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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Published on: April 8, 2020

An "optimal" spawning algorithm for adaptive basis set expansion in nonadiabatic dynamics.

Sandy Yang1, Joshua D Coe, Benjamin Kaduk

  • 1Department of Chemistry and The Beckman Institute, University of Illinois at Urbana-Champaign, 600 S. Mathews Ave., Urbana, Illinois 61801, USA.

The Journal of Chemical Physics
|April 10, 2009
PubMed
Summary
This summary is machine-generated.

The full multiple spawning (FMS) method optimizes quantum dynamics simulations by intelligently placing new basis functions. This new algorithm minimizes computational cost while accurately capturing electronic state transitions.

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Area of Science:

  • Quantum Chemistry
  • Computational Physics
  • Chemical Dynamics

Background:

  • Simulating quantum dynamics in multistate electronic systems is computationally challenging.
  • The full multiple spawning (FMS) method uses a basis of coupled, frozen Gaussians and a spawning procedure to model population transfer.
  • Adaptive basis set increase is crucial for capturing electronic state transitions.

Purpose of the Study:

  • To introduce a novel algorithm for optimizing the initial conditions of newly spawned basis functions in FMS.
  • To minimize the number of spawned basis functions required for accurate quantum dynamics simulations.
  • To enhance the efficiency and convergence of FMS simulations.

Main Methods:

  • Development of an algorithm for "optimally" spawning basis functions.
  • Placing spawned basis functions to maximize coupling between parent and child trajectories.
  • Testing the method using a two-state, one-mode avoided crossing model and a two-state, two-mode conical intersection model.

Main Results:

  • The new algorithm effectively minimizes the number of spawned basis functions needed for convergence.
  • "Optimally" spawned functions enhance the accuracy of population transfer simulations.
  • Successful application to both avoided crossing and conical intersection models.

Conclusions:

  • The presented algorithm significantly improves the efficiency of the full multiple spawning method.
  • Optimal spawning strategies are key to accurate and computationally feasible quantum dynamics simulations.
  • This advancement facilitates more complex simulations of chemical reactions and molecular processes.