Charge constrained density functional molecular dynamics for simulation of condensed phase electron transfer reactions
J. Chem. Phys. 131, 064101 (2009); doi:10.1063/1.3190169
Published 10 August 2009
You are not logged in to this journal. Log in
We present a plane-wave basis set implementation of charge constrained density functional molecular dynamics (CDFT-MD) for simulation of electron transfer reactions in condensed phase systems. Following the earlier work of Wu and Van Voorhis [Phys. Rev. A 72, 024502 (2005)], the density functional is minimized under the constraint that the charge difference between donor and acceptor is equal to a given value. The classical ion dynamics is propagated on the Born–Oppenheimer surface of the charge constrained state. We investigate the dependence of the constrained energy and of the energy gap on the definition of the charge and present expressions for the constraint forces. The method is applied to the Ru2+–Ru3+ electron self-exchange reaction in aqueous solution. Sampling the vertical energy gap along CDFT-MD trajectories and correcting for finite size effects, a reorganization free energy of 1.6 eV is obtained. This is 0.1−0.2 eV lower than a previous estimate based on a continuum model for solvation. The smaller value for the reorganization free energy can be explained by the fact that the Ru–O distances of the divalent and trivalent Ru hexahydrates are predicted to be more similar in the electron transfer complex than for the separated aqua ions.
©2009 American Institute of Physics
| History: | Received 28 April 2009; accepted 8 July 2009; published 10 August 2009 |
| Permalink: |
http://link.aip.org/link/?JCPSA6/131/064101/1 |
KEYWORDS and PACS
RELATED DATABASES
PUBLICATION DATA
0021-9606 (print)
1089-7690 (online)
REFERENCES (59)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- A. Warshel,
J. Phys. Chem. 86, 2218 (1982) . - J. K. Hwang and A. Warshel,
J. Am. Chem. Soc. 109, 715 (1987) . - G. King and A. Warshel, J. Chem. Phys. 93, 8682 (1990).
- R. A. Kuharski, J. S. Bader, D. Chandler, M. Sprik, M. L. Klein, and R. W. Impey, J. Chem. Phys. 89, 3248 (1988).
- J. S. Bader, R. A. Kuharski, and D. Chandler, J. Chem. Phys. 93, 230 (1990).
- T. Kakitani and N. Mataga,
J. Phys. Chem. 89, 8 (1985) . - M. Tachiya,
J. Phys. Chem. 93, 7050 (1989) . - E. A. Carter and J. T. Hynes,
J. Phys. Chem. 93, 2184 (1989) . - R. A. Marcus, J. Chem. Phys. 24, 966 (1956).
- P. H.-L. Sit, M. Cococcioni, and N. Marzari, Phys. Rev. Lett. 97, 028303 (2006).
- Y. Zhang and W. Yang, J. Chem. Phys. 109, 2604 (1998).
- P. Mori-Sanchez, A. J. Cohen, and W. Yang, J. Chem. Phys. 125, 201102 (2006).
- P. Mori-Sanchez, A. J. Cohen, and W. Yang, Phys. Rev. Lett. 100, 146401 (2008).
- A. J. Cohen, P. Mori-Sanchez, and W. Yang,
Science 321, 792 (2008) . - P. Mori-Sanchez, A. J. Cohen, and W. Yang, J. Chem. Phys. 124, 091102 (2006).
- A. J. Cohen, P. Mori-Sanchez, and W. Yang, J. Chem. Phys. 126, 191109 (2007).
- J. P. Perdew and A. Zunger, Phys. Rev. B 23, 5048 (1981).
- J. G. Harrison, J. Chem. Phys. 86, 2849 (1987).
- O. Gunnarsson, O. K. Andersen, O. Jepsen, and J. Zaanen, Phys. Rev. B 39, 1708 (1989).
- V. I. Anisimov and O. Gunnarsson, Phys. Rev. B 43, 7570 (1991).
- I. V. Solovyev and P. H. Dederichs, Phys. Rev. B 49, 6736 (1994).
- M. d'Avezac, M. Calandra, and F. Mauri, Phys. Rev. B 71, 205210 (2005).
- J. VandeVondele and M. Sprik,
Phys. Chem. Chem. Phys. 7, 1363 (2005) . - I. Tavernelli,
J. Phys. Chem. A 111, 13528 (2007) . - A. I. Liechtenstein, V. I. Anisimov, and J. Zaanen, Phys. Rev. B 52, R5467 (1995).
- A. Migliore, P. H.-L. Sit, and M. L. Klein,
J. Chem. Theory Comput. 5, 307 (2009) . - N. A. Deskins and M. Dupuis,
J. Phys. Chem. C 113, 346 (2009) . - P. H. Dederichs, S. Blügel, R. Zeller, and H. Akai, Phys. Rev. Lett. 53, 2512 (1984).
- H. Akai, S. Blügel, R. Zeller, and P. H. Dederichs, Phys. Rev. Lett. 56, 2407 (1986).
- Q. Wu and T. Van Voorhis, Phys. Rev. A 72, 024502 (2005).
- Q. Wu and T. Van Voorhis, J. Chem. Phys. 125, 164105 (2006).
- Q. Wu and T. Van Voorhis,
J. Phys. Chem. A 110, 9212 (2006) . - Q. Wu and T. Van Voorhis,
J. Chem. Theory Comput. 2, 765 (2006) . - Q. Wu and T. Van Voorhis, J. Chem. Phys. 127, 164119 (2007).
- Q. Wu, B. Kaduk, and T. Van Voorhis, J. Chem. Phys. 130, 034109 (2009).
- J. Behler, B. Delley, S. Lorenz, K. Reuter, and M. Scheffler, Phys. Rev. Lett. 94, 036104 (2005).
- J. Behler, B. Delley, K. Reuter, and M. Scheffler, Phys. Rev. B 75, 115409 (2007).
- J. R. Schmidt, N. Shenvi, and J. C. Tully, J. Chem. Phys. 129, 114110 (2008).
- CPMD Version 3.13.2. the CPMD consortium, http://www.cpmd.org, MPI für Festkörperforschung, and the IBM Zurich Research Laboratory, 2009.
- M. Sulpizi, U. Rothlisberger, and A. Laio,
J. Theor. Comput. Chem. 4, 985 (2005) . - F. L. Hirshfeld,
Theor. Chem. Acc. 44, 129 (1977) . - Y. Tateyama, J. Blumberger, M. Sprik, and I. Tavernelli, J. Chem. Phys. 122, 234505 (2005).
- J. Blumberger, I. Tavernelli, M. L. Klein, and M. Sprik, J. Chem. Phys. 124, 64507 (2006).
- J. Blumberger,
J. Am. Chem. Soc. 130, 16065 (2008) . - A. D. Becke, Phys. Rev. A 38, 3098 (1988).
- C. Lee, W. Yang, and R. Parr, Phys. Rev. B 37, 785 (1988).
- N. Troullier and J. Martins, Phys. Rev. B 43, 1993 (1991).
- J. Blumberger and G. Lamoureux,
Mol. Phys. 106, 1597 (2008) . - H. C. Andersen,
J. Comput. Phys. 52, 24 (1983) . - G. J. Martyna, M. L. Klein, and M. Tuckerman, J. Chem. Phys. 97, 2635 (1992).
- K. M. Rosso and J. R. Rustad,
J. Phys. Chem. A 104, 6718 (2000) . - J. Blumberger and M. Sprik,
Theor. Chem. Acc. 115, 113 (2006) . - J. Blumberger and M. Sprik,
J. Phys. Chem. B 109, 6793 (2005) . - F. P. Rotzinger,
J. Chem. Soc. Dalton Trans. 5, 719 (2002) . - P. Bernhard, L. Helm, A. Ludi, and A. E. Merbach,
J. Am. Chem. Soc. 107, 312 (1985) . - B. S. Brunschwig, C. Creutz, D. H. Macartney, T-K. Sham, and N. Sutin,
Faraday Discuss. Chem. Soc. 74, 113 (1982) . - P. Hunt and M. Sprik,
ChemPhysChem 6, 1805 (2005) . - I. G. Bronstein, K. A. Semendjajew, G. Musiol, and H. Mühlig, Taschenbuch der Mathematik, 4th ed. (Verlag Harri Deutsch, Frankfurt, 1999).
- P. A. Pieniazek, S. A. Arnstein, S. E. Bradforth, A. I. Krylov, and C. D. Sherrill, J. Chem. Phys. 127, 164110 (2007).








