Quantum mechanical/quantum mechanical methods. I. A divide and conquer strategy for solving the Schrödinger equation for large molecular systems using a composite density functional–semiempirical Hamiltonian
10.1063/1.1290608
Crossref journal-article
AIP Publishing
The Journal of Chemical Physics (317)
Abstract

Herein we describe a new combined quantum mechanical/quantum mechanical (QM/QM) method for solving the Schrödinger equation for large molecular systems. The new method uses the divide and conquer (D&C) strategy to partition a large molecular system into subsystems and a composite density functional theory (DFT)–semiempirical (SEM) Hamiltonian to describe the molecular interactions. The DFT and SEM subsystems are coupled through the chemical potential and are equilibrated by exchanging electronic charge. Calculations performed with the DFT, SEM, and composite (DFT/SEM) methods on diatomic, triatomic, and polyatomic molecules show that as one moves away from the QM/QM boundary region the Mulliken charges converge to the values that would be obtained using the “pure” Hamiltonian. In other words, we find that the quality of each SEM and DFT wave function is largely conserved, which strongly suggests that this type of approach could be applied to study chemical reactivity much in the same way combined quantum mechanical/molecular mechanical (QM/MM) methods are presently utilized.

Bibliography

Gogonea, V., Westerhoff, L. M., & Merz, K. M. (2000). Quantum mechanical/quantum mechanical methods. I. A divide and conquer strategy for solving the Schrödinger equation for large molecular systems using a composite density functional–semiempirical Hamiltonian. The Journal of Chemical Physics, 113(14), 5604–5613.

Authors 3
  1. Valentin Gogonea (first)
  2. Lance M. Westerhoff (additional)
  3. Kenneth M. Merz (additional)
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Dates
Type When
Created 23 years, 1 month ago (July 26, 2002, 8:41 a.m.)
Deposited 2 years, 1 month ago (July 8, 2023, 10:24 p.m.)
Indexed 1 month ago (July 24, 2025, 8:03 a.m.)
Issued 24 years, 10 months ago (Oct. 8, 2000)
Published 24 years, 10 months ago (Oct. 8, 2000)
Published Print 24 years, 10 months ago (Oct. 8, 2000)
Funders 0

None

@article{Gogonea_2000, title={Quantum mechanical/quantum mechanical methods. I. A divide and conquer strategy for solving the Schrödinger equation for large molecular systems using a composite density functional–semiempirical Hamiltonian}, volume={113}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1290608}, DOI={10.1063/1.1290608}, number={14}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Gogonea, Valentin and Westerhoff, Lance M. and Merz, Kenneth M.}, year={2000}, month=oct, pages={5604–5613} }