NEW DIFFUSION-MOBILITY-VISCOSITY-ACTIVATION ENERGY-FERMI ENERGY RELATIONS AND OPTICAL-ELECTRICAL-THERMOELECTRIC LAWS, INVESTIGATED IN N(P)-TYPE DEGENERATE "COMPENSATED" GATE(1-X) P(X)-CRYSTALLINE ALLOY, SUGGESTING A SAME VISCOSITY PHENOMENON OBSERVED

In degenerate - crystalline alloy, , various optical, electrical and thermoelectric laws and Stokes-Einstein-Sutherland-Reynolds-Van Cong relations, enhanced by: the optico-electrical phenomenon (O-EP) and the electro-optical phenomenon (E-OP), our static dielectric constant law given in Equations (1a, 1b), our accurate Fermi energy expression given in Eq. (11), and finally our conductivity model given in Eq. (18), are now investigated, by basing on the same physical model and the mathematical treatment method, as those used in our recent works.[1-5] One notes that, for x=0, this crystalline alloy is reduced to the n(p)-type degenerate -crystal. Some concluding remarks are given as follows. -By basing on our optical [electrical] conductivity models, , given in Eq. (18), all the optical, electrical, thermoelectric coefficients have been determined, as those given in Equations (19a-19d, 20a-20d, 21-31). In particular, for the physical conditions, as those given in Eq. (15), one remarks that the optical conductivity, , obtained from the O-EP, has a same form with that of the electrical conductivity, given from the E-OP, , as those determined in Eq. (20a), but since , and , being the unperturbed reduced effective electron (hole) mass in conduction (valence) bands and the relative carrier mass, respectively. Finally, the numerical results of such optical, electrical and thermoelectric coefficients, calculated by using Equations (18, 19a-19d, 20a-20d, 21-31), are reported in Tables 3-13, suggesting a same viscosity phenomenon observed in both liquids and solids.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-12-31
DOI
https://doi.org/10.5281/zenodo.18107829
Primary Topic
Thermoelastic and Magnetoelastic Phenomena
Type
article
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article

NEW DIFFUSION-MOBILITY-VISCOSITY-ACTIVATION ENERGY-FERMI ENERGY RELATIONS AND OPTICAL-ELECTRICAL-THERMOELECTRIC LAWS, INVESTIGATED IN N(P)-TYPE DEGENERATE "COMPENSATED" GATE(1-X) P(X)-CRYSTALLINE ALLOY, SUGGESTING A SAME VISCOSITY PHENOMENON OBSERVED

Prof. Dr. Huynh Van Cong*
Zenodo (CERN European Organization for Nuclear Research)
Thermoelastic and Magnetoelastic Phenomena
article

NEW DIFFUSION-MOBILITY-VISCOSITY-ACTIVATION ENERGY-FERMI ENERGY RELATIONS AND OPTICAL-ELECTRICAL-THERMOELECTRIC LAWS, INVESTIGATED IN N(P)-TYPE DEGENERATE "COMPENSATED" GATE(1-X) P(X)-CRYSTALLINE ALLOY, SUGGESTING A SAME VISCOSITY PHENOMENON OBSERVED

Prof. Dr. Huynh Van Cong*
article en

Abstract

In degenerate - crystalline alloy, , various optical, electrical and thermoelectric laws and Stokes-Einstein-Sutherland-Reynolds-Van Cong relations, enhanced by: the optico-electrical phenomenon (O-EP) and the electro-optical phenomenon (E-OP), our static dielectric constant law given in Equations (1a, 1b), our accurate Fermi energy expression given in Eq. (11), and finally our conductivity model given in Eq. (18), are now investigated, by basing on the same physical model and the mathematical treatment method, as those used in our recent works.[1-5] One notes that, for x=0, this crystalline alloy is reduced to the n(p)-type degenerate -crystal. Some concluding remarks are given as follows. -By basing on our optical [electrical] conductivity models, , given in Eq. (18), all the optical, electrical, thermoelectric coefficients have been determined, as those given in Equations (19a-19d, 20a-20d, 21-31). In particular, for the physical conditions, as those given in Eq. (15), one remarks that the optical conductivity, , obtained from the O-EP, has a same form with that of the electrical conductivity, given from the E-OP, , as those determined in Eq. (20a), but since , and , being the unperturbed reduced effective electron (hole) mass in conduction (valence) bands and the relative carrier mass, respectively. Finally, the numerical results of such optical, electrical and thermoelectric coefficients, calculated by using Equations (18, 19a-19d, 20a-20d, 21-31), are reported in Tables 3-13, suggesting a same viscosity phenomenon observed in both liquids and solids.

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