Reducing the Computational Complexity of Electron Correlation Techniques

Award Information
Agency: Department of Defense
Branch: Air Force
Contract: N/A
Agency Tracking Number: 36693
Amount: $750,000.00
Phase: Phase II
Program: SBIR
Awards Year: 1997
Solicitation Year: N/A
Solicitation Topic Code: N/A
Solicitation Number: N/A
Small Business Information
317 Whipple Street, Pittsburgh, PA, 15218
DUNS: N/A
HUBZone Owned: N
Woman Owned: N
Socially and Economically Disadvantaged: N
Principal Investigator
 Benny G. Johnson
 (412) 828-7106
Business Contact
Phone: () -
Research Institution
N/A
Abstract
This Small Business Innovation Phase I project aims to demonstrate that it is possible to reduce the scaling of computational complexity iwth molecular size from quintic to quadratic for the widely used dsecond order moller-plesset method (MP2). MP2 theory is the simplest class of quantum mechanical methods for predicting structure and reactivity of molecules with the proper inclusion of correlations between electrons, as is essential for obtaining useful accuracy. The reduction in the compuational complexity will permit applications of the MP2 method to much larger moleucles that must at present be treated the even more accurate Coupled Cluster Method in Phase II. The reduction is made possible by exploiting natural length scales on which electrons in molecules are localized, and reformulating the defining equations of MP2 theory in local terms that permit rigorous elimination of numerically small quantities. Numerical results on a range of prototypical model systems will be obtained to demonstrate feasibility and to quantify the potential advantages relative to conventional implementations of the MP2 method for treating large molecules.

* Information listed above is at the time of submission. *

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