Related Experiment Video
Updated: Mar 20, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
Published on: April 8, 2020
Constrained Multipole Moment Density Functional Theory for the Frozen Contribution in Non-Covalent Complexes
Javier Carmona-Espíndola1, José L Gázquez2
1Departamento de Química, SECIHTI-Universidad Autónoma Metropolitana-Iztapalapa, Av. San Rafael Atlixco 186, Ciudad de México 09340, México.
This study introduces a new method to control molecular dipole, quadrupole, and octupole moments. This approach accurately estimates multipole contributions to complex ground states, improving understanding of intermolecular interactions.
Area of Science:
- Quantum Chemistry
- Computational Chemistry
- Theoretical Chemistry
Background:
- Constrained dipole moment density functional theory (CDMDFT) enables control over molecular dipole moments.
- Accurate description of intermolecular interactions is crucial in chemistry and materials science.
Purpose of the Study:
- To develop a variational and nonempirical methodology for controlling dipole, quadrupole, and octupole moments.
- To estimate individual and combined multipole contributions to the ground state of molecular complexes.
- To approximate the variational frozen state and its contribution to complex formation.
Main Methods:
- Implementation of a variational and nonempirical method to control multipole moments.
- Calculation of individual and combined multipole contributions (dipole, quadrupole, octupole).
- Analysis of 24 noncovalent complexes across four literature sets.
Main Results:
- The methodology successfully controls dipole, quadrupole, and octupole moments.
- Individual and combined multipole contributions were estimated for ground state formation.
- Fast convergence of the multipole expansion was observed.
- The dipole, quadrupole, and octupole moments were sufficient to describe the frozen state well.
Conclusions:
- The developed method provides accurate control and estimation of molecular multipole moments.
- Multipole contributions are key to understanding the nature of interactions in noncovalent complexes.
- The multipole expansion converges rapidly, simplifying the description of frozen states.
Related Concept Videos
Crystal Field Theory - Octahedral Complexes
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
Crystal Field Theory - Tetrahedral and Square Planar Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Valence Bond Theory
Valence Bond Theory
Molecular Geometry and Dipole Moments
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...

