메뉴 건너뛰기




Volumn 121, Issue 19, 2004, Pages 9220-9229

An efficient method for calculating maxima of homogeneous functions of orthogonal matrices: Applications to localized occupied orbitals

Author keywords

[No Author keywords available]

Indexed keywords

BOYS ORBITALS; MOLECULAR ORBITALS; ORTHOGONAL MATRICES; WAVE FUNCTIONS;

EID: 10844259748     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1790971     Document Type: Article
Times cited : (68)

References (30)
  • 1
    • 10844236701 scopus 로고    scopus 로고
    • note
    • Note that here and for the rest of this paper, n is the number of electrons in the system and N is the size of the atomic orbital basis chosen by the computational chemist.
  • 3
    • 10844225586 scopus 로고    scopus 로고
    • note
    • As was pointed out to us, credit for the "Boys" Orbitals should actually be attributed both to Edmiston and Ruedenberg, as well as Foster and Boys. Foster and Boys suggested in 1960 (Ref. 3) the criteria of maximizing the (nonlinear) product of the distances between orbital centroids, while Edmiston and Ruedenberg improved on this criteria in 1963 (Ref. 4), proposing to maximize the (linear) sum of the distances between orbital centroids. The latter definition is the criteria used today for "Boys" Orbitals, see Eq. (1). Furthermore, Edmiston and Ruedenberg were the first to suggest a formal technique for computing these Orbitals exactly (rather than approximately, as Foster and Boys had proposed).
  • 11
    • 84860073782 scopus 로고    scopus 로고
    • injn i1i2⋯in j1j2⋯jn
    • injn i1i2⋯in j1j2⋯jn
  • 18
    • 84860072185 scopus 로고    scopus 로고
    • See EPAPS Document No. E-JCPSA6-121-306438 ftp.aip.org in the directory //epaps. See the EPAPS homepage for more information
    • 6). A direct link to this document may be found in the online article's HTML reference section. The document may also be reached via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html) or from ftp.aip.org in the directory //epaps. See the EPAPS homepage for more information.
  • 24
    • 10844225585 scopus 로고    scopus 로고
    • note
    • We note that the geometries of both Figs. 2(a) and 3(a) are saddle points of the B3LYP functional, rather than minima.
  • 25
    • 10844234269 scopus 로고    scopus 로고
    • The geometry of Fig. 4 corresponds to structure 7 in the paper by Olah et al
    • The geometry of Fig. 4 corresponds to structure 7 in the paper by Olah et al.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.