Denote the orbital angular momentum. .Indicates the shape of the orbitals around the nucleus. .Denotes the different energy sublevels within the main level"n" 1=0,1,2..n-1 degeneracy 2/+1 0 1 2 34,5,6.… type p d f g,h,i... degeneracy 3 5 7 9,11,13 一 39 二二日 3石 500 2 2p -1000 个 1500 1S 2.2.4 Magnetic Quantum Number,m Determine the z-component of the orbital angular momentum of the atom. Determine the component u,of the magnetic moment in the direction of the magnetic field M.=-ih(x-y)=-ih 0 oy Ox 88 Ψ=-hΨ=-顶 7 =-ihRO 0o ROb=-iRo 8o 8o -ihR⊙Aimeimo=mhROAem=mhΨ A M.平=mΨ M =mh 八=-m,B。•Indicates the shape of the orbitals around the nucleus. •Denotes the different energy sublevels within the main level “n” degeneracy 1 3 5 7 9, 11, 13 … type l s 0 p 1 d 2 f 3 g, h, i … 4, 5, 6 … l = 0, 1, 2 …n –1 degeneracy = 2 l + 1 Denote the orbital angular momentum. • Determine the z-component of the orbital angular momentum of the atom. • Determine the component μz of the magnetic moment in the direction of the magnetic field. ∂φ ∂ = − ∂ ∂ − ∂ ∂ = − h ih x y y M i x z ( ) ˆ 2.2.4 Magnetic Quantum Number , m M z = m μ z = −mβ e h = − Θ = Θ = Ψ ∂ ∂ = − Θ ∂ ∂Φ ΘΦ = − Θ ∂ ∂ Ψ = − ∂ ∂ Ψ = − ∧ h h h h h h h i R Aime m R Ae m M i i R i R i R Ae im im im z ϕ ϕ ϕ φ φ φ φ Ψ = Ψ ∧ M z mh