HydroAOs

HydroAOs - Hydrogen Atomic Orbitals 1 Z 3/2 -Zr/ao e ao 1 Z...

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Hydrogen Atomic Orbitals Ψ 1 s = 1 f8e5 π Z a o 3/2 e -Zr/ao Ψ 2 s = 1 4 f8e5f8e5 2 π Z a o 3/2 2 - Zr a o e -Zr/2ao Ψ 2 pz = 1 4 f8e5f8e5 2 π Z a o 3/2 e -Zr/2ao Zr a o cos θ Ψ 2 11 = 1 4 f8e5f8e5 2 π Z a o 3/2 e -Zr/2ao Zr a o sin θ e i φ l z = h Ψ 2 1-1 = 1 4 f8e5f8e5 2 π Z a o 3/2 e -Zr/2ao Zr a o sin θ e -i φ l z = – h e i φ + e -i φ 2 = ( cos φ + i sin φ ) + ( cos φ - i sin φ ) 2 = cos φ e i φ – e -i φ 2i = ( cos φ + i sin φ ) – ( cos φ - i sin φ ) 2i = sin φ Ψ 2 px = Ψ 2 11 + Ψ 2 1-1 2 = 1 4 f8e5f8e5 2 π Z a o 3/2 e -Zr/2ao Zr a o sin θ cos φ Ψ 2 py = Ψ 2 11 - Ψ 2 1-1 2i = 1 4 f8e5f8e5 2 π Z a o 3/2 e -Zr/2ao
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This document was uploaded on 02/22/2012.

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