Nucleus vibration What are the frequencies of the vibrations of the atom's nucleus? Is it in the quadrillions? Vibrating molecules is not the same thing - which is addressed as phonon vibration.
 A: For a nucleus with medium mass, the first excited vibrational state is typically at an excitation energy of about 1 MeV. We can relate this to a frequency via $E=\hbar \omega$, which gives $\omega\sim10^{21}$ Hz. This is what is known as an isoscalar vibration, in which neutrons and protons move together.

Vibrating molecules is not the same thing - which is addressed as phonon vibration.

Both can be described in terms of phonons. Phonons are a general way of thinking about any quantum-mechanical vibration: they act like bosonic excitations.
A: Here is a quote from  https://www.accessscience.com/content/giant-nuclear-resonances/288700 :
Elementary modes of oscillation of the whole nucleus, closely related to the normal modes of oscillation of coupled mechanical systems. Giant nuclear resonances occur systematically in most, if not all, nuclei, with oscillation energies typically in the range of 10–30 MeV. Among the best-known examples is the giant electric dipole (E1) resonance, in which all the protons and all the neutrons oscillate with opposite phase, producing a large time-varying electric dipole moment which acts as an effective antenna for radiating gamma rays.
