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SDSPT2s:SDSPT2 with Selection
Yibo Lei1, Yang Guo2, Bingbing Suo3
1Key Laboratory of Synthetic and Natural Functional Molecule of the Ministry of Education, College of Chemistry and Materials Science, Shaanxi Key Laboratory of Physico-Inorganic Chemistry, Northwest University, Xi'an 710127, China.
Journal of Chemical Theory and Computation
|January 23, 2025
Summary
This study introduces SDSPT2s, an efficient approximation to multireference second-order perturbation theory. It enables accurate calculations for larger systems by reducing computational complexity through selection and truncation methods.
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Theoretical Chemistry
Background:
- Static-dynamic-static (SDS) configuration interaction (CI) is a minimal multireference configuration interaction (MRCI) method.
- SDSPT2 is a CI-like multireference second-order perturbation theory (PT2) that approximates SDSCI.
- SDSPT2 handles single and multiple roots uniformly, allowing for configuration selection.
Purpose of the Study:
- To present an efficient approximation to SDSPT2, termed SDSPT2s (SDSPT2 with selection).
- To enable accurate quantum chemical calculations for larger and more complex systems.
- To demonstrate the applicability of SDSPT2s through challenging computational showcases.
Main Methods:
- Configuration selection is applied to a large complete active space (CAS) to reduce the reference space.
- The interacting space is reduced by connecting the reduced reference space to a small portion of the full first-order interacting space.
- The most computationally expensive part of the reduced interacting space is truncated by bypassing its generation and applying an integral-based cutoff.
- Internal contraction coefficients are evaluated and stored efficiently.
Main Results:
- The selection-truncation procedure in SDSPT2s achieves this reduction with marginal loss of accuracy.
- SDSPT2s is shown to be applicable to systems that are intractable for the standard CAS-based SDSPT2.
- Several challenging computational examples demonstrate the effectiveness of the SDSPT2s method.
Conclusions:
- SDSPT2s significantly enhances the applicability of multireference second-order perturbation theory to larger quantum chemical systems.
- The method provides a computationally feasible approach for studying complex molecular systems previously beyond reach.
- This work advances the capabilities of theoretical chemistry for accurate electronic structure calculations.

