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Volumn 63, Issue 10, 1998, Pages 3168-3175

Using a Convenient, Quantitative Model for Torsional Entropy to Establish Qualitative Trends for Molecular Processes That Restrict Conformational Freedom

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EID: 0000598486     PISSN: 00223263     EISSN: None     Source Type: Journal    
DOI: 10.1021/jo970943n     Document Type: Article
Times cited : (128)

References (64)
  • 1
    • 1542425139 scopus 로고
    • o is the maximum internal energy (J/mol, referenced to U = 0 at the torsional global minimum), and φ is the torsional angle (rad) (Guggenheim). The validity of this shape has been questioned (see: Blade, E., Kimball, G. E. J. Chem. Phys. 1950, 18, 630). In our work, we make no assumption about the shape of the well (see Appendix 1). Nevertheless, the wide range in the rates of rotation about a single bond serve as a qualitative illustration that the entropies of torsional motion may not be all the same.
    • (1940) Trans. Faraday Soc. , pp. 97
    • Guggenheim, E.A.1
  • 2
    • 1542634818 scopus 로고
    • o is the maximum internal energy (J/mol, referenced to U = 0 at the torsional global minimum), and φ is the torsional angle (rad) (Guggenheim). The validity of this shape has been questioned (see: Blade, E., Kimball, G. E. J. Chem. Phys. 1950, 18, 630). In our work, we make no assumption about the shape of the well (see Appendix 1). Nevertheless, the wide range in the rates of rotation about a single bond serve as a qualitative illustration that the entropies of torsional motion may not be all the same.
    • (1950) J. Chem. Phys. , vol.18 , pp. 630
    • Blade, E.1    Kimball, G.E.2
  • 4
    • 0000539599 scopus 로고
    • For recent discussions, see: Myers, R. T. Inorg. Chem. 1978, 17, 952-970.
    • (1978) Inorg. Chem. , vol.17 , pp. 952-970
    • Myers, R.T.1
  • 26
    • 0015101706 scopus 로고
    • -1. This value is approximately the same as that suggested by Jencks and Truhlar: Pitzer, K. S.; Gwinn, W. D. J. Chem. Phys. 1942, 19, 428. Truhlar, D. G. J. Comput. Chem. 1991, 12, 266.
    • (1971) Proc. Nat. Acad. Sci. U.S.A. , vol.68 , pp. 1678
    • Page, M.I.1    Jencks, W.P.2
  • 27
    • 36849128173 scopus 로고
    • -1. This value is approximately the same as that suggested by Jencks and Truhlar: Pitzer, K. S.; Gwinn, W. D. J. Chem. Phys. 1942, 19, 428. Truhlar, D. G. J. Comput. Chem. 1991, 12, 266.
    • (1942) J. Chem. Phys. , vol.19 , pp. 428
    • Pitzer, K.S.1    Gwinn, W.D.2
  • 28
    • 84986492909 scopus 로고
    • -1. This value is approximately the same as that suggested by Jencks and Truhlar: Pitzer, K. S.; Gwinn, W. D. J. Chem. Phys. 1942, 19, 428. Truhlar, D. G. J. Comput. Chem. 1991, 12, 266.
    • (1991) J. Comput. Chem. , vol.12 , pp. 266
    • Truhlar, D.G.1
  • 40
    • 0003612031 scopus 로고
    • Benjamin/ Cummings Publishing Co., Inc.: Toronto
    • Physical Chemistry; Laidler, K. J., Meiser, J. H., Eds.; Benjamin/ Cummings Publishing Co., Inc.: Toronto, 1982.
    • (1982) Physical Chemistry
    • Laidler, K.J.1    Meiser, J.H.2
  • 43
    • 85034459433 scopus 로고    scopus 로고
    • note
    • These high-frequency motions can not occur at all possible energies defined by a potential energy map: they generally occupy only a single state corresponding to a single energy near each of the minima. Low-frequency motions, however, have a density of energy states that is sufficiently high that we can model the motion classically: the motion can occur at any energy defined by a potential energy map.
  • 44
    • 85034463899 scopus 로고    scopus 로고
    • note
    • vib at room temperature is less than 4 kJ/mol.
  • 47
    • 85034481283 scopus 로고    scopus 로고
    • The minimization included 50 steps of Adopted-Basis Newton Raphson using the CHARMm forcefield
    • The minimization included 50 steps of Adopted-Basis Newton Raphson using the CHARMm forcefield.
  • 48
    • 36849125469 scopus 로고
    • -1 is reported in Person, W. B.; Pimentel, G. C. J. Am. Chem. Soc. 1952, 75, 532.
    • (1940) J. Chem. Phys. , vol.8 , pp. 711
    • Pitzer, K.1
  • 50
    • 0012441080 scopus 로고
    • Such maps are often described as adiabatic potential energy surfaces. These maps assume that the Born-Oppenheimer approximation holds; that is, the electronic states equilibrate much faster than the nuclear ones. The internal energy at each torsional angle in such a map is minimized using CHARMm as described in the text. Accurate adiabatic maps can be obtained with most force fields and with a relatively modest level of theory; Schleyer, P.R.; Kaupp, M.; Hampel, F.; Bremer, M.; Mislow, K. J. Am. Chem. Soc. 1992, 114, 6791-6797.
    • (1992) J. Am. Chem. Soc. , vol.114 , pp. 6791-6797
    • Schleyer, P.R.1    Kaupp, M.2    Hampel, F.3    Bremer, M.4    Mislow, K.5
  • 52
    • 85034472832 scopus 로고    scopus 로고
    • note
    • tor differ significantly between the two test molecules, then the assumption of additivity is not valid.
  • 58
    • 1542425137 scopus 로고
    • n- chain also persists in monolayers and in the gas phase. Wolf, S. G.; Deutsch, M.; Landau, E. M.; Lahav, M.; Leiserowitz, L.; Kjaer, K.; Als-Nielson, J. Science 1989, 242, 1286.
    • (1954) Nature , pp. 540
    • Bunn, C.W.1    Howells, E.R.2
  • 59
    • 84943703774 scopus 로고
    • n- chain also persists in monolayers and in the gas phase. Wolf, S. G.; Deutsch, M.; Landau, E. M.; Lahav, M.; Leiserowitz, L.; Kjaer, K.; Als-Nielson, J. Science 1989, 242, 1286.
    • (1962) Z. Kristallogr. , vol.117 , pp. 119
    • Wolf, S.G.1    Clark, E.S.2    Muss, L.T.3
  • 62
    • 36849128173 scopus 로고
    • It has been previously established that the classical approximation is a reasonable one for many single bonds; Pitzer, K. S., Gwinn, W. D. J. Chem. Phys. 1942, 10, 428.
    • (1942) J. Chem. Phys. , vol.10 , pp. 428
    • Pitzer, K.S.1    Gwinn, W.D.2
  • 64
    • 0039936864 scopus 로고
    • We use the integral form rather than the summation form because of convenience coupled with sufficient accuracy (i.e., it is impractical to solve a wave equation in every case). Burkhard, D. G.; Irvin, J. C. J. Chem. Phys. 1955, 23, 1405.
    • (1955) J. Chem. Phys. , vol.23 , pp. 1405
    • Burkhard, D.G.1    Irvin, J.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.