Efficient random phase approximation for diradicals

Area of Science:

• Quantum chemistry
• Computational physics
• Theoretical chemistry

Background:

• Diradical molecules possess two unpaired electrons, making their electronic structure complex.
• Accurate prediction of their properties, such as singlet-triplet splitting, is crucial for understanding chemical reactivity.

Purpose of the Study:

• To apply an analytically solvable two-electron, two-orbital model to diradical systems.
• To incorporate the influence of doubly occupied and empty orbitals using random phase approximation (RPA).
• To validate the model by comparing its predictions with established multi-reference methods.

Main Methods:

• Utilized an analytically solvable model for two electrons in two orbitals.
• Employed the random phase approximation (RPA) to account for other orbitals.
• Investigated the static limit of RPA for parameter renormalization.
• Compared singlet-triplet splitting predictions with multi-reference computational results for thirteen molecules.

Main Results:

• The direct random phase approximation (RPA) in the static limit renormalize parameters of the two-orbital model.
• The model's predictions for singlet-triplet splitting show good agreement with multi-reference methods.
• Specifically, static RPA results closely matched NEVPT2 calculations within a two-orbital, two-electron active space.

Conclusions:

• The analytically solvable two-electron, two-orbital model, augmented by RPA, provides a computationally efficient approach for studying diradicals.
• The model's accuracy in predicting singlet-triplet splitting highlights its potential for theoretical chemistry applications.
• Further validation against various multi-reference techniques is recommended for broader applicability.