Untitled Flashcard Set
Crystal growth: stability and energy
Mineral stability
Availability of constituent atoms: aluminum garnet growth requires - Si, Al, O, and at a minimum one of ……………
Lower energy states or configurations of a system [rock] are more stable than higher energy states
By analogy consider a rock in the air, on a cliff ledge, and at the base of the cliff. In the air the rock is unstable, on the ledge it is metastable [requires activation energy to dislodge], and at the cliff base is 'stable'.
Gibbs free energy [G] is a measure [energy] for evaluating chemical stability. The units are calories or joules. G is evaluated by comparison to the energy needed to make a material from elements - free energy of formation - deltaGf. At a specified T and P, the most stable mineral is that with the lowest deltaGf.
Minerals may be metastable. For example, in spite of predicted stability of quartz over tridymite at STP, tridymite can be found at the surface.
----slide in between----
Nucleation
Homogenous nucleation: atomps move into locations to form a small lattice element - nucleus. Fluids, hydrothermal vents, etc.
Heterogeneous nucleation: atoms attach to a preexisting mineral in such a way that a new nucleus can form. Common in igneous rocks
Epitaxial nucleation
Chemistry
Chemical composition of the earth
Element | Symbol | Weight % |
Iron | Fe | 35 |
Oxygen | O | 30 |
Silicon | Si | 15 |
Magnesium | Mg | 13 |
Nickel | Ni | 2.4 |
Sulfur | S | 1.9 |
Calcium | Ca | 1.1 |
Aluminum | Al | 1.1 |
Others |
| <1 |
Atomic Structure
The Bohr Model:
1. An atom is comprised of:
a. Nucleus = protons & neutrons; AMU=1.00728 & 1.00867,
respectively, &
b. Electrons; AMU=0.00055.
*1 AMU=1/12 mass 12C atom
2. Electrons ‘orbit’ in discrete energy levels
3. Each nucleus has a specific # of protons = atomic number (Z) -- 111 elements
Quantum Mechanics
Why is the Bohr model not good enough?:
1. We know that electrons are not always in spherical distributions
around the nucleus
2. Cannot precisely predict location at any given time [Heissenberg];
therefore, we need a tool for statistical prediction
Energy levels for electrons described by:
1. Principle quantum number [n]
-positive integer principle control on energy -- shells = K, L, M, N…
2. Angular momentum quantum number [l]
-0 to n-1 -- subshells and shapes = s, p, d, f
3. Magnetic quantum number [ml]
- -l to l differently oriented orbitals in subshell (2 l + 1 orbitals in subshell)
4. Spin quantum number [ms]
- +/-1/2
Wave Model of the Atom
deBroglie hypothesized wave nature of the atom:
E = hv = mc2 = hc/delta and
delta = h/mc
Energy (Joule) J- kgm/s2
Frequency (Hertz) v = 1/s
Planck’s constant h - Js, 6.62 x 10-34
Wavelength delta - m
Speed of light c - m/s, 2.99 x 108
Mass m - kg
m = Js/(kg/s) = (kgm/s2 s)/(kg/s)
Schrodinger Wave Equation
Statistical prediction for electron position. This avoids the Heissenberg
Uncertainty Principle - namely the inherent impossibility of
measuring position and velocity of small particles.
One-dimensional case:
Consider a standing wave in a string fixed at both ends - sine wave
Points of no displacement are nodes - zero e- density
Different numbers of nodes are produced as frequency changes
Quantum number n gives the number of half wavelengths
Amplitude (psi ) at any distance = A sin 2(pi)r / delta
A = max amplitude
Square of amplitude is probability of occurrence at r
Three-dimensional case:
psi= wave function in 3d, psi 2(x,y,z) = probability density of finding an electron
Bonding
End member bond types:
1. Ionic- can be considered as attraction between + and - ions or e-exchange between atoms. Occurs between atoms of greatly different e-affinity.
2. Covalent- can be considered as short-range e- sharing between atoms [overlap between valence orbitals]. Occurs between atoms of similar e-affinity.
3. Metallic- can be considered as long-range e- sharing in a conduction band [throughout a lattice]. Occurs between atoms of similar e- affinity.
4. Hydrogen- polar water molecules: ice
5. Van der Waals/Molecular - can be considered as weak attraction between polarized molecules
Ionic Bonds
Forces are electrostatic w/ attraction between positive and negative ions
The negatively-charged electron clouds of Na and Cl repel each other when the shells overlap -
FR a -n/d 1+n
where n is an integer depending on the number of e- shells filled
The net opposite charges attract (Coulomb’s law) -
FA a (q+)(q-)/d2
Equilibrium and chemical stability is attained when repulsive and attractive forces balance; therefore, there is an equilibrium distance that is prescribed by:
FN = FA + FR = 0
Molecular Properties:
Strong bonds result in hard minerals with high melting T
Localized electrons allow these minerals to dissolve and produce ions in solution
Generally low electrical and thermal conductivity - electrons are localized
Bonds are strongly symmetric so close packing of ions is common
Halite (Ionic Bonds):
Covalent Bonds
Covalent bonds are formed when e- sharing occurs between adjacent atoms and valence shell
orbitals overlap. Strength of bonds is proportional to the amount of orbital overlap. Sharing
occurs for enough e- to approximate each atom having a ‘noble gas’ configuration.
Diamond:
C ground = 1s2, 2s2, 2p2
C promoted = 2s1, 2p3
C hybrid = sp3
Properties:
Strong bonds result in hard minerals with high melting T
Generally low electrical and thermal conductivity - electrons are localized
Bonds are strongly directional so close packing is uncommon
Metallic Bonds
Metallic bonds are similar to covalent bonds except that the e- are
delocalized and form a conduction band. These bonds are
favored by weakly held e- and numerous e- in the valence shell
Bonds between two atoms of the same transition element or two
similar transition elements are most likely to have metallic bonds
Properties:
Relatively weak bonds result in soft minerals with
low melting T
Conduction band allows for high electrical and
thermal conductivity - electrons are not localized - they are free to move about
Bonds are symmetrical about near-spherical atoms so close packing is common
Molecular/Van der Waals Bonds
Discrete molecules bonded by attraction
between polarized molecules. Internal
bonds within molecules may vary.
Ex: graphite, sheet silicates
Properties:
Weak bonds result in soft minerals with moderate melting T
-- bonds tend to be weak in one or more orientations - they often have
pronounced cleavage
Low electrical and thermal conductivity - electrons are localized
Bonds are heterodesmic and asymmetrical - no closest packing
Oxide & Silicate Bonds
Most oxide and silicate bonds can be considered as partly ionic and partly
covalent. % ionic character can be determined from the difference in
electronegativity between cation and ion:
% ionic = (1 - e -0.25(xa - xc)2 ) x 100
Where xa = electronegativity of the anion, and
xc = electronegativity of the cation
Complex silicate minerals contain more than one bond type = heterodesmic [as opposed to homodesmic]
Crystal Structure
Ionic-covalent mixed bonds-
Ex: silicates
O-Si is ca. ?? ionic
O- Al, Fe, Mg, Ca, Na, & K are more ionic
Ionic radii
Atoms are not perfect spheres and their shape is controlled by outer orbital
shape and adjacent atoms (bonds). However, we generally can learn
from approximating each atom as a sphere.
Effective radius = size based on the distance between the centers of adjacent
atoms.
Atomic & Ionic Size
Atomic size depends strongly on e- configuration
Neutral atoms decrease in size from left to right across periodic table with
increased attraction between nucleus and electrons. However,
neutral atoms increase in size downward in the periodic table with
addition of orbital shells.
Ionic size is strongly dependent on oxidation state and on the number of
surrounding atoms. Ions decrease in size as charge increases.
Effective Radii
Anions are generally larger than cations so substances can be considered
as a framework of anions with cations in the gaps between anions.
Metallic bonds: L = 2 Rm
Ionic bonds: L = Ra + Rc
where L = length between centers of adjacent atoms
Ionic radius depends on coordination number
(e.g., Shannon, 1976):
For Al3+
CN = IV, r = 0.53 Å
CN = VI, r = 0.68 Å
Ionic radius (see appendix in text) depends on coordination number (e.g.,
Shannon, 1976):
For the REE element Nd3+
CN = VI, r = 1.12 Å
CN = VIII, r = 1.25 Å
CN = XII, r = 1.41 Å
Crystal Structure
The first order control on crystal structure is the nature of chemical bonds:
Metallic- highly ordered arrangements with dense packing (little void space)
Closest Packing of Spheres
- Hexagonal closest packing HCP
or
- Cubic closest packing CCP
Coordination number (CN) = number of nearest
neighbors
Radius ratio: RR = Rc/Ra
Pauling’s Rules
Rule 1: Interatomic distances
A coordination polyhedral of anions is
formed around each cation and the cation-
anion distance is determined by the radius
sun and the CN by radius ratio (Rc/Ra)
Rule 3: Sharing of polyhedral elements 1
Sharing polyhedral elements brings
cations closer and this destabilizes the
structure due to repulsion of positive
charges
The most stable configuration is with cations
furthest apart -share one corner only.
Rule 4: Sharing of polyhedral elements 2
High valency low CN cations are least likely to share polyhedral elements
High valency small cations with low CN are least likely to share polyhedral elements. When they do share, polyhedra are distorted and cations displaced away from each other
Rule 5: Parsimony
Minerals with complex compositions have a limited number of sites and ions of similar size will substitute for one another - solid solution. For example, in amphibole the M1-M4 octahedral sites may contain Ca, Mg, Fe, and other elements.
Types of Crystal Structures
Isostructural: two or more minerals with identical structures
Example: halite [Na and Cl] and galena [Pb and S]
Identical symmetry (holohedral isometric), cleavage (3 at right
angles), and habit (cubic)
Octahedral coordination of anions and
cations
Polymorphism: the ability of one chemical compound to crystallize with more than one structure
Example: Silica Group = SiO2
a-quartz
b-quartz
Tridymite
Cristobalite
Stishovite
Coesite
Example: Aluminum Silicate Group = Al2SiO5
Andalusite
Kyanite
Sillimanite
Reconstructive
Example: SiO2
high cristobalite
high tridymite
Displacive
Example: SiO2
a-quartz
b-quartz
Order-Disorder
Example: KAlSi3O8 - Feldspar
microcline (ordered)
high sanidine (disordered)
Polytypes
Variations in the way that sheets or layers are stacked
Examples: graphite, mica, and clay minerals
Consider stacking octahedral sheets which have O or OH at ‘corners’ of octahedra
Compositional Variation in Minerals
In general, minerals are not pure, but may be part of a solid solution or contain trace impurities that may be important [e.g., color and some other properties are controlled by trace chemistry]. Therefore, mineral analysis is important.
The amount of solid solution, trace elements, and the analytical accuracy/precision are facilitated by calculation of chemical formulas from analyses.
Mineral compositions may be important indicators of natural resources and/or
conditions of rock formation (e.g., pressure, temperature, and chemical
environment).
Pure phases need only be analyzed if we are interested in trace components – a few to hundreds of parts per million.
However, solid solution minerals may vary substantially in composition and
we often want to know the exact composition for a specific sample.
Mineral grains may be analyzed in bulk or in situ.
1) Bulk analysis can be undertaken by crushing a rock or mineral grain and then using either the dissolved or powdered material. Typically X-ray fluorescence (XRF) or inductively coupled plasma techniques are used for this type of analysis.
2) In situ analysis is typically done on a thin section, which has been evaluated petrographically, or on a polished rock surface.
Typically electron probe micro analysis is used for major element concentrations. Micro XRF, laser, or ion beam techniques can be used for obtaining trace element concentrations and the latter 2 techniques can also be used for isotopic analysis.
Solid solution: different cations can occupy the same structural sites [e.g., octahedral, tetrahedral, etc..] amongst the anions.
Types of solid solution
Substitution simple one for one vs. coupled
One for one-example: olivine (Fe,Mg)2SiO4
Fe - Mg
Coupled-example: plagioclase (Na,Ca)Al(Al,Si)3O8
Si4+Na+ - Al3+ Ca2+
Omission: vacant site(s)
Example: pyrrhotite Fe2+(1-3x) Fe3+2x❑xS
Interstitial: between sites
Example: beryl Al3+Na+ - Si4+ ❑
Crystal Structure: a slight return
Radius ratio: RR = Rc/Ra
RR= | CN= | name |
1.0 | 12 | HCP/CCP closest packing |
0.732-1.0 | 8 | cubic |
0.414-0.732 | 6 | octahedral |
0.225-0.414 | 4 | tetrahedral |
0.155-0.225 | 3 | triangular |
< 0.155 | 2 | linear |
Solid Solution in Minerals
Solid solution: property describing the variation of minerals within a definite range of composition [between end members] imparting a range of properties. Different cations can occupy the same structural sites [e.g., octahedral, tetrahedral, etc.. amongst the anions.
We generally think about minerals varying between limits - these limits are called mineral end members.
Example - olivine = (Mg,Fe)2SiO4
Fayalite = Fe2SiO4
Forsterite = Mg2SiO4
The Bohr Model:
1. An atom is comprised of a nucleus & electrons
2. Electrons ‘orbit’ in discrete energy levels, but can be excited by incoming
energy
Types of Chemical Analyses
”Wet chemical"/gravimetric analysis
ICP-OES & ICP-MS [Inductively-coupled plasma -- Optical emission or mass spectrometry]
X-ray fluorescence [XRF] [pressed pellet or fused sample]
In situ techniques
Electron probe microanalysis [EPMA]
Laser ablation ICP-MS
Micro XRF
Wet chemical techniques allow determination of the oxidation state for elements like Fe and determination of H2O content. Most techniques do not yield this information.
Electron Probe Microanalyzer
The EPMA has several component parts:
an electron source (gun),
sample chamber (vacuum),
wavelength dispersive spectrometers with crystals and detectors,
energy dispersive spectrometer,
back-scattered electron detector,
scanning electron detector, and
computer control.
Operation
electron beam excites atoms in sample that emit background & characteristic X-rays
electron beam can be moved (rastered) across sample by lenses and reflected/backscattered electrons collected to produce surface map OR characteristic X-rays collected for a chemical map
Uses
quantitative chemical analysis [from characteristic X-rays] of microscopic areas (ca. 1 micron) of solids
imaging of surfaces (scanning electron mode) and chemical variation (backscattered electron or X-ray map modes)
Results = chemical composition
Wt. % elements or oxides
No direct mineral identification
Mineral Formulas
Principles & Procedures:
Balanced charge for chemical stability
For many analytical technique the number of anions is assumed in
order to balance the charge
Cations that will occupy one structural site are grouped
Cations in different sites are listed in order of decreasing CN
Calculation of Mineral Formulas from Chemical
Analyses
Anhydrous silicate minerals - example pyroxene
1. divide oxide weight % by mole weight to get mole proportions -MP
2. multiply MP by the # of cations in oxide to obtain the # of cations
3. calculate the # of oxygen by multiplying MP by the # of O in the oxide
formula, then sum to determine the total # of O
4. calculate O correction factor by dividing the total # of O desired (X) by
the actual total of O - multiply the # of each cation by the correction
factor; this yields the cations on the basis of X O [X=6 for pyroxene]
5. assign cations to mineral structural sites on basis of radius and charge
6. Repeat above for each oxide
Calculation of Mineral Formulas from Chemical Analyses
Anhydrous silicate mineral: pyroxene - Fe, Mn, Mg, Ca, Ti, Na, K, Al, Si, & O
Calculate the cations on the basis of 6 oxygen
Assign cations to specific sites
Fill tetrahedral site with Si then Al Total = 2.0
Assign inter. size cations to M1 (Al, Ti, Fe3, Fe2, Mn, & Mg
Assign remaining cations to the larger M2 site (Ca, Na, K)
The analysis contains Ca, Mg and Fe; therefore, the analysis can be cast in terms of
wollastonite, enstatite and ferrosilite end members. Simply sum the cations of these end
members and calculate the % of each.
activity models for mineral components
Graphical Representation of Mineral Compositions
Two components - linear
Three components - ternary
Four components - tetrahedron [must use projection -
graphical or mathematical]
Exsolution in Minerals
Solid solutions can become unstable as temperature or pressure changes. T is generally
the most important variable. As T decreases bonds shrink and instability of large ions
may ensue.
This can result in physical separation [exsolution] of one mineral composition or phase
from another.
Example - pyroxene
CaMg0.5Fe0.5 Si2O6 -
Mg1Fe1Si2O6
X-ray Analysis of Minerals
Application of X-rays to the study of crystals was one of the greatest advances
in crystallography. Prior to 1912, all information about crystal structure was
deduced from cleavage, optical properties, and crystal morphology. X-rays
provided the first means for crystallographers to test their hypotheses
about crystal structure.
X-rays were discovered by Roentgen in 1895, who accidentally produced them
by bombarding glass with electrons.
Electromagnetic radiation:
propagates in a straight line ca. 300,000 km/s (vacuum) or 2.998 x 108m/s
reflects [angles of incidence & reflection are equal]
refracts according to Snell’s law
diffracts at edges and around slits and gratings
E = hv = hc/delta
where E=energy; h=Planck's constant; v=frequency; c=velocity of light; delta=wavelength
X-rays are electromagnetic radiation with delta = 10 Å to 0.1 Å. X-rays used in crystallography - delta = ca. 1 Å (10-10 m or 0.1 nm)
X-ray Production
X-rays are produced in a vacuum tube which consists of an electron source [filament] and a
target of pure material [e.g., Cu, Mo etc…].
Electrons are accelerated into the target where X-rays are produced and exit the tube through
a thin Be window
Filters and slits collimate the X-rays and filter out most of the continuous spectrum
Continuous/background: this spectrum results from energy loss of electrons hitting the target -
all possible amounts of energy may be lost up to the initial energy = max energy.
delta = 12.4/V | V = kV accelerating voltage |
Characteristic: Intense peaks caused by the dislodgement of electrons in the target and
transition of electrons into the vacated orbitals
delta = c h /∆E = 12.4/∆E
c = speed of light, h = Plank’s constant
X-ray Diffraction
X-rays will be in phase only if pqr = n l
pqr = 2 pq, and
pq = d sin theta
Therefore: n delta = 2 d sin theta Bragg's Law
n is an integer, d is the distance between successive planes of atoms,
and
theta is the angle of incidence and reflection
X-ray Diffraction: The powder method
A finely-powdered sample is hit by monochromatic X-rays
assumption: the powdered sample will have randomly oriented grains
The sample is rotated through a range of 2 theta while the detector is moved in order to satisfy the Bragg law for the monochromatic X-rays
Powder X-ray Diffractometer
All ‘reflections’ with relative intensities are compared with the mineral
database in the
International Tables for X-Ray Crystallography
Result: mineral identification
No direct mineral composition data
What to know:
Definition of a mineral
Solid solution
X-rays and characteristic X-rays
EPMA & XRD principles and deliverables
Polymerization and cation coordination
silicate polymers – different types
Mineral classification
Mineral Classification
Anion or Anionic Group
Why?
Subclassification by lattice/structure or cation
Anionic Groups
Polymerization
Anionic Groups
Many minerals are best considered as lattices that are comprised of
strongly-bonded anionic groups that are linked by cations
The elemental groups have a net negative charge
Examples:
Carbonates (CO3)2- ; sulfates (SO4)2- ; phosphates (PO4)3-
Polymerization
Polymerization. Linking of cations by sharing adjacent anions. In
silicate structures, Si share O and this requires mesodesmic bonds.
Mesodesmic molecules can polymerize or link together with
identical molecules into chains, sheets, and/or 3d frameworks
Example: silicate minerals
The Si-O bonds satisfy 1/2 of the O -2 charge therefore the O atom
can link with another silicon atom
Silicate Minerals
The silica tetrahedron CN = 4
Polymerization
Orthosilicates | no shared O | olivine |
Disilicates | 1 shared O | epidote |
Ring silicates | 2 shared O | tourmaline |
Chain silicates | 2 or 3 shared O | pyroxene |
Sheet silicates | 3 shared O | biotite |
Framework silicates | 4 shared O | quartz |
Framework Silicates
4 shared O
Silica SiO2
Polymorphs - P and T dependent
Polymorph | Density |
Quartz | 2.65 g/cm3 |
Tridymite | 2.26 g/cm3 |
Cristobalite | 2.32 g/cm3 |
Coesite | 3.01 g/cm3 |
Stishovite | 4.35 g/cm3 |
Feldspar Group -- 4 shared O
Albite [Na]-Anorthite [Ca]-Potassium Feldspar [K]
Albite -NaAlSi3O8(triclinic); variety: cleavelandite
Sheet silicates
Sheet silicate minerals include a large number of
important mineral groups: clay, serpentine, talc,
mica, & chlorite
Gibbsite to Pyrophyllite -- three shared O
Muscovite -- three shared O
Chain silicates
Single or double chains of silica tetrahedron
Single – 2 shared O
Double – alternating tetrahedra 2 or 3 shared O
Pyroxene -- two shared O -- single chain: most are Ca-Mg-Fe
ternary (Ca,Mg,Fe)2Si2O6
Diopside
Amphibole -- two/three shared O -- double chain: complex Ca,Mg,Fe,Al silicate w/ OH
W0-1X[M4]2Y[M1,2,3]5T8O22(OH)2
Ring silicates
Tourmaline -- 2 shared O: complex Aluminosilicate w/ OH
Disilicates
Epidote -- 1 shared O: Fe,Ca,Al silicate w/ OH
Orthosilicates
Olivine -- no shared O: common = (Fe,Mg)2SiO4
Forsterite = Mg2SiO4
Garnet -- no shared O: aluminum garnet =
(Ca,Fe,Mg,Mn)3Al2Si3O12
Crystal Growth: stability & energy
Mineral stability
Availability of constituent atoms: aluminum garnet growth requires - Si, Al,
O, and at a minimum one of Fe, Mg, Mn, Ca
However, many minerals contain these elements. So, we must consider
stability and energy
Mineral stability
Lower energy states or configurations of a
system [rock] are more stable than higher
energy states.
By analogy consider a rock in the air, on a
cliff ledge and at the base of the cliff. In
the air the rock is unstable, on the ledge it
is metastable [requires activation energy
to dislodge], and at the cliff base ‘stable’.
Gibbs free energy [G] is a measure[energy] for evaluating chemical stability.
The units are calories or joules. G is evaluated by comparison to the
energy needed to make a material from elements - free energy of
formation - ∆Gf. At a specified T and P, the most stable mineral is that with
the lowest ∆Gf.
Minerals may be metastable. For example: in spite of predicted stability of
quartz over tridymite at STP, tridymite can be found at the surface.
Mineral Reactions
Balanced chemical reactions can be evaluated to determine the stable minerals -
reactants OR products:
∆Greaction = ∑∆Gf-products - ∑∆Gf-reactants
If ∆Greaction < 0, then the products are more stable and the reaction should proceed
forward. If ∆Greaction > 0, then the reactants are more stable and the reaction should
proceed backward. If ∆Greaction = 0 then equilibrium has been achieved and no net
reaction occurs.
Mineral Reactions-example
muscovite + quartz = orthoclase + sillimanite + water
KAl2(Al,Si3)O10(OH)2 + SiO2 = K(Al,Si3)O8 + Al2SiO5 + H2O
Phase | Gf (@T-P) |
Ms | A |
Qtz | B |
Or | C |
Sil | D |
Water | E |
∆Greaction = ∑∆Gf-products - ∑∆Gf-reactants
= (C+D+E) - (A+B)
Crystal Growth: nucleation
Homogeneous nucleation: atoms move into locations to form a small lattice
element -nucleus
Heterogeneous nucleation: atoms attach to a pre-existing mineral in such a
way that a new nucleus can form
Epitaxial nucleation
Homogeneous nucleation [crystallize from melt]:
G of transition from melt to crystal:
∆Gv = [∆Gf-xstal - ∆Gf-melt]v
where v = volume
G of surface [surface free energy]:
∆Gs = ga
where g is the surface energy per area & a is the crystal surface area
For a hexahedron with sides of length c:
∆G = ∆Gv - ∆Gs
∆Gv = [∆Gf-xstal - ∆Gf-melt]c3 + g6c2
Heterogeneous nucleation:
Epitaxial nucleation -kyanite & staurolite
Crystal Growth: Changing forms
Garnet
Crystal forms evidenced by
variation in chemical
composition which varies
spatially and temporally
Structural Defects in Minerals
Real crystals always contain significant departures from the ideal
of perfectly regular and repeating patterns of atoms.
Defects:
Reduce the strength of minerals
Increase the Gibbs free energy – decrease stability
Types of Defects
Point:
– Schottky: vacancies. In ionic crystals, charge is in some way balanced.
– Frenkel: mislocations. Ion is located in a normally empty site.
– Impurity: elements not in the chemical formula. These may be interstitial or substitutional.
Line defects: edge of a propagating slip surface where chemical bonds are broken
These can be defined with a mismatch vector or Buergers vector.
– Edge: a line formed by a half plane of atoms that terminates in the edge-
Buergers vector or dislocation direction is at right angles to dislocation
line
– Screw: Buergers vector is parallel to line
Line defects result in planes that are weaker than ‘perfect’
lattice and accommodate strain or change in shape.
– Dislocation slip & climb
– Dislocation pinning
– Diffusion
Planar defects
– Grain boundaries: In a monomineralic material, angular mismatch of
lattice across a boundary
– Stacking faults: disruption in the expected pattern of atomic layers
– Antiphase boundaries: boundary between crystal segment with a
translational relation to remainder of the lattice
Twinning
Symmetrical intergrowth of two or more crystal segments of the same mineral. Segments
are joined along a surface; therefore, it can be considered a variety of planar defect.
– Twin operations: symmetry operations relating the crystal segments.
– Twin laws: symmetry and orient. of crystal plane or axis
– Composition surface: surface separating the crystal segments
Twin types
– Penetration: twins with irregular composition surface
– Simple: two twin segments
– Multiple: three or more twin segments
– Polysynthetic: multiple twins with parallel composition planes
– Cyclic: multiple twins related by rotation axis
Twinning:
Growth-growth mistakes?
Transformation-cooling
Deformation-change in shape from stress
Mineral Classification
Minerals are classified based on anion or anionic group
Minerals with the same anion (or group) have similar
crystallography and chemical properties, and occur in similar
chemical (geological) environments.
So, chemical (anion) primary and lattice structure secondary
Tectosilicate Lattices
Tecto-/Framework silicates - silica
group, feldspars, zeolites
Define
1. polymerization
2. Tectosilicate
3. Phyllosilicate
Continuous framework of Si tetrahedra all sharing 4 O with adjacent Si cations
Si/O = ½
Mesodesmic Each Si satisfies ½ O2- charge
Silica Group: Polymorphs of SiO2
Very limited substitution of impurities
Quartz -SiO2
– Hexagonal [trigonal]
– 3-fold symmetry is characteristic of quartz
– Occurs in many igneous, metamorphic, & sedimentary rocks, and is the
most common mineral in hydrothermal and metal-bearing bearing veins
– Uses: gemstone and ornamental, sand, mortar, concrete, manufacture of
glass and brick, powdered form in porcelain, paints, sandpaper, and
soaps, lenses for optical instruments, radio oscillators to permit
transmission and reception, digital watches
-Polymorphs of SiO2: tridymite, cristobalite, coesite, stishovite
– Some “gem” crystalline forms of SiO2: smoky quartz, amethyst, & rose quartz
– Microcrystalline SiO2: chalcedony (pale fibrous variety), Agate (layered
alternating bands), Carnelian (red-orange chalcedony), and Onyx (straight
alternating layers)
– Granular varieties include: Flint, Chert, & Jasper
– Hydrated SiO2 = opal, SiO2 nH2O
Feldspars
– The most common mineral group in Earth’s crust; accounts for ca. 60% of the continental crust
-Alkali Feldspar 1 to 1 solid solution
Na1+ - K1+
-Plagioclase coupled solid solution –
charge balance
Si 4+Na1+ - Ca2+Al3+
-Ternary solid solution and immiscibility
Plagioclase Feldspars
– Triclinic – bar1
– Complete solid solution [high T]: albite to anorthite
– What type of substitution allows this solid solution?
– Distinguished from other feldspars by the common presence of albite
twin striations-polysynthetic
– Used commercially in ceramics
Albite NaAlSi3O8
Commonly found in granites, rhyolites, and pegmatites
Sometimes shows opalescence, known as moonstone
Anorthite CaAl2Si2O8
Found in low Si and high Fe+Mg volcanic and contact metamorphic deposits
Example - Labradorite An50-60
Common in gabbro and basalt; major constituent of the rock -anorthosite
Often shows a fine iridescent play of colors
Alkali Feldspars
• Three Polymorphs: sanidine, orthoclase, & microcline
• Complete solid solution - high T: Potassium feldspar to
albite
Orthoclase KAlSi3O8
Monoclinic 2/m
Short prismatic crystals; commonly cleavable to granular masses
Common Carlsbad penetration twins, characterized by right-angle cleavage and lack of twin striations on the best cleavage surfaces
Major constituent of granite, granodiorite, and syenite
Sanidine KAlSi3O8
Monoclinic 2/m
Short prismatic crystals
Carlsbad penetration twins, right-angle cleavage and lack of twin striations on the best cleavage surfaces
Major constituent silica rich volcanic rocks – often a phenocryst
Microcline KAlSi3O8
Triclinic
Habit, crystal forms, and twinning same as orthoclase
Distinguished from orthoclase by the presence of “tartan” twinning, not seen in orthoclase
Prominent constituent of igneous rocks
Used in the manufacture of porcelain
Feldspathoids
–minerals containing about 2/3 the amount of
silica crystallize from a silica deficient magma;
tend to form from melts rich in alkalis
Leucite KAlSi2O6
Tetragonal [pseudoisometric]
Usually in trapezohedral crystals
Abundant in alkali rich silica poor lavas
Sodalite Na8(AlSiO4)6Cll2
Isometric
Commonly massive; usually dodecahedron crystals
Identified by blue color
Zeolites
Hydrous framework aluminosilicates, containing Na, Ca, and or K
Chain [natrolite] or sieve structures [chabazite]
Commonly fibrous or massive
Hexagonal, orthorhombic or monoclinic
Soft and low SG
Occurrence:
• Cavities and veins in mafic igneous rocks
• Also altered volcanic tuff and glass
Properties
• Name from Greek –boil and stone, fuse and swell on heating

• Readily dehydrated and rehydrated
Uses
• Dessicants –remove water from hydrocarbons
• Molecular sieve –absorb some hydrocarbons
The zeolite mineral mordenite (MOR): SiO4 tetrahedra are yellow; AlO4 tetrahedra are aqua colored.