Basis set limit Hartree-Fock and density functional theory response property evaluation by multiresolution...

Area of Science:

• Computational Chemistry
• Quantum Chemistry
• Materials Science

Background:

• Accurate calculation of molecular properties is crucial for understanding chemical behavior.
• Traditional basis sets can face limitations in achieving complete space convergence.
• Evaluating response properties requires robust and efficient computational methods.

Purpose of the Study:

• To introduce and evaluate a novel multiresolution multiwavelet (MRMW) basis set for response property calculations.
• To assess the efficiency and accuracy of the MRMW method for molecular polarizability.
• To compare the MRMW approach with conventional Gaussian basis set computations.

Main Methods:

• Utilizing multiresolution multiwavelet (MRMW) basis sets for electronic structure calculations.
• Employing direct projection of the perturbed density operator onto the zeroth order density operator.
• Applying the method within Hartree-Fock and Kohn-Sham density functional theory frameworks.
• Calculating molecular polarizabilities for small molecules.

Main Results:

• The MRMW basis set enables the evaluation of response properties with high precision.
• Computed polarizabilities demonstrate convergence to effectively complete space.
• The method shows promising efficiency compared to standard Gaussian basis set computations.

Conclusions:

• The MRMW basis set is a viable and efficient tool for calculating molecular polarizabilities.
• This approach offers a pathway to achieve converged electronic structure calculations.
• The MRMW method presents a competitive alternative for computational chemistry applications.