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

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Hydrogen Atom – Atomic Orbitals

Lecture - 3

X

Y

Z

x

P (e-)

z

QyR

K. E. P. E.

X

Y

Z

x

P (e-)

z

QyR

Change to POLAR CO-ORDINATES!

X

Y

Z

x

P (e-)

z

QyR

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

Azimuthal quantum number

Radial wave

function

Angular wave

function

From Zumdahl

Shapes of Atomic Orbitals

a) Polar Plotsb) Density Plots (written by Deepika)c) Radial Plots

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