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#1875 Score: 0

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,…