Introduction
The recent development of the Projector Augmented Wave (PAW)41 Car-Parrinello132 method has allowed for practical ab initio molecular dynamics simulations of transition metal complexes to be performed.133,134 We have recently applied the method to study olefin polymerization 123,135 and other catalytic processes. We have found the ab initio molecular dynamics method to be a practical computational tool for studying homogenous catalysis. For a list of PAW aplications with molecular dynamics animations click here : PAW Applications .
What is Molecular Dynamics137-142?
Conventional electronic structure calculations can be classified as static simulations. In these calculations the nuclear positions are optimized to locate local minima and transition states on the potential surface at the zero temperature limit. This involves, for each nuclear geometry, converging the electronic structure in order to determine the energy and forces on the nuclei. Using specialied algorithms, this information is then used to move the nuclei to a more optimal geometry. In classical molecular dynamics the nuclei are allowed to move on the potential surface according to Newton's classical laws of motion (Eqn. 1) as to simulate nuclear motion at finite (non-zero) temperatures.
(1)
The nuclear motion generated in a molecular
dynamics simulation can be utilized for a variety of purposes. Stationary
points can be optimized by simply applying friction to the nuclear motion,
thereby causing the system to settle into a local minimum. The motion can
also be used to sample configuration space as to construct a partition
function from which properties can be derived rigorously from statistical
mechanics. There are also global minimization schemes which utilize molecular
dynamics, such as simulated annealing.
References
(41) Blöchl, P. E. Phys. Rev. B 1994, 50, 17953.
(122) Woo, T. K.; Margl, P. M.; Blöchl, P. E.; Ziegler, T. in preparation.
(123) Woo, T. K.; Margl, P. M.; Lohrenz, J. C. W.; Blöchl, P. E.; Ziegler, T. J. Am. Chem. Soc. 1996, 118, 13021.
(124) Brookhart, M., Department of Chemistry, University of North Carolina at Chapel Hill. A private communication.
(125) Brintzinger, H. H.; Fischer, D.; Mülhaupt, R.; Rieger, B.; Waymouth, R. M. Angew. Chem. Int. Ed. Engl. 1995, 34, 1143.
(126) Cavallo, L.; Guerra, G. Macromolecules 1996, 29, 2729.
(127) Hart, J. R.; Rappé, A. K. J. Am. Chem. Soc. 1993, 115, 6159.
(128) Morokuma, K.; Yoshida, T.; Koga, N. Organometallics 1996, 15, 2766.
(129) Deng, L.; Ziegler, T.; Woo, T. K.; Margl, P. M.; Fan, L. Organometallics accepted,
(130) McConville, D. H., Department of Chemistry, University of British Columbia. A private communication.
(131) Piers, W. E., Department of Chemistry, University of Calgary. A private communication.
(132) Car, R.; Parrinello, M. Phys. Rev. Lett. 1985, 55, 2471.
(133) Margl, P.; Blöchl, P.; Ziegler, T. J. Am. Chem. Soc. 1995, 117, 12625.
(134) Margl, P.; Schwarz, K.; Blöchl, P. E. J. Am. Chem. Soc. 1994, 116, 11177.
(135) Woo, T. K.; Margl, P. M.; Blöchl, P. E.; Ziegler, T. Organometallics 1997, 16, 3454.
(136) Woo, T. K.; Margl, P. M.; Deng, L.; Ziegler, T. in Science and Catalysis: Advances and Applications of Computational Chemical Modelling to Heterogeneous Catalysis; M. Neurock and R. A. van-Santen, Ed.; Elsevier: in press.
(137) Margl, P. M.; Woo, T. K.; Blöchl, P. E.; Ziegler, T. J. Am. Chem. Soc. 1998, 120, 2174.
(138) Tuckerman, M. E.; Parrinello, M. J. Phys. Chem. 1996, 100, 12878.
(139) Remler, D. K.; Madden, P. A. Mol. Phys. 1990, 70, 921.
(140) Verlet, L. Phys. Rev. 1967, 159, 98.
(141) Hockney, R. W. Methods Comp. Phys. 1970, 9, 136.
(142) Hartke, B.; Carter, E. A. J. Chem. Phys. 1992, 97, 6569.