Teragon wrote:Actually we are able to build objects behaving like 2D atoms.
http://www.tnw.tudelft.nl/index.php?id=33982
If you know the shape of an orbital you can immediatly tell its quantum numbers:
3D
n = 0,1,2,3,... - principal quantum number: Total number of nodes in the wave function (spherical, planar or conical)
l = 0,... n - angular quantum number: Number of nodes going through the center (= number of planar or conical nodes)
m = -l,... 0,... l - magnetic quantum number: Number of nodal planes perpendicular to the xy-plane
s = -1/2, 1/2
2D
n = 0,1,2,3,... - principal quantum number: Number of nodes in the radial direction (spheres or lines)
l = -n,... 0,... n - angular quantum number: Number of nodal lines through the center (= number of linear nodes)
s ?
Prashantkrishnan wrote:For 3D, l = 0, 1, 2, ... n-1.
I would expect it to be the same for 2D.
Prashantkrishnan wrote:In the case of m, we know for instance that in 3D, the p orbitals are px, py and pz, corresponding to the three coordinate axes. In 2D, I would expect that there are only two p orbitals for every principal quantum number.
Prashantkrishnan wrote:I am unable to understand the use of magnetic quantum number to denote the orbitals. The orbitals px, py and pz are interchangeable, while the numbers -1, 0 and 1 are not. But if this is acceptable, then I suppose for 2D, m = 0, 1, 2, ... l.
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