9.

The complex form of H-atom wave functions for n=3, 1=2, m=±1 states are
Pu(r,0,4)= Ra()},,where R, (r) is the radial function and X,"=(}) (sinOcos0)e
are spherical harmonic functions with 1=2 and m=±1. A real form function (3dxz orbital) can be
constructed
प 1
3dxz √2
correct?
with the linear combination of the two complex wave functions as
'3d +3d1). Which of the following statements about the 3d,,orbital is NOT

(A) 3d wave function is an eigenfunction ofH-atom H (Hamiltonian operator).

(B) 3d wave function is an eigenfunction of H-atom E (operator for square of orbital angular
momentum).

(C) 3d 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.