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

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Page 1: Hydrogen Atom – Atomic Orbitals Lecture - 3 X Y Z x P (e - ) z Q y R.
Page 2: Hydrogen Atom – Atomic Orbitals Lecture - 3 X Y Z x P (e - ) z Q y R.
Page 3: Hydrogen Atom – Atomic Orbitals Lecture - 3 X Y Z x P (e - ) z Q y R.

Hydrogen Atom – Atomic Orbitals

Lecture - 3

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X

Y

Z

x

P (e-)

z

QyR

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K. E. P. E.

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X

Y

Z

x

P (e-)

z

QyR

Page 7: Hydrogen Atom – Atomic Orbitals Lecture - 3 X Y Z x P (e - ) z Q y R.

Change to POLAR CO-ORDINATES!

X

Y

Z

x

P (e-)

z

QyR

r

θ

ϕ

Page 8: Hydrogen Atom – Atomic Orbitals Lecture - 3 X Y Z x P (e - ) z Q y R.

can now be solved to find the wave functions

of stationary states (standing waves)!

Page 9: Hydrogen Atom – Atomic Orbitals Lecture - 3 X Y Z x P (e - ) z Q y R.

Only certain energies are

possible!

Principal quantum number

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Azimuthal quantum number

Azimuthal quantum number

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Radial wave

function

Angular wave

function

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Page 13: Hydrogen Atom – Atomic Orbitals Lecture - 3 X Y Z x P (e - ) z Q y R.

From Zumdahl

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Shapes of Atomic Orbitals

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