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Hi, so during lecture, the concept that two electrons are paired if they have opposite spins, and are parallel if they have the same spin was discussed. What exactly does this mean conceptually and how would someone calculate it?
So, the way it was discovered was shooting a beam of the e- through a passageway of two magnets, one north pole and one south pole. When the electrons went through they would either pull upwards or pull downwards, indicating that there was a type of spinning involved; Hopefully that answers your question about how it works conceptually. Calculating it would be M(s)= +1/2 or -1/2 (Where s is the subscript).
It means that orbitals can only hold 2 e-s per orbital and each orbital will fill with one e- with spin going up and one e- with spin pointing down. It is just the way electrons orient themselves. It is also important to remember that orbitals will fill first all with only one e- then they will double up there are extras. So for p sub shell with three orbitals say you have 4 electrons, each orbital will hold one electron with spin going up until they are all full then the extra electron will then double up in the first orbital so that the first orbital has 2 electrons with opposite spin,
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