0000000000075904

AUTHOR

Eric Prochnow

showing 5 related works from this author

Analytic gradients for Mukherjee’s multireference coupled-cluster method using two-configurational self-consistent-field orbitals

2010

Analytic gradients for the state-specific multireference coupled-cluster method suggested by Mahapatra et al. [Mol. Phys. 94, 157 (1998)] (Mk-MRCC) are reported within the singles and doubles approximation using two-configurational self-consistent field (TCSCF) orbitals. The present implementation extends our previous work on Mk-MRCC gradients [E. Prochnow et al., J. Chem. Phys. 131, 064109 (2009)] which is based on restricted Hartree-Fock orbitals and consequently the main focus of the present paper is on the treatment of orbital relaxation at the TCSCF level using coupled-perturbed TCSCF theory. Geometry optimizations on m-arynes and nitrenes are presented to illustrate the influence of t…

Coupled clusterLinear combination of atomic orbitalsChemistryQuantum mechanicsRestricted open-shell Hartree–FockGeneral Physics and AstronomyMolecular orbital theoryMolecular orbitalComplete active spacePhysical and Theoretical ChemistrySlater-type orbitalBasis setThe Journal of Chemical Physics
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Analytic gradients for the state-specific multireference coupled cluster singles and doubles model.

2009

The general theory of analytic energy gradients is presented for the state-specific multireference coupled cluster method introduced by Mukherjee and co-workers [Mol. Phys. 94, 157 (1998)], together with an implementation within the singles and doubles approximation, restricted to two closed-shell determinants and Hartree-Fock orbitals. Expressions for the energy gradient are derived based on a Lagrangian formalism and cast in a density-matrix notation suitable for implementation in standard quantum-chemical program packages. In the present implementation, we exploit a decomposition of the multireference coupled cluster gradient expressions, i.e., lambda equations and the corresponding dens…

PhysicsEnergy gradientCoupled clusterGeneral theoryAtomic orbitalQuantum mechanicsGeneral Physics and AstronomyPhysical and Theoretical ChemistryLambdaNotationScalingState specificMathematical physicsThe Journal of chemical physics
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Quantitative prediction of gas-phase N15 and P31 nuclear magnetic shielding constants

2010

High-level ab initio benchmark calculations of the (15)N and (31)P NMR chemical shielding constants for a representative set of molecules are presented. The computations have been carried out at the Hartree-Fock self-consistent field (HF-SCF), density functional theory (DFT) (B-P86 and B3-LYP), second-order Moller-Plesset perturbation theory (MP2), coupled cluster singles and doubles (CCSD), and CCSD augmented by a perturbative treatment of triple excitations [CCSD(T)] level of theory using basis sets of triple zeta quality or better. The influence of the geometry, the treatment of electron correlation, as well as basis set and zero-point vibrational effects on the shielding constants are d…

Electronic correlationField (physics)ChemistryAb initioGeneral Physics and AstronomyCoupled clusterAb initio quantum chemistry methodsElectromagnetic shieldingPhysics::Atomic and Molecular ClustersDensity functional theoryPhysics::Chemical PhysicsPhysical and Theoretical ChemistryAtomic physicsBasis setThe Journal of Chemical Physics
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Parallel Calculation of CCSDT and Mk-MRCCSDT Energies.

2010

A scheme for the parallel calculation of energies at the coupled-cluster singles, doubles, and triples (CCSDT) level of theory, several approximate iterative CCSDT schemes (CCSDT-1a, CCSDT-1b, CCSDT-2, CCSDT-3, and CC3), and for the state-specific multireference coupled-cluster ansatz suggested by Mukherjee with a full treatment of triple excitations (Mk-MRCCSDT) is presented. The proposed scheme is based on the adaptation of a highly efficient serial coupled-cluster code leading to a communication-minimized implementation by parallelizing the time-determining steps. The parallel algorithm is tailored for affordable cluster architectures connected by standard communication networks such as …

Theoretical computer scienceBasis (linear algebra)Computer scienceComputationGigabit EthernetCode (cryptography)Parallel algorithmBenchmark (computing)Basis functionPhysical and Theoretical ChemistryComputer Science ApplicationsComputational scienceAnsatzJournal of chemical theory and computation
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Perturbative triples corrections in state-specific multireference coupled cluster theory

2010

We formulated and implemented a perturbative triples correction for the state-specific multireference coupled cluster approach with singles and doubles suggested by Mukherjee and co-workers, Mk-MRCCSD [Mol. Phys. 94, 157 (1998)]. Our derivation of the energy correction [Mk-MRCCSD(T)] is based on a constrained search for stationary points of the Mk-MRCC energy functional together with a perturbative expansion with respect to the appearing triples cluster operator. The Lambda-Mk-MRCCSD(T) approach derived in this way consists in (1) a correction to the off-diagonal matrix elements of the effective Hamiltonian which is unique to coupled cluster methods based on the Jeziorski-Monkhorst ansatz, …

PhysicsDiagonalGeneral Physics and Astronomysymbols.namesakeCoupled clusterQuantum electrodynamicsLagrange multipliersymbolsPerturbation theory (quantum mechanics)Physical and Theoretical ChemistryHamiltonian (quantum mechanics)Wave functionMathematical physicsEnergy functionalAnsatzThe Journal of Chemical Physics
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