World Journal of Engineering Research and Technology

Prof. Dr. Huynh Van Cong*

ABSTRACT

In the - crystalline alloy, , x being the concentration, the optical coefficients, and the electrical-and-thermoelectric laws, relations, and various coefficients, being enhanced by : (i) our static dielectric constant law, , being the donor (acceptor) d(a)-radius, given in Equations (1a, 1b), (ii) our accurate Fermi energy, , given in Eq. (11) and accurate with a precision of the order of [9], affecting all the expressions of optical, and electrical-and-thermoelectric coefficients , (iii) our optical-and-electrical transformation duality given in Eq. (15), and finally (iv) our optical-and-electrical conductivity models, given in Eq. (18, 20), are now investigated, basing on our physical model, andFermi-Dirac distribution function, as those given in our recent works.[1, 2] Then, some important remarks can be repoted as follows. (1) From Eq. (16), by basing on: and , determined in Equations (17, 18), one obtains: (i) as , one gets: , , , and , as those obtained in our previous work[2], and (ii) as , constant, constant, constant, constant, , constant, and , as those obtained in our previous work.[2] (2) From Equations (20-26), for any given x, and N (or T), with increasing T (or 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 , , as those given in our recent work.[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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