Patent Publication Number: US-RE39640-E

Title: Conductive isostructural compounds

Description:
This is a regular application of provisional application Ser. No. 60/103,961 filed Oct. 13, 1998. 
    
    
     SPONSORSHIP 
     Work on this invention was sponsored in part by the Office of Naval Research, Grants N00014-94-1-0935 and N00014-98-1-0443 and Defense Advanced Research Projects Agency Grant DAAG55-97-1-0184. The Government may have certain rights to the invention. 
    
    
     FIELD OF THE INVENTION 
     This invention relates generally to new compounds exhibiting crystal lattice morphologies and, more particularly, to conductive compounds having NaCl-type cubic crystal lattice structures. 
     BACKGROUND OF THE INVENTION 
     Semiconductor materials are at the core of current technological infrastructure and continuing advancements. Various semiconductors enable many technologies. For example, Si and Ge enable high speed computing, GaAs, InSb and their derivatives enable optoelectronics and communication devices, Si and GaAs are the vital components of solar energy converters, GaN and GaAs alloys enable solid state lasers, Bi 2 Te 3  alloys enable thermoelectric cooling, and PbS, PbSe and HgCdTe are used in medium and long wavelength radiation detection. 
     Semiconductor materials used in solid state lasers, photovoltaic cells, optoelectronic devices and radiation detection, for example, must not only be excellent electronic conductors, but also have the appropriate energy band configuration or “band gap” for those applications. As more than one material is used in layers, the difference in the band gap between the various semiconductor materials used is also critical. For example, photovoltaic cells can use two semiconductor materials to produce a rectifying heterojunction. The advantages of utilizing this design include the ability to choose materials with properties appropriate for each component of the device and the reduced necessity for compromise with the property requirements of other components of the device. An example of this is the use of a wide band gap “window” semiconductor material as a barrier layer on a more narrow band gap “absorber” semiconductor material. The amount of radiation absorbed and therefore the electrical current generated in the device, increases with the decreasing band gap width, while the diffusion potential obtainable within the device, and therefore the electrical voltage generated in the device, increases with band gap width. Thus, the absorber material is chosen to maximize the solar radiation absorbed and affords a reasonable diffusion potential, while window material is chosen to absorb a minimum amount of solar radiation. Therefore, the closer the actual band gap to the desired, theoretical band gap of the semiconductor materials, the more efficient the photovoltaic cell. Many current semiconductor materials are limited in that they do not allow for fine adjustment of the band gap. Furthermore, some semiconductor materials contain volatile elements causing changes in the composition of the materials and consequently unwanted changes in the band gap. 
     In thermoelectric devices, it is also critical to have semiconductor materials that have specific properties. Such devices may be used for heating, cooling, temperature stabilization, power generation and temperature sensing. Modern thermoelectric coolers typically include an array of thermocouples. 
     Thermoelectric devices are essentially heat pumps and power generators which follow the laws of thermodynamics in the same manner as mechanical heat pumps, refrigerators, or any other apparatus used to transfer heat energy. The efficiency of a thermoelectric device is generally limited to its associated Carnot cycle efficiency reduced by a factor which is dependent upon the thermoelectric figure of merit (zT) of the materials used in fabrication of the thermoelectric device. The figure of merit represents the coupling between electrical and thermal effects in a material. The basic thermoelectric effects are the Seebeck and Peltier effects. The Seebeck effect is the phenomenon underlying the conversion of heat energy into electrical power and is used in thermoelectric power generation. The complementary effect, the Peltier effect, is the phenomenon used in thermoelectric refrigeration and is related to heat absorption accompanying the passage of current through the junction of two dissimilar materials. 
     While thermoelectric materials such as alloys of Bi 2 Te 3 , PbTe and BiSb were developed thirty to forty years ago, the efficiency of such thermoelectric devices remains relatively low at approximately five to eight percent energy conversion efficiency. 
     Therefore it would be desirable to have semiconductor materials that are not only good conductors but have a range of band gaps to fit a wide number of applications. It would be further desirable to have materials in which the band gaps could be adjusted to give the desired band gap for the appropriate application. These materials should also be thermal and chemically stable. 
     Furthermore, it would be desirable to have thermoelectric materials that have a high thermoelectric figure of merit. Use of such materials would produce thermoelectric devices with high efficiencies. 
     SUMMARY OF THE INVENTION 
     The present invention relates to new isostructural compounds having the general formula A n M m M′ n O 2n+m  where A is an alkali metal, such as lithium (Li), sodium (Na), potassium (K), rubidium (Rb), or cesium (Cs) or the transition metal silver (Ag) or thallium (TI) and mixtures thereof, M is lead (Pb), tin (Sn), germanium (Ge), calcium (Ca), strontium (Sr), barium (Ba), any divalent transition metal or mixtures thereof, M′ is bismuth (Bi), antimony (Sb) or mixtures thereof, and Q is sulfur (S), selenium (Se), or tellurium (Te) and mixtures thereof. These compounds possess an NaCl-type cubic lattice crystal structure where A, M and M′ occupy the Na sites and Q occupies the Cl (chlorine) sites. This family of compounds combine isotropic morphology, an advantageous property for device processing, with low thermal conductivity and widely ranged electrical conductivity. Further, certain properties such as the electrical properties of the compounds can be controlled by varying the values for n and m. The isostructural compounds of the present invention are therefore good candidates for semiconductor applications in thermoelectronic devices, detectors, and photovoltaic cells, by way of non-limiting example. 
     Additional objects, advantages, and features of the present invention will become apparent from the following description and appended claims, taken in conjunction with the accompanying drawings. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG. 1  is an illustration of the crystal structure of A n Pb m Bi n O 2n+m ; 
         FIG. 2A  is a graph showing the infrared absorption spectrum of K 2 PbBi 2 Se 5 ; 
         FIG. 2B  is a graph showing the infrared absorption spectrum of KPb 4 BiSe 6 ; 
         FIG. 2C  is a graph showing the infrared absorption spectrum of KPb 8 BiSe 10 ; 
         FIG. 2D  is a graph showing the infrared absorption spectrum of PbSe; 
         FIG. 3  is an illustration showing a multispectral sensor with a two-materials stacked structure; 
         FIG. 4  is a graph showing the effect of increasing temperature on the resistivity of KPb 8 BiTe 10 ; and 
         FIG. 5  is a graph showing the effect of increasing temperature on the Seebeck coefficient of KPb 8 BiTe 10 . 
     
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     The present invention provides new isostructural compounds having the general formula A n M m M′ n O 2n+m  where A is an alkali metal, such as lithium (Li), sodium (Na), potassium (K), rubidium (Rb), cesium (Cs) or the transition metals silver (Ag) or thallium (TI) and mixtures thereof, M is lead (Pb), tin (Sn), germanium (Ge), calcium (Ca), strontium (Sr), barium (Ba), any divalent transition metal or mixtures thereof, M′ is bismuth (Bi), antimony (Sb) or mixtures thereof, and Q is sulfur (S), selenium (Se), or tellurium (Te) and mixtures thereof. 
     The variables n and m can be any number greater than zero. Preferably, n and m are integers. While the variables n and m can theoretically be any integer, preferably, n and m are between 1 and 20. Additionally, the ratio of cations to anions present in the compounds of the present invention will preferably be 1:1. 
     The compounds of the present invention can be synthesized utilizing at least two different groups of starting materials or from the pure elements themselves. According to one embodiment, the group of starting materials are A 2 Q, M, M′ and Q and under another embodiment the group of starting materials are A 2 Q, M′ 2 Q 3 , M and Q, wherein M and Q can be in the form of MQ as will be described below. In yet another embodiment, the pure elements, A, M, M′ and Q, in the correct stoichiometric ratios can be used to synthesize the compounds of the present invention. 
     A 2 Q can be prepared by reacting stoichiometric amounts of the elemental A (2 moles) with the elemental Q (1 mole) in liquid ammonia. When the reaction is complete, the ammonia is removed by evaporation at ambient temperature. The resulting product is dried and ground to give a fine homogeneous powder. 
     M′ 2 Q 3  can be generally prepared by reacting stoichiometric amounts of elemental Bi or Sb (2 moles) and elemental Q (3 moles) at 800° C. for about 1-3 days at ambient pressure or optionally under a vacuum to reduce reaction times. Alternatively, bismuth telluride (Johnson Matthey/AESAR Group, Seabrook, N.H.) and bismuth selenide (Cerac, Inc, Milwaukee, Wis.) can be obtained commercially. 
     MQ can be synthesized, for example, by thoroughly mixing stoichiometric amounts (1 mole each) of elemental Pb, Sn, Ge, Ca, Sr, Ba, or any divalent transition metal and Q and loading the mixture into a quartz tube at a residual pressure of less than 10 −4  Torr. The mixture is then heated to 800° C. over a 24 hour period and the temperature maintained for an additional 24 hours. The mixture is then cooled by quenching in water and the resulting ingot is crushed to a fine powder. The powder is then reloaded into a quartz tube and heated to 800° C. over a 24 hour period. The temperature of the mixture is maintained at 800° C. for an additional 24 hours and then slowly cooled to 300° C. at a rate of about 4° C./hr and subsequently to 50° C. over about 6 hours. The resulting ingots are ground to a fine powder prior to synthesis of the compounds of the present invention. 
     Upon forming each of the compounds included in the groups of starting materials, the isostructural compounds of the present invention are synthesized by thoroughly mixing and loading the chosen starting materials into a carbon coated quartz or capped graphite tube at a residual pressure less than 10 −4  Torr, i.e., either the group of A 2 Q, M metal, M′ metal and elemental Q or the group A 2 Q, M′ 2 Q 3  and MQ. The mixture is heated to 700° C. at a rate of about 30° C./hr. After maintaining the temperature at 700° C. for approximately 3 days, the mixture is cooled to 300° C. at a rate of 5° C./hr followed by cooling to 50° C. in about 12 hours. The resulting product is washed with degassed dimethylformamide and water in a nitrogen atmosphere. After further washing with diethyl ether and subsequent drying, the isostructural compounds of the present invention are obtained as shiny black chunks exhibiting the above described cubic phase. 
     The compounds of the present invention can al be synthesized from the pure elements. The appropriate elements for the desired compound, A, M, M′ and Q, are mixed together in the correct stoichiometric ratios and sealed in a quartz tube under vacuum, i.e., &lt;10 −3  Torr. The mixture is then heated in a direct flame until molten. Subsequent cooling of the melt yields the corresponding compound. To synthesize KSnBiSe 3 , by way of non-limiting example, 0.01 mole (0.39g) of potassium, 0.01 mole (1.18 g) tin, 0.01 mole (2.09g) bismuth and 0.03 mole (2.37g) of selenium were mixed, placed in a quartz tube and sealed under vacuum at &lt;10 −3  Torr. The mixture was heated in a direct flame until molten and subsequently cooled to yield the desired product, KSnBiSe 3 . 
     As noted above, the isostructural compounds of the present invention have a cubic crystal lattice structure of the same type as NaCl, wherein the cations (or metals) occupy the Na sites and the anions occupy the Cl sites. The cations, although differing in charge, are similar in size and tend to become randomly dispersed throughout the structure as shown in FIG.  1 . This cubic crystal structure is independent of the values for n and m and depends only on the elements selected to form the isostructural compounds. A property of this cubic structure of the compounds of the present invention is a morphology of low anisotropy which is desirable for fabricating electronic and optical devices, by way of non-limiting example. The cubic structure also gives rise to relatively high carrier mobilities and ease of crystal growth and processing. The compounds of the present invention also have relatively high melting point temperatures which are considered to be indicative of a high degree of structural stability. The melting temperatures of a significant number of the sample compounds of the present invention are greater than 850° C. (Table 1). 
     The isostructural compounds of the present invention include band gaps which are tunable. By “band gaps” it is meant that there is an energy difference between the highest occupied electron state and the lowest unoccupied electron state in the isostructural compounds. Further, by “tunable” it is meant that this energy difference can be manipulated to obtain the desired band gap. One way of tuning the band gaps of the isostructural compounds is by varying the values of the n and m (Table 1). For example, the band gap of KPbBiSe 3  (n=1, m=1) was measured at ˜0.60 eV which is in the desirable range for IR radiation detection. The compounds K 2 PbBi 2 S 5  (n=2, m=1) and KPb 2 BiS 4  (n=1, m=2) have optical bands gaps of 1.1 and 0.76 eV respectively. Depending on the values for n and m in A n M m  M′ n Q 2n+m  a relatively wide range of band-gaps is possible, i.e., from about 0.05 eV to 1.55 eV. Band gap values for other representative isostructural compounds are given in Table 1. Infrared spectra showing the band-gap transition are shown in  FIGS. 2A-C . For comparison purposes, the infrared spectrum for PbSe, which is commonly used as an IR detector and has an NaCl-type cubic crystal lattice structure, is shown in FIG.  2 D. 
     Another way of tuning the band gaps of the isostructural compounds of the present invention is by selecting certain cations and anions for A and Q, respectively. For example, if Se is chosen for Q and K is chosen for A, the isostructural compound KPb 2 BiSe 4  has a band gap of 0.66 eV. If Q is changed from Se to Te, the corresponding compound KPb 2 BiTe 4  has a band gap of less than 0.4 eV (Table 1). Depending on the application, appropriate band gaps can be chosen which would correspond to certain members of each family. One member of the family may be more appropriate for long wavelength detection, while another may be appropriate for short wavelength detection such as is used by IR lasers. 
     Yet another way of controlling the band gaps for the overall composition is by combining various individual isostructural compounds of the present invention to form solid solutions of the type (Li, Na, K, Rb, Cs, Ag, TI) n (Sn, Pb, Ge, Ca, Sr, Ba) m (Bi, Sb) n (S, Se, Te) 2n+m . By “solid solutions” what is meant is a single, solid, homogenous crystalline phase containing two or more chemical species. A so-called solid solution would be made up of at least two distinct chemical species such as A n Pb m Bi n Se 2n+m  and A n Pb m Bi n Te 2n+m  where Q represents two different anions (Sc and Te), or K n Pb m Bi n Q 2n+m  and Ag n Pb m Bi n Q 2n+m  where A now represents two different cations (K, Ag), by way of non-limiting example. Alternatively, M and M′ may be represented by more than one element to form a solid solution. Examples of such compounds are, but not limited to, AgPbBi 0.75 Sb 0.25 Te 3 , AgPbBi 0.5 Sb 0.5 Te 3 , AgPbBi 0.75 Sb 0.25 Te 3 , AgPb 0.75 Sn 0.25 BiTe 3 , AgPb 0.5 Sn 0.5 BiTe 3 , and AgPb 0.25 Sn 0.75 BiTe 3 . Additional non-limiting examples of solid solutions are given in Table 1. 
     It will be appreciated that although fractional numbers are used for the mole ratios, they can be combined to give the integer value for n or m. For example, in AgPb 0.75 Sn 0.25 BiTe 3 , Pb+Sn represent M and their combined mole fractions are equal to 1, the value for m. 
     While the n and m values in the pure isostructural compounds provide a coarse dial to control band-gap, the solid solutions give a final dial for band gap engineering. For example, KPb 2 BiSe 4  has a band gap of 0.66 eV while KPb 2 BiTe 4  has a band gap of less than 0.40 eV (Table 1). Therefore, solid solutions KPb 2 BiSe 3 Te, KPb 2 BiSe 2 Te 2  and KPb 2 BiSeTe 3  will all have band gaps that fall somewhere between 0.66 and 0.40 eV. The formation of solid solutions with these compositions provides yet another means for tuning the band gap. 
     The isostructural compounds of the present invention can be used in optical applications including, for example, infrared and near infrared detectors, lasers and photovoltaic cells such as solar cells by way of non-limiting example. In optical applications, at least two materials having different band gaps are layered together to give the desired optical properties. The isostructural compounds of the present invention have a wide range of band gaps that can be finely tuned to give optimal performance in such optical applications. In addition, the lattice structures are identical, allowing for superior lattice matching of the layers compared to the layering of two compounds with varying structures. 
     The isostructural compounds of the present invention can also be used in multi-spectral sensors. Multi-spectral sensors (e.g. long wavelength and short wavelength) offer the possibility of improved clutter rejection and improved recognition range. The proper fusing of the information from each spectral band is key to the realization of these advantages. One such application is the two color, stacked, co-located, three terminal back-to-back diodes pixel. Two color, simultaneous integration HgCdTe back-to-back diodes staring IRFPAs have been produced. Love, P. et al., Proceedings of the IRIS Detectors Specialty Group Symposium, pp. 169-186 (1995). The materials of the present invention are well suited for this multispectral configuration because they provide lattice matching over a wide range of n and m. For example, a two-material stacked structure with KPb 2 BiSe4 (Eg=0.66 eV) and KPb 8 BiSe 10  (Eg=0.35 eV) can be built either by vapor deposition techniques or by fusion bonding of two individual crystals as illustrated in  FIG. 3  along with the respective lattice constants, a. Current approaches using HgCdTe solid solutions (comprising HgTe and CdTe) require the growth of heterojunctions, which then requires precise lattice matching. Current techniques result in a lattice mismatch as great as 4-6%, compromising the performance of the multispectral sensor. In contrast, the isostructural compounds of the present invention can be utilized as individual compounds and therefore should not require precise compositional control at the junction. The lattice mismatch using the isostructural compounds of the present invention is significantly less than 4-6% and is &lt;2% with KPb 2 BeSe 4  and KPb 8 BiSe 10  in a stacked structure (FIG.  3 ). 
     Another application for isostructural compounds of the present invention is in thermoelectric devices. Such devices may be used for heating, cooling, temperature stabilization, power generation and temperature sensing. Recently, significant advances in the synthesis and design of new systems such as in filled skutterudites and quantum well structures provided new hope that high performance thermoelectric materials may be attainable. While the efficiency of thermoelectric coolers operating near room temperature is only about 10% of Carnot efficiency, the thermodynamics of thermoelectric cooling suggests that achieving close to 100% of Carnot efficiency is possible employing the isostructural compounds of the present invention. 
     Thermoelectric devices are essentially heat pumps and power generators which follow the laws of thermodynamics in the same manner as mechanical heat pumps, refrigerators, or any other apparatus used to transfer heat energy. The principal difference is that thermoelectric devices function with solid state electrical components (thermocouples) as compared to more traditional mechanical/fluid heating and cooling components. An efficient thermoelectric device is fabricated from two materials, one N-type and the other a P-type conductor. Each material is separately chosen to optimize the figure of merit, zT, where zT=(S 2 σ/κ)T; S is the thermopower or Seebeck coefficient (μV/K), σ the electrical conductivity (S/cm), κ the thermal conductivity (W/m−K) and T the temperature (K). Therefore, to obtain a thermoelectric material having a high thermoelectric performance, it is desirable to select a material having a large Seebeck coefficient, S, a large electrical conductivity, σ, and a small thermal conductivity, κ. 
     The isostructural compounds of the present invention have a high thermoelectric performance resulting from large Seebeck coefficients, large electrical conductivities and small thermal conductivities (Table 1). The Seebeck coefficients of the compounds of the present invention range from about ±30 μV/k to about ±500 μV/k and the electrical conductivities from about 10 to about 7000 S/cm. 
       FIG. 4  shows the effect of increasing temperature on the inverse of electrical conductivity (resistivity) while  FIG. 5  shows the effect of increasing temperature on the Seebeck coefficient of the compound KPb 8 BiTe 10 . Increasing the temperature results in a larger Seebeck coefficient. 
     The isostructural compounds of the present invention may be doped with selected impurities to produce P-type and N-type conductors having improved thermoelectric properties such as enhanced Seebeck coefficients and figures of merit (zT). In an enhanced N-type conductor, one atom is replaced by another atom having more valence electrons, wherein the extra electrons are not needed for bonding and are free to move throughout the crystal. Alternatively, a P-type conductor is formed when an atom in the isostructural compound is replaced by another atom with fewer electrons, leaving a bond vacant wherein this shortage is referred to as a hole. 
     The compounds of the present invention always exhibit P-type conductivity when the compounds are prepared by high temperature reaction with stoichiometric amounts of the constituent components. Enhanced P-type semiconductors can be produced from the compounds of the present invention. For the cationic sites of Bi or Sb (Group V) and Pb or Sn (Group IV), doping with one electron deficient elements such as Group IV elements (Ge, Sn, Pb) and Group III elements (Al, Ga, In, TI), respectively, may produce more hole carriers which give rise to improved electrical properties. 
     The isostructural components of the present invention can be used to produce N-type semiconductor materials by doping with various impurities. Isovalent anionic dopants, where S or Se is substituted for Te and S for Se may be used in about less than 1 atomic percent. Other examples of compounds that can be used for doping are the metal halides SbX 3 , BiX 3 , and Hg 2 Cl 2 , DX 2  where X is chlorine, bromine, iodine and mixtures thereof and D is chromium, manganese, iron, cobalt, nickel, copper, zinc, magnesium and mixtures thereof. These are examples of compounds that can be used for doping and are in no way meant to be limiting. It should be appreciated by those skilled in the art that any dopant can be used to dope the isostructural compounds of the present invention to form enhanced P-type and N-type semiconductors. 
     Doping of the isostructural compounds of the present invention can be achieved by introducing the desired amount of dopant during synthesis. Stoichiometric amounts of the dopant can be added to the starting materials. Alternately, the compounds of the present invention can be doped by co-melting the desired compound and the dopant and recooling the new mixture. The amount of dopant preferably ranges from 0.0001% to 4% by weight. 
     The isostructural compounds of the present invention may be used in a thermoelectrical conversion process in a thermoelectric conversion device. The thermoelectric conversion process using the isostructural compounds of the present invention may take any appropriate form, such as any known device and/or structure, as long as thermoelectric conversion principles are met. Such devices may be, but are not limited to, electrical power generators, heater, coolers, thermocouples, temperature sensors and radioisotope thermoelectric generators. Other thermoelectric devices that can be manufactured using the compounds of the present invention may be used in waste heat recovery systems, automobiles, remote power generators, temperature sensors and coolers for advanced electronic components such as field effect transistors, as non-limiting examples. 
     The isostructural compounds of the present invention may take any number of appropriate shapes. The compounds may be used in a lump shape or they may be formed in the shape of a thin film by a growth method, vapor deposition, or other techniques known to those skilled in the art. Regardless of the shape, the isostructural compounds of the present invention have excellent conductivity and thermoelectric properties. 
     
       
         
           
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 1 
               
               
                   
               
               
                   
                   
                   
                 Lattice 
                 Band 
                 Melting 
                   
                   
                   
               
               
                   
                   
                   
                 Parameter 
                 Gap 
                 Point 
                 κ a   
                 σ b   
                 S c   
               
               
                 Compound 
                 n 
                 m 
                 (Å) 
                 (eV) 
                 ° C.) 
                 (W/m-K) 
                 (S/cm) 
                 (μV/K) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 AgPbBiS 3   
                 1 
                 1 
                 5.753 
                 0.54 
                 &gt;910 
                 1.3 
                 25 
                 −160 
               
               
                 AgPbBiSe 3   
                 1 
                 1 
                 5.955 
                 0.48 
                 &gt;920 
                 1.0 
                 67 
                 −130 
               
               
                 AgPbBiTe 3   
                 1 
                 1 
                 6.28 
                 0.28 
                 &gt;900 
                 1.15 
                 300 
                 −40 
               
               
                 AgPbSbTe 3   
                 1 
                 1 
               
               
                 AgSnBiTe 3   
                 1 
                 1 
                 6.1639 
               
               
                 AgPb 2 BiTe 4   
                 1 
                 2 
                 6.323 
                 0.29 
                 &gt;850 
                 1.2 
                 180 
                 −165 
               
               
                 AgSn 8 BiSe 10   
                 1 
                 8 
                 5.926 
                   
                 &gt;900 
                 1.2 
               
               
                 AgPb 10 BiS 12   
                 1 
                 10 
                 6.117 
                 0.31 
                 &gt;900 
                 1.1 
               
               
                 AgPb 10 BiTe 12   
                 1 
                 10 
                 6.452 
                 0.29 
                 &gt;850 
                 1.1 
               
               
                 AgPb 10 SbTe 12   
                 1 
                 10 
                 6.441 
                 0.29 
                 &gt;850 
                 1.0 
               
               
                 AgPb 10 BiSe 12   
                 1 
                 10 
                 6.118 
               
               
                 AgSn 10 BiS 12   
                 1 
                 10 
                 6.259 
                   
                   
                   
                 6700 
               
               
                 AgPb 10 SbS 12   
                 1 
                 10 
                 5.905 
                   
                   
                   
                 300 
               
               
                 AgPb 13 BiTe 15   
                 1 
                 13 
                 6.44 
                 0.23 
                 &gt;800 
                 1.6 
               
               
                 AgPbBiTe 2 Se 
                 1 
                 1 
                 6.185 
                   
                   
                 1.3 
                 400 
                 −58 
               
               
                 AgPbBiTe 2.25 Se 0.75   
                 1 
                 1 
                 6.19 
                   
                   
                 1.1 
                 150 
                 −40 
               
               
                 AgPbBiTe 2.5 Se 0.5   
                 1 
                 1 
                 6.247 
                   
                   
                 1.6 
                 77 
                 −80 
               
               
                 AgPbBiTe 2.75 Se 0.25   
                 1 
                 1 
                 6.274 
                   
                   
                 1.15 
                 133 
                 −105 
               
               
                 AgPbBi 0.1 Sb 0.9 Te 3   
                 1 
                 1 
               
               
                 AgPbBi 0.05 Sb 0.95 Te 3   
                 1 
                 1 
               
               
                 AgPbBi 0.75 Sb 0.25 Te 3   
                 1 
                 1 
                 6.261 
                 0.268 
                   
                   
                 29 
                 −68 
               
               
                 AgPbBi 0.5 Sb 0.5 Te 3   
                 1 
                 1 
                 6.261 
                 0.27 
                   
                   
                 3.91 
                 250 
               
               
                 AgPbBi 0.25 Sb 0.75 Te 3   
                 1 
                 1 
                   
                   
                   
                   
                 10 
                 370 
               
               
                 AgPb 0.75 Sn 0.25 BiTe 3   
                 1 
                 1 
                   
                 0.18 
                   
                   
                 59 
                 −33 
               
               
                 AgPb 0.5 Sn 0.5 BiTe 3   
                 1 
                 1 
                   
                   
                   
                   
                 310 
               
               
                 AgPb 0.25 Sn 0.75 BiTe 3   
                 1 
                 1 
                   
                   
                   
                   
                 685 
                 35 
               
               
                 AgPbBiTe 1.5 Se 1.5   
                 1 
                 1 
                 6.13 
               
               
                 AgPbBiTeSe 2   
                 1 
                 1 
                 6.078 
               
               
                 AgPbBiTe 0.5 Se 2.5   
                 1 
                 1 
                 6.036 
               
               
                 AgPbBiTe 2.95 Se 0.05   
                 1 
                 1 
                 6.223 
                   
                   
                   
                   
                 −64 
               
               
                 AgPbBiTe 2.75 Se 0.25   
                 1 
                 1 
                 6.245 
                   
                   
                   
                 666 
                 −60 
               
               
                 AgPbSb 0.95 Bi 0.05 Te 3   
                 1 
                 1 
                   
                 0.37 
                   
                   
                   
                 430 
               
               
                 KPb 3 BiS 5   
                 1 
                 3 
                 5.949 
                 0.71 
                 &gt;850 
               
               
                 K 5 Pb 16 Bi 5 S 26   
                 5 
                 16 
                 5.947 
                 0.69 
                 &gt;850 
               
               
                 KPb 7 BiS 9   
                 1 
                 7 
                 5.937 
                 0.63 
                 &gt;850 
               
               
                 KPb 9 BiS 11   
                 1 
                 9 
                 5.947 
                 0.53 
                 &gt;850 
               
               
                 K 7 PbBi 7 S 15   
                 7 
                 1 
                 5.975 
                 1.02 
                 &gt;850 
               
               
                 K 8 PbBi 8 S 17   
                 8 
                 1 
                 6.006 
                 1.24 
                 &gt;850 
               
               
                 K 11 PbBi 11 S 23   
                 1 
                 1 
                 6.009 
                 1.30 
                 &gt;850 
               
               
                 KPbBiSe 3   
                 1 
                 1 
                 6.182 
                 0.6 
                 1004 
               
               
                 KPb 2 BiSe 4   
                 1 
                 2 
                 6.185 
                 0.66 
                 958 
                   
                   
                 −515 
               
               
                 KPb 3 BiSe 5   
                 1 
                 3 
                 6.175 
                 0.64 
                 977 
                   
                   
                 40 
               
               
                 KPb 4 BiSe 6   
                 1 
                 4 
                 6.154 
                 0.56 
                 1015 
                   
                   
                 210 
               
               
                 KPb 5 BiSe 7   
                 1 
                 5 
                 6.142 
                 0.45 
                 1035 
                   
                   
                 500 
               
               
                 KPb 10 BiSe 12   
                 1 
                 10 
                 6.112 
                 0.32 
                 &gt;850 
               
               
                 K 2 Pb 23 Bi 2 Se 27   
                 2 
                 23 
                 6.111 
                   
                 &gt;850 
               
               
                 K 2 PbBi 2 Se 5   
                 2 
                 1 
                 6.007 
                 0.62 
                 &gt;900 
               
               
                 K 3 PbBi 3 Se 7   
                 3 
                 1 
                 6.196 
                 0.67 
                 &gt;900 
               
               
                 KPbBiTe 3   
                 1 
                 1 
                   
                 0.45 
                 &gt;900 
                 &lt;1.5 
                   
                 −125 
               
               
                 KPb 2 BiTe 4   
                 1 
                 2 
                 6.469 
                 &lt;0.40 
                 &gt;900 
                 1.7 
                 700 
                 −115 
               
               
                 KPb 3 BiTe 5   
                 1 
                 3 
                 6.467 
                 &lt;0.38 
                 &gt;900 
                 1.5 
                 800 
               
               
                 KPb 4 BiTe 6   
                 1 
                 4 
                 6.479 
                 &lt;0.37 
                 &gt;900 
                 1.7 
                 1000 
                 −155 
               
               
                 KPb 8 BiTe 10   
                 1 
                 8 
                 6.458 
                 &lt;0.36 
                 &gt;900 
                 2.1 
                 1100 
                 −150 
               
               
                 KPb 10 BiTe 12   
                 1 
                 10 
                 6.472 
                 &lt;0.36 
                 &gt;900 
                 2.2 
                 960 
                 −145 
               
               
                 KPb 10 BiSeS 11   
                 1 
                 10 
                 5.9815 
               
               
                 KPb 10 BiSe 3 S 9   
                 1 
                 10 
                 6.0199 
               
               
                 KPb 10 BiSe 6 S 6   
                 1 
                 10 
                 6.0635 
               
               
                 KPb 10 BiSe 9 S 3   
                 1 
                 10 
                 6.1055 
               
               
                 KPb 10 BiSe 11 S 
                 1 
                 10 
                 6.1336 
               
               
                 KPb 10 Bi 0.75 Sb 0.25 Te 6 Se 6   
                 1 
                 10 
                 6.3284 
                   
                 935 
                   
                 990 
               
               
                 KPb 10 Bi 0.5 Sb 0.5 Te 6 Se 6   
                 1 
                 10 
                 6.3073 
                   
                 935 
                   
                 595 
               
               
                 KPb 10 Bi 0.75 Sb 0.25 Te 6 Se 6   
                 1 
                 10 
                 6.2846 
                 935 
                 380 
               
               
                 KPb 8 Sn 2 BiTe 6 Se 6   
                 1 
                 10 
                 6.2949 
                   
                 860 
                   
                 450 
               
               
                 KPb 6 Sn 4 BiTe 6 Se 6   
                 1 
                 10 
                 6.27 
                   
                 860 
                   
                 40 
               
               
                 KPb 4 Sn 6 BiTe 6 Se 6   
                 1 
                 10 
                 6.2544 
                   
                 860 
                   
                 100 
               
               
                 KPb 2 Sn 8 BiTe 6 Se 6   
                 1 
                 10 
                 6.2094 
                   
                 860 
                   
                 360 
               
               
                 KPbSbTe 3   
                 1 
                 1 
               
               
                 KPb 5 SbTe 7   
                 1 
                 5 
                 6.448 
                   
                   
                   
                 13 
               
               
                 KPb 10 SbTe 7   
                 1 
                 5 
                 6.459 
                   
                   
                   
                 215 
               
               
                 KSnBiTe 3   
                 1 
                 1 
                   
                   
                   
                   
                 150 
               
               
                 KSn 5 BiTe 7   
                 1 
                 5 
                   
                   
                   
                   
                 230 
               
               
                 KSn 10 BiTe 12   
                 1 
                 10 
                 6.292 
                   
                   
                   
                 990 
               
               
                 KSnSbTe 3   
                 1 
                 1 
                   
                   
                   
                   
                 210 
               
               
                 KSn 5 SbTe 7   
                 1 
                 5 
                 6.278 
                   
                   
                   
                 2630 
               
               
                 KSn 10 SbTe 12   
                 1 
                 10 
                 6.363 
                   
                   
                   
                 4250 
               
               
                   
               
            
           
         
       
     
     Although the present invention has been described in detail, it should be understood that various changes, substitutions and alterations can be made herein without departing from the spirit and the scope to the invention.