Selected Publications of Prof. Dr. Wenjian Liu

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Selected Publications of Prof. Dr. Wenjian Liu College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China 1 Fundamentals of relativistic molecular quantum mechanics 1. Handbook of Relativistic Quantum Chemistry, ed. W. Liu (Springer, Berlin, 2017). 2. W. Liu*, Big picture of relativistic molecular quantum mechanics, Nat. Sci. Rev. 3, 204 (2016). 3. R. Zhao, Y. Xiao, Y. Zhang, and W. Liu*, Exact two-component relativistic energy band theory and application, J. Chem. Phys. 144, 044105 (2016). 4. W. Liu, Effective quantum electrodynamics Hamiltonians: A tutorial review, Int. J. Quantum Chem. 115, 631 (2015); (E) 116, 971 (2016). 5. W. Liu*, Advances in relativistic molecular quantum mechanics, Phys. Rep. 537, 59 (2014). 6. W. Liu*, Perspective: Relativistic Hamiltonians, Int. J. Quantum Chem. 114, 983 (2014). 7. W. Liu* and I. Lindgren, Going beyond no-pair relativistic quantum chemistry, J. Chem. Phys. 139, 014108 (2013); (E) 144, 049901 (2016). 8. W. Liu*, Perspectives of relativistic quantum chemistry: The negative energy cat smiles, Phys. Chem. Chem. Phys. 14, 35 (2012). 9. W. Liu*, The big picture of relativistic molecular quantum mechanics, in Theory and Applications in Computational Chemistry: The First Decade of the Second Millenium, AIP Conf. Proc. 1456, 62 (2012). 10. W. Liu*, Ideas of relativistic quantum chemistry, Mol. Phys. 108, 1679 (2010). 11. Z. Li, Y. Xiao, and W. Liu*, On the spin separation of algebraic two-component relativistic Hamiltonians: Molecular Properties, J. Chem. Phys. 141, 054111 (2014). 12. Z. Li, Y. Xiao, and W. Liu*, On the spin separation of algebraic two-component relativistic Hamiltonians, J. Chem. Phys. 137, 154114 (2012). 13. W. Liu* and D. Peng, Exact two-component Hamiltonians revisited, J. Chem. Phys. 131, 031104 (2009). 14. D. Peng, J. Ma, and W. Liu*, On the construction of Kramers paired double group symmetry functions, Int. J. Quantum Chem. 109, 2149 (2009). 1

15. D. Peng, W. Liu*, Y. Xiao, and L. Cheng, Making four-and two-component relativistic density functional methods fully equivalent based on the idea of from atoms to molecule, J. Chem. Phys. 127, 104106 (2007). 16. W. Liu* and D. Peng, Infinite-order Quasirelativistic Density Functional Method Based on the Exact Matrix Quasirelativistic Theory, J. Chem. Phys. 125, 044102 (2006); (E) 125, 149901 (2006). 17. W. Kutzelnigg* and W. Liu*, Quasirelativistic Theory Equivalent to Fully Relativistic Theory, J. Chem. Phys. 123, 241102 (2005). 2 Relativistic/nonrelativistic wave functions 1. Y. Lei, W. Liu* and M. R. Hoffmann*, Further development of SDSPT2 for strongly correlated electrons, Mol. Phys. 115, 2696-2707 (2017). 2. C. Huang, W. Liu*, Y. Xiao, and M. R. Hoffmann, ivi: an iterative vector interaction method for large eigenvalue problems, J. Comput. Chem. 38, 2481-2499 (2017). 3. A. Grofe, X. Chen, W. Liu, and J. Gao*, Spin-multiplet components and energy splittings by multistate density functional theory, J. Phys. Chem. Lett. 8, 4838-4845 (2017). 4. P. Cassam-Chenaï*, B. Suo, and W. Liu*, A quantum chemical definition of electron-nucleus correlation, Theor. Chem. Acc. 136, 52 (2017). 5. H. Li, W. Liu*, and B. Suo, Localization of open-shell molecular orbitals via least change from fragments to molecule, J. Chem. Phys. 146, 104104 (2017). 6. Z. Cao, Z. Li*, F. Wang*, and W. Liu*, Combining the spin-separated exact two-component relativistic Hamiltonian with the equation-of-motion coupled-cluster method for the treatment of spincorbit splittings of light and heavy elements, Phys. Chem. Chem. Phys. 19, 3713 (2017). 7. W. Liu* and M. R. Hoffmann*, ici: Iterative CI toward full CI, J. Chem. Theory Comput. 12, 1169 (2016); (E) 12, 3000 (2016). 8. P. Cassam-Chenaï*, B. Suo*, and W. Liu*, Decoupling electrons and nuclei without the Born- Oppenheimer approximation: The electron-nucleus mean-field configuration-interaction method, Phys. Rev. A 92, 012502 (2015). 9. Z. Li, H. Li, B. Suo, and W. Liu*, Localization of molecular orbitals: From fragments to molecule, Acc. Chem. Res. 47, 2758 (2014). 10. W. Liu* and M. R. Hoffmann*, SDS: The static-dynamic-static framework for strongly correlated electrons, Theor. Chem. Acc. 133, 1481 (2014). 11. Z. Li, S. Shao, and W. Liu*, Relativistic explicit correlation: Coalescence conditions and practical suggestions, J. Chem. Phys. 136, 144117 (2012). 12. S. Mao, L. Cheng, W. Liu, and D. Mukherjee, A spin-adapted size-extensive state-specific multi-reference perturbation theory (I): Formal developments, J. Chem. Phys. 136, 024105 (2012). 2

13. S. Mao, L. Cheng, W. Liu, and D. Mukherjee, A spin-adapted size-extensive state-specific multireference perturbation theory with various partitioning schemes. II. Molecular applications, J. Chem. Phys. 136, 024106 (2012). 3 Relativistic properties 1. Y. Xiao, Y. Zhang, and W. Liu*, Relativistic theory of nuclear spin-rotation tensor with kinetically balanced rotational London orbitals, J. Chem. Phys. 141, 164110 (2014). 2. Y. Xiao, Y. Zhang, and W. Liu*, New experimental NMR shielding scales mapped relativistically from NSR: Theory and application, J. Chem. Theory Comput. 10, 600 (2014). 3. Y. Xiao and W. Liu*, Body-fixed relativistic molecular Hamiltonian and its application to nuclear spin-rotation tensor: Linear molecules, J. Chem. Phys. 139, 034113 (2013). 4. Y. Xiao and W. Liu*, Body-fixed relativistic molecular Hamiltonian and its application to nuclear spin-rotation tensor, J. Chem. Phys. 138, 134104 (2013). 5. Q. Sun, Y. Xiao, and W. Liu*, Exact two-component relativistic theory for NMR parameters: General formulation and pilot application, J. Chem. Phys. 137, 174105 (2012). 6. Y. Xiao, Q. Sun, and W. Liu*, Fully relativistic theories and methods for NMR parameters, Theor. Chem. Acc. 131, 1080 (2012). 7. L. Cheng, Y. Xiao, and W. Liu*, Four-component relativistic theory for nuclear magnetic shielding: Magnetically balanced gauge-including atomic orbitals, J. Chem. Phys. 131, 244113 (2009). 8. Q. Sun, W. Liu*, Y. Xiao, and L. Cheng, Exact two-component relativistic theory for nuclear magnetic resonance parameters, J. Chem. Phys. 131, 081101 (2009). 9. W. Kutzelnigg* and W. Liu*, Relativistic theory of nuclear magnetic resonance parameters in a Gaussian basis representation, J. Chem. Phys. 131, 044129 (2009). 10. L. Cheng, Y. Xiao, and W. Liu*, Four-component relativistic theory for NMR parameters: Unified formulation and numerical assessment of different approaches, J. Chem. Phys. 130, 144102 (2009); (E) 131, 1 (2009). 11. Y. Xiao, W. Liu*, L. Cheng, and D. Peng, Four-component relativistic theory for nuclear magnetic shielding constants: Critical assessments of different approaches, J. Chem. Phys. 126, 214101 (2007). 12. Y. Xiao, D. Peng, and W. Liu*, Four-component relativistic theory for nuclear magnetic shielding constants: The orbital decomposition approach, J. Chem. Phys. 126, 081101 (2007). 4 Time-dependent density functional theory 1. W. Liu* and Y. Xiao, Relativistic time-dependent density functional theories, Chem. Soc. Rev. 47, 4481-4509 (2018). 3

2. B. Suo*, K. Shen, Z. Li, and W. Liu*, Performance of TD-DFT for excited states of open-shell transition metal compounds, J. Phys. Chem. A 121, 3929-3942 (2017). 3. Z. Li* and W. Liu*, Critical assessment of TD-DFT for excited states of open-shell systems: I. Doublet-quartet transitions, J. Chem. Theory Comput. 12, 2517-2527 (2016). 4. Z. Li* and W. Liu*, Critical assessment of TD-DFT for excited states of open-shell systems: I. Doublet-doublet transitions, J. Chem. Theory Comput. 12, 238-260 (2016). 5. Z. Li, B. Suo, and W. Liu*, First order nonadiabatic coupling matrix elements between excited states: Implementation and application at the TD-DFT and pp-tda levels, J. Chem. Phys. 141, 244105 (2014). 6. Z. Li and W. Liu*, First-order nonadiabatic coupling matrix elements between excited states: A Lagrangian formulation at the CIS, RPA, TD-HF, and TD-DFT levels, J. Chem. Phys. 141, 014110 (2014). 7. J. Liu, Y. Zhang, and W. Liu*, Photoexcitation of Light-Harvesting C-P-C 60 Triads: A FLMO- TD-DFT Study, J. Chem. Theory Comput. 10, 2436 (2014). 8. Z. Li, B. Suo, Y. Zhang, Y. Xiao, and W. Liu*, Combining spin-adapted open-shell TD-DFT with spin-orbit coupling, Mol. Phys. 111, 3741 (2013). 9. Z. Li and W. Liu*, Theoretical and numerical assessments of spin-flip time-dependent density functional theory, J. Chem. Phys. 136, 024107 (2012). 10. Z. Li and W. Liu*, Spin-adapted open-shell time-dependent density functional theory. III. An even better and simpler formulation, J. Chem. Phys. 135, 194106 (2011). 11. Z. Li, W. Liu*, Y. Zhang, and B. Suo, Spin-adapted open-shell time-dependent density functional theory. II. Theory and pilot application, J. Chem. Phys. 134, 134101 (2011). 12. Z. Li and W. Liu*, Spin-adapted open-shell random phase approximation and time-dependent density functional theory. I. Theory, J. Chem. Phys. 133, 064106 (2010). 13. F. Wu, W. Liu*, Y. Zhang, and Z. Li, Linear scaling time-dependent density functional theory based on the idea of from fragments to molecule, J. Chem. Theor. Comput. 7, 3643 (2011). 14. D. Peng, W. Zou, and W. Liu*, Time-dependent Quasirelativistic Density Functional Theory Based on the Zeroth-order Regular Approximation, J. Chem. Phys. 123, 144101 (2005). 15. J. Gao, W. Zou, W. Liu*, Y. Xiao, D. Peng, B. Song, and C. Liu, Time-dependent Fourcomponent Relativistic Density-Functional Theory for Excitation Energies. II. The Exchangecorrelation Kernel, J. Chem. Phys. 123, 054102 (2005). 16. J. Gao, W. Liu*, B. Song, and C. Liu, Time-dependent Four-component Relativistic Density Functional Theory for Excitation Energies, J. Chem. Phys. 121, 6658 (2004). 5 Algorithms for large eigenvalue problems 1. C. Huang, W. Liu*, Y. Xiao, and M. R. Hoffmann, ivi: an iterative vector interaction method for large eigenvalue problems, J. Comput. Chem. 38, 2481-2499 (2017); (E) 39, 338 (2018). 4

6 The BDF package 1. W. Liu*, F. Wang, and L. Li, The Beijing Density Functional (BDF) Program Package: Methodologies and Applications, J. Theor. Comput. Chem. 2, 257 (2003). 2. W. Liu*, G. Hong, D. Dai, L. Li, and M. Dolg, The Beijing 4-component density functional program package (BDF) and its application to EuO, EuS, YbO, and YbS, Theor. Chem. Acc. 96, 75 (1997). 5