If there are three electrons associated together then how

[invrlovduanyway]

If there are three electrons associated with each other in some kind of magnetic trap then will the middle electron be able to move freely towards either of the outer electrons or will the middle electron be held equidistant between the two outer electrons?

 

[Simon Bridge]

The electrons can approach each other - limited by their mutual repulsion.
Oversimplifying: they basically bounce around off the trap walls and off each other.

 

[Nugatory]

If you really want to get it right, you have to write down the potential generated by the magnetic trap and then solve Schrodinger's equation for three electrons in that potential. This is a seriously non-trivial problem - consider that a lithium atom is basically three electrons in an electrostatic trap.