World Journal of Engineering Research and Technology

Prof. Dr. Huynh Van Cong*

ABSTRACT

In the - crystalline alloy, , the electrical-and-thermoelectric laws, relations, and various coefficients, enhanced by our static dielectric constant law given in Equations (1a, 1b) and new electrical conductivity in Eq. (14), and by our accurate Fermi energy given in Eq. (11), are now investigated, by basing on the same physical model and mathematical treatment method, as those used in our recent works (Van Cong, 2024, 2025). It should be noted here that, for x=0, these obtained numerical results may be reduced to those given in n(p)-type degenerate GaSb-crystal. Then, some remarkable results could be cited in the following. In Tables 5n(5p) given Appendix 1, for a given impurity density and with increasing temperature T, and then in Tables 6n(6p) given Appendix 1, for a given and with decreasing N, the reduced Fermi-energydecreases, and other thermoelectric coefficients are in variations, as indicated by the arrows by: (increase: , decrease: ). Further, one notes in these Tables that with increasing T (or with decreasing N) one obtains: (i) for , while the numerical results of the Seebeck coefficient S present a same minimum , those of the figure of merit ZT show a same maximum , (ii) for , the numerical results of S, ZT, the Mott figure of merit , the first Van-Cong coefficient VC1, and the Thomson coefficient present the same results: , 0.715, 3.290, , and , respectively, and finally (iii) for , . It seems that these same results could represent a new law in the thermoelectric properties, obtained in the degenerate case.

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