Transitions between these things produce the Stokes shifts of the Raman effect.
Monique Tirion showed that a simple uniform potential models these entities effectively in proteins. When modelling proteins as a Gaussian network, these entities are described by the matrices obtained from decomposing the Kirchhoff matrix. Analyzing these entities is effectively equivalent to molecular dynamics at the low-temperature limit. These entities can be solved for by solving the secular equation for a (*) mass weighted Hessian. The frequency of these entities can be solved for by assuming solutions of the form of the exponential of i times omega times t, plugging them into the equations of motion, then solving for the eigenvalues of the matrix-form of the equations. Transitions between these things produce the Stokes shifts of the Raman effect. For a non-linear molecule with N atoms, there exist 3N-6 of these entities, examples of which include scissoring and symmetric stretches. For 10 points, name these patterns of motion where every part of a system oscillates at the same frequency.
Monique Tirion showed that a simple uniform potential models these entities effectively in proteins.
normal modes [accept vibrational modes; prompt on vibrational degrees of freedom; prompt on molecular vibrations]