On the evaluation and analysis of the Marcus-Hush-Chidsey integral

Journal of Electroanalytical Chemistry

Volumn 655, Issue 1, 2011, Pages 65-72

  Oldham, Keith B ^a   Myland, Jan C ^a  

^a TRENT UNIVERSITY   (Canada)

Author keywords

Butler Volmer; Electrode kinetics; Marcus Hush; Overvoltage; Rate constant; Reorganization energy

Indexed keywords

ELECTROLYSIS;

BUTLER-VOLMER; ELECTRODE KINETICS; MARCUS-HUSH; OVER-VOLTAGES; REORGANIZATION ENERGY;

RATE CONSTANTS;

EID: 79953678357     PISSN: 15726657     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jelechem.2011.01.044     Document Type: Article

References (16)

1. See, for example A.J. Bard, and L.R. Faulkner Electrochemical Methods 2E 2001 Wiley Section 3.3
2. See Ref. [6] and citations therein for background literature.
3. C.E.D. Chidsey Science 251 1991 919
4. G.P. Stevenson, R.E. Baker, A.M. Bond, S.W. Feldberg, D.J. Gavaghan, K. Gillow, Private communication, 2009.
5. T.M. Nahir J. Electroanal. Chem. 518 2002 47
6. S.W. Feldberg Anal. Chem. 82 2010 5176
7. For example R.J. Forster, P. Loughman, and T.E. Keyes J. Am. Chem. Soc. 122 2000 11948
8. DigiElch, see M. Rudolph, < http://www.elchsoft.com/DigiElch/Default. aspx >.
9. A comparison was made with data kindly supplied by Garth Stevenson, who used the Gauss-Hermite integration scheme with formula (6).
10. K. Oldham, J. Myland, and J. Spanier An Atlas of Functions 2E 2009 Wiley Eqs. (41:4:2) and (41:4:6)
11. This expansion fails at x = 0, but this causes no problems in practice.
12. Eq. (27:10:10) of Ref. [10].
13. See Chapter 3 of Ref. [10], and especially formula (3:5:2); also Eq. (5:4:1).
14. 12 = 27027665. See Chapter 5 of Ref. [10].
15. 8/4!. Halving the last retained term in truncating an alternating series is a useful aid to convergence.
16. Section 10:14 of Ref. [10].