Orbital-Optimized Distinguishable Cluster Theory with Explicit Correlation.

A combination of orbital-optimized methods with explicit correlation is discussed for the example of the orbital-optimized distinguishable cluster approach. It is shown that the perturbative approach is applicable even in strongly correlated situations, and it is important in these cases to use Lagrange multipliers together with the amplitudes. The partial amplitude relaxation can be applied to relax the amplitudes and makes absolute energies closer to complete basis set results.

[1]  Uğur Bozkaya,et al.  Orbital-optimized coupled-electron pair theory and its analytic gradients: accurate equilibrium geometries, harmonic vibrational frequencies, and hydrogen transfer reactions. , 2013, The Journal of chemical physics.

[2]  Christof Hättig,et al.  Explicitly correlated electrons in molecules. , 2012, Chemical reviews.

[3]  Thomas M Henderson,et al.  Seniority-based coupled cluster theory. , 2014, The Journal of chemical physics.

[4]  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 .

[5]  D. Tew,et al.  Explicitly correlated coupled-cluster theory using cusp conditions. I. Perturbation analysis of coupled-cluster singles and doubles (CCSD-F12). , 2010, The Journal of chemical physics.

[6]  S. Grimme Improved second-order Møller–Plesset perturbation theory by separate scaling of parallel- and antiparallel-spin pair correlation energies , 2003 .

[7]  D. Tew,et al.  Communications: Accurate and efficient approximations to explicitly correlated coupled-cluster singles and doubles, CCSD-F12. , 2010, The Journal of chemical physics.

[8]  Toru Shiozaki,et al.  Explicitly correlated multireference configuration interaction: MRCI-F12. , 2011, The Journal of chemical physics.

[9]  F. Neese,et al.  Accurate thermochemistry from a parameterized coupled-cluster singles and doubles model and a local pair natural orbital based implementation for applications to larger systems. , 2012, The Journal of chemical physics.

[10]  Daniel Kats,et al.  Accurate thermochemistry from explicitly correlated distinguishable cluster approximation. , 2015, The Journal of chemical physics.

[11]  D. Tew,et al.  New correlation factors for explicitly correlated electronic wave functions. , 2005, The Journal of chemical physics.

[12]  David P Tew,et al.  Explicitly correlated coupled-cluster theory with Brueckner orbitals. , 2016, The Journal of chemical physics.

[13]  Edward F. Valeev,et al.  Simple coupled-cluster singles and doubles method with perturbative inclusion of triples and explicitly correlated geminals: The CCSD(T)R12 model. , 2008, The Journal of chemical physics.

[14]  Patrick Bultinck,et al.  Projected seniority-two orbital optimization of the antisymmetric product of one-reference orbital geminal. , 2014, The Journal of chemical physics.

[15]  Hans-Joachim Werner,et al.  A simple and efficient CCSD(T)-F12 approximation. , 2007, The Journal of chemical physics.

[16]  Hans-Joachim Werner,et al.  Simplified CCSD(T)-F12 methods: theory and benchmarks. , 2009, The Journal of chemical physics.

[17]  Daniel Kats,et al.  Communication: The distinguishable cluster approximation. , 2013, The Journal of chemical physics.

[18]  Manoj K. Kesharwani,et al.  Do CCSD and approximate CCSD-F12 variants converge to the same basis set limits? The case of atomization energies. , 2018, The Journal of chemical physics.

[19]  R. Bartlett,et al.  A full coupled‐cluster singles and doubles model: The inclusion of disconnected triples , 1982 .

[20]  D. Thouless Stability conditions and nuclear rotations in the Hartree-Fock theory , 1960 .

[21]  Trygve Helgaker,et al.  Basis-set convergence of correlated calculations on water , 1997 .

[22]  Alexander Yu Sokolov,et al.  Density cumulant functional theory from a unitary transformation: N-representability, three-particle correlation effects, and application to O4(+). , 2014, The Journal of chemical physics.

[23]  Daniel Kats,et al.  Communication: The distinguishable cluster approximation. II. The role of orbital relaxation. , 2014, The Journal of chemical physics.

[24]  Daniel Kats,et al.  The distinguishable cluster approach from a screened Coulomb formalism. , 2016, The Journal of chemical physics.

[25]  Andrew G. Taube,et al.  Rethinking linearized coupled-cluster theory. , 2009, The Journal of chemical physics.

[26]  A. Hesselmann,et al.  The role of orbital transformations in coupled-pair functionals , 2010 .

[27]  Seiichiro Ten-no,et al.  Explicitly correlated wave functions: summary and perspective , 2012, Theoretical Chemistry Accounts.

[28]  G. Scuseria,et al.  The optimization of molecular orbitals for coupled cluster wavefunctions , 1987 .

[29]  Peter J Knowles,et al.  Quasi-variational coupled cluster theory. , 2012, The Journal of chemical physics.

[30]  Uğur Bozkaya,et al.  Quadratically convergent algorithm for orbital optimization in the orbital-optimized coupled-cluster doubles method and in orbital-optimized second-order Møller-Plesset perturbation theory. , 2011, The Journal of chemical physics.

[31]  D. Tew,et al.  Relaxing Constrained Amplitudes: Improved F12 Treatments of Orbital Optimization and Core-Valence Correlation Energies. , 2018, Journal of chemical theory and computation.

[32]  Daniel Kats,et al.  Improving the distinguishable cluster results: spin-component scaling , 2018 .

[33]  Edward F. Valeev,et al.  Explicitly correlated R12/F12 methods for electronic structure. , 2012, Chemical reviews.