GLOBAL EINSTEIN -AND- VAN CONG RELATIONS, AND NEW OPTICAL-ELECRICAL-THERMOELECTRIC LAWS IN N(P)-TYPE DEGENERATE (OR VISCOUS) GaTe(1-x)Sb(x)-CRYSTALLINE ALLOY, ENHANCED BY OUR STATIC DIELECTRIC CONSTANT LAW, CONDUCTIVITY MODEL, AND ESPECIALLY ACCURATE

In degenerate - crystalline alloy, , the Global Einstein -and- Van Cong relations, as those given in Equations (24, 31), and various optical-electrical-thermoelectric laws, enhanced by: the optico-electrical phenomenon (O-EP) and the electro-optical phenomenon (E-OP), as those defined in Eq. (15), our static dielectric constant law given in Equations (1a, 1b), our conductivity model in Eq. (18), and especially our accurate Fermi energy expression in Eq. (11), are now investigated, by basing on the same physical model and the mathematical treatment method, as those used in our recent works [1-5]. Their numerical results are obtained and given in Tables (3-13), suggesting an equivalence between the degeneracy-and-viscosity concept in this X(x)-degenerate (viscous) crystalline alloy. Here, the well-known “local” Einstein relation, being valid only at the lowest degeneracy (or viscosity), is now globalized by our “Global” Einstein and- Van Cong relations, valid at any degeneracy (or viscosity), as showed in Equations (24, 31).

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-01
DOI
https://doi.org/10.5281/zenodo.19906083
Primary Topic
Advanced Thermoelectric Materials and Devices
Type
article
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article

GLOBAL EINSTEIN -AND- VAN CONG RELATIONS, AND NEW OPTICAL-ELECRICAL-THERMOELECTRIC LAWS IN N(P)-TYPE DEGENERATE (OR VISCOUS) GaTe(1-x)Sb(x)-CRYSTALLINE ALLOY, ENHANCED BY OUR STATIC DIELECTRIC CONSTANT LAW, CONDUCTIVITY MODEL, AND ESPECIALLY ACCURATE

Prof. Dr. Huynh Van Cong*
Zenodo (CERN European Organization for Nuclear Research)
Advanced Thermoelectric Materials and Devices
article

GLOBAL EINSTEIN -AND- VAN CONG RELATIONS, AND NEW OPTICAL-ELECRICAL-THERMOELECTRIC LAWS IN N(P)-TYPE DEGENERATE (OR VISCOUS) GaTe(1-x)Sb(x)-CRYSTALLINE ALLOY, ENHANCED BY OUR STATIC DIELECTRIC CONSTANT LAW, CONDUCTIVITY MODEL, AND ESPECIALLY ACCURATE

Prof. Dr. Huynh Van Cong*
article en

Abstract

In degenerate - crystalline alloy, , the Global Einstein -and- Van Cong relations, as those given in Equations (24, 31), and various optical-electrical-thermoelectric laws, enhanced by: the optico-electrical phenomenon (O-EP) and the electro-optical phenomenon (E-OP), as those defined in Eq. (15), our static dielectric constant law given in Equations (1a, 1b), our conductivity model in Eq. (18), and especially our accurate Fermi energy expression in Eq. (11), are now investigated, by basing on the same physical model and the mathematical treatment method, as those used in our recent works [1-5]. Their numerical results are obtained and given in Tables (3-13), suggesting an equivalence between the degeneracy-and-viscosity concept in this X(x)-degenerate (viscous) crystalline alloy. Here, the well-known “local” Einstein relation, being valid only at the lowest degeneracy (or viscosity), is now globalized by our “Global” Einstein and- Van Cong relations, valid at any degeneracy (or viscosity), as showed in Equations (24, 31).

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GLOBAL EINSTEIN -AND- VAN CONG RELATIONS, AND NEW OPTICAL-ELECRICAL-THERMOELECTRIC LAWS IN N(P)-TYPE DEGENERATE (OR VISCOUS) GaTe(1-x)Sb(x)-CRYSTALLINE ALLOY, ENHANCED BY OUR STATIC DIELECTRIC CONSTANT LAW, CONDUCTIVITY MODEL, AND ESPECIALLY ACCURATE — Prof. Dr. Huynh Van Cong* · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS