Implementation of electronic ground states and singlet and triplet excitation energies in coupled cluster theory with approximate triples corrections

An implementation of triples corrections for the calculation of the electronic ground states and for singlet and triplet excitation energies within the CC3 model is discussed. At most objects of size V2O2 and V3O are kept in memory and on disc, respectively (V is the number of virtual orbital and O is the number of occupied orbitals). The used strategy means that more terms that scales as V4O3 has to be calculated than if the triples amplitudes are kept on disc but it allows larger cases to be handled. Sample calculations are presented for the triplet excitation energies of benzene.

[1]  J. Olsen,et al.  CC3 triplet excitation energies using an explicit spin coupled excitation space , 2001 .

[2]  J. Olsen,et al.  An analysis and implementation of a general coupled cluster approach to excitation energies with application to the B2 molecule , 2001 .

[3]  Martin Schütz,et al.  Low-order scaling local electron correlation methods. III. Linear scaling local perturbative triples correction (T) , 2000 .

[4]  P. Jørgensen,et al.  Triplet excitation energies in the coupled cluster singles and doubles model using an explicit triplet spin coupled excitation space , 2000 .

[5]  P. Jørgensen,et al.  The electronic spectrum of pyrrole , 1999 .

[6]  J. Gauss,et al.  Frequency-dependent polarizabilities and first hyperpolarizabilities of CO and H2O from coupled cluster calculations , 1999 .

[7]  J. Gauss,et al.  Analytic UHF-CCSD(T) second derivatives: implementation and application to the calculation of the vibration-rotation interaction constants of NCO and NCS , 1998 .

[8]  John F. Stanton,et al.  The effect of triple excitations in coupled cluster calculations of frequency-dependent polarizabilities , 1998 .

[9]  P. Jørgensen,et al.  THE ELECTRONIC SPECTRUM OF FURAN , 1998 .

[10]  Trygve Helgaker,et al.  The CC3 model: An iterative coupled cluster approach including connected triples , 1997 .

[11]  P. Jørgensen,et al.  Integral direct calculation of CC2 excitation energies: singlet excited states of benzene , 1996 .

[12]  P. Jørgensen,et al.  Large-scale calculations of excitation energies in coupled cluster theory: The singlet excited states of benzene , 1996 .

[13]  Martin J. Packer,et al.  A new implementation of the second‐order polarization propagator approximation (SOPPA): The excitation spectra of benzene and naphthalene , 1996 .

[14]  Trygve Helgaker,et al.  The molecular structure of ferrocene , 1996 .

[15]  John F. Stanton,et al.  Perturbative treatment of triple excitations in coupled‐cluster calculations of nuclear magnetic shielding constants , 1996 .

[16]  Ove Christiansen,et al.  Response functions in the CC3 iterative triple excitation model , 1995 .

[17]  B. Roos,et al.  A CASPT2 study of the valence and lowest Rydberg electronic states of benzene and phenol , 1995 .

[18]  David E. Woon,et al.  Gaussian basis sets for use in correlated molecular calculations. IV. Calculation of static electrical response properties , 1994 .

[19]  Jürgen Gauss,et al.  Coupled‐cluster methods with noniterative triple excitations for restricted open‐shell Hartree–Fock and other general single determinant reference functions. Energies and analytical gradients , 1993 .

[20]  Alistair P. Rendell,et al.  Analytic gradients for coupled-cluster energies that include noniterative connected triple excitations: Application to cis- and trans-HONO , 1991 .

[21]  Alistair P. Rendell,et al.  A parallel vectorized implementation of triple excitations in CCSD(T): application to the binding energies of the AlH3, AlH2F, AlHF2 and AlF3 dimers , 1991 .

[22]  M. Head‐Gordon,et al.  A fifth-order perturbation comparison of electron correlation theories , 1989 .

[23]  T. H. Dunning Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen , 1989 .

[24]  R. Bartlett,et al.  Towards a full CCSDT model for electron correlation. CCSDT-n models , 1987 .

[25]  S. J. Cole,et al.  Towards a full CCSDT model for electron correlation , 1985 .

[26]  R. Bartlett,et al.  A coupled cluster approach with triple excitations , 1984 .

[27]  J. P. Doering,et al.  Low‐Energy Electron‐Impact Study of the First, Second, and Third Triplet States of Benzene , 1969 .

[28]  Ove Christiansen,et al.  Electronic excitation energies of pyrimidine studied using coupled cluster response theory , 2001 .

[29]  M. Ratner Molecular electronic-structure theory , 2000 .

[30]  J. Gauss,et al.  Analytic first and second derivatives for the CCSDT-n (n = 1-3) models : a first step towards the efficient calculation of ccsdt properties , 2000 .

[31]  Poul Jørgensen,et al.  Response functions from Fourier component variational perturbation theory applied to a time-averaged quasienergy , 1998 .

[32]  Gustavo E. Scuseria,et al.  Analytic evaluation of energy gradients for the singles and doubles coupled cluster method including perturbative triple excitations: Theory and applications to FOOF and Cr2 , 1991 .