Hydrogen Atom – Atomic Orbitals Lecture - 3 X Y Z x P (e - ) z Q y R.

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Presentation transcript:

Hydrogen Atom – Atomic Orbitals Lecture - 3

X Y Z x P (e - ) z Q y R

K. E. P. E.

X Y Z x P (e - ) z Q y R

Change to POLAR CO-ORDINATES! X Y Z x P (e - ) z Q y R r θ ϕ

can now be solved to find the wave functions of stationary states (standing waves)!

Only certain energies are possible! Principal quantum number

Azimuthal quantum number

Radial wave function Angular wave function

From Zumdahl

Shapes of Atomic Orbitals a) Polar Plots b) Density Plots (written by Deepika) c) Radial Plots

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