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.
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