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A Reexamination of the Continuum Approach to the Calculation of Lattice Sums
Author(s) -
Mohazzabi P.,
Behroozi F.
Publication year - 1987
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.2221440202
Subject(s) - inverse , interatomic potential , lattice (music) , hexagonal crystal system , crystal structure , amorphous solid , statistical physics , physics , hexagonal lattice , simple (philosophy) , materials science , condensed matter physics , theoretical physics , mathematics , molecular dynamics , chemistry , quantum mechanics , crystallography , geometry , philosophy , epistemology , antiferromagnetism , acoustics
The continuum approach of Born and his collaborators to the calculation of simple lattice sums, originally suggested for large‐inverse‐power interatomic potentials in cubic crystals, is reexamined. Explicit calculations show that the model is an effective approximation not only for large powers of the inverse interatomic potential, but for all powers as low as n = 4. Furthermore, the method is shown to be applicable to any solid regardless of its crystal structure. The hexagonal close‐packed case is considered as an example. The model is expected to be useful for amorphous solids and liquids.