Patent Publication Number: US-7719387-B2

Title: Multilayer filter composed of varistor section and inductor section

Description:
BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     The present invention relates to a multilayer filter. 
     2. Related Background Art 
     The electronic devices are recently being developed toward higher frequencies of transmitted signals for faster operation, lower voltages for power saving, and so on. Under such circumstances, the technology of removing noise, surge, etc. has increasingly been becoming important for the electronic devices from the viewpoint of ensuring excellent reliability. Consequently, a multilayer filter composed of a varistor section and an inductor section is attracting attention as an element capable of removing both of noise and surge in the form of a single chip. 
     An example of the known multilayer filters of this type is a composite functional element obtained by joining a semiconductor porcelain and a magnetic porcelain together and integrally sintering them (e.g., cf. Japanese Patent Application Laid-open No. 7-220906). 
     SUMMARY OF THE INVENTION 
     In the conventional multilayer filter described above, however, the material making the laminate of the varistor section is different from that of the inductor section and therefore they show a great difference in volume change during the sintering. For this reason, stress tended to appear at the interface between them during the integral sintering. Then this raised a problem that the varistor section and the inductor section were likely to delaminate from each other. 
     Therefore, the inventors first attempted to make the inductor section from the same material as the laminate of the varistor section in order to reduce the delamination of the varistor section and the inductor section in the multilayer filter. As a result, the inventors found that the varistor section and the inductor section became very much unlikely to delaminate, even in the case where they were integrally sintered. 
     However, the material making the laminate of the varistor section normally has the characteristic of extremely low resistance and is unsuitable for the material of the inductor. Therefore, it was difficult to apply this multilayer filter to usage at high frequencies. 
     The inventors conducted further research based on this finding and discovered that the laminate of the inductor part came to have high resistance where the inductor section was composed of the laminate of the same material as the constituent material of the varistor section and the two constituent materials contained different additives. However, when the inventors actually made the multilayer filter of this composition by way of trial, we found that the high frequency characteristic degraded in certain cases. 
     An object of the present invention is therefore to provide a multilayer filter capable of reducing the delamination of the inductor section and the varistor section and suppressing the degradation of the high frequency characteristic. 
     A multilayer filter according to the present invention is a multilayer filter comprising: an inductor section with an inductor conductor portion being formed in an inductor layer; and a varistor section with a varistor conductor portion being formed in a varistor layer, the inductor section and the varistor section being arranged so as to form an interface; (a) wherein the varistor layer contains ZnO as a major ingredient and additives of at least one element selected from the group consisting of Pr and Bi, Co, and Al; (b) wherein the inductor layer contains ZnO as a major ingredient and contains no substantial amount of Co and Al; (c) wherein a diffusion layer is formed on the interface side in the inductor layer and contains Li; (d) wherein the inductor conductor portion is located 20 μm or more away from the interface; and (e) wherein the varistor conductor portion is located 40 μm or more away from the interface. 
     In this multilayer filter, since the inductor layer and the varistor layer contain the same material (ZnO) as their major ingredient, the stress or the like based on the difference between volume change rates of laminates is unlikely to appear between the two layers during integral sintering of these layers. Consequently, the delamination of the inductor section and the varistor section is drastically reduced. 
     The material making the inductor layer, i.e., the material containing ZnO as the major ingredient and containing no substantial amount of Co and Al, has characteristics of extremely high resistivity and low permittivity when compared with ZnO itself and the constituent material of the varistor layer (ZnO and the additives of Pr or Bi, Co, and Al). This multilayer filter has the inductor section with excellent inductor characteristic accordingly. 
     If Co and Al in the varistor layer diffuse into the inductor layer during the integral sintering of the inductor section and the varistor section, Co will act to increase the permittivity, while Al will act to decrease the resistivity. Therefore, the permittivity (or capacitance) will increase and the resistivity will decrease in the diffusion layer on the interface side to the varistor layer in the inductor layer. It will result in degradation of the inductor characteristic of the inductor section and degradation of the high frequency characteristic of the multilayer filter. In this case, it was found by the inventors&#39; research that the inductor conductor portion had to be located 100 μm or more away from the interface, in order to suppress the degradation of the inductor characteristic of the inductor section. 
     In the multilayer filter, however, since the diffusion layer in the inductor layer contains Li, the increase in the permittivity of the diffusion layer is well suppressed. As a consequence, it is feasible to suppress the degradation of the inductor characteristic of the inductor section due to the diffusion of Co and Al, even in a case where the inductor conductor portion is located as close as 20 μm from the interface. Therefore, this multilayer filter is able to suppress the degradation of the high frequency characteristic and to achieve downsizing. 
     On the other hand, Co and Al decease in the diffusion layer on the interface side to the inductor layer in the varistor layer during the integral sintering of the inductor section and the varistor section, to lower the permittivity (or capacitance) and thus the varistor layer will fail substantially to demonstrate the varistor function. In the multilayer filter, however, since the varistor conductor portion is located 40 μm or more away from the interface, the varistor conductor portion can be placed away from the diffusion layer in the varistor layer. Therefore, it is feasible to suppress the degradation of the varistor characteristic of the varistor section and to suppress the degradation of the high frequency characteristic of the multilayer filter. 
     In the foregoing multilayer filter, preferably, for diffusing the Li from a surface into the diffusion layer of the inductor conductor portion, a lead conductor portion of the inductor conductor portion to the surface has a thickness of nor less than 3 μm. 
     In this configuration, the lead conductor portion of the inductor conductor portion has the large thickness of not less than 3 μm, so that Li can be appropriately diffused from the surface into the diffusion layer of the inductor conductor portion through the clearance around the inductor conductor portion. 
     In the foregoing multilayer filter, preferably, a separation distance between the inductor conductor portion and the interface is not more than 100 μm. 
     The electric field coupling takes place between the inductor conductor portion and the varistor conductor portion. In the case of an array type multilayer filter in which a plurality of filter elements are arrayed in a row, an inner filter element tends to have a larger distribution width of an electric field distribution than an outer filter element. This results in increasing element variation (interchannel variation) in parasitic capacitance and increasing element variation (interchannel variation) in high frequency characteristic. 
     In the above-described configuration, however, the separation distance between the inductor conductor portion and the interface is as short as not more than 100 μm; that is, the separation distance between the inductor conductor portion and the varistor conductor portion is small, so that the increase in the distribution width of the electric field distribution can be reduced, particularly, in the inner filter element. Therefore, this configuration reduces the element variation in parasitic capacitance and the element variation in high frequency characteristic. 
     Preferably, the foregoing varistor conductor portion has a pair of hot electrodes connected to two ends of the inductor conductor portion, respectively, and a ground electrode, and the pair of hot electrodes are located 100 μm or more away from each other on one plane in the varistor layer. 
     In this configuration, the pair of hot electrodes in the varistor section in a π type multilayer filter are located on the same plane in the varistor layer, and thus the number of layers in the varistor section can be reduced. It is thus feasible to achieve further downsizing of the multilayer filter. 
     Furthermore, the pair of hot electrodes are spaced 100 μm or more from each other, which can reduce the increase in capacitance parasitic between input and output of the π type multilayer filter. Therefore, it becomes feasible to further suppress the degradation of the high frequency characteristic of the multilayer filter. 
     Preferably, the foregoing varistor conductor portion has a hot electrode connected to the inductor conductor portion, and a pair of ground electrodes, and the hot electrode is located between the pair of ground electrodes so as to face the pair of ground electrodes in a stack direction of the inductor section and the varistor section. 
     In this configuration, the hot electrode in the varistor section is located between the pair of ground electrodes, which can reduce the increase in capacitance parasitic on the hot electrode side of the varistor section. As a result, it becomes feasible to further suppress the degradation of the high frequency characteristic of the multilayer filter. 
     As described above, the present invention provides the multilayer filter capable of reducing the delamination of the inductor section and the varistor section and suppressing the degradation of the high frequency characteristic. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG. 1  is a perspective view showing a multilayer filter according to the first embodiment. 
         FIG. 2  is an exploded perspective view showing a separated state of a laminate of the multilayer filter according to the first embodiment. 
         FIG. 3  is a sectional view showing a center cross section of the multilayer filter according to the first embodiment. 
         FIG. 4  is a circuit diagram of the multilayer filter according to the first embodiment. 
         FIG. 5  is an exploded perspective view showing a separated state of a laminate of a multilayer filter according to the second embodiment. 
         FIG. 6  is a circuit diagram of the multilayer filter according to the second embodiment. 
         FIG. 7  is a perspective view showing a multilayer filter according to the third embodiment. 
         FIG. 8  is an exploded perspective view showing a separated state of a laminate of the multilayer filter according to the third embodiment. 
         FIG. 9  is a circuit diagram of the multilayer filter according to the third embodiment. 
         FIG. 10  is an exploded perspective view showing a separated state of a laminate of a multilayer filter according to the fourth embodiment. 
         FIG. 11  is a circuit diagram of the multilayer filter according to the fourth embodiment. 
         FIG. 12  is an exploded perspective view showing a separated state of a laminate of a multilayer filter according to the fifth embodiment. 
         FIG. 13  is a drawing schematically showing a sectional structure of multilayer filters in Example 1 in a state in which an inductor multilayer section and a varistor multilayer section are provided with two pairs of internal electrodes for evaluation. 
         FIG. 14  is a drawing showing the evaluation results of capacitances of multilayer filters in Example 1. 
         FIG. 15  is a drawing showing the evaluation results of capacitances of multilayer filters in Example 1. 
         FIG. 16  is a drawing showing the evaluation results of capacitances of multilayer filters in Example 2. 
     
    
    
     DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     The preferred embodiments of the present invention will be described below in detail with reference to the drawings. Identical or equivalent portions will be denoted by the same reference symbols in the drawings. 
     First Embodiment 
       FIG. 1  is a perspective view showing a multilayer filter according to the first embodiment and  FIG. 2  an exploded perspective view showing a separated state of a laminate of the multilayer filter according to the first embodiment.  FIG. 3  is a sectional view showing a central cross section of the multilayer filter according to the first embodiment and  FIG. 4  a circuit diagram of the multilayer filter according to the first embodiment. The cross section in  FIG. 3  is a plane parallel to the longitudinal direction and the stack direction of the laminate  2 . 
     As shown in  FIG. 1 , the multilayer filter  1  comprises the laminate  2  of a rectangular parallelepiped shape. In the laminate  2 , an input terminal electrode  3  and an output terminal electrode  4  are formed at both ends in the longitudinal direction of the laminate and a pair of ground terminal electrodes  5  are formed at both ends in the direction perpendicular to the longitudinal direction. 
     As shown in  FIGS. 2 and 3 , the laminate  2  includes an inductor multilayer section (inductor section)  7  consisting of a stack of inductor layers  6   1 - 6   9 , and a varistor multilayer section (varistor section)  9  consisting of a stack of varistor layers  8   1 - 8   4 . The inductor multilayer section  7  and the varistor multilayer section  9  are arranged to form an interface P. The interface P is formed between the inductor layer  6   9  and the varistor layer  8   1  in the laminate  2 . 
     The inductor layers  6   1 - 6   9  are made of an electrically insulating material and in a rectangular thin plate shape and have edges  6   a ,  6   b ,  6   c , and  6   d  clockwise from the edge where the input terminal electrode  3  is formed. The inductor layers  6   1 - 6   9  are made of a ceramic material containing ZnO as a major ingredient. 
     The ceramic material making the inductor layers  6   1 - 6   9  may contain additives of metal elements such as Pr, K, Na, Cs, and Rb, in addition to ZnO. Among them, a particularly preferred additive is Pr. When Pr is added, it is easy to reduce the difference between volume change rates of the inductor layers  6   1 - 6   9  and the varistor layers  8   1 - 8   4 . The inductor layers  6   1 - 6   9  may further contain Cr, Ca, or Si for improving the adhesion to the varistor multilayer section  9 . 
     These metal elements contained in the inductor layers  6   1 - 6   9  can exist in various forms such as single metals or oxides. A preferred content of the additives contained in the inductor layers  6   1 - 6   9  is preferably not less than 0.02 mol % nor more than 2 mol %, relative to the total amount of ZnO contained in the inductor layers. The content of these metal elements can be measured, for example, with an inductively coupled plasma-atomic emission spectrometer (ICP). 
     The inductor layers  6   1 - 6   9  contain no substantial amount of Co and Al which are contained in the below-described varistor layers  8   1 - 8   4 . It is noted herein that a state of “contain no substantial amount” refers to a state in which these elements are not intentionally contained as raw materials in production of the inductor layers  6   1 - 6   9 . For example, a case where these elements are unintentionally contained, for example, because of diffusion from the varistor multilayer section  9  into the inductor multilayer section  7  corresponds to the state of “contain no substantial amount.” The inductor layers  6   1 - 6   9  may further contain any other metal element or the like, e.g., for further improvement in characteristics as long as the above-described conditions are met. 
     The varistor layers  8   1 - 8   4  are formed in a rectangular thin plate shape and have edges  8   a ,  8   b ,  8   c , and  8   d  clockwise from the edge where the input terminal electrode  3  is formed. The varistor layers  8   1 - 8   4  are made of a ceramic material containing ZnO as a major ingredient. 
     This ceramic material further contains at least one element selected from the group consisting of Pr and Bi, Co, and Al as additives. Since the varistor layers  8   1 - 8   4  contain Co in addition to Pr, they have an excellent nonlinear current-voltage characteristic and high permittivity (ε). Since they further contain Al, they have low resistance. 
     The metal elements as the additives in the varistor layers  8   1 - 8   4  can exist in such forms as single metals or oxides in the varistor layers  8   1 - 8   4 . The varistor layers  8   1 - 8   4  may further contain any additive such as a metal element (e.g., Cr, Ca, Si, K, or the like) other than the above-described additives, for further improvement in characteristics. 
     When the inductor layers  6   1 - 6   9  and the varistor layers  8   1 - 8   4  are made of their respective constituent materials in the same constitution as described above, delamination can be prevented between the inductor multilayer section  7  and the varistor multilayer section  9 . The inductor layers  6   1 - 6   9  and the varistor layers  8   1 - 8   4  will be described below in more detail. 
     The inductor layers  6   1 - 6   8  are made without additives of Co and Al so as to contain neither of Co and Al. Therefore, the inductor layers  6   1 - 6   8  have small permittivity and high resistivity and thus have extremely favorable characteristics as the constituent material of the inductor layers. 
     The inductor layer  6   9  is made of a material containing neither of Co and Al, without additives of Co and Al, as the inductor layers  6   1 - 6   8  are. However, Co and Al in a varistor green sheet for varistor layer  8   1  diffuse into an inductor green sheet for inductor layer  6   9  in a production process. Namely, the inductor layer  6   9  has an inductor diffusion layer  6 D containing Co and Al, along the interface P. 
     The inductor diffusion layer  6 D further contains Li. However, this Li is not one added as a raw material in these layers, but it is one added by diffusion in a production method as described below, in such a manner that, after production of the laminate  2  with the inductor multilayer section  7  and the varistor multilayer section  9 , a raw material containing Li is attached to the surface of this laminate  2  and it is made to diffuse. 
     Since the inductor diffusion layer  6 D contains Co and Al, its permittivity would be higher than that of the inductor layers  6   1 - 6   8 , which could result in impeding the inductor function, but it further contains Li to suppress the increase of permittivity and thus to suppress the impediment of the inductor function. 
     It is noted that Li may be diffused throughout the inductor layers  6   1 - 6   9  in the inductor multilayer section  7 . This improves the inductor characteristic in the inductor multilayer section  7 . 
     On the other hand, the varistor layer  8   1  is made of a material similar to the varistor layers  8   2 - 8   4 . However, Co and Al contained in the varistor green sheet for varistor layer  8   1  diffuse into the inductor green sheet for inductor layer  6   9  in the production process. Namely, the varistor layer  8   1  has a varistor diffusion layer  8 D having the content of Co and Al lower than that in the varistor layers  8   2 - 8   4 , along the interface P. 
     The decrease in the content of Co and Al in the varistor diffusion layer  8 D makes the permittivity thereof lower than that of the varistor layers  8   2 - 8   4 , so as to degrade the varistor function. 
     It is desirable in the varistor multilayer section  9  that Li should be as little as possible in a region of the varistor layer  8   2  between a hot electrode  16  and a ground electrode  17 . Since the present embodiment adopts the method of diffusing Li from the surface of the laminate  2  as described above, diffusion of Li is extremely little to the foregoing region of the varistor layer  8   2  and this region is in a state in which it substantially contains no Li. 
     In the inductor multilayer section  7 , an inductor conductor portion  12   1  or  12   2  is formed so as to extend along the edge  6   b , edge  6   c , and edge  6   d  on each of the inductor layers  6   3 ,  6   7 , and an inductor conductor portion  12   3  is formed so as to extend along the edge  6   d , edge  6   a , and edge  6   b  on the inductor layer  6   5 . An inductor conductor portion  12   4  or  12   5  is formed so as to extend along the edge  6   a , edge  6   b , and edge  6   c  on each of the inductor layers  6   4 ,  6   8 , and an inductor conductor portion  12   6  is formed so as to extend along the edge  6   c , edge  6   d , and edge  6   a  on the inductor layer  6   6 . Furthermore, an inductor conductor portion  12   7  is formed so as to be connected to the input terminal electrode  3 , on the inductor layer  6   2 , and an inductor conductor portion  12   8  is formed so as to be connected to the output terminal electrode  4 , on the inductor layer  6   9 . 
     An end of the inductor conductor portion  12   1  on the edge  6   d  side and the edge  6   a  side is electrically connected through a through hole formed in the inductor layer  6   3 , to an end of the inductor conductor portion  12   4  on the edge  6   d  side and the edge  6   a  side. An end of the inductor conductor portion  12   4  on the edge  6   c  side and the edge  6   d  side is electrically connected through a through hole formed in the inductor layer  6   4 , to an end of the inductor conductor portion  12   3  on the edge  6   c  side and the edge  6   d  side, and an end of the inductor conductor portion  12   3  on the edge  6   b  side and the edge  6   c  side is electrically connected through a through hole formed in the inductor layer  6   5 , to an end of the inductor conductor portion  12   6  on the edge  6   b  side and the edge  6   c  side. Furthermore, an end of the inductor conductor portion  12   6  on the edge  6   a  side and the edge  6   b  side is electrically connected through a through hole formed in the inductor layer  6   6 , to an end of the inductor conductor portion  12   2  on the edge  6   a  side and the edge  6   b  side, and an end of the inductor conductor portion  12   2  on the edge  6   d  side and the edge  6   a  side is electrically connected through a through hole formed in the inductor layer  6   7 , to an end of the inductor conductor portion  12   5  on the edge  6   d  side and the edge  6   a  side. 
     The ends of the inductor conductor portion  12   7  and the inductor conductor portion  12   1  on the edge  6   a  side and the edge  6   b  side are electrically connected to each other through a through hole formed in the inductor layer  6   2 , and the ends of the inductor conductor portion  12   8  and the inductor conductor portion  12   5  on the edge  6   c  side and the edge  6   d  side are electrically connected to each other through a through hole formed in the inductor layer  6   8 . 
     As described above, the multilayer filter  1  comprises an inductor  10  including a coil in the structure in which the plurality of inductor conductor portions  12   1 - 12   8  in the inductor multilayer section  7  are electrically connected. The series of inductor conductor portions  12   1 - 12   8  are electrically connected at one end to the input terminal electrode  3  and electrically connected at the other end to the output terminal electrode  4 . The inductor conductor portions  12   1 - 12   8  are made of a material containing Ag and Pd. 
     In the varistor multilayer section  9 , the hot electrode (varistor conductor portion)  16  is formed on the varistor layer  8   3  so as to extend in the central region thereof and along the edge  8   b  and one end thereof reaches the edge  8   c  to be electrically connected to the output terminal electrode  4 . The ground electrode (varistor conductor portion)  17  is formed on the varistor layer  8   2  so as to extend in the central region thereof and along the edge  8   a  and the two ends thereof reach the edge  8   b  and the edge  8   d , respectively, to be electrically connected to the ground terminal electrodes  5 . 
     As constructed in this manner, the multilayer filter  1  comprises a varistor  20  including a pair of varistor electrodes in the structure in which the hot electrode  16  electrically connected to the output terminal electrode  4  and the ground electrode  17  electrically connected to the ground terminal electrodes  5  are formed with the varistor layer  8   2  in between in the varistor section. The hot electrode  16  and the ground electrode  17  are made of a material containing Ag and Pd. 
     The inductor conductor portions  12   1 - 12   8  are formed on the respective inductor layers  6   2 - 6   9  and are formed as located 20 μm or more away from the interface P between the inductor multilayer section  7  and the varistor multilayer section  9 . Namely, the thickness D 1  of the inductor layer  6   9  located between the inductor conductor portion  12   8  and the varistor multilayer section  9  is not less than 20 μm. 
     The hot electrode  16  and the ground electrode  17  are formed with the varistor layer  8   2  in between and are formed as located 40 μm or more away from the interface P between the inductor multilayer section  7  and the varistor multilayer section  9 . Namely, the thickness D 2  of the varistor layer  8   1  located between the ground electrode  17  and the inductor multilayer section  7  is not less than 40 μm. 
     The inductor conductor portion  12   7  and inductor conductor portion  12   8  function as lead wire portions to the surface of the laminate  2  among the inductor conductor portions  12   1 - 12   8  and the thickness D 3  of the inductor conductor portion  12   8  in the stack direction is not less than 3 μm. This facilitates the diffusion of Li from the surface of the laminate  2  into the inductor diffusion layer  6 D through the clearance around the inductor conductor portion  12   8 . The thickness of the inductor conductor portion  12   7  in the stack direction may also be not less than 3 μm. This facilitates the diffusion of Li from the surface of the laminate  2  into the inductor layers  6   2 - 6   9  through the clearance around the inductor conductor portion  12   7 . 
     A production method of the above-described multilayer filter  1  will be described below. 
     First, inductor green sheets for inductor layers  6   1 - 6   9  are prepared. The inductor green sheets are made, for example, by preparing a slurry from raw materials of mixed powders of ZnO, Pr 6 O 11 , Cr 2 O 3 , CaCO 3 , SiO 2 , and K 2 CO 3  and applying the slurry onto a film by the doctor blade method. 
     The inductor green sheets for inductor layers  6   1 - 6   8  are formed, for example, by applying the slurry in the thickness of about 20 μm. The inductor green sheet for inductor layer  6   9  is formed by suitably stacking inductor green sheets each of which is composed of a coating approximately 20 μm thick, so that the thickness D 1  after baked becomes not less than 20 μm. 
     Varistor green sheets for varistor layers  8   1 - 8   4  are further prepared. The varistor green sheets are formed, for example, by preparing a slurry from raw materials of mixed powders of ZnO, Pr 6 O 1 , CoO, Cr 2 O 3 , CaCO 3 , SiO 2 , K 2 CO 3 , and Al 2 O 3  and applying the slurry onto a film by the doctor blade method. 
     The varistor green sheets for varistor layers  8   2 - 8   4  are formed, for example, by applying the slurry in the thickness of about 30 μm. The varistor green sheet for varistor layer  8   1  is formed by suitably stacking varistor green sheets each of which is composed of a coating approximately 30 μm thick, so that the thickness D 2  after baked becomes not less than 40 μm. 
     Subsequently, through holes are formed by laser machining or the like at predetermined positions in the inductor green sheets for inductor layers  6   2 - 6   8  (i.e., at the positions where the through holes should be formed in the inductor conductor portions  12   1 - 12   7 ). 
     Thereafter, conductor patterns corresponding to the inductor conductor portions  12   1 - 12   8  are formed on the inductor green sheets for inductor layers  6   2 - 6   9 . The conductor patterns are formed by screen-printing a conductor paste consisting mainly of Ag and Pd, on the inductor green sheets. The inductor conductor portions  12   7 ,  12   8  functioning as lead wires are formed so that the thickness after baked becomes not less than 3 μm. The other inductor conductor portions  12   1 - 12   6  are formed, for example, so that the thickness after baked becomes about 8 μm. The through holes formed in the inductor green sheets for inductor layers  6   2 - 6   8  are filled with a conductor paste by screen printing of the conductor paste onto the inductor green sheets. 
     Conductor patterns corresponding to the hot electrode  16  and the ground electrode  17  are formed on the varistor green sheets for varistor layers  8   2 ,  8   3 . The conductor patterns are formed by screen-printing a conductor paste consisting mainly of Ag and Pd, on the varistor green sheets and, for example, formed so that the thickness after baked becomes about 1.5 μm. 
     Subsequently, the inductor green sheets for inductor layers  6   1 - 6   9  and the varistor green sheets for varistor layers  8   1 - 8   4  are stacked in the predetermined order, and the stack is pressed under pressure and cut in chip unit. Thereafter, it is baked at a predetermined temperature (e.g., a temperature of about 1100-1200° C.) to obtain the laminate  2 . 
     On this occasion, Co and Al diffuse from the varistor green sheet laid adjacent to the inductor green sheet, into the inductor green sheet to form the diffusion layers near the interface P between the inductor green sheet and the varistor green sheet. Namely, the diffusion results in forming the inductor diffusion layer  6 D containing Co and Al, and the varistor diffusion layer with the decreased content of Co and Al. 
     Next, Li is made to diffuse through the clearances around the inductor conductor portions  12   7 ,  12   8  from the surface of the resultant laminate  2  into the inductor layers  6   1 - 6   9 . Particularly, Li is made to diffuse through the clearance around the inductor conductor  12   8  from the surface of the laminate  2  into the inductor diffusion layer  6 D. In this step, a Li compound is attached to the surface of the resultant laminate  2  and thereafter a thermal treatment or the like is carried out. A closed rotary pot can be used for attaching the Li compound. There are no particular restrictions on the Li compound, but it can be any compound that permits Li to diffuse from the surface of the laminate  2  into the interior thereof by the thermal treatment; for example, it can be selected from an oxide, a hydroxide, a chloride, a nitrate, a borate, a carbonate, an oxalate, and others of Li. 
     In this manner, the inductor diffusion layer  6 D comes to contain Li in addition to Co and Al. In addition, the inductor conductor portions  12   1 - 12   8  come to be located 20 μm or more away from the interface P, and the hot electrode  16  and the ground electrode  17  come to be located 40 μm or more away from the interface P. 
     Subsequently, the input terminal electrode  3 , output terminal electrode  4 , and ground terminal electrodes  5  are formed on the exterior of the laminate  2  to complete the multilayer filter  1 . Each of the terminal electrodes  3 - 5  is formed by transferring a conductor paste consisting mainly of Ag, onto the exterior of the laminate  2 , baking it at a predetermined temperature (e.g., a temperature of 700° C.-800° C.), and further electroplating the baked undercoat with Ni/Sn, Cu/Ni/Sn, Ni/Au, Ni/Pd/Au, Ni/Pd/Ag, or Ni/Ag. The size of the completed multilayer filter  1  is 1.0 mm in length, 0.5 mm in width, and 0.5 mm in thickness. 
     As described above, the multilayer filter  1  constitutes an L-type circuit of the inductor  10  and the varistor  20 , as shown in  FIG. 4 , and the inductor  10  has the DC resistance of 4Ω-100Ω. In this configuration, when noise of high voltage over the varistor voltage is applied to the input, the multilayer filter of the present embodiment is able to prevent a rapidly flowing electric current from passing as noise, by the varistor effect. 
     In the multilayer filter  1  of the first embodiment, as described above, the inductor multilayer section  7  and the varistor multilayer section  9  adjacent to each other contain the same component ZnO as a major ingredient, whereby delamination can be prevented between the inductor multilayer section  7  and the varistor multilayer section  9 . 
     When Co and Al in the varistor diffusion layer  8 D diffuse into the inductor diffusion layer  6 D during integral sintering of the laminate  2 , Co acts to increase the permittivity and Al acts to decrease the resistivity; therefore, the permittivity (or capacitance) increases and the resistivity decreases in the inductor diffusion layer  6 D. This results in decreasing the inductor characteristic of the inductor multilayer section  7  and degrading the high frequency characteristic of the multilayer filter  1 . It was found by the inventors&#39; research that in this case the inductor conductor portions  12   1 - 12   8  had to be located 100 μm or more away from the interface P, in order to suppress the degradation of the inductor characteristic of the inductor multilayer section  7 . 
     However, since the inductor diffusion layer  6 D contains Li in the multilayer filter  1  of the first embodiment, it suppresses the increase in the permittivity of the inductor diffusion layer  6 D. As a result, the degradation of the inductor characteristic of the inductor multilayer section  7  due to the diffusion of Co and Al can be suppressed even if the inductor conductor portions  12   1 - 12   8  are located as close as 20 μm from the interface P. Therefore, this multilayer filter  1  is able to suppress the degradation of the high frequency characteristic and is realized in compact size. 
     On the other hand, Co and Al decrease in the varistor diffusion layer  8 D during the integral sintering of the inductor multilayer section  7  and the varistor multilayer section  9 , so as to decrease the permittivity (or capacitance), resulting in substantially failing to exhibit the varistor function. Since the varistor conductor portions  16 ,  17  are located 40 μm or more away from the interface in the multilayer filter  1  of the first embodiment, the varistor conductor portions  16 ,  17  can be arranged away from the varistor diffusion layer  8 D. It is therefore feasible to suppress the degradation of the varistor characteristic of the varistor multilayer section  9  and to suppress the degradation of the high frequency characteristic of the multilayer filter  1 . 
     Since the thickness of the inductor conductor portion  12   8  functioning as a lead conductor is as thick as 3 μm or more in the multilayer filter  1  of the first embodiment, Li can be made to appropriately diffuse through the clearance around the inductor conductor portion  12   8  from the surface of the laminate  2  into the inductor diffusion layer  6 D. Since there is no change in the width of the inductor conductor portion  12   8 , there is no increase in the capacitance parasitic on the inductor conductor portion  12   8 , i.e., the capacitance parasitic on the inductor conductor portions  12   1 - 12   8 . As a result, there occurs no impediment of the inductor characteristic of the inductor multilayer section  7  and no impediment of the high frequency characteristic of the multilayer filter  1 . 
     In the above embodiment the overall size of the multilayer filter  1  was 1.0 mm in length, 0.5 mm in width, and 0.5 mm in thickness, but the overall size does not have to be limited to this size. The aforementioned effect is effective in compact multilayer filters smaller than the overall size of 3.2 mm in length, 1.6 mm in width, and 0.85 mm in thickness. 
     Second Embodiment 
       FIG. 5  is an exploded perspective view showing a separated state of the laminate of the multilayer filter according to the second embodiment and  FIG. 6  a circuit diagram of the multilayer filter according to the second embodiment. The multilayer filter  1  of the second embodiment is different in the configuration of the varistor  20  from the multilayer filter  1  of the first embodiment. 
     Specifically, as shown in  FIG. 5 , the varistor multilayer section  9  is constructed by stacking a plurality of varistor layers  8   3 ,  8   2 ,  8   5  in order between the varistor layer  8   1  and the varistor layer  8   4 . A hot electrode  16   1  is formed on the varistor layer  8   3  so as to extend in the central region thereof and along the edge  8   b  and one end thereof reaches the edge  8   c  to be electrically connected to the output terminal electrode  4 , and a hot electrode  16   2  is formed on the varistor layer  8   5  so as to extend in the central region thereof and along the edge  8   b  and one end thereof reaches the edge  8   a  to be electrically connected to the input terminal electrode  3 . The ground electrode  17  is formed on the varistor layer  8   2  so as to extend in the central region thereof and along the edge  8   a  and the two ends thereof reach the edge  8   b  and the edge  8   d , respectively, to be electrically connected to the ground terminal electrodes  5 . 
     As constructed in this manner, the multilayer filter  1  comprises a varistor  20   1  in the structure in which the hot electrode  16   1  electrically connected to the output terminal electrode  4  and the ground electrode  17  electrically connected to the ground terminal electrodes  5  are formed with the varistor layer  8   3  in between in the varistor multilayer section  9 , and a varistor  20   2  in the structure in which the hot electrode  16   2  electrically connected to the input terminal electrode  3  and the ground electrode  17  electrically connected to the ground terminal electrodes  5  are formed with the varistor layer  8   2  in between in the varistor multilayer section  9 . 
     In the inductor layer  6   9  the inductor diffusion layer  6 D is formed along the interface P and the inductor diffusion layer  6 D contains Li. In the varistor layer  8   1  the varistor diffusion layer  8 D is formed along the interface P. 
     The inductor conductor portions  12   1 - 12   8  are formed on the respective inductor layers  6   2 - 6   9  and are formed as located 20 μm or more away from the interface P between the inductor multilayer section  7  and the varistor multilayer section  9 , as in the first embodiment. Namely, the thickness D 1  of the inductor layer  6   9  is not less than 20 μm. The thickness of the inductor conductor portion  12   8  is not less than 3 μm to facilitate the diffusion of Li from the surface of the laminate  2  into the inductor diffusion layer  6 D. 
     The hot electrodes  16   1 ,  16   2  and the ground electrode  17  are formed on the respective varistor layers  8   3 ,  8   5 ,  8   2  and are formed as located 40 μm or more away from the interface P between the inductor multilayer section  7  and the varistor multilayer section  9 . Namely, the thickness D 2  of the varistor layer  8   1  is not less than 40 μm. 
     The multilayer filter  1  constructed as described above constitutes a π type circuit of the inductor  10  and the varistors  20   1 ,  20   2 , as shown in  FIG. 6 . When noise of high voltage over the varistor voltage is applied to the input, the multilayer filter of the present embodiment is able to prevent a rapidly flowing electric current from passing as noise, by the varistor effect. 
     This multilayer filter  1  of the second embodiment also has the same advantage as the multilayer filter  1  of the first embodiment. 
     Third Embodiment 
       FIG. 7  is a perspective view showing the multilayer filter according to the third embodiment and  FIG. 8  an exploded perspective view showing a separated state of the laminate in the multilayer filter according to the third embodiment.  FIG. 9  is a circuit diagram of the multilayer filter according to the third embodiment. The multilayer filter  1  of the third embodiment is different in arrangement in an array form from the multilayer filter  1  of the first embodiment. 
     Specifically, as shown in  FIG. 7 , the laminate  2  is formed in a structure in which four pairs of input/output terminal electrodes  3 ,  4  are arranged in a row on the two end faces in the direction perpendicular to the longitudinal direction thereof. As shown in  FIG. 8 , four sets of inductor conductor portions  12   1 - 12   8  are arranged in a row in the inductor multilayer section  7 , and four hot electrodes  16  and a pair of ground electrodes  17   1 ,  17   2  are arranged in the varistor multilayer section  9 . 
     The varistor multilayer section  9  is constructed by stacking a plurality of varistor layers  8   2 ,  8   3 ,  8   5  in order between the varistor layer  8   1  and the varistor layer  8   4 . The four hot electrodes  16  are arranged in a row on the varistor layer  8   3 . The ground electrodes  17   1 ,  17   2  of a planar shape are formed on the varistor layers  8   2 ,  8   5 , respectively. Namely, the hot electrodes  16  are interposed between the pair of ground electrodes  17   1 ,  17   2  while facing the pair of ground electrodes  17   1 ,  17   2  in the stack direction of the laminate  2 . 
     In this configuration, four varistors  20  are formed so that each varistor is composed of the hot electrode  16  electrically connected to the output terminal electrode  4 , the ground electrodes  17   1 ,  17   2  electrically connected to the ground terminal electrodes  5 , and the varistor layers  8   2 ,  8   3  between these electrodes. 
     The inductor diffusion layer  6 D is formed along the interface P in the inductor layer  6   9  and the inductor diffusion layer  6 D contains Li. The varistor diffusion layer  8 D is formed along the interface P in the varistor layer  8   1 . 
     The inductor conductor portions  12   1 - 12   8  are formed on the respective inductor layers  6   2 - 6   9  and are formed as located not less than 20 μm nor more than 100 μm away from the interface P between the inductor multilayer section  7  and the varistor multilayer section  9 , as in the first embodiment. Namely, the thickness D 1  of the inductor layer  6   9  is not less than 20 μm nor more than 100 μm. The thickness of the inductor conductor portion  12   8  is not less than 3 μm to facilitate the diffusion of Li from the surface of the laminate  2  into the inductor diffusion layer  6 D. 
     The hot electrodes  16  and the ground electrodes  17   1 ,  17   2  are formed on the varistor layers  8   2 ,  8   3 ,  8   5  and are formed as located 40 μm or more away from the interface P between the inductor multilayer section  7  and the varistor multilayer section  9 . Namely, the thickness D 2  of the varistor layer  8   1  is not less than 40 μm. 
     The multilayer filter  1  constructed as described above constitutes four sets of L-type circuits of the inductors  10  and varistors  20 , as shown in  FIG. 9 . The multilayer filter  1  constructed in the array form as described above also achieves the damping effect. 
     This multilayer filter  1  of the third embodiment also has the same advantage as the multilayer filter  1  of the first embodiment. 
     In the multilayer filter of the array form in which a plurality of filter elements are arranged in a row, an inner filter element tends to have a larger distribution width of an electric field distribution than an outer filter element. It results in increasing element variation (interchannel variation) of parasitic capacitance and increasing element variation (interchannel variation) of high frequency characteristic. 
     In the multilayer filter  1  of the third embodiment, however, the separation distance between the inductor conductor portions  12   1 - 12   8  and the interface P is short, not more than 100 μm, i.e., the separation distance between the inductor conductor portions  12   1 - 12   8  and the varistor conductor portion  17   1  is small, which can reduce increase in the distribution width of the electric field distribution, particularly, in the inner filter element. Therefore, it results in decreasing the element variation of parasitic capacitance value and reducing the element variation of high frequency characteristic. 
     In the multilayer filter  1  of the third embodiment, the hot electrodes  16  in the varistor multilayer section  9  are arranged between the pair of ground electrodes  17   1 ,  17   2 , which can reduce the increase of the capacitance parasitic on the hot electrodes  16  side in the varistor multilayer section  9 . As a result, the degradation of the high frequency characteristic of the multilayer filter  1  is more suppressed. 
     Fourth Embodiment 
       FIG. 10  is an exploded perspective view showing a separated state of the laminate in the multilayer filter according to the fourth embodiment and  FIG. 11  a circuit diagram of the multilayer filter according to the fourth embodiment. The multilayer filter  1  of the fourth embodiment is different in the configuration of the varistors  20  from the multilayer filter  1  of the third embodiment. 
     Specifically, as shown in  FIG. 10 , the varistor multilayer section  9  is constructed by stacking a plurality of varistor layers  8   2 ,  8   3 ,  8   5  in order between the varistor layer  8   1  and the varistor layer  8   4 . Four pairs of hot electrodes  16   1 ,  16   2  are formed on the varistor layer  8   3 . The hot electrodes  16   1  are formed so as to extend along the edge  8   b  from the central region in the direction intersecting with the longitudinal direction on the varistor layer  8   3  and one end of each hot electrode  16   1  reaches the edge  8   c  to be electrically connected to the corresponding output terminal electrode  4 . The hot electrodes  16   2  are formed so as to extend along the edge  8   b  from the central region in the direction intersecting with the longitudinal direction on the varistor layer  8   3  and one end of each hot electrode  16   2  reaches the edge  8   a  to be electrically connected to the corresponding input terminal electrode  3 . The hot electrodes  16   1  and the hot electrode  16   2  are located 100 μm or more away from each other in the direction intersecting with the longitudinal direction. The four pairs of hot electrodes  16   1 ,  16   2  are arranged in a row in the longitudinal direction. 
     The four pairs of hot electrodes  16   1 ,  16   2  are interposed between the ground electrodes  17   1 ,  17   2 . It results in forming four varistors  20   1  in the structure in which the hot electrodes  16   1  electrically connected to the respective output terminal electrodes  4  and the ground electrodes  17   1 ,  17   2  electrically connected to the ground terminal electrodes  5  are formed with the varistor layer  8   2  or  8   3  in between, and four varistors  20   2  in the structure in which the hot electrodes  16   2  electrically connected to the respective input terminal electrodes  3  and the ground electrodes  17   1 ,  17   2  electrically connected to the ground terminal electrodes  5  are formed with the varistor layer  8   2  or  8   3  in between. 
     The inductor diffusion layer  6 D is formed along the interface P in the inductor layer  6   9  and the inductor diffusion layer  6 D contains Li. The varistor diffusion layer  8 D is formed along the interface P in the varistor layer  8   1 . 
     The inductor conductor portions  12   1 - 12   8  are formed on the respective inductor layers  6   2 - 6   9  and are formed as located not less than 20 μm nor more than 100 μm away from the interface P between the inductor multilayer section  7  and the varistor multilayer section  9 , as in the first embodiment. Namely, the thickness D 1  of the inductor layer  6   9  is not less than 20 μm nor more than 100 μm. The thickness of the inductor conductor portion  12   8  is not less than 3 μm so as to facilitate the diffusion of Li from the surface of the laminate  2  into the inductor diffusion layer  6 D. 
     The hot electrodes  16   1 ,  16   2  and the ground electrodes  17   1 ,  17   2  are formed on the varistor layers  8   3 ,  8   2 ,  8   5  and are formed as located 40 μm or more away from the interface P between the inductor multilayer section  7  and the varistor multilayer section  9 . Namely, the thickness D 2  of the varistor layer  8   1  is not less than 40 μm. 
     The multilayer filter  1  constructed as described above constitutes four sets of π type circuits of the inductors  10  and the varistors  20   1 ,  20   2 , as shown in  FIG. 11 . The multilayer filter  1  constructed in the array form as described above also achieves the damping effect. 
     The multilayer filter  1  of the fourth embodiment also has the same advantage as the multilayer filter  1  of the third embodiment. 
     In the multilayer filter  1  of the fourth embodiment, each pair of hot electrodes  16   1 ,  16   2  in the varistor multilayer section  9  in the π-type multilayer filter are arranged on the same plane on the varistor layer  8   3 , and therefore the number of layers in the varistor multilayer section  9  can be reduced. Therefore, it becomes feasible to implement further downsizing of the multilayer filter  1 . 
     Since the pair of hot electrodes  16   1 ,  16   2  are separated 100 μm or more from each other, the increase of parasitic capacitance can be reduced between the input/output terminal electrodes  3 ,  4  in the π-type multilayer filter. Therefore, it can further suppress the degradation of the high frequency characteristic of the multilayer filter  1 . 
     Fifth Embodiment 
       FIG. 12  is an exploded perspective view showing a separated state of the laminate in the multilayer filter according to the fifth embodiment. The multilayer filter  1  of the fifth embodiment is different in the configuration of varistors  20  from the multilayer filter  1  of the fourth embodiment. In other words, the multilayer filter  1  of the fifth embodiment is different in arrangement in an array form from the multilayer filter  1  of the second embodiment. 
     Specifically, as shown in  FIG. 12 , the varistor multilayer section  9  is constructed by stacking a plurality of varistor layers  8   3 ,  8   2 ,  8   6  in order between the varistor layer  8   1  and the varistor layer  8   4 . Four hot electrodes  16   1  are arranged in a row on the varistor layer  8   3  and four hot electrodes  16   2  are arranged in a row on the varistor layer  8   6 . The ground electrode  17  of a planar shape is formed on the varistor layer  8   2 . 
     This results in forming four varistors  20   1  in the structure in which the hot electrodes  16   1  electrically connected to the respective output terminal electrodes  4  and the ground electrode  17  electrically connected to the ground terminal electrodes  5  are formed with the varistor layer  8   3  in between, and four varistors  20   2  in the structure in which the hot electrodes  16   2  electrically connected to the respective input terminal electrodes  3  and the ground electrode  17  electrically connected to the ground terminal electrodes  5  are formed with the varistor layer  8   2  in between. 
     The inductor diffusion layer  6 D is formed along the interface P in the inductor layer  6   9  and the inductor diffusion layer  6 D contains Li. The varistor diffusion layer  8 D is formed along the interface P in the varistor layer  8   1 . 
     The inductor conductor portions  12   1 - 12   8  are formed on the respective inductor layers  6   2 - 6   9  and are formed as located not less than 20 μm nor more than 100 μm away from the interface P between the inductor multilayer section  7  and the varistor multilayer section  9 , as in the first embodiment. Namely, the thickness D 1  of the inductor layer  6   9  is not less than 20 μm nor more than 100 μm. The thickness of the inductor conductor portion  12   8  is not less than 3 μm to facilitate the diffusion of Li from the surface of the laminate  2  into the inductor diffusion layer  6 D. 
     The hot electrodes  16   1 ,  16   2  and the ground electrodes  17   1 ,  17   2  are formed on the varistor layers  8   3 ,  8   2 ,  8   5  and are formed as located 40 μm or more away from the interface P between the inductor multilayer section  7  and the varistor multilayer section  9 . Namely, the thickness D 2  of the varistor layer  8   1  is not less than 40 μm. 
     The multilayer filter  1  constructed as described above constitutes four sets of π type circuits of the inductors  10  and the varistors  20   1 ,  20   2 , as shown in  FIG. 11 . The multilayer filter  1  constructed in the array form as described above also achieves the damping effect. 
     The multilayer filter  1  of the fifth embodiment also has the same advantage as the multilayer filter  1  of the fourth embodiment. 
     It should be noted that the present invention is not limited to the above-described embodiments but can be modified in various ways. 
     EXAMPLES 
     The present invention will be described below in further detail with examples, but the present invention is by no means intended to be limited to the examples. 
     Example 1 
     Production of Multilayer Filters 
     First, samples of multilayer filters were produced according to the aforementioned production method of multilayer filter  1 . As a first step, we prepared a paste for formation of varistor layers containing ZnO and additives of Pr 6 O 11 , CoO, Cr 2 O 3 , CaCO 3 , SiO 2 , K 2 CO 3 , and Al 2 O 3  and a paste for formation of inductor layers containing ZnO and additives of Pr 6 O 11 , Cr 2 O 3 , CaCO 3 , SiO 2 , and K 9 CO 3 . 
     Subsequently, these pastes were used to produce varistor green sheets and inductor green sheets. Thereafter, a conductor paste for formation of the hot electrode and ground electrode (varistor conductor portions) or for formation of inductor conductors (inductor conductor portions) was applied onto each sheet by screen printing to obtain the pattern as shown in  FIG. 2 . The paste for formation of the hot electrode, the ground electrode, and the inductor conductors was one containing Pd as a major ingredient. 
     Then the sheets with the conductor paste (varistor green sheets and inductor green sheets) were stacked in the order shown in  FIG. 2 , pressed under pressure, and baked to form the laminate. Thereafter, a Li compound was attached to the surface of this laminate and a thermal treatment was conducted to diffuse Li through the clearance around the lead conductor in the inductor conductors, from the surface of the laminate into the inductor diffusion layer. Then a Ag paste was printed and baked on this laminate to form the input/output electrodes and the ground electrodes, thereby obtaining each sample of the multilayer filter having the structure shown in  FIGS. 1 ,  2 , and  3 . 
     In this Example 1, multilayer filters S 1  for evaluation were fabricated, for characteristic evaluation of permittivity in the inductor multilayer section  7  and the varistor multilayer section  9 . Specifically, a pair of internal electrodes parallel in the stack direction were provided in each of the inductor multilayer section  7  and the varistor multilayer section  9  in each multilayer filter to fabricate a multilayer filter S 1 .  FIG. 13  is a drawing schematically showing a sectional structure of the multilayer filters S 1  in a state in which the two pairs of internal electrodes are provided in the inductor multilayer section and the varistor multilayer section. In  FIG. 13 , the inductor conductor portions and the varistor electrode pair are omitted from the illustration. 
     A pair of internal electrodes  31 ,  32  are formed in the inductor multilayer section  7 . The internal electrode  32  is formed on the varistor multilayer section  9  side. The internal electrode  31  is provided so as to be exposed in the surface of the laminate  2  where the input terminal electrode  3  is formed, and the internal electrode  31  is electrically connected to the input terminal electrode  3 . The internal electrode  32  is provided so as to be exposed in the surface of the laminate  2  where the output terminal electrode  4  is formed, and the internal electrode  32  is electrically connected to the output terminal electrode  4 . The internal electrodes  31 ,  32  are arranged in no contact with the inductor conductor portions. 
     A pair of internal electrodes  33 ,  34  are formed in the varistor multilayer section  9 . The internal electrode  33  is formed on the inductor multilayer section  7  side. The internal electrode  33  is provided so as to be exposed in the surface of the laminate  2  where the input terminal electrode  3  is formed, and the internal electrode  33  is electrically connected to the input terminal electrode  3 . The internal electrode  34  is provided so as to be exposed in the surface of the laminate  2  where the output terminal electrode  4  is formed, and the internal electrode  34  is electrically connected to the output terminal electrode  4 . The internal electrodes  33 ,  34  are arranged in no contact with the varistor electrode pair. 
     A plurality of multilayer filters S 1  were prepared by changing the distance DS 1  between the internal electrode  32  formed on the varistor multilayer section  9  side in the inductor multilayer section  7 , and the interface P, and the thickness of the internal electrode  32 . Furthermore, a plurality of multilayer filters S 1  were also prepared by changing the distance DS 2  between the internal electrode  33  on the inductor multilayer section  7  side in the varistor multilayer section  9 , and the interface P. Each of the multilayer filters S 1  was formed with the same distance and the same overlap area between the internal electrode  31  and the internal electrode  32 , and the same distance and the same overlap area between the internal electrode  33  and the internal electrode  34 . 
     (Evaluation of Permittivity of Inductor Multilayer Section and Varistor Multilayer Section) 
     The capacitance was measured with the internal electrodes formed in each multilayer filter S 1 . The capacitance was measured under the conditions of 1 MHz and the input signal level (measurement voltage) of 1 Vrms with an impedance analyzer (4284A available from Hewlett-Packard Ltd.). The relative permittivity between each pair of internal electrodes can be evaluated from the value of capacitance C according to the equation of ε′=Cd/ε 0 S. In the equation, ε 0  is the permittivity of vacuum, d the distance between a pair of internal electrodes, and S the overlap area between a pair of internal electrodes. 
     The results of the above measurement are shown in  FIGS. 14 and 15 .  FIG. 14  is a drawing showing relations between the distance DS 1  between the internal electrode  32  in the inductor multilayer section  7  and the interface P and the capacitance dependent on the relative permittivity of the inductor layer between the internal electrode  32  and the internal electrode  31 , using the thickness DS 3  of the internal electrode  32  as a parameter  FIG. 15  is a drawing showing a relation between the distance DS 2  between the internal electrode  33  in the varistor multilayer section  9  and the interface P and the capacitance dependent on the relative permittivity of the inductor layer between the internal electrode  33  and the internal electrode  34 . 
     As shown in  FIG. 14 , when the thickness DS 3  of the internal electrode  32  is as small as 1.1 μm, the capacitance is relatively high and the change in permittivity is relatively large to the values of distance DS 1 . It is presumed from this result that in the inductor multilayer section  7  the diffusion of Li is little from the surface of the laminate  2  into the inductor diffusion layer  6 D and thus the content of Li is small in the inductor diffusion layer  6 D, so as to cause a substantial impediment of the function of the inductor layer. In this case, in order to keep the value of capacitance relatively low and stable relative to the values of distance DS 1 , the distance DS 1  needs to be increased to 88 μm and, more preferably, to 97 μm. Namely, the distance from the interface P needs to be not less than 100 μm in the inductor multilayer section  7 . 
     On the other hand, as the thickness DS 3  of the internal electrode  32  becomes larger, 1.9 μm, 2.8 μm, or 4.4 μm, the capacitance becomes relatively lower and the change in permittivity becomes smaller relative to the values of distances DS 1 . At the thickness DS 3 =2.8 μm, the capacitance is relatively low and stable against the values of distance DS 1  even if the distance DS 1  is decreased to 20 μm. It is presumed from this result that in the inductor multilayer section  7  the diffusion of Li is appropriately effected from the surface of the laminate  2  into the inductor diffusion layer  6 D and the content of Li in the inductor diffusion layer  6 D becomes appropriate, so as to suppress the degradation of the function of the inductor layer. Namely, when the inductor multilayer section  7  has the inductor layer wherein the thickness of the lead conductor portion  12   8  among the inductor conductor portions  12   1 - 12   8  is not less than 3 μm and wherein the distance from the interface P is not less than 20 μm, the value of relative permittivity is low and stable against the distance from the interface P. 
     As shown in  FIG. 15 , when the distance DS 2  is in the range of 0-27 μm, the capacitance is relatively low and the function of the varistor layer is not substantially exhibited. Furthermore, the change in permittivity is large against the values of distance DS 2 . When the distance DS 2  is not less than 40 μm, the value of capacitance is relatively high and stable against the values of distance DS 2 . Namely, when the varistor multilayer section  9  has the varistor layer wherein the distance from the interface P is not less than about 40 μm, the value of relative permittivity is high and stable against the distance from the interface P. 
     (Evaluation of Delamination Between Inductor Multilayer Section and Varistor Multilayer Section) 
     Each of the multilayer filters S 1  was observed and no delamination was recognized between the inductor multilayer section  7  and the varistor multilayer section  9  in all the multilayer filters. 
     It was thus confirmed that delamination was very unlikely to occur between the varistor section and the inductor section in the multilayer filters with the varistor layers containing ZnO as a major ingredient and the additives of Pr, Co, and Al and the inductor layers containing ZnO as a major ingredient and containing no substantial amount of Co and Al. The inductor layers with the inductor conductor portions being formed in this multilayer filters had the relative permittivity of less than 50 and the resistivity of more than 1 MΩ, and it was thus confirmed that the filters were adequately applicable to practical use as inductors. 
     Example 2 
     Fabrication of Multilayer Filters 
     Samples of multilayer filters having the structure of the array form shown in  FIGS. 7 and 8  were prepared in the same manner as in Example 1, according to the aforementioned production method of multilayer filter  1 . In this Example 2, multilayer filters S 2  for evaluation were also prepared for characteristic evaluation of permittivity in the inductor multilayer section  7  and the varistor multilayer section  9 . Namely, as shown in  FIG. 13 , the multilayer filters S 2  of the array form were prepared in the structure in which four sets of two pairs of internal electrodes  31 - 34  are arranged in a row in the inductor multilayer section  7  and the varistor multilayer section  9 . The size of the multilayer filters S 2  was 2.0 mm in length×1.0 mm in width×0.8 mm in thickness. The size of each hot electrode in the multilayer filters S 2  was 0.6 mm×0.235 mm. 
     A plurality of multilayer filters S 2  were prepared with change in the distance DS 1  between the internal electrodes  32  formed on the varistor multilayer section  9  side in the inductor multilayer section  7  and the interface P. 
     (Evaluation of Permittivity of Inductor Multilayer Section and Varistor Multilayer Section) 
     The capacitance was measured with the internal electrodes formed in each multilayer filter S 2 , in the same manner as in Example 1. The results of this measurement are shown in  FIG. 16 .  FIG. 16  is a drawing showing relations between the distance DS 1  between the inductor conductor portions  12   1 - 12   8  in the inductor multilayer section  7  and the interface P and the capacitance dependent on the relative permittivity of the inductor layer between the inductor conductor portions  12   1 - 12   8  and the varistor conductor portions  16 ,  17 , for respective channels (filter elements of the array form). 
     As shown in  FIG. 16 , when the distance DS 1  is more than 107 μm, the interchannel variation (element variation) of capacitance is relatively large. When the distance DS 1  is not more than 107 μm and, more preferably, not more than 86 μm, the interchannel variation (element variation) of capacitance is relatively small. Namely, the interchannel variation (element variation) of capacitance is relatively small when the separation distance is kept not more than 100 μm between the inductor conductor portions  12   1 - 12   8  and the interface P in the inductor multilayer section  7 . 
     The ground electrode in the varistor section was only one layer in the first embodiment, the second embodiment, and the fifth embodiment, but the filter may be provided with two ground electrode layers. The ground electrodes in the varistor section were the two layers in the third embodiment and the fourth embodiment, but the filter may be provided with only one ground electrode layer.