Advanced Morse Potential Calculator for Carbon Monoxide

Formula Used

The Morse potential is a simple yet highly effective analytical model for the potential energy of a diatomic molecule like carbon monoxide ($CO$). It explicitly accounts for the effects of bond dissociation and anharmonicity, unlike the basic harmonic oscillator model.

The standard expression for the Morse potential energy $V(r)$ is given by:

$$V(r) = D_e \left(1 - e^{-a(r - r_e)}\right)^2$$

Where:

• $V(r)$: Potential energy as a function of internuclear distance.
• $D_e$: Well depth dissociation energy relative to the potential minimum.
• $a$: Parameter related to the slope and stiffness of the potential well.
• $r$: Current internuclear distance between carbon and oxygen atoms.
• $r_e$: Equilibrium bond distance where potential energy is at its minimum.

How to Use This Calculator

1. Input or retain standard molecular constants such as dissociation energy and harmonic frequency for carbon monoxide in the first column.
2. Specify your desired test internuclear distance and vibrational quantum number in the second column fields.
3. Navigate to the third column panel and click the submit button to execute the calculations.
4. Review the computed results instantly displayed directly below the header section of the page.