[HN Gopher] Circular Harmonics
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Circular Harmonics
Author : kelseyfrog
Score : 14 points
Date : 2021-10-29 21:50 UTC (1 hours ago)
(HTM) web link (valdes.cc)
(TXT) w3m dump (valdes.cc)
| securitEEE wrote:
| Interesting read, I recently picked up a Fourier analysis
| textbook and there are some neat ideas from there.
|
| > This also means this article is likely to have innacuracies
| ironic
| mmastrac wrote:
| Are electron orbits spherical harmonics?
| frutiger wrote:
| Electrons do not orbit.
|
| For the simple case of an electron in a hydrogen atom, energy-
| stable wavefunctions are products of three separate functions:
| exponential function, a laguerre polynomial function and a
| spherical harmonic.
| [deleted]
| aaaaaaaaaaab wrote:
| Yes.
| gus_massa wrote:
| More details: The orbitals are the product of an Harmonic
| Orbital and a radial function. More details in https://en.wik
| ipedia.org/wiki/Atomic_orbital#Types_of_orbita... and
| https://en.wikipedia.org/wiki/Hydrogen-like_atom#Non-
| relativ...
|
| Note that this is the initial selection of orbitals. The
| "real"[1] orbitals are linear combinations of them. In some
| cases it's good enough to mix them using some easy
| combinations like in
| https://en.wikipedia.org/wiki/Orbital_hybridisation but in
| the general cases you must use a computer to calculate the
| best combination
| https://en.wikipedia.org/wiki/Hartree%E2%80%93Fock_method .
|
| [1] It get's more complicated.
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(page generated 2021-10-29 23:01 UTC)