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What's an upstanding electron to do?

11/4/2015

2 Comments

 
electron shell configuration, Bohr atomic model
We've been getting into the nuts and bolts of what happens within an atom to an electron. Let’s do a theoretical exercise and start filling electrons into their orbital shells, from the lowest energy on up. The first 2 electrons can occupy the 1st orbital “shell,” but because they repel each other with equal force, they find the spot in the orbital that is equidistant from each other within the shell. If we stopped here, we can calculate the electron’s energy with quantum mechanics as Bohr proved. But with a more complex system like the Nickel atom, we can’t stop there.

Up to 8 electrons can occupy the next orbital shell. Though one electron wants to remain as far away from the next, there’s another electron in the way that is also dealing with repelling and being repelled. That is, instead of 1 electron exerting on and experiencing force from 1 electron as in the 1st shell, this 2nd shell electron will be exerting a repelling force, as well as having force exerted upon it, by 7 other electrons.

What's more, the shells aren’t isolated from one another! The 1st shell electrons exert force on the 2nd shell electrons etc. AND likewise those 2nd shell electrons are repelling the 1st shell electrons. So at this point, all 10 electrons are exerting and experiencing repelling forces from numerous electrons in their own orbital as well as from other occupied orbitals. In the lower left figure, I imagine visually what this might look like, using dotted lines of equal length to represent the equal distances represented by the equal forces of repulsion that each electron is experiencing and exerting. So in my map, I theorize how all 10 electrons might orient themselves to be most optimal with respect to another.

NOW, let’s fill in orbital shell 3, which can hold up to 18 electrons. In the right-hand figure, I try the mapping thing again, spreading these electrons out equally within their orbit, but can only fit 16 of the 18 remaining electrons into the orbital. If I simply increase the radius of the orbit, I can get all 18 electrons in the orbit! Et voila!

But no, this does not happen in reality. Why?

Before I move on, I want to make a clarification on valence shell capacity: 18 is the maximum occupancy of electrons that the 3rd shell can hold, but if that 3rd shell is the valence, or outermost shell, one is taught in school that the max. number it can hold is 8. While orbital "shells" are a concept that is no longer valid, for now, think of these shells as having "sub-shells," with the outermost sub-shell being the valence shell. Thus they determine that atom's chemical properties since they are the ones that interact with the valence electrons of another atom/s. Basically, it gets so much more complicated from here, and what I have been trying to do the last few posts is explain some reasons for why Bohr's atomic model falls apart. Check out: http://chemistry.tutorvista.com/inorga…/electron-shells.html

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