So I did my homework. Surfing the web, looking for some confirmation to the idea that the electron clouds may generate by themselves a kind of electric polarization. The results were not very satisfactory...a closer look to the spherical harmonics shows that they actually ARE symmetric on the polar angle. I guess i had the wrong idea in my head, I was probably thinking about the wave function itself, and forgetting to calculate the actual probability (I guess my QM ideas were in fact a little dusty after all).So , I guess electric dipoles will not appear by themselves in an atom when lowering the temperature as I thought. However, I did read about the so called Rydberg atoms, atoms with very high excitation energies, whose electron clouds resemble the hydrogen structure, and they behave as described by the Bohr model....quite interesting. It turns out that the higher their energies are, the better response they have to external electric fields. It make sense, since the high energies will separate the electrons away from the nucleus and making them more ''volatile'' when an external force acts upon them.
But enough of the self-pitifulness. I also found an interesting fact. Even if the atomic orbital are symmetrical in the polar angle, they do have a dependence on it. This dependence crates closed loops where the electron cloud is more dense than else. Sometimes it can create several rings around the atom creating a magnetic dipole moment.
Here are some drawins of an example of such case (n,l,m=7,6,0)
The cool part is that this magnetic dipole moment will appear without any external field!. Like I though it could happen with the electric counterpart.
So far so good. Now, another thrilling (on my standards) idea came to my mind. When you plot the same atom with a change in the magnetic number m, form =0 to =6 or =-6, you get, what seems to me, circular coils around the toroidas direction, just like in a tokamak.(n,l,m=7,6,6)
Will this resemblance with toroidal coils will behave anything like a tokamak? will create a toroidal magnetic field? what would the magnetic dipole moment be?....just wondering.


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