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6.4 ELECTRIC PROPERTIES                                                      FUNDAMENTALS
                    Z is called “Thermoelectric Figure of Merit  typical thermoelectric material used in Peltier cool-
                  (FOM)” and is an important performance measure of  ing module, is known around 0.003 K  1  at room tem-
                  thermoelectric materials. It has a unit of inverse tem-  perature; on the other hand, Si Ge 20  alloy has a  Z
                                                                                           80
                            1
                  perature (K ).                                 value around 0.0008 K  1  at 1,000 K. Fig. 6.4.15
                    Since the thermoelectric effects are reversible phe-  shows thermoelectric properties of polycrystalline
                  nomena, the electrical-to-thermal energy conversion  Si Ge alloy measured from 300 to 1,300 K [2].
                                                                  95
                                                                      5
                  has a similar configuration as shown in Fig. 6.4.14b. In
                  this case, the thermoelectric materials work as a solid-  6.4.3.1 Measurement method for thermoelectric
                  state heat pump operated by an external electric cur-  materials
                  rent source. The maximum heat transfer from the low
                  temperature to high temperature side at specific power  Practically, the thermoelectric properties  , S and  ,
                  consumption is called as “Coefficient of Performance  should be evaluated with a same sample to determine
                  (COP),” and can be expressed as follows [1].   the  Z value, because we cannot expect uniformity
                                                                 among samples. The details to measure the electrical
                                                                 conductivity and thermal properties are mentioned in
                         Q       T    1   ZT ave   T T    L      the Sections 6.4.2 and 6.3.1, respectively. References
                                                H
                           IN     L                    (6.4.11)  on the measurement techniques for thermoelectric
                          P IN  T H   T L  1   ZT ave   1        materials are available at Japanese Industrial Standard
                                                                 (JIS), such as JIS-R-1650-1 (Seebeck coefficient),
                  As seen in equations (6.4.10) and (6.4.11), an evalua-  1650-2 (Electrical resistivity), 1650-3 (thermal con-
                  tion of Z (or dimensionless value ZT ) is of importance  ductivity).
                  in thermoelectric energy conversion applications,  In this section, the principles of measuring impor-
                  which require the measurement of   ,  S and    of a  tant physical properties of thermoelectric materials,
                  sample at a specific range of temperatures. For exam-  such as Seebeck coefficient and Figure of Merit, are
                  ples,  Z value for (Bi Te )  (Sb Te ) (x 0.7–0.9),  outlined.
                                    2
                                       3 1 x
                                             2
                                               3 x

































                  Figure 6.4.15
                  Thermoelectric properties of SiGe alloy [2]. (a) The electrical resistivity (inverse electrical conductivity  ), (b) the
                  Seebeck coefficient S, (c) thermal conductivity   and (d) the thermoelectric Figure of Merit Z. Open circles, filled
                  circles, filled square and filled triangle correspond to P-doped Si Ge , P/GaP doped Si Ge , Si Ge , respectively.
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