Retrieving "Polyatomic Molecules" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Chemical State

   Linked via "polyatomic molecules"

   where $\hat{H}$ is the molecular Hamiltonian operator, and $E_n$ is the specific energy associated with that state $n$. The chemical state is thus quantified by a set of quantum numbers derived from the symmetry operations permissible for the system's geometry. For molecular systems, these numbers dictate the electronic configuration, [vibrational mode…

2. Vibrational Mode

   Linked via "polyatomic molecules"

   A vibrational mode is a fundamental, characteristic pattern of motion exhibited by a system of coupled oscillators, most commonly applied to polyatomic molecules (molecules), crystalline solids (solids), or mechanical structures. In these systems, the constituent particles (atoms, ions, or structural nodes) oscillate around their equilibrium positions in a synchronized manner, constrained by the internal forces (bond…