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Volumn 120, Issue 18, 2004, Pages 8379-8388

Technique for incorporating the density functional Hessian into the geometry optimization of biomolecules, solvated molecules, and large floppy molecules

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY FUNCTIONAL THEORY (DFT); HARTREE-FOCK EXCHANGE; QUANTUM CHEMISTRY; SOLVATION CHEMISTRY; TAYLOR SERIES;

EID: 2542427571     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1683093     Document Type: Article
Times cited : (2)

References (41)
  • 7
    • 0002146543 scopus 로고
    • edited by D. R. Yarkony (World Scientific, Singapore)
    • H. B. Schlegel, in Modern Electronic Structure Theory, edited by D. R. Yarkony (World Scientific, Singapore, 1995), pp. 459-500.
    • (1995) Modern Electronic Structure Theory , pp. 459-500
    • Schlegel, H.B.1
  • 22
    • 2542463671 scopus 로고    scopus 로고
    • note
    • Strictly speaking, these are partial functional derivatives.
  • 27
    • 2542443122 scopus 로고    scopus 로고
    • note
    • PP · δP includes the contraction of the perturbed density matrix δP with the ERIs. The perturbed density matrices for the ground and excited states can all be contracted simultaneously using only a single evaluation of the costly ERIs, and hence the cost of evaluating seven roots is only 50% greater than for a single root.
  • 29
    • 2542497462 scopus 로고    scopus 로고
    • note
    • 3Natom/SO(3). Our implementation presently uses Cartesian coordinates, so we have adopted the parallel-transport approach.
  • 30
    • 2542481412 scopus 로고    scopus 로고
    • note
    • PP-1 is valid.
  • 31
    • 2542476691 scopus 로고    scopus 로고
    • note
    • For the first step of the geometry optimization, the preconditioner from the previous step is not available, so Lindh's empirical preconditioner is used (see Ref. 28).
  • 33
    • 2542484149 scopus 로고    scopus 로고
    • note
    • In order to obtain rigorous integral bounds, the screening algorithm should be adapted for derivative ERIs (see Ref. 32). We have not done this; instead, have simply used the Schwartz bound appropriate for undifferentiated ERIs.
  • 34
    • 2542438398 scopus 로고    scopus 로고
    • note
    • Reference 2 suggests that the RFO Lagrangian can be made size consistent using the metric G= 1/√3 Natom, but this may contain a typographical error because the denominator of the Lagrangian, G δ· δ, then scales as the square root of molecule size, and hence is not size intensive.
  • 36
    • 2542464630 scopus 로고    scopus 로고
    • See Eqs. (4b), (16), and (A10)
    • See Eqs. (4b), (16), and (A10).
  • 37
    • 2542489889 scopus 로고    scopus 로고
    • note
    • To determine whether the geometry step should be rescaled, the step vector is transformed to the eigenvector basis of the subspace Hessian. If the maximum component exceeds 1 a.u., then the entire geometry vector is multiplied by a scaling factor.
  • 40
    • 2542460839 scopus 로고    scopus 로고
    • note
    • For a summary of covariant and contravariant matrix representations in a nonorthogonal basis, see, for example, Ref. 41.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.