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Debye‐Waller Factor for a Vacancy‐Trapped Mössbauer Impurity in Metallic Solid Solutions
Author(s) -
Tewari A. K.,
Roy S. K.,
Bhattacharya D. L.
Publication year - 1980
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220980134
Subject(s) - vacancy defect , impurity , debye–waller factor , condensed matter physics , debye , trapping , cubic crystal system , crystal (programming language) , solid solution , materials science , crystallographic defect , debye model , aluminium , atomic physics , chemistry , physics , scattering , ecology , organic chemistry , computer science , optics , metallurgy , biology , programming language
The effect of vacancy trapping of 57 Fe atoms present as a dilute impurity in solid solution of aluminium, on the Debye‐Waller factor is evaluated theoretically in the harmonic approximation in the high temperature limit with the help of the double‐time Green function technique. The change in the recoil‐free fraction for the impurity atoms in the presence of nearby vacancies is estimated by using the force constants obtained from the usual Debye relation. A significant change in the Debye‐Waller factor is found with the rise in temperature indicating the effect of temperature on the amount of trapping of point defects by the impurity atoms. The contributions due to the substitutional impurity alone and that in presence of a vacancy adjacent to it are evaluated for a simple cubic crystal with nearest‐neighbour central‐force interactions and are discussed for the zero phonon process.