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Mineralogy of the silicates
Silicon, after oxygen, is the most abundant element in the Earth’s crust and mantle, and because the Si-O bond is considerably stronger than any other metal – oxygen bond, silicate minerals make up the vast majority of rocks. 95% of the earth’s crust is made up of only a handful of mineral groups, and the rest of these lectures will be concerned with their structure and composition.
The basis for silicate structures is the Si – O bond, and the [SiO4] tetrahedron. In almost all silicate minerals Si is tetrahedrally coordinated by oxygen, with the O-Si-O bond angle only slightly deviating from the ideal value of 109.5o. Although the Si-O bond is approximately 50% ionic and 50% covalent, it is convenient to consider the silicon as tetravalent Si4+ and the oxygen as O2-, so that the net charge of an isolated tetrahedron is [SiO4]4-. The [SiO4] tetrahedron is the building unit of all silicate structures. Tetrahedra can be combined with other in several ways, showing increasing degrees of polymerisation, from isolated tetrahedra, pairs of tetrahedra, single chains, double chains, sheets and continuous frameworks. Tetrahedra are always connected to each other by corner-sharing, but no more than two tetrahedra can share a common corner, i.e. a bridging oxygen.
The [SiO4] tetrahedron can be represented by either a packing model, a ball and stick model or a polyhedral model:
When two tetrahedra form linked pairs (dimers) in a structure, the bridging oxygen is common to both, and hence in determining the Si:O ratio each bridging oxygen counts as 1/2. In the dimer below there are 2 Si atoms, 6 non-bridging oxygens and 1 bridging oxygen. The Si:O ratio is therefore 1:3.5 and the net charge on the dimer is [Si2O7]6-.
Two SiO4 tetrahedra joined together to form an [Si2O7] pair. Although the O-Si-O bond angle is rigid within each tetrahedron, there is considerable flexibility possible in the Si-O-Si bond angle.
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Increasing silicate polymerisation.
In silicate framework structures each silicate tetrahedron is connected by all four corners to other silicate tetrahedra, so that all oxygen atoms are corner-sharing. The Si:O ratio is therefore 1:2 and there is no net charge on the whole framework. The mineral quartz, SiO2 is a framework silicate.
In most framework structures some Al3+ substitutes for Si4+ in the tetrahedra, which gives the framework a net negative charge and so requires other cations in the structure to balance the charge. The Al – Si substitution is a very important phenomenon in minerals.
MINERALS WITH ISOLATED SiO4 TETRAHEDRA (ORTHOSILICATES)
In this group isolated [SiO4] tetrahedra are linked together by other cations wich lie between them. To produce an electrically neutral structure the charge on each tetrahedron has to be balanced by 4 positive charges. These metal ions such as Fe2+, Mg2+, Ca2+ etc. link the tetrahedra together.
The most important mineral in this group is
Olivine
The name ‘olivine’ refers to a continuous range of compositions between Mg2SiO4 (forsterite) and Fe2SiO4 (fayalite) and we usually write the formula as (Mg,Fe)2SiO4, indicating that Mg and Fe can substitute for each other. This type of continuous chemical mixing is called a solid solution and is a very common phenomenon in minerals. The most important factor which controls solid solution formation is the relative size of the cations.
The olivine structure.
The left diagram above shows the arrangement of [SiO4] tetrahedra in projection down the a axis of the orthorhombic unit cell (dashed line). The isolated tetrahedra point alternately up and down along rows parallel to the c axis. In this projection there are rows at two levels in the unit cell, the lower level (at a=0) drawn in a heavier line and an upper level (at a = 1/2). Within each level the tetrahedra are linked by octahedra which contain the the cations (termed M sites, and shown by the small circles).
In the right hand diagram the lower level is shown in the same projection. This shows how the octahedra are linked together. There are two kinds of octahedra, labelled M1 and M2. The M1 octahedra share edges to form ribbons parallel to the c axis. Ribbons in one layer are connected to those in the layer above by the M2 octahedra, also by edge-sharing.
Other olivine compositions.
In the Fe-Mg olivines the Fe and Mg ions are randomly mixed over the M1 and M2 sites.
In the Ca-bearing olivines the Ca is in the M2 sites while Fe and Mg are mixed over the M1 sites.
There is virtually no solid solution between the Ca-bearing olivines and Fe,Mg olivines because the Ca ion is too big to substitute into M2 sites when they are occupied by Fe,Mg.
At higher temperatures the structure expands by increasing the size of the M sites, and so more solid solution is possible. At 10000C there is about 5% substitution of Ca for Fe,Mg; at 1450oC it is 20%. This is a general and important principle in Mineralogy.
Occurrence of olivine in rocks.
Olivine crystallises at very high temperatures from melts that are rich in metals and relatively poor in silica. Olivine is one of the first minerals to crystallise as a melt (magma) cools and is often found in well-formed crystals, surrounded by later-crystallising minerals.
The temperature at which olivine crystallises depends on the composition. This can be seen in the phase diagram in the next section.
The olivine phase diagram.
The melting point of forsterite is 1890oC and fayalite is 1205oC. Only the pure end-members of the solid solution melt at fixed temperatures. Solid solutions melt over a range of temperatures as shown in the phase diagram below. Similarly, only pure melts begin to crystallise solids of the same composition as the melt. All other melt compositions crystallise solids more Mg rich than the melt.
When a melt of composition Fo50 (i.e. 50 mole% Forsterite) cools the first crystals to form, at ~1720oC have a composition of Fo80 (shown by the horizonal tie line from the composition on the liquidus to the composition on the solidus). If equilibrium is maintained, the first-formed crystals react with the melt as cooling continues, so that at any temperature the equilibrium compositions of the melt and the crystals are given by horizontal tie lines. Crystallisation is complete at 1500oC when the final olivine crystals will have the same composition as the initial melt. At temperatures between 1720oC and 1500oC, both the compositions of coexisting olivine + melt and their proportions change.
If equilibrium is not maintained during the cooling process the olivine crystals will be compositionally zoned with cores that are more Mg rich than the margins. This happens if cooling is too fast for the crystals to reequilibrate with the melt.
Melting is the reverse of crystallisation. A crystal of composition Fo50 begins to melt at 1500oC and the first liquid to form has composition Fo20.
Phase transitions in Mg2SiO4 in the earth.
Mg2SiO4 exists as the olivine structure in the earth down to a depth of 400km when the high pressure tranforms the olivine structure to the spinel structure with the same composition. This is termed a phase transition, and the study of such structural changes is one of the most important aspects of Mineralogy. The spinel structure of Mg2SiO4 is about 6% denser than the olivine structure and so is more stable at high pressure. The formation of this denser structure is responsible for sharp discontinuity (increase) in the velocity of seismic waves at 400km depth. The transition is also thought to trigger deep earthquakes because of the volume reduction.
Garnet group
The garnets are more complex both chemically and structurally than olivines. The general formula of garnets is A32+B23+(SiO4)3 where A is Ca2+, Mg2+, Fe2+ or Mn2+ and B is Al3+, Fe3+ or Cr3+. Thus there is a much wider range of possible compositions of garnets than olivines. The structure is cubic and consists of isolated silicon tetrahedra bonded by BO6 octahedra by corner sharing, while the larger A cations have 8-fold distorted cubic
coordination.
Part of the garnet structure showing the linkage between the isolated SiO4 tetrahedra and the BO6 octahedra. The large A sites are left unshaded. Only the O atoms (small circles) are shown.
Garnet compositions
Natural garnets are commonly divided into two groups – those in which the A cation is Ca2+ (the grandite group) and those in which the A cation is not Ca2+, but the B cation is Al3+ (pyralspite group).
Grandite group / Grossular / Ca3Al2(SiO4)3Andradite / Ca3Fe3+2(SiO4)3
Uvarovite / Ca3Cr2(SiO4)3
Pyralspite group / Pyrope / Mg3Al2(SiO4)3
Almandine / Fe2+3Al2(SiO4)3
Spessartine / Mn3Al2(SiO4)3
Within the grandite group there is a continuous solid solution between grossular and andradite. Within the pyralspite group there is extensive substitution of Mg, Fe and Mn in the A site, although the compositions of natural garnets tens to fall either between pyrope and almandine, (Mg,Fe2+3)Al2(SiO4)3 or between almandine and spessartine,
(Fe2+3, Mn)Al2(SiO4)3. It is also possible to find garnets in high temperature metamorphic rocks (formed above 700oC) which have compositions inetermediate between the two groups, i.e. (Ca,Mg,Fe2+3)Al2(SiO4)3.
Zircon
Zircon, ZrSiO4 , is an important industrial mineral because it is the main source of zirconium Zr, used in nuclear reactors and zirconia ZrO2, an important ceramic material. It is found in small amounts in many different types of rocks, and usually only as microscopic crystals. However as it is very dense and resistant to weathering, it can form significant concentrations in sand deposits from which it is easily separated.
Zircon also almost always contains some hafnium as well as uranium and thorium. The radioactive decay of uranium to lead provides the basis for radiometric dating of rocks. The radioactivity also damages the crystal structure and makes it metamict (another word for amorphous, but used in this special sense).
Zircon is tetragonal and most grains form small tetragonal prisms. The zircon structure consists of isolated [SiO4] tetrahedra (dark in the following diagram) with the large Zr ions (as well as the other minor elements) in 8-fold coordination.
The zircon structure
The Aluminium Silicates Al2SiO5.
The three polymorphs of Al2SiO5, andalusite, kyanite ans sillimanite are very important minerals in metamorphic rocks. They are often referred to as the aluminosilicate polymorphs. When the formula is written as AlAlO(SiO4) it is clear that the minerals belong to the orthosilicates and have two different Al structural sites as well as isolated [SiO4] tetrahedra. This is also clear from the crystal structures.
The structures of the three polymorphs share a number of common features. In all three minerals straight chains of edge-sharing AlO6 octahedra extend along the c axis. These octahedra contain half of the Al in the structural formula. The remaining Al atoms are in coordination which is different in each mineral: 6-fold sites in kyanite, 5-fold sites in andalusite and 4-fold sites in sillimanite. These Al-polyhedra alternate with [SiO4] tetrahedra, also along the c axis, linking together the AlO6 chains.
Our main interest in these minerals will be in their relative stability fields as a function of pressure and temperature. Kyanite is 14% denser than andalusite and 11.5% denser than sillimanite, so that on this basis we would expect kyanite to be stable at the highest pressures and lowest temperatures. Andalusite is the low pressure phase and sillimanite is stable at high temperatures and moderate pressures.
Andalusite Sillimanite
Kyanite
Approximate P-T stability fields of the three polymorphs.
SINGLE CHAIN SILICATES
By far the most important minerals in which the [SiO4] tetrahedra are linked to form a linear single chain are the pyroxenes.
The basic pyroxene structure is shown below.
(a) A single pyroxene chain which extends along the c axis and below, a schematic representation of this chain viewed end-on. (b) The arrangement of SiO4 chains in the pyroxene structures, viewed along the c axis. The M1 cations form chains of edge-sharing octahedra between the apices of the tetrahedra, while the larger M2 octahedra form similar chains between the bases of the tetrahedra.
All the pyroxenes have this basic structure, but deepending on the compositions there are variations in the size of the M octahedra and this affects the way in which the tetrahedra link to the octahedra. When the M sites have their largest possible size, the tetrahedral chain is straight, as shown above. As the M sites become occupied by smaller cations the tetrahedral chain must become shorter to accommodate this. This can only happen by kinking the tetrahedral chain, or by changing the arrangement of chains along their length i.e. moving the chains relative to one another along the c axis.
In the figure above the tetrahedral chain has to be rotated to fit with the octahedral M chain, which has been shortened by 4%. This happens when the M sites are occupied by smaller cations or as the temperature decreases.
Pyroxene compositions.
(a)
Calcic and Fe,Mg pyroxenes.
The shaded areas represent the extent of solid solution in naturally occurring pyroxenes. At high temperatures there is complete solid solution between augite and pigeonite.
The Ca-rich pyroxenes, as well as pigeonite are monoclinic, and are termed clinopyroxene. The Ca is always in the larger M2 site. In Ca-rich clinopyroxenes the chains are straight, whereas in pigeonite the chains are rotated and shortened to better accommodate the smaller Fe,Mg cations. When there is very little or no Ca present, the M2 site becomes even smaller, and this is done by arranging the chains differently along their length. The Ca-poor structures are orthorhombic and are termed orthopyroxene.
(b)
Sodic and sodic-calcic pyroxenes.
In high pressure rocks pyroxenes are enriched in Al in octahedral coordination, as in jadeite, which has Na in the M2 sites and Al in the M1 sites. Above about 700oC there is complete solid solution between jadeite and augite, involving a coupled substitution:
Na+ + Al3+ Ca2+ + (Mg2+,Fe2+), thus maintaining the overall charge balance.There is also some replacement of Al3+ by Fe3+. Omphacite forms below 700oC and is a distinct mineral species because of the way in which the cations are arranged or ordered in the M1 and M2 sites. For this reason omphacite has a lower symmetry than jadeite or augite, but all these pyroxenes are still clinopyroxenes.
The augite-pigeonite phase diagram.
On the previous page it was stated that “at high temperatures there is complete solid solution between augite and pigeonite” yet the composition field of naturally occurring Ca,Mg,Fe pyroxenes does not show any compositions between augite and pigeonite. This can be understood from the phase diagram, which shows the compositions of co-existing phases as a function of temperature. It is more complex than the olivine phase diagram because the solid solution is only complete at high temperatures and because there is a phase transition from clinopyroxene to orthopyroxene in the Ca-poor pigeonite.
As we can see from the phase diagram pigeonite is only formed at very high temperatures and should transform to orthopyroxene as the rock cools. However, this transformation involves a complete reorganisation of the silicate chains (it is called a reconstructive phase transition) and takes a very long time. So if a rock is very slowly cooled the pigeonite is transformed to orthopyroxene, but in rapidly cooled rocks (such as volcanic rocks) the pigeonite structure is preserved. Instead, the silicate chain in pigeonite distorts and gets shorter. This is also a phase transition because it involves a change in the structure, but in this case it is very easy and fast because it involves no bond-breaking. Such a transition is called a displacive phase transition and is shown as the high-pigeonite low-pigeonite transition in the schematic phase diagram below.
The high-low pigeonite transition is shown as a dashed line because it is not strictly part of the equilibrium phase diagram. Low pigeonite is metastable (not thermodynamically stable butdoes not transform to opx for kinetic reasons.)
Exsolution
The decomposition of a solid solution to form a two-phase intergrowth occurs by a solid state diffusion process and is called exsolution or phase separation. The intergrowth is usually on a very fine-scale because diffusion is a slow process. Even in very slowly cooled rocks an optical microscope is needed to see the two phases, and in more rapidly cooled rocks the intergrowth is even finer and an electron microscope is needed to see it.
The transformation of pigeonite to orthopyroxene also results in exsolution because the orthopyroxene can contain less Ca than pigeonite. Therefore orthopyroxene very often contains exsolution lamellae of augite as a result of the transformation.
Because solid solutions are common in many mineral groups, and the compositional range of solid solutions is greater at high temperatures, exsolution is a common process during cooling in rocks. The scale of the exsolution intergrowth (often termed the microstructure) is an indicator of the cooling rate of the rock.
STRUCTURE AND CLEAVAGE
The way a crystal breaks depends on the crystal structure. Glass, for example, breaks in an irregular way, but crystals often break along planes of weakness, leading to perfectly planar fractures called cleavage planes. Cleavage planes in individual minerals can be seen on broken surfaces of rocks, and also in thin rock sections prepared for optical microscopy. Because of the relationship between cleavage and structure, the cleavage planes present in a mineral are characteristic and diagnostic.
The strong structural units in pyroxenes are the groups opposing tetrahedral chains bonded by the M1 sites between them. These units are shown in the diagram below as “I-beams”, and the cleavage planes in pyroxenes pass between these I-beams. On the atomic scale these cleavage planes are not flat, but on average they form cleavages at approximately 90o to each other. The cleavage planes are also shown in the drawing of a single crystal of pyroxene.