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Incomplete Gamma Functions and Lattice Sums for B.C.C. Structures
Author(s) -
Gupta K. C.,
Agrawal R. M.,
Rathore R. P. S.
Publication year - 1983
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.2221180146
Subject(s) - lattice (music) , mathematics , pure mathematics , combinatorics , physics , statistical physics , acoustics
Certain wave vector dependent lattice sums which extend over the entire lattice are computed for b.c.c. structures by the method of Born and Bradburn. These lattice sums are of general importance in the studies of some thermodynamical properties of lattices particularly the vibrational studies. All the needed values of incomplete gamma functions are also presented since they are required in the evaluation of the lattice sums in general.