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Volumn 24, Issue 10, 2003, Pages 1276-1282

An algorithms to delineate and integrate topological basins in a three-dimensional quantum mechanical density function

Author keywords

Algorithm; Basin integration; Laplacian of the electron density; Quantum chemical topology

Indexed keywords

ALGORITHMS; CARRIER CONCENTRATION; CHEMICAL BONDS; ELECTRON ENERGY LEVELS; PROBABILITY DENSITY FUNCTION; THREE DIMENSIONAL; THREE DIMENSIONAL COMPUTER GRAPHICS; WATER;

EID: 0038487226     PISSN: 01928651     EISSN: None     Source Type: Journal    
DOI: 10.1002/jcc.10250     Document Type: Article
Times cited : (26)

References (61)
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    • Popelier, P. L. A.; Aicken, F. M.; O'Brien, S. E. In Chemical Modelling: Applications and Theory; Hinchliffe, A., Ed.; Royal Society of Chemistry Specialist Periodical Report; Royal Society of Chemistry: Cambridge, 2000; p 143, Chap 3, vol. 1.
    • (2000) Chemical Modelling: Applications and Theory , vol.1 , pp. 143
    • Popelier, P.L.A.1    Aicken, F.M.2    O'Brien, S.E.3
  • 2
    • 0001239245 scopus 로고    scopus 로고
    • Hinchliffe, A., Ed.; Royal Society of Chemistry Specialist Periodical Report; Royal Society of Chemistry: Cambridge; Chap 8
    • Popelier, P. L. A.; Smith, P. J. In Chemical Modelling: Applications and Theory: Hinchliffe, A., Ed.; Royal Society of Chemistry Specialist Periodical Report; Royal Society of Chemistry: Cambridge, 2002; p 391, Chap 8, vol. 2.
    • (2002) Chemical Modelling: Applications and Theory , vol.2 , pp. 391
    • Popelier, P.L.A.1    Smith, P.J.2
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    • unpublished work, McMaster University, Canada
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    • (1992)
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    • MORPHY98, a program written by P. L. A. Popelier with a contribution from R. G. A. Bone, UMIST, Manchester, England, EU
    • MORPHY98, a program written by P. L. A. Popelier with a contribution from R. G. A. Bone, UMIST, Manchester, England, EU (1998). (http://morphy.ch.umist.ac.uk/)
    • (1998)
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    • For simplicity, we use the term cube throughout, although we actually mean cuboid because the edges are allowed to have different lengths
    • For simplicity, we use the term cube throughout, although we actually mean cuboid because the edges are allowed to have different lengths.
  • 56
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    • note
    • The simple rules constituting the algorithm should be able to deal robustly with otherwise challenging situations. For example, if a separatrix (i.e., basin boundary) is strongly bent a situation could arise in which all edges of a cube belong to a basin but not the entire interior of the cube. Although not explicitly tested, we are confident that this situation can be successfully handled by setting min_depth to a sufficiently high value.
  • 57
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    • MORPHY98 manual at http://morphy.ch.umist.ac.uk/manual.htm.
    • MORPHY98 Manual
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  • 60
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    • note
    • The existence of an outer basin for free molecules is a feature of L(r). The Laplacian of the electron density itself, which differs from L(r) by a mere sign, does not have attractors at infinity, and hence, no "outer basin." It shares with the electron density itself the property of gradient paths originating at infinity and being attracted to some finite attractor near the molecule.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.