Search results

* The [[Rigid rotor#The quantum_mechanical linear rigid rotor|linear rigid rotor]] * The [[Rigid rotor#Schrödinger equation for symmetric top|symmetric top]]

...t approximation a molecule may be seen as a rigid rotor. A symmetric top [[rigid rotor]] has the unperturbed eigenstates ...matrix]]. The first-order perturbation matrix on basis of the unperturbed rigid rotor function is non-zero and can be diagonalized. This gives shifts and splitti

...lecule is a [[Rigid rotor#The quantum mechanical linear rigid rotor|linear rigid rotor]]&mdash;at least in the broad temperature range of interest. It is [[rigid rotor|known]] that the rotational wave functions of a linear rigid rotor are [[spherical harmonics]] <math>{\scriptstyle Y_\ell^m(\hat{\mathbf{r}})}

The second term is the rotational term akin to the kinetic energy of the [[rigid rotor]]. Here <math>\mathcal{P}_\alpha</math> is the α component of the body-fixed ''rigid rotor angular momentum operator'',

Smaller molecules (up to about twenty or thirty atoms) can often be seen as [[rigid rotor]]s of different shapes (linear, spherical, symmetric, and asymmetric) see [

...econd kind of system. A rigid (non-vibrating) molecule can be seen as a [[rigid rotor]], which moving in field-free space, has a conserved angular momentum. This

...frame becomes a principal axes frame in the case that the molecule is a [[rigid rotor]], that is, when all ''N'' displacement vectors are zero, which occurs when

...[[translation]]s of the [[atom]]s; in a molecular gas, translations and [[rigid rotor|molecular rotations]] both contribute to kinetic energy and therefore to in