1
|
Tran T, Segarra-Martí J, Bearpark MJ, Robb MA. Molecular Vertical Excitation Energies Studied with First-Order RASSCF (RAS[1,1]): Balancing Covalent and Ionic Excited States. J Phys Chem A 2019; 123:5223-5230. [PMID: 31150228 PMCID: PMC7007262 DOI: 10.1021/acs.jpca.9b03715] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023]
Abstract
![]()
RASSCF
calculations of vertical excitation energies were carried
out on a benchmark set of 19 organic molecules studied by Thiel and
co-workers [2008, 128, 13411018397056]. The best results, in comparison with the MS-CASPT2 results of
Thiel, were obtained using a RASSCF space that contains at most one
hole and one particle in the RAS1 and RAS3 spaces, respectively, which
we denote as RAS[1,1]. This subset of configurations recovers mainly
the effect of polarization and semi-internal electronic correlation
that is only included in CASSCF in an averaged way. Adding all-external
correlation by allowing double excitations from RAS1 and RAS2 into
RAS3 did not improve the results, and indeed, they were slightly worse.
The accuracy of the first-order RASSCF computations is demonstrated
to be a function of whether the state of interest can be classified
as covalent or ionic in the space of configurations built from orbitals
localized onto atomic sites. For covalent states, polarization and
semi-internal correlation effects are negligible (RAS[1,1]), while
for ionic states, these effects are large (because of inherent diffusiveness
of these states compared to the covalent states) and, thus, an acceptable
agreement with MS-CASPT2 can be obtained using first-order RASSCF
with the extra basis set involving 3p orbitals in most cases. However,
for those ionic states that are quasi-degenerate with a Rydberg state
or for nonlocal nπ* states, there remains a significant error
resulting from all external correlation effects.
Collapse
Affiliation(s)
- Thierry Tran
- Department of Chemistry, Molecular Sciences Research Hub , Imperial College London , White City Campus, 80 Wood Lane , London W12 0BZ , United Kingdom
| | - Javier Segarra-Martí
- Department of Chemistry, Molecular Sciences Research Hub , Imperial College London , White City Campus, 80 Wood Lane , London W12 0BZ , United Kingdom
| | - Michael J Bearpark
- Department of Chemistry, Molecular Sciences Research Hub , Imperial College London , White City Campus, 80 Wood Lane , London W12 0BZ , United Kingdom
| | - Michael A Robb
- Department of Chemistry, Molecular Sciences Research Hub , Imperial College London , White City Campus, 80 Wood Lane , London W12 0BZ , United Kingdom
| |
Collapse
|
2
|
Su P, Wu W. Ab initio
nonorthogonal valence bond methods. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2012. [DOI: 10.1002/wcms.1105] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]
|
3
|
Sax AF. Localization of molecular orbitals on fragments. J Comput Chem 2012; 33:1495-510. [PMID: 22522607 DOI: 10.1002/jcc.22980] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/26/2011] [Revised: 02/10/2012] [Accepted: 03/05/2012] [Indexed: 11/05/2022]
Abstract
A non-iterative algorithm for the localization of molecular orbitals (MOs) from complete active space self consistent field (CASSCF) and for single-determinantal wave functions on predefined moieties is given. The localized fragment orbitals can be used to analyze chemical reactions between fragments and also the binding of fragments in the product molecule with a fragments-in-molecules approach by using a valence bond expansion of the CASSCF wave function. The algorithm is an example of the orthogonal Procrustes problem, which is a matrix optimization problem using the singular value decomposition. It is based on the similarity of the set of MOs for the moieties to the localized MOs of the molecule; the similarity is expressed by overlap matrices between the original fragment MOs and the localized MOs. For CASSCF wave functions, localization is done independently in the space of occupied orbitals and active orbitals, whereas, the space of virtual orbitals is mostly uninteresting. Localization of Hartree-Fock or Kohn-Sham density functional theory orbitals is not straightforward; rather, it needs careful consideration, because in this case some virtual orbitals are needed but the space of virtual orbitals depends on the basis sets used and causes considerable problems due to the diffuse character of most virtual orbitals.
Collapse
|
4
|
Wu W, Su P, Shaik S, Hiberty PC. Classical Valence Bond Approach by Modern Methods. Chem Rev 2011; 111:7557-93. [DOI: 10.1021/cr100228r] [Citation(s) in RCA: 200] [Impact Index Per Article: 15.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
Affiliation(s)
- Wei Wu
- The State Key Laboratory of Physical Chemistry of Solid Surfaces, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
| | - Peifeng Su
- The State Key Laboratory of Physical Chemistry of Solid Surfaces, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
| | - Sason Shaik
- Institute of Chemistry and The Lise Meitner-Minerva Center for Computational Quantum Chemistry, The Hebrew University, Jerusalem 91904, Israel
| | - Philippe C. Hiberty
- Laboratoire de Chimie Physique, Groupe de Chimie Théorique, CNRS UMR 8000, Université de Paris-Sud, 91405 Orsay Cédex, France
| |
Collapse
|
5
|
Shaik S. Valence bond all the way: From the degenerate H-exchange to cytochrome P450. Phys Chem Chem Phys 2010; 12:8706-20. [DOI: 10.1039/c001372m] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
6
|
Hiberty PC, Shaik S. A survey of recent developments in ab initio valence bond theory. J Comput Chem 2006; 28:137-51. [PMID: 17061241 DOI: 10.1002/jcc.20478] [Citation(s) in RCA: 76] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
Abstract
Starting from the 1980s and onwards, Valence Bond theory has been enjoying renaissance that is characterized by the development of a growing number of ab initio methods, and by many applications to chemical reactivity and to the central paradigms of chemistry. Owing the increase of computational power of modern computers and to significant advances in the methodology, valence bond theory begins to offer a sound and attractive alternative to Molecular Orbital theory. This review aims at summarizing the most important developments of ab initio valence bond methods during the last two or three decades, and is primarily devoted to a description of what the various methods can actually achieve within their specific scopes and limitations. Key available softwares are surveyed.
Collapse
Affiliation(s)
- Philippe C Hiberty
- Laboratoire de Chimie Physique, Groupe de Chimie Théorique, Université de Paris-Sud, 91405 Orsay Cédex, France.
| | | |
Collapse
|
7
|
Resonating Valence-Bond theories for carbon π-networks and classical/quantum connections. ACTA ACUST UNITED AC 2002. [DOI: 10.1016/s1380-7323(02)80016-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
|
8
|
Guihéry N, Malrieu JP, Evangelisti S, Maynau D. Correlated description of multiple bonds using localized active orbitals. Chem Phys Lett 2001. [DOI: 10.1016/s0009-2614(01)01137-x] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
|
9
|
Advances in many-body valence-bond theory. ACTA ACUST UNITED AC 1999. [DOI: 10.1016/s1380-7323(99)80016-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
|
10
|
Bachler V, Metzler-Nolte N. The π-Electron-Accepting Ability of the Boron Atom in Ethynylboranes and Related Compounds – An Approximate Weight Computation for Resonance Structures⋆. Eur J Inorg Chem 1998. [DOI: 10.1002/(sici)1099-0682(199806)1998:6<733::aid-ejic733>3.0.co;2-5] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
|
11
|
Marcos ES, Pappalardo RR, Chiara J, Domene M, Martinez J, Parrondo RM. Role of geometrical relaxation in solution of simple molecules exhibiting anomeric effects. ACTA ACUST UNITED AC 1996. [DOI: 10.1016/s0166-1280(96)04748-3] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
|
12
|
Mödl M, Dolg M, Fulde P, Stoll H. Analysis of large‐scale multi‐configuration self‐consistent field wave functions by expectation values of local operators. J Chem Phys 1996. [DOI: 10.1063/1.472102] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
13
|
Karafiloglou P, Kapsomenos G. Simultaneous presence of two charges or two spins in a linear polyene. Theor Chem Acc 1994. [DOI: 10.1007/bf01113558] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
|
14
|
Clotet A, Ricart J, Rubio J, Illas F. The orthogonal valence bond interpretation of ab initio chemisorption cluster model wavefunctions. Chem Phys 1993. [DOI: 10.1016/0301-0104(93)80176-a] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
|
15
|
|
16
|
Illas F, Rubio J, Ricart J. The cluster model configuration interaction approach to the study of chemisorption on metal and semiconductor surfaces. ACTA ACUST UNITED AC 1993. [DOI: 10.1016/0166-1280(93)87219-4] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
|
17
|
Illas F, Lorda A, Rubio J, Torrance JB, Bagus PS. The nature of the chemical bond in simple oxides: A theoretical journey from the ionic model to the ab initio configuration interaction approach. J Chem Phys 1993. [DOI: 10.1063/1.465761] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
18
|
Maître P, Ohanessian G. Analysis of correlation consistent wavefunctions: H3XH bond energies (X=C, Si and Ge). Chem Phys 1992. [DOI: 10.1016/0301-0104(92)87158-6] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
|
19
|
|
20
|
Clotet A, Daudey J, Malrieu J, Rubio J, Spiegelmann F. The effect of dynamical correlation on the valence wavefunction of molecules: Dressed complete active space self-consistent field calculations. Chem Phys 1990. [DOI: 10.1016/0301-0104(90)85045-x] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
|
21
|
|
22
|
From highly delocalized to strongly correlated domains through a unique MO into VB exponential transformation. Chem Phys Lett 1989. [DOI: 10.1016/0009-2614(89)87390-7] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
|
23
|
Lepetit MB, Oujia B, Malrieu JP, Maynau D. From one-electron to correlated wave functions in extended systems: A valence-bond investigation. PHYSICAL REVIEW. A, GENERAL PHYSICS 1989; 39:3274-3288. [PMID: 9901628 DOI: 10.1103/physreva.39.3274] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
|
24
|
Oujia B, Lepetit MB, Maynau D, Malrieu JP. Simple generation of an approximate internally correlated wave function from the Hartree-Fock approximation and its valence-bond decomposition. PHYSICAL REVIEW. A, GENERAL PHYSICS 1989; 39:3289-3297. [PMID: 9901629 DOI: 10.1103/physreva.39.3289] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
|
25
|
An efficient calculation of the weights of non-orthogonal determinantal functions from the decomposition of MO wavefunctions. ACTA ACUST UNITED AC 1989. [DOI: 10.1016/0166-1280(89)85091-2] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
|
26
|
Lepetit MB, Malrieu JP, Pelissier M. Multiplicity of symmetry-broken Hartree-Fock solutions in multiple bonds and atomic clusters: An asymptotic view. PHYSICAL REVIEW. A, GENERAL PHYSICS 1989; 39:981-991. [PMID: 9901333 DOI: 10.1103/physreva.39.981] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
|
27
|
|
28
|
|
29
|
|
30
|
Karafiloglou P, Theodorakopoulos G, Petsalakis I. Valence bond analysis of molecular orbital wavefunctions: The ionicity of the B1σu+ state of H2. ACTA ACUST UNITED AC 1988. [DOI: 10.1016/0166-1280(88)80076-9] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
|
31
|
Neutral eigenstates of extended systems: Resonance of neutral VB structures or perturbation of (neel states) spin waves? ACTA ACUST UNITED AC 1988. [DOI: 10.1016/0166-1280(88)80278-1] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
|
32
|
|
33
|
Maynau D, Malrieu JP. Metallic vs chemical bonding: A valence bond analysis of small Lin clusters wave functions. J Chem Phys 1988. [DOI: 10.1063/1.453961] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
34
|
Illas F, Rubio J, Ricart JM. Dynamical and nondynamical correlation effects inabinitiochemisorption cluster model calculations. Ground and low lying states of H on Cu(100) and Ag(100). J Chem Phys 1988. [DOI: 10.1063/1.454758] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
35
|
Merchán M, Nebot‐Gil I, González‐Luque R, Ortí E. A CI study of the CuCO and CuCO+ complexes. J Chem Phys 1987. [DOI: 10.1063/1.453234] [Citation(s) in RCA: 41] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
36
|
Illas F, Merchan M, Pelissier M, Marlieuu̧ JP. Inexpensive determinations of valence virtual MOs for CI calculations. Chem Phys 1986. [DOI: 10.1016/0301-0104(86)85014-5] [Citation(s) in RCA: 58] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
|