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

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

Atomic Structure

Good Morning

Hydrogen Atom Atomic OrbitalsLecture - 3

XYZxP (e-)zQyR

K. E.P. E.5

XYZxP (e-)zQyR

Change to POLAR CO-ORDINATES!XYZxP (e-)zQyRr

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

Only certain energies are possible!

Principal quantum number

Azimuthal quantum numberAzimuthal quantum number

Radial wave functionAngular wave function

From ZumdahlShapes of Atomic Orbitalsa) Polar Plotsb) Density Plots (written by Deepika)c) Radial Plots