The Morse potential is a typical model for bond vibrations. It has analytic quantum solutions, and the anharmonicity makes excited states transitions different from the 0 → 1 fundamental transition. Here we will test our method on the 1-D Morse potential with the form Three parameters, x e , χ e , and ω e completely determine the Morse potential, but we will not scan all these parameters due to the large computational expense. Instead, we select a few parameter sets that mimic real chemical bond vibrations for testing.