Chemical Research in Chinese Universities ›› 2025, Vol. 41 ›› Issue (5): 1100-1105.doi: 10.1007/s40242-025-5172-z

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Generalized Breathing Orbital Valence Bond Approach

YING Fuming, ZHOU Chen, WU Wei   

  1. State Key Laboratory of Physical Chemistry of Solid Surfaces, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, Department of Chemistry, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, P. R. China
  • Received:2025-08-15 Accepted:2025-09-08 Online:2025-10-01 Published:2025-09-26
  • Contact: WU Wei, E-mail: weiwu@xmu.edu.cn E-mail:weiwu@xmu.edu.cn
  • Supported by:
    This work was supported by the Fundamental Research Funds for the Central Universities, China (No. 20720220015) and the National Natural Science Foundation of China (Nos. 22373077, 22303070).

Abstract: We present a novel breathing orbital valence bond (BOVB) scheme, termed generalized BOVB (GBOVB), which constructs the wave function as a linear combination of valence bond self-consistent field (VBSCF) and its excited structures without requiring SCF orbital optimization. By applying different truncation levels to the excited configurations, multiple GBOVB variants are developed, offering flexible trade-offs between computational efficiency and accuracy. Benchmark tests reveal that GBOVB4 achieves the highest accuracy at a greater computational cost, while GBOVB4(D) provides the best balance between performance and efficiency. Notably, GBOVB overcomes convergence challenges of conventional BOVB methods when dealing with delocalized orbitals. Despite these advantages, limitations remain: excitations beyond double excitations may be important, and neglecting interactions between doubly excited structures in GBOVB4(D) can reduce accuracy, especially for systems with large active spaces.

Key words: Valence bond theory, Breathing orbital valence bond, Excited valence bond structure