quantum mechanics

Rotational Motion a) Convert the two complex spherical harmonics for the 1=1, mi = +1 and I = 2, mi ==1 states into real functions that correspond to the 2px and 2py and 3px and 3py orbitals. b) Calculate the energy to excite a H atom in rotational motion confined on a ring of radius of 5 from the lowest energy state to the second lowest energy state. c) Show that the four lowest energy spherical harmonics (I = 0, ma = 0; 1= 1, ma = 0; and 1 = 1, mi= +1) are normalized d) Describe the angular nodes of the 3d orbitals and how they correspond to the angular momentum of 3d electrons