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A self-consistent field quantum hydrodynamic approach for molecular clusters.

Sean W Derrickson1, Eric R Bittner

  • 1Department of Chemistry, University of Houston, Houston, Texas 77204, USA. sderrick@mail.uh.edu

The Journal of Physical Chemistry. A
|April 21, 2006
PubMed
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We developed a new orbital-free method for quantum clusters using hydrodynamics and information theory. This approach accurately calculates ground-state properties and cluster structures for rare-gas elements.

Area of Science:

  • Quantum mechanics
  • Computational physics
  • Materials science

Background:

  • Quantum clusters require accurate computational methods for predicting their properties.
  • Existing orbital-free methods often face challenges in computational efficiency and accuracy for quantum systems.

Purpose of the Study:

  • To introduce a novel, self-consistent orbital-free method for quantum clusters.
  • To demonstrate the method's capability in calculating ground-state properties and structures.

Main Methods:

  • A hydrodynamical approach based on the de Broglie-Bohm description of quantum mechanics.
  • An information-theoretical approach to derive optimal density functions from statistical samples.
  • Calculation of an approximate quantum force within the hydrodynamic framework.

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Main Results:

  • The method successfully satisfies an orbital-free density functional-like Euler-Lagrange equation.
  • Lowest-energy structures were computed for small argon and neon clusters (4, 5, 13, 19 atoms).
  • The approach shows utility and flexibility for various cluster sizes.

Conclusions:

  • The developed method offers a promising alternative for studying quantum clusters.
  • The approach is extendable to more complex systems, paving the way for future research.