Search results for "Rotational partition function"

showing 6 items of 6 documents

Quantum-chemical determination of Born–Oppenheimer breakdown parameters for rotational constants: the open-shell species CN, CO+ and BO

2013

The quantum-chemical protocol for computing Born-Oppenheimer breakdown corrections to rotational constants in the case of diatomic molecules is extended to open-shell species. The deviation from the Born-Oppenheimer equilibrium rotational constant is obtained by considering three contributions: the adiabatic correction to the equilibrium bond distance, the electronic contribution to the moment of inertia requiring the computation of the rotational g-tensor, and the so-called Dunham correction. Values for the Born-Oppenheimer breakdown parameters of CN, CO+, and BO in their (2)sigma(+) electronic ground states are reported based on coupled-cluster calculations of the involved quantities and …

AB INITIO CALCULATIONSChemistryBorn–Huang approximationBiophysicsBorn–Oppenheimer approximationRotational transitionRotational temperatureCondensed Matter PhysicsROTATIONAL CONSTANTSDiatomic moleculesymbols.namesakesymbolsBorn-Oppenheimer breakdown correctionRotational spectroscopyPhysics::Chemical PhysicsPhysical and Theoretical ChemistryAtomic physicsRotational partition functionMolecular BiologyOpen shellMolecular Physics
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Gauge-origin independent calculation of magnetizabilities and rotational g tensors at the coupled-cluster level.

2007

An implementation of the gauge-origin independent calculation of magnetizabilities and rotational g tensors at the coupled-cluster (CC) level is presented. The properties of interest are obtained as second derivatives of the energy with respect to the external magnetic field (in the case of the magnetizability) or with respect to magnetic field and rotational angular momentum (in the case of the rotational g tensor), while gauge-origin independence and fast basis-set convergence are ensured by using gauge-including atomic orbitals (London atomic orbitals) as well as their extension to treat rotational perturbations (rotational London atomic orbitals). The implementation within our existing …

Angular momentumCoupled clusterMagnetic momentAtomic orbitalChemistryQuantum mechanicsGeneral Physics and AstronomyRotational transitionRotational temperatureTensorPhysical and Theoretical ChemistryAtomic physicsRotational partition functionThe Journal of chemical physics
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Thouless-Valatin Rotational Moment of Inertia from the Linear Response Theory

2017

Spontaneous breaking of continuous symmetries of a nuclear many-body system results in appearance of zero-energy restoration modes. Such modes introduce a non-physical contributions to the physical excitations called spurious Nambu-Goldstone modes. Since they represent a special case of collective motion, they are sources of important information about the Thouless-Valatin inertia. The main purpose of this work is to study the Thouless-Valatin rotational moment of inertia as extracted from the Nambu-Goldstone restoration mode that results from the zero-frequency response to the total angular momentum operator. We examine the role and effects of the pairing correlations on the rotational cha…

Angular momentumNuclear Theorymedia_common.quotation_subjectNuclear TheoryFOS: Physical sciencesRotary inertiaInertia114 Physical sciences01 natural sciencesbinding energy and massesMoment of inertia factorNuclear Theory (nucl-th)symbols.namesake0103 physical sciences010306 general physicsRotational partition functionEuler's equationsEQUATIONSmedia_commonPhysicsta114nuclear density functional theory010308 nuclear & particles physicstiheysfunktionaaliteoriacollective modelsMoment of inertianuclear structure and decayssuprajuoksevuusRotational energyClassical mechanicssuperfluiditysymbolsydinfysiikka
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Quantum-chemical calculation of Born–Oppenheimer breakdown parameters to rotational constants

2010

The paper describes how Born–Oppenheimer breakdown parameters for the rotational constants of diatomic molecules can be determined via quantum-chemical computations. The deviations from the Born–Oppenheimer equilibrium values are accounted for by considering the adiabatic correction to the equilibrium bond distances, the electronic contribution to the rotational constant via the rotational g tensor, and the so-called Dunham correction, which can be computed directly from a polynomial expansion of the potential curve around the equilibrium distance. Calculations for HCl, SiS, and HF demonstrate the accuracy that can be achieved in the theoretical treatment of the considered Born–Oppenheimer …

Field (physics)ChemistryBiophysicsBorn–Oppenheimer approximationRotational transitionRotational temperatureCondensed Matter PhysicsDiatomic moleculesymbols.namesakesymbolsRotational spectroscopyPhysics::Chemical PhysicsPhysical and Theoretical ChemistryAtomic physicsRotational partition functionAdiabatic processMolecular BiologyMolecular Physics
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The distribution of the rotational transition strength in warm nuclei studied through γ-ray correlations

1995

Abstract The study of damping of rotational motion applying te rotational plane mapping (RPM) method is presented and discussed. The aim of this technique is to extract the distribution of the rotational transition strength from an analysis of the shape of the “central valley” of two- and three-dimensional γ-ray spectra. The method is applied to a triple γ-coincidence data set of 162,163Tm nuclei formed in 37Cl+130Te reactions. The rotational transition strength is obtained as a function of rotational frequency for selected regions of entry states, and the width is found to be rather constant and approximately equal to 80 keV. This value is significantly smaller than the value predicted the…

PhysicsNuclear reactionNuclear and High Energy PhysicsRotation around a fixed axisRotational transitionRotational temperatureRotational–vibrational spectroscopyAtomic physicsResidualRotational partition functionSpectral lineNuclear Physics A
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Rotational Three-Body Resonances: A New Adiabatic Approach

2001

In the standard adiabatic approach the motion of the fast, light particle (electron) is treated so as to produce an effective potential that governs the motion of the heavy particles (nuclei). The rotational degrees of freedom are then taken into account by adding the centrifugal J(J + 1)-term to the channel potentials and introducing rotational (Coriolis) couplings into conventional close-coupling calculations. Of course, a perturbative treatment of the rotational motion is justified only provided the rotational energy is sufficiently small. If, however, the rotation is as energetic as the motion of the fast particle, both motions should be treated on the same footing in order to produce s…

Physicssymbols.namesakeTotal angular momentum quantum numberQuantum electrodynamicsRotation around a fixed axissymbolsElectronRotational partition functionMagnetic quantum numberAdiabatic processSchrödinger equationRotational energy
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