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Thermal expansion and volume change of crystals containing substitutional point imperfections
Author(s) -
Timmesfeld K. H.,
Elliott R. J.
Publication year - 1970
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.19700420244
Subject(s) - thermal expansion , anharmonicity , volume (thermodynamics) , materials science , thermal , crystal (programming language) , condensed matter physics , crystallographic defect , negative thermal expansion , thermodynamics , physics , composite material , computer science , programming language
The change in volume and thermal expansion coefficient of a crystal by the introduction of point defects is investigated. These effects have three contributions: 1. a change in the spring constants around the defect, 2. a change in anharmonicity around the defect, 3. the changed normal modes of the crystal containing defects. These three contributions partly cancel so that the resulting change in thermal expansion coefficient may be positive or negative. Especially in the case of the occurrence of a low frequency resonance a dip or bump in the low temperature region of the thermal expansion coefficient may occur.