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/sci/ - Science & Math


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2113940 No.2113940[DELETED]  [Reply] [Original]

Well, shit.

I'm trying to simulate/visualize the electric field generated by a water molecule (or any molecule, if I can.) I can look up the average distance and angle between the nuclei, but what about the electrons?

What's the most accurate way to describe the location of electrons for the normal field equations to work?

I keep hearing that the position of an electron is uncertain, and that its probable locations form a cloud around the nucleus it happens to be orbiting... but that doesn't help when you need a precise displacement vector to calculate the force.

Does anyone know of an equation I can use, or a way to inject the 'probable location' of an electron into the force equation?

Or, are these equations of conflicting scales?

>> No.2113948

Electron Cloud.

You can never determine the exact position of an electron, but most electrons can be found in the Electron Cloud Model, where you have a higher probability of finding one in that area than anywhere else on the atom

>> No.2113954
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2113954

So what does that do to the force equation? I mean, the electron could be right next to my test charge, or it could be on the other side of the atom.

>> No.2113957

>>2113948
Also, remember that this is "probability" you only have a higher chance of finding one there, and if you find one, good for you, but you will never expect to find it there any other time as it is completely random.

given the correct vectors and scalar, I bet you could calculate the position of an electron over a specific time.

>> No.2113959

I also bet you could Graph the path of travel over that time, but you would never be able to accurately predict it.

>> No.2113968

>>2113948
My physics teacher told me electron clouds were bullshit.

>> No.2113974

So the vector field image should be a time-average of different possible locations of the electron?

Like, I would have to do a few hundred renders putting electrons in different places, then average out the vector fields?

Oh, my other question is how electron clouds change during bonds. I thought it would be easy to find, but I couldn't find any when I looked.

>> No.2113977

>>2113968
When the Electron Cloud model was calculated, the majority of the electrons at specific points in time all lead to the area where there was a higher chance of finding one there than anywhere else.

Also, the person who did it (name escapes me) graphed it using the calculations gathered, he did not "predict" or suggest you would be able to locate one, only that you have a chance at finding one there

>> No.2113981

>>2113968
The cloud isn't where the electron IS as much as the locus of places it could potentially be.

If you could freeze time and look at one instant, you'd find the electron in one place and one place only. Fuck superposition.

>> No.2113988

>>2113974
you can start a base quickly with wikipedia for the bonding question, after that, verify that wikipedia was correct by using other more legitimate sources.

I know how to calculate trajectory and orbit like the next guy but electrons have no definite path. I'm sure you should be given a path to graph, all the positions should be hypothetical, never assume you can locate one.

>> No.2113995

So if I want to simulate the water molecule, would it be okay if I just built a tetrahedron the way the Bohr model predicts? Is there anything more accurate than that that I can actually implement?

>> No.2113997

>>2113995
The Bhor nucleus with the Electron cloud of electrons would be the most accurate

Bhor's model suggested that the electrons were in fixed Principal Energy Levels, while PEL's do exist, the Electron cloud is most accurate

>> No.2114002

>>2113997
That brings me back to my original question. What's the force coming off of a cloud of potential electron positions? How would you do that by hand, or with a computer?

>> No.2114004

>>2114002
when it was calculated, there were no computers that could do an equation like that LOL

I guess you need to find out the force of one Electron.

But I bet an electron's speed is variable, use a statistic bell curve to calculate the average speed

>> No.2114017

>>2114004
I guess you don't know. I don't fault you for it, but I kind of assumed there'd be a handy extension of one equation to include the other.

>> No.2114024

>>2114017
All I knew was the electron cloud and how you can't locate an electron, and how it was all around probability of location.

most of everything after that was an assumption of why you couldn't

When the guy graphed it, I'm sure there was an equation and a vector, in fact it may be the same equation that people use to find the distance of something over time at a given speed of V=D/T

sorry I couldn't be more of a help