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Title: The stochastic model for ternary and quaternary alloys: Application of the Bernoulli relation to the phonon spectra of mixed crystals

To understand and interpret the experimental data on the phonon spectra of the solid solutions, it is necessary to describe mathematically the non-regular distribution of atoms in their lattices. It appears that such description is possible in case of the strongly stochastically homogenous distribution which requires a great number of atoms and very carefully mixed alloys. These conditions are generally fulfilled in case of high quality homogenous semiconductor solid solutions of the III–V and II–VI semiconductor compounds. In this case, we can use the Bernoulli relation describing probability of the occurrence of one n equivalent event which can be applied, to the probability of finding one from n configurations in the solid solution lattice. The results described in this paper for ternary HgCdTe and GaAsP as well as quaternary ZnCdHgTe can provide an affirmative answer to the question: whether stochastic geometry, e.g., the Bernoulli relation, is enough to describe the observed phonon spectra.
Authors:
; ; ;  [1] ;  [2] ; ;  [3]
  1. Faculty of Mathematics and Natural Sciences, Centre for Microelectronics and Nanotechnology, University of Rzeszów, Pigonia 1, 35-959 Rzeszów (Poland)
  2. Institute of Physics, Jagiellonian University, Reymonta 4, Kraków 30-059 (Poland)
  3. INFN-Laboratori Nazionali di Frascati, Via E. Fermi 40, I-00044 Frascati (Italy)
Publication Date:
OSTI Identifier:
22271220
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Applied Physics; Journal Volume: 115; Journal Issue: 11; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ATOMS; CADMIUM TELLURIDES; CRYSTALS; ENERGY SPECTRA; GALLIUM ARSENIDES; GALLIUM PHOSPHIDES; MERCURY COMPOUNDS; PHONONS; QUATERNARY ALLOY SYSTEMS; SEMICONDUCTOR MATERIALS; SOLID SOLUTIONS; STOCHASTIC PROCESSES; TERNARY ALLOY SYSTEMS; ZINC COMPOUNDS