When deciding how electrons are arranged in an orbital diagram for a given atom or ion, Hund's rule is used.
For example, in an iron atom, the valence level consists of 8 electrons,
the 4s orbital, and the five 3d orbitals. (The core is the same as the
argon atom.)
[Ar]4s()3d()()()()()
The 4s orbital is lower energy than the 3d, so it fills
first: place 1 electron into the orbital
[Ar]4s(
)3d()()()()()
There is only 1 4s orbital, so the next electron has to go into the
single orbital with spin down.
[Ar]4s(
)3d()()()()()
We now have six electrons left: according to Hund's rule we should place
as many into orbitals singly with aligned spin. Five electrons can go
into the 5 3d orbitals
[Ar]4s(
)
3d(
)
(
)
(
)
(
)
(
)
We have used up seven electrons: we have only 1 left. It must go into one
of the 3d orbitals
[Ar]4s(
)
3d(
)
(
)
(
)
(
)
(
)
Example: What is the orbital diagram for the Co atom?
Solution: The cobalt atom has 9 valence electrons, a core shell
like argon and a 4s and 5 3d orbitals in the valence shell. Fill the s
orbitals first
[Ar]4s(
)3d()()()()()
We now have 7 electrons left. Start by placing each in a different d orbital with
spins aligned.
[Ar]4s(
)
3d(
)
(
)
(
)
(
)
(
)
We have two electrons left after filling each 3d orbital once: we have to pair them up.
[Ar]4s(
)
3d(
)
(
)
(
)
(
)
(
)
This is the orbital diagram for cobalt.
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