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Volumn 118, Issue 1, 2003, Pages 373-388

Analytic ab initio determination of the elastic modulus in stereoregular polymers: Analytical integral derivatives, long-range effects, implementation, and examples

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; GEOMETRY; INTEGRAL EQUATIONS; MOLECULAR DYNAMICS; MOLECULAR WEIGHT; OLIGOMERS; OPTIMIZATION; POLYETHYLENE GLYCOLS; POTENTIAL ENERGY;

EID: 0037255208     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1523909     Document Type: Article
Times cited : (11)

References (57)
  • 36
    • 0013022922 scopus 로고    scopus 로고
    • note
    • This force is sometimes improperly named cell-pressure. We use the terminology cell-stress to avoid confusion with the YM.
  • 42
    • 0012967626 scopus 로고    scopus 로고
    • note
    • As shown by Bartha et al. (Ref. 15), the full Hessian is not necessary, as some internal coordinates present zero or negligible contributions to Ỹ. Nevertheless, in a nontrivial polymer, it is difficult to determine a priori what are the most important coordinates, and the full Hessian has to be calculated.
  • 46
    • 0013008234 scopus 로고    scopus 로고
    • note
    • We refer the reader to Ref. 27 for a complete description of all the terms used as well as the way to compute them.
  • 47
    • 0013022923 scopus 로고    scopus 로고
    • note
    • The terminology "linear" is used for quasilinear polymers in which the different UC are related by translation; whereas "helical" denotes chains in which the UCs are related by rotation-translation operations.
  • 49
    • 0003860731 scopus 로고    scopus 로고
    • Waterloo, Maple, Inc.
    • Maple V Release 4, Waterloo, Maple, Inc., 1996.
    • (1996) Maple V Release 4
  • 51
    • 0012967747 scopus 로고    scopus 로고
    • note
    • 0, we have t,u,v = (0,0,2).
  • 52
    • 0012973161 scopus 로고    scopus 로고
    • note
    • PJCh).
  • 53
    • 0012967748 scopus 로고    scopus 로고
    • note
    • These numbers have been obtained by taking into account the translational symmetry so that only derivatives on the first three centers of the integrals are computed explicitly. Otherwise the values would be 1, 12, and 144 for the cell, mixed, and standard Hessians of a generic two-electron integral.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.