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Participant
I made a mistake:
as the cos and sin terms are squared, they always are positive.
So for the 3 cases:
1)a>0 => Tetha = n*pi, n = 0,1,2,3,…
2)a=0 => Tetha has no preferred orientation, no quadrupole moment
3)a<0 => Tetha = n*pi/2, n = 1,3,5,…