Non-orthogonal extension of Graspg - dynamic electron correlation for large and compact active spaces
Abstract
Accurate relativistic multiconfiguration calculations of correlation-sensitive atomic properties are often limited by the rapid growth of configuration state function expansions when a single common orthonormal orbital basis is used. In this work, a partitioned correlation function interaction (PCFI) method is developed for relativistic atomic structure calculations. The correlation space is separated into physically motivated components, which are optimized independently with correlation-specific orbital sets. The interactions between configuration spaces constructed from mutually non-orthogonal orbital sets are evaluated using biorthonormal transformations, allowing different correlation effects to be combined in a compact final interaction calculation. Full details of the method are provided, emphasizing its connection to configuration state function generators (CSFGs), which significantly reduce the time required to construct the Hamiltonian matrix in conventional RCI calculations. Applications to the neutral Li, Be, and Al atoms are presented for energy levels, mass shifts and hyperfine structure constants. Compared with conventional relativistic configuration interaction (RCI) calculations that rely on a single orbital basis, PCFI produces more compact and predictable convergence patterns for both total and transition energies. It also offers greater stability for correlation-sensitive properties such as specific mass shifts and hyperfine constants. By using property-oriented partitions, PCFI captures core-polarization effects more effectively, thereby reducing the oscillatory behavior often observed in standard RCI approaches. Overall, the results demonstrate that PCFI provides a promising and computationally efficient framework for accurate relativistic multiconfiguration calculations of correlation-dependent atomic properties.
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BibTeX
@misc{wu2026nonorthogonal,
title = {{Non-orthogonal extension of Graspg - dynamic electron correlation for large and compact active spaces}},
author = {Sijie Wu and Ran Si and Chongyang Chen and Gediminas Gaigalas and Michel Godefroid and Per Jönsson},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.14362},
eprint = {2609.14362},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.14362},
}
RIS
TY - UNPB
TI - Non-orthogonal extension of Graspg - dynamic electron correlation for large and compact active spaces
AU - Sijie Wu
AU - Ran Si
AU - Chongyang Chen
AU - Gediminas Gaigalas
AU - Michel Godefroid
AU - Per Jönsson
PY - 2026
DA - 2026/09/13
PB - arXiv
DO - 10.48550/arxiv.2609.14362
UR - https://arxiv.org/abs/2609.14362
AB - Accurate relativistic multiconfiguration calculations of correlation-sensitive atomic properties are often limited by the rapid growth of configuration state function expansions when a single common orthonormal orbital basis is used. In this work, a partitioned correlation function interaction (PCFI) method is developed for relativistic atomic structure calculations. The correlation space is separated into physically motivated components, which are optimized independently with correlation-specific orbital sets. The interactions between configuration spaces constructed from mutually non-orthogonal orbital sets are evaluated using biorthonormal transformations, allowing different correlation effects to be combined in a compact final interaction calculation. Full details of the method are provided, emphasizing its connection to configuration state function generators (CSFGs), which significantly reduce the time required to construct the Hamiltonian matrix in conventional RCI calculations. Applications to the neutral Li, Be, and Al atoms are presented for energy levels, mass shifts and hyperfine structure constants. Compared with conventional relativistic configuration interaction (RCI) calculations that rely on a single orbital basis, PCFI produces more compact and predictable convergence patterns for both total and transition energies. It also offers greater stability for correlation-sensitive properties such as specific mass shifts and hyperfine constants. By using property-oriented partitions, PCFI captures core-polarization effects more effectively, thereby reducing the oscillatory behavior often observed in standard RCI approaches. Overall, the results demonstrate that PCFI provides a promising and computationally efficient framework for accurate relativistic multiconfiguration calculations of correlation-dependent atomic properties.
ER -