Compton Effect Energy Formulas Should Include Vibrational and Spin as well as Linear Kinetic Energies

In Compton scattering the incident photon affects not only the linear, but also the vibrational and spin kinetic energies after impact. $hc/\lambda_1 + m_{0}c^2 + 1/2m_{0}v^2 + 1/2I\omega^2_{r_1} + (n+1/2)\hbar_{v_1} = hc/\lambda_2 +m_{0}c^2 + 1/2mv_2^2 +1/2I\omega_{2_r}+ (n +1/2)\hbar\omega_{2_v}$. If the incident photon produces a relativistic speed, the equation should be $hc/\lambda_1 + m_{0}c^2 +1/2m_{0}v_1^2 + 1/2I\omega^2_{r_1} + (n +1/2)\hbar\omega_{v_1} = hc/\lambda_2 + mc^2 +mv^2_2 + 1/2I\omega^2_v + (n +1/2)\hbar\omega_{v_2}$. By including the other kinetic energies a closer reconciliation between theory and experiment will occur.