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On the Tammann–Rule
Author(s) -
Merkle Rotraut,
Maier Joachim
Publication year - 2005
Publication title -
zeitschrift für anorganische und allgemeine chemie
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 66
eISSN - 1521-3749
pISSN - 0044-2313
DOI - 10.1002/zaac.200400540
Subject(s) - materials science , simple (philosophy) , point (geometry) , statistical physics , physics , mathematics , geometry , philosophy , epistemology
The validity of Tammann 's rule is related to the fact that the unavoidable thermal generation of point defects leads to defect‐defect interactions and finally to a breakdown of the structure. It is shown that the onset of this defect avalanche, which can be estimated by a cube root law, roughly corresponds to the Tammann temperature. The investigation of simple compounds corroborates this picture and also the observation of a critical defect concentration. Examples are given that Tammann 's rule can be used to systematically search for new solid electrolytes.