The requirement ("Pauli Exclusion Principle") is that they must be different in at least one of their properties ("quantum numbers").
Two electrons can occupy the same orbital if they have opposite spins. Pauli's exclusion principle states that no two electrons in an atom can have the same set of four quantum numbers, which include spin.
No. Electrons are fermions, meaning they cannot share the same set of four quantum numbers. Usually when we say "orbital" we only mean the first three, so there is room for two electrons in an orbital (corresponding to the two possible ms values).
It depends what type of orbital these two electrons occupy. But there would be one arrow going up and one arrow going down to show two electrons in the same orbital.
The Pauli exclusion principle would require that an electron sharing the same orbital would have to have opposite spin from the other particle in the pair. They therefore have different spin quantum numbers of +(1/2) and -(1/2)
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Spin
they have opposite spin
Two electrons can occupy the same orbital if they have opposite spins. Pauli's exclusion principle states that no two electrons in an atom can have the same set of four quantum numbers, which include spin.
No. Electrons are fermions, meaning they cannot share the same set of four quantum numbers. Usually when we say "orbital" we only mean the first three, so there is room for two electrons in an orbital (corresponding to the two possible ms values).
only if spins are opposite: one up one down.
It depends what type of orbital these two electrons occupy. But there would be one arrow going up and one arrow going down to show two electrons in the same orbital.
No, according to the Pauli exclusion principle, no two electrons can have the same set of quantum numbers in an atom. This means that two electrons cannot occupy the same space orbital if they have the same spin.
The Pauli exclusion principle would require that an electron sharing the same orbital would have to have opposite spin from the other particle in the pair. They therefore have different spin quantum numbers of +(1/2) and -(1/2)
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All other orbitals at the sub contain at least one electron
Electrons have spin of a 1/2. These make electrons fermions. According to Pauli's exclusion principle, no more than one fermion can have the same spin in the same space. So, the electrons occupying the same space must have opposite spin (and so, only two electrons can occupy the same orbital as a result of this, as three electrons will results in two electrons having the same spin state).
An orbital pair refers to two electrons occupying the same orbital within an atom. These electrons have opposite spins as required by the Pauli exclusion principle. Orbitals can accommodate a maximum of two electrons with opposite spins.