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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
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Source Originally uploaded to :en by en:User:FlorianMarquardt at 18:33, 14 Oct 2002.
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3D views of the same orbitals

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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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