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Volumn , Issue 24, 2008, Pages 2717-2725

Molecules and crystals with both icosahedral and cubic symmetry

Author keywords

[No Author keywords available]

Indexed keywords

DODECAHEDRANE DERIVATIVE; FULLERENE;

EID: 45149121101     PISSN: 13597345     EISSN: None     Source Type: Journal    
DOI: 10.1039/b719615f     Document Type: Review
Times cited : (39)

References (53)
  • 1
    • 45149133081 scopus 로고    scopus 로고
    • Since the octahedral point group is common to the regular octahedron and the cube, we will refer indistinctly to it as octahedral or cubic throughout this paper. Similarly, we will generally use the term icosahedral polyhedron to refer to any polyhedron with icosahedral symmetry
    • Since the octahedral point group is common to the regular octahedron and the cube, we will refer indistinctly to it as octahedral or cubic throughout this paper. Similarly, we will generally use the term icosahedral polyhedron to refer to any polyhedron with icosahedral symmetry
  • 4
    • 45149134680 scopus 로고    scopus 로고
    • While an Archimedean polyhedron has all its vertices equivalent and all its edges have the same length, in a generalized Archimedean polyhedron different sets of edges may have different lengths, resulting in some non-regular faces but fully retaining the symmetry of the ideal Archimedean polyhedron with regular polygonal faces
    • While an Archimedean polyhedron has all its vertices equivalent and all its edges have the same length, in a generalized Archimedean polyhedron different sets of edges may have different lengths, resulting in some non-regular faces but fully retaining the symmetry of the ideal Archimedean polyhedron with regular polygonal faces
  • 11
    • 45149089129 scopus 로고    scopus 로고
    • Continuous shape and symmetry measures provide a quantitative indication of the distance of a molecular structure from having an ideal shape or a given symmetry, respectively. A zero value of a shape measure indicates that the structure under scrutiny has exactly the shape of the reference polyhedron. As a rule of thumb, values smaller than 0.1 correspond to minute deviations from the ideal shape, while a value of one unit or larger indicates an important distortion:
    • S. I. Troyanov E. Kemnitz Eur. J. Org. Chem. 2005 4919
    • (2005) Eur. J. Org. Chem. , pp. 4919
    • Troyanov, S.I.1    Kemnitz, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.