Unitary group based open-shell coupled cluster theory: Application to van der Waals interactions of high-spin systems

The performance of the unitary group approach (UGA) based coupled cluster singles and doubles (CCSD) method in application to van der Waals interactions involving high-spin open-shell systems is examined. The tested approach is fully spin-adapted in the sense that any intermediate quantity appearing in the formulation of the theory is free from spin contamination contributions. Interaction energies are computed within the supermolecular approach and corrected for the basis set superposition error. Several methods of solving UGA CCSD equations are used with the emphasis on iterative processes based on the Hamiltonian partitionings employed in the spin-restricted many-body perturbation theories. Test calculations are performed for the ground states of HeLi, H2Li, and for the excited a 3Σu+ state of Li2. The UGA CCSD interaction energies are compared with those computed using the spin-unrestricted and valence universal coupled cluster methods, spin-restricted and spin-unrestricted many-body perturbation expa...

[1]  Sl,et al.  Ab initio calculations of the interaction of He with the B 3Π0u+ state of Cl2 as a function of the Cl2 internuclear separation , 1997 .

[2]  J. Gauss,et al.  Spin-restricted open-shell coupled-cluster theory , 1997 .

[3]  D R Yarkony,et al.  Modern electronic structure theory , 1995 .

[4]  U. Kaldor The open‐shell coupled‐cluster method: Excitation energies and ionization potentials of H2O , 1987 .

[5]  Ernest R. Davidson,et al.  Different forms of perturbation theory for the calculation of the correlation energy , 1992 .

[6]  J. Cizek On the Correlation Problem in Atomic and Molecular Systems. Calculation of Wavefunction Components in Ursell-Type Expansion Using Quantum-Field Theoretical Methods , 1966 .

[7]  Hideki Tanaka,et al.  REARRANGEMENT DYNAMICS OF THE HYDROGEN-BONDED NETWORK OF CLATHRATE HYDRATES ENCAGING POLAR GUEST , 1996 .

[8]  R. Bartlett,et al.  Recursive intermediate factorization and complete computational linearization of the coupled-cluster single, double, triple, and quadruple excitation equations , 1991 .

[9]  Rodney J. Bartlett,et al.  Hilbert space multireference coupled-cluster methods. I: The single and double excitation model , 1991 .

[10]  J. Paldus,et al.  Unitary group approach to spin‐adapted open‐shell coupled cluster theory , 1995 .

[11]  Rodney J. Bartlett,et al.  An open-shell spin-restricted coupled cluster method: application to ionization potentials in nitrogen , 1988 .

[12]  K. Szalewicz,et al.  Comment on “On the importance of the fragment relaxation energy terms in the estimation of the basis set superposition error correction to the intermolecular interaction energy” [J. Chem. Phys. 104, 8821 (1996)] , 1998 .

[13]  Computation of ionization potentials using the unitary group based open-shell coupled-cluster theory , 1994 .

[14]  J. Paldus,et al.  Calculation of static molecular properties in the framework of the unitary group based coupled cluster approach , 1996 .

[15]  Hans-Joachim Werner,et al.  Coupled cluster theory for high spin, open shell reference wave functions , 1993 .

[16]  H. Monkhorst,et al.  Coupled-cluster method for multideterminantal reference states , 1981 .

[17]  D. Mukherjee,et al.  Application of cluster expansion techniques to open shells: Calculation of difference energies , 1984 .

[18]  M. Szczęśniak,et al.  Origins of Structure and Energetics of van der Waals Clusters from ab Initio Calculations , 1994 .

[19]  Josef Paldus,et al.  Automation of the implementation of spin‐adapted open‐shell coupled‐cluster theories relying on the unitary group formalism , 1994 .

[20]  R. Field,et al.  The bound and quasibound levels of 6Li2 a 3Σ+u , 1985 .

[21]  P. Piecuch,et al.  A study of 1A1-3B1 separation in CH2 using orthogonally spin-adapted state-universal and state-specific coupled-cluster methods , 1994 .

[22]  J. Paldus,et al.  Valence universal exponential ansatz and the cluster structure of multireference configuration interaction wave function , 1989 .

[23]  R. Bartlett,et al.  Multireference coupled‐cluster method: Ionization potentials and excitation energies for ketene and diazomethane , 1989 .

[24]  Robert Moszynski,et al.  Perturbation Theory Approach to Intermolecular Potential Energy Surfaces of van der Waals Complexes , 1994 .

[25]  Josef Paldus,et al.  A Critical Assessment of Coupled Cluster Method in Quantum Chemistry , 2007 .

[26]  G. Diercksen,et al.  Methods in Computational Molecular Physics , 1983 .

[27]  T. H. Dunning Gaussian Basis Functions for Use in Molecular Calculations. III. Contraction of (10s6p) Atomic Basis Sets for the First‐Row Atoms , 1970 .

[28]  Gulzari Malli,et al.  Relativistic and electron correlation effects in molecules and solids , 1994 .

[29]  R. Bukowski,et al.  Ab initio study of the van der Waals interaction of NH(X 3Σ−) with Ar(1S) , 1998 .

[30]  H. B. Jansen,et al.  Non-empirical molecular orbital calculations on the protonation of carbon monoxide , 1969 .

[31]  P. Taylor,et al.  A full CI treatment of the 1A1-3B1 separation in methylene , 1986 .

[32]  Maciej Gutowski,et al.  Weak interactions between small systems. Models for studying the nature of intermolecular forces and challenging problems for ab initio calculations , 1988 .

[33]  Raymond J. Seeger,et al.  Lectures in Theoretical Physics , 1962 .

[34]  J. Paldus,et al.  A unitary group based open‐shell coupled cluster study of vibrational frequencies in ground and excited states of first row diatomics , 1996 .

[35]  J. Paldus,et al.  Clifford algebra and unitary group formulations of the many-electron problem , 1988 .

[36]  Fock space multi-reference coupled cluster study of transition moment and oscillator strength , 1995 .

[37]  Dylan Jayatilaka,et al.  Open-shell coupled-cluster theory , 1993 .

[38]  J. Paldus,et al.  Unitary group based state specific open-shell-singlet coupled-cluster method: Application to ozone and comparison with Hilbert and Fock space theories , 1995 .

[39]  H. Monkhorst,et al.  Recursive scheme for order-by-order many-body perturbation theory , 1981 .

[40]  Josef Paldus,et al.  Orthogonally spin‐adapted state‐universal coupled‐cluster formalism: Implementation of the complete two‐reference theory including cubic and quartic coupling terms , 1994 .

[41]  U. Kaldor,et al.  Many-Body Methods in Quantum Chemistry , 1989 .

[42]  P. Piecuch,et al.  Solving the single‐reference coupled‐cluster equations involving highly excited clusters in quasidegenerate situations , 1994 .

[43]  Donald G. Truhlar,et al.  Potential energy surfaces of NaFH , 1998 .

[44]  Curtis L. Janssen,et al.  The automated solution of second quantization equations with applications to the coupled cluster approach , 1991 .

[45]  J. Paldus,et al.  Unitary group based open‐shell coupled cluster approach and triplet and open‐shell singlet stabilities of Hartree–Fock references , 1995 .

[46]  F. Coester,et al.  Short-range correlations in nuclear wave functions , 1960 .

[47]  Ivan Hubač,et al.  Spin adapted restricted Hartree–Fock reference coupled cluster theory for open shell systems , 1994 .

[48]  Ingvar Lindgren,et al.  Atomic Many-Body Theory , 1982 .

[49]  Rodney J. Bartlett,et al.  GENERAL SPIN ADAPTATION OF OPEN-SHELL COUPLED CLUSTER THEORY , 1996 .

[50]  J. Paldus,et al.  Unitary group based state‐selective coupled‐cluster method: Comparison of the first order interacting space and the full single and double excitation space approximations , 1995 .

[51]  R. Gerber,et al.  Electronic excitation dynamics of Li(H2)2: Dissociation mechanisms, lifetimes, and the validity of a hybrid quantum/classical approach , 1995 .

[52]  F. Jensen A remarkable large effect of spin contamination on calculated vibrational frequencies , 1990 .

[53]  R. Offermann Degenerate many fermion theory in expS form: (II). Comparison with perturbation theory☆ , 1976 .

[54]  Comparison of the open‐shell state‐universal and state‐selective coupled‐cluster theories: H4 and H8 models , 1995 .

[55]  R. Bartlett,et al.  The description of N2 and F2 potential energy surfaces using multireference coupled cluster theory , 1987 .

[56]  Nicholas C. Handy,et al.  Comparison and assessment of different forms of open shell perturbation theory , 1992 .

[57]  P. Löwdin,et al.  New Horizons of Quantum Chemistry , 1983 .

[58]  P. Schleyer Encyclopedia of computational chemistry , 1998 .

[59]  B. Gruber Symmetries in science VI : from the rotation group to quantum algebras , 1993 .

[60]  Josef Paldus,et al.  Spin‐adapted multireference coupled‐cluster approach: Linear approximation for two closed‐shell‐type reference configurations , 1988 .

[61]  U. Kaldor,et al.  Degeneracy breaking in the Hilbert‐space coupled cluster method , 1993 .

[62]  J. Paldus,et al.  Unitary‐group‐based open‐shell coupled‐cluster method with corrections for connected triexcited clusters. I. Theory , 1998 .

[63]  L. Wharton,et al.  Absolute Total Scattering Cross Sections for 7Li on He, Ne, Kr, and Xe , 1972 .

[64]  R. Bartlett,et al.  A multireference coupled‐cluster method for special classes of incomplete model spaces , 1989 .