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September 15, 2012
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The Shapes Of Hydrogen - Poster by DarkSilverflame The Shapes Of Hydrogen - Poster by DarkSilverflame
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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:icondarksilverflame:
DarkSilverflame Featured By Owner Jan 15, 2015  Hobbyist Digital Artist
Also a good one :)
Reply
:iconlordkatama:
LordKatama Featured By Owner Oct 1, 2014
Nice. I'm learning about quantum mechanics at university now, and our lecturer viewed this image during a lecture. Gives a nice depiction of how these electron wave function look, making the whole quantum-fuzzyness more tangible, I'd say. Thanks.
Reply
:icondarksilverflame:
DarkSilverflame Featured By Owner Oct 13, 2014  Hobbyist Digital Artist
Did he actually show my poster, or just a plot of the orbitals? :)
Reply
:iconlordkatama:
LordKatama Featured By Owner Oct 14, 2014
No, your actual poster. It had your deviantart-id on it.
Reply
:iconsciencelover5:
Sciencelover5 Featured By Owner Apr 2, 2014  Hobbyist General Artist
This makes me so happy! :D Chemistry is awesome!
Reply
:icontudiestudio:
tudiestudio Featured By Owner Oct 23, 2013  Professional Digital Artist
Precise and beautiful. Nobody can ask for more. Wonderful work!
Reply
:icondarksilverflame:
DarkSilverflame Featured By Owner Oct 23, 2013  Hobbyist Digital Artist
Thank you :)
Reply
:iconalexander-musset:
Alexander-Musset Featured By Owner Sep 23, 2013
I don't understand the maths at all, but this really is amazing. Maybe Mind Wanderers, should have it's own Nobel Prize of the month or something. I would definitely vote for this one!
Reply
:icondarksilverflame:
DarkSilverflame Featured By Owner Sep 23, 2013  Hobbyist Digital Artist
Thank you :)
Reply
:icondoesntknowanybetter:
Doesntknowanybetter Featured By Owner Sep 22, 2013  Hobbyist Artist
I may not know chemistry or physics of any type but this is still fascinating to me :D 
Reply
:icondarkoverord:
DarkOverord Featured By Owner Jul 27, 2013  Hobbyist Digital Artist
Goodness I recall that equation briefly in QM Lectures haha. This is also one of the sharpest (in the most probabilistic way allowable ;) ) examples I've seen of it too. A year late to the party but I've only just seen this haha!
Reply
:icontheshsx71:
theshsx71 Featured By Owner Jul 17, 2013  Hobbyist Interface Designer
amazing
Reply
:iconrandomkeystone:
randomkeystone Featured By Owner Jul 12, 2013
A brilliant and thorough execution. I have often wondered what exists in the space where the electrons are not found...
R.K.
Reply
:iconwavesandbreakers88:
wavesandbreakers88 Featured By Owner Jun 22, 2013  Student Writer
I know this is an old deviation, but I just saw it...It's pretty cool. :D It's a fun learning tool, but would also be good as a fun wall decoration for us nerdy folks. Kudos to you!
Reply
:icondarksilverflame:
DarkSilverflame Featured By Owner Jun 23, 2013  Hobbyist Digital Artist
Not nerdy, educated :)
Reply
:iconwavesandbreakers88:
wavesandbreakers88 Featured By Owner Jun 25, 2013  Student Writer
Heh heh. That too. :D
Reply
:iconnippey:
Nippey Featured By Owner Jun 6, 2013  Hobbyist Artisan Crafter
Fantastic!
During my Master's Thesis I had a lot of pleasure with visualising data.
That's a wonderful sample of how beautiful science can be!

Gre aus dem Ruhrgebiet! ;)
Reply
:icontmwillson3:
tmwillson3 Featured By Owner 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.
Reply
:icondarksilverflame:
DarkSilverflame Featured By Owner Apr 20, 2013  Hobbyist Digital Artist
My hand probably high fives you right now, but I can't be sure - too much interference.
Reply
:icontmwillson3:
tmwillson3 Featured By Owner Apr 20, 2013  Hobbyist General Artist
Lolz.... those slits you know, you can never be quite sure ;-)
Reply
:icongrenadiers:
Grenadiers Featured By Owner Apr 19, 2013
Jesus quantum
Reply
:iconsin-theta:
sin-theta Featured By Owner Mar 28, 2013
Spherical harmonics ♥
Reply
:iconjsp7707:
jsp7707 Featured By Owner Mar 20, 2013
Uhhhh... I'm suffering through a chem class this semester...
Reply
:icondarksilverflame:
DarkSilverflame Featured By Owner 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 :)
Reply
:iconacorn83:
Acorn83 Featured By Owner Feb 2, 2013
"Beauty can be found anywhere in nature."
Gettin' awfully Feynman up in here.
Reply
:iconscottman2th:
ScottMan2th Featured By Owner Jan 1, 2013  Hobbyist General Artist
have you considered a short animation of these shapes morphing from one sequence into the next? think it would be rather cool...just sayin'
Reply
:icondarksilverflame:
DarkSilverflame Featured By Owner 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 :)
Reply
:iconscottman2th:
ScottMan2th Featured By Owner Jan 7, 2013  Hobbyist General Artist
things are clear now on this subject at least...still think the poster is very cool
Reply
:icondamian-the-demon:
Damian-The-Demon Featured By Owner Dec 23, 2012  Hobbyist General Artist
Will you be making posters for the other elements? I loved this one so much that I'd like to see more :)
Reply
:icondarksilverflame:
DarkSilverflame Featured By Owner Dec 23, 2012  Hobbyist Digital Artist
Probably not - there are no analytical formulas for more complicated elements. Also, it would be repetitive and not terribly illuminating :)
Reply
:icondamian-the-demon:
Damian-The-Demon Featured By Owner Dec 23, 2012  Hobbyist General Artist
Oh, okie. Still though, I'm a science nut so I really liked this one :XD:
Reply
:iconsallyshorrorshow:
SallysHorrorShow Featured By Owner Nov 30, 2012
can i use this for my homework?
Reply
:icondarksilverflame:
DarkSilverflame Featured By Owner Nov 30, 2012  Hobbyist Digital Artist
If you leave the URL on it :)
Reply
:iconolyn:
Olyn Featured By Owner Nov 26, 2012  Hobbyist Traditional Artist
Great Work
Reply
:iconmonkeyboy1993:
MoNkEyBoY1993 Featured By Owner Nov 9, 2012  Student General Artist
I've had problems with DA's category system as well.

Your general ability to be creative, illustrative, AND nerdy never ceases to amaze me.
Keep up the amazing work, man. I love stuff like this.

I'm not well apt in this study but...
Considering that electrons move at such rapid paces of movement this diagram,
Would it also show that if you were able to inspect 1 single electron atom's movement in each of the diagrams, it would create this general shape? Cuz like I know atoms have that giant round cloud simply because the movement of the electrons is THAT rapid.

Idk, just a personal fancy, it'd be sick to know how the diagrams relate to not only position, but movement. :D
Reply
:icondarksilverflame:
DarkSilverflame Featured By Owner Nov 9, 2012  Hobbyist Digital Artist
These are the regions represent the provability of where electrons can be found - the brighter, the more likely. It has nothing to do with their motion. In quantum mechanics, everything is governed by probability. Thinking of them whizzing around is an old view that's not quite correct :)
Reply
:iconmonkeyboy1993:
MoNkEyBoY1993 Featured By Owner Nov 10, 2012  Student General Artist
Ah, ok then! Thanks so much for the quick tidbit of info there :D
Reply
:iconnercsnercua:
nercsnercua Featured By Owner Oct 31, 2012
woah.. i was blown away... co cool..
Reply
:icondarksilverflame:
DarkSilverflame Featured By Owner Oct 31, 2012  Hobbyist Digital Artist
Thanks :)
Reply
:iconepixvisionz:
EpiXVisiOnZ Featured By Owner Oct 13, 2012
LOVE!!!!
Reply
:iconepixvisionz:
EpiXVisiOnZ Featured By Owner Oct 13, 2012
LOVE!!!
Reply
:iconjusk2ru:
jusk2ru Featured By Owner Oct 5, 2012  Student Digital Artist
Wait a sec! I saw this way back, before you posted it here(I think 0-o) in a youtubers(Athene's) (Awesome)video. Take another moment before thinking I'm dissing because this deviation is in my favorites. Do explain tho.
Reply
:icondarksilverflame:
DarkSilverflame Featured By Owner Oct 5, 2012  Hobbyist Digital Artist
You're mistaken, I wrote the program to plot these myself. You are likely thinking of a different collection of plots.
Reply
:iconjusk2ru:
jusk2ru Featured By Owner Oct 7, 2012  Student Digital Artist
Actually I'm pretty sure I'm right about this, but I also believe you. Anyhow I'll assume you gave the permission or got inspired by the I saw =]
Reply
:icondarksilverflame:
DarkSilverflame Featured By Owner Oct 7, 2012  Hobbyist Digital Artist
I was inspired by having studied physics and wanting to plot these things for ages, actually :D
Reply
:iconjusk2ru:
jusk2ru Featured By Owner Oct 7, 2012  Student Digital Artist
^^ I get what you're saying. Math and PC visualization is an art of it's own class.
Considering that everything at it's basics is information the potential for such art is incredible.
Reply
:icondarksilverflame:
DarkSilverflame Featured By Owner Oct 7, 2012  Hobbyist Digital Artist
Everything is physics, you mean :3
Reply
:iconjusk2ru:
jusk2ru Featured By Owner Oct 9, 2012  Student Digital Artist
Actually physics are an explanation of the observations from the man made measuring devices. =p ...Nobody can be really sure what is out there.
Read about neural science...it'll greatly expend your understandings, man.
Reply
:icondarksilverflame:
DarkSilverflame Featured By Owner Oct 10, 2012  Hobbyist Digital Artist
Actually, we do know what's out there to great accuracy. We can describe the universe at a fundamental level, the character of the 4 forces and how particles interact. And we can make predictions about what will happen in what situation. That's why your computer is working. In quantum electrodynamics, there's one particular theoretical prediction that has been experimentally verified to 16 decimal places, if I remember correctly. Such accuracy is no accident.

I've studied neuroscience quite a lot. But it has little to do with physics as a subject.
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