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English: First few hydrogen atom orbitals; cross section showing color-coded probability density for different n=1,2,3 and l="s","p","d"; note: m=0

The picture shows the first few hydrogen atom orbitals (energy eigenfunctions). These are cross-sections of the probability density that are color-coded (black=zero density, white=highest density). The angular momentum quantum number l is denoted in each column, using the usual spectroscopic letter code ("s" means l=0; "p": l=1; "d": l=2). The main quantum number n (=1,2,3,...) is marked to the right of each row. For all pictures the magnetic quantum number m has been set to 0, and the cross-sectional plane is the x-z plane (z is the vertical axis). The probability density in three-dimensional space is obtained by rotating the one shown here around the z-axis.

Note the striking similarity of this picture to the diagrams of the normal modes of displacement of a soap film membrane oscillating on a disk bound by a wire frame. See, e.g., Vibrations and Waves, A.P. French, M.I.T. Introductory Physics Series, 1971, ISBN 0393099369, page 186, Fig. 6-13. See also Normal vibration modes of a circular membrane.


Slovenščina: Valovne funkcije elektrona v vodikovem atomu imajo določeno energijo (naraščajoče od zgoraj: n=1,2,3 ...) in vrtilno količino (naraščajoče prek: s, p, d ...). Svetlejša področja odgovarjajo višji verjetnostni gostoti za merjenje lege. Vrtilna količina in energija sta kvantizirani in zavzemata le nezvezdne vrednosti, kot jih kažejo slike.
Date Unknown date
Source Originally uploaded to :en by en:User:FlorianMarquardt at 18:33, 14 Oct 2002.
Author Unknown authorUnknown author
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Other versions 3D views of the same orbitals


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Date/TimeThumbnailDimensionsUserComment
current22:21, 4 July 2009Thumbnail for version as of 22:21, 4 July 2009316 × 316 (14 KB)FalcorianLossless compression with pngout
16:07, 12 March 2005Thumbnail for version as of 16:07, 12 March 2005316 × 316 (23 KB)MichaelDiederich

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