Atomic_orbitals_n1234_m-eigenstates.png
Size of this preview:
365 × 600 pixels
.
Other resolutions:
146 × 240 pixels
|
292 × 480 pixels
|
467 × 768 pixels
|
623 × 1,024 pixels
|
1,246 × 2,048 pixels
|
2,800 × 4,600 pixels
.
Summary
Description Atomic orbitals n1234 m-eigenstates.png |
English:
Collection of all 30 atomic single-electron orbitals for the lowest four
n
quantum numbers
. The four blocks show the quantum numbers
n
=1,
n
=2,
n
=3 and
n
=4, respectively. Each row shows one
l
-quantum number
l
=0 (s),
l
=1 (p),
l
=2 (d) and
l
=3 (f) with
m
quantum numbers
in ascending order. The color depicts the complex-valued phase of the
wavefunction
. In contrast to the real-valued orbitals in chemistry, which are superpositions of several
m
-eigenstates
, the probability densities shown here are symmetric around the
z
-axis. The solid bodies enclose the volume where the continuous probability density exceeds a well-chosen threshold. The formulas that describe the orbitals can be found at
Hydrogen atom
. The 2
s
, 3
s
and 4
s
orbitals are cut open to reveal the inner structure.
The labels in the image show the quantum numbers nl m with l encoded as letter. |
Date | |
Source | Own work , Created with hydrogen 1.1 |
Author | Geek3 |
Other versions | Atomic orbitals n123 m-eigenstates.png only up to n =3. |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the
Creative Commons
Attribution-Share Alike 4.0 International
license.
-
You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
-
Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.