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Volumn 106, Issue 2, 1997, Pages 584-598

A sequential formula for electronic coupling in long range bridge-assisted electron transfer: Formulation of theory and application to alkanethiol monolayers

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EID: 0346266823     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.473398     Document Type: Article
Times cited : (93)

References (75)
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    • (b) for other methods for long range ET, see A. Kuki and P. G. Wolynes, Science 236, 1647 (1987); L. S. Conrad, K. V. Mikklesen, M. K. Nielsen, and J. Ulstrup, Inorg. Chem, 29, 2808 (1990); S. F. Sneddon and C. L. Brooks, J. Am. Chem. Soc. 114, 8220 (1992); J. M. Gruschus and A. Kuki, J. Phys. Chem. 97, 5581 (1993); A. Okada, T. Kakitani, and J. Inoue, ibid. 99, 2946 (1995). among others.
    • (1995) J. Phys. Chem. , vol.99 , pp. 2946
    • Okada, A.1    Kakitani, T.2    Inoue, J.3
  • 44
    • 5644303218 scopus 로고
    • H. M. McConnell, J. Chem. Phys. 35, 508 (1961); the single band problem is also solved and discussed in detail by K. F. Herzfeld, ibid. 10, 508 (1942).
    • (1961) J. Chem. Phys. , vol.35 , pp. 508
    • McConnell, H.M.1
  • 45
    • 36849138453 scopus 로고
    • H. M. McConnell, J. Chem. Phys. 35, 508 (1961); the single band problem is also solved and discussed in detail by K. F. Herzfeld, ibid. 10, 508 (1942).
    • (1942) J. Chem. Phys. , vol.10 , pp. 508
    • Herzfeld, K.F.1
  • 46
    • 33845557459 scopus 로고
    • S. Larsson, J. Am. Chem. Soc. 103, 4034 (1981); P. O. Löwdin, J. Mol. Spectrosc. 10, 12 (1963); J. Math. Phys. 3, 969 (1962).
    • (1981) J. Am. Chem. Soc. , vol.103 , pp. 4034
    • Larsson, S.1
  • 47
    • 0001860865 scopus 로고
    • S. Larsson, J. Am. Chem. Soc. 103, 4034 (1981); P. O. Löwdin, J. Mol. Spectrosc. 10, 12 (1963); J. Math. Phys. 3, 969 (1962).
    • (1963) J. Mol. Spectrosc. , vol.10 , pp. 12
    • Löwdin, P.O.1
  • 48
    • 35948947765 scopus 로고
    • S. Larsson, J. Am. Chem. Soc. 103, 4034 (1981); P. O. Löwdin, J. Mol. Spectrosc. 10, 12 (1963); J. Math. Phys. 3, 969 (1962).
    • (1962) J. Math. Phys. , vol.3 , pp. 969
  • 51
    • 5844225423 scopus 로고    scopus 로고
    • note
    • n-2This expression is similar to Eq. (3), which is McConnell's estimation.
  • 52
    • 5844280121 scopus 로고    scopus 로고
    • note
    • 1,2 are usually not preserved. In the present form, a specially designed algorithm would be needed in any numerical calculation using above expressions.
  • 53
    • 85087248851 scopus 로고    scopus 로고
    • note
    • -βd(Eq. (30)). They are slightly different because the reorganizational energy λ is dependent of distance. Here, the latter definition was used, with d being taken as the number of methylene units.
  • 54
    • 36849118773 scopus 로고
    • For integrating over the electronic energy levels in the metal the weighting function in Eq. (6) of R.A. Marcus, J. Chem. Phys. 43, 679 (1965) is used, noting that only the second two factors there vary much with the ε in Eq. (6) there.
    • (1965) J. Chem. Phys. , vol.43 , pp. 679
    • Marcus, R.A.1
  • 63
    • 5844255795 scopus 로고    scopus 로고
    • note
    • See AIP Document No. PAPS JCPSA-106-584-19 for 19 pages of a list of the coordinate used for the calculation and a figure showing the geometry of the principal chain and a neighboring chain. Order by PAPS number and journal reference from American Institute of Physics, Physics Auxiliary Publication Service, Carolyn Gehlbach, 500 Sunnyside Boulevard, Woodbury, NY 11797-2999. Fax: 516-576-2223, e-mail paps@aip.org. The price is $1.50 for each microfiche (98 pages) or $5.00 for photocopies of up to 30 pages, and $0.15 for each additional page over 30 pages. Airmail additional. Make checks payable to the American Institute of Physics.
  • 71
    • 35949032659 scopus 로고
    • K. J. Less and E. G. Wilson, J. Phys. C 6, 3110 (1973); M. Fujihira and H. Inokuchi, Chem. Phys. Lett. 17, 554 (1972).
    • (1973) J. Phys. C , vol.6 , pp. 3110
    • Less, K.J.1    Wilson, E.G.2
  • 73
    • 33751158272 scopus 로고
    • 2 does not depend on λ (Eqs. (43) and (44)). so the calculation for various of chain lengths is a straightforward generalization without considering the dependence of λ on the chain length n. For calculating the reaction rate with Eq. (30), proper values of λ are needed for different chain lengths, which has been discussed in the following reference: Y. P. Liu and M. D. Newton, J. Phys. Chem. 98, 7162 (1994).
    • (1994) J. Phys. Chem. , vol.98 , pp. 7162
    • Liu, Y.P.1    Newton, M.D.2


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