DIOCTAHEDRAL/TRIOCTAHEDRAL MINERALS
There are five polyhedra that are basic building blocks of crystals.
| Polyhedron | Sides | Coordination Number | Minimum Radius Ratio |
| Triangle |
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| Tetrahedron |
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| Octahedron |
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| Cube |
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| Dodecahedron |
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Of
these only the tetrahedron and octahedron will be of interest to us for
building the phyllosilicates. Lets look first at the
basic
tetrahedral unit. The Si - O combination has a radius ratio of 0.30, which
means that the silicon ion fits nicely into a tetrahedral polyhedron. An
exploded schematic diagram of this polydedron is shown at left. We could
talk about electron orbitals and discuss just why this happens, but lets
keep the discussion simple. Lets just say that the Silicon ion shares its
charge equally between the four oxygen ions, leaving each oxygen with an
excess charge of negative one. We now have the orthosilicate anion, which
could at least theoretically be neutralized by four protons (hydrogen ions).
This anion tends to react readily with alkali and alkali earth ions. The
SiO44- anion does have another option open to satisfy
the charges, however.
It
is also possible for an oxygen ion to bond with two Si ions, and thereby
have its charge balanced. Theoretically this could happen by the three
face oxygen ions, the two edge oxygen ions, or the single corner oxygen
ion bonding with two silicon ions. There may be several reasons that the
first two options are not possible, but in the simplest explaination either
face sharing or edge sharing would bring the two highly electropositive
silicon ions too close together. Thus, only a sharing of the corner oxygen
ion is a viable option. This can and does occur. If each of the four oxygen
ions bond with two silicon ions the result is a QUARTZcrystal.
In the phyllosilicates only one plane of oxygen ions bond with two silicon
ions as indicated at right. This bonding is extended in two directions
to form a sheet of silicon tetrahedrons. Lets
for the moment leave this sheet of tetrahedral units with unbalanced charges
on the apical O ions.
The
second basic building block of the phyllosilicates is an aluminum
octahedral unit. The aluminum/oxygen radius ratio is 0.41, which
we see from the above table falls right at the maximum ratio for tetrahedral
coordination and minimum ratio for octahedral coordination. Depending on
conditions, aluminum can coordinate with either four or six oxygen ions.
As it turns out, however, within the phyllosilicate mineral structure the
aluminum ion is "more comfortable" in an octahedral coordination. An exploded
view of the aluminum octahedral unit is demonstrated at right. Using the
same simplified approach that we used to explain the Si tetrahedral unit,
aluminum might be said to share +0.5 of its charge with each of the surrounding
oxygen ions, leaving each oxygen ion with a negative 1.5 charge.
This
excess negative charge on the oxygen ions needs to be balanced and the
charge can at least be partially balance if each oxygen ion is bonded with
two aluminum ions. Once again, this could theoretically happen by the three
face oxygen ions, the two edge oxygen ions, or the single corner oxygen
ion bonding with two Al ions. In this case aluminum is slightly less electropositive
than is silicon and is able to approach close enough that corner oxygen
ions can be shared. In a matrix of these octahedral units each oxygen will
be bonded to two aluminum ions, leaving it with a remaining -1 charge.
The charge can be satisfied by attaching a proton (hydrogen ion) and when
this type of structure is continued in three dimentions we have the mineral
GIBBSITE.
We
have another option for balancing the remaining -1 charge on the oxygen
ions. Remember we left a sheet of silicon tetrahedral units with apical
oxygen ions still having an unbalanced charge? The two sheets can be brought
together with the apical oxygen ions of the tetrahedral layer also being
in the octahedral layer. As a result, the charge on these oxygen ions is
balanced by bonding to one silicon ion and two aluminum ions. This is the
basic structure of our first phyllosilicate mineral, KAOLINITE.
The structure illustrated here is about 0.7 nm thick (from the bottom oxygen
to the top oxygen) and extends 10 nm and more in the other two directions.
We can speak of this three dimensional structure as a clay micelle.
A
three
dimensional kaolinite structure with the Si-tetrahedra and Al-octahedra
shown as geometric solids is available for viewing (courtesy of P.
Barak, UW-Madison).
The
kaolinite mineral is actually made up of many micelles piled one atop the
other. Since the surface on one micelle contains hydrogen ions and the
other surface only oxygen ions there is a tendency for hydrogen bonds to
form between micelles. While individual hydrogen bonds are very low energy,
the bonding energy is additive and the sum of the many hydrogen bonds between
micelles results in the micelles being very strongly bonded together and
nearly impossible to seperate. Thus, we speak of kaolinite as being a nonexpanding
phyllosilicate. There is one more item of terminology that should be introduced:
since each micelle is constructed of a layer of silicon tetrahedral units
and a layer of octahedral units, kaolinite is called a 1:1
clay mineral. Thus, kaolinite is a 1:1 nonexpanding clay mineral.
Now,
since we replaced the hydrogen ion on one layer of octahedral oxygen ions
by a silicon ion it is only logical that the remainder of the hydrogen
ions can be similarly replaced.
Indeed, this can be done as shown at left, and another class of clay minerals is thereby introduced. By the same logic as above, we have now formed the basic structure of 2:1 clay minerals. These minerals consist of two silicon tetrahedral layers and one aluminum octahedral layer. A three dimentional structure of the 2:1 clay minerals with the Si-tetrahedra and Al-octahedra shown as geometric solids is also available for viewing (also courtesy of P. Barak, UW-Madison). There are many minerals with this structure, but for now we will simply refer to them as the Mica group. For a description of how these minerals are built into a crystal go to the Muscovite Mica page.
There
is one additional type of mineral we should discuss before leaving this
section. In certain situations we find that a 2:1 clay mineral has been
crystallized in an environment containing an excess of aluminum. Under
these conditions an extra aluminum octahedral layer (Gibbsite) will form
between the micelles as illustrated at right. This formation is not random,
but will be found as a complete layer in each intermicelle space. Minerals
having this characteristic constitute what is known as the CHLORITE
group. The aluminum (Gibbsite) layer has the effect of binding the micelles
tightly, and this group of minerals is also nonexpanding.
Some see this group of minerals as consisting of alternate 2:1 micelles and gibbsite layers. Those with this view will usually call the chlorites 2:1:1 minerals. Others feel that the gibbsite layer in an integral part of the micelle, and will usually refer to the chlorites as 2:2 minerals. Regardless of what they may be called, however, the repeat structure now consists of the 2:1:1 or 2:2 combination as indicated by the line of the left of the figure.
The
oxygen ions in the octahedral layer are in a close packed structure. To
understand what this means, visualize a box full of balls all of the same
size. If you gently shake the box the balls will settle together until
they take up the minimum possible volume. They are now said to be close
packed. As we have already seen, the octahedral layer consists of two planes
of oxygen ions, each ion of which is bonded with two of the smaller aluminum
ions which are located in the space created between the larger oxygen ions
when they come together in this close packed structure. As it turns out,
meeting the requirement that each oxygen ion share charges with two aluminum
ions does not require aluminum occupancy of all possible spaces between
the planes of oxygen ions. Rather, as seen at left, extra sites are created
when the oxygen and aluminum ions come together. Across the entire octahedral
layer there is an average of one empty site created for every two aluminum
ions in the structure. This situation presents an alternate possibility
for building the mineral. Two trivalent aluminum ions will provide a total
of six positive charges, but so will three divalent ions. Thus, during
the process of mineral formation the octahedral layer might be filled with
divalent ions rather than the aluminum ions we have been using to this
point. Most commonly, either divalent iron or magnesium are the ions found
replacing the aluminum. If the octahedral layer contains divalent ions
in all the possible sites, it is a known as a trioctahedral
mineral. If it contains trivalent ions in two of every three
possible sites, it is known as a dioctahedral mineral.
(Keep this straight! It can be a point of confusion!)
If you were able to view the three dimentional structures, both depicted
dioctahedral minerals.
| common constituents | Occasional constituents | Cations found in interlayer spaces | ||||||
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| O2- |
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Ni2+ | 0.074 | 0.55 | Na+ | 0.101 | 0.75 |
| Si4+ |
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Ti4+ | 0.060 | 0.44 | K+ | 0.134 | 1.00 |
| Al3+ |
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Zn2+ | 0.057 | 0.42 | Cs+ | 0.163 | 1.24 |
| Fe2+ |
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Mn2+ | 0.083 | 0.61 | Ca2+ | 0.105 | 0.78 |
| Fe3+ |
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Mn3+ | 0.072 | 0.53 | Ba2+ | 0.140 | 1.03 |
| Mg2+ |
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Mn4+ | 0.052 | 0.39 | Sr2+ | 0.118 | 0.87 |
| . | Li+ | 0.076 | 0.56 | H2O | 0.145 | .. | ||
| Cr3+ | 0.065 | 0.48 | NH4+ | 0.143 | . | |||
| Cu+ | 0.095 | 0.70 | .. | |||||
A second source of charge on the minerals is the broken bonds found at the mineral edges. The structure cannot extend infinitely, so at some point there will be oxygens without all charges satisfied by associating with cations. In these cases a hydrogen ion from solution will normally satisfy the requirement. Whether this can occur will, however, depend on the solution pH. Therefore, these charges are called either pH-dependent charge or variable charge.