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- ...vector-tensor relation for more general motions of more general systems ([[rigid rotor]]s) for which the rotational axis is not fixed in space: '''L''' and '''&om The angular momentum of a finite size rigid body ([[rigid rotor]]) will be introduced. The angular momentum is expressed with respect to a23 KB (3,890 words) - 10:45, 11 June 2009
- * The [[Rigid rotor#The quantum_mechanical linear rigid rotor|linear rigid rotor]] * The [[Rigid rotor#Schrödinger equation for symmetric top|symmetric top]]17 KB (2,678 words) - 10:12, 9 May 2011
- ...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 splitti13 KB (2,036 words) - 18:38, 10 February 2010
- ...lecule is a [[Rigid rotor#The quantum mechanical linear rigid rotor|linear rigid rotor]]—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}})}20 KB (3,081 words) - 21:57, 31 March 2022
- 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'',31 KB (4,757 words) - 02:20, 27 October 2013
- 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 [11 KB (1,558 words) - 21:27, 10 November 2020
- ...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. This21 KB (3,338 words) - 10:45, 11 June 2009
- ...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 when20 KB (3,213 words) - 02:14, 23 February 2010
- ...[[translation]]s of the [[atom]]s; in a molecular gas, translations and [[rigid rotor|molecular rotations]] both contribute to kinetic energy and therefore to in16 KB (2,628 words) - 14:15, 12 December 2021
- ...[Richard Valpy]], [[Riemann-Hurwitz formula]], [[Riemann-Roch theorem]], [[Rigid rotor]], [[Ring (mathematics)]], [[Rioplatense Spanish]], [[Ripieno concerto]], [45 KB (4,912 words) - 07:29, 24 April 2024