Pseudospectral approach to relativistic molecular theory

Area of Science:

• Computational Chemistry
• Relativistic Quantum Mechanics

Background:

• Traditional relativistic quantum chemistry methods can be computationally intensive.
• The pseudospectral (PS) approach offers potential for improved efficiency in electronic structure calculations.

Purpose of the Study:

• To develop and implement an efficient relativistic Dirac-Hartree-Fock (DHF) and Dirac-Kohn-Sham (DKS) method using the pseudospectral (PS) approach.
• To enhance numerical accuracy and computational efficiency in relativistic electronic structure calculations.
• To validate the method by predicting photoelectron spectra of heavy element complexes.

Main Methods:

• Application of the pseudospectral (PS) approach to relativistic Dirac-Hartree-Fock (DHF) and Dirac-Kohn-Sham (DKS) methods.
• Implementation of the relativistic PS-DHF/DKS method into the REL4D software package.
• Testing the method on molecular systems, including hexacarbonyl complexes of tungsten and seaborgium.

Main Results:

• The relativistic PS-DHF/DKS method demonstrates higher computational efficiency compared to traditional approaches.
• The method achieves high numerical accuracy without loss of precision.
• Successful theoretical assignment and prediction of photoelectron spectra for tungsten and seaborgium hexacarbonyl complexes.

Conclusions:

• The relativistic pseudospectral Dirac-Hartree-Fock (DHF) and Dirac-Kohn-Sham (DKS) methods provide an efficient and accurate computational tool.
• This approach is suitable for studying the electronic properties of heavy element compounds.
• The method advances the theoretical prediction of spectroscopic properties in relativistic quantum chemistry.