b.⊙o)equation sinθa ©(0)a0 (sine (+Bsin=m a0 When B=1(/+1),=0,1,2,3,......(0)is a well behaved function, 1:angular momentum quantum number necessary condition:>m hence,l=0,1,2,3…s,p,dfg,h…) m=0.1,0n1,2,-1,0,1,2).… Examples of⊙(o): 1 m Θ(8) 0 0 店 1 0 6 2 cos0 ±1 -sin0 2 2 0 v1 4 (3c0s20-1) ±1 15 sinθcos0 ±2 15 V4 sin20b. Θ(θ) equation When β=l(l+1), l =0,1,2,3,…… Θ(θ) is a well behaved function, l : angular momentum quantum number necessary condition: l ≥ |m| hence, l = 0, 1, 2, 3,…(s,p,d,f,g,h…) m=0,(-1,0,1),(-2,-1,0,1,2)…… 2 2 ) sin ( ) (sin ( ) sin + = m ∂ ∂Θ ∂ ∂ Θ β θ θ θ θ θ θ θ Examples of Θ(θ): l m 0 0 1 0 ±1 2 0 ±1 ±2 Θ(θ ) θ2 sin 4 15 2 1 cosθ 2 6 sinθ 2 3 (3cos 1) 4 10 2 θ − sinθ cosθ 2 15