Related Experiment Video
Updated: May 13, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
Published on: April 8, 2020
Electronic transition dipole moments and dipole oscillator strengths within Fock-space multi-reference coupled
Debarati Bhattacharya1, Nayana Vaval, Sourav Pal
1Physical Chemistry Division, CSIR, National Chemical Laboratory, Pune 411008, India.
Abstract:
Within the Fock-space multi-reference coupled cluster framework, we have evaluated the electronic transition dipole moments, which determine absorption intensities. These depend on matrix elements between two different wave functions (e.g., ground state to the excited state). We present two different ways, to calculate these transition moments. In the first method, we construct the ground and excited state wave functions with the normal exponential ansatz of Fock-space coupled cluster method and then calculate the relevant off-diagonal matrix elements. In the second approach, we linearize the exponential form of the wave operator which will generate the left vector, by use of Lagrangian formulation. The right vector is obtained from the exponential ansatz. In order to relate the transition moments to oscillator strengths, excitation energies need to be evaluated. The excitation energies are obtained from the Fock-space multi-reference framework. The transition dipole moments of the ground to a few excited states, together with the oscillator strengths of a few molecules, are presented.
Related Concept Videos
Electric Dipoles and Dipole Moment
Theoretically, studying electric dipoles leads to understanding why the resultant electric forces around us are weak. Since electric forces are strong, remnant net charges are rare. Hence, the interaction between dipoles helps us understand electrical interactions in...
π Electron Effects on Chemical Shift: Overview
Hybridization of Atomic Orbitals II
Molecular Geometry and Dipole Moments
Molecular Orbital Theory II
Molecular Orbital Theory I

