Yes. Always. Otherwise they would break the fundamental rules of quantum mechanics, which say that no two electrons can have the same four quantum numbers -- and spin is the 4th quantum number. If two e- are in the same orbital, they share 3 quantum numbers, but the spin quantum number must then be different.
There are two electrons in each "shell". One spins clockwise, the other spins counter-clock wise. If the shell is filled then that is always the case. If there are, for example two shells with only one electron in each then they both spin in the same direction.
Two fermions (particles that make up matter) cannot occupy the same quantum state. If they are in the same orbital and have the same spin then they will be occupying the same quantum state- which is not possible because that would violate a fundamental property of matter.
According to the Pauli exclusion principle, no two electrons can have the same four quantum numbers. Two electrons in the same orbital will not have the same four quantum numbers as long as they have opposite spins, +1/2 and -1/2.
Because according the Pauli's exclusion principle, no two electrons can have the same 4 quantum number. And since spin (s) is one of the 4 quantum numbers, each electron in the orbital must have different spin, i.e. + or -.
The Pauli Exclusion Principal states that two fermions (an electron is a fermion) can only occupy an orbital if they have opposite spin.
opposite spins
yes they have oppsite spins
Yes
If two electrons are to occupy the same orbital, they must have opposite 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).
The requirement ("Pauli Exclusion Principle") is that they must be different in at least one of their properties ("quantum numbers").
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).
I believe no scientist said exactly this. It is the (two) electrons in the same orbital that must have opposite spins. And the scientist who said that was Wolfgang Pauli in 1925. (Pauli exclusion principle)
Spin
If two electrons are to occupy the same orbital, they must have opposite spin.
they have opposite 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).
The requirement ("Pauli Exclusion Principle") is that they must be different in at least one of their properties ("quantum numbers").
only if spins are opposite: one up one down.
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).
The two arrows with a single block of an orbital diagram must be written in opposing directions because the electrons are said to be rotating in opposite directions. This means the two electrons in the orbital are spinning on their axis in opposite ways.
By the two of them having opposite spin quantum numbers.
In any one orbital there is only one way to arrange the two electrons and that is with opposite spin. (Paulis exlusion principle) In the 3 different p orbitals you could arrange 2 electrons without spin pairing in the same orbital in 3 ways, The middle two are the same. The same applies to d orbitals
I believe no scientist said exactly this. It is the (two) electrons in the same orbital that must have opposite spins. And the scientist who said that was Wolfgang Pauli in 1925. (Pauli exclusion principle)
When you fill an orbital the electrons must spin in opposite directions. This results in no two electrons having the same quantum number, a result defined as the Pauli Exclusion Principle. You can have 2 electrons in an orbital. Note that 2py 2px and 2pz are three different orbitals.