9. The complex form of H-atom wave functions for n=3, 1=2, m=±1 states are,where R_3d(r) is the radial function and (sinθcosθ)e^±iφ are spherical harmonic functions with 1=2 and m=±1. A real form function (3d_xz orbital) can be constructed with the linear combination of the two complex wave functions as. Which of the following statements about the 3d_xz orbital is NOT correct?
(A) 3d_xz wave function is an eigenfunction ofH-atom (Hamiltonian operator).
(B)3d_xz wave function is an eigenfunction of H-atom(operator for square of orbital angular momentum).
(C) 3d_xz wave function is an eigenfunction of H-atom (operator for angular momentum along the z axis).
(D) The magnitude of orbital angular momentum is not zero.
(E) the average values of Lz is zero.