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1542425139
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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.
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Guggenheim, E.A.1
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1542634818
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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.
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0015101706
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-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.
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36849128173
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-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.
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Pitzer, K.S.1
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28
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84986492909
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-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.
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Meiser, J.H.2
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85034459433
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-
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
-
-
note
-
vib at room temperature is less than 4 kJ/mol.
-
-
-
-
47
-
-
85034481283
-
-
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.
-
-
-
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48
-
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36849125469
-
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-1 is reported in Person, W. B.; Pimentel, G. C. J. Am. Chem. Soc. 1952, 75, 532.
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Pitzer, K.1
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50
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0012441080
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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.
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0024071743
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Hopfinger, A. J.; Koehler, M. G.; Pearlstein, R. A. J. Polym. Sci. Part B Polym. Phys. 1988, 26, 2007-2028.
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52
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85034472832
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-
note
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tor differ significantly between the two test molecules, then the assumption of additivity is not valid.
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54
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1542634817
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0012441080
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Schleyer, P.R.1
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1542634815
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Smith, G. D.; Jaffe, R. L.; Yoon, D. Y. Polym. Prepr. 1994, 35, 84-35.
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Smith, G.D.1
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58
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1542425137
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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.
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Bunn, C.W.1
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59
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84943703774
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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.
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60
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11744357449
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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.
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36849128173
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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.
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