caa a22 4500 465818838 CHVBK 20180323112130.0 cr unu---uuuuu 170327e19900101xx s 000 0 eng 10.1007/BF01112352 doi (NATIONALLICENCE)springer-10.1007/BF01112352 Fujita Shinsaku Research Laboratories, Ashigara, Fuji Photo Film Co., Ltd., Minami-Ashigara, 250-01, Kanagawa, Japan aut Application of coset representations to the construction of symmetry adapted functions [Elektronische Daten] [Shinsaku Fujita] Summary: A coset representation (G(/G i )), which is defined algebraically by a coset decomposition of a finite groupG by its subgroupG i , is shown to be a method for the decomposition of a regular body into its point group orbits. This proof also shows that each member of theG(/G i ) orbit belongs to theG i site-symmetry. In addition, a general equation concerning the multiplicities of such coset representations is derived and shown to involve Brester's equations and thek-value equations of framework groups as special cases. The relationship of the coset representation and the site-symmetry affords a general procedure for obtaining symmetry adapted functions. Springer-Verlag, 1990 Coset representation nationallicence Regular body nationallicence Site-symmetry nationallicence Brester's equation nationallicence Symmetry adapted functions nationallicence Theoretica chimica acta Springer-Verlag 78/1(1990-01-01), 45-63 0040-5744 78:1<45 1990 78 214 https://doi.org/10.1007/BF01112352 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01112352 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Fujita Shinsaku Research Laboratories, Ashigara, Fuji Photo Film Co., Ltd., Minami-Ashigara, 250-01, Kanagawa, Japan aut NATIONALLICENCE 773 0- Theoretica chimica acta Springer-Verlag 78/1(1990-01-01), 45-63 0040-5744 78:1<45 1990 78 214 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer