Hydrogen_eigenstate_n4_l3_m1.png
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Summary
Description Hydrogen eigenstate n4 l3 m1.png |
English:
Calculated 4f
1
orbital
of an electron's eigenstate in the Coulomb-field of a hydrogen nucleus. An
eigenstate
is a state which keeps it's shape except for a complex phase when the
Hamilton operator
is applied, thus being invariant in time while obeying the
Schrödinger equation
. The orbital is aligned around the z-axis, but remains an eigenfunction if rotated to any direction.
The wavefunction is:
The state is an eigenstate of
H
,
L
² and
L
z
, which constitute a
complete set of commuting observables
.
Since l=3, this is called a f-orbital.
|
Date | |
Source |
Own work ; created with hydrogen 1.0 |
Author | Geek3 |
Other versions | File:Atomic-orbital-cloud n4 l3 m1.png |
Properties
Scale | Surface probability density | Probability inside the solid shape |
---|---|---|
23px / a 0 | 2.55·10 -5 / a 0 3 | 44.9% |
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