Open AccessExtended Watson integrals for the cubic lattices
Author(s) -
M. L. Glasser,
I. J. Zucker
Publication year - 1977
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.74.5.1800
Subject(s) - watson , cubic crystal system , simple cubic lattice , lattice (music) , cubic form , simple (philosophy) , cubic function , molecular structure of nucleic acids: a structure for deoxyribose nucleic acid , mathematics , combinatorics , mathematical physics , pure mathematics , physics , mathematical analysis , chemistry , condensed matter physics , computer science , statistics , philosophy , dna , base pair , biochemistry , epistemology , natural language processing , acoustics , monte carlo method
The known exact expressions for extended Watson integrals relating to various cubic and modified cubic lattices are summarized. A new closed form expression for Watson's result on the simple cubic lattice is given in terms of gamma functions.