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Table 1 Overview of the most important interactions occurring between two c losed-shell electron density distributions (R is the distance between the two centers of masses)

From: Charge density analysis for crystal engineering

Interaction type

Origin

Range

Directionality

Contribution

Electrostatic

Coulomb attraction/repulsion between unperturbed electron densities

Long range especially monopolar charges of ions (÷1/RL+1; where L is the sum of the multipole orders; L = 0 for charge-charge interactions)

Monopole-monopole interactions are not directional; increasing directionality for higher multipolar moments

Stabilization or destabilization, depending on the sign and orientation of the electrostatic moments of the interacting systems

Induced polarization

Coulomb attraction between electron density of one molecule and field induced polarization of the other

Shorter range (÷1/R4)

Medium-Small

Stabilization

Dispersion

Coulomb attraction between mutually polarized electron densities

Quite short range (÷1/R6)

Small

Stabilization

Short range repulsion

The reduced probability of having two electrons with the same spin very close to each other (Fermi-hole)

Very short range (÷1/R12 or exponential)

None

Destabilization

Charge Transfer

Interaction between frontier orbitals of the interacting systems it implies partial covalence

Occurs only for contacts shorter than van der Waals distances

Very high

Stabilization