Eckart Conditions

The Eckart conditions, named after Carl Eckart, sometimes referred to as Sayvetz conditions, simplify the nuclear motion (rovibrational) Schrödinger equation that arises in the second step of the Born-Oppenheimer approximation. The Eckart conditions allow to a large extent the separation of the external (rotation and translation) motions from the internal (vibration) motions. Although the rotational and vibrational motions of the nuclei in a molecule cannot be fully separated, the Eckart conditions minimize the coupling between these two.

Read more about Eckart Conditions:  Definition of Eckart Conditions, Separation of External and Internal Coordinates, Overall Translation and Rotation, Vibrational Energy, Relation To The Harmonic Approximation

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