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This study introduces a direct iterative method for calculating polarizabilities using the dipole interaction model (DIM), overcoming limitations of traditional matrix inversion. This approach enables precise, large-scale atomic system calculations efficiently.

Keywords:
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Area of Science:

  • Computational chemistry
  • Materials science
  • Quantum mechanics

Background:

  • The dipole interaction model (DIM) is used for calculating atomic dipole moments and polarizabilities.
  • Traditional DIM polarizability calculations involve matrix inversion, which is computationally expensive and memory-intensive.
  • Existing iterative methods improve speed but often compromise accuracy.

Purpose of the Study:

  • To develop a direct iterative approach for computing polarizabilities within the DIM framework.
  • To overcome the computational and memory constraints of traditional matrix inversion methods.
  • To enable accurate polarizability calculations for large-scale atomic systems.

Main Methods:

  • A novel direct iterative method for polarizability computation was developed, avoiding matrix inversion.
  • The method addresses memory limitations by optimizing the storage of large arrays.
  • The approach allows for scaling to systems with hundreds of thousands of atoms.

Main Results:

  • The new method achieves accurate polarizability calculations without matrix inversion.
  • It significantly improves computational efficiency and reduces memory requirements.
  • The approach scales effectively to very large atomic systems without precision loss.

Conclusions:

  • The developed direct iterative method offers an efficient and precise alternative for DIM polarizability calculations.
  • This advancement facilitates the study of polarizabilities in large and complex systems.
  • The method has broad applicability in computational chemistry and materials science.