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Volumn 113, Issue 12, 2000, Pages 4863-4868

Efficient multidimensional free energy calculations for ab initio molecular dynamics using classical bias potentials

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL BONDS; ELECTRON ENERGY LEVELS; ELECTRON TRANSITIONS; GASES; MOLECULAR DYNAMICS; MOLECULES; NUMERICAL METHODS; POTENTIAL ENERGY; ROTATION; STATISTICAL METHODS; SURFACES;

EID: 0034273689     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1289527     Document Type: Article
Times cited : (35)

References (46)
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    • See, e.g., C. Cavazzoni, G. L. Chiarotti, S. Scandolo, E. Tosatti, M. Bernasconi, and M. Parrinello, Science 283, 44 (1999); P. Ballone and W. Andreoni, Metal Clusters, edited by W. Ekardt (Wiley, New York, 1999), p. 71; M. Benoit, D. Marx, and M. Parrinello, Nature (London) 392, 258 (1998); A. Pasquarello, M. S. Hybertsen, and R. Car, ibid. 396, 58 (1998); U. Rothlisberger, W. Andreoni, and M. Parrinello, Phys. Rev. Lett. 72, 665 (1994).
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    • Cavazzoni, C.1    Chiarotti, G.L.2    Scandolo, S.3    Tosatti, E.4    Bernasconi, M.5    Parrinello, M.6
  • 3
    • 0032900918 scopus 로고    scopus 로고
    • edited by W. Ekardt Wiley, New York
    • See, e.g., C. Cavazzoni, G. L. Chiarotti, S. Scandolo, E. Tosatti, M. Bernasconi, and M. Parrinello, Science 283, 44 (1999); P. Ballone and W. Andreoni, Metal Clusters, edited by W. Ekardt (Wiley, New York, 1999), p. 71; M. Benoit, D. Marx, and M. Parrinello, Nature (London) 392, 258 (1998); A. Pasquarello, M. S. Hybertsen, and R. Car, ibid. 396, 58 (1998); U. Rothlisberger, W. Andreoni, and M. Parrinello, Phys. Rev. Lett. 72, 665 (1994).
    • (1999) Metal Clusters , pp. 71
    • Ballone, P.1    Andreoni, W.2
  • 4
    • 0032546413 scopus 로고    scopus 로고
    • See, e.g., C. Cavazzoni, G. L. Chiarotti, S. Scandolo, E. Tosatti, M. Bernasconi, and M. Parrinello, Science 283, 44 (1999); P. Ballone and W. Andreoni, Metal Clusters, edited by W. Ekardt (Wiley, New York, 1999), p. 71; M. Benoit, D. Marx, and M. Parrinello, Nature (London) 392, 258 (1998); A. Pasquarello, M. S. Hybertsen, and R. Car, ibid. 396, 58 (1998); U. Rothlisberger, W. Andreoni, and M. Parrinello, Phys. Rev. Lett. 72, 665 (1994).
    • (1998) Nature (London) , vol.392 , pp. 258
    • Benoit, M.1    Marx, D.2    Parrinello, M.3
  • 5
    • 0032487957 scopus 로고    scopus 로고
    • See, e.g., C. Cavazzoni, G. L. Chiarotti, S. Scandolo, E. Tosatti, M. Bernasconi, and M. Parrinello, Science 283, 44 (1999); P. Ballone and W. Andreoni, Metal Clusters, edited by W. Ekardt (Wiley, New York, 1999), p. 71; M. Benoit, D. Marx, and M. Parrinello, Nature (London) 392, 258 (1998); A. Pasquarello, M. S. Hybertsen, and R. Car, ibid. 396, 58 (1998); U. Rothlisberger, W. Andreoni, and M. Parrinello, Phys. Rev. Lett. 72, 665 (1994).
    • (1998) Nature (London) , vol.396 , pp. 58
    • Pasquarello, A.1    Hybertsen, M.S.2    Car, R.3
  • 6
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    • See, e.g., C. Cavazzoni, G. L. Chiarotti, S. Scandolo, E. Tosatti, M. Bernasconi, and M. Parrinello, Science 283, 44 (1999); P. Ballone and W. Andreoni, Metal Clusters, edited by W. Ekardt (Wiley, New York, 1999), p. 71; M. Benoit, D. Marx, and M. Parrinello, Nature (London) 392, 258 (1998); A. Pasquarello, M. S. Hybertsen, and R. Car, ibid. 396, 58 (1998); U. Rothlisberger, W. Andreoni, and M. Parrinello, Phys. Rev. Lett. 72, 665 (1994).
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    • Rothlisberger, U.1    Andreoni, W.2    Parrinello, M.3
  • 7
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    • and references therein
    • See, e.g., M. Sprik, J. Phys.: Condens. Matter. 12, A161 (2000), and references therein; M. Boero, M. Parrinello, S. Huffer, and H. Weiss, J. Am. Chem. Soc. 122, 501 (2000); D. Marx, M. E. Tuckerman, J. Hutter, and M. Parrinello, Nature (London) 397, 601 (1999); U. Rothlisberger, M. Sprik, and M. L. Klein, J. Chem. Soc., Faraday Trans. 94, 501 (1998); A. Curioni, M. Sprik, W. Andreoni, H. Schiffer, J. Hutter, and M. Parrinello, J. Am. Chem. Soc. 119, 7218 (1997).
    • (2000) J. Phys.: Condens. Matter. , vol.12
    • Sprik, M.1
  • 8
    • 0034716312 scopus 로고    scopus 로고
    • See, e.g., M. Sprik, J. Phys.: Condens. Matter. 12, A161 (2000), and references therein; M. Boero, M. Parrinello, S. Huffer, and H. Weiss, J. Am. Chem. Soc. 122, 501 (2000); D. Marx, M. E. Tuckerman, J. Hutter, and M. Parrinello, Nature (London) 397, 601 (1999); U. Rothlisberger, M. Sprik, and M. L. Klein, J. Chem. Soc., Faraday Trans. 94, 501 (1998); A. Curioni, M. Sprik, W. Andreoni, H. Schiffer, J. Hutter, and M. Parrinello, J. Am. Chem. Soc. 119, 7218 (1997).
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    • Boero, M.1    Parrinello, M.2    Huffer, S.3    Weiss, H.4
  • 9
    • 0033580290 scopus 로고    scopus 로고
    • See, e.g., M. Sprik, J. Phys.: Condens. Matter. 12, A161 (2000), and references therein; M. Boero, M. Parrinello, S. Huffer, and H. Weiss, J. Am. Chem. Soc. 122, 501 (2000); D. Marx, M. E. Tuckerman, J. Hutter, and M. Parrinello, Nature (London) 397, 601 (1999); U. Rothlisberger, M. Sprik, and M. L. Klein, J. Chem. Soc., Faraday Trans. 94, 501 (1998); A. Curioni, M. Sprik, W. Andreoni, H. Schiffer, J. Hutter, and M. Parrinello, J. Am. Chem. Soc. 119, 7218 (1997).
    • (1999) Nature (London) , vol.397 , pp. 601
    • Marx, D.1    Tuckerman, M.E.2    Hutter, J.3    Parrinello, M.4
  • 10
    • 33748634073 scopus 로고    scopus 로고
    • See, e.g., M. Sprik, J. Phys.: Condens. Matter. 12, A161 (2000), and references therein; M. Boero, M. Parrinello, S. Huffer, and H. Weiss, J. Am. Chem. Soc. 122, 501 (2000); D. Marx, M. E. Tuckerman, J. Hutter, and M. Parrinello, Nature (London) 397, 601 (1999); U. Rothlisberger, M. Sprik, and M. L. Klein, J. Chem. Soc., Faraday Trans. 94, 501 (1998); A. Curioni, M. Sprik, W. Andreoni, H. Schiffer, J. Hutter, and M. Parrinello, J. Am. Chem. Soc. 119, 7218 (1997).
    • (1998) J. Chem. Soc., Faraday Trans. , vol.94 , pp. 501
    • Rothlisberger, U.1    Sprik, M.2    Klein, M.L.3
  • 11
    • 0030852233 scopus 로고    scopus 로고
    • See, e.g., M. Sprik, J. Phys.: Condens. Matter. 12, A161 (2000), and references therein; M. Boero, M. Parrinello, S. Huffer, and H. Weiss, J. Am. Chem. Soc. 122, 501 (2000); D. Marx, M. E. Tuckerman, J. Hutter, and M. Parrinello, Nature (London) 397, 601 (1999); U. Rothlisberger, M. Sprik, and M. L. Klein, J. Chem. Soc., Faraday Trans. 94, 501 (1998); A. Curioni, M. Sprik, W. Andreoni, H. Schiffer, J. Hutter, and M. Parrinello, J. Am. Chem. Soc. 119, 7218 (1997).
    • (1997) J. Am. Chem. Soc. , vol.119 , pp. 7218
    • Curioni, A.1    Sprik, M.2    Andreoni, W.3    Schiffer, H.4    Hutter, J.5    Parrinello, M.6
  • 36
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    • note
    • We suggest, however, that it might be helpful to include also terms that do not only depend on the principal degrees of freedom that span the free energy surface. The orthogonal degrees of freedom can be biased in order to enhance their mobility, but only slightly since they should remain close to the potential energy minima. This brings additional freedom, and is at variance with previously developed classical multidimensional free energy schemes (Refs. 13-16).
  • 39
    • 0343943672 scopus 로고    scopus 로고
    • note
    • Computational results in this section are from density functional calculations with the LDA functional, a basis set of plane waves with a kinetic energy cutoff of 60 Ry, norm-conserving nonlocal pseudopotentials and a face centered cubic super cell of edge a = 10 Å. The estimated barrier compares favorably with experiment (2.75 kcal/mol) (Ref. 38).
  • 40
    • 0343943671 scopus 로고    scopus 로고
    • note
    • It is also possible to construct a bias potential that does not depend explicitly on the torsional angle, for example, by describing the barrier for rotation in terms of van der Waals interactions between the methyl hydrogens.


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