The HCI molecule can be approximated to a rigid rotor with a permanent dipole moment (4). The HCIS placed in a weak and
Posted: Mon May 16, 2022 2:32 pm
The HCI molecule can be approximated to a rigid rotor with a permanent dipole moment (4). The HCIS placed in a weak and uniform electric field and the potential energy is given by D -uecos where is the field strength and is the spherical angle. a write the total Hamiltonian (A) of the system. (Hint: Remember that the kinetic term of the Hamiltonian for a rigid rotor is given by R = -- b. Write the total Hamiltonian (A) in terms of the unperturbed Hamiltonian (A) and first-order perturbation Hamiltonian (A)) and identify each term Using the normalized eigenfunctions of the rigid rotor PCⓇ) = mo with m = 0.61.12. c Compute the zeroth order term of the energy (EC) for the ground state. d. Compute the first order correction to the energy (EC) for the ground state. (Hint: remember the limits of $ are 0 and 2) e. Compute the total energy for the ground state of the system. (210 - uecos ME coso