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Weak crystal field
e g
Δ
t 2 g
High-spin Fe 2+
Strong crystal field
e g
Δ
t 2 g
Low-spin Fe 2+
Figure 1.9
Two electronic configurations for the same ion Fe 2 + with 6d electrons. When the crystal field is
strong, the energy gap
between the t 2 g and e g orbitals increases, and the six electrons fill the
three t 2 g orbitals. This is the low-spin configuration. When the crystal field is weak, the energy
cost of pairing electrons dominates and two electrons move to the upper e g orbitals. This is the
low-spin configuration. Only some ions of transition elements show such a dual configuration.
field is 4
× (
2
/
5
) +
2
× (
3
/
5
) =−
2
/
5. Conversely, the large
case (full t 2 g )
5.
3. For divalent nickel Ni 2 + ([Ar]3d 8 4s 0 ), the configuration is unique: the three t 2 g orbitals
are fully occupied, while each of the e g orbitals hosts one electron. The energy gain
is 6
is referred to as “low-spin” Fe and has a crystal field effect of
12
/
5; Ni 2 + therefore snuggles in octahedral sites
and is notably enriched in Fe-Mg silicates such as olivine and pyroxenes.
4. The common high-spin Mn 2 + ([Ar]3d 5 4s 0 )aswellasZn 2 + ([Ar]3d 10 4s 0 )havesym-
metrical orbital configurations and therefore no energy gain: in general, they show little
preference between silicate minerals or between silicates and melts.
× (
2
/
5
) +
2
× (
3
/
5
) =−
6
/
The effect of the crystal field is essentially symmetrical when these ions occur in tetrahedral
coordination.
In solutions, transition-element compounds form by interaction between a ligand and
a cation, which is the basis of Lewis acid-base theory. Typical of such interaction is
hydration, e.g. for Zn
Zn 2 + (OH) +
Zn 2 + +
H +
H 2 O
(1.3)
 
 
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