The Amplitude of Oscillation at the Dissociation of a Diatomic Molecule. Modelled as Quantum Harmonic Oscillator

Research Paper (postgraduate) from the year 2020 in the subject Physics - Theoretical Physics, grade: 1, , language: English, abstract: This work uses findings to generate a set of simple dimensionless equations, one of which yields the maximum amplitude of oscillation of the system at dissociation. The equations incorporate experimental data which are widely available and a set of such data for simple molecules is presented at the conclusion of the work. The simplicity of the equations developed is exemplified by that for the maximum amplitude of oscillation, Xe, when the system encounters an incoming photon possessing the magnitude of the dissociation energy, De, of the molecule, i.e. (Xe/R) = 2 sqrt(De.Be)/We. Here, R is the bond length, We, the energy of the photon which raises the system from the ground state to the first excited state, and Be is the bond rotational constant. It is suggested that the simple expressions developed here have their application in the violent events associated with dissociation in shock waves and/or high energy particles emanating from stellar collapse and hence may be of utility in these areas of astrophysical modelling.