the various rotational energy levels of a rigid rotator(in terms of wave number) are given by
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In terms of wave number, a rigid rotator's multiple rotational energy levels are given as a rigid rotator. Schrödinger's paradox
Rigid rotor:
- A mechanical representation of rotating systems is the stiff rotor.
- A top-like 3-dimensional stiff object is an example of an arbitrary rigid rotor.
- Such an object needs three angles, called Euler angles, in order to be oriented in space.
- A linear rotor, such as a diatomic molecule, that can be described by just two angles is referred to as a particular stiff rotor.
- More universal molecules like water (asymmetric rotor), ammonia (symmetric rotor), or methane are three-dimensional (spherical rotor).
Spectra of rotation:
- If molecules have an electric dipole moment, incident electromagnetic waves can excite the rotational levels of the molecules.
- The molecule experiences a torque due to the electromagnetic field.
- The electromagnetic spectrum's microwave range often contains the spectra for rotational transitions of molecules.
The Shrodinger equation can be used to determine the rotational energy for stiff molecules. The calculated moments of inertia can be used to determine bond lengths, and the diatomic molecule can be used as an example.
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