Many electron atoms 72 En =-R n2 He,Z=2 E1=-R R Predict:E=-54.4 eV Actual:E=-24.6 eV Something is wrong with the Bohr Model! Self-consistent-field (SCF)method Central field method The electron moves in an average field contributed from the nucleus and the other electrons. i1,2…m)=∑ai=∑-2+r) yw1,2,3.…n)=p1(1)p2(2)…0n(n) h,p,=e0, E=61+82+…8n+ - - Many electron atoms E Z n R n = − ⎛ ⎝ ⎜ ⎜ ⎞ ⎠ ⎟ ⎟ 2 2 E1 1 = − ⎛ ⎝ ⎜ ⎜ ⎞ ⎠ ⎟ ⎟ R 22 2 He, Z = 2 Predict: E1 = -54.4 eV Actual: E1 = -24.6 eV Something is wrong with the Bohr Model! Central field method 1 2 (1, 2 ) [ ( )] 2 i i i i H n h Vi Λ Λ L = = − ∇+ ∑ ∑ (1,2,3 ) (1) (2) ( ) 1 2 n n ψ L = ϕ ϕ Lϕ n i i i i h ϕ = ε ϕ Λ E n = ε + ε +Lε 1 2 Self-consistent-field (SCF) method The electron moves in an average field contributed from the nucleus and the other electrons