메뉴 건너뛰기




Volumn 106, Issue 9, 2002, Pages 1834-1849

Nonlinear free energy relations for adiabatic proton transfer reactions in a polar environment. I. Fixed proton donor - Acceptor separation

Author keywords

[No Author keywords available]

Indexed keywords

ACTIVATION ENERGY; ELECTRON TRANSITIONS; ELECTRONIC STRUCTURE; FREE ENERGY; IONIZATION; PROTONS; QUANTUM THEORY;

EID: 0037035206     PISSN: 10895639     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp0134244     Document Type: Article
Times cited : (106)

References (130)
  • 5
    • 0000697715 scopus 로고
    • (e) Hibbert, F. Adv. Phys. Org. Chem. 1986, 22, 113; Hibbert, F. Adv. Phys. Org. Chem. 1990, 26, 255.
    • (1986) Adv. Phys. Org. Chem. , vol.22 , pp. 113
    • Hibbert, F.1
  • 6
    • 77956715871 scopus 로고
    • (e) Hibbert, F. Adv. Phys. Org. Chem. 1986, 22, 113; Hibbert, F. Adv. Phys. Org. Chem. 1990, 26, 255.
    • (1990) Adv. Phys. Org. Chem. , vol.26 , pp. 255
    • Hibbert, F.1
  • 17
    • 0001836104 scopus 로고
    • Cleland, W.W., O'Leary, M.H., Northrop, D.B., Ed.; University Park Press: Baltimore, MD
    • Kresge, A.J. In Isotope Effects on Enzyme-Catalyzed Reactions; Cleland, W.W., O'Leary, M.H., Northrop, D.B., Ed.; University Park Press: Baltimore, MD, 1977; p 37.
    • (1977) Isotope Effects on Enzyme-Catalyzed Reactions , pp. 37
    • Kresge, A.J.1
  • 34
    • 0011089382 scopus 로고    scopus 로고
    • note
    • 7,8 However, it is not for such reactions that eq 1.1 was advocated.
  • 41
    • 0011155772 scopus 로고    scopus 로고
    • See e.g., ref 6 in ref 5d
    • See e.g., ref 6 in ref 5d.
  • 51
    • 0034734365 scopus 로고    scopus 로고
    • The point of view of the present perspective is that when the quantum proton does not tunnel, it is in the quantum proton adiabatic regime, as described in length in section 1, as opposed to the traditional view where it is instead motion of a classical proton over the proton barrier. For calculations in which the latter is taken as the reference situation for the rate and tunneling effects provide a quantum modification of this picture, see (a) Alhambra, C.; Corchado, J.C.; Sánchez, M.L.; Gao, J.; Truhlar, D.G. J. Am. Chem. Soc. 2000, 122, 8197.
    • (2000) J. Am. Chem. Soc. , vol.122 , pp. 8197
    • Alhambra, C.1    Corchado, J.C.2    Sánchez, M.L.3    Gao, J.4    Truhlar, D.G.5
  • 59
    • 11644271492 scopus 로고    scopus 로고
    • Tunneling versus adiabatic PT issues are also relevant for the transport of a proton in water. See e.g., (a) Schmitt, U.W.; Voth, G.A. J. Phys. Chem. B 1998, 102, 5547.
    • (1998) J. Phys. Chem. B , vol.102 , pp. 5547
    • Schmitt, U.W.1    Voth, G.A.2
  • 63
    • 0006941195 scopus 로고
    • For a different approach to what we term the proton adiabatic regime, see: (a) Kapral, R.; Consta, S. J. Chem. Phys. 1994, 101, 10 908.
    • (1994) J. Chem. Phys. , vol.101 , pp. 10908
    • Kapral, R.1    Consta, S.2
  • 85
    • 0011141747 scopus 로고    scopus 로고
    • note
    • This statement needs qualification in some circumstances related to intramolecular coordinates in the reacting solute system, see II.
  • 89
    • 0011086009 scopus 로고    scopus 로고
    • note
    • The PT reaction rate of interest does not include formation of the hydrogen-bonded complex or separation of the contact ion pair. In this work, we define the PT reaction asymmetry within the hydrogen-bonded complex; a difference in certain work terms would need to be incorporated to connect to the free energy difference for the separated species. See for example ref 2c. Because this plays no essential role in the analysis, we do not incorporate it here.
  • 95
    • 0003523215 scopus 로고
    • Hadzi, D., Thompson, H.W., Eds.; Pergamon Press: London
    • (c) Coulson, C.A. In Hydrogen Bonding; Hadzi, D., Thompson, H.W., Eds.; Pergamon Press: London, 1959.
    • (1959) Hydrogen Bonding
    • Coulson, C.A.1
  • 97
    • 0011108125 scopus 로고    scopus 로고
    • note
    • 35 it adds complexity in the present context without changing any conclusions made throughout this paper.
  • 105
    • 0001256036 scopus 로고
    • The literature here is quite extensive. Some reviews include (a) Bagchi, B. Annu. Rev. Phys. Chem. 1989, 40, 115.
    • (1989) Annu. Rev. Phys. Chem. , vol.40 , pp. 115
    • Bagchi, B.1
  • 106
    • 0030218268 scopus 로고    scopus 로고
    • (b) Barbara, P.F.; Meyer, T.J.; Ratner, M.A. J. Phys. Chem. 1996, 100, 13 148. An extensive reference list for ET simulations involving ΔE can be found in ref 26 of ref 17d.
    • (1996) J. Phys. Chem. , vol.100 , pp. 13148
    • Barbara, P.F.1    Meyer, T.J.2    Ratner, M.A.3
  • 107
    • 0000450531 scopus 로고
    • The eigenstates and eigenenergies in eq 2.13 are obtained using a discrete variable representation basis. See for example (a) Light, J.C.; Hamilton, I.P.; Lill, J.V. J. Chem. Phys. 1985, 82, 1400.
    • (1985) J. Chem. Phys. , vol.82 , pp. 1400
    • Light, J.C.1    Hamilton, I.P.2    Lill, J.V.3
  • 109
    • 0011090697 scopus 로고    scopus 로고
    • note
    • 12 However, the extra parameters so introduced would add unnecessary complexity to the model without changing its basic structure. Sample calculations have shown that the single Morse model gives results similar to those of the composite two potential models.
  • 111
    • 0011155775 scopus 로고    scopus 로고
    • note
    • min and ZPE in Sec. 5. Nonetheless, our preliminary investigations including intrinsic asymmetry indicate that the FER and its underlying physical picture are not significantly altered. The inclusion of intrinsic asymmetry will be presented in future work.
  • 112
    • 0011089075 scopus 로고    scopus 로고
    • note
    • 12,44.
  • 118
    • 0011148224 scopus 로고    scopus 로고
    • note
    • Although the latter PT is in an O⋯N hydrogen bond, the dipole moments for PT within an O⋯O hydrogen bond are not expected to differ significantly. We also note that although the selected reactant diabatic dipole moment is zero (which emphasizes the expected difference from the diabatic product dipole moment in an H-bonded PT system), the resulting electronically adiabatic dipole moment eq 2.5 for the neutral reactant is actually nonzero: ∼1 D. The magnitude of the diabatic dipole moments will not affect the resulting theory and FER.; only the numerical value of the latter's ingredients will be altered.
  • 119
    • 0011125772 scopus 로고    scopus 로고
    • note
    • vac = 91-108 kcal/mol values bracketing the symmetric reaction.
  • 120
    • 0011088985 scopus 로고    scopus 로고
    • note
    • eq, the R and P partition functions for the fluctuating ΔE coordinate and momentum also enter in principle. However, for the systems described within, those contributions are identical for R and P and cancel out, leaving the definition in the text. These issues, which are discussed for other reactions in refs 37a and 37b, arise in connection with what we term intrinsic asymmetry, and are treated elsewhere.
  • 123
    • 0011141748 scopus 로고    scopus 로고
    • note
    • We will return to the issue of the small activation barrier in II, where we will discuss certain difficulties found in some treatments.
  • 124
    • 0011141749 scopus 로고    scopus 로고
    • note
    • Here, the rate of PT is defined as the interconversion of the reactant and product H-bond complexes which are separated by a barrier (See Figure 3), and thus, no diffusional rate of formation of these complexes is included in the PT rate. For extreme asymmetric reactions the harrier is wiped out, and PT is then limited by diffusion. Hence, no inverted regime is expected for adiabatic PT, a point also noted by Marcus.
  • 127
    • 0011122706 scopus 로고
    • For "abnormal" or "anomalous" PT Brønsted behavior, see the following, and references therein: (a) Pross, A. Adv. Phys. Org. Chem. 1985, 21, 166.
    • (1985) Adv. Phys. Org. Chem. , vol.21 , pp. 166
    • Pross, A.1
  • 128
    • 0000053815 scopus 로고    scopus 로고
    • (b) Baksic, D.; Bertran, J.; Lluch, J.M.; Hynes, J.T. J. Phys. Chem. A 1998, 102, 3977. This behavior likely involves the necessity of more than two VB states in the description, and so is not governed by the present theory.
    • (1998) J. Phys. Chem. A , vol.102 , pp. 3977
    • Baksic, D.1    Bertran, J.2    Lluch, J.M.3    Hynes, J.T.4
  • 129
    • 0011148226 scopus 로고    scopus 로고
    • note
    • E = 13.6 kcal/mol, a constant independent of the reaction asymmetry via eq 5.15.
  • 130
    • 85056020425 scopus 로고    scopus 로고
    • note
    • ‡.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.