Morse-Potential

The Morse potential () is a term used in molecular physics. The 1929 proposed by the U.S. physicist Philip McCord Morse context describes the course of the electronic potential of a diatomic molecule as a function of core bond distance by an exponential approximation:

Wherein the ( spectroscopic ) dissociation, the core distance of the lowest potential energy, and a constant (sometimes referred to as " rigidity in the potential "). They are characteristic of the molecule under consideration.

As is usually the potential at infinity is defined as zero:

Is the Morse potential often in the alternative form:

Specified. Thus, the zero potential shifts by.

The Morse potential allows an analytical solution of the Schrödinger equation and provides the vibrational energies:

With the Planck's quantum of action and the vibrational quantum number. has the unit of a frequency and is attached via the particulate with the constant of the Morse potential:

Today is applied for the calculation of vibrational energies rather the RKR potential ( RKR stands for Rydberg, Klein and Rees ) or the Lennard -Jones potential.