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Rotational Motion For Rigid Diatomic and Linear Polyatomic Molecules. This Schrödinger equation relates to the rotation of diatomic and linear polyatomic molecules. It also arises when treating the angular motions of electrons in any spherically symmetric potential.
- 12.2: The Symmetry of Molecules
Linear molecules have a very high rotational symmetry:...
- 2: Rotational Symmetry
The structural symmetry of every molecule is summarized by...
- 12.2: The Symmetry of Molecules
31 Μαΐ 2016 · Linear molecules have a very high rotational symmetry: \(C_\infty\). Examples include diatomics such as \(\text{CO}\), \(\text{NO}\), and \(\text{CO}_2\).
The structural symmetry of every molecule is summarized by its point group, which is the set of all transformations with respect to a fixed point in space that keep the molecule invariant. Each operation of a point group is either a proper or an improper rotation.
Symmetry axis: an axis around which a rotation by results in a molecule indistinguishable from the original. This is also called an n-fold rotational axis and abbreviated C n. Examples are the C 2 axis in water and the C 3 axis in ammonia.
A symmetric rotor always has a rotation axis Cn with n>2, which coincides with one of the principal axes of inertia, and two of the moments are always equal. A special type of symmetric top occurs if
ROTATIONS - AXES OF SYMMETRY. Some examples for different types of molecule: e.g. . H2O. rotate. 180o O. H (2)H H(1) Line in molecular plane, bisecting HOH angle is a rotation axis, giving indistinguishable configuration on rotation by 180o. BF3. By VSEPR - trigonal, planar, all bonds equal, all angles 120o.
From the purpose of describing their rotational behavior, molecules fall into several groups based on their overall symmetry: linear rotors, spherical tops, symmetric tops, asymmetric tops. Examples for these four symmetry types are shown in Figure 5.1 .
