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A New Group‐Theoretical Approach to Cell‐Preserving Phase Transitions in Crystals
Author(s) -
Aoyei A. K.,
Birman J. L.
Publication year - 1977
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.2220820219
Subject(s) - crystal (programming language) , group (periodic table) , space (punctuation) , independence (probability theory) , phase transition , crystallography , crystal structure , simple (philosophy) , phase (matter) , condensed matter physics , materials science , chemistry , physics , mathematics , quantum mechanics , computer science , philosophy , statistics , epistemology , programming language , operating system
In a previous paper the crystal space group representations associated with cell‐preserving phase transitions and the independence of sublattice transitions were investigated. Based on that paper, a simple method for determining the space group and microscopic structure of the daughter crystal arising in any such transition is developed. In the process a new, “site” subduction criterion is derived, which is more restrictive than the Birman subduction criterion. The theory is applied to the structural transition that occurs in the A‐15 compounds. The daughter‐crystal space group of V 3 Si and Nb 3 Sn is found to be C 7 4V . This group and the predicted microscopic daughter‐crystal structure are consistent with the available experimental data.