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September 15, 2012
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:icondarksilverflame:
Beauty can be found anywhere in nature. Alluring forms and shapes linger even in the deepest of depths.

This is something fairly spontaneous I did last night for all your geeky pleasures. I wrote a program to plot the volumes in which electrons can be found in a hydrogen atom, according to the laws of quantum mechanics. Brighter areas represent higher probability of the electron being there. These volumes are the orbitals or electron shells of the atom, which have beautiful shapes in the form of spherical harmonics.
What a fine excuse to show a complicated equation in a deviation :D

(n, l, m) are the quantum numbers of the orbitals, where n is the principal number associated with its order and energy, while l and m are associated with angular momentum and spin of the electron. So the number n=1,2,3,4,5... is basically what used to be the number of the electron shell in Bohr's old model of the atom, which is probably what you've learned in school.

By the way, there is no category on dA fitting this kind of illustration. Shame on you, dA! :D
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:icontmwillson3:
Mood: Love ~tmwillson3 Apr 20, 2013  Hobbyist General Artist
YES!!!!! Quantum mechanics for the win!!! I haven't heard the words "spherical harmonics" in months, since I took quantum mechanics. I look back with fondness on it now. So cool! Thanks for sharing the geekiness!!! :D I am showing this to all the people in my department, as I bet they will enjoy it too.
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:icondarksilverflame:
*DarkSilverflame Apr 20, 2013  Hobbyist Digital Artist
My hand probably high fives you right now, but I can't be sure - too much interference.
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:icontmwillson3:
~tmwillson3 Apr 20, 2013  Hobbyist General Artist
Lolz.... those slits you know, you can never be quite sure ;-)
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:icongrenadiers:
~Grenadiers Apr 19, 2013  New member
Jesus quantum
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:iconsin-theta:
Spherical harmonics ♥
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:iconjsp7707:
Uhhhh... I'm suffering through a chem class this semester...
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:icondarksilverflame:
*DarkSilverflame Mar 21, 2013  Hobbyist Digital Artist
No worries, it's just chemistry, not quantum mechanics :D
Simply think of chemistry as atoms making deals with each other concerning their electrons. Because that's all it is :)
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:iconacorn83:
"Beauty can be found anywhere in nature."
Gettin' awfully Feynman up in here.
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:iconscottman2th:
have you considered a short animation of these shapes morphing from one sequence into the next? think it would be rather cool...just sayin'
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:icondarksilverflame:
*DarkSilverflame Jan 1, 2013  Hobbyist Digital Artist
There are no shapes in-between; these are the only shapes. It can be only one or the other. That's what quantum mechanics is all about - things are quantized, not continuous :)
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