Vibrational and Rotational as well as Linear Kinetic Energies Should be Included in Compton Efect Energy Formula

In Compton scattering the incident photon will affect the vibration and rotation of the impacted particle as well as its linear motion. Therefore, the energy equation for the Compton Effect must be modified to include the change in vibrational and rotational kinetic energy of the particle before and after photon impact. The Compton Effect equation equation should then be as follows. $hc/\lambda_1 + m_0c^2 + 1/2mv_1^2 + 1/2I{\omega_r}_1^2 + 1/2k_1{x_0}_1^2 = hc/\lambda_2 + m_0c^2 + 1/2mv_2^2 + 1/2I\omega_2^2 + 1/2k_2{x_0}_2^2$.