0000000000143441

AUTHOR

Alexander A. Auer

showing 8 related works from this author

Quantitative prediction of gas-phase F19 nuclear magnetic shielding constants

2008

Benchmark calculations of (19)F nuclear magnetic shielding constants are presented for a set of 28 molecules. Near-quantitative accuracy (ca. 2 ppm deviation from experiment) is achieved if (1) electron correlation is adequately treated by employing the coupled-cluster singles and doubles (CCSD) model augmented by a perturbative correction for triple excitations [CCSD(T)], (2) large (uncontracted) basis sets are used, (3) gauge-including atomic orbitals are used to ensure gauge-origin independence, (4) calculations are performed at accurate equilibrium geometries [obtained from CCSD(T)/cc-pVTZ calculations correlating all electrons], and (5) vibrational averaging and temperature corrections…

Electronic correlationChemistryGeneral Physics and AstronomyElectronStandard deviationAtomic orbitalElectromagnetic shieldingPhysics::Atomic and Molecular ClustersDensity functional theoryPerturbation theory (quantum mechanics)Physics::Chemical PhysicsPhysical and Theoretical ChemistryAtomic physicsIndependence (probability theory)The Journal of Chemical Physics
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Accurate molecular geometries of the protonated water dimer

2000

The equilibrium geometry of the protonated water dimer, H5O2+, was studied using Moller–Plesset perturbation theory and coupled-cluster theory. Constrained geometry optimizations were carried out for the C2 and Cs symmetric structures within the counterpoise framework and near the limit of a complete basis set. In the constrained optimization, the degrees of freedom of the complex are reduced to an intrafragmental distortion and an interfragmental coordinate, making the procedure tractable for large basis sets and explicitly correlated linear r12 methods. The energy of the stationary point of C2 symmetry was found to be 1.2 kJ mol−1 below the energy of the Cs structure.

Water dimerBasis (linear algebra)Ab initio quantum chemistry methodsComputational chemistryChemistryDegrees of freedom (physics and chemistry)General Physics and AstronomyCounterpoiseInteraction energyPhysical and Theoretical ChemistryPerturbation theoryMolecular physicsBasis setPhysical Chemistry 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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Orbital instabilities and spin-symmetry breaking in coupled-cluster calculations of indirect nuclear spin–spin coupling constants

2009

Abstract The effect of orbital instabilities is investigated for spin-symmetry breaking perturbations, namely the Fermi-contact (FC) and spin–dipole (SD) contributions to the indirect nuclear spin–spin coupling constants. For the CO and N 2 molecules the FC and SD contributions have been calculated and orbital-stability analyses for various interatomic distances have been carried out. This includes calculations at the Hartree–Fock self-consistent field (HF-SCF), coupled-cluster (CC) singles and doubles (CCSD), CC3, CCSD(T), CCSDT-4, CC singles, doubles, and triples (CCSDT) levels, and for the first time also at the CC singles, doubles, triples, and quadruples (CCSDTQ) level of theory. For c…

Coupling constantCoupled clusterAtomic orbitalCondensed matter physicsChemistryGeneral Physics and AstronomyPerturbation (astronomy)MoleculeSpin symmetryPhysical and Theoretical ChemistryAtomic physicsSpin (physics)InstabilityChemical Physics
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Basis-set completeness profiles in two dimensions

2002

A two-electron basis-set completeness profile is proposed by analogy with the one-electron profile introduced by D. P. Chong (Can J Chem 1995, 73, 79). It is defined as Y(alpha, beta) = sigmam sigman (Galpha(1)Gbeta(2)/(1/r12)/ psim(1)psin(2)) (psim(1)psin(2)/r12/Galpha(1)Gp(2)) and motivated by the expression for the basis-set truncation correction that occurs in the framework of explicitly correlated methods (Galpha is a scanning Gaussian-type orbital of exponent alpha and [psim] is the orthonormalized one-electron basis under study). The two-electron basis-set profiles provide a visual assessment of the suitability of basis sets to describe electron-correlation effects. Furthermore, they…

Discrete mathematicsComputational MathematicsAngular momentumBasis (linear algebra)TruncationCompleteness (order theory)ExponentGeneral ChemistryExpression (computer science)Linear subspaceBasis setMathematicsJournal of Computational Chemistry
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Full configuration-interaction and coupled-cluster calculations of the indirect spin–spin coupling constant of BH

2003

Abstract Full configuration-interaction calculations of the indirect spin–spin coupling constant of the BH molecule have been carried out in order to investigate the performance of various coupled-cluster (CC) methods in the treatment of electron-correlation effects, while the corresponding basis set convergence is analyzed in CC singles and doubles calculations. Assuming additivity of correlation and basis set effects, a theoretical estimate of 50.67 Hz is obtained for the 11 B 1 H spin–spin coupling constant.

Coupling constantCoupled clusterChemistryAb initio quantum chemistry methodsComputational chemistryGeneral Physics and AstronomyPhysical and Theoretical ChemistryConfiguration interactionSpin (physics)Molecular physicsDiatomic moleculeFull configuration interactionBasis setChemical Physics Letters
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Parallel Calculation of CCSD and CCSD(T) Analytic First and Second Derivatives.

2007

In this paper we present a parallel adaptation of a highly efficient coupled-cluster algorithm for calculating coupled-cluster singles and doubles (CCSD) and coupled-cluster singles and doubles augmented by a perturbative treatment of triple excitations (CCSD(T)) energies, gradients, and, for the first time, analytic second derivatives. A minimal-effort strategy is outlined that leads to an amplitude-replicated, communication-minimized implementation by parallelizing the time-determining steps for CCSD and CCSD(T). The resulting algorithm is aimed at affordable cluster architectures consisting of compute nodes with sufficient memory and local disk space and that are connected by standard co…

PhysicsBasis (linear algebra)Chemical shiftGigabit EthernetBasis functionParallel computingComputer Science ApplicationsComputational physicsPhysics::Atomic and Molecular ClustersCluster (physics)Benchmark (computing)Limit (mathematics)Physics::Chemical PhysicsPhysical and Theoretical ChemistrySecond derivativeJournal of chemical theory and computation
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DLPNO-MP2 second derivatives for the computation of polarizabilities and NMR shieldings

2021

We present a derivation and efficient implementation of the formally complete analytic second derivatives for the domain-based local pair natural orbital second order Møller–Plesset perturbation theory (MP2) method, applicable to electric or magnetic field-response properties but not yet to harmonic frequencies. We also discuss the occurrence and avoidance of numerical instability issues related to singular linear equation systems and near linear dependences in the projected atomic orbital domains. A series of benchmark calculations on medium-sized systems is performed to assess the effect of the local approximation on calculated nuclear magnetic resonance shieldings and the static dipole …

Physics010304 chemical physicsGeneral Physics and AstronomyBasis function010402 general chemistry01 natural sciences0104 chemical sciencesComputational physicsDipoleAtomic orbital0103 physical sciencesPhysics::Atomic and Molecular ClustersPhysical and Theoretical ChemistryPerturbation theoryScalingLinear equationNumerical stabilitySecond derivativeThe Journal of Chemical Physics
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