What is Morse potential equation?

The Morse Potential is a good approximation to V(x) and is best when looking for a general formula for all x from 0 to ∞, not just applicable for the local region around the xo: V(x)=D(1−e−β(x−x0))2. with V(x=x0)=0 and V(x=∞)=D. The Morse Potential (Figure 5.3.

What is Morse energy potential?

The Morse potential, named after physicist Philip M. Morse, is a convenient interatomic interaction model for the potential energy of a diatomic molecule.

What is Morse potential used for?

The morse potential is a convenient model for the potential energy of a diatomic molecule. It is much used in spectroscopic applications (reference to Dwek and Campbell needed) as it is possible to solve Schrödinger equation for this system (see Atkins).

What is Morse model?

The Morse oscillator is a model for a vibrating diatomic molecule that improves on the simple harmonic oscillator model in that the vibrational levels converge with increasing energy and that at some finite energy the molecule dissociates.

What is Morse potential in vibrational spectroscopy?

The Morse Curve is often used to represent the potential energy surface of an electronic state of a molecule. Strictly speaking, this can only be applied to a diatomic molecule, but it is a useful approximation for more complex systems.

What is beta in Morse potential?

The Morse potential U(r – re) is given by De{1 – exp[–β(–r – re)]} 2, where De is the dissociation energy at the minimum of the curve (i.e. when r=re) and β is a constant. The Morse potential was used by the US physicist Philip M. Morse in 1929 in solving the Schrödinger equation.

Is Morse potential anharmonic?

The Morse oscillator is a particularly useful anharmonic potential for the description of systems that deviate from the ideal harmonic oscillator conduct and has been used widely to model the vibrations of a diatomic molecule.

What is r0 in Morse potential?

The Morse potential is the simplest representative of the potential between two nuclei in which dissociation is possible. where r0 is the equilibrium internuclear distance. Notice in Figure 1 that the energy levels of the harmonic oscillator decrease as the “box” expands to the size of the Morse (or “real”) potential.