Question

linear molecule having identical ends belongs to ___point group
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Answer 1

Answer:

Linear molecules belong to the axial rotation group. Their symmetry is intermediate in complexity between nonlinear molecules and atoms.

Answer 2

Answer:

Linear molecule having identical ends belongs to axial rotation group.

Explanation:

• The Cn or Dh group best describes the symmetry of the electrostatic potential created by the nuclei and other electrons in linear molecules. The electrostatic potential that an electron experiences is invariant to rotations of any amount about the molecular axis (i.e., V(+)=V(), for any angle increment ), which is the key distinction between these symmetry groups and the finite point groups that define the non-linear molecules. This indicates that the operator C, which causes the azimuthal angle of the electron to rotate about the molecular axis by a certain amount, commutes with the Hamiltonian [h, C] = 0.
• The m quantum number, which serves the same purpose as the point group labels did for non-linear polyatomic molecules and provides the eigenvalue of the angular momentum of the orbital about the molecule's symmetry axis, can be used to label the molecular orbitals of a linear molecule.

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