World Journal of Engineering Research and Technology

Prof. Dr. Huynh Van Cong*

ABSTRACT

In the n+(p+) − p(n) ????????????????−???????????????? - crystalline alloy, 0 ≤ ???? ≤ 1, theelectrical-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 accurateFermi energy given in Eq. (11), are now investigated, by basing on thesame physical model and mathematical treatment method, as thoseused in our recent works (Van Cong, 2024, 2025). It should be notedhere that, for x=0, these obtained numerical results may be reduced tothose given in n (p)-type degenerate GaP-crystal. Then, someremarkable results could be cited in the following. In Tables 5n (5p)given Appendix 1, for a given impurity density N and with increasingtemperature T, and then in Tables 6n (6p) given Appendix 1, for agiven T and with decreasing N, the reduced Fermi-energy ξn(p) decreases, and otherthermoelectric 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 ξn(p) ≃ 1.8138, while the numerical results of the Seebeck coefficient Spresent a same minimum those of the figure of merit ZT show asame maximum (ii) for the numerical results of S, ZT, the Mottfigure of merit (ZT)Mott, the first Van-Cong coefficient VC1, and the Thomson coefficient Ts, present the same results , 0.715, 3.290, and respectively, and finally (iii) for , (ZT)Mott = 1. It seems that these same results could represent a new law in the thermoelectric properties, obtained in the degenerate case.

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