-
4
-
-
33748357971
-
-
10.1098/rstb.2006.1878
-
M. J. Sutcliffe, L. Masgrau, A. Roujeinikova, L. O. Johannissen, P. Hothi, J. Basran, K. E. Ranaghan, A. J. Mulholland, D. Leys, and N. S. Scrutton, Philos. Trans. R. Soc. B 361, 1375 (2006). 10.1098/rstb.2006.1878
-
(2006)
Philos. Trans. R. Soc. B
, vol.361
, pp. 1375
-
-
Sutcliffe, M.J.1
Masgrau, L.2
Roujeinikova, A.3
Johannissen, L.O.4
Hothi, P.5
Basran, J.6
Ranaghan, K.E.7
Mulholland, A.J.8
Leys, D.9
Scrutton, N.S.10
-
5
-
-
0033168713
-
-
10.1016/S1074-5521(99)80058-1
-
A. Kohen and J. P. Klinman, Chem. Biol. 6, 191 (1999). 10.1016/S1074-5521(99)80058-1
-
(1999)
Chem. Biol.
, vol.6
, pp. 191
-
-
Kohen, A.1
Klinman, J.P.2
-
11
-
-
0012297369
-
-
10.1021/cr60211a004
-
F. H. Westheimer, Chem. Rev. 61, 265 (1961). 10.1021/cr60211a004
-
(1961)
Chem. Rev.
, vol.61
, pp. 265
-
-
Westheimer, F.H.1
-
14
-
-
69049090847
-
-
10.1021/ja904400d
-
A. Wu, E. A. Mader, A. Datta, D. A. Hrovat, W. T. Borden, and J. M. Mayer, J. Am. Chem. Soc. 131, 11985 (2009). 10.1021/ja904400d
-
(2009)
J. Am. Chem. Soc.
, vol.131
, pp. 11985
-
-
Wu, A.1
Mader, E.A.2
Datta, A.3
Hrovat, D.A.4
Borden, W.T.5
Mayer, J.M.6
-
21
-
-
0031585449
-
-
10.1016/S0009-2614(97)00886-5
-
G. Mills, G. K. Schenter, D. E. Makarov, and H. Jonsson, Chem. Phys. Lett. 278, 91 (1997). 10.1016/S0009-2614(97)00886-5
-
(1997)
Chem. Phys. Lett.
, vol.278
, pp. 91
-
-
Mills, G.1
Schenter, G.K.2
Makarov, D.E.3
Jonsson, H.4
-
25
-
-
5344221202
-
-
10.1021/j100464a024
-
A. Kuppermann, J. Phys. Chem. 83, 171 (1979). 10.1021/j100464a024
-
(1979)
J. Phys. Chem.
, vol.83
, pp. 171
-
-
Kuppermann, A.1
-
26
-
-
36849098681
-
-
10.1063/1.1727528
-
R. A. Marcus, J. Chem. Phys. 45, 4493 (1966). 10.1063/1.1727528
-
(1966)
J. Chem. Phys.
, vol.45
, pp. 4493
-
-
Marcus, R.A.1
-
29
-
-
84870998906
-
-
Application of QI approach to several bimolecular collinear reactions resulted in reaction rate coefficients which agree with the correct quantum ones to within 20
-
Application of QI approach to several bimolecular collinear reactions resulted in reaction rate coefficients which agree with the correct quantum ones to within 20.
-
-
-
-
33
-
-
36749114243
-
-
10.1063/1.430676
-
W. H. Miller, J. Chem. Phys. 62, 1899 (1975). 10.1063/1.430676
-
(1975)
J. Chem. Phys.
, vol.62
, pp. 1899
-
-
Miller, W.H.1
-
36
-
-
6144285990
-
-
10.1103/PhysRevLett.53.1787
-
H. Grabert and U. Weiss, Phys. Rev. Lett. 53, 1787 (1984). 10.1103/PhysRevLett.53.1787
-
(1984)
Phys. Rev. Lett.
, vol.53
, pp. 1787
-
-
Grabert, H.1
Weiss, U.2
-
43
-
-
65749104669
-
-
10.1021/jp811070w
-
S. Andersson, G. Nyman, A. Arnaldsson, U. Manthe, and H. Jonsson, J. Phys. Chem. A 113, 4468 (2009). 10.1021/jp811070w
-
(2009)
J. Phys. Chem. A
, vol.113
, pp. 4468
-
-
Andersson, S.1
Nyman, G.2
Arnaldsson, A.3
Manthe, U.4
Jonsson, H.5
-
46
-
-
79953208641
-
-
10.1063/1.3563045
-
S. C. Althorpe, J. Chem. Phys. 134, 114104 (2011). 10.1063/1.3563045
-
(2011)
J. Chem. Phys.
, vol.134
, pp. 114104
-
-
Althorpe, S.C.1
-
49
-
-
0037770093
-
-
10.1063/1.1586252
-
G. V. Milnikov, K. Yagi, T. Taketsugu, H. Nakamura, and K. Hirao, J. Chem. Phys. 119, 10 (2003). 10.1063/1.1586252
-
(2003)
J. Chem. Phys.
, vol.119
, pp. 10
-
-
Milnikov, G.V.1
Yagi, K.2
Taketsugu, T.3
Nakamura, H.4
Hirao, K.5
-
51
-
-
79953197223
-
-
10.1063/1.3565425
-
M. Kryvohuz, J. Chem. Phys. 134, 114103 (2011). 10.1063/1.3565425
-
(2011)
J. Chem. Phys.
, vol.134
, pp. 114103
-
-
Kryvohuz, M.1
-
52
-
-
84871031010
-
-
Stationary phase approximation tends to underestimate the results of exact integration. Therefore reaction rate coefficients calculated via the semiclassical instanton (SI) approach are usually smaller than the exact ones. Applications of SI approach to several bimolecular reactions showed that SI rate coefficients underestimate the correct quantum rate coefficients within a factor of 2 or less. We believe that it would be possible to derive the magnitude of error of the SI by the rigorous analysis of errors of the stationary phase approximation
-
Stationary phase approximation tends to underestimate the results of exact integration. Therefore reaction rate coefficients calculated via the semiclassical instanton (SI) approach are usually smaller than the exact ones. Applications of SI approach to several bimolecular reactions showed that SI rate coefficients underestimate the correct quantum rate coefficients within a factor of 2 or less. We believe that it would be possible to derive the magnitude of error of the SI by the rigorous analysis of errors of the stationary phase approximation.
-
-
-
-
54
-
-
79954585410
-
-
10.1021/ja00059a041
-
Y.-P. Liu, G. C. Lynch, T. N. Truong, D. Lu, D. G. Truhlar, and B. C. Garrett, J. Am. Chem. Soc. 115, 2408 (1993). 10.1021/ja00059a041
-
(1993)
J. Am. Chem. Soc.
, vol.115
, pp. 2408
-
-
Liu, Y.-P.1
Lynch, G.C.2
Truong, T.N.3
Lu, D.4
Truhlar, D.G.5
Garrett, B.C.6
-
58
-
-
0036301901
-
-
10.1046/j.1432-1033.2002.03022.x
-
M. J. Knapp and J. P. Klinman, Eur. J. Biochem. 269, 3113 (2002). 10.1046/j.1432-1033.2002.03022.x
-
(2002)
Eur. J. Biochem.
, vol.269
, pp. 3113
-
-
Knapp, M.J.1
Klinman, J.P.2
-
60
-
-
79952746514
-
-
in, edited by R. Alleman and M. Scruton (RSC Publishing, Cambridge)
-
J. Gao, K. Y. Wong, D. T. Major, A. Cembran, L. Song, Y. Lin, Y. Fan, and S. Ma, in Quantum Tunnelling in Enzyme-Catalysed Reactions, edited by, R. Alleman, and, M. Scruton, (RSC Publishing, Cambridge, 2009), pp. 105-131.
-
(2009)
Quantum Tunnelling in Enzyme-Catalysed Reactions
, pp. 105-131
-
-
Gao, J.1
Wong, K.Y.2
Major, D.T.3
Cembran, A.4
Song, L.5
Lin, Y.6
Fan, Y.7
Ma, S.8
-
62
-
-
29444451132
-
-
10.1016/0003-4916(67)90200-X
-
J. S. Langer, Ann. Phys. 41, 108 (1967). 10.1016/0003-4916(67)90200-X
-
(1967)
Ann. Phys.
, vol.41
, pp. 108
-
-
Langer, J.S.1
-
63
-
-
0004067962
-
-
in, edited by W. H. Miller (Plenum, New York)
-
P. Pechukas in Dynamics of Molecular Collisions, Part B, edited by, W. H. Miller, (Plenum, New York, 1976).
-
(1976)
Dynamics of Molecular Collisions, Part B
-
-
Pechukas, P.1
-
64
-
-
0001769136
-
-
in, edited by A. Zichichi (Plenum, New York)
-
S. Coleman in The Whys of Subnuclear Physics, edited by, A. Zichichi, (Plenum, New York, 1979), p. 805.
-
(1979)
The Whys of Subnuclear Physics
, pp. 805
-
-
Coleman, S.1
-
65
-
-
33744748455
-
-
10.1103/PhysRevLett.46.388
-
I. Affleck, Phys. Rev. Lett. 46, 388 (1981). 10.1103/PhysRevLett.46.388
-
(1981)
Phys. Rev. Lett.
, vol.46
, pp. 388
-
-
Affleck, I.1
-
70
-
-
84870984272
-
-
The expression in curly brackets in Eq. includes the Van-Vleck type factor that preserves normalization of real time propagators exp (-tH) and accounts for anharmonicity effects of imaginary type propagators exp (-τH), i.e., the Boltzmann operator, along the trajectory, or the reaction coordinate
-
The expression in curly brackets in Eq. includes the Van-Vleck type factor that preserves normalization of real time propagators exp (-tH) and accounts for anharmonicity effects of imaginary type propagators exp (-τH), i.e., the Boltzmann operator, along the trajectory, or the reaction coordinate.
-
-
-
-
73
-
-
2942532422
-
-
10.1002/jcc.20035
-
J. Wang, R. M. Wolf, J. W. Caldwell, P. Kollman, and D. A. Case, J. Comput. Chem. 25, 1157 (2004). 10.1002/jcc.20035
-
(2004)
J. Comput. Chem.
, vol.25
, pp. 1157
-
-
Wang, J.1
Wolf, R.M.2
Caldwell, J.W.3
Kollman, P.4
Case, D.A.5
-
74
-
-
23444454552
-
-
10.1002/jcc.20290
-
D. A. Case, I. T. E. Cheatham, T. Darden, H. Gohlke, R. Luo, J. K. M. Merz, A. Onufriev, C. Simmerling, B. Wang, and R. Woods, J. Comput. Chem. 26, 1668 (2005). 10.1002/jcc.20290
-
(2005)
J. Comput. Chem.
, vol.26
, pp. 1668
-
-
Case, D.A.1
Cheatham, I.T.E.2
Darden, T.3
Gohlke, H.4
Luo, R.5
Merz, J.K.M.6
Onufriev, A.7
Simmerling, C.8
Wang, B.9
Woods, R.10
-
76
-
-
84870193971
-
-
JAGUAR, version 7.7, Schrodinger, LLC, New York, NY
-
JAGUAR, version 7.7, Schrodinger, LLC, New York, NY, 2010.
-
(2010)
-
-
-
77
-
-
84945599356
-
-
10.1080/00268976800101381
-
J. K. G. Watson, Mol. Phys. 15, 479 (1968). 10.1080/00268976800101381
-
(1968)
Mol. Phys.
, vol.15
, pp. 479
-
-
Watson, J.K.G.1
-
78
-
-
36149010019
-
-
10.1103/PhysRev.47.552
-
C. Eckart, Phys. Rev. 47, 552 (1935). 10.1103/PhysRev.47.552
-
(1935)
Phys. Rev.
, vol.47
, pp. 552
-
-
Eckart, C.1
-
80
-
-
0034508073
-
-
10.1063/1.1319875
-
A. Callegari, U. Merker, P. Engels, H. K. Srivastava, K. K. Lehmann, and G. Scoles, J. Chem. Phys. 113, 10583 (2000). 10.1063/1.1319875
-
(2000)
J. Chem. Phys.
, vol.113
, pp. 10583
-
-
Callegari, A.1
Merker, U.2
Engels, P.3
Srivastava, H.K.4
Lehmann, K.K.5
Scoles, G.6
-
82
-
-
0040513008
-
-
10.1021/ja00067a009
-
L. Kupczyk-Subotkowska, J. W. H. Saunders, H. J. Shine, and W. Subotkowski, J. Am. Chem. Soc. 115, 5957 (1993). 10.1021/ja00067a009
-
(1993)
J. Am. Chem. Soc.
, vol.115
, pp. 5957
-
-
Kupczyk-Subotkowska, L.1
Saunders, J.W.H.2
Shine, H.J.3
Subotkowski, W.4
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