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Dynamical optimization for partition theory.

Morrel H Cohen1, Roberto Car

  • 1Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA.

The Journal of Physical Chemistry. A
|December 29, 2007
PubMed
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Partition theory (PT) offers an exact way to divide chemical systems. A new method combines PT with Car-Parrinello (CP) for practical electronic structure calculations.

Area of Science:

  • Theoretical Chemistry
  • Computational Chemistry
  • Quantum Chemistry

Background:

  • Partitioning chemical systems is a fundamental challenge in theoretical chemistry.
  • Existing methods lack a formally exact and computationally feasible approach.
  • Density functional theory (DFT) provides a foundation for such partitioning.

Purpose of the Study:

  • To generalize the Car-Parrinello (CP) method for practical implementation of partition theory (PT).
  • To enable exact DFT-based partitioning of chemical systems.
  • To facilitate numerical computation of electronic structure within PT.

Main Methods:

  • Generalization of the Car-Parrinello (CP) method.
  • Application of CP to constrained optimization problems in partition theory (PT).

Related Experiment Videos

  • Development of an exact DFT formulation for molecular partitioning.

    • Main Results:

    • A novel CP method suitable for PT has been developed.
    • The computational complexity is not increased compared to standard electronic structure calculations.
    • An exact DFT formulation for theories like atoms in molecules is achieved.

    Conclusions:

    • The proposed CP implementation of PT allows for practical numerical calculations.
    • This approach provides an exact DFT framework for analyzing chemical systems.
    • It paves the way for advanced computational studies in theoretical chemistry.