Towards a general purpose code for the evaluation of correlation in crystalline solids: The CRYSCOR project. Theory, current status and prospects

Lorenzo Maschio

Universita degli Studi di Torino, Dipartimento di Chimica I.F.M., Torino, Italy

The CRYSCOR project is currently carried on at the Theoretical Chemistry Group in Torino, and at the Regensburg Group of Physical and Theoretical Chemistry [1]. It is aimed at exploiting the availability of high-quality Hartree-Fock solutions for non-conducting crystalline systems as provided by the CRYSTAL code [2] in order to extend to periodic systems local correlation On techniques as proposed by Pulay, Werner and co-workers, and as successfully implemented in the MOLPRO program [3].
The objective is to soon provide a public code, characterized by high flexibility, generality and ease of use, for estimating the electron correlation contribution to a number of crystalline properties, first of all ground state energy. For the time being, the code is limited to the solution of local-MP2 equations, with extension to Spin Component Scaled MP2 [4].

In this presentation the main motivations for this project, the strategy adopted, the difficulties encountered and the developments envisaged in the short and long term are outlined. A large part will be devoted to the approximate evaluation of four-index composite electron-repulsion integrals, which constitute the bottleneck of all MP2 methods. The recent adaptation and implementation of local Density-Fitting techniques to Periodic systems [5,6] has reduced calculation timing up to three orders of magnitude, without any significant loss in accuracy. Other methods for integrals approximation include the multipolar expansion and the Lennard-Jones extrapolation thechniques.

Present features and capabilities of the code will be shown together with examples, and a list of up-to-date feasible systems will be presented.

[1] C. Pisani, M. Busso, G. Capecchi, S. Casassa, R. Dovesi, L. Maschio, C.M. Zicovich-Wilson, M. Schütz, J. Chem. Phys. 122, 094113 (2005).
[2] R. Dovesi, V.R. Saunders, C. Roetti, R. Orlando, C.M. Zicovich-Wilson, F. Pascale, B. Civalleri, K. Doll, N.M. Harrison, I.J. Bush, Ph. D'Arco, M. Llunell, CRYSTAL06 User's manual.
[3] H.J. Werner, P. J. Knowles, R. Lindh, F. R. Manby and M. Schütz and others, MOLPRO 2006.1
[4] S. Grimme, J. Chem. Phys. 118, 9095 (2003)
[5] L. Maschio, D. Usvyat, F. R. Manby, S. Casassa, C. Pisani and M. Schütz, Phys. Rev. B in press.
[6] D. Usvyat, L. Maschio, F. R. Manby, S. Casassa, M. Schütz and C. Pisani, Phys. Rev. B in press.

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