Patent Publication Number: US-2021194455-A1

Title: Acoustic wave device, acoustic wave filter, and composite filter device

Description:
CROSS REFERENCE TO RELATED APPLICATIONS 
     This application claims the benefit of priority to Japanese Patent Application No. 2018-168265 filed on Sep. 7, 2018 and is a Continuation Application of PCT Application No. PCT/JP2019/035185 filed on Sep. 6, 2019. The entire contents of each application are hereby incorporated herein by reference. 
    
    
     BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     The present invention relates to an acoustic wave device, an acoustic wave filter, and a composite filter device including a lithium tantalate film that is laminated on a support substrate made of silicon. 
     2. Description of the Related Art 
     A plurality of acoustic wave filters has been widely used in high frequency front end circuits of mobile phones and smartphones. For example, in a demultiplexer described in Japanese Unexamined Patent Application Publication No. 2014-68123, terminals of two or more band pass filters having different frequencies are connected in common. Each of the band pass filters is defined by a surface acoustic wave filter chip. Each surface acoustic wave filter chip includes a plurality of surface acoustic wave resonators. 
     An acoustic wave resonator described in Japanese Unexamined Patent Application Publication No. 2010-187373 discloses an acoustic wave device formed by laminating an insulation film made of silicon dioxide and a piezoelectric substrate made of lithium tantalate on a silicon support substrate. Bonding in the (111) plane of silicon enhances the heat resistance. 
     In an acoustic wave device described in Japanese Unexamined Patent Application Publication No. 2014-68123, a plurality of acoustic wave filters having different frequencies are connected in common on antenna terminal side. 
     The inventors of preferred embodiments of the present application have discovered that a plurality of spurious responses appear on a higher frequency side relative to the main mode used in an acoustic wave resonator in which a lithium tantalate film is laminated directly on or indirectly above a silicon support substrate. When such an acoustic wave resonator is used for an acoustic wave filter having a lower pass band in an acoustic wave device, a spurious response appearing in the acoustic wave filter may appear in a pass band of another acoustic wave filter having a higher pass band in the acoustic wave device. Thus, the filter characteristic of another acoustic wave filter may deteriorate. 
     SUMMARY OF THE INVENTION 
     Preferred embodiments of the present invention provide acoustic wave devices, acoustic wave filters, and composite filter devices that are each less likely to generate a ripple in another acoustic wave filter. 
     An acoustic wave device according to a preferred embodiment of the present invention includes a silicon support substrate, a silicon oxide film laminated above the silicon support substrate, a lithium tantalate film laminated above the silicon oxide film, an IDT electrode including an electrode finger and being provided above the lithium tantalate film, and a protection film covering at least a portion of the IDT electrode. When a wavelength determined by an electrode finger pitch of the IDT electrode is denoted by λ, a wavelength normalized film thickness of the lithium tantalate film is denoted by T LT , θ of an Euler angle of the lithium tantalate film is denoted by θ LT , a wavelength normalized film thickness of the silicon oxide film is denoted by T S , a wavelength normalized film thickness of the IDT electrode in terms of aluminum thickness being a product of a wavelength normalized film thickness of the IDT electrode and a value obtained when density of the IDT electrode is divided by density of aluminum is denoted by T E , a wavelength normalized film thickness of the protection film being a product of a value obtained when density of the protection film is divided by density of silicon oxide and a wavelength normalized film thickness which is a thickness of the protection film normalized by the wavelength λ is denoted by T P , a propagation direction in the silicon support substrate is denoted by ψ Si , and a wavelength normalized film thickness which is a thickness of the silicon support substrate normalized by the wavelength λ is denoted by T Si , T LT , θ LT , T S , T E , T P , and ψ Si  are set such that a value represented by Formula (1) below is larger than about −2.4: 
     
       
         
           
             
               
                 
                   
                     
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                      
                     
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                    
                   
                     indicates text missing or illegible when filed 
                   
                 
               
               
                 
                   Formula 
                    
                   
                       
                   
                    
                   
                     ( 
                     1 
                     ) 
                   
                 
               
             
           
         
       
     
     Coefficients a, b, c, d, e, and f in Formula (1) are values described in Table 1 to Table 12 below that are determined in accordance with the crystal orientation of the silicon support substrate and the range of T S , T LT , and ψ Si : 
     
       
         
           
               
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
               
               
                 a TLT   (1)   
                 0 
                 0 
               
               
                 b TLT   (2)   
                 0 
                 0 
               
               
                 c TLT   
                 0 
                 0 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 −5.857231176 
                 −5.857231176 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.148 
                 0.148 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
               
               
                 a TE   (2)   
                 −19.75255913 
                 −19.75255913 
               
               
                 a TE   (1)   
                 −2.877583447 
                 −2.877583447 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.022736 
                 0.022736 
               
               
                 c TE   
                 0.242 
                 0.242 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0.004788767 
                 0.004788767 
               
               
                 a ψSi   (1)   
                 0.024306207 
                 0.024306207 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 81.81 
                 81.81 
               
               
                 c ψSi   
                 8.7 
                 8.7 
               
               
                 a θLT   (2)   
                 −0.008235936 
                 −0.008235936 
               
               
                 a θLT   (1)   
                 −0.021048278 
                 −0.021048278 
               
               
                 b θLT   (2)   
                 65.16 
                 65.16 
               
               
                 c θLT   
                 −52.2 
                 −52.2 
               
               
                 d TLTTS   
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
               
               
                 d TLTψSi   
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
               
               
                 d TSθLT   
                 −0.786852571 
                 −0.786852571 
               
               
                 d TEψSi   
                 0 
                 0 
               
               
                 d TEθLT   
                 −0.237034335 
                 −0.237034335 
               
               
                 d ψSiθLT   
                 0 
                 0 
               
               
                 e 
                 −1.499243378  
                 −1.499248378 
               
               
                 a TP   
                 −111692 
                 −111692 
               
               
                 b TP   
                 19239 
                 19239 
               
               
                 c TP   
                 −952.97 
                 −952.97 
               
               
                 d TP   
                 8.8027 
                 8.8027 
               
               
                 f TP   
                 1.0495 
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 2 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 125.5342427 
               
               
                 a TLT   (1)   
                 −13.43961051 
                 −7.643409732 
               
               
                 b TLT   (2)   
                 0 
                 0.006076558 
               
               
                 c TLT   
                 0.329307692  
                 0.321186441  
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 −11.80744783 
                 −10.05303878 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.158653346 
                 0.153389531 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
               
               
                 a TE   (1)   
                 0 
                 −7.595099843 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
               
               
                 c TE   
                 0 
                 0.366101695 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0.003335792 
                 0 
               
               
                 a ψSi   (1)   
                 0.039268266 
                 −0.013700762 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 191.7159763 
                 0 
               
               
                 c ψSi   
                 13.26923077 
                 16.01694915 
               
               
                 a θLT   (2)   
                 −0.007476194 
                 0 
               
               
                 a θLT   (1)   
                 −0.010867175 
                 −0.053997369  
               
               
                 b θLT   (2)   
                 69.19378698 
                 0 
               
               
                 c θLT   
                 −50.19230769 
                 −50.59322034 
               
               
                 d TLTTS   
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
               
               
                 d TLTψSi   
                 −0.629167148 
                 −0.724576033 
               
               
                 d TLTθLT   
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0.521919406 
               
               
                 d TSθLT   
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 −0.623966449 
               
               
                 d TEθLT   
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
               
               
                 e 
                 −2.071831837 
                 −3.228508418 
               
               
                 a TP   
                 −11592 
                 −111692 
               
               
                 b TP   
                 19239 
                 19239 
               
               
                 c TP   
                 −952.97 
                 −952.97 
               
               
                 d TP   
                 8.8027 
                 8.8027 
               
               
                 f TP   
                 1.0495 
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 3 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −15.6141248 
                 −15.6141248 
               
               
                 b TLT   (2)   
                 0 
                 0 
               
               
                 c TLT   
                 0.163309353 
                 0.163309353 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 −22.02440893 
                 −22.02440893 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.325179856 
                 0.325179856 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 −248.4374004 
                 −248.4374004 
               
               
                 a TE   (2)   
                 −36.57127964 
                 −36.57127964 
               
               
                 a TE   (1)   
                 13.88180854 
                 13.88180854 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0.000480119 
                 0.000480119 
               
               
                 b TE   (2)   
                 0.020416128 
                 0.020416128 
               
               
                 c TE   
                 0.240647482 
                 0.240647482 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0.002456326 
                 0.002456326 
               
               
                 a ψSi   (1)   
                 0.048553126 
                 0.048553126 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 279.6050929 
                 279.6050929 
               
               
                 c ψSi   
                 22.3381295 
                 22.3381295 
               
               
                 a θLT   (2)   
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.005427275 
                 0.005427275 
               
               
                 b θLT   (2)   
                 0 
                 0 
               
               
                 c θLT   
                 −50.35971223 
                 −50.35971223 
               
               
                 d TLTTS   
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
               
               
                 d TLTψSi   
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
               
               
                 d TSTE   
                 41.63149071 
                 41.63149071 
               
               
                 d TSψSi   
                 −0.577179204 
                 −0.577179204 
               
               
                 d TSθLT   
                 0.603866778 
                 0.603866778 
               
               
                 d TEψSi   
                 0.134944598 
                 0.134944598 
               
               
                 d TEθLT   
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
               
               
                 e 
                 −2.703317679 
                 −2.703317679 
               
               
                 a TP   
                 −111692 
                 −111692 
               
               
                 b TP   
                 19239 
                 19239 
               
               
                 c TP   
                 −952.97 
                 −952.97 
               
               
                 d TP   
                 8.8027 
                 8.8027 
               
               
                 f TP   
                 1.0495 
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 4 
               
             
            
               
                   
               
               
                 Si(100)  
               
               
                 0.2 ≤ T LT  ≤ 3.5  
               
               
                 0.2 ≤ T S  ≤ 2.0  
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25  
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)    
                 0  
                 133.7896555  
               
               
                 a TLT   (1)    
                 −7.761727985  
                 −9.701155851  
               
               
                 b TLT   (2)    
                 0  
                 0.006281971  
               
               
                 c TLT    
                 0.315508021  
                 0.306914894  
               
               
                 a TS   (2)    
                 0  
                 0  
               
               
                 a TS   (1)    
                 −20.35135077  
                 −6.186650236  
               
               
                 b TS   (2)    
                 0  
                 0  
               
               
                 c TS    
                 0.297860963  
                 0.298404255  
               
               
                 a TE   (4)    
                 0  
                 0  
               
               
                 a TE   (3)    
                 0  
                 0  
               
               
                 a TE   (2)    
                 110.8304316  
                 0  
               
               
                 a TE   (1)    
                 4.036561723  
                 −8.229960495  
               
               
                 b TE   (4)    
                 0  
                 0  
               
               
                 b TE   (3)    
                 0  
                 0  
               
               
                 b TE   (2)    
                 0.006431411  
                 0  
               
               
                 c TE    
                 0.140374332  
                 0.363297872  
               
               
                 a ψSi   (6)    
                 0  
                 0  
               
               
                 a ψSi   (5)    
                 0  
                 0  
               
               
                 a ψSi   (4)    
                 0  
                 0  
               
               
                 a ψSi   (3)    
                 0  
                 0  
               
               
                 a ψSi   (2)    
                 0.002534654  
                 0.001652947  
               
               
                 a ψSi   (1)    
                 0.024168138  
                 −0.003241344  
               
               
                 b ψSi   (6)    
                 0  
                 0  
               
               
                 b ψSi   (5)    
                 0  
                 0  
               
               
                 b ψSi   (4)    
                 0  
                 0  
               
               
                 b ψSi   (3)    
                 0  
                 0  
               
               
                 b ψSi   (2)    
                 269.2484772  
                 266.6845858  
               
               
                 c ψSi   
                 21.4171123  
                 20.26595745  
               
               
                 a θLT   (2)    
                 0  
                 0  
               
               
                 a θLT   (1)    
                 0  
                 −0.066116428  
               
               
                 b θLT   (2)    
                 0  
                 0  
               
               
                 c θLT   
                 −90  
                 −50.4787234  
               
               
                 d TLTTS    
                 96.23533718  
                 0  
               
               
                 d TLTTE    
                 −66.46866878  
                 0  
               
               
                 d TLTψSi   
                 −0.404808481  
                 −0.688053172  
               
               
                 d TLTθLT   
                 0  
                 0  
               
               
                 d TSTE    
                 0  
                 0  
               
               
                 d TSψSi   
                 −0.733337318  
                 0  
               
               
                 d TSθLT   
                 0  
                 0  
               
               
                 d TEψSi   
                 0.584322518  
                 −0.372994212  
               
               
                 d TEθLT   
                 0  
                 0  
               
               
                 d ψSiθLT   
                 0  
                 0  
               
               
                 e  
                 −3.679364607  
                 −4.30794513  
               
               
                 a TP    
                 −111692  
                 −111692  
               
               
                 b TP    
                 19239  
                 19239  
               
               
                 c TP    
                 −952.97  
                 −952.97  
               
               
                 d TP    
                 8.8027  
                 8.8027  
               
               
                 f TP    
                 1.0495  
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 5 
               
             
            
               
                   
               
               
                 Si(110)  
               
               
                 0 &lt; T LT  &lt; 0.2  
               
               
                 0 ≤ T S  &lt; 0.2  
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25  
                 0.25 ≤ T E  ≤ 0.45  
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45  
                 45 ≤ ψ Si  ≤ 90  
                 0 ≤ ψ Si  &lt; 45  
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TLT   (1)    
                 −16.69742899  
                 −16.69742899  
                 −33.56520202  
                 0  
               
               
                 b TLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TLT    
                 0.1675  
                 0.1675  
                 0.192857143  
                 0  
               
               
                 a TS   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TS   (1)    
                 15.90196012  
                 15.90196012  
                 0  
                 0  
               
               
                 b TS   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TS    
                 0.1525  
                 0.1525  
                 0  
                 0  
               
               
                 a TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (2)    
                 0  
                 0  
                 26.3030303  
                 0  
               
               
                 a TE   (1)    
                 0  
                 0  
                 −6.181053391  
                 0  
               
               
                 b TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (2)    
                 0  
                 0  
                 0.006326531  
                 0  
               
               
                 c TE    
                 0  
                 0  
                 0.378571429  
                 0  
               
               
                 a ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (3)    
                 −0.000183963  
                 −0.000183963  
                 0  
                 −0.000177142  
               
               
                 a ψSi   (2)    
                 −0.003236307  
                 −0.003236307  
                 0  
                 0.002186084  
               
               
                 a ψSi   (1)    
                 0.071460688  
                 0.071460688  
                 0.085067773  
                 0.13561432  
               
               
                 b ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (3)    
                 −5768.71875  
                 −5768.71875  
                 0  
                 2642.857143  
               
               
                 b ψSi   (2)    
                 399.9375  
                 399.9375  
                 0  
                 500  
               
               
                 c ψSi   
                 65.25  
                 65.25  
                 34.28571429  
                 55  
               
               
                 a θLT   (2)    
                 0  
                 0  
                 0  
                 −0.005336622  
               
               
                 a θLT   (1)    
                 0  
                 0  
                 0.070255628  
                 0.032718563  
               
               
                 b θLT   (2)    
                 0  
                 0  
                 0  
                 65.75963719  
               
               
                 c θLT   
                 −90  
                 −90  
                 −51.42857143  
                 −50.95238095  
               
               
                 d TLTTS    
                 0  
                 0  
                 0  
                 0  
               
               
                 d TLTTE    
                 0  
                 0  
                 0  
                 0  
               
               
                 d TLTψSi   
                 1.873870705  
                 1.873870705  
                 0  
                 0  
               
               
                 d TLTθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSTE    
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TEψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TEθLT   
                 0  
                 0  
                 0.716151515  
                 0  
               
               
                 d ψSiθLT   
                 0  
                 0  
                 −0.00729303  
                 0.002110378  
               
               
                 e  
                 −0.957101918  
                 −0.957101918  
                 −1.634922542  
                 −1.290881853  
               
               
                 a TP    
                 −111692  
                 −111692  
                 −111692  
                 −111692  
               
               
                 b TP    
                 19239  
                 19239  
                 19239  
                 19239  
               
               
                 c TP    
                 −952.97  
                 −952.97  
                 −952.97  
                 −952.97  
               
               
                 d TP    
                 8.8027  
                 8.8027  
                 8.8027  
                 8.8027  
               
               
                 f TP    
                 1.0495  
                 1.0495  
                 1.0495  
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 6 
               
             
            
               
                   
               
               
                 Si(110)  
               
               
                 0.2 ≤ T LT  ≤ 3.5  
               
               
                 0 ≤ T S  &lt; 0.2  
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25  
                 0.25 ≤ T E  ≤ 0.45  
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45  
                 45 ≤ ψ Si  ≤ 90  
                 0 ≤ ψ Si  &lt; 45  
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TLT   (1)    
                 −23.96596978  
                 −4.695531045  
                 −7.344438725  
                 −5.603099398  
               
               
                 b TLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TLT    
                 0.34  
                 0.3296875  
                 0.338983051  
                 0.306666667  
               
               
                 a TS   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TS   (1)    
                 −23.18485905  
                 0  
                 0  
                 0  
               
               
                 b TS   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TS    
                 0.175555556  
                 0  
                 0  
                 0  
               
               
                 a TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (2)    
                 0  
                 −43.48595551  
                 −70.50554427  
                 −41.95412638  
               
               
                 a TE   (1)    
                 0  
                 −2.467954545  
                 −5.460437635  
                 −2.19025056  
               
               
                 b TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (2)    
                 0  
                 0.006875  
                 0.006716461  
                 0.006819556  
               
               
                 c TE    
                 0  
                 0.15  
                 0.365254237  
                 0.360666667  
               
               
                 a ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (3)    
                 0  
                 0  
                 0.000119479  
                 −0.000172812  
               
               
                 a ψSi   (2)    
                 0.018474062  
                 0  
                 0.003987724  
                 0.002213009  
               
               
                 a ψSi   (1)    
                 0.059131688  
                 0  
                 −0.047908658  
                 0.073831446  
               
               
                 b ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (3)    
                 0  
                 0  
                 −2384.203107  
                 1647.952  
               
               
                 b ψSi   (2)    
                 81.55555556  
                 0  
                 216.791152  
                 242.24  
               
               
                 c ψSi   
                 35.33333333  
                 0  
                 30.76271186  
                 62.6  
               
               
                 a θLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a θLT   (1)    
                 0.009475371  
                 0  
                 0.026725168  
                 0  
               
               
                 b θLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c θLT   
                 −49.23333333  
                 −90  
                 −49.83050847  
                 −90  
               
               
                 d TLTTS    
                 0  
                 0  
                 0  
                 0  
               
               
                 d TLTTE    
                 0  
                 0  
                 0  
                 42.3018696  
               
               
                 d TLTψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TLTθLT   
                 0.617240199  
                 0  
                 0  
                 0  
               
               
                 d TSTE    
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSψSi   
                 2.612107038  
                 0  
                 0  
                 0  
               
               
                 d TSθLT   
                 2.129359248  
                 0  
                 0  
                 0  
               
               
                 d TEψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TEθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d ψSiθLT   
                 0.871101002  
                 0  
                 0  
                 0  
               
               
                 e  
                 −2.851861362  
                 −2.210765625  
                 −2.573237288  
                 −2.440604203  
               
               
                 a TP    
                 −111692  
                 −111692  
                 −111692  
                 −111692  
               
               
                 b TP    
                 19239  
                 19239  
                 19239  
                 19239  
               
               
                 c TP    
                 −952.97  
                 −952.97  
                 −952.97  
                 −952.97  
               
               
                 d TP    
                 8.8027  
                 8.8027  
                 8.8027  
                 8.8027  
               
               
                 f TP    
                 1.0495  
                 1.0495  
                 1.0495  
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 Si(110)  
               
               
                 0 &lt; T LT  &lt; 0.2  
               
               
                 0.2 ≤ T S  ≤ 2.0  
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25  
                 0.25 ≤ T E  ≤ 0.45  
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45  
                 45 ≤ ψ Si  ≤ 90  
                 0 ≤ ψ Si  &lt; 45  
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TLT   (1)    
                 −10.87353735  
                 −17.74612134  
                 −16.74814911  
                 −16.74814911  
               
               
                 b TLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TLT    
                 0.167045455  
                 0.158227848  
                 0.168032787  
                 0.168032787  
               
               
                 a TS   (2)    
                 92.14417413  
                 275.6432031  
                 0  
                 0  
               
               
                 a TS   (1)    
                 −6.141913324  
                 −0.713377524  
                 −9.071522271  
                 −9.071522271  
               
               
                 b TS   (2)    
                 0.004213585  
                 0.004749239  
                 0  
                 0  
               
               
                 c TS    
                 0.339772727  
                 0.317721519  
                 0.314754098  
                 0.314754098  
               
               
                 a TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (2)    
                 −37.82699975  
                 0  
                 0  
                 0  
               
               
                 a TE   (1)    
                 4.315324766  
                 3.259148162  
                 −5.270739047  
                 −5.270739047  
               
               
                 b TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (2)    
                 0.007147469  
                 0  
                 0  
                 0  
               
               
                 c TE    
                 0.153409091  
                 0.138607595  
                 0.356557377  
                 0.356557377  
               
               
                 a ψSi   (6)    
                 0  
                 0  
                 −3.73552E−09  
                 −3.73552E−09  
               
               
                 a ψSi   (5)    
                 0  
                 0  
                 −4.69013E−08  
                 −4.69013E−08  
               
               
                 a ψSi   (4)    
                 0  
                 0  
                 1.07773E−05  
                 1.07773E−05  
               
               
                 a ψSi   (3)    
                 0.000254041  
                 −0.000266841  
                 5.64997E−05  
                 5.64997E−05  
               
               
                 a ψSi   (2)    
                 0.00704637  
                 0.003350583  
                 −0.007526984  
                 −0.007526984  
               
               
                 a ψSi   (1)    
                 −0.123432463  
                 0.05687546  
                 −0.035719404  
                 −0.035719404  
               
               
                 b ψSi   (6)    
                 0  
                 0  
                 1801696668 
                 1801696668 
               
               
                 b ψSi   (5)    
                 0  
                 0  
                 6726299.443  
                 6726299.443  
               
               
                 b ψSi   (4)    
                 0  
                 0  
                 1035415.498  
                 1035415.498  
               
               
                 b ψSi   (3)    
                 −1197.310014  
                 2539.305207  
                 3573.665857  
                 3573.665857  
               
               
                 b ψSi   (2)    
                 188.2457386  
                 286.0358917  
                 720.1088417  
                 720.1088417  
               
               
                 c ψSi   
                 28.125  
                 63.60759494  
                 48.19672131  
                 48.19672131  
               
               
                 a θLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a θLT   (1)    
                 0.046748629  
                 0.00460971  
                 0  
                 0  
               
               
                 b θLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c θLT   
                 −51.59090909  
                 −50.75949367  
                 −90  
                 −90  
               
               
                 d TLTTS    
                 0  
                 0  
                 0  
                 0  
               
               
                 d TLTTE    
                 0  
                 105.3055279  
                 0  
                 0  
               
               
                 d TLTψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TLTθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSTE    
                 58.63016883  
                 0  
                 0  
                 0  
               
               
                 d TSψSi   
                 0.443510572  
                 0.274149566  
                 0  
                 0  
               
               
                 d TSθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TEψSi   
                 0.293912516  
                 −0.280924747  
                 0  
                 0  
               
               
                 d TEθLT   
                 0  
                 0.457718571  
                 0  
                 0  
               
               
                 d ψSiθLT   
                 0  
                 −0.005165328  
                 0  
                 0  
               
               
                 e  
                 −1.722804167  
                 −2.484892701  
                 −2.976959016  
                 −2.976959016  
               
               
                 a TP    
                 −111692  
                 −111692  
                 −111692  
                 −111692  
               
               
                 b TP    
                 19239  
                 19239  
                 19239  
                 19239  
               
               
                 c TP    
                 −952.97  
                 −952.97  
                 −952.97  
                 −952.97  
               
               
                 d TP    
                 8.8027  
                 8.8027  
                 8.8027  
                 8.8027  
               
               
                 f TP    
                 1.0495  
                 1.0495  
                 1.0495  
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 8 
               
             
            
               
                   
               
               
                 Si(110)  
               
               
                 0.2 ≤ T LT  ≤ 3.5  
               
               
                 0.2 ≤ T S  ≤ 2.0  
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25  
                 0.25 ≤ T E  ≤ 0.45  
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45  
                 45 ≤ ψ Si  ≤ 90  
                 0 ≤ ψ Si  &lt; 45  
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)    
                 0  
                 0  
                 0  
                 39.48011293  
               
               
                 a TLT   (1)    
                 −5.239160454  
                 −5.820942031  
                 −4.867344296  
                 −2.496300587  
               
               
                 b TLT   (2)    
                 0  
                 0  
                 0  
                 0.00654321  
               
               
                 c TLT    
                 0.309375  
                 0.302702703  
                 0.286363636  
                 0.288888889  
               
               
                 a TS   (2)    
                 24.40391167  
                 40.38499201  
                 0  
                 40.45660337  
               
               
                 a TS   (1)    
                 −2.128595361  
                 −6.73354721  
                 −3.626479228  
                 −6.290401812  
               
               
                 b TS   (2)    
                 0.006013184  
                 0.005624543  
                 0  
                 0.005617284  
               
               
                 c TS    
                 0.3265625  
                 0.275675676  
                 0.31  
                 0.272222222  
               
               
                 a TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (2)    
                 0  
                 −51.46488975  
                 0  
                 0  
               
               
                 a TE   (1)    
                 −1.921891837  
                 −0.509929613  
                 −1.508039016  
                 −0.870147512  
               
               
                 b TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (2)    
                 0  
                 0.006479182  
                 0  
                 0  
               
               
                 c TE    
                 0.153125  
                 0.147297297  
                 0.341818182  
                 0.351388889  
               
               
                 a ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (3)    
                 0  
                 −0.000165117  
                 0  
                 −9.55404E−05  
               
               
                 a ψSi   (2)    
                 0.000936051  
                 0.00475603  
                 0  
                 0.002198207  
               
               
                 a ψSi   (1)    
                 −0.02141106  
                 0.040196571  
                 −0.017752634  
                 0.036260775  
               
               
                 b ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (3)    
                 0  
                 2115.829763  
                 0  
                 1531.394676  
               
               
                 b ψSi   (2)    
                 246.9177246  
                 196.5668371  
                 0  
                 199.8263889  
               
               
                 c ψSi   
                 24.140625  
                 57.97297297  
                 21.13636364  
                 60.41666667  
               
               
                 a θLT   (2)    
                 0  
                 0  
                 0  
                 −0.003220943  
               
               
                 a θLT   (1)    
                 0.023743346  
                 0.023741003  
                 0.038368027  
                 0.005042496  
               
               
                 b θLT   (2)    
                 0  
                 0  
                 0  
                 72.22222222  
               
               
                 c θLT   
                 −50.078125  
                 −48.51351351  
                 −50.81818182  
                 −50  
               
               
                 d TLTTS    
                 0  
                 0  
                 0  
                 −43.45862557  
               
               
                 d TLTTE    
                 −35.16960363  
                 −48.00382984  
                 23.6423037  
                 52.46703277  
               
               
                 d TLTψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TLTθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSTE    
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSθLT   
                 0  
                 9  
                 0  
                 0  
               
               
                 d TEψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TEθLT   
                 0.234382842  
                 0  
                 0  
                 −0.273892853  
               
               
                 d ψSiθLT   
                 0  
                 −0.00130658  
                 −0.001221935  
                 0  
               
               
                 e  
                 −2.175330984  
                 −2.239116787  
                 −2.271294054  
                 −2.496300587  
               
               
                 a TP    
                 −111692  
                 −111692  
                 −111692  
                 −111692  
               
               
                 b TP    
                 19239  
                 19239  
                 19239  
                 19239  
               
               
                 c TP    
                 −952.97  
                 −952.97  
                 −952.97  
                 −952.97  
               
               
                 d TP    
                 8.8027  
                 8.8027  
                 8.8027  
                 8.8027  
               
               
                 f TP    
                 1.0495  
                 1.0495  
                 1.0495  
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 9 
               
             
            
               
                   
               
               
                 Si(111)  
               
               
                 0 &lt; T LT  &lt; 0.2  
               
               
                 0 ≤ T S  &lt; 2.0  
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25  
                 0.25 ≤ T E  ≤ 0.45  
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30  
                 30 ≤ ψ Si  ≤ 60  
                 0 ≤ ψ Si  &lt; 30  
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TLT   (1)    
                 16.07631847  
                 20.22733656  
                 30.72650306  
                 27.83979251  
               
               
                 b TLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TLT    
                 0.145833333  
                 0.1625  
                 0.159574468  
                 0.158695652  
               
               
                 a TS   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TS   (1)    
                 17.08812597  
                 27.84866827  
                 31.28009383  
                 12.67453621  
               
               
                 b TS   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TS    
                 0.154166667  
                 0.172916667  
                 0.161702128  
                 0.163043478  
               
               
                 a TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (2)    
                 −96.15629371  
                 0  
                 138.3065683  
                 0  
               
               
                 a TE   (1)    
                 −1.263589744  
                 2.883915191  
                 −9.345807167  
                 −7.807789594  
               
               
                 b TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (2)    
                 0.006649306  
                 0  
                 0.006229063  
                 0  
               
               
                 c TE    
                 0.170833333  
                 0.14375  
                 0.369148938  
                 0.345652174  
               
               
                 a ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (2)    
                 0  
                 0  
                 0  
                 −0.006862727  
               
               
                 a ψSi   (1)    
                 −0.101535567  
                 −0.012511908  
                 −0.101466433  
                 0.176438509  
               
               
                 b ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (2)    
                 0  
                 0  
                 0  
                 114.9456522  
               
               
                 c ψSi   
                 24.375  
                 44.375  
                 22.0212766  
                 37.5  
               
               
                 a θLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a θLT   (1)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b θLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c θLT   
                 −90  
                 −90  
                 −90  
                 −90  
               
               
                 d TLTTS    
                 −477.9162005  
                 −760.9473336  
                 −1054.386561  
                 −1044.340968  
               
               
                 d TLTTE    
                 0  
                 0  
                 0  
                 0  
               
               
                 d TLTψSi   
                 0  
                 1.332405924  
                 0  
                 0  
               
               
                 d TLTθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSTE    
                 0  
                 −250.1524613  
                 102.33575  
                 105.8611165  
               
               
                 d TSψSi   
                 0  
                 0  
                 0  
                 −2.093429604  
               
               
                 d TSθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TEψSi   
                 −0.613440559  
                 0  
                 1.201832187  
                 −0.525734733  
               
               
                 d TEθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d ψSiθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 e  
                 −0.553295028  
                 −1.074792989  
                 −1.290770348  
                 −1.165057152  
               
               
                 a TP    
                 −111692  
                 −111692  
                 −111692  
                 −111692  
               
               
                 b TP    
                 19239  
                 19239  
                 19239  
                 19239  
               
               
                 c TP    
                 −952.97  
                 −952.97  
                 −952.97  
                 −952.97  
               
               
                 d TP    
                 8.8027  
                 8.8027  
                 8.8027  
                 8.8027  
               
               
                 f TP    
                 1.0495  
                 1.0495  
                 1.0495  
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 10 
               
             
            
               
                   
               
               
                 Si(111)  
               
               
                 0.2 ≤ T LT  ≤ 3.5  
               
               
                 0 ≤ T S  &lt; 0.2  
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25  
                 0.25 ≤ T E  ≤ 0.45  
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30  
                 30 ≤ ψ Si  ≤ 60  
                 0 ≤ ψ Si  &lt; 30  
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)    
                 −262.3995984  
                 −262.3995984  
                 0  
                 0  
               
               
                 a TLT   (1)    
                 −59.70400634  
                 −59.70400634  
                 −18.45032018  
                 −20.44479246  
               
               
                 b TLT   (2)    
                 0.004691358  
                 0.004691358  
                 0  
                 0  
               
               
                 c TLT    
                 0.355555556  
                 0.355555556  
                 0.332352941  
                 0.331914894  
               
               
                 a TS   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TS   (1)    
                 −73.33869606  
                 −73.33869606  
                 −9.963926388  
                 −24.5747574  
               
               
                 b TS   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TS    
                 0.185185185  
                 0.185185185  
                 0.166176471  
                 0.165957447  
               
               
                 a TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (1)    
                 −19.84024877  
                 −19.84024877  
                 −8.905455835  
                 −17.17093947  
               
               
                 b TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TE    
                 0.157407407  
                 0.157407407  
                 0.369117647  
                 0.373404255  
               
               
                 a ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (4)    
                 −4.69771E−05  
                 −4.69771E−05  
                 0  
                 0  
               
               
                 a ψSi   (3)    
                 −0.000362538  
                 −0.000362538  
                 0  
                 0  
               
               
                 a ψSi   (2)    
                 0.055133453  
                 0.055133453  
                 −0.004320224  
                 0.021125116  
               
               
                 a ψSi   (1)    
                 0.020862911  
                 0.020862911  
                 −0.110606012  
                 −0.064218508  
               
               
                 b ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (4)    
                 138552.1512  
                 138552.1512  
                 0  
                 0  
               
               
                 b ψSi   (3)    
                 −78.36076818  
                 −78.36076818  
                 0  
                 0  
               
               
                 b ψSi   (2)    
                 203.1635802  
                 203.1635802  
                 145.9775087  
                 66.20642825  
               
               
                 c ψSi   
                 33.05555556  
                 33.05555556  
                 19.41176471  
                 34.46808511  
               
               
                 a θLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a θLT   (1)    
                 −0.079155699  
                 −0.079155699  
                 0  
                 0.057672719  
               
               
                 b θLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c θLT   
                 −49.81481481  
                 −49.81481481  
                 −90  
                 −49.14893617  
               
               
                 d TLTTS    
                 0  
                 0  
                 0  
                 0  
               
               
                 d TLTTE    
                 −254.5809235  
                 −254.5809235  
                 80.69948416  
                 99.56817027  
               
               
                 d TLTψSi   
                 2.260189055  
                 2.260189055  
                 0  
                 0  
               
               
                 d TLTθLT   
                 −0.785540829  
                 −0.785540829  
                 0  
                 0  
               
               
                 d TSTE    
                 −292.5762951  
                 −292.5762951  
                 0  
                 0  
               
               
                 d TSψSi   
                 −5.914103654  
                 −5.914103654  
                 −1.139436429  
                 0  
               
               
                 d TSθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TEψSi   
                 1.75463008  
                 1.75463008  
                 0.660099875  
                 −3.844659844  
               
               
                 d TEθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d ψSiθLT   
                 0  
                 0  
                 0  
                 0.006965097  
               
               
                 e  
                 −1.304804416  
                 −1.304804416  
                 −2.734683251  
                 −3.115044468  
               
               
                 a TP    
                 −111692  
                 −111692  
                 −111692  
                 −111692  
               
               
                 b TP    
                 19239  
                 19239  
                 19239  
                 19239  
               
               
                 c TP    
                 −952.97  
                 −952.97  
                 −952.97  
                 −952.97  
               
               
                 d TP    
                 8.8027  
                 8.8027  
                 8.8027  
                 88027  
               
               
                 f TP    
                 1.0495  
                 1.0495  
                 1.0495  
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 11 
               
             
            
               
                   
               
               
                 Si(111)  
               
               
                 0 &lt; T LT  &lt; 0.2  
               
               
                 0.2 ≤ T S  ≤ 2.0  
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25  
                 0.25 ≤ T E  ≤ 0.45  
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30  
                 30 ≤ ψ Si  ≤ 60  
                 0 ≤ ψ Si  &lt; 30  
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)    
                 0.003649147  
                 0  
                 0  
                 0  
               
               
                 a TLT   (1)    
                 −17.27824731  
                 −24.3903101  
                 −38.65647339  
                 −21.91795924  
               
               
                 b TLT   (2)    
                 67.18624026  
                 0  
                 0  
                 0  
               
               
                 c TLT    
                 0.154098361  
                 0.15631068  
                 0.17  
                 0.1575  
               
               
                 a TS   (2)    
                 84.63185118  
                 0  
                 148.7691928  
                 140.0125491  
               
               
                 a TS   (1)    
                 −6.307527081  
                 −32.68184816  
                 −15.38083251  
                 −11.91949736  
               
               
                 b TS   (2)    
                 0.004461166  
                 0  
                 0.005012245  
                 0.004623438  
               
               
                 c TS    
                 0.352459016  
                 0.345631068  
                 0.331428571  
                 0.33875  
               
               
                 a TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (1)    
                 2.909874306  
                 8.840975559  
                 −16.54803788  
                 −0.024546617  
               
               
                 b TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TE    
                 0.135245902  
                 0.148058252  
                 0.372857143  
                 0.33125  
               
               
                 a ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (2)    
                 0  
                 0.006216698  
                 0  
                 0  
               
               
                 a ψSi   (1)    
                 −0.068574135  
                 −0.018885558  
                 0.187578295  
                 0.122573316  
               
               
                 b ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (2)    
                 0  
                 147.1439344  
                 0  
                 0  
               
               
                 c ψSi   
                 22.62295082  
                 43.10679612  
                 22.71428571  
                 39.1875  
               
               
                 a θLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a θLT   (1)    
                 0.023219728  
                 0.047846607  
                 0.097088558  
                 0.096327065  
               
               
                 b θLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c θLT   
                 −50.16393443  
                 −50.38834951  
                 −50.42857143  
                 −51.25  
               
               
                 d TLTTS    
                 0  
                 −144.763071  
                 0  
                 0  
               
               
                 d TLTTE    
                 0  
                 0  
                 −161.2345526  
                 0  
               
               
                 d TLTψSi   
                 −0.827435588  
                 0  
                 0  
                 1.107475984  
               
               
                 d TLTθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSTE    
                 0  
                 103.0553675  
                 −65.68497311  
                 0  
               
               
                 d TSψSi   
                 0  
                 −1.329400713  
                 0.82928215  
                 −0.646921162  
               
               
                 d TSθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TEψSi   
                 −0.681669875  
                 0.653050787  
                 0.676734069  
                 0.936807034  
               
               
                 d TEθLT   
                 0  
                 0  
                 0.481989709  
                 0.52746173  
               
               
                 d ψSiθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 e  
                 −1.560056382  
                 −2.656750279  
                 −2.259351603  
                 −1.805786084  
               
               
                 a TP    
                 −111692  
                 −111692  
                 −111692  
                 −111692  
               
               
                 b TP    
                 19239  
                 19239  
                 19239  
                 19239  
               
               
                 c TP    
                 −952.97  
                 −952.97  
                 −952.97  
                 −952.97  
               
               
                 d TP    
                 8.8027  
                 8.8027  
                 8.8027  
                 8.8027  
               
               
                 f TP    
                 1.0495  
                 1.0495  
                 1.0495  
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 12 
               
             
            
               
                   
               
               
                 Si(111)  
               
               
                 0.2 ≤ T LT  ≤ 3.5  
               
               
                 0.2 ≤ T S  ≤ 2.0  
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25  
                 0.25 ≤ T E  ≤ 0.45  
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30  
                 30 ≤ ψ Si  ≤ 60  
                 0 ≤ ψ Si  &lt; 30  
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)    
                 0  
                 77.3065693  
                 243.6937004  
                 0  
               
               
                 a TLT   (1)    
                 −13.49335267  
                 −9.878165228  
                 −6.309863061  
                 −12.90130633  
               
               
                 b TLT   (2)    
                 0  
                 0.00674795  
                 0.006522811  
                 0  
               
               
                 c TLT    
                 0.300961538  
                 0.297350993  
                 0.29858156  
                 0.306818182  
               
               
                 a TS   (2)    
                 133.2691939  
                 160.4037443  
                 82.71737336  
                 100.5491122  
               
               
                 a TS   (1)    
                 −9.215218873  
                 −21.20902158  
                 −9.283157312  
                 −7.984268054  
               
               
                 b TS   (2)    
                 0.006618898  
                 0.005353274  
                 0.006382979  
                 0.005704201  
               
               
                 c TS    
                 0.314423077  
                 0.303311258  
                 0.3  
                 0.311363636  
               
               
                 a TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (2)    
                 0  
                 90.39669198  
                 0  
                 0  
               
               
                 a TE   (1)    
                 0.170720276  
                 3.925569914  
                 −15.08313602  
                 −9.451928755  
               
               
                 b TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (2)    
                 0  
                 0.006615499  
                 0  
                 0  
               
               
                 c TE    
                 0.15  
                 0.147350993  
                 0.363475177  
                 0.346212121  
               
               
                 a ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (2)    
                 −0.00740803  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (1)    
                 −0.220502432  
                 0.083594751  
                 −0.104344279  
                 0.088096624  
               
               
                 b ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (2)    
                 135.4659763  
                 0  
                 0  
                 0  
               
               
                 c ψSi   
                 20.76923077  
                 43.70860927  
                 17.87234043  
                 41.47727273  
               
               
                 a θLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a θLT   (1)    
                 −0.017420386  
                 −0.012240534  
                 0  
                 0  
               
               
                 b θLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c θLT   
                 −50.28846154  
                 −50.26490066  
                 −90  
                 −90  
               
               
                 d TLTTS    
                 149.298265  
                 220.9283416  
                 135.5319056  
                 135.1493422  
               
               
                 d TLTTE    
                 0  
                 0  
                 0  
                 −65.38520659  
               
               
                 d TLTψSi   
                 0  
                 0  
                 0  
                 −0.663828772  
               
               
                 d TLTθLT   
                 −0.703824061  
                 −0.739197646  
                 0  
                 0  
               
               
                 d TSTE    
                 122.4270642  
                 0  
                 −94.62792088  
                 0  
               
               
                 d TSψSi   
                 0.714493384  
                 −1.189155195  
                 0  
                 −1.017237669  
               
               
                 d TSθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TEψSi   
                 0  
                 0.558597609  
                 0  
                 0  
               
               
                 d TEθLT   
                 0.734424122  
                 0.628956462  
                 0  
                 0  
               
               
                 d ψSiθLT   
                 −0.003900657  
                 0.003268439  
                 0  
                 0  
               
               
                 e  
                 −2.246432623  
                 −2.691572945  
                 −3.425676672  
                 −3.236112132  
               
               
                 a TP    
                 −111692  
                 −111692  
                 −111692  
                 −111692  
               
               
                 b TP    
                 19239  
                 19239  
                 19239  
                 19239  
               
               
                 c TP    
                 −952.97  
                 −952.97  
                 −952.97  
                 −952.97  
               
               
                 d TP    
                 8.8027  
                 8.8027  
                 8.8027  
                 8.8027  
               
               
                 f TP    
                 1.0495  
                 1.0495  
                 1.0495  
                 1.0495 
               
               
                   
               
            
           
         
       
     
     An acoustic wave device according to another preferred embodiment of the present invention includes a silicon support substrate, a silicon oxide film laminated above the silicon support substrate, a lithium tantalate film laminated above the silicon oxide film, an IDT electrode including an electrode finger and being provided above the lithium tantalate film, and a protection film covering at least a portion of the IDT electrode. When a wavelength determined by an electrode finger pitch of the IDT electrode is denoted by λ, a wavelength normalized film thickness of the lithium tantalate film is denoted by T LT , θ of an Euler angle of the lithium tantalate film is denoted by θ LT , a wavelength normalized film thickness of the silicon oxide film is denoted by T S , a wavelength normalized film thickness of the IDT electrode in terms of aluminum thickness being a product of a wavelength normalized film thickness of the IDT electrode and a value obtained when density of the IDT electrode is divided by density of aluminum is denoted by T E , a wavelength normalized film thickness of the protection film being a product of a value obtained when density of the protection film is divided by density of silicon oxide and a wavelength normalized film thickness which is a thickness of the protection film normalized by the wavelength λ is denoted by T P , a propagation direction in the silicon support substrate is denoted by ψ Si , and a wavelength normalized film thickness which is a thickness of the silicon support substrate normalized by the wavelength λ is denoted by T Si , T LT , θ LT , T S , T E , T P , and ψ Si  are set such that a value represented by Formula (1) below is larger than about −2.4: 
     
       
         
           
             
               
                 
                   
                     
                       ? 
                     
                     . 
                     
                         
                     
                      
                     
                       ? 
                     
                   
                    
                   
                     indicates text missing or illegible when filed 
                   
                 
               
               
                 
                   Formula 
                    
                   
                       
                   
                    
                   
                     ( 
                     1 
                     ) 
                   
                 
               
             
           
         
       
     
     Coefficients a, b, c, d, e, and f in Formula (1) are values described in Table 13 to Table 24 below that are determined in accordance with the crystal orientation of the silicon support substrate and the range of T S , T LT , and ψ Si : 
     
       
         
           
               
             
               
                 TABLE 13 
               
             
            
               
                   
               
               
                 Si(100)  
               
               
                 0 &lt; T LT  &lt; 0.2  
               
               
                 0 ≤ T S  &lt; 2.0  
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25  
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)    
                 0  
                 0  
               
               
                 a TLT   (1)    
                 −5.687707928  
                 −5.687707928  
               
               
                 b TLT   (2)    
                 0  
                 0  
               
               
                 c TLT    
                 0.139506173  
                 0.139506173  
               
               
                 a TS   (2)    
                 0  
                 0  
               
               
                 a TS   (1)    
                 5.653643283  
                 5.653643283  
               
               
                 b TS   (2)    
                 0  
                 0  
               
               
                 c TS    
                 0.148148148  
                 0.148148148  
               
               
                 a TE   (4)    
                 0  
                 0  
               
               
                 a TE   (3)    
                 0  
                 0  
               
               
                 a TE   (2)    
                 0  
                 0  
               
               
                 a TE   (1)    
                 −1.004369706  
                 −1.004369706  
               
               
                 b TE   (4)    
                 0  
                 0  
               
               
                 b TE   (3)    
                 0  
                 0  
               
               
                 b TE   (2)    
                 0  
                 0  
               
               
                 c TE    
                 0.255555556  
                 0.255555556  
               
               
                 a ψSi   (6)    
                 0  
                 0  
               
               
                 a ψSi   (5)    
                 0  
                 0  
               
               
                 a ψSi   (4)    
                 0  
                 0  
               
               
                 a ψSi   (3)    
                 −0.000197083  
                 −0.000197083  
               
               
                 a ψSi   (2)    
                 −0.003376583  
                 −0.003376583  
               
               
                 a ψSi   (1)    
                 0.118081927  
                 0.118081927  
               
               
                 b ψSi   (6)    
                 0  
                 0  
               
               
                 b ψSi   (5)    
                 0  
                 0  
               
               
                 b ψSi   (4)    
                 0  
                 0  
               
               
                 b ψSi   (3)    
                 −379.4708632  
                 −379.4708632  
               
               
                 b ψSi   (2)    
                 278.0521262  
                 278.0521262  
               
               
                 c ψSi   
                 23.14814815  
                 23.14814815  
               
               
                 a θLT   (2)    
                 0  
                 0  
               
               
                 a θLT   (1)    
                 0.128631041  
                 0.128631041  
               
               
                 b θLT   (2)    
                 0  
                 0  
               
               
                 c θLT   
                 −49.32098765  
                 −49.32098765  
               
               
                 d TLTTS    
                 0  
                 0  
               
               
                 d TLTTE    
                 72.43278274  
                 72.43278274  
               
               
                 d TLTψSi   
                 0.604747502  
                 0.604747502  
               
               
                 d TLTθLT   
                 −1.743618251  
                 −1.743618251  
               
               
                 d TSTE    
                 0  
                 0  
               
               
                 d TSψSi   
                 0  
                 0  
               
               
                 d TSθLT   
                 0.994157261  
                 0.994157261  
               
               
                 d TEψSi   
                 0  
                 0  
               
               
                 d TEθLT   
                 0.280889881  
                 0.280889881  
               
               
                 d ψSiθLT   
                 0.003095822  
                 0.003095822  
               
               
                 e  
                 −5.638096455  
                 −5.638096455  
               
               
                 a TP    
                 0  
                 0  
               
               
                 b TP    
                 0  
                 0  
               
               
                 c TP    
                 −15.448  
                 −15.448  
               
               
                 d TP    
                 −2.9188  
                 −2.9188  
               
               
                 f TP    
                 1.0599  
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 14 
               
             
            
               
                   
               
               
                 Si(100)  
               
               
                 0.2 ≤ T LT  ≤ 3.5  
               
               
                 0 ≤ T S  &lt; 2.0  
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25  
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)    
                 0  
                 0  
               
               
                 a TLT   (1)    
                 7.809960834  
                 4.249755245  
               
               
                 b TLT   (2)    
                 0  
                 0  
               
               
                 c TLT    
                 0.30962963  
                 0.302857143  
               
               
                 a TS   (2)    
                 0  
                 0  
               
               
                 a TS   (1)    
                 0  
                 −0.800874586  
               
               
                 b TS   (2)    
                 0  
                 0  
               
               
                 c TS    
                 0  
                 0.150714286  
               
               
                 a TE   (4)    
                 0  
                 0  
               
               
                 a TE   (3)    
                 0  
                 0  
               
               
                 a TE   (2)    
                 0  
                 0  
               
               
                 a TE   (1)    
                 −3.563479635  
                 9.07053135  
               
               
                 b TE   (4)    
                 0  
                 0  
               
               
                 b TE   (3)    
                 0  
                 0  
               
               
                 b TE   (2)    
                 0  
                 0  
               
               
                 c TE    
                 0.148518519  
                 0.353571429  
               
               
                 a ψSi   (6)    
                 0  
                 0  
               
               
                 a ψSi   (5)    
                 0  
                 0  
               
               
                 a ψSi   (4)    
                 0  
                 0  
               
               
                 a ψSi   (3)    
                 −0.000160979  
                 0  
               
               
                 a ψSi   (2)    
                 −0.000757552  
                 0.001332545  
               
               
                 a ψSi   (1)    
                 0.095765615  
                 0.003836714  
               
               
                 b ψSi   (6)    
                 0  
                 0  
               
               
                 b ψSi   (5)    
                 0  
                 0  
               
               
                 b ψSi   (4)    
                 0  
                 0  
               
               
                 b ψSi   (3)    
                 384.7407407  
                 0  
               
               
                 b ψSi   (2)    
                 278.2222222  
                 285.0956633  
               
               
                 c ψSi   
                 21.33333333  
                 20.89285714  
               
               
                 a θLT   (2)    
                 0  
                 0  
               
               
                 a θLT   (1)    
                 0.043185248  
                 0.033521037  
               
               
                 b θLT   (2)    
                 0  
                 0  
               
               
                 c θLT   
                 −50  
                 −50.92857143  
               
               
                 d TLTTS    
                 0  
                 0  
               
               
                 d TLTTE    
                 0  
                 0  
               
               
                 d TLTψSi   
                 −0.383208698  
                 −0.220029295  
               
               
                 d TLTθLT   
                 0  
                 0  
               
               
                 d TSTE    
                 0  
                 0  
               
               
                 d TSψSi   
                 0  
                 0  
               
               
                 d TSθLT   
                 0  
                 0.974573109  
               
               
                 d TEψSi   
                 0  
                 0  
               
               
                 d TEθLT   
                 1.01389349  
                 −1.078939399  
               
               
                 d ψSiθLT   
                 0  
                 0.002899732  
               
               
                 e  
                 −5.569590226  
                 −5.29442278  
               
               
                 a TP    
                 0  
                 0  
               
               
                 b TP    
                 0  
                 0  
               
               
                 c TP    
                 −15.448  
                 −15.448  
               
               
                 d TP    
                 −2.9188  
                 −2.9188  
               
               
                 f TP    
                 1.0599  
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 15 
               
             
            
               
                   
               
               
                 Si(100)  
               
               
                 0 &lt; T LT  &lt; 0.2  
               
               
                 0.2 ≤ T S  ≤ 2.0  
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25  
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)    
                 0  
                 0  
               
               
                 a TLT   (1)    
                 −11.51287  
                 −11.51287  
               
               
                 b TLT   (2)    
                 0  
                 0  
               
               
                 c TLT    
                 0.136328125  
                 0.136328125  
               
               
                 a TS   (2)    
                 0  
                 0  
               
               
                 a TS   (1)    
                 6.022608826  
                 6.022608826  
               
               
                 b TS   (2)    
                 0  
                 0  
               
               
                 c TS    
                 0.305859375  
                 0.305859375  
               
               
                 a TE   (4)    
                 0  
                 0  
               
               
                 a TE   (3)    
                 −180.607873  
                 −180.607873  
               
               
                 a TE   (2)    
                 −1.347493816  
                 −1.347493816  
               
               
                 a TE   (1)    
                 4.841204365  
                 4.841204365  
               
               
                 b TE   (4)    
                 0  
                 0  
               
               
                 b TE   (3)    
                 −0.000227051  
                 −0.000227051  
               
               
                 b TE   (2)    
                 0.019179688  
                 0.019179688  
               
               
                 c TE    
                 0.25625  
                 0.25625  
               
               
                 a ψSi   (6)    
                 0  
                 0  
               
               
                 a ψSi   (5)    
                 0  
                 0  
               
               
                 a ψSi   (4)    
                 0  
                 0  
               
               
                 a ψSi   (3)    
                 0  
                 0  
               
               
                 a ψSi   (2)    
                 −0.001342794  
                 −0.001342794  
               
               
                 a ψSi   (1)    
                 0.25625  
                 0.25625  
               
               
                 b ψSi   (6)    
                 0  
                 0  
               
               
                 b ψSi   (5)    
                 0  
                 0  
               
               
                 b ψSi   (4)    
                 0  
                 0  
               
               
                 b ψSi   (3)    
                 0  
                 0  
               
               
                 b ψSi   (2)    
                 275.7568359  
                 275.7568359  
               
               
                 c ψSi   
                 0.25625  
                 0.25625  
               
               
                 a θLT   (2)    
                 0  
                 0  
               
               
                 a θLT   (1)    
                 0.153688205  
                 0.153688205  
               
               
                 b θLT   (2)    
                 0  
                 0  
               
               
                 c θLT   
                 −49.140625  
                 −49.140625  
               
               
                 d TLTTS    
                 0  
                 0  
               
               
                 d TLTTE    
                 0  
                 0  
               
               
                 d TLTψSi   
                 0  
                 0  
               
               
                 d TLTθLT   
                 −1.180623763  
                 −1.180623763  
               
               
                 d TSTE    
                 0  
                 0  
               
               
                 d TSψSi   
                 0  
                 0  
               
               
                 d TSθLT   
                 0  
                 0  
               
               
                 d TEψSi   
                 0  
                 0  
               
               
                 d TEθLT   
                 0.41394071  
                 0.41394071  
               
               
                 d ψSiθLT   
                 0.003203013  
                 0.003203013  
               
               
                 e  
                 −4.433641408  
                 −4.433641408  
               
               
                 a TP    
                 0  
                 0  
               
               
                 b TP    
                 0  
                 0  
               
               
                 c TP    
                 −15.448  
                 −15.448  
               
               
                 d TP    
                 −2.9188  
                 −2.9188  
               
               
                 f TP    
                 1.0599  
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 16 
               
             
            
               
                   
               
               
                 Si(100)  
               
               
                 0.2 ≤ T LT  ≤ 3.5  
               
               
                 0.2 ≤ T S  ≤ 2.0  
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25  
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)    
                 119.666412  
                 118.2359738  
               
               
                 a TLT   (1)    
                 4.447768142  
                 2.271979446  
               
               
                 b TLT   (2)    
                 0.006371047  
                 0.00699901  
               
               
                 c TLT    
                 0.31147541  
                 0.30631068  
               
               
                 a TS   (2)    
                 0  
                 0  
               
               
                 a TS   (1)    
                 0  
                 −3.805216895  
               
               
                 b TS   (2)    
                 0  
                 0  
               
               
                 c TS    
                 0  
                 0.298543689  
               
               
                 a TE   (4)    
                 0  
                 0  
               
               
                 a TE   (3)    
                 0  
                 0  
               
               
                 a TE   (2)    
                 117.8354557  
                 121.7109482  
               
               
                 a TE   (1)    
                 2.107193686  
                 −0.578851453  
               
               
                 b TE   (4)    
                 0  
                 0  
               
               
                 b TE   (3)    
                 0  
                 0  
               
               
                 b TE   (2)    
                 0.006775956  
                 0.006610661  
               
               
                 c TE    
                 0.15  
                 0.35631068  
               
               
                 a ψSi   (6)    
                 0  
                 0  
               
               
                 a ψSi   (5)    
                 0  
                 0  
               
               
                 a ψSi   (4)    
                 0  
                 0  
               
               
                 a ψSi   (3)    
                 0  
                 0  
               
               
                 a ψSi   (2)    
                 −0.001658706  
                 0  
               
               
                 a ψSi   (1)    
                 0.005677734  
                 0.003834195  
               
               
                 b ψSi   (6)    
                 0  
                 0  
               
               
                 b ψSi   (5)    
                 0  
                 0  
               
               
                 b ψSi   (4)    
                 0  
                 0  
               
               
                 b ψSi   (3)    
                 0  
                 0  
               
               
                 b ψSi   (2)    
                 272.5477022  
                 0  
               
               
                 c ψSi   
                 20.90163934  
                 20.02427184  
               
               
                 a θLT   (2)    
                 0  
                 0  
               
               
                 a θLT   (1)    
                 0.051921544  
                 0.050011808  
               
               
                 b θLT   (2)    
                 0  
                 0  
               
               
                 c θLT   
                 −48.36065574  
                 −48.93203883  
               
               
                 d TLTTS    
                 0  
                 0  
               
               
                 d TLTTE    
                 61.26575286  
                 0  
               
               
                 d TLTψSi   
                 0  
                 0  
               
               
                 d TLTθLT   
                 0  
                 0  
               
               
                 d TSTE    
                 0  
                 −82.22932804  
               
               
                 d TSψSi   
                 0  
                 0  
               
               
                 d TSθLT   
                 0  
                 −0.470524678  
               
               
                 d TEψSi   
                 0  
                 0  
               
               
                 d TEθLT   
                 0.904198722  
                 −0.776132158  
               
               
                 d ψSiθLT   
                 0.003410501  
                 0.003906326  
               
               
                 e  
                 −5.339814906  
                 −5.463687811  
               
               
                 a TP    
                 0  
                 0  
               
               
                 b TP    
                 0  
                 0  
               
               
                 c TP    
                 −15.448  
                 −15.448  
               
               
                 d TP    
                 −2.9188  
                 −2.9188  
               
               
                 f TP    
                 1.0599  
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 17 
               
             
            
               
                   
               
               
                 Si(110)  
               
               
                 0 &lt; T LT  &lt; 0.2  
               
               
                 0 ≤ T S  &lt; 2.0  
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25  
                 0.25 ≤ T E  ≤ 0.45  
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45  
                 45 ≤ ψ Si  ≤ 90  
                 0 ≤ ψ Si  &lt; 45  
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TLT   (1)    
                 −7.587457615  
                 −7.587457615  
                 −7.587457615  
                 −7.587457615  
               
               
                 b TLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TLT    
                 0.174380165  
                 0.174380165  
                 0.174380165  
                 0.174380165  
               
               
                 a TS   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TS   (1)    
                 −3.979714537  
                 −3.979714537  
                 −3.979714537  
                 −3.979714537  
               
               
                 b TS   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TS    
                 0.150413223  
                 0.150413223  
                 0.150413223  
                 0.150413223  
               
               
                 a TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (1)    
                 −0.865040993  
                 −0.865040993  
                 −0.865040993  
                 −0.865040993  
               
               
                 b TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TE    
                 0.245867769  
                 0.245867769  
                 0.245867769  
                 0.245867769  
               
               
                 a ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (4)    
                 5.87537E−07  
                 5.87537E−07  
                 5.87537E−07  
                 5.87537E−07  
               
               
                 a ψSi   (3)    
                 −8.59015E−07  
                 −8.59015E−07  
                 −8.59015E−07  
                 −8.59015E−07  
               
               
                 a ψSi   (2)    
                 −0.001948222  
                 −0.001948222  
                 −0.001948222  
                 −0.001948222  
               
               
                 a ψSi   (1)    
                 −0.027558032  
                 −0.027558032  
                 −0.027558032  
                 −0.027558032  
               
               
                 b ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (4)    
                 1129197.497  
                 1129197.497  
                 1129197.497  
                 1129197.497  
               
               
                 b ψSi   (3)    
                 −1524.372996  
                 −1524.372996  
                 −1524.372996  
                 −1524.372996  
               
               
                 b ψSi   (2)    
                 776.3813947  
                 776.3813947  
                 776.3813947  
                 776.3813947  
               
               
                 c ψSi   
                 41.52892562  
                 41.52892562  
                 41.52892562  
                 41.52892562  
               
               
                 a θLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a θLT   (1)    
                 0.018744549  
                 0.018744549  
                 0.018744549  
                 0.018744549  
               
               
                 b θLT   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c θLT   
                 −49.25619835  
                 −49.25619835  
                 −49.25619835  
                 −49.25619835  
               
               
                 d TLTTS    
                 140.6234074  
                 140.6234074  
                 140.6234074  
                 140.6234074  
               
               
                 d TLTTE    
                 −25.20654793  
                 −25.20654793  
                 −25.20654793  
                 −25.20654793  
               
               
                 d TLTψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TLTθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSTE    
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TEψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TEθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d ψSiθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 e  
                 −1.789519626  
                 −1.789519626  
                 −1.789519626  
                 −1.789519626  
               
               
                 a TP    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TP    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TP    
                 −15.448  
                 −15.448  
                 −15.448  
                 −15.448  
               
               
                 d TP    
                 −2.9188  
                 −2.9188  
                 −2.9188  
                 −2.9188  
               
               
                 f TP    
                 1.0599  
                 1.0599  
                 1.0599  
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 18 
               
             
            
               
                   
               
               
                 Si(110)  
               
               
                 0.2 ≤ T LT  ≤ 3.5  
               
               
                 0 ≤ T S  &lt; 2.0  
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25  
                 0.25 ≤ T E  ≤ 0.45  
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45  
                 45 ≤ ψ Si  ≤ 90  
                 0 ≤ ψ Si  &lt; 45  
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)    
                 0  
                 0  
                 39.68139896  
                 39.68139896  
               
               
                 a TLT   (1)    
                 −3.912934705  
                 −3.912934705  
                 −3.801935963  
                 −3.801935963  
               
               
                 b TLT   (2)    
                 0  
                 0  
                 0.00692398  
                 0.00692398  
               
               
                 c TLT    
                 0.306451613  
                 0.306451613  
                 0.297857143  
                 0.297857143  
               
               
                 a TS   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TS   (1)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TS   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TS    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a TE   (1)    
                 1.912614784  
                 1.912614784  
                 −6.089810932  
                 −6.089810932  
               
               
                 b TE   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (3)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (2)    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TE    
                 0.148924731  
                 0.148924731  
                 0.347857143  
                 0.347857143  
               
               
                 a ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (3)    
                 0  
                 0  
                 8.78847E−06  
                 8.78847E−06  
               
               
                 a ψSi   (2)    
                 −0.0004718  
                 −0.0004718  
                 −0.000160567  
                 −0.000160567  
               
               
                 a ψSi   (1)    
                 0.003265633  
                 0.003265633  
                 −0.023574651  
                 −0.023574651  
               
               
                 b ψSi   (6)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (5)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (4)    
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (3)    
                 0  
                 0  
                 2351.597668  
                 2351.597668  
               
               
                 b ψSi   (2)    
                 847.4765869  
                 847.4765869  
                 880.2091837  
                 880.2091837  
               
               
                 c ψSi   
                 35.32258065  
                 35.32258065  
                 43.07142857  
                 43.07142857  
               
               
                 a θLT   (2)    
                 0.00501471  
                 0.00501471  
                 0  
                 0  
               
               
                 a θLT   (1)    
                 0.023115164  
                 0.023115164  
                 0.030121011  
                 0.030121011  
               
               
                 b θLT   (2)    
                 67.0626662  
                 67.0626662  
                 0  
                 0  
               
               
                 c θLT   
                 −49.62365591  
                 −49.62365591  
                 −51.28571429  
                 −51.28571429  
               
               
                 d TLTTS    
                 0  
                 0  
                 0  
                 0  
               
               
                 d TLTTE    
                 0  
                 0  
                 0  
                 0  
               
               
                 d TLTψSi   
                 0  
                 0  
                 0.125572529  
                 0.125572529  
               
               
                 d TLTθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSTE    
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TEψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TEθLT   
                 0.563162206  
                 0.563162206  
                 −0.417002414  
                 −0.417002414  
               
               
                 d ψSiθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 e  
                 −2.002512986  
                 −2.002512986  
                 −2.550158637  
                 −2.550158637  
               
               
                 a TP    
                 0  
                 0  
                 0  
                 0  
               
               
                 b TP    
                 0  
                 0  
                 0  
                 0  
               
               
                 c TP    
                 −15.448  
                 −15.448  
                 −15.448  
                 −15.448  
               
               
                 d TP    
                 −2.9188  
                 −2.9188  
                 −2.9188  
                 −2.9188  
               
               
                 f TP    
                 1.0599  
                 1.0599  
                 1.0599  
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 19 
               
             
            
               
                   
               
               
                   
                 Si(110) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90  
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 2.992014692 
                 2.992014692 
                 −1.461725087 
                 −1.461725087 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.156390977 
                 0.156390977 
                 0.155345912 
                 0.155345912 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 −9.089925228 
                 −9.089925228 
                 −1.247751383 
                 −1.247751383 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.305263158 
                 0.305263158 
                 0.327672956 
                 0.327672956 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
                 −130.6388144 
                 −130.6388144 
               
               
                 a TE   (1)   
                 5.773590917 
                 5.773590917 
                 −0.010504162 
                 −0.010504162 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0.006662711 
                 0.006662711 
               
               
                 c TE   
                 0.166541353 
                 0.166541353 
                 0.341823899 
                 0.341823899 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 1.03604E−05 
                 1.03604E−05 
               
               
                 a ψSi   (2)   
                 −0.000377109 
                 −0.000377109 
                 −0.000138558 
                 −0.000138558 
               
               
                 a ψSi   (1)   
                 −0.013702515 
                 −0.013702515 
                 −0.028102653 
                 −0.028102653 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 3096.349671 
                 3096.349671 
               
               
                 b ψSi   (2)   
                 792.2381141 
                 792.2381141 
                 957.6361695 
                 957.6361695 
               
               
                 c ψSi   
                 41.39097744 
                 41.39097744 
                 43.20754717 
                 43.20754717 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.015804666 
                 0.015804666 
                 0.028892246 
                 0.028892246 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −49.32330827 
                 −49.32330827 
                 −49.62264151 
                 −49.62264151 
               
               
                 d TLTTS   
                 0 
                 0 
                 −44.5976835 
                 −44.5976835 
               
               
                 d TLTTE   
                 80.90186655 
                 80.90186655 
                 −150.2428298 
                 −150.2428298 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0.225109644 
                 0.225109644 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 29.68261053 
                 29.68261053 
                 47.35851038 
                 47.35851038 
               
               
                 d TSψSi   
                 0.136750854 
                 0.136750854 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 −0.146211814 
                 −0.146211814 
                 0 
                 0 
               
               
                 d TEθLT   
                 0.41229257 
                 0.41229257 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 e 
                 −2.596813807 
                 −2.596813807 
                 −2.049341112 
                 −2.049341112 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
                 −15.448 
                 −15.448 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
                 −2.9188 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 20 
               
             
            
               
                   
               
               
                   
                 Si(110) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90  
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −2.80791074 
                 −2.80791074 
                 0 
                 0 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.3069869 
                 0.3069869 
                 0 
                 0 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 −5.618098986 
                 −5.618098986 
                 0 
                 0 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.286462882 
                 0.286462882 
                 0 
                 0 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
                 −73.23839461 
                 −73.23839461 
               
               
                 a TE   (1)   
                 8.962154821 
                 8.962154821 
                 −5.710295136 
                 −5.710295136 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0.007310763 
                 0.007310763 
               
               
                 c TE   
                 0.167467249 
                 0.167467249 
                 0.330930233 
                 0.330930233 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (1)   
                 0.003677309 
                 0.003677309 
                 0 
                 0 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c ψSi   
                 40.93886463 
                 40.93886463 
                 0 
                 0 
               
               
                 a θLT   (2)   
                 0.00527863 
                 0.00527863 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.008431458 
                 0.008431458 
                 0 
                 0 
               
               
                 b θLT   (2)   
                 66.00179249 
                 66.00179249 
                 0 
                 0 
               
               
                 c θLT   
                 −50.61135371 
                 −50.61135371 
                 0 
                 0 
               
               
                 d TLTTS   
                 63.6265441 
                 63.6265441 
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 57.20229582 
                 57.20229582 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 −0.098212695 
                 −0.098212695 
                 0 
                 0 
               
               
                 d TEθLT   
                 0.32576925 
                 0.32576925 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 e 
                 −2.431352404 
                 −2.431352404 
                 −2.39032093 
                 −2.39032093 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
                 −15.448 
                 −15.448 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
                 −2.9188 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 21 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0 ≤ T S  &lt; 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60  
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −26.67263869 
                 −6.49243933 
                 −20.6157421 
                 −21.06290014 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.15443038 
                 0.175438596 
                 0.160759494 
                 0.156896552 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 −7.971316395 
                 7.232224634 
                 −16.40433051 
                 −3.920556446 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.14556962 
                 0.133333333 
                 0.144303797 
                 0.144827586 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 −110.7824708 
                 −133.1826499 
                 0 
               
               
                 a TE   (1)   
                 12.77975858 
                 −10.04988717 
                 5.027045348 
                 −5.686378626 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0.006463527 
                 0.006582278 
                 0 
               
               
                 c TE   
                 0.151265823 
                 0.144736842 
                 0.35 
                 0.35862069 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0 
                 0 
                 −0.007219474 
                 0 
               
               
                 a ψSi   (1)   
                 0.028716852 
                 0.04192074 
                 −0.016815807 
                 0.008780601 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 0 
                 125.0280404 
                 0 
               
               
                 c ψSi   
                 9.683544304 
                 50 
                 11.58227648 
                 48.10344828 
               
               
                 a θLT   (2)   
                 0.01035547 
                 0 
                 0 
                 0.014789077 
               
               
                 a θLT   (1)   
                 0.162093889 
                 0.106646805 
                 0.164306798 
                 0.04587348 
               
               
                 b θLT   (2)   
                 61.8811088 
                 0 
                 0 
                 55.43995244 
               
               
                 c θLT   
                 −49.62025316 
                 −50.35087719 
                 −51.01265823 
                 −51.20689655 
               
               
                 d TLTTS   
                 −609.1883956 
                 −724.6623011 
                 −297.9828576 
                 −203.214973 
               
               
                 d TLTTE   
                 −215.420422 
                 0 
                 159.6303697 
                 0 
               
               
                 d TLTψSi   
                 0 
                 −3.771938969 
                 2.003207828 
                 −2.014745526 
               
               
                 d TLTθLT   
                 1.80686724 
                 0 
                 2.218853872 
                 0 
               
               
                 d TSTE   
                 0 
                 −307.4269587 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 −1.097992723 
                 0 
               
               
                 d TSθLT   
                 1.985202008 
                 0 
                 2.104127874 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 −1.451355926 
                 0 
               
               
                 d TEθLT   
                 −203.386471 
                 1.145649707 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 2.42647485 
                 0.004357557 
                 0 
                 0 
               
               
                 e 
                 −5.019952207 
                 −2.13826109 
                 −3.235663805  
                 −3.326865691 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
                 −15.448 
                 −15.448 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
                 −2.9188 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 22 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60  
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 45.51074293 
                 −94.44342524 
                 0 
               
               
                 a TLT   (1)   
                 0.788515154 
                 −3.454588617 
                 −9.832405019 
                 −3.13.2556866 
               
               
                 b TLT   (2)   
                 0 
                 0.006485261 
                 0.006459172 
                 0 
               
               
                 c TLT   
                 0.298058252 
                 0.295238095 
                 0.298461538 
                 0.298913043 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 −8.97795964 
                 1.31344944 
                 0 
                 0 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.142718447 
                 0.147619048 
                 0 
                 0 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (1)   
                 9.791468713 
                 0.170587985 
                 −0.71523762 
                 −10.72534988 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TE   
                 0.15776699 
                 0.124603175 
                 0.356153846 
                 0.347826087 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0.003924448 
                 0.001661439 
                 0 
                 0.00657999 
               
               
                 a ψSi   (1)   
                 0.15776699 
                 −0.024352541 
                 0.02404454 
                 −0.067389114 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 148.4588557 
                 132.0861678 
                 0 
                 152.6937618 
               
               
                 c ψSi   
                 15.29126214 
                 46.9047619 
                 14.19230769 
                 43.04347826 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.06700163 
                 0.042141715 
                 0.055240362 
                 0.061747926 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −48.73786408 
                 −50.15873016 
                 −49.73023077 
                 −49.45652174 
               
               
                 d TLTTS   
                 116.7290786 
                 −78.78450728 
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 85.46351406 
                 −49.85282875 
                 0 
               
               
                 d TLTψSi   
                 −0.70199108 
                 0.445481139 
                 0 
                 0.604657146 
               
               
                 d TLTθLT   
                 −0.726496636 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 −116.360096 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 −0.622709588 
                 0 
                 0 
               
               
                 d TSθLT   
                 2.041329502 
                 −0.339115637 
                 0 
                 0 
               
               
                 d TEψSi   
                   
                 0.20688896 
                 0 
                 0 
               
               
                 d TEθLT   
                 0.774150432 
                 0.439880407 
                 −0.6608739 
                 −1.068569294 
               
               
                 d ψSiθLT   
                 −0.005400114 
                 0.002667922 
                 −0.004937546 
                 0.006290209 
               
               
                 e 
                 −4.209434885 
                 −1.791078273 
                 −3.48174155 
                 −3.934527612 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
                 −15.448 
                 −15.448 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
                 −2.9288 
                 −2.9183 
               
               
                 f TP   
                 1.0599 
                 1.0599 
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 23 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60  
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −4.673850215 
                 0 
                 −8.8586067 
                 −1.957300157 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.141509434 
                 0 
                 0.153125 
                 0.16 
               
               
                 a TS   (2)   
                 82.42811022 
                 0 
                 87.42203531 
                 0 
               
               
                 a TS   (1)   
                 −7.905282467 
                 −4.948155925 
                 −0.569845134 
                 0.521030757 
               
               
                 b TS   (2)   
                 0.006949092 
                 0 
                 0.006037326 
                 0 
               
               
                 c TS   
                 0.294339623 
                 0.314583333 
                 0.297916667 
                 0.285 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 53.51232744 
                 −79.38404758 
                 0 
                 0 
               
               
                 a TE   (1)   
                 10.58973083 
                 10.26534018 
                 8.135327356 
                 −7.251553825 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.006016376 
                 0.005677083 
                 0 
                 0 
               
               
                 c TE   
                 0.183962264 
                 0.1375 
                 0.336458333 
                 0.37 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0 
                 0 
                 0 
                 0.001429494 
               
               
                 a ψSi   (1)   
                 0.010122468 
                 0.039388924 
                 −0.016592245 
                 −0.004853684 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 0 
                 0 
                 145.6875 
               
               
                 c ψSi   
                 11.88679245 
                 48.4375 
                 14.0625 
                 45.75 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 −0.005093912 
                 0.011098836 
                 0.047530531 
                 0.04750516 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −50  
                 −50.41666667 
                 −50.72916667 
                 −49.75 
               
               
                 d TLTTS   
                 0 
                 0 
                 91.19418307 
                 251.5375225 
               
               
                 d TLTTE   
                 0 
                 0 
                 −156.3654518 
                 0 
               
               
                 d TLTψSi   
                 0.322255595 
                 0 
                 0 
                 −0.289820964 
               
               
                 d TLTθLT   
                 −0.768436344 
                 0 
                 −0.735737765 
                 0 
               
               
                 d TSTE   
                 0 
                 75.51836907 
                 0 
                 0 
               
               
                 d TSψSi   
                 −0.512402643 
                 0.300543357 
                 −0.724013025 
                 0.245746891 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 −0.50556971 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0.002842264 
                 0 
                 0 
               
               
                 e 
                 −2.770026639 
                 −2.638591885 
                 −1.980941925 
                 −2.412296494 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
                 −15.448 
                 −15.448 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
                 −2.9188 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 24 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60  
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 4.449764983 
                 0 
                 −13.78321865  
                 −10.59163435 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.321052632 
                 0 
                 0.309146341 
                 0.303164557 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 0 
                 −3.433873203 
                 −1.746861763 
                 3.363230821 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0 
                 0.283443709 
                 0.237804878 
                 0.293037975 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
                 86.18383552 
                 0 
               
               
                 a TE   (1)   
                 3.853394073 
                 8.768511808 
                 −1.867550529 
                 −15.68616064 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0.007157942 
                 0 
               
               
                 c TE   
                 0.181578947 
                 0.135430464 
                 0.356097561 
                 0.363291139 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (1)   
                 0.014178515 
                 0.049910217 
                 −0.008697771 
                 0.012742666 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c ψSi   
                 12.63157895 
                 45.99337748  
                 15.09146341 
                 45  
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0 
                 0.061867934  
                 0.051566965 
                 0.028929641 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −90 
                 −50.59602549  
                 −50.30487805 
                 −50.56962025 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 −103.0440888 
               
               
                 d TLTTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTψSi   
                 −0.181721459 
                 0 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 −0.608943368 
               
               
                 d TSTE   
                 0 
                 113.1914288  
                 −75.04640382 
                 −82.04954672 
               
               
                 d TSψSi   
                 0 
                 0 
                 −0.554356722 
                 0.673316097 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 −0.512800103 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
                 −0.656702553 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 e 
                 −2.401219798 
                 −3.18651044 
                 −3.93030224 
                 −4.143483981 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 −15.448  
                 −15.448  
                 −15.448  
                 −15.448  
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
                 −2.9188 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
                 1.0599 
                 1.0599. 
               
               
                   
               
            
           
         
       
     
     An acoustic wave device according to another preferred embodiment of the present invention includes a silicon support substrate, a silicon oxide film laminated above the silicon support substrate, a lithium tantalate film laminated above the silicon oxide film, an IDT electrode including an electrode finger and being provided above the lithium tantalate film, and a protection film covering at least a portion of the IDT electrode. When a wavelength determined by an electrode finger pitch of the IDT electrode is denoted by λ, a wavelength normalized film thickness of the lithium tantalate film is denoted by T LT , θ of an Euler angle of the lithium tantalate film is denoted by θ LT , a wavelength normalized film thickness of the silicon oxide film is denoted by T S , a wavelength normalized film thickness of the IDT electrode in terms of aluminum thickness being a product of a wavelength normalized film thickness of the IDT electrode and a value obtained when density of the IDT electrode is divided by density of aluminum is denoted by T E , a wavelength normalized film thickness of the protection film being a product of a value obtained when density of the protection film is divided by density of silicon oxide and a wavelength normalized film thickness which is a thickness of the protection film normalized by the wavelength λ is denoted by T P , a propagation direction in the silicon support substrate is denoted by ψ Si , and a wavelength normalized film thickness which is a thickness of the silicon support substrate normalized by the wavelength λ is denoted by T Si , T LT , θ LT , T S , T E , T P , and ψ Si  are set such that a value represented by Formula (1) below is larger than about −2.4: 
     
       
         
           
             
               
                 
                   
                     
                       ? 
                     
                     . 
                     
                       
 
                     
                      
                     
                       ? 
                     
                   
                    
                   
                     indicates text missing or illegible when filed 
                   
                 
               
               
                 
                   Formula 
                    
                   
                       
                   
                    
                   
                     ( 
                     1 
                     ) 
                   
                 
               
             
           
         
       
     
     Coefficients a, b, c, d, e, and f in Formula (1) are values described in Table 25 to Table 36 below that are determined in accordance with the crystal orientation of the silicon support substrate and the range of T S , T LT , and ψ Si : 
     
       
         
           
               
               
             
               
                 TABLE 25 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −16.39135305 
                 −16.39135305 
               
               
                 b TLT   (2)   
                 0 
                 0 
               
               
                 c TLT   
                 0.196774194 
                 0.196774194 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 −4.824831305 
                 −4.824831305 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.170967742 
                 0.170967742 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
               
               
                 a TE   (2)   
                 −45.57608817 
                 −45.57608817 
               
               
                 a TE   (1)   
                 −10.80005563 
                 −10.80005563 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.018256046 
                 0.018256046 
               
               
                 c TE   
                 0.303225806 
                 0.303225806 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0.000172048 
                 0.000172048 
               
               
                 a ψSi   (2)   
                 −0.00384323 
                 −0.00384323 
               
               
                 a ψSi   (1)   
                 −0.009826773 
                 −0.009826773 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 143.0843203 
                 143.0843203 
               
               
                 b ψSi   (2)   
                 215.8688866 
                 215.8688866 
               
               
                 c ψSi   
                 22.25806452 
                 22.25806452 
               
               
                 a θLT   (2)   
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.066799879 
                 0.066799879 
               
               
                 b θLT   (2)   
                 0 
                 0 
               
               
                 c θLT   
                 −50.16129032 
                 −50.16129032 
               
               
                 d TLTTS   
                 0 
                 0 
               
               
                 d TLTTE   
                 −112.847682 
                 −112.847682 
               
               
                 d TLTψSi   
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
               
               
                 d TSψSi   
                 −1.750763196 
                 −1.750763196 
               
               
                 d TSθLT   
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
               
               
                 d TEθLT   
                 0.466692151 
                 0.466692151 
               
               
                 d ψSiθLT   
                 0 
                 0 
               
               
                 e 
                 −2.904746788 
                 −2.904746788 
               
               
                 a TP   
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 26 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −8.135537689 
                 −8.135537689 
               
               
                 b TLT   (2)   
                 0 
                 0 
               
               
                 c TLT   
                 0.311659193 
                 0.311659193 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 −20.38200282 
                 −20.38200282 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.149327354 
                 0.149327354 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
               
               
                 a TE   (1)   
                 −3.460675692 
                 −3.460675692 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
               
               
                 c TE   
                 0.267488789 
                 0.267488789 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 −0.003759233 
                 −0.003759233 
               
               
                 a ψSi   (1)   
                 0.015931998 
                 0.015931998 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 239.0395546 
                 239.0395546 
               
               
                 c ψSi   
                 18.90134529 
                 18.90134529 
               
               
                 a θLT   (2)   
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.017576249 
                 0.017576249 
               
               
                 b θLT   (2)   
                 0 
                 0 
               
               
                 c θLT   
                 −49.9103139 
                 −49.9103139 
               
               
                 d TLTTS   
                 −152.1817236 
                 −152.1817236 
               
               
                 d TLTTE   
                 0 
                 0 
               
               
                 d TLTψSi   
                 −0.359387178 
                 −0.359387178 
               
               
                 d TLTθLT   
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
               
               
                 d TSθLT   
                 0.911415415 
                 0.911415415 
               
               
                 d TEψSi   
                 0 
                 0 
               
               
                 d TEθLT   
                 0.275815872 
                 0.275815872 
               
               
                 d ψSiθLT   
                 0 
                 0 
               
               
                 e 
                 −3.952626593 
                 −3.952626593 
               
               
                 a TP   
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 27 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −26.36951471 
                 −26.36951471 
               
               
                 b TLT   (2)   
                 0 
                 0 
               
               
                 c TLT   
                 0.161538462  
                 0.161538462  
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 −10.09328536 
                 −10.09328536 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.321025641 
                 0.321025641 
               
               
                 a TE   (4)   
                 0  
                 0  
               
               
                 a TE   (3)   
                 0 
                 0 
               
               
                 a TE   (2)   
                 −21.38297597 
                 −21.38297597 
               
               
                 a TE   (1)   
                 −2.383237449  
                 −2.383237449  
               
               
                 b TE   (4)   
                 0  
                 0  
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.01947666 
                 0.01947666 
               
               
                 c TE   
                 0.270512821  
                 0.270512821  
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0.000176024 
                 0.000176024 
               
               
                 a ψSi   (2)   
                 −0.001397911 
                 −0.001397911 
               
               
                 a ψSi   (1)   
                 −0.107515297 
                 −0.107515297 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 −282.3623122  
                 −282.3623122  
               
               
                 b ψSi   (2)   
                 255.2071006  
                 255.2071006  
               
               
                 c ψSi   
                 23.84615385  
                 23.84615385  
               
               
                 a θLT   (2)   
                 0  
                 0  
               
               
                 a θLT   (1)   
                 0.085112984  
                 0.085112984  
               
               
                 b θLT   (2)   
                 0  
                 0  
               
               
                 c θLT   
                 −48.97435397  
                 −48.97435397  
               
               
                 d TLTTS   
                 0  
                 0  
               
               
                 d TLTTE   
                 0  
                 0  
               
               
                 d TLTψSi   
                 −0.816828716  
                 −0.816828716  
               
               
                 d TLTθLT   
                 0.865519967  
                 0.865519967  
               
               
                 d TSTE   
                 0  
                 0  
               
               
                 d TSψSi   
                 −0.538336559  
                 −0.538336559  
               
               
                 d TSθLT   
                 0  
                 0  
               
               
                 d TEψSi   
                 0  
                 0  
               
               
                 d TEθLT   
                 0  
                 0  
               
               
                 d ψSiθLT   
                 0.002971652  
                 0.002971652  
               
               
                 e 
                 −3.504362202  
                 −3.504362202  
               
               
                 a TP   
                 0  
                 0  
               
               
                 b TP   
                 0  
                 0  
               
               
                 c TP   
                 19.811  
                 19.811  
               
               
                 d TP   
                 −11.953  
                 −11.953  
               
               
                 f TP   
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 28 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −6.371850196 
                 −6.371850196 
               
               
                 b TLT   (2)   
                 0 
                 0 
               
               
                 c TLT   
                 0.292192192  
                 0.292192192  
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 −0.609606885 
                 −0.609606885 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.2996997  
                 0.2996997  
               
               
                 a TE   (4)   
                 0  
                 0  
               
               
                 a TE   (3)   
                 0  
                 0  
               
               
                 a TE   (2)   
                 0 
                 0 
               
               
                 a TE   (1)   
                 0  
                 0  
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
               
               
                 c TE   
                 0 
                 0 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0.000224133 
                 0.000224133 
               
               
                 a ψSi   (2)   
                 −0.004048532 
                 −0.004048532 
               
               
                 a ψSi   (1)   
                 −0.126847922 
                 −0.126847922 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 1375.85979 
                 1375.85979 
               
               
                 b ψSi   (2)   
                 281.2555799 
                 281.2555799 
               
               
                 c ψSi   
                 19.77477477 
                 19.77477477 
               
               
                 a θLT   (2)   
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.056146223 
                 0.056146223 
               
               
                 b θLT   (2)   
                 0 
                 0 
               
               
                 c θLT   
                 −49.48948949 
                 −49.48948949 
               
               
                 d TLTTS   
                 94.47145497 
                 94.47145497 
               
               
                 d TLTTE   
                 0 
                 0 
               
               
                 d TLTψSi   
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
               
               
                 d TSθLT   
                 −0.568942451  
                 −0.568942451  
               
               
                 d TEψSi   
                 0 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0.005654813 
                 0.005654813 
               
               
                 e 
                 −4.940340284 
                 −4.940340284 
               
               
                 a TP   
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 29 
               
             
            
               
                   
               
               
                   
                 Si(110) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90  
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −11.04825287 
                 −11.04825287 
                 −11.04825287 
                 −11.04825287 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.164705382 
                 0.164705382 
                 0.164705382 
                 0.164705382 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 −12.86806521 
                 −12.86806521 
                 −12.86806521 
                 −12.86806521 
               
               
                 a TE   (1)   
                 39.88235294 
                 39.88235294 
                 39.88235294 
                 39.88235294 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.019258131 
                 0.019258131 
                 0.019258131 
                 0.019258131 
               
               
                 c TE   
                 0.286470588 
                 0.286470588 
                 0.286470588 
                 0.286470588 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 −0.000762445 
                 −0.000762445 
                 −0.000762445 
                 −0.000762445 
               
               
                 a ψSi   (1)   
                 −0.031584918 
                 −0.031584918 
                 −0.031584918 
                 −0.031584918 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 749.7716263 
                 749.7716263 
                 749.7716263 
                 749.7716263 
               
               
                 c ψSi   
                 52.58823525 
                 52.58823525 
                 52.58823525 
                 52.58823525 
               
               
                 a θLT   (2)   
                 −0.004115091 
                 −0.004115091 
                 −0.004115091 
                 −0.004115091 
               
               
                 a θLT   (1)   
                 0.023260981 
                 0.023260981 
                 0.023260981 
                 0.023260981 
               
               
                 b θLT   (2)   
                 81.16262976 
                 81.16262976 
                 81.16262976 
                 81.16262976 
               
               
                 c θLT   
                 −50.11764706 
                 −50.11764706 
                 −50.11764706 
                 −50.11764706 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTTE   
                 −32.35244505 
                 −32.35244505 
                 −32.35244505 
                 −32.35244505 
               
               
                 d TLTψSi   
                 0.348515389 
                 0.348515389 
                 0.348515389 
                 0.348515389 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0.000823202 
                 0.000823202 
                 0.000823202 
                 0.000823202 
               
               
                 e 
                 −1.678155024 
                 −1.678155024 
                 −1.678155024 
                 −1.678155024 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 30 
               
             
            
               
                   
               
               
                   
                 Si(110) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90  
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 34.01092867 
                 34.01092867 
               
               
                 a TLT   (1)   
                 −3.294448859 
                 −3.294448859 
                 −2.996122319 
                 −2.996122319 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0.005572031 
                 0.005572031 
               
               
                 c TLT   
                 0.328378378  
                 0.328378378  
                 0.31344086  
                 0.31344086  
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 2.752851676 
                 2.752851676 
                 −1.564359965  
                 −1.564359965  
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.162837838 
                 0.162837838 
                 0.160752638 
                 0.160752638 
               
               
                 a TE   (4)   
                 0  
                 0  
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0  
                 0  
               
               
                 a TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (1)   
                 −4.548790211  
                 −4.548790211  
                 −1.370514553  
                 −1.370514553  
               
               
                 b TE   (4)   
                 0  
                 0  
                 0  
                 0  
               
               
                 b TE   (3)   
                 0  
                 0  
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TE   
                 0.165540541  
                 0.165540541  
                 0.355913978 
                 0.355913978 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 −7.03888E−08  
                 −7.03888E−08  
                 −3.78178E−08 
                 −3.78178E−08 
               
               
                 a ψSi   (4)   
                 1.4265E−06 
                 1.4265E−06 
                 9.79065E−07 
                 9.79065E−07 
               
               
                 a ψSi   (3)   
                 0.000180358 
                 0.000180358 
                 9.73597E−05 
                 9.73597E−05 
               
               
                 a ψSi   (2)   
                 −0.002681874 
                 −0.002681874 
                 −0.00192926 
                 −0.00192926 
               
               
                 a ψSi   (1)   
                 −0.092266284 
                 −0.092266284 
                 −0.04329175 
                 −0.04329175 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 11701030.08 
                 11701030.08 
                 24265475.25 
                 24265475.25 
               
               
                 b ψSi   (4)   
                 1435156.296 
                 1435156.296 
                 1705613.393 
                 1705613.393 
               
               
                 b ψSi   (3)   
                 1798.436569 
                 1798.436569 
                 6938.899332 
                 6938.899332 
               
               
                 b ψSi   (2)   
                 930.5183985 
                 930.5183985 
                 1060.880593 
                 1060.880593 
               
               
                 c ψSi   
                 40.23648649  
                 40.23648649  
                 40.08064516  
                 40.08064516  
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.046000242  
                 0.046000242  
                 0.001380272  
                 0.001380272  
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −49.52702703 
                 −49.52702703 
                 −50.05376344 
                 −50.05376344 
               
               
                 d TLTTS   
                 −136.9978702  
                 −136.9978702  
                 −73.06084164  
                 −73.06084164  
               
               
                 d TLTTE   
                 0  
                 0  
                 0 
                 0 
               
               
                 d TLTψSi   
                 0  
                 0  
                 0.096651605  
                 0.096651605  
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
                 −56.78924979 
                 −56.78924979 
               
               
                 d TSψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0.081014811  
                 0.081014811  
                 0 
                 0 
               
               
                 d TEθLT   
                 0  
                 0  
                 −0.194432704 
                 −0.194432704 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0.000875955 
                 0.000875955 
               
               
                 e 
                 −2.543790382  
                 −2.543790382  
                 −2.964933907  
                 −2.964933907  
               
               
                 a TP   
                 0 
                 0 
                 0  
                 0  
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.353 
                 −11.353 
               
               
                 f TP   
                 1.1978 
                 1.1978 
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 31 
               
             
            
               
                   
               
               
                   
                 Si(110) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  &lt; 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90  
                 0 ≤ ψ S i &lt; 45 
                 45 ≤ ψ S i ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −13.1565645  
                 −13.1565645  
                 −13.1565645  
                 −13.1565645  
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.179661017 
                 0.179661017 
                 0.179661017 
                 0.179661017 
               
               
                 a TS   (2)   
                 −54.97015257 
                 −54.97015257 
                 −54.97015257 
                 −54.97015257 
               
               
                 a TS   (1)   
                 1.195559996 
                 1.195559996 
                 1.195559996 
                 1.195559996 
               
               
                 b TS   (2)   
                 0.006496856 
                 0.006496856 
                 0.006496856 
                 0.006496856 
               
               
                 c TS   
                 0.299435028  
                 0.299435028  
                 0.299435028  
                 0.299435028  
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 −12.83875925 
                 −12.83875925 
                 −12.83875925 
                 −12.83875925 
               
               
                 a TE   (1)   
                 −2.591177902 
                 −2.591177902 
                 −2.591177902 
                 −2.591177902 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.02062115 
                 0.02062115 
                 0.02062115 
                 0.02062115 
               
               
                 c TE   
                 0.232768362 
                 0.232768362 
                 0.232768362 
                 0.232768362 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 −0.00094978 
                 −0.00094978 
                 −0.00094978 
                 −0.00094978 
               
               
                 a ψSi   (1)   
                 −0.016861509  
                 −0.016861509  
                 −0.016861509  
                 −0.016861509  
               
               
                 b ψSi   (6)   
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 −0.00094978 
                 −0.00094978 
                 −0.00094978 
                 −0.00094978 
               
               
                 c ψSi   
                 44.83050847  
                 44.83050847  
                 44.83050847  
                 44.83050847  
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.020120147  
                 0.020120147  
                 0.020120147  
                 0.020120147  
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −50.50847458  
                 −50.50847458  
                 −50.50847458  
                 −50.50847458  
               
               
                 d TLTTS   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TLTTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTψSi   
                 0.250474306  
                 0.250474306  
                 0.250474306  
                 0.250474306  
               
               
                 d TLTθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSTE   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0.034071552 
                 0.034071552 
                 0.034071552 
                 0.034071552 
               
               
                 d TEθLT   
                 0  
                 0  
                 0  
                 0  
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 e 
                 −1.687640015  
                 −1.687640015  
                 −1.687640015  
                 −1.687640015  
               
               
                 a TP   
                 0  
                 0  
                 0  
                 0  
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1970 
                 1.1970 
                 1.1970 
                 1.1970 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 32 
               
             
            
               
                   
               
               
                   
                 Si(110) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90  
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −8.387315737 
                 −8.387315737 
                 −11.34973266 
                 −6.017883428 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.313377926 
                 0.313377926 
                 0.291082803  
                 0.294578313  
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 0.140898252 
                 0.140898252  
                 3.107378473 
                 2.287606243 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.299331104 
                 0.299331104  
                 0.277707006  
                 0.296385542  
               
               
                 a TE   (4)   
                 0 
                 0  
                 0  
                 0 
               
               
                 a TE   (3)   
                 0 
                 0  
                 0  
                 0  
               
               
                 a TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (1)   
                 −1.209727849 
                 −1.209727849 
                 −4.259242642 
                 −1.280235687  
               
               
                 b TE   (4)   
                 0 
                 0  
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TE   
                 0.152006689 
                 0.152006689  
                 0.343630573  
                 0.351204819  
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0  
                 0  
               
               
                 a ψSi   (5)   
                 −2.33027E−08 
                 −2.33027E−08 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 7.78115E−07 
                 7.78115E−07 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 5.59108E−05 
                 5.59108E−05 
                 −0.000194818 
                 0 
               
               
                 a ψSi   (2)   
                 −0.002410767 
                 −0.002410767 
                 0.000247924 
                 0 
               
               
                 a ψSi   (1)   
                 −0.027662563 
                 −0.027662563 
                 0.12904143 
                 −0.026766472 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 2083705.649 
                 2083705.643 
                 0  
                 0  
               
               
                 b ψSi   (4)   
                 1386257.115 
                 1386257.115 
                 0  
                 0 
               
               
                 b ψSi   (3)   
                 −1267.413434 
                 −1267.413434 
                 1811.750092  
                 0 
               
               
                 b ψSi   (2)   
                 895.5856198 
                 895.5656198 
                 293.105197  
                 0 
               
               
                 c ψSi   
                 42.14046823 
                 42.14046823 
                 19.39490446  
                 67.95180723 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0  
                 0 
               
               
                 a θLT   (1)   
                 0.020067585  
                 0.020067585  
                 −0.011988832  
                 0.032566601  
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0  
                 0 
               
               
                 c θLT   
                 −49.73244147 
                 −49.73244147  
                 −49.61783439  
                 −50.96335542  
               
               
                 d TLTTS   
                 0 
                 0  
                 0  
                 0 
               
               
                 d TLTTE   
                 0 
                 0  
                 0  
                 41.29194486 
               
               
                 d TLTψSi   
                 0 
                 0 
                 −0.203585177  
                 0.376861254  
               
               
                 d TLTθLT   
                 0 
                 0  
                 −0.273779971  
                 0  
               
               
                 d TSTE   
                 0 
                 0 
                 0  
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 0  
                 −0.20937463  
               
               
                 d TSθLT   
                 −0.349110894 
                 −0.349110894  
                 0  
                 0  
               
               
                 d TEψSi   
                 0 
                 0 
                 0  
                 0 
               
               
                 d TEθLT   
                 −0.216865482 
                 −0.216865482  
                 0  
                 0  
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0.00120304  
                 0  
               
               
                 e 
                 −2.390757235 
                 −2.390757235 
                 −2.548464154  
                 −2.523994879 
               
               
                 a TP   
                 0 
                 0 
                 0  
                 0 
               
               
                 b TP   
                 0 
                 0  
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 33 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  &lt; 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 60 ≤ ψ Si  ≤ 60  
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −3.047618237  
                 −3.047618237  
                 −3.047618237  
                 −3.047618237  
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.160863565 
                 0.160863565 
                 0.160863565 
                 0.160863565 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 0  
                 0  
                 0  
                 0  
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 11.21750437 
                 11.21750437 
                 11.21750437 
                 11.21750437 
               
               
                 a TE   (2)   
                 −3.666215654 
                 −3.666215654 
                 −3.666215654 
                 −3.666215654 
               
               
                 a TE   (1)   
                 −0.035248162  
                 −0.035248162  
                 −0.035248162  
                 −0.035248162  
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0.000381688 
                 0.000381688 
                 0.000381688 
                 0.000381688 
               
               
                 b TE   (2)   
                 0.012599792 
                 0.012599792 
                 0.012599792 
                 0.012599792 
               
               
                 c TE   
                 0.245652174  
                 0.245652174  
                 0.245652174  
                 0.245652174  
               
               
                 a ψSi   (6)   
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (5)   
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (4)   
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (3)   
                 0  
                 0  
                 0  
                 0  
               
               
                 a ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (1)   
                 −0.003582211 
                 −0.003582211 
                 −0.003582211 
                 −0.003582211 
               
               
                 b ψSi   (6)   
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0  
                 0  
                 0  
                 0  
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c ψSi   
                 35.86956522 
                 35.86956522 
                 35.86956522 
                 35.86956522 
               
               
                 a θLT   (2)   
                 −0.000596775 
                 −0.000596775 
                 −0.000596775 
                 −0.000596775 
               
               
                 a θLT   (1)   
                 0.003385783 
                 0.003385783 
                 0.003385783 
                 0.003385783 
               
               
                 b θLT   (2)   
                 77.88279773 
                 77.88279773 
                 77.88279773 
                 77.88279773 
               
               
                 c θLT   
                 −47.82608696 
                 −47.82608696 
                 −47.82608696 
                 −47.82608696 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTTE   
                 −2.939323227  
                 −2.939323227  
                 −2.939323227  
                 −2.939323227  
               
               
                 d TLTψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSψSi   
                 0  
                 0  
                 0  
                 0  
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 −0.000442922 
                 −0.000442922 
                 −0.000442922 
                 −0.000442922 
               
               
                 e 
                 −0.277577227 
                 −0.277577227 
                 −0.277577227 
                 −0.277577227 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 198.11 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 34 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 6.03484153 
                 6.03484153 
                 6.03484153 
                 6.03484153 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.183333333 
                 0.183333333 
                 0.183333333 
                 0.383333333 
               
               
                 a TE   (4)   
                 −215.3850281 
                 −215.3850281 
                 −215.3850281 
                 −215.3850281 
               
               
                 a TE   (3)   
                 54.12265846 
                 54.12265846 
                 54.12265846 
                 54.12265846 
               
               
                 a TE   (2)   
                 0.942905209 
                 0.942905209 
                 0.942906209 
                 0.942905209 
               
               
                 a TE   (1)   
                 −1.08045121 
                 −1.08045121 
                 −1.08045121 
                 −1.08045121 
               
               
                 b TE   (4)   
                 0.000339332 
                 0.000339332 
                 0.000339332 
                 0.000339332 
               
               
                 b TE   (3)   
                 0.000317558 
                 0.000317558 
                 0.000317558 
                 0.000317558 
               
               
                 b TE   (2)   
                 0.011265432 
                 0.011265432 
                 0.011255432 
                 0.011265432 
               
               
                 c TE   
                 0.211111111 
                 0.211111111 
                 0.211111111 
                 0.211311111 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (1)   
                 −0.004525908 
                 −0.004526908 
                 −0.004526908 
                 −0.004526908 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c ψSi   
                 27.5 
                 27.5 
                 27.5 
                 27.5 
               
               
                 a θLT   (2)   
                 −0.00046365 
                 −0.00046365 
                 −0.00046365 
                 −0.00045365 
               
               
                 a θLT   (1)   
                 0.005349146 
                 0.005349146 
                 0.005349146 
                 0.005349146 
               
               
                 b θLT   (2)   
                 57.09876543 
                 57.09876543 
                 57.09876543 
                 57.09876543 
               
               
                 c θLT   
                 −46.11111111 
                 −46.11111111 
                 −46.11111111 
                 −46.11111111 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 45.80413521 
                 45.80413521 
                 45.80413521 
                 45.80413521 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEθLT   
                 −0.071786246 
                 −0.071786246 
                 −0.071786246 
                 −0.071786246 
               
               
                 d ψSiθLT   
                 −0.000425881 
                 −0.000425881 
                 −0.000425881 
                 −0.000425881 
               
               
                 e 
                 −0.446604617 
                 −0.446604617 
                 −0.446604617 
                 −0.446604617 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 35 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −2.477108842 
                 −2.477108842 
                 −2.477108842 
                 −2.477108842 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.137349398 
                 0.137349398 
                 0.137349398 
                 0.137349398 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 −0.488747927 
                 −0.488747927 
                 −0.488747927 
                 −0.488747027 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.336144578 
                 0.336144578 
                 0.336144578 
                 0.336144578 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 −1.973253274 
                 −1.973253274 
                 −1.973253274 
                 −1.973253274 
               
               
                 a TE   (1)   
                 −0.124870592 
                 −0.124870592 
                 −0.124870592 
                 −0.124870592 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.017915517 
                 0.017915517 
                 0.017915517 
                 0.017915517 
               
               
                 c TE   
                 0.256024096 
                 0.256024096 
                 0.256024096 
                 0.256024096 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                  7.6083E−07 
                  7.6083E−07 
                  7.6083E−07 
                  7.6083E−07 
               
               
                 a ψSi   (3)   
                 7.21121E−06 
                 7.21121E−06 
                 7.21121E−06 
                 7.21121E−06 
               
               
                 a ψSi   (2)   
                 −0.000857107 
                 −0.000857107 
                 −0.000857107 
                 −0.000857107 
               
               
                 a ψSi   (1)   
                 −0.00490823 
                 −0.00490823 
                 −0.00490823 
                 −0.00490823 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 105622.9088 
                 105622.9088 
                 105622.9088 
                 105622.9088 
               
               
                 b ψSi   (3)   
                 −217.2019476 
                 −217.2019476 
                 −217.2019476 
                 −217.2019476 
               
               
                 b ψSi   (2)   
                 208.4409929 
                 208.4409929 
                 208.4409929 
                 208.4409929 
               
               
                 c ψSi   
                 30.54216867 
                 30.54216857 
                 30.54216867 
                 30.54216857 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −90 
                 −90 
                 −90 
                 −90 
               
               
                 d TLTTS   
                 4.821777356 
                 4.821777856 
                 4.821777856 
                 4.821777856 
               
               
                 d TLTTE   
                 −4.14067246 
                 −4.14067246 
                 −4.14067246 
                 −4.14057246 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0.024454063 
                 0.024454063 
                 0.024454063 
                 0.024454063 
               
               
                 d TEθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 e 
                 −0.240178915 
                 −0.240178915 
                 −0.240178015 
                 −0.240178915 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.853 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 36 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 0.380779889 
                 0.380779889 
                 0.380779889 
                 0.380779889 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.285294118 
                 0.285294118 
                 0.285294118 
                 0.285294118 
               
               
                 a TE   (4)   
                 −165.3225345 
                 −165.3225345 
                 −165.3225345 
                 −165.3225345 
               
               
                 a TE   (3)   
                 23.65923214 
                 23.65923214 
                 23.65923214 
                 23.65923214 
               
               
                 a TE   (2)   
                 2.256295059 
                 2.256295059 
                 2.256295059 
                 2.256295059 
               
               
                 a TE   (1)   
                 −0.292409126 
                 −0.292409126 
                 −0.292409126 
                 −0.292409126 
               
               
                 b TE   (4)   
                 0.00051583 
                 0.00051583 
                 0.00051583 
                 0.00051583 
               
               
                 b TE   (3)   
                 0.00070344 
                 0.00070344 
                 0.00070344 
                 0.00070344 
               
               
                 b TE   (2)   
                 0.015017301 
                 0.015017301 
                 0.015017301 
                 0.015017301 
               
               
                 c TE   
                 0.220588235 
                 0.220585235 
                 0.220588235 
                 0.220588235 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (1)   
                 −0.004846255 
                 −0.004846255 
                 −0.004846255 
                 −0.004846255 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c ψSi   
                 29.55882353 
                 29.55882353 
                 29.55882353 
                 29.55882353 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.00165846 
                 0.00165846 
                 0.00165846 
                 0.00165846 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −48.52941176 
                 −48.52941176 
                 −48.52941176 
                 −48.52941176 
               
               
                 d TLTTS   
                 −0.04933649 
                 −0.04933649 
                 −0.04933649 
                 −0.04933649 
               
               
                 d TLTTE   
                 −0.021023839 
                 −0.021023839 
                 −0.021023839 
                 −0.021023839 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 −7.074776252 
                 −7.074776252 
                 −7.074776252 
                 −7.074776252 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 −0.00049898 
                 −0.00049898 
                 −0.00049898 
                 −0.00049898 
               
               
                 e 
                 −0.3405495 
                 −0.3405485 
                 −0.3405485 
                 −0.3405485 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     An acoustic wave filter according to a preferred embodiment of the present invention includes a plurality of resonators, and at least one of the plurality of resonators is defined by an acoustic wave device according to a preferred embodiment of the present invention. 
     A composite filter device according to a preferred embodiment of the present invention includes N band pass filters having different pass bands where N is two or more, and one terminal of each of the N band pass filters is connected in common on an antenna terminal side. At least one of the N band pass filters excluding a band pass filter having a highest pass band includes one or more acoustic wave resonators. At least one of the one or more acoustic wave resonators is defined by an acoustic wave device according to a preferred embodiment of the present invention. 
     According to preferred embodiments of the present invention, it is possible to provide acoustic wave devices that are each less likely to generate a ripple in another acoustic wave filter that is connected in common, and to provide acoustic wave filters and composite filter devices that each include an acoustic wave device according to a preferred embodiment of the present invention. 
     The above and other elements, features, steps, characteristics and advantages of the present invention will become more apparent from the following detailed description of the preferred embodiments with reference to the attached drawings. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIGS. 1A and 1B  are a schematic front sectional view of an acoustic wave device according to a first preferred embodiment of the present invention, and a schematic plan view of the acoustic wave device according to the first preferred embodiment of the present invention illustrating an electrode structure thereof. 
         FIG. 2  is a graph showing the admittance characteristic of an acoustic wave resonator. 
         FIG. 3  is a graph showing the relationship between a propagation direction ψ Si  in a single crystal Si layer and an intensity S 11  of a response of a spurious response A. 
         FIG. 4  is a graph showing the relationship between a wavelength normalized film thickness T LT  of a lithium tantalate film and the intensity S 11  of a response of the spurious response A. 
         FIG. 5  is a graph showing the relationship between a cut angle (90°−θ LT ) of the lithium tantalate film and the intensity S 11  of a response of the spurious response A. 
         FIG. 6  is a graph showing the relationship between a wavelength normalized film thickness T S  of a SiO 2  film and the intensity S 11  of a response of the spurious response A. 
         FIG. 7  is a graph showing the relationship between a wavelength normalized film thickness T E  of an IDT electrode and the intensity S 11  of a response of the spurious response A. 
         FIG. 8  is a graph showing the relationship between a wavelength normalized film thickness T P  of a protection film being a silicon oxide film and the intensity S 11  of a response of the spurious response A. 
         FIG. 9  is a circuit diagram of a composite filter device including the acoustic wave device of the first preferred embodiment of the present invention. 
         FIG. 10  is a circuit diagram illustrating an acoustic wave filter including the acoustic wave device of the first preferred embodiment of the present invention and being used in the composite filter device. 
         FIG. 11A  is a graph showing the filter characteristic of a composite filter device including an acoustic wave device of a comparative example, and  FIG. 11B  is a graph showing the filter characteristic of the composite filter device as the preferred embodiment of the present invention. 
         FIG. 12  is a graph showing the relationship between a wavelength normalized film thickness of the single crystal Si layer and responses of the spurious responses A, B, and C. 
         FIG. 13  is a graph showing the relationship between the propagation direction ψ Si  in the single crystal Si layer and the intensity S 11  of a response of the spurious response B. 
         FIG. 14  is a graph showing the relationship between the wavelength normalized film thickness T LT  of the lithium tantalate film and the intensity S 11  of a response of the spurious response B. 
         FIG. 15  is a graph showing the relationship between the cut angle (90°−θ LT ) of the lithium tantalate film and the intensity S 11  of a response of the spurious response B. 
         FIG. 16  is a graph showing the relationship between the wavelength normalized film thickness T S  of the SiO 2  film and the intensity S 11  of a response of the spurious response B. 
         FIG. 17  is a graph showing the relationship between the wavelength normalized film thickness T E  of the IDT electrode and the intensity S 11  of a response of the spurious response B. 
         FIG. 18  is a graph showing the relationship between the wavelength normalized film thickness T P  of the protection film being the silicon oxide film and the intensity S 11  of a response of the spurious response B. 
         FIG. 19  is a graph showing the relationship between the propagation direction ψ Si  in the single crystal Si layer and the intensity S 11  of a response of the spurious response C. 
         FIG. 20  is a graph showing the relationship between the wavelength normalized film thickness T LT  of the lithium tantalate film and the intensity S 11  of a response of the spurious response C. 
         FIG. 21  is a graph showing the relationship between the cut angle (90°−θ LT ) of the lithium tantalate film and the intensity S 11  of a response of the spurious response C. 
         FIG. 22  is a graph showing the relationship between the wavelength normalized film thickness T S  of the SiO 2  film and the intensity S 11  of a response of the spurious response C. 
         FIG. 23  is a graph showing the relationship between the wavelength normalized film thickness T E  of the IDT electrode and the intensity S 11  of a response of the spurious response C. 
         FIG. 24  is a graph showing the relationship between the wavelength normalized film thickness T P  of the protection film being the silicon oxide film and the intensity S 11  of a response of the spurious response C. 
         FIG. 25  is a graph showing the relationship between a film thickness of a LiTaO 3  film and a Q characteristic in the acoustic wave device. 
         FIG. 26  is a graph showing the relationship between the film thickness of the LiTaO 3  film and a temperature coefficient of frequency TCF in the acoustic wave device. 
         FIG. 27  is a graph showing the relationship between the film thickness of the LiTaO 3  film and an acoustic velocity in the acoustic wave device. 
         FIG. 28  is a graph showing the relationship between the LiTaO 3  film thickness and a fractional bandwidth. 
         FIG. 29  is a graph showing the relationship among the film thickness of the SiO 2  film, material of a high acoustic velocity film, and the acoustic velocity. 
         FIG. 30  is a graph showing the relationship among the film thickness of the SiO 2  film, an electromechanical coupling coefficient, and material of the high acoustic velocity film. 
         FIG. 31  is a partially enlarged front sectional view for describing a modification of an acoustic wave device according to a preferred embodiment of the present invention which thickness of the protection film is partially different. 
         FIG. 32  is a partially enlarged front sectional view for describing another modification of an acoustic wave device according to a preferred embodiment of the present invention in which thickness of the protection film is partially different. 
         FIG. 33  is a partially enlarged front sectional view for describing another modification of an acoustic wave device according to a preferred embodiment of the present invention in which thickness of the protection film is partially different. 
         FIG. 34  is a front sectional view illustrating a modification of the acoustic wave resonator used in an acoustic wave device according to a preferred embodiment of the present invention. 
         FIG. 35  is a front sectional view illustrating another modification of the acoustic wave resonator used in an acoustic wave device according to a preferred embodiment of the present invention. 
         FIG. 36  is a partially enlarged front sectional view for describing a modification of an acoustic wave device according to a preferred embodiment of the present invention in which the protection film is a laminated film. 
         FIG. 37  is a schematic diagram for describing crystal orientation Si (100). 
         FIG. 38  is a schematic diagram for describing crystal orientation Si (110). 
         FIG. 39  is a schematic diagram for describing crystal orientation Si (111). 
         FIG. 40  is a schematic configuration diagram of a communication apparatus including a high frequency front end circuit according to a preferred embodiment of the present invention. 
     
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     Hereinafter, the present invention will be clarified by the description of preferred embodiments of the present invention with reference to drawings. 
     It should be noted that the preferred embodiments described in this description are merely exemplary, and that a partial replacement or a combination of configurations is possible between the different preferred embodiments. 
       FIG. 1A  is a schematic front sectional view of an acoustic wave device according to a first preferred embodiment of the present invention and  FIG. 1B  is a schematic plan view of an electrode structure thereof. 
     An acoustic wave device  1  is a one-port acoustic wave resonator. The acoustic wave device  1  includes a single crystal Si layer  2  defining and functioning as a support substrate. A SiO 2  film  3  as a silicon oxide film and a lithium tantalate film (LiTaO 3  film)  4  are laminated above the single crystal Si layer  2 . The lithium tantalate film  4  includes a first main surface  4   a  and a second main surface  4   b  opposite to each other. An IDT electrode  5  is provided above the first main surface  4   a . Reflectors  6  and  7  are provided on both sides of the IDT electrode  5  in an acoustic wave propagation direction. The SiO 2  film  3  as the silicon oxide film may include not only SiO 2 , but also silicon oxide, for example, in which SiO 2  is doped with fluorine or the like. The silicon oxide film may be, for example, a multilayer structure including a plurality of layers made of silicon oxide. An intermediate layer made of, for example, titanium, nickel, or the like may be included between the plurality of layers. The thickness of the silicon oxide film in this case means the thickness of the entire multilayer structure. 
     A protection film  8  covers the IDT electrode  5  and the reflectors  6  and  7 . The protection film  8  is preferably, for example, a silicon oxide film in the present preferred embodiment. However, the protection film  8  may be a film made of various dielectrics such as, for example, silicon oxynitride, silicon nitride, or the like. In addition, in the present preferred embodiment, the protection film  8  covers not only the upper side of an electrode finger of the IDT electrode  5 , but also the upper surface of the lithium tantalate film  4  and the side surfaces of the electrode finger. However, the configuration of the protection film  8  is not limited thereto. 
     The inventors of preferred embodiments of the present application have discovered that responses are generated by spurious responses A, B, and C described below in the acoustic wave resonator in which a lithium tantalate film is laminated directly on or indirectly above the single crystal Si layer  2 . 
       FIG. 2  is a graph showing the admittance characteristic of the acoustic wave resonator for describing the spurious responses A, B, and C. The admittance characteristic described in  FIG. 2  is the admittance characteristic of the acoustic wave resonator with the following design parameters, and not of a preferred embodiment of the present invention. 
     Euler angles (T Si , θ Si , ψ Si ) of the single crystal Si layer are (0°, 0°, 45°). The film thickness of the SiO 2  film is about 0.30λ, the film thickness of the lithium tantalate film is about 0.30λ, and the Euler angles (T LT , θ LT , ψ LT ) of the lithium tantalate film are (0°, −40°, 0°). The wavelength λ determined by the electrode finger pitch of the IDT electrode is about 1 μm. The IDT electrode includes laminated metal films in which an Al film and a Ti film are laminated, and has a thickness of about 0.05λ in terms of aluminum. 
     As shown in  FIG. 2 , the spurious responses A, B, and C appear on a higher frequency side relative to a main mode response in the acoustic wave resonator described above. The high and low order of frequencies of the spurious responses A, B, and C satisfies the relationship, spurious response A&lt;spurious response B&lt;spurious response C. The spurious response A is closest to the main mode. 
     In the acoustic wave device  1  of the present preferred embodiment, at least one of the responses of the spurious response A, the response of the spurious response B, and the response of the spurious response C is reduced or prevented. 
     The wavelength determined by the electrode finger pitch of the IDT electrode  5  is denoted by λ. The wavelength normalized film thickness of the lithium tantalate film  4  is denoted by T LT , the Euler angle θ of the lithium tantalate film is denoted by θ LT , the wavelength normalized film thickness of the SiO 2  film  3  is denoted by T S , the wavelength normalized film thickness of the IDT electrode  5  in terms of aluminum thickness is denoted by T E . The wavelength normalized film thickness of the protection film  8  is denoted by T P , where T P  is the product of a value obtained when density of the protection film  8  is divided by density of silicon oxide and the wavelength normalized film thickness of the protection film  8  normalized by the wavelength λ. The propagation direction in the single crystal Si layer  2  is denoted by ψ Si , and the wavelength normalized film thickness of the single crystal Si layer  2  is denoted by T Si . T LT , θ LT , T S , T E , T P , and ψ Si  are set such that the value I h  represented by Formula (1) below for at least one of the spurious responses A, B, and C is greater than about −2.4 and the inequality T Si &gt;about 20 is satisfied at the same time. Thus, at least one of the responses of the spurious responses A, B and C is effectively reduced or prevented. This will be described in detail below. 
     Note that, in the present description, the wavelength normalized film thickness is the value obtained when a film thickness is normalized by the wavelength λ determined by the electrode finger pitch of the IDT electrode. That is, the wavelength normalized film thickness is the value obtained when an actual thickness is divided by λ. The wavelength λ determined by the electrode finger pitch of the IDT electrode may be determined by an average value of the electrode finger pitches. 
     The density of the IDT electrode  5  is the value obtained from the density of the metal material constituting the IDT electrode  5 , rather than a measured value. The density of aluminum is about 2698.9 kg/m 3 . This value is described in page 26 of “Handbook of Chemistry: Pure Chemistry II, 4th edition, The Chemical Society of Japan, published by Maruzen Publishing Co., Ltd. (1993)”. 
     Here, the density of the protection film  8  is the value obtained based on the density of the material of the protection film  8 , rather than a measured value. The density of silicon oxide is about 2200 kg/m 3 . This value is described in page 922 of “Handbook of Chemistry: Applied Chemistry II, Materials, 4th edition, The Chemical Society of Japan, published by Maruzen Publishing Co., Ltd. (1993)”. 
     Note that, in the present description, the thickness of the protection film  8  refers to a thickness of the protection film in a portion positioned on the upper side of the electrode finger of the IDT electrode. 
     
       
         
           
             
               
                 
                   
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                    
                   
                     
 
                   
                    
                   
                     
                       ? 
                     
                      
                     
                       indicates text missing or illegible when filed 
                     
                   
                 
               
               
                 
                   Formula 
                    
                   
                       
                   
                    
                   
                     ( 
                     1 
                     ) 
                   
                 
               
             
           
         
       
     
     The coefficients a, b, c, d, e, and f in Formula (1) are values in Table 37 to Table 72 below. The values are specified in accordance with the type of spurious responses, the orientation (100), (110), or (111) of the single crystal Si layer  2 , and the range of the wavelength normalized film thicknesses of the SiO 2  film  3  and the lithium tantalate film  4 , and the like. 
     
       
         
           
               
               
             
               
                 TABLE 37 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
               
               
                 a TLT   (1)   
                 0 
                 0 
               
               
                 b TLT   (2)   
                 0 
                 0 
               
               
                 c TLT   
                 0 
                 0 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 −5.857231176 
                 −5.857231176 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.148 
                 0.148 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
               
               
                 a TE   (2)   
                 −19.75255913 
                 −19.75255913 
               
               
                 a TE   (1)   
                 −2.877583447 
                 −2.877583447 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.022736 
                 0.022736 
               
               
                 c TE   
                 0.242 
                 0.242 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0.004788767 
                 0.004788767 
               
               
                 a ψSi   (1)   
                 0.024306207 
                 0.024306207 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 81.81 
                 81.81 
               
               
                 c ψSi   
                 8.7 
                 8.7 
               
               
                 a θLT   (2)   
                 −0.008235936 
                 −0.008235936 
               
               
                 a θLT   (1)   
                 −0.021048278 
                 −0.021048278 
               
               
                 b θLT   (2)   
                 65.16 
                 65.16 
               
               
                 c θLT   
                 −52.2 
                 −52.2 
               
               
                 d TLTTS   
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
               
               
                 d TLTψSi   
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
               
               
                 d TSθLT   
                 −0.786852571 
                 −0.786852571 
               
               
                 d TEψSi   
                 0 
                 0 
               
               
                 d TEθLT   
                 −0.237034335 
                 −0.237034335 
               
               
                 d ψSiθLT   
                 0 
                 0 
               
               
                 e 
                 −1.499248378 
                 −1.499248378 
               
               
                 a TP   
                 −111692 
                 −111692 
               
               
                 b TP   
                 19239 
                 19239 
               
               
                 c TP   
                 −952.97 
                 −952.97 
               
               
                 d TP   
                 8.8027 
                 8.8027 
               
               
                 f TP   
                 1.0495 
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 38 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 125.5342427 
               
               
                 a TLT   (1)   
                 −13.43961051 
                 −7.643409732 
               
               
                 b TLT   (2)   
                 0 
                 0.006076568 
               
               
                 c TLT   
                 0.329807692 
                 0.321186441 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 −11.80744788 
                 −10.05306878 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.158653846 
                 0.163389831 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
               
               
                 a TE   (1)   
                 0 
                 −7.595099843 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
               
               
                 c TE   
                 0 
                 0.366101695 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0.003335792 
                 0 
               
               
                 a ψSi   (1)   
                 0.039268266 
                 −0.013700762 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 191.71597630 
                 0 
               
               
                 c ψSi   
                 13.26923077 
                 16.01694915 
               
               
                 a θLT   (2)   
                 −0.007476194 
                 0 
               
               
                 a θLT   (1)   
                 −0.010867175 
                 −0.053997369 
               
               
                 b θLT   (2)   
                 69.19378698 
                 0 
               
               
                 c θLT   
                 −50.19230769 
                 −50.59322034 
               
               
                 d TLTTS   
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
               
               
                 d TLTψSi   
                 −0.629167148 
                 −0.724576033 
               
               
                 d TLTθLT   
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0.521919406 
               
               
                 d TSθLT   
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 −0.523966449 
               
               
                 d TEθLT   
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
               
               
                 e 
                 −2.071831837 
                 −3.228508418 
               
               
                 a TP   
                 −111692 
                 −111692 
               
               
                 b TP   
                 19239 
                 19239 
               
               
                 c TP   
                 −952.97 
                 −952.97 
               
               
                 d TP   
                 8.8027 
                 8.8027 
               
               
                 f TP   
                 1.0495 
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 39 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −15.6141248 
                 −15.6141248 
               
               
                 b TLT   (2)   
                 0 
                 0 
               
               
                 c TLT   
                 0.163309353 
                 0.163309353 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 −22.02440893 
                 −22.02440893 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.325179856 
                 0.325179856 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 −248.4374004 
                 −248.4374004 
               
               
                 a TE   (2)   
                 −36.57127964 
                 −36.57127964 
               
               
                 a TE   (1)   
                 13.88180854 
                 13.88180854 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0.000480119 
                 0.000480119 
               
               
                 b TE   (2)   
                 0.020416128 
                 0.020416128 
               
               
                 c TE   
                 0.240647482 
                 0.240647482 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0.002456326 
                 0.002456328 
               
               
                 a ψSi   (1)   
                 0.048553126 
                 0.048553126 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 279.6050929 
                 279.6050929 
               
               
                 c ψSi   
                 22.3381295 
                 22.3381295 
               
               
                 a θLT   (2)   
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.005427275 
                 0.005427275 
               
               
                 b θLT   (2)   
                 0 
                 0 
               
               
                 c θLT   
                 −50.35971223 
                 −50.35971223 
               
               
                 d TLTTS   
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
               
               
                 d TLTψSi   
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
               
               
                 d TSTE   
                 41.63149071 
                 41.63149071 
               
               
                 d TSψSi   
                 −0.577179204 
                 −0.577179204 
               
               
                 d TSθLT   
                 0.603866778 
                 0.603866778 
               
               
                 d TEψSi   
                 0.134944598 
                 0.134944598 
               
               
                 d TEθLT   
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
               
               
                 e 
                 −2.703317679 
                 −2.703317679 
               
               
                 a TP   
                 −111692 
                 −111692 
               
               
                 b TP   
                 19239 
                 19239 
               
               
                 c TP   
                 −952.97 
                 −952.97 
               
               
                 d TP   
                 8.8027 
                 8.8027 
               
               
                 f TP   
                 1.0495 
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 40 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 133.7896555 
               
               
                 a TLT   (1)   
                 −7.761727985 
                 −9.701155851 
               
               
                 b TLT   (2)   
                 0 
                 0.006281971 
               
               
                 c TLT   
                 0.315508021 
                 0.306914894 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 −20.35135077 
                 −6.1866502361 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.297860963 
                 0.298404255 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
               
               
                 a TE   (2)   
                 110.8304316 
                 0 
               
               
                 a TE   (1)   
                 4.038561723 
                 −8.229960495 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.006431411 
                 0 
               
               
                 c TE   
                 0.140374332 
                 0.363297872 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0.002534654 
                 0.001652947 
               
               
                 a ψSi   (1)   
                 0.024768138 
                 −0.003241344 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 269.2484772 
                 266.6845858 
               
               
                 c ψSi   
                 21.4171123 
                 20.26595745 
               
               
                 a θLT   (2)   
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0 
                 −0.066116428 
               
               
                 b θLT   (2)   
                 0 
                 0 
               
               
                 c θLT   
                 −90 
                 −50.4787234 
               
               
                 d TLTTS   
                 96.23533718 
                 0 
               
               
                 d TLTTE   
                 −66.46866878 
                 0 
               
               
                 d TLTψSi   
                 −0.404808481 
                 −0.688053172 
               
               
                 d TLTθLT   
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
               
               
                 d TSψSi   
                 −0.733337318 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
               
               
                 d TEψSi   
                 0.584322518 
                 −0.372994212 
               
               
                 d TEθLT   
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
               
               
                 e 
                 −3.679364607 
                 −4.20794513 
               
               
                 a TP   
                 −111692 
                 −1116921 
               
               
                 b TP   
                 19239 
                 19239 
               
               
                 c TP   
                 −952.97 
                 −952.97 
               
               
                 d TP   
                 8.8027 
                 8.8027 
               
               
                 f TP   
                 1.0495 
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 41 
               
             
            
               
                   
               
               
                   
                 Si(110) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −16.69742899 
                 −16.69742899 
                 −33.56520202 
                 0 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.1675 
                 0.1675 
                 0.192857143 
                 0 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 15.90196012 
                 15.90196012 
                 0 
                 0 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.1525 
                 0.1525 
                 0 
                 0 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
                 26.3030303 
                 0 
               
               
                 a TE   (1)   
                 0 
                 0 
                 −6.181053391 
                 0 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0.006326531 
                 0 
               
               
                 c TE   
                 0 
                 0 
                 0.378571429 
                 0 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 −0.000183963 
                 −0.000183963 
                 0 
                 −0.000177142 
               
               
                 a ψSi   (2)   
                 −0.003236307 
                 −0.003236307 
                 0 
                 0.002186084 
               
               
                 a ψSi   (1)   
                 0.071460688 
                 0.071460688 
                 0.085067773 
                 0.13561432 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 −5768.71875 
                 −5768.71875 
                 0 
                 2642.857143 
               
               
                 b ψSi   (2)   
                 399.9375 
                 399.9375 
                 0 
                 500 
               
               
                 c ψSi   
                 65.25 
                 65.25 
                 34.28571429  
                 55 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 −0.005336622 
               
               
                 a θLT   (1)   
                 0 
                 0 
                 0.070255628 
                 0.032718563 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 65.75963719 
               
               
                 c θLT   
                 −90 
                 −90 
                 −51.42857143 
                 −50.95238095 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTψSi   
                 1.873870705 
                 1.873870705 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
                 0.716151515 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 −0.00729303 
                 0.002110378 
               
               
                 e 
                 −0.957101918 
                 −0.957101918 
                 −1.634922542 
                 −1.290881853 
               
               
                 a TP   
                 −111692 
                 −111692 
                 −111692 
                 −111692 
               
               
                 b TP   
                 19239 
                 19239 
                 19239 
                 19239 
               
               
                 c TP   
                 −952.97 
                 −952.97 
                 −952.97 
                 −952.97 
               
               
                 d TP   
                 8.8027 
                 8.8027 
                 8.8027 
                 8.8027 
               
               
                 f TP   
                 1.0495 
                 1.0495 
                 1.0495 
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 42 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −23.96596978 
                 −4.695531045 
                 −7.344438725 
                 −5.603099395 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.34 
                 0.3296875 
                 0.338983051 
                 0.306666667 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.175555556 
                 0 
                 0 
                 0 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 −43.48595551 
                 −70.50554427 
                 −41.95412633 
               
               
                 a TE   (1)   
                 0 
                 −2.467054545 
                 −5.460437635 
                 −2.19025056 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0.006875 
                 0.006716461 
                 0.006819565 
               
               
                 c TE   
                 0 
                 0.15 
                 0.36524237 
                 0.360666667 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0.000119479 
                 −0.000172812 
               
               
                 a ψSi   (2)   
                 0.018474062 
                 0 
                 0.003987724 
                 0.002213009 
               
               
                 a ψSi   (1)   
                 0.059131688 
                 0 
                 −0.047908658 
                 0.073831446 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 −2384.203107 
                 1647.952 
               
               
                 b ψSi   (2)   
                 81.55555556 
                 0 
                 216.791152  
                 242.24 
               
               
                 c ψSi   
                 35.33333333 
                 0 
                 30.76271186 
                 62.6 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.009475371 
                 0 
                 0.026725166  
                 0 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −40.33333333 
                 −90 
                 −49.83050847 
                 −90 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
                 0 
                 42.3018696 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0.817240199 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSψSi   
                 2.812107038 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 2.129359248 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0.871101002 
                 0 
                 0 
                 0 
               
               
                 e 
                 −2.861861362 
                 −2.210765625 
                 −2.573237288 
                 −2.440604203 
               
               
                 a TP   
                 −111692 
                 −111692 
                 −111692 
                 −111692 
               
               
                 b TP   
                 19239 
                 19239 
                 19239 
                 19239 
               
               
                 c TP   
                 −952.97 
                 −952.97 
                 −952.97 
                 −952.97 
               
               
                 d TP   
                 8.8027 
                 8.8027 
                 8.8027 
                 8.8027 
               
               
                 f TP   
                 1.0495 
                 1.0495 
                 1.0495 
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 43 
               
             
            
               
                   
               
               
                   
                 Si(110) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −10.87353735 
                 −17.74612134 
                 −16.74814911 
                 −16.74814911 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.167045455 
                 0.158227848 
                 0.168032787 
                 0.168032787 
               
               
                 a TS   (2)   
                 92.14417413 
                 275.6432031 
                 0 
                 0 
               
               
                 a TS   (1)   
                 −6.141913324 
                 −0.713377524 
                 −9.071522271 
                 −9.071522271 
               
               
                 b TS   (2)   
                 0.004213585 
                 0.004749239 
                 0 
                 0 
               
               
                 c TS   
                 0.379772727 
                 0.317721519 
                 0.314754098 
                 0.314754098 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 −37.82699975 
                 0 
                 0 
                 0 
               
               
                 a TE   (1)   
                 4.315324766 
                 3.259148162 
                 −5.270739047 
                 −5.270739047 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.007147489 
                 0 
                 0 
                 0 
               
               
                 c TE   
                 0.153409091 
                 0.138607595 
                 0.356557377 
                 0.356557377 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 −3.73552E−09 
                 −3.73552E−09 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 −4.69013E−08 
                 −4.69013E−08 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                   1.07773E−05 
                   1.07773E−05 
               
               
                 a ψSi   (3)   
                 0.000254041 
                 −0.000266841 
                   5.64997E−05 
                   5.64997E−05 
               
               
                 a ψSi   (2)   
                 0.00704637 
                 0.003350583 
                 −0.007526984 
                 −0.007526984 
               
               
                 a ψSi   (1)   
                 −0.123432463 
                 0.05687546 
                 −0.035719404 
                 −0.035719404 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 1801696668 
                 1801696668 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 6726299.443  
                 6726299.443 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 1035415.498 
                 1035415.498 
               
               
                 b ψSi   (3)   
                 −1197.310014 
                 2539.305207 
                 3573.665857 
                 3573.665857 
               
               
                 b ψSi   (2)   
                 188.2457386 
                 286.0358917 
                 720.1088417 
                 720.1088417 
               
               
                 c ψSi   
                 28.125 
                 63.60759494 
                 48.19672131 
                 48.19672131 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.046748629 
                 0.00460971 
                 0 
                 0 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −51.59090909 
                 −50.75949367 
                 −90 
                 −90 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 105.3055279 
                 0 
                 0 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 58.63016883 
                 0 
                 0 
                 0 
               
               
                 d TSψSi   
                 0.443510572 
                 0.274149566  
                 0  
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0.293912516 
                 −0.280924747 
                 0 
                 0 
               
               
                 d TEθLT   
                 0 
                 0.457718571 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 −0.005165328 
                 0 
                 0 
               
               
                 e 
                 −1.722804167 
                 −2.484892701 
                 −2.976959016 
                 −2.976959016 
               
               
                 a TP   
                 −111692 
                 −111692 
                 −111692 
                 −111692 
               
               
                 b TP   
                 19239 
                 19239 
                 19239 
                 19239 
               
               
                 c TP   
                 −952.97 
                 −952.97 
                 −952.97 
                 −952.97 
               
               
                 d TP   
                 8.8027 
                 8.8027 
                 8.8027 
                 8.8027 
               
               
                 f TP   
                 1.0495 
                 1.0495 
                 1.0495 
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 44 
               
             
            
               
                   
               
               
                   
                 Si(110) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 39.48011293 
               
               
                 a TLT   (1)   
                 −5.239160454 
                 −5.820942031 
                 −4.867344296 
                 −2.496300587 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0.00654321 
               
               
                 c TLT   
                 0.309375 
                 0.302702703 
                 0.286363636 
                 0.238838889 
               
               
                 a TS   (2)   
                 24.40391167 
                 40.38499201 
                 0 
                 40.45660337 
               
               
                 a TS   (1)   
                 −2.128595361 
                 −6.73354721 
                 −3.626479228 
                 −6.290401812 
               
               
                 b TS   (2)   
                 0.006013184 
                 0.005624543 
                 0 
                 0.005617284 
               
               
                 c TS   
                 0.3265625 
                 0.275675676 
                 0.31 
                 0.272222222 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 −51.46488975 
                 0 
                 0 
               
               
                 a TE   (1)   
                 −1.921891837 
                 −0.509929613 
                 −1.508039016 
                 −0.870147512 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0.006479182 
                 0 
                 0 
               
               
                 c TE   
                 0.153125 
                 0.147297297 
                 0.341818182 
                 0.351388889 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 −0.000165117 
                 0 
                 0 
                 −9.554045−05 
               
               
                 a ψSi   (2)   
                 0.000936051 
                 0.00475603 
                 0 
                 0.002198207 
               
               
                 a ψSi   (1)   
                 −0.02141106 
                 0.040196571 
                 −0.017152634 
                 0.036260775 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 2115.829763 
                 0 
                 1531.394676 
               
               
                 b ψSi   (2)   
                 246.9177246 
                 196.5668371 
                 0 
                 199.8263869 
               
               
                 c ψSi   
                 24.140625 
                 57.97297297 
                 21.13636364 
                 60.41666667 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 −0.003220943 
               
               
                 a θLT   (1)   
                 0.023743348 
                 0.023741003 
                 0.038368027 
                 0.005042496 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 72.22222222 
               
               
                 c θLT   
                 −50.078125 
                 −48.51351351 
                 −50.81818182 
                 −50 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 −43.45862557 
               
               
                 d TLTTE   
                 −35.16960363 
                 −48.00382984 
                 23.6423037 
                 52.46703277 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEθLT   
                 0.24382842 
                 0 
                 0 
                 −0.273892853 
               
               
                 d ψSiθLT   
                 0 
                 −0.00130658 
                 −0.001221935 
                 0 
               
               
                 e 
                 −2.175330984 
                 −2.239116787 
                 −2.271294054 
                 −2.496300587 
               
               
                 a TP   
                 −111692 
                 −111692 
                 −111692 
                 −111692 
               
               
                 b TP   
                 19239 
                 19239 
                 19239 
                 19239 
               
               
                 c TP   
                 −952.97 
                 −952.97 
                 −952.97 
                 −952.97 
               
               
                 d TP   
                 8.8027 
                 8.3027 
                 8.8027 
                 8.8027 
               
               
                 f TP   
                 1.0495 
                 1.0495 
                 1.0495 
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 45 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 16.07631847 
                 20.22733656 
                 30.72650306 
                 27.83979251 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.145833333 
                 0.1625 
                 0.159574468 
                 0.158695652 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 17.08812597 
                 27.84866827 
                 31.28009383 
                 12.67453621 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.154166667 
                 0.172916667 
                 0.161702128 
                 0.163043476 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 −96.15629371 
                 0 
                 138.3065683 
                 0 
               
               
                 a TE   (1)   
                 −1.283589744 
                 2.88391591 
                 −9.345807167 
                 −7.807789594 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.006649306 
                 0 
                 0.006229063 
                 0 
               
               
                 c TE   
                 0.170833333 
                 0.14375 
                 0.369148936 
                 0.345852174 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0 
                 0 
                 0 
                 −0.006862727 
               
               
                 a ψSi   (1)   
                 −0.101535567 
                 −0.012511908 
                 −0.101466433 
                 0.176438509 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 0 
                 0 
                 114.9456522 
               
               
                 c ψSi   
                 24.375 
                 44.375 
                 22.0212766 
                 37.5 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −90 
                 −90 
                 −90 
                 −90 
               
               
                 d TLTTS   
                 −477.9162005 
                 −760.9473336 
                 −1054.386561 
                 −1044.340968 
               
               
                 d TLTTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTψSi   
                 0 
                 1.332405924 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 −250.1524613 
                 102.33575 
                 105.8611165 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 −2.093429604 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 −0.613440559 
                 0 
                 1.201832187 
                 −0.525734733 
               
               
                 d TEθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 e 
                 −0.553295028 
                 −1.074792989 
                 −1.290770348 
                 −1.165057152 
               
               
                 a TP   
                 −111692 
                 −111692 
                 −111692 
                 −111692 
               
               
                 b TP   
                 19239 
                 19239 
                 19239 
                 19239 
               
               
                 c TP   
                 −952.97 
                 −952.97 
                 −952.97 
                 −952.97 
               
               
                 d TP   
                 8.8027 
                 8.8027 
                 8.8027 
                 8.8027 
               
               
                 f TP   
                 1.0495 
                 1.0495 
                 1.0495 
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 46 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 −262.3995984 
                 −262.3995984 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −59.70400634 
                 −59.70400634 
                 −18.45032018 
                 −20.44479246 
               
               
                 b TLT   (2)   
                 0.004691358 
                 0.004691358 
                 0 
                 0 
               
               
                 c TLT   
                 0.355555556 
                 0.355555556 
                 0.332352941 
                 0.331914894 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 −73.33869606 
                 −73.33869606 
                 −9.963926388 
                 −24.5747574 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.185185185 
                 0.185185185 
                 0.166176471 
                 0.165957447 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (1)   
                 −19.84024877 
                 −19.84024877 
                 −8.905455835 
                 −17.17093947 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TE   
                 0.157407407 
                 0.157407407 
                 0.369117647 
                 0.373404255 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 −4.69771E−05 
                 −4.69771E−05 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 −0.000362538 
                 −0.000362538 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0.05513453 
                 0.055133453 
                 −0.004320224 
                 0.021125116 
               
               
                 a ψSi   (1)   
                 0.020862911 
                 0.020862911 
                 −0.310605012 
                 −0.064218508 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 138552.1512 
                 138552.1512 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 −78.36076818 
                 −78.36076818 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 203.1635302 
                 203.1635802 
                 145.9775087 
                 66.20642825 
               
               
                 c ψSi   
                 33.05555556 
                 33.05555556 
                 19.41176471 
                 34.46808511 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 −0.079155699 
                 −0.079155699 
                 0 
                 0.057672719 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −49.81481481 
                 −49.81481481 
                 −90 
                 −49.14893617 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTTE   
                 −254.5809235 
                 −254.5809235 
                 80.69948416 
                 99.56817027 
               
               
                 d TLTψSi   
                 2.260189055 
                 2.260189055 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0.785540829 
                 −0.785540829 
                 0 
                 0 
               
               
                 d TSTE   
                 −292.5762951 
                 −292.5762961 
                 0 
                 0 
               
               
                 d TSψSi   
                 −5.914103654 
                 −5.914103654 
                 −1.139436429 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 1.75463008 
                 1.75463008 
                 0.660099875 
                 −3.844659844 
               
               
                 d TEθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0 
                 0.006965097 
               
               
                 e 
                 −1.304804416 
                 −1.304804416 
                 −2.734683251 
                 −3.115044468 
               
               
                 a TP   
                 −111692 
                 −111692 
                 −111692 
                 −111692 
               
               
                 b TP   
                 19239 
                 19239 
                 19239 
                 19239 
               
               
                 c TP   
                 −952.97 
                 −952.97 
                 −952.97 
                 −952.97 
               
               
                 d TP   
                 8.8027 
                 8.8027 
                 8.8027 
                 8.8027 
               
               
                 f TP   
                 1.0495 
                 1.0495 
                 1.0495 
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 47 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0.003649147 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −17.27824731 
                 −24.3903101 
                 −38.65647339 
                 −21.91795924 
               
               
                 b TLT   (2)   
                 67.18624026 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.154098361 
                 0.15631068 
                 0.17 
                 0.1575 
               
               
                 a TS   (2)   
                 84.63185118 
                 0 
                 148.7691928 
                 140.0125491 
               
               
                 a TS   (1)   
                 −6.307527081 
                 −32.68184816 
                 −15.38083251 
                 −11.91949736 
               
               
                 b TS   (2)   
                 0.004461166 
                 0 
                 0.005012245 
                 0.004623438 
               
               
                 c TS   
                 0.352459016 
                 0.345631068 
                 0.331428571 
                 0.33875 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (1)   
                 2.909874306 
                 8.8475559 
                 −16.54803788 
                 −0.024546617 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TE   
                 0.135245902 
                 0.148058252 
                 0.372857143 
                 0.33125 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0 
                 0.006216698 
                 0 
                 0 
               
               
                 a ψSi   (1)   
                 −0.068574135 
                 −0.018885558 
                 −0.187578295 
                 0.122573316 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 147.1439344 
                 0 
                 0 
               
               
                 c ψSi   
                 22.62295082 
                 43.10679612 
                 22.71428571 
                 39.1875 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.023219728 
                 0.047846607 
                 0.097088558 
                 0.096327065 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −50.16393443 
                 −50.38834951 
                 −50.42857143 
                 −51.25 
               
               
                 d TLTTS   
                 0 
                 −144.763071 
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
                 −161.2345526 
                 0 
               
               
                 d TLTψSi   
                 −0.827435588 
                 0 
                 0 
                 1.107475984 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 103.0553675 
                 −65.68497311 
                 0 
               
               
                 d TSψSi   
                 0 
                 −1.329400713 
                 0.82928215 
                 −0.646921162 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 −0.681669875 
                 0.653050787 
                 0.676734069 
                 0.936807034 
               
               
                 d TEθLT   
                 0 
                 0 
                 0.481989709 
                 0.52746173 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 e 
                 −1.560056382 
                 −2.656750279 
                 −2.259351603 
                 −1.805786084 
               
               
                 a TP   
                 −111692 
                 −111692 
                 −111692 
                 −111692 
               
               
                 b TP   
                 19239 
                 19239 
                 19239 
                 19239 
               
               
                 c TP   
                 −952.97 
                 −962.97 
                 −952.97 
                 −952.97 
               
               
                 d TP   
                 8.8027 
                 8.8027 
                 8.8027 
                 8.8027 
               
               
                 f TP   
                 1.0495 
                 1.0495 
                 1.0495 
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 48 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 77.3065693 
                 243.6937004 
                 0 
               
               
                 a TLT   (1)   
                 −13.49335267 
                 −9.878165228 
                 −6.309863061 
                 −12.90130633 
               
               
                 b TLT   (2)   
                 0 
                 0.00674795 
                 0.006522811 
                 0 
               
               
                 c TLT   
                 0.300961538 
                 0.297350993 
                 0.29858156 
                 0.306818182 
               
               
                 a TS   (2)   
                 133.2691939 
                 160.4037443 
                 82.71737336 
                 100.5491122 
               
               
                 a TS   (1)   
                 −9.215218873 
                 −21.20902158 
                 −9.283157312 
                 −7.984268054 
               
               
                 b TS   (2)   
                 0.006382979 
                 0.005353274 
                 0.006382979 
                 0.005704201 
               
               
                 c TS   
                 0.314423077 
                 0.303311258 
                 0.3 
                 0.311363636 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 90.39669198 
                 0 
                 0 
               
               
                 a TE   (1)   
                 0.170720276 
                 3.925569914 
                 −15.08313602 
                 −9.451928755 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0.006615499 
                 0 
                 0 
               
               
                 c TE   
                 0.15 
                 0.147350993 
                 0.363475177 
                 0.346212121 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 −0.00740803 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (1)   
                 −0.220502432 
                 0.083594751 
                 −0.104344279 
                 0.088096624 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 135.4659763 
                 0 
                 0 
                 0 
               
               
                 c ψSi   
                 20.76923077 
                 43.70860927 
                 17.87234043 
                 41.47727273 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 −0.017420386 
                 −0.012240534 
                 0 
                 0 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −50.28846154 
                 −50.26490066 
                 −90 
                 −90 
               
               
                 d TLTTS   
                 149.298265 
                 220.9283416 
                 135.5319056 
                 135.1493422 
               
               
                 d TLTTE   
                 0 
                 0 
                 0 
                 −65.38520659 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0 
                 −0.663828772 
               
               
                 d TLTθLT   
                 −0.703824061 
                 −0.739197646 
                 0 
                 0 
               
               
                 d TSTE   
                 122.4270642 
                 0 
                 −54.62192085 
                 0 
               
               
                 d TSψSi   
                 0.714493384 
                 −1.189155195 
                 0 
                 −1.017237869 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0.556597609 
                 0 
                 0 
               
               
                 d TEθLT   
                 0.734424122 
                 0.628956462 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 −0.003900657 
                 0.003268439 
                 0 
                 0 
               
               
                 e 
                 −2.246432623 
                 −2.691572945 
                 −3.425676672 
                 −3.236112132 
               
               
                 a TP   
                 −111692 
                 −111692 
                 −111692 
                 −111592 
               
               
                 b TP   
                 19239 
                 19239 
                 19239 
                 19239 
               
               
                 c TP   
                 −952.97 
                 −952.97 
                 −952.97 
                 −952.97 
               
               
                 d TP   
                 8.8027 
                 8.8027 
                 8.8027 
                 8.8027 
               
               
                 f TP   
                 1.0495 
                 1.0495 
                 1.0495 
                 1.0495 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 49 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  &lt; 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −5.687707928 
                 −5.687707928 
               
               
                 b TLT   (2)   
                 0 
                 0 
               
               
                 c TLT   
                 0.139506173 
                 0.139506173 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 5.653643283 
                 5.653643283 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.148148148 
                 0.148148148 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
               
               
                 a TE   (1)   
                 −1.004369706 
                 −1.004369706 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
               
               
                 c TE   
                 0.255555556 
                 0.255555556 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 −0.000197083 
                 −0.000197083 
               
               
                 a ψSi   (2)   
                 −0.003376583 
                 −0.003276583 
               
               
                 a ψSi   (1)   
                 0.118081927 
                 0.118081927 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 −379.4708632 
                 −379.4708632 
               
               
                 b ψSi   (2)   
                 278.0521262 
                 278.0521262 
               
               
                 c ψSi   
                 23.14814815 
                 23.14814815 
               
               
                 a θLT   (2)   
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.128631041 
                 0.128631041 
               
               
                 b θLT   (2)   
                 0 
                 0 
               
               
                 c θLT   
                 −49.32098765 
                 −49.32098765 
               
               
                 d TLTTS   
                 0 
                 0 
               
               
                 d TLTTE   
                 72.43218274 
                 72.43278214 
               
               
                 d TLTψSi   
                 0.604747502 
                 0.604747502 
               
               
                 d TLTθLT   
                 −1.743618251 
                 −1.743618251 
               
               
                 d TSTE   
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
               
               
                 d TSθLT   
                 0.994157261 
                 0.994157261 
               
               
                 d TEψSi   
                 0 
                 0 
               
               
                 d TEθLT   
                 0.280889881 
                 0.280889881 
               
               
                 d ψSiθLT   
                 0.0030951322 
                 0.003095822 
               
               
                 e 
                 −5.638096455 
                 −5.638096455 
               
               
                 a TP   
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 50 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0.2 &lt; T LT  ≤ 3.5 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  &lt; 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
               
               
                 a TLT   (1)   
                 7.809960834 
                 4.249755245 
               
               
                 b TLT   (2)   
                 0 
                 0 
               
               
                 c TLT   
                 0.30962963 
                 0.302857143 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 0 
                 −0.800874586 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0 
                 0.150714286 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
               
               
                 a TE   (1)   
                 −3.563479635 
                 9.07053135 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
               
               
                 c TE   
                 0.14851519 
                 0.353571429 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 −0.000160979 
                 0 
               
               
                 a ψSi   (2)   
                 −0.000757552 
                 0.001332545 
               
               
                 a ψSi   (1)   
                 0.095785615 
                 0.003836714 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 384.7407407 
                 0 
               
               
                 b ψSi   (2)   
                 278.2222222 
                 285.09566331 
               
               
                 c ψSi   
                 21.33383333 
                 20.892857141 
               
               
                 a θLT   (2)   
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.043185248 
                 0.033521037 
               
               
                 b θLT   (2)   
                 0 
                 0 
               
               
                 c θLT   
                 −50 
                 −50.928571431 
               
               
                 d TLTTS   
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
               
               
                 d TLTψSi   
                 −0.383208698 
                 −0.220029295 
               
               
                 d TLTθLT   
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0.974573109 
               
               
                 d TEψSi   
                 0 
                 0 
               
               
                 d TEθLT   
                 1.01389349 
                 −1.078939399 
               
               
                 d ψSiθLT   
                 0 
                 0.002899732 
               
               
                 e 
                 −5.569590226 
                 −5.29442278 
               
               
                 a TP   
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 51 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −11.51287 
                 −11.51287 
               
               
                 b TLT   (2)   
                 0 
                 0 
               
               
                 c TLT   
                 0.136328125 
                 0.130323125 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 6.022608826 
                 6.022608826 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.305859375 
                 0.305859375 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 −180.607873 
                 −180.607873 
               
               
                 a TE   (2)   
                 −1.347493816 
                 −1.347493816 
               
               
                 a TE   (1)   
                 4.84120465 
                 4.841204365 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 −0.000227051 
                 −0.000227051 
               
               
                 b TE   (2)   
                 0.019179688 
                 0.019179688 
               
               
                 c TE   
                 0.25625 
                 0.25625 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 −0.001342794 
                 −0.001342794 
               
               
                 a ψSi   (1)   
                 0.25625 
                 0.25625 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 275.7568359 
                 275.7568359 
               
               
                 c ψSi   
                 0.25625 
                 0.25625 
               
               
                 a θLT   (2)   
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.153688205 
                 0.153688205 
               
               
                 b θLT   (2)   
                 0 
                 0 
               
               
                 c θLT   
                 −49.140625 
                 −49.140625 
               
               
                 d TLTTS   
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
               
               
                 d TLTψSi   
                 0 
                 0 
               
               
                 d TLTθLT   
                 −1.180623763 
                 −1.180623763 
               
               
                 d TSTE   
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
               
               
                 d TEθLT   
                 0.41394071 
                 0.41394071 
               
               
                 d ψSiθLT   
                 0.003203013 
                 0.003203013 
               
               
                 e 
                 −4.433641408 
                 −4.433641408 
               
               
                 a TP   
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 52 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 119.666412 
                 118.2359738 
               
               
                 a TLT   (1)   
                 4.447768142 
                 2.271979446 
               
               
                 b TLT   (2)   
                 0.006371047 
                 0.00699901 
               
               
                 c TLT   
                 0.31147541 
                 0.30631068 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 0 
                 −3.805216895 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0 
                 0.298543689 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
               
               
                 a TE   (2)   
                 117.8354557 
                 121.7109482 
               
               
                 a TE   (1)   
                 2.10793686 
                 −0.578851453 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.906775956 
                 0.006610661 
               
               
                 c TE   
                 0.15 
                 0.35631068 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 −0.001658706 
                 0 
               
               
                 a ψSi   (1)   
                 0.05677734 
                 0.003834195 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 272.5477022 
                 0 
               
               
                 c ψSi   
                 20.90163934 
                 20.02427184 
               
               
                 a θLT   (2)   
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.051921544 
                 0.050011808 
               
               
                 b θLT   (2)   
                 0 
                 0 
               
               
                 c θLT   
                 −48.36085574 
                 −48.93203883 
               
               
                 d TLTTS   
                 0 
                 0 
               
               
                 d TLTTE   
                 61.26575286 
                 0 
               
               
                 d TLTψSi   
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 −82.22932804 
               
               
                 d TSψSi   
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 −0.470524678 
               
               
                 d TEψSi   
                 0 
                 0 
               
               
                 d TEθLT   
                 0.904198722 
                 −0.776132158 
               
               
                 d ψSiθLT   
                 0.003410501 
                 0.003906326 
               
               
                 e 
                 −5.339814906 
                 −5.463687811 
               
               
                 a TP   
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 53 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −7.587457615 
                 −7.587457615 
                 −7.587457615 
                 −7.587457615 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.174380165 
                 0174380185 
                 0.174380165 
                 0.174380165 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 −3.979714537 
                 −3.979714537 
                 −3.979714537 
                 −3.979714537 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.15043223 
                 0150413223 
                 0.150413223 
                 0.150413223 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (1)   
                 −0.865040993 
                 −0.865040993 
                 −0.865040993 
                 −0.865040993 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TE   
                 0.245867769 
                 0.245867769 
                 0.245867769 
                 0.245867769 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                   5.87537E−07 
                   5.87537E−07 
                   5.87537E−07 
                   5.87537E−07 
               
               
                 a ψSi   (3)   
                 −8.59015E−07 
                 −8.59015E−07 
                 −8.59015E−07 
                 −8.59015E−07 
               
               
                 a ψSi   (2)   
                 −0.001948222 
                 −0.001948222 
                 −0.001948222 
                 −0.001948222 
               
               
                 a ψSi   (1)   
                 −0.027558032 
                 −0.027558032 
                 −0.027558032 
                 −0.027558032 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 1129157.497 
                 1129197.497 
                 1129197.497 
                 1129197.497 
               
               
                 b ψSi   (3)   
                 −1524.372995 
                 −1524.372996 
                 −1524.372996 
                 −1524.372996 
               
               
                 b ψSi   (2)   
                 776.3813947 
                 776.3813947 
                 776.3813947 
                 776.3813947 
               
               
                 c ψSi   
                 41.52892562 
                 41.52892562 
                 41.522562 
                 41.52692562 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.018744549 
                 0.018744549 
                 0.018744549 
                 0.018744549 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −49.25619835 
                 −49.25619835 
                 −49.25619835 
                 −49.25619835 
               
               
                 d TLTTS   
                 140.6234074 
                 140.6234074 
                 140.6234074 
                 140.6234074 
               
               
                 d TLTTE   
                 −25.20654793 
                 −25.20654793 
                 −25.20654793 
                 −25.20654793 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 e 
                 −1.7395E9626 
                 −1.789519626 
                 −1.789519626 
                 −1.789519626 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
                 −15.448 
                 −15.449 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
                 −2.9188 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 54 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 39.68139696 
                 39.68139696 
               
               
                 a TLT   (1)   
                 −3.912934705 
                 −3.912934705 
                 −3.8019359113 
                 −3.801935963 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0.00692398 
                 0.00692398 
               
               
                 c TLT   
                 0.306451613 
                 0.306451613 
                 0.297857143 
                 0.297857143 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (1)   
                 1.912614784 
                 1.912614784 
                 −6.089810932 
                 −6.089810932 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TE   
                 0.148924731 
                 0.148924731 
                 0.347857143 
                 0.347857143 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 8.78847E−06 
                 8.78847E−06 
               
               
                 a ψSi   (2)   
                 −0.0004718 
                 −0.0004718 
                 −0.000160567 
                 −0.000160567 
               
               
                 a ψSi   (1)   
                 0.003265633 
                 0.003265633 
                 −0.023574651 
                 −0.023574651 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 2351.597668 
                 2351.597668 
               
               
                 b ψSi   (2)   
                 847.4765869 
                 847.4765869 
                 880.2091837 
                 880.2091837 
               
               
                 c ψSi   
                 35.32258065 
                 35.12258065 
                 43.07142857 
                 43.07142857 
               
               
                 a θLT   (2)   
                 0.005014741 
                 0.005014741 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.023115164 
                 0.023115164 
                 0.030121011 
                 0.030121011 
               
               
                 b θLT   (2)   
                 67.0626662 
                 67.0626662 
                 0 
                 0 
               
               
                 c θLT   
                 −49.62365591 
                 −49.62365591 
                 −51.28571429 
                 −51.28571428 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0.125572529 
                 0.125572529 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEθLT   
                 0.563162206 
                 0.563162206 
                 −0.417002414 
                 −0.417002414 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 e 
                 −2.002512986 
                 −2.002512986 
                 −2.550158637 
                 −2.550158637 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
                 −15.448 
                 −15.448 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
                 −2.9188 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 55 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 2.992014692 
                 2.992014692 
                 −1.461725087 
                 −1.461725087 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.156390977 
                 0.156390977 
                 0.155345912 
                 0.155345912 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 −9.089925228 
                 −9.089925228 
                 −1.247751383 
                 −1.247751383 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.30563158 
                 0.305263158 
                 0.327872956 
                 0.327672956 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
                 −130.6388144 
                 −130.63881444 
               
               
                 a TE   (1)   
                 5.773590917 
                 5.773590917 
                 −0.010504162 
                 −0.010504162 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0.006662711 
                 0.006662711 
               
               
                 c TE   
                 0.166541353 
                 0.166541353 
                 0.341823899 
                 0.341823899 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 1.03604E−05 
                 1.03604E−05 
               
               
                 a ψSi   (2)   
                 −0.000377109 
                 −0.000138558 
                 −0.000138558 
                 −0.000138558 
               
               
                 a ψSi   (1)   
                 0.013702515 
                 −0.013702515 
                 −0.028102653 
                 −0.028102653 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 3096.349671 
                 3096.349671 
               
               
                 b ψSi   (2)   
                 792.2381141 
                 792.2381141 
                 957.6361695 
                 957.6361695 
               
               
                 c ψSi   
                 41.39097744 
                 41.39097744 
                 43.20754717 
                 43.20754717 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.015804665 
                 0.015804666 
                 0.028892246 
                 0.028892246 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −49.32330827 
                 −49.32330827 
                 −49.62264151 
                 −49.62264151 
               
               
                 d TLTTS   
                 0 
                 0 
                 −44.5976835 
                 −44.5976835 
               
               
                 d TLTTE   
                 80.90186655 
                 80.90186655 
                 −150.2428298 
                 −150.2428293 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0.225309644 
                 0.225100644 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 29.68261053 
                 29.68261053 
                 47.35851038 
                 47.35851038 
               
               
                 d TSψSi   
                 0.136750854 
                 0.136750854 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 −0.146211814 
                 −0.146211814 
                 0 
                 0 
               
               
                 d TEθLT   
                 0.41229257 
                 0.41229257 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 e 
                 −2.596813807 
                 −2.596813807 
                 −2.049341112 
                 −2.049341112 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
                 −15.448 
                 −15.443 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
                 −2.9188 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 56 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −2.80791074 
                 −2.80791074 
                 0 
                 0 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.3069869 
                 0.3069869 
                 0 
                 0 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 −5.618098986 
                 −5.618098986 
                 0 
                 0 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.286462882 
                 0.286462882 
                 0 
                 0 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
                 −73.23839461 
                 −73.23839451 
               
               
                 a TE   (1)   
                 8.962154821 
                 8.962154821 
                 −5.710295136 
                 −5.710295136 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                   
               
               
                 b TE   (2)   
                 0 
                 0 
                 0.007310763 
                 0.007310763 
               
               
                 c TE   
                 0.167467249 
                 0.167467249 
                 0.330930233 
                 0.330930233 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (1)   
                 0.003677309 
                 0.003677309 
                 0 
                 0 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c ψSi   
                 40.93886463 
                 40.93886463 
                 0 
                 0 
               
               
                 a θLT   (2)   
                 0.00527863 
                 0.00527863 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.008431458 
                 0.008431458 
                 0 
                 0 
               
               
                 b θLT   (2)   
                 66.00179249 
                 66.00179249 
                 0 
                 0 
               
               
                 c θLT   
                 −50.61135371 
                 −50.61135371 
                 −90 
                 −90 
               
               
                 d TLTTS   
                 63.6265441 
                 63.6265441 
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 57.20229582 
                 57.20229582 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 −0.093212695 
                 −0.098212695 
                 0 
                 0 
               
               
                 d TEθLT   
                 0.32576925 
                 0.32576925 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 e 
                 −2.431352404 
                 −2.431352404 
                 −2.39032093 
                 −2.39002093 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
                 −15.448 
                 −15.448 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
                 −2.9188 
                 −2.9183 
               
               
                 f TP   
                 1.0599 
                 1.0599 
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 57 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −26.67263869 
                 −6.49243933 
                 −20.61574254 
                 −27.06290014 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.15443038 
                 0.175438596 
                 0.160759494 
                 0.156896552 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 −7.971316395 
                 7.232224634 
                 −16.40433051 
                 −3.920556446 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.14556262 
                 0.133333333 
                 0.144303797 
                 0.144827586 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 −110.7824708 
                 −133.1826499 
                 0 
               
               
                 a TE   (1)   
                 12.77975858 
                 −10.04988717 
                 5.027045348 
                 −5.686378626 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0.006463527 
                 0.006582278 
                 0 
               
               
                 c TE   
                 0.151265823 
                 0.144736842 
                 0.35 
                 0.35862089 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0 
                 0 
                 −0.007219474 
                 0 
               
               
                 a ψSi   (1)   
                 0.028716852 
                 0.04192074 
                 −0.016815807 
                 0.008780601 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 0 
                 125.0280404 
                 0 
               
               
                 c ψSi   
                 9.683544304 
                 50 
                 11.58227848 
                 48.10344828 
               
               
                 a θLT   (2)   
                 0.01035547 
                 0 
                 0 
                 0.014789077 
               
               
                 a θLT   (1)   
                 0.162093889 
                 0.106646805 
                 0.164306798 
                 0.04587348 
               
               
                 b θLT   (2)   
                 61.8811088 
                 0 
                 0 
                 55.43995244 
               
               
                 c θLT   
                 −49.62025316 
                 −50.35087719 
                 −51.01265823 
                 −51.20689655 
               
               
                 d TLTTS   
                 −609.1883956 
                 −724.6623011 
                 −297.9828576 
                 −203.214973 
               
               
                 d TLTTE   
                 −215.420422 
                 0 
                 159.6303697 
                 0 
               
               
                 d TLTψSi   
                 0 
                 −3.771938969 
                 2.003207828 
                 −2.014745526 
               
               
                 d TLTθLT   
                 1.80686724 
                 0 
                 2.218853872 
                 0 
               
               
                 d TSTE   
                 0 
                 −307.4269587 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 −1.097992722 
                 0 
               
               
                 d TSθLT   
                 1.985202008 
                 0 
                 2.104127874 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 −1.451355926 
                 0 
               
               
                 d TEθLT   
                 −203.386471 
                 1.145649707 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 2.42647485 
                 0.004357557 
                 0 
                 0 
               
               
                 e 
                 −5.019952207 
                 −2.13826109 
                 −3.235663805 
                 −3.326865691 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
                 −15.448 
                 −15.448 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
                 −2.9188 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 58 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0.2 &lt; T LT  &lt; 3.5 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 45.51074293 
                 −94.44342524 
                 0 
               
               
                 a TLT   (1)   
                 0.788515154 
                 −3.454983617 
                 −9.832405019 
                 −3.192556866 
               
               
                 b TLT   (2)   
                 0 
                 0.006485261 
                 0.006459172 
                 0 
               
               
                 c TLT   
                 0.298058252 
                 0.295238095 
                 0.298461538 
                 0.298913043 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 −6.97795964 
                 1.31344944 
                 0 
                 0 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.142718447 
                 0.147619048 
                 0 
                 0 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (1)   
                 9.791468713 
                 0.170587985 
                 −0.71523762 
                 −10.72534998 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TE   
                 0.15776699 
                 0.124603375 
                 0.356153846 
                 0.347826087 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0.003924448 
                 0.001661439 
                 0 
                 0.00657999 
               
               
                 a ψSi   (1)   
                 0.15776699 
                 −0.024952541 
                 0.02404454 
                 −0.067389114 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 148.4588557 
                 132.0861678 
                 0 
                 152.6937618 
               
               
                 c ψSi   
                 15.29126214 
                 49.9047619 
                 14.19230769 
                 43.04347826 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.06700163 
                 0.042141715 
                 0.055240362 
                 0.061747928 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −48.33786409 
                 −50.15873016 
                 −49.76923077 
                 −49.45852174 
               
               
                 d TLTTS   
                 116.7290786 
                 −78.78450728 
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 85.46351408 
                 −49.85282875 
                 0 
               
               
                 d TLTψSi   
                 −0.70199108 
                 0.445481139 
                 0 
                 0.604657146 
               
               
                 d TLTθLT   
                 −0.726496836 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 −116.360096 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 −0.622709588 
                 0 
                 0 
               
               
                 d TSθLT   
                 2.041329502 
                 −0.339115637 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0.20688896 
                 0 
                 0 
               
               
                 d TEθLT   
                 0.774150432 
                 0.439380407 
                 −0.6608739 
                 −1.068569294 
               
               
                 d ψSiθLT   
                 −0.005400134 
                 0.002667922 
                 −0.004937546 
                 0.006290209 
               
               
                 e 
                 −4.209434885 
                 −1.791079273 
                 −3.48174155 
                 −3.934527632 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
                 −15.448 
                 −15.448 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
                 −2.9188 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 59 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt;0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −4.67350215 
                 0 
                 −8.8586067 
                 −1.957300157 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.141509434 
                 0 
                 0.153125 
                 0.16 
               
               
                 a TS   (2)   
                 82.42811022 
                 0 
                 87.42203531 
                 0 
               
               
                 a TS   (1)   
                 −7.905282467 
                 −4.948155925 
                 −0.569845134 
                 0.523030757 
               
               
                 b TS   (2)   
                 0.006949092 
                 0 
                 0.006037326 
                 0 
               
               
                 c TS   
                 0.294339623 
                 0.314583333 
                 0.297916667 
                 0.285 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 53.51232744 
                 −79.384134758 
                 0 
                 0 
               
               
                 a TE   (1)   
                 10.58973083 
                 10.26534018 
                 8.135327356 
                 −7.251553825 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.006016376 
                 0.005677083 
                 0 
                 0 
               
               
                 c TE   
                 0.183962264 
                 0.1375 
                 0.336458333 
                 0.37 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0 
                 0 
                 0 
                 0.001429494 
               
               
                 a ψSi   (1)   
                 0.030122468 
                 0.039888924 
                 −0.016592245 
                 −0.004853684 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 0 
                 0 
                 145.6875 
               
               
                 c ψSi   
                 11.88679245 
                 48.4375 
                 14.0625 
                 45.75 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 −0.005093912 
                 0.011098836 
                 0.047530531 
                 0.04750516 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −50 
                 −50.41666667 
                 −50.72916667 
                 −49.75 
               
               
                 d TLTTS   
                 0 
                 0 
                 91.49418307 
                 251.5375225 
               
               
                 d TLTTE   
                 0 
                 0 
                 −156.3654518 
                 0 
               
               
                 d TLTψSi   
                 0.322255595 
                 0 
                 0 
                 −0.289820964 
               
               
                 d TLTθLT   
                 −0.768436344 
                 0 
                 −0.735137765 
                 0 
               
               
                 d TSTE   
                 0 
                 75.51836907 
                 0 
                 0 
               
               
                 d TSψSi   
                 −0.512402643 
                 0.300543357 
                 −0.724013025 
                 0.245746891 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 −0.50556971 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0.002842264 
                 0 
                 0 
               
               
                 e 
                 −2.770026639 
                 −2.6286918.85 
                 −1.980941925 
                 −2.412296494 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
                 −15.448 
                 −15.448 
               
               
                 d TP   
                 −2.9188 
                 −2.9188 
                 −2.9188 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 60 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0.2 &lt; T LT  &lt; 3.5 
               
               
                   
                 0.2 ≤ T S  &lt; 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 4.449764983 
                 0 
                 −13.78321665 
                 −10.59163435 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.321052632 
                 0 
                 0.309146341 
                 0.303164557 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 0 
                 −3.433673203 
                 −1.746861763 
                 3.363230821 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0 
                 0.283443709 
                 0.237804873 
                 0.293037975 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
                 86.38383552 
                 0 
               
               
                 a TE   (1)   
                 3.853394073 
                 8.758511808 
                 −1.867550529 
                 −15.58616064 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0.007157942 
                 0 
               
               
                 c TE   
                 0.181578947 
                 0.135430464 
                 0.356097561 
                 0.363291139 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (1)   
                 0.014178515 
                 0.049910217 
                 −0.008697771 
                 0.012742666 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c ψSi   
                 12.63157895 
                 45.99337748 
                 15.09146343 
                 45 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0 
                 0.061867934 
                 0.051566965 
                 0.028929641 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −90 
                 −50.59502649 
                 −50.30487005 
                 −50.55982025 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 −103.0440888 
               
               
                 d TLTTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTψSi   
                 −0.181721459 
                 0 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 −0.608943868 
               
               
                 d TSTE   
                 0 
                 113.1914268 
                 −75.04640382 
                 −82.04954672 
               
               
                 d TSψSi   
                 0 
                 0 
                 −0.554356722 
                 0.673316097 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 −0.512800103 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
                 −0.656702553 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 e 
                 −2.401219798 
                 −3.18651044 
                 −3.93030224 
                 −4.143483981 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 −15.448 
                 −15.448 
                 −15.448 
                 −15.448 
               
               
                 d TP   
                 −2.9186 
                 −2.9188 
                 −2.9186 
                 −2.9188 
               
               
                 f TP   
                 1.0599 
                 1.0599 
                 1.0599 
                 1.0599 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 61 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −16.39135605 
                 −1639135605 
               
               
                 b TLT   (2)   
                 0 
                 0 
               
               
                 c TLT   
                 0.196774194 
                 0.1967741941 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 −4.824831305 
                 −4.824831305 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.170967742 
                 0.170967142 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
               
               
                 a TE   (2)   
                 −45.57608817 
                 −45.57608817 
               
               
                 a TE   (1)   
                 −10.80005563 
                 −10.80005563 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.018296046 
                 0.018296046 
               
               
                 c TE   
                 0.303225806 
                 0.303225806 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0.000172048 
                 0.000172048 
               
               
                 a ψSi   (2)   
                 −0.00384923 
                 −0.00384923 
               
               
                 a ψSi   (1)   
                 −0.009826773 
                 −0.009826773 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 143.0843208 
                 143.0843208 
               
               
                 b ψSi   (2)   
                 215.8688866 
                 215.8688866 
               
               
                 c ψSi   
                 22.25806452 
                 22.25806452 
               
               
                 a θLT   (2)   
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.066799879 
                 0.066799879 
               
               
                 b θLT   (2)   
                 0 
                 0 
               
               
                 c θLT   
                 −50.16129032 
                 −50.16129032 
               
               
                 d TLTTS   
                 0 
                 0 
               
               
                 d TLTTE   
                 −112.847682 
                 −112.847682 
               
               
                 d TLTψSi   
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
               
               
                 d TSψSi   
                 −1.750763196 
                 −1.7507631961 
               
               
                 d TSθLT   
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
               
               
                 d TEθLT   
                 0.466692151 
                 0.466692151 
               
               
                 d ψSiθLT   
                 0 
                 0 
               
               
                 e 
                 −2.904746788 
                 −2.904746788 
               
               
                 a TP   
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 62 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −8.135537689 
                 −8.135537689 
               
               
                 b TLT   (2)   
                 0 
                 0 
               
               
                 c TLT   
                 0.311659193 
                 0.311659193 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 −20.38200262 
                 −20.38200282 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.149327354 
                 0.149327354 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
               
               
                 a TE   (1)   
                 −3.460675692 
                 −3.460675692 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
               
               
                 c TE   
                 0.267488789 
                 0.267488789 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 −0.003758233 
                 −0.003759233 
               
               
                 a ψSi   (1)   
                 0.015931998 
                 0.015931998 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 239.0395946 
                 239.0395946 
               
               
                 c ψSi   
                 18.90134529 
                 18.90134529 
               
               
                 a θLT   (2)   
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.017576249 
                 0.017576249 
               
               
                 b θLT   (2)   
                 0 
                 0 
               
               
                 c θLT   
                 −49.9103139 
                 −49.9103139 
               
               
                 d TLTTS   
                 −152.1817236 
                 −152.1817236 
               
               
                 d TLTTE   
                 0 
                 0 
               
               
                 d TLTψSi   
                 −0.359387178 
                 −0.359387178 
               
               
                 d TLTθLT   
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
               
               
                 d TSθLT   
                 0.911415415 
                 0.911415415 
               
               
                 d TEψSi   
                 0 
                 0 
               
               
                 d TEθLT   
                 0.275815872  
                 0.275815872 
               
               
                 d ψSiθLT   
                 0 
                 0 
               
               
                 e 
                 −3.952626598 
                 −3.952626598 
               
               
                 a TP   
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.311 
               
               
                 d TP   
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 3.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 63 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −26.36951471 
                 −26.36951471 
               
               
                 b TLT   (2)   
                 0 
                 0 
               
               
                 c TLT   
                 0.161538462 
                 0.161538462 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 −10.09828536 
                 −10.09828536 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.321025641 
                 0.321025641 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
               
               
                 a TE   (2)   
                 −21.38297597 
                 −21.38297597 
               
               
                 a TE   (1)   
                 −2.383287449 
                 −2.383287449 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.01947666 
                 0.01947666 
               
               
                 c TE   
                 0.270512821 
                 0.270512821 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0.000176024 
                 0.000176024 
               
               
                 a ψSi   (2)   
                 −0.001397911 
                 −0.001397911 
               
               
                 a ψSi   (1)   
                 −0.107515297 
                 −0.107515297 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 −282.3623122 
                 −282.3623122 
               
               
                 b ψSi   (2)   
                 255.2071006 
                 255.2071006 
               
               
                 c ψSi   
                 23.84615385 
                 23.84615385 
               
               
                 a θLT   (2)   
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.085112984 
                 0.085112984 
               
               
                 b θLT   (2)   
                 0 
                 0 
               
               
                 c θLT   
                 −48.97435897 
                 −48.97435897 
               
               
                 d TLTTS   
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
               
               
                 d TLTψSi   
                 −0.816828716 
                 −0.816828716 
               
               
                 d TLTθLT   
                 0.865519967 
                 0.865519967 
               
               
                 d TSTE   
                 0 
                 0 
               
               
                 d TSψSi   
                 −0.538336559 
                 −0.538336559 
               
               
                 d TSθLT   
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0.002971652 
                 0.002971652 
               
               
                 e 
                 −3.504362202 
                 −3.504362202 
               
               
                 a TP   
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 64 
               
             
            
               
                   
               
               
                   
                 Si(100) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
               
                   
               
            
           
           
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −6.371850196 
                 −6.371850196 
               
               
                 b TLT   (2)   
                 0 
                 0 
               
               
                 c TLT   
                 0.292192192 
                 0.292192192 
               
               
                 a TS   (2)   
                 0 
                 0 
               
               
                 a TS   (1)   
                 −0.609606885 
                 −0.609606885 
               
               
                 b TS   (2)   
                 0 
                 0 
               
               
                 c TS   
                 0.2996997 
                 0.2996997 
               
               
                 a TE   (4)   
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
               
               
                 a TE   (1)   
                 0 
                 0 
               
               
                 b TE   (4)   
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
               
               
                 c TE   
                 0 
                 0 
               
               
                 a ψSi   (6)   
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0.000224133 
                 0.000224133 
               
               
                 a ψSi   (2)   
                 −0.00404832 
                 −0.004048532 
               
               
                 a ψSi   (1)   
                 −0.126847922 
                 −0.126847922 
               
               
                 b ψSi   (6)   
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 1375.85979 
                 1375.85979 
               
               
                 b ψSi   (2)   
                 281.2555799 
                 281.2555799 
               
               
                 c ψSi   
                 19.77477477 
                 19.77477477 
               
               
                 a θLT   (2)   
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.056146223 
                 0.056146223 
               
               
                 b θLT   (2)   
                 0 
                 0 
               
               
                 c θLT   
                 −49.48948949 
                 −49.48948949 
               
               
                 d TLTTS   
                 94.47145497 
                 94.47145497 
               
               
                 d TLTTE   
                 0 
                 0 
               
               
                 d TLTψSi   
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
               
               
                 d TSθLT   
                 −0.568942451 
                 −0.568942451 
               
               
                 d TEψSi   
                 0 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0.005654813 
                 0.005654813 
               
               
                 θ 
                 −4.940340284 
                 −4.940340284 
               
               
                 a TP   
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 65 
               
             
            
               
                   
               
               
                   
                 Si(110) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −11.04825287 
                 −11.04825287 
                 −11.04825287 
                 −11.04825287 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.164705882 
                 0.164705882 
                 0.164705882 
                 0.164705882 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 −12.86806521 
                 −12.86806521 
                 −12.86806521 
                 −12.86806521 
               
               
                 a TE   (1)   
                 39.88235294 
                 39.88235294 
                 39.88235294 
                 39.88235294 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.019258131 
                 0.019258131 
                 0.019258131 
                 0.019258131 
               
               
                 c TE   
                 0.286470588 
                 0.286470588 
                 0.286470588 
                 0.286470588 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 −0.000762445 
                 −0.000762445 
                 −0.000762445 
                 −0.000762445 
               
               
                 a ψSi   (1)   
                 −0.031584918 
                 −0.031584918 
                 −0.031584918 
                 −0.031584918 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 749.7716263 
                 749.7716263 
                 749.7716263 
                 749.7716263 
               
               
                 c ψSi   
                 52.58823529 
                 52.58823529 
                 52.58823529 
                 52.58823529 
               
               
                 a θLT   (2)   
                 −0.004115091 
                 −0.004115091 
                 −0.004115091 
                 −0.004115091 
               
               
                 a θLT   (1)   
                 0.023260981 
                 0.023260981 
                 0.023260981 
                 0.023260981 
               
               
                 b θLT   (2)   
                 81.16262976 
                 81.16262976 
                 81.16262976 
                 81.16262976 
               
               
                 c θLT   
                 −50.11764706 
                 −50.11764706 
                 −50.11764706 
                 −50.11764706 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTTE   
                 −32.35244505 
                 −32.35244505 
                 −32.35244505 
                 −32.35244505 
               
               
                 d TLTψSi   
                 0.348515389 
                 0.348515389 
                 0.348515389 
                 0.348515389 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0.000823202 
                 0.000823202 
                 0.000823202 
                 0.000823202 
               
               
                 θ 
                 −1.678155024 
                 −1.678155024 
                 −1.678155024 
                 −1.678155024 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 66 
               
             
            
               
                   
               
               
                   
                 Si(110) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 34.01092867 
                 34.01092867 
               
               
                 a TLT   (1)   
                 −3.294448859 
                 −3.294448859 
                 −2.996122319 
                 −2.996122319 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0.005572031 
                 0.005572031 
               
               
                 c TLT   
                 0.328378378 
                 0.328378378 
                 0.31344086 
                 0.31344086 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 2.752851676 
                 2.752851676 
                 −1.564359965 
                 −1.564359965 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.162837838 
                 0.162837838 
                 0.160752688 
                 0.160752688 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (1)   
                 −4.548790211 
                 −4.548790211 
                 −1.370514553 
                 −1.370514553 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TE   
                 0.165540541 
                 0.165540541 
                 0.355913978 
                 0.355913978 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 −7.03888E−08 
                 −7.03888E−08 
                 −3.78178E−08 
                 −3.78178E−08 
               
               
                 a ψSi   (4)   
                    1.426E−06 
                    1.426E−06 
                  9.79065E−07 
                  9.79065E−07 
               
               
                 a ψSi   (3)   
                 0.000180358 
                 0.000180358 
                  9.73597E−05 
                  9.73597E−05 
               
               
                 a ψSi   (2)   
                 −0.002681874 
                 −0.002681874 
                 −0.00192926 
                 −0.00192926 
               
               
                 a ψSi   (1)   
                 −0.92266284 
                 −0.92266284 
                 −0.04329175 
                 −0.04329175 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 11701030.08 
                 11701030.08 
                 24265475.25 
                 24265475.25 
               
               
                 b ψSi   (4)   
                 1439156.296 
                 1439156.296 
                 1705613.393 
                 1705613.393 
               
               
                 b ψSi   (3)   
                 1798.436559 
                 1798.436559 
                 6938.899332 
                 6938.899332 
               
               
                 b ψSi   (2)   
                 930.5183985 
                 930.5183985 
                 1060.880593 
                 1060.880593 
               
               
                 c ψSi   
                 40.2364649 
                 40.2364649 
                 40.08064516 
                 40.08064516 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.046000242 
                 0.046000242 
                 0.001380272 
                 0.001380272 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −49.52702703 
                 −49.52702703 
                 −50.05376344 
                 −50.05376344 
               
               
                 d TLTTS   
                 −136.9978702 
                 −136.9978702 
                 −73.06084164 
                 −73.06084164 
               
               
                 d TLTTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0.096651605 
                 0.096651605 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
                 −56.78924979 
                 −56.78924979 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0.081014811 
                 0.081014811 
                 0 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
                 −0.194432704 
                 −0.194432704 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0.000875955 
                 0.000875955 
               
               
                 θ 
                 −2.543790382 
                 −2.543790382 
                 −2.964933907 
                 −2.964933907 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 67 
               
             
            
               
                   
               
               
                   
                 Si(110) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −13.1565646 
                 −13.1565646 
                 −13.1565646 
                 −13.1565646 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.179661017 
                 0.179661017 
                 0.179661017 
                 0.179661017 
               
               
                 a TS   (2)   
                 −54.97015257 
                 −54.97015257 
                 −54.97015257 
                 −54.97015257 
               
               
                 a TS   (1)   
                 1.195559996 
                 1.195559996 
                 1.195559996 
                 1.195559996 
               
               
                 b TS   (2)   
                 0.006496856 
                 0.006496856 
                 0.006496856 
                 0.006496856 
               
               
                 c TS   
                 0.299435028 
                 0.299435028 
                 0.299435028 
                 0.299435028 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 −12.83875925 
                 −12.83875925 
                 −12.83875925 
                 −12.83875925 
               
               
                 a TE   (1)   
                 −2.591177902 
                 −2.591177902 
                 −2.591177902 
                 −2.591177902 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.02062115 
                 0.02062115 
                 0.02062115 
                 0.02062115 
               
               
                 c TE   
                 0.282768362 
                 0.282768362 
                 0.282768362 
                 0.282768362 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 −0.00094978 
                 −0.00094978 
                 −0.00094978 
                 −0.00094978 
               
               
                 a ψSi   (1)   
                 −0.016861509 
                 −0.016861509 
                 −0.016861509 
                 −0.016861509 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 −0.00094978 
                 −0.00094978 
                 −0.00094978 
                 −0.00094978 
               
               
                 c ψSi   
                 44.83050847 
                 44.83050847 
                 44.83050847 
                 44.83050847 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.020120147 
                 0.020120147 
                 0.020120147 
                 0.020120147 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −50.50847458 
                 −50.50847458 
                 −50.50847458 
                 −50.50847458 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTψSi   
                 0.250474306 
                 0.250474306 
                 0.250474306 
                 0.250474306 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0.031071552 
                 0.031071552 
                 0.031071552 
                 0.031071552 
               
               
                 d TEθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 θ 
                 −1.687640015 
                 −1.687640015 
                 −1.687640015 
                 −1.687640015 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 68 
               
             
            
               
                   
               
               
                   
                 Si(110) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
                 0 ≤ ψ Si  &lt; 45 
                 45 ≤ ψ Si  ≤ 90 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −8.387315737 
                 −8.387315737 
                 −11.34973266 
                 −6.017883428 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.313377926 
                 0.313377926 
                 0.291082803 
                 0.294578313 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 0.140898252 
                 0.140898252 
                 3.107378473 
                 2.287606243 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.299331104 
                 0.299331104 
                 0.277707006 
                 0.296385542 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (1)   
                 −1.209727849 
                 −1.209727849 
                 −4.259242642 
                 −1.280235687 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TE   
                 0.152006689 
                 0.152006689 
                 0.343630573 
                 0.351204819 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 −2.33027E−08 
                 −2.33027E−08 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                  7.78115E−07 
                  7.78115E−07 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                  5.59108E−05 
                  5.59108E−05 
                 −0.000194818 
                 0 
               
               
                 a ψSi   (2)   
                 −0.002410767 
                 −0.002410767 
                 0.000247924 
                 0 
               
               
                 a ψSi   (1)   
                 −0.027662563 
                 −0.027662563 
                 0.12904143 
                 −0.026766472 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 2083705.649 
                 2083705.649 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 1386257.115 
                 1386257.115 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 −1267.413434 
                 −1267.413434 
                 1811.750092 
                 0 
               
               
                 b ψSi   (2)   
                 895.5856198 
                 895.5856198 
                 293.105197 
                 0 
               
               
                 c ψSi   
                 42.14046823 
                 42.14046823 
                 19.39490446 
                 67.95180723 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.020067585 
                 0.020067585 
                 −0.011988832 
                 0.032566601 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −49.73244147 
                 −49.73244147 
                 −49.61783439 
                 −50.96385542 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
                 0 
                 41.29194486 
               
               
                 d TLTψSi   
                 0 
                 0 
                 −0.203585177 
                 0.376881254 
               
               
                 d TLTθLT   
                 0 
                 0 
                 −0.273779971 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 −0.20937463 
               
               
                 d TSθLT   
                 −0.349110894 
                 −0.349110894 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEθLT   
                 −0.216865482 
                 −0.216865482 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0.00120304 
                 0 
               
               
                 θ 
                 −2.390757235 
                 −2.390757235 
                 −2.548464154 
                 −2.523994879 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 69 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −3.047618237 
                 −3.047618237 
                 −3.047618237 
                 −3.047618237 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.160869565 
                 0.160869565 
                 0.160869565 
                 0.160869565 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 11.21750437 
                 11.21750437 
                 11.21750437 
                 11.21750437 
               
               
                 a TE   (2)   
                 −3.666215654 
                 −3.666215654 
                 −3.666215654 
                 −3.666215654 
               
               
                 a TE   (1)   
                 −0.035248162 
                 −0.035248162 
                 −0.035248162 
                 −0.035248162 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0.000381688 
                 0.000381688 
                 0.000381688 
                 0.000381688 
               
               
                 b TE   (2)   
                 0.012589792 
                 0.012589792 
                 0.012589792 
                 0.012589792 
               
               
                 c TE   
                 0.245652174 
                 0.245652174 
                 0.245652174 
                 0.245652174 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (1)   
                 −0.003582211 
                 −0.003582211 
                 −0.003582211 
                 −0.003582211 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c ψSi   
                 35.86956522 
                 35.86956522 
                 35.86956522 
                 35.86956522 
               
               
                 a θLT   (2)   
                 −0.000596775 
                 −0.000596775 
                 −0.000596775 
                 −0.000596775 
               
               
                 a θLT   (1)   
                 0.003385783 
                 0.003385783 
                 0.003385783 
                 0.003385783 
               
               
                 b θLT   (2)   
                 77.88279773 
                 77.88279773 
                 77.88279773 
                 77.88279773 
               
               
                 c θLT   
                 −47.82608696 
                 −47.82608696 
                 −47.82608696 
                 −47.82608696 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTTE   
                 −2.939323227 
                 −2.939323227 
                 −2.939323227 
                 −2.939323227 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 −0.000442922 
                 −0.000442922 
                 −0.000442922 
                 −0.000442922 
               
               
                 θ 
                 −0.277577227 
                 −0.277577227 
                 −0.277577227 
                 −0.277577227 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 70 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0 ≤ T S  &lt; 0.2 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 6.03484153 
                 6.03484153 
                 6.03484153 
                 6.03484153 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.183333333 
                 0.183333333 
                 0.183333333 
                 0.183333333 
               
               
                 a TE   (4)   
                 −215.3850281 
                 −215.3850281 
                 −215.3850281 
                 −215.3850281 
               
               
                 a TE   (3)   
                 54.12265846 
                 54.12265846 
                 54.12265846 
                 54.12265846 
               
               
                 a TE   (2)   
                 0.942905209 
                 0.942905209 
                 0.942905209 
                 0.942905209 
               
               
                 a TE   (1)   
                 −1.08045121 
                 −1.08045121 
                 −1.08045121 
                 −1.08045121 
               
               
                 b TE   (4)   
                 0.000339332 
                 0.000339332 
                 0.000339332 
                 0.000339332 
               
               
                 b TE   (3)   
                 0.000317558 
                 0.000317558 
                 0.000317558 
                 0.000317558 
               
               
                 b TE   (2)   
                 0.011265432 
                 0.011265432 
                 0.011265432 
                 0.011265432 
               
               
                 c TE   
                 0.211111111 
                 0.211111111 
                 0.211111111 
                 0.211111111 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (1)   
                 −0.004526908 
                 −0.004526908 
                 −0.004526908 
                 −0.004526908 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c ψSi   
                 27.5 
                 27.5 
                 27.5 
                 27.5 
               
               
                 a θLT   (2)   
                 −0.00046365 
                 −0.00046365 
                 −0.00046365 
                 −0.00046365 
               
               
                 a θLT   (1)   
                 0.005349146 
                 0.005349146 
                 0.005349146 
                 0.005349146 
               
               
                 b θLT   (2)   
                 57.09876543 
                 57.09876543 
                 57.09876543 
                 57.09876543 
               
               
                 c θLT   
                 −46.11111111 
                 −46.11111111 
                 −46.11111111 
                 −46.11111111 
               
               
                 d TLTTS   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 45.80413521 
                 45.80413521 
                 45.80413521 
                 45.80413521 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEθLT   
                 −0.071786246 
                 −0.071786246 
                 −0.071786246 
                 −0.071786246 
               
               
                 d ψSiθLT   
                 −0.000426881 
                 −0.000426881 
                 −0.000426881 
                 −0.000426881 
               
               
                 θ 
                 −0.446604617 
                 −0.446604617 
                 −0.446604617 
                 −0.446604617 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 71 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0 &lt; T LT  &lt; 0.2 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 −2.477108842 
                 −2.477108842 
                 −2.477108842 
                 −2.477108842 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0.137349398 
                 0.137349398 
                 0.137349398 
                 0.137349398 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 −0.488747927 
                 −0.488747927 
                 −0.488747927 
                 −0.488747927 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.336144578 
                 0.336144578 
                 0.336144578 
                 0.336144578 
               
               
                 a TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TE   (2)   
                 −1.973253274 
                 −1.973253274 
                 −1.973253274 
                 −1.973253274 
               
               
                 a TE   (1)   
                 −0.124870592 
                 −0.124870592 
                 −0.124870592 
                 −0.124870592 
               
               
                 b TE   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TE   (2)   
                 0.017915517 
                 0.017915517 
                 0.017915517 
                 0.017915517 
               
               
                 c TE   
                 0.256024096 
                 0.256024096 
                 0.256024096 
                 0.256024096 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                  7.6083E−07 
                  7.6083E−07 
                  7.6083E−07 
                  7.6083E−07 
               
               
                 a ψSi   (3)   
                 7.21121E−06 
                 7.21121E−06 
                 7.21121E−06 
                 7.21121E−06 
               
               
                 a ψSi   (2)   
                 −0.000857107 
                 −0.000857107 
                 −0.000857107 
                 −0.000857107 
               
               
                 a ψSi   (1)   
                 −0.00490823 
                 −0.00490823 
                 −0.00490823 
                 −0.00490823 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 105622.9088 
                 105622.9088 
                 105622.9088 
                 105622.9088 
               
               
                 b ψSi   (3)   
                 −217.2019476 
                 −217.2019476 
                 −217.2019476 
                 −217.2019476 
               
               
                 b ψSi   (2)   
                 208.4409929 
                 208.4409929 
                 208.4409929 
                 208.4409929 
               
               
                 c ψSi   
                 30.54216867 
                 30.54216867 
                 30.54216867 
                 30.54216867 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −90 
                 −90 
                 −90 
                 −90 
               
               
                 d TLTTS   
                 4.821777856 
                 4.821777856 
                 4.821777856 
                 4.821777856 
               
               
                 d TLTTE   
                 −4.14067246 
                 −4.14067246 
                 −4.14067246 
                 −4.14067246 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0.024454063 
                 0.024454063 
                 0.024454063 
                 0.024454063 
               
               
                 d TEθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 θ 
                 −0.240178915 
                 −0.240178915 
                 −0.240178915 
                 −0.240178915 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
             
               
                 TABLE 72 
               
             
            
               
                   
               
               
                   
                 Si(111) 
               
               
                   
                 0.2 ≤ T LT  ≤ 3.5 
               
               
                   
                 0.2 ≤ T S  ≤ 2.0 
               
            
           
           
               
               
               
            
               
                   
                 0.05 ≤ T E  &lt; 0.25 
                 0.25 ≤ T E  ≤ 0.45 
               
            
           
           
               
               
               
               
               
            
               
                   
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
                 0 ≤ ψ Si  &lt; 30 
                 30 ≤ ψ Si  ≤ 60 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 a TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TLT   (1)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a TS   (1)   
                 0.380779889 
                 0.380779889 
                 0.380779889 
                 0.380779889 
               
               
                 b TS   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TS   
                 0.285294118 
                 0.285294118 
                 0.285294118 
                 0.285294118 
               
               
                 a TE   (4)   
                 −165.3225345 
                 −165.3225345 
                 −165.3225345 
                 −165.3225345 
               
               
                 a TE   (3)   
                 23.65923214 
                 23.65923214 
                 23.65923214 
                 23.65923214 
               
               
                 a TE   (2)   
                 2.256295059 
                 2.256295059 
                 2.256295059 
                 2.256295059 
               
               
                 a TE   (1)   
                 −0.292409126 
                 −0.292409126 
                 −0.292409126 
                 −0.292409126 
               
               
                 b TE   (4)   
                 0.00051583 
                 0.00051583 
                 0.00051583 
                 0.00051583 
               
               
                 b TE   (3)   
                 0.00070344 
                 0.00070344 
                 0.00070344 
                 0.00070344 
               
               
                 b TE   (2)   
                 0.015017301 
                 0.015017301 
                 0.015017301 
                 0.015017301 
               
               
                 c TE   
                 0.220588235 
                 0.220588235 
                 0.220588235 
                 0.220588235 
               
               
                 a ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a ψSi   (1)   
                 −0.004846255 
                 −0.004846255 
                 −0.004846255 
                 −0.004846255 
               
               
                 b ψSi   (6)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (5)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (4)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (3)   
                 0 
                 0 
                 0 
                 0 
               
               
                 b ψSi   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c ψSi   
                 29.55882353 
                 29.55882353 
                 29.55882353 
                 29.55882353 
               
               
                 a θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 a θLT   (1)   
                 0.00165846 
                 0.00165846 
                 0.00165846 
                 0.00165846 
               
               
                 b θLT   (2)   
                 0 
                 0 
                 0 
                 0 
               
               
                 c θLT   
                 −48.52941176 
                 −48.52941176 
                 −48.52941176 
                 −48.52941176 
               
               
                 d TLTTS   
                 −0.04933649 
                 −0.04933649 
                 −0.04933649 
                 −0.04933649 
               
               
                 d TLTTE   
                 −0.021023839 
                 −0.021023839 
                 −0.021023839 
                 −0.021023839 
               
               
                 d TLTψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TLTθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSTE   
                 −7.074776252 
                 −7.074776252 
                 −7.074776252 
                 −7.074776252 
               
               
                 d TSψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TSθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEψSi   
                 0 
                 0 
                 0 
                 0 
               
               
                 d TEθLT   
                 0 
                 0 
                 0 
                 0 
               
               
                 d ψSiθLT   
                 −0.00049898 
                 −0.00049898 
                 −0.00049898 
                 −0.00049898 
               
               
                 θ 
                 −0.3405485 
                 −0.3405485 
                 −0.3405485 
                 −0.3405485 
               
               
                 a TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 b TP   
                 0 
                 0 
                 0 
                 0 
               
               
                 c TP   
                 19.811 
                 19.811 
                 19.811 
                 19.811 
               
               
                 d TP   
                 −11.953 
                 −11.953 
                 −11.953 
                 −11.953 
               
               
                 f TP   
                 1.1978 
                 1.1978 
                 1.1978 
                 1.1978 
               
               
                   
               
            
           
         
       
     
     The inventors of preferred embodiments of the present application variously changed the design parameters T LT , θ LT , T S , T E , T P , ψ Si  and T Si , and determined how the intensity of the response becoming the spurious response A, B, or C changed. 
     Note that the absolute value of S 11  was calculated as the intensity of the response of the spurious response when the above parameters were changed. The smaller the value of the absolute value of S 11  in decibel is, the greater the intensity of the response of the spurious response is. When calculating S 11 , the overlap width of the electrode fingers was 20λ and the number of pairs of the electrode fingers was 94 pairs, and S 11  was obtained with the one pair electrode finger model of the two-dimensional finite element method. 
     Note that the IDT electrode has a structure in which the metal films were laminated in the order of Ti/Pt/Ti/Al from the lithium tantalate film side. The thickness of the IDT electrode was changed by varying the thickness of the Pt film. Further, the wavelength normalized film thickness T E  of the IDT electrode was calculated as the wavelength normalized film thickness in terms of aluminum thickness, using the mass of the entire IDT electrode estimated from the density of each metal film. 
     Spurious Response A 
     The acoustic wave resonator having the admittance characteristic shown in  FIG. 2  is used as the reference structure.  FIG. 3  to  FIG. 8  are diagrams describing changes in the intensity S 11  of the response of the spurious response A when the respective parameters are changed with respect to the reference structure. As described in  FIG. 3 , the intensity S 11  of the response of the spurious response A changes when the propagation direction in the single crystal Si layer ψ Si  is changed within the range from about 0° to about 45° with respect to the reference structure. 
     Similarly, as described in  FIG. 4 , the intensity S 11  of the response of the spurious response A also changes when the wavelength normalized film thickness T LT  of the lithium tantalate film is changed. 
     Further, as described in  FIG. 5 , the intensity S 11  of the response of the spurious response A also changes when the cut angle (90°−θ LT ) of the lithium tantalate film is changed. 
     As described in  FIG. 6 , the intensity S 11  of the response of the spurious response A also changes when the wavelength normalized film thickness T S  of the SiO 2  film is changed. 
     As described in  FIG. 7 , the intensity S 11  of the response of the spurious response A also changes when the wavelength normalized film thickness T E , which is the thickness of the IDT electrode in terms of aluminum, is changed. 
     As described in  FIG. 8 , the intensity S 11  of the response of the spurious response A changes when the wavelength normalized film thickness T P  of the protection film defined by a silicon oxide film is changed. 
     From  FIG. 3  to  FIG. 8 , it is understood that the intensity of the response of the spurious response A may be adjusted by changing the parameters above. That is, by selecting the values of the parameters described above, the intensity of the response of the spurious response A may be reduced while maintaining the response of the main mode. 
     The inventors of preferred embodiments of the present application have discovered that I h  corresponding to the intensity of the response of the spurious response may be obtained by Formula (1) and the coefficients a, b, c, d, e, and f in Table 37 to Table 48, from the calculation results in  FIG. 3  to  FIG. 8  and the like. 
     The coefficients in Formula (1) have been discovered to be values described in Table 37 to Table 48 in accordance with the crystal orientation of the single crystal Si layer, the respective ranges of the wavelength normalized film thickness T LT  of the lithium tantalate film, the Euler angle θ LT  of the lithium tantalate film, the wavelength normalized film thickness T S  of the SiO 2  film, the wavelength normalized film thickness T E  of the IDT electrode, and the wavelength normalized film thickness T P  of the protection film, and the propagation direction ψ Si  in the single crystal Si layer. Thus, the conditions of TIT, θ LT , T S , T E , T P , and ψ Si , where I h1  corresponding to the intensity of the response of the spurious response A is greater than about −2.4 are determined. 
     In the composite filter device in which the plurality of acoustic wave filters are connected at one end, the intensity of the response of the spurious response is required to be greater than about −2.4 dB in S 11 . This is to make the influence negligible on the bandpass characteristic of another acoustic wave filter other than one acoustic wave filter. Typically, the ripple appearing in the pass band is required to be equal to or greater than about −0.8 dB from the viewpoint of ensuring the reception sensitivity in a mobile phone or the like. Meanwhile, it has been known that when the spurious response is present in the pass band of another acoustic wave filter, a ripple of approximately ⅓ of the intensity of the response of the spurious response is generated in the pass band of another filter. Accordingly, in order to make the ripple in the pass band equal to or greater than about −0.8 dB, the intensity S 11  of the response of the spurious response may be set to be greater than about −2.4 dB. 
     With I h  for the spurious response A, the inequality I h &gt;about −2.4 is satisfied, and thus it is possible to effectively reduce or prevent the influence by the response of the spurious response A on the pass band of another acoustic wave filter. This will be described with reference to  FIG. 9  to  FIG. 12 . 
       FIG. 9  is a circuit diagram of a composite filter device according to a preferred embodiment of the present invention. In a composite filter device  10 , a first acoustic wave filter  11  to a fourth acoustic wave filter  14  are connected in common on an antenna terminal  15  side.  FIG. 10  is a circuit diagram of the first acoustic wave filter  11 . The first acoustic wave filter  11  includes a plurality of series arm resonators S 1  to S 3  and a plurality of parallel arm resonators P 1  and P 2 . That is, the first acoustic wave filter  11  is a ladder filter, for example. The series arm resonators S 1  to S 3  and the parallel arm resonators P 1  and P 2  are defined by the acoustic wave device  1  according to the preferred embodiment described above. 
     Note that, in the present invention, the circuit configuration of the acoustic wave filter including the acoustic wave device according to a preferred embodiment of the present invention is not limited thereto. For example, an acoustic wave filter including a longitudinally coupled resonator acoustic wave filter may be employed. In this case, the longitudinally coupled resonator acoustic wave filter may be an acoustic wave device according to a preferred embodiment of the present invention. Alternatively, the acoustic wave resonator connected to the longitudinally coupled resonator acoustic wave filter may be defined by an acoustic wave device according to a preferred embodiment of the present invention. 
     Note that the pass bands of the first acoustic wave filter  11  to the fourth acoustic wave filter  14  are referred to as a first pass band to a fourth pass band. 
     The first pass band is on the lowest frequency side, and the pass band is higher in the order of the second pass band, the third pass band, and the fourth pass band. That is, the pass bands satisfy the relation, first pass band&lt;second pass band&lt;third pass band&lt;fourth pass band. 
     For a comparison, a composite filter device of a comparative example was prepared in which the first acoustic wave filter was configured in the same manner as in the preferred embodiment of the preferred embodiment described above, except that the acoustic wave resonator of the reference structure was used.  FIG. 11A  describes a filter characteristic of a first acoustic wave filter and a second acoustic wave filter in the composite filter device of the comparative example. The solid line indicates a filter characteristic of the first acoustic wave filter, and the dashed line indicates a filter characteristic of the second acoustic wave filter. A large ripple appears in the second pass band. This is because a large response appears due to the spurious response A of the acoustic wave resonator used in the first acoustic wave filter. 
       FIG. 11B  is a graph showing the filter characteristic of the composite filter device according to a preferred embodiment of the present invention. The solid line indicates a filter characteristic of the first acoustic wave filter, and the dashed line indicates a filter characteristic of the second acoustic wave filter. Here, the first acoustic wave filter is defined by the acoustic wave device of the preferred embodiment described above. Accordingly, no large ripple appears in the second pass band. That is, no large ripple appears in the pass band of the second acoustic wave filter being another filter. Thus, the deterioration of the filter characteristic in the second acoustic wave filter is less likely to occur. 
     As described above, in the composite filter device according to the present preferred embodiment, the response of the spurious response A is reduced or prevented in the acoustic wave filter defined by the acoustic wave device according to the preferred embodiment of the present invention described above. Thus, it is possible to effectively reduce or prevent the deterioration of the filter characteristic of another acoustic wave filter having a higher pass band relative to the pass band of the one acoustic wave filter. 
       FIG. 12  is a graph showing the relationship between the wavelength normalized film thickness of the single crystal Si layer  2  and the intensity S 11  of the response of spurious responses A, B, and C. As is apparent from  FIG. 12 , the intensity of the response of each of spurious responses A, B, and C may be more effectively reduced or prevented when the inequality T Si &gt;about 20 is satisfied. 
     Spurious Response B 
       FIG. 13  is a graph showing the relationship between the propagation direction ψ Si  in the single crystal Si layer and the intensity S 11  of the response of the spurious response B. As is apparent from  FIG. 13 , the intensity S 11  of the response of the spurious response B changes when ψ Si  is changed. Similarly, as described in  FIG. 14 , the intensity S 11  of the response of the spurious response B also changes when the wavelength normalized film thickness T LT  of the lithium tantalate film is changed. As described in  FIG. 15 , the intensity S 11  of the response of the spurious response B also changes when the cut angle (90°−θ LT ) of the lithium tantalate film is changed. As described in  FIG. 16 , the intensity S 11  of the response of the spurious response B also changes when the wavelength normalized film thickness T S  of the SiO 2  film is changed. Further, as described in  FIG. 17 , the intensity S 11  of the response of the spurious response B also changes when the wavelength normalized film thickness T E  of the IDT electrode in terms of aluminum is changed. 
     Still further, as described in  FIG. 18 , the intensity S 11  of the response of the spurious response B also changes when the wavelength normalized film thickness T P  of the protection film being a silicon oxide film is changed. 
     The coefficient values in Formula (1) for expressing I h2  corresponding to the intensity of the response of the spurious response B were obtained from the calculation results in  FIG. 13  to  FIG. 18  and the like as in the case of the spurious response A. I h2  corresponding to the intensity of the response of the spurious response B may be expressed when the coefficients in Formula (1) are determined as in Table 49 to Table 60 described above in accordance with the orientation (100), (110), or (111) of the single crystal Si layer, the respective ranges of the wavelength normalized film thickness T LT  of the lithium tantalate film, the Euler angle θ LT  of the lithium tantalate film, the wavelength normalized film thickness T S  of the SiO 2  film, the wavelength normalized film thickness T E  of the IDT electrode, the wavelength normalized film thickness T P  of the protection film, and the propagation direction ψ Si . The response of the spurious response B may be made sufficiently small by determining the conditions of T LT , θ LT  T S , T E , T P , and ψ Si  that make I h2  greater than about −2.4, and by making the inequality T Si &gt;about 20 be satisfied. 
     Spurious Response C 
       FIG. 19  is a graph showing the relationship between the propagation direction ψ Si  in the single crystal Si layer and the intensity S 11  of the response of the spurious response C. As is apparent from  FIG. 19 , the intensity S 11  of the response of the spurious response C changes when ψ Si  is changed. Similarly, as described in  FIG. 20 , the intensity S 11  of the response of the spurious response C also changes when the wavelength normalized film thickness T LT  of the lithium tantalate film is changed. As described in  FIG. 21 , the intensity S 11  of the response of the spurious response C changes when the cut angle (90°−θ LT ) of the lithium tantalate film is changed. As described in  FIG. 22 , the intensity S 11  of the response of the spurious response C also changes when the wavelength normalized film thickness T S  of the SiO 2  film is changed. Further, as described in  FIG. 23 , the intensity S 11  of the response of the spurious response C also changes when the wavelength normalized film thickness T E  of the IDT electrode in terms of aluminum is changed. 
     Still further, as described in  FIG. 24 , the intensity S 11  of the response of the spurious response C also changes when the wavelength normalized film thickness T P  of the protection film being a silicon oxide film is changed. 
     The coefficient values in Formula (1) for expressing I h3  corresponding to the intensity of the response of the spurious response C were obtained from  FIG. 19  to  FIG. 24  and the like. That is, I h3  corresponding to the intensity of the response of the spurious response C may be expressed when the coefficients in Formula (1) are determined as in Table 61 to Table 72 described above in accordance with Si (100), (110), or (111), further, the respective ranges of the wavelength normalized film thickness T LT  of the lithium tantalate film, the Euler angle θ LT  of the lithium tantalate film, the wavelength normalized film thickness T S  of the SiO 2  film, the wavelength normalized film thickness T E  of the IDT electrode, the wavelength normalized film thickness T P  of the protection film, and the propagation direction ψ Si . The response of the spurious response C may be made sufficiently small by determining the conditions of T LT , θ LT , T S , T E , T P , and ψ Si  that make I h3  greater than about −2.4, and by making the inequality T Si &gt;about 20 be satisfied. 
     Preferably, the inequality I h &gt;about −2.4 is satisfied for all of the spurious responses A, B, and C. In this case, it is possible to effectively reduce or prevent the influence of the spurious responses A, B, and C on another acoustic wave filter. Alternatively, I h  for the spurious response A and the spurious response B, I h  for the spurious response A and the spurious response C, or I h  for the spurious response B and the spurious response C may satisfy the inequality I h &gt;about −2.4. In this case, it is possible to reduce or prevent the influence of two of the spurious responses A, B, and C. 
     Thickness of Lithium Tantalate Film 
     With the structures of preferred embodiments of the present invention, as described above, the spurious response tends to be confined in a portion where the SiO 2  film  3  and the lithium tantalate film  4  are laminated. However, the spurious response is less likely to be confined by making the thickness of the lithium tantalate film  4  equal to or less than about 3.5λ, for example, since the laminated portion of the SiO 2  film  3  and the lithium tantalate film  4  becomes thin. 
     More preferably, the film thickness of the lithium tantalate film  4  is equal to or less than about 2.5λ, for example, and in this case, the absolute value of the frequency temperature coefficient TCF may be made small. Further, preferably, the film thickness of the lithium tantalate film  4  is equal to or less than about 1.5λ, for example. In this case, the electromechanical coupling coefficient may easily be adjusted. Further, more preferably, the film thickness of the lithium tantalate film  4  is equal to or less than about 0.5λ, for example. In this case, the electromechanical coupling coefficient may be easily adjusted in a wide range. 
     Note that in Formula (1) described above: 
     a) The range of ψ Si  is 0°≤ψ Si ≤45° when Si (100) having the Euler angles (φ Si =0°±5°, θ Si =0°±5°, ψ Si ) is preferably used. Meanwhile, due to the symmetricity of the crystal structure of Si (100), ψ Si  and ψ Si ±(n×90°) are synonymous with each other (note that n=1, 2, 3 . . . ). Similarly, ψ Si  and −ψ Si  are synonymous with each other; 
     b) The range of ψ Si  is 0°≤ψ Si ≤90° when Si (110) having the Euler angles (φ Si =−45°±5°, θ Si =−90°±5°, ψ Si ) is used. Meanwhile, due to the symmetricity of the crystal structure of Si (110), ψ Si  and ψ Si ±(n×180°) are synonymous with each other (note that n=1, 2, 3 . . . ). Similarly, ψ Si  and ψ Si  are synonymous with each other; and 
     C) The range of ψ Si  is 0° about 60° when Si (111) having the Euler angles (φ Si =−45°±5°, θ Si =−54.73561°±5°, ψ Si ) is used. Meanwhile, due to the symmetricity of the crystal structure of Si (111), ψ Si  and ψ Si ±(n×120°) are synonymous with each other (note that n=1, 2, 3 . . . ). 
     Further, although the range of θ LT  is set to −180°&lt;θ LT  about 0°, θ LT  and θ LT +180° may be treated as synonymous with each other. 
     In the present description, for example, when the Euler angles (within the range of 0°±5°, θ, within the range of 0°±15°) is cited, “within the range of 0°±5°” means “within the range of equal to or greater than −5° and equal to or less than +5°”, and “within the range of 0°±15°” means “within the range of equal to or greater than −15° and equal to or less than +15°”. In the present description, for example, “within the range of 0°±5°” may simply be denoted by “0°+5°”. 
       FIG. 25  is a graph showing the relationship between the film thickness of the LiTaO 3  film and the Q characteristic of an acoustic wave device in which a low acoustic velocity film made of SiO 2  film of thickness of about 0.35λ and a piezoelectric film made of lithium tantalate having the Euler angles (0°, 140.0°, 0°) are laminated above a high acoustic velocity support substrate made of silicon. The vertical axis in  FIG. 25  is a product of the Q factor and the fractional bandwidth (Of) of the resonator.  FIG. 26  is a graph showing the relationship between the film thickness of the LiTaO 3  film and the temperature coefficient of frequency TCF.  FIG. 27  is a graph showing the relationship between the film thickness of the LiTaO 3  film and the acoustic velocity. From  FIG. 25 , it is preferable that the film thickness of the LiTaO 3  film be equal to or less than about 3.5λ, for example. In this case, the Q factor becomes higher relative to the case where the film thickness of the LiTaO 3  film exceeds about 3.5λ. More preferably, the film thickness of the LiTaO 3  film is equal to or less than about 2.5λ, for example, in order to further increase the Q factor. 
     From  FIG. 26 , when the film thickness of the LiTaO 3  film is equal to or less than about 2.5λ, the absolute value of the frequency temperature coefficient TCF may be made smaller than in the case where the film thickness of the LiTaO 3  film exceeds about 2.5λ. More preferably, the film thickness of the LiTaO 3  film is equal to or less than about 2λ, for example, and in that case, the absolute value of the frequency temperature coefficient TCF may be made equal to or less than about 10 ppm/° C. In order to reduce the absolute value of the frequency temperature coefficient TCF, it is further preferable that the film thickness of the LiTaO 3  film is reduced to equal to or less than about 1.5λ, for example. 
     From  FIG. 27 , when the film thickness of the LiTaO 3  film exceeds about 1.5λ, the change in the acoustic velocity is extremely small. 
     Meanwhile, as described in  FIG. 28 , the fractional bandwidth changes significantly when the film thickness of the LiTaO 3  film is in the range of equal to or greater than about 0.05λ and equal to or less than about 0.5λ. Accordingly, the electromechanical coupling coefficient may be adjusted in a wider range. In order to widen the adjustment range of the electromechanical coupling coefficient and the fractional bandwidth, therefore, it is preferable that the film thickness of the LiTaO 3  film is in a range of equal to or greater than about 0.05λ and equal to or less than about 0.5λ, for example. 
       FIG. 29  is a graph showing the relationship between the film thickness (λ) of the SiO 2  film and the acoustic velocity, and  FIG. 30  is a graph showing the relationship between the film thickness (λ) of the SiO 2  film and the electromechanical coupling coefficient. Here, each of a silicon nitride film, an aluminum oxide film, and a diamond film was used as the high acoustic velocity film under the low acoustic velocity film made of SiO 2 . The film thickness of the high acoustic velocity film was about 1.5λ. The acoustic velocity of the bulk wave in silicon nitride is about 6000 m/s, the acoustic velocity of the bulk wave in aluminum oxide is about 6000 m/s, and the acoustic velocity of the bulk wave in diamond is about 12800 m/s. As described in  FIG. 29  and  FIG. 30 , the electromechanical coupling coefficient and the acoustic velocity hardly change even when the material of the high acoustic velocity film and the film thickness of the SiO 2  film are changed. In particular, the electromechanical coupling coefficient hardly changes when the film thickness of the SiO 2  film is equal to or greater than about 0.1λ and equal to or less than about 0.5λ regardless of the material of the high acoustic velocity film. Further, from  FIG. 29 , it is discovered that the acoustic velocity does not change when the film thickness of the SiO 2  film is equal to or greater than about 0.3λ and equal to or less than about 2λ, regardless of the material of the high acoustic velocity film. Accordingly, preferably, the film thickness of the low acoustic velocity film made of silicon oxide is equal to or less than about 2λ, and more preferably equal to or less than about 0.5λ, for example. 
       FIG. 31  to  FIG. 33  are partially enlarged front sectional views for describing each of modifications of a preferred embodiment of the present invention in which the thickness of the protection film is partially different in the acoustic wave resonator. In each modification illustrated in  FIG. 31  to  FIG. 33 , the protection film  8  covers the lithium tantalate film  4 , and the upper surface and the side surfaces of an electrode finger  5   a  of the IDT electrode  5 . In the modification illustrated in  FIG. 31 , the thickness of the protection film  8  covering the side surfaces of the electrode finger  5   a  is smaller than the thickness of the protection film  8  covering the upper surface of the electrode finger  5   a . In this case, the Q factor may be increased, and the electromechanical coupling coefficient may be increased. In more detail, since Qm of the protection film  8  is small, the Q of the acoustic wave resonator may be increased when the protection film  8  on the side surfaces of the electrode finger  5   a  is thin. Accordingly, the loss of the acoustic wave filter may be reduced. Further, the difference in acoustic impedance between the portion where the electrode finger  5   a  is provided and the gap between the electrode fingers  5   a  becomes small when the protection film  8  is provided on the lithium tantalate film  4 . With this, the electromechanical coupling coefficient is reduced. However, the electromechanical coupling coefficient may be increased when the thickness of the protection film  8  on the side surfaces of the electrode finger  5   a  is small. 
     In the modification illustrated in  FIG. 32 , on the other hand, the thickness of the protection film  8  on the lithium tantalate film  4  is smaller than the thickness of the protection film  8  covering the upper surface of the electrode finger  5   a . In this case as well, the electromechanical coupling coefficient may be increased. That is, the electromechanical coupling coefficient may be increased by reducing the thickness of the protection film  8  in the portion covering the lithium tantalate film  4 . 
     In the modification illustrated in  FIG. 33 , the thickness of the protection film  8  on the lithium tantalate film  4  is larger than the thickness of the protection film  8  covering the upper surface of the electrode finger  5   a . In this case, the electromechanical coupling coefficient may be reduced and a narrower band may be achieved. 
       FIG. 34  is a front sectional view for describing a modification of the acoustic wave resonator used in preferred embodiments of the present invention. The acoustic wave resonator of the present modification has the same or substantially the same configuration as that of the acoustic wave device  1  illustrated in  FIG. 1A , except that the SiO 2  film  3  is not provided. As described above, the acoustic wave resonator used in preferred embodiments of the present invention may have a structure in which the lithium tantalate film  4  is directly laminated on the single crystal Si layer  2 . In that case, the thickness of the SiO 2  film  3  is zero. 
       FIG. 35  is a front sectional view illustrating another modification of the acoustic wave resonator used in preferred embodiments of the present invention. In an acoustic wave device  1 A, the protection film  8  is laminated on the upper surface of the electrode finger of the IDT electrode  5 . The protection film  8  does not extend to the side surfaces of the electrode finger of the IDT electrode  5 . As described above, the protection film  8  may be laminated on only the upper surface of the electrode finger. 
       FIG. 36  is a partially enlarged front sectional view for describing the structure in the case where the protection film  8  is a laminated film. The protection film  8  has a structure in which a first protection film layer  8   a , a second protection film layer  8   b , and a third protection film layer  8   c  are laminated. As described above, the protection film  8  may be a laminated film including the plurality of protection film layers. In this case, the wavelength normalized film thickness T P  of the protection film  8  is obtained by the total sum of values, where each value is a product of a value obtained when the density of a protection film layer is divided by the density of silicon oxide and the wavelength normalized film thickness of the protection film layer. For example, when the first protection film layer  8   a  has the density of d 1  and the wavelength normalized film thickness of t 1 , the second protection film layer  8   b  has the density of d 2  and the wavelength normalized film thickness of t 2 , the third protection film layer  8   c  has the density of d 3  and the wavelength normalized film thickness of t 3 , and silicon oxide has the density of d 0 , the wavelength normalized film thickness T P  of the protection film  8  is expressed as T P =(d 1 /d 0 )t 1 +(d 2 /d 0 )t 2 +(d 3 /d 0 )t 3 . 
     As illustrated in  FIG. 37 , Si (100) means a substrate that is cut in a (100) plane orthogonal or substantially orthogonal to a crystal axis represented by the Miller index [ 100 ] in the crystal structure of silicon having a diamond structure. Note that a crystallographically equivalent plane, such as Si (010), for example, is also included. 
     As illustrated in  FIG. 38 , Si (110) means a substrate that is cut in a (110) plane orthogonal or substantially orthogonal to a crystal axis represented by the Miller index [ 110 ] in the crystal structure of silicon having a diamond structure. Note that other crystallographically equivalent planes are also included. 
     As illustrated in  FIG. 39 , Si (111) means a substrate that is cut in a (111) plane orthogonal or substantially orthogonal to a crystal axis represented by the Miller index [ 111 ] in the crystal structure of silicon having a diamond structure. Note that other crystallographically equivalent planes are also included. 
     The acoustic wave device of each of the above-described preferred embodiments may be used as a component for such as the composite filter device in a high frequency front end circuit. An example of such high frequency front end circuit according to a preferred embodiment of the present invention will be described below. 
       FIG. 40  is a schematic configuration diagram of a communication apparatus including a high frequency front end circuit. A communication apparatus  240  includes an antenna  202 , a high frequency front end circuit  230 , and an RF signal processing circuit  203 . The high frequency front end circuit  230  is connected to the antenna  202 . The high frequency front end circuit  230  includes a composite filter device  210  and amplifiers  221  to  224 . The composite filter device  210  includes a first filter  211  to a fourth filter  214 . As the composite filter device  210 , the above-described composite filter device according to the present preferred embodiment may be used. The composite filter device  210  includes an antenna common terminal  225  connected to the antenna  202 . One terminal of each of the first filter  211  to the third filter  213  defining and functioning as reception filters and one terminal of the fourth filter  214  defining and functioning as a transmission filter are connected in common to the antenna common terminal  225 . The output terminals of the first filter  211  to the third filter  213  are connected to the amplifiers  221  to  223 , respectively. Further, the amplifier  224  is connected to an input terminal of the fourth filter  214 . 
     The output terminals of the amplifiers  221  to  223  are connected to the RF signal processing circuit  203 . An input terminal of the amplifier  224  is connected to the RF signal processing circuit  203 . 
     The composite filter device according to the present preferred embodiment may be suitably used as the composite filter device  210  in the communication apparatus  240  described above. 
     The acoustic wave device according to a preferred embodiment of the present invention is preferably the above-described acoustic wave resonator. The acoustic wave filter according to a preferred embodiment of the present invention includes a plurality of resonators and at least one of the plurality of resonators may be defined by an acoustic wave device according to a preferred embodiment of the present invention. 
     The composite filter device according to the present preferred embodiment includes N band pass filters (N is two or more) having different pass bands as in the composite filter device  210  described above, and one terminal of each of the N band pass filters is connected in common on the antenna terminal side. In this case, at least one of the N band pass filters excluding the band pass filter having the highest pass band includes one or more acoustic wave resonators, and at least one of the one or more acoustic wave resonators may be an acoustic wave device according to a preferred embodiment of the present invention. In addition, in the N band pass filters, at least one of the band pass filters other than the acoustic wave filters including the acoustic wave device according to a preferred embodiment of the present invention may not be an acoustic wave filter. That is, the band pass filters connected in common may include a band pass filter other than an acoustic wave filter, such as an LC filter, for example. Preferably, N is three or more, for example, and the three or more band pass filters define the composite filter device for simultaneously transmitting and receiving signals of a plurality of communication bands. Further, the acoustic wave filter may be a ladder filter, for example. 
     The acoustic wave devices according to preferred embodiments of the present invention may each be used in various communication bands, and preferably, the pass band in the acoustic wave filter is a pass band of a communication band defined by the 3GPP standard. 
     The composite filter devices according to preferred embodiments of the present invention may include only a plurality of transmission filters, or may include a plurality of reception filters. 
     Preferred embodiments of the present invention may widely be used in a communication device, such as a mobile phone, for example, as a filter or a composite filter device, a front end circuit, and a communication apparatus applicable to a multi-band system. 
     While preferred embodiments of the present invention have been described above, it is to be understood that variations and modifications will be apparent to those skilled in the art without departing from the scope and spirit of the present invention. The scope of the present invention, therefore, is to be determined solely by the following claims.