Analytic gradients for multiconfiguration pair-density functional theory with density fitting: Development and application to geometry optimization in the ground and excited states

Abstract

Density fitting reduces the computational cost of both energy and gradient calculations by avoiding the computation and manipulation of four-index electron repulsion integrals. With this algorithm, one can efficiently optimize the geometries of large systems with an accurate multireference treatment. Here, we present the derivation of multiconfiguration pair-density functional theory for energies and analytic gradients with density fitting. Six systems are studied, and the results are compared to those obtained with no approximation to the electron repulsion integrals and to the results obtained by complete active space second-order perturbation theory. With the new approach, there is an increase in the speed of computation with a negligible loss in accuracy. Smaller grid sizes have also been used to reduce the computational cost of multiconfiguration pair-density functional theory with little effect on the optimized geometries and gradient values.

Document Details

Document Type
Pub Defense Publication
Publication Date
Feb 18, 2021
Source ID
10.1063/5.0039258

Entities

People

  • Andrew M. Sand
  • Donald Truhlar
  • Laura Gagliardi
  • Matthew R Hermes
  • Meagan S Oakley
  • Roland Lindh
  • Thais Scott

Organizations

  • Air Force Office of Scientific Research
  • Butler University
  • National Science Foundation
  • University of Chicago
  • University of Minnesota Supercomputing Institute
  • Uppsala University

Tags

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Quantum Chemistry
  • Robotics and Automation.

Technology Areas

  • Microelectronics
  • Space
  • Space - Orbital Debris