Structural Defects and Color in Minerals
Let's tie the perfection of the 3-D crystallography that we have developed into
the real world and consider some of the defects that develop in minerals in nature.
Some of these "defects" will be addressed in the context of the mineral group
that commonly exhibits the feature; i.e. polymorphs of SiO2,
twinning in feldspars. Today we will look at the basic kinds of structural defects,
introduce "light" and color, and examine the relationships among these subjects.
STRUCTURE DEFECTS
X-ray diffraction studies, Transmission Electron Microscopy, and High Resolution
TEM techniques provide direct evidence that natural minerals contain imperfections
at many scales. These structural errors may be at the unit cell scale or may
be macroscopically visible. Such structural imperfections affect basic properties
of crystalline materials such as strength, conductivity, mechanical deformation,
and color.
Qualitatively, Fig. 3.50 (p.162) shows point and line defects and a mosaic
of domains separated by defective boundaries. In 3-dimensions, such boundaries
would almost certainly be more accurately represented as plane defects. (O.H.
1)
Point Defects
- Schottky defect- cation or anion absent from its site in a structure. This
needs to be compensated for by either other defects of the opposite charge
or the addition of charged species (like an electron). (Fig. 3.51, p. 163;
O.H. 2)
- Frenkel defect- absence of an ion from its proper site but its location nearby in an interstitial site. More common for a cation because of its usual smaller size.
- Impurity defect- addition of an extra ion into the structure
Line Defects
- concentrations of defects along linear features - dislocation
- Edge dislocation- a plane of atoms that terminates along a line. This kind of error provides a point of weakness for deformation and the defect can migrate through the structure as a slip plane.
- Screw dislocation- errors along a screw axis that normally is not present in the structure but may be a manifestation of pseudo-symmetry or near symmetry inherently present in the space group that the mineral has crystallized within. Such spiral steps are important sites of crystal growth because they provide a good site for the addition of atoms.
Plane Defects
- 2-D zones along which slightly misoriented blocks are joined. The individual blocks may have near perfect short-range order but the crystal as a whole does not have perfect long-range order.
- Stacking fault- HCP interrupted by CCP for example- more when we talk about polymorphs and polytypes in the next few weeks.
COLOR
Jill Banfield teaches an entire course on Gem Minerals and also has a lecture
on color. I have linked this lecture to a number of the images from Geology
306. Geol 306 - Gems
Lecture on Color
Our perception of color in minerals depends on the type of illumination, the mineral itself, and the human eye. Incandescent, fluorescent and sun light are the most common sources and all have different spectral signatures and thus minerals may look different.
Light: electromagnetic
radiation that we can see; very small portion of the total range of possible
wavelengths (energy). The shorter the wavelength, the higher the energy. Visible
runs from about 375 to 740 nm. We perceive different wavelengths as different
colors. (O.H. 1)
The human eye: light sensing portion composed of rods and cones. At
low light levels we see in shades of gray as detected by the rods which only
contain one pigment. At higher levels of illumination, the cones kick in. Each
cone contains one of 3 fundamental pigments with maximum absorption in the red,
blue or green. Our brain integrates these signals and arrives at an average
color. Our eye is not equally sensitive to each of these colors- it is most
sensitive to green wavelengths. (This coincides with the peak solar radiation
and is therefore an evolutionary development.) (Draw)
Light and matter: Interactions include reflection, refraction, scattering, diffraction, absorption and transmission. Part of the energy of the absorbed light can then be emitted as fluorescence. We will see examples of all of these mechanisms during the systematic mineralogy portion of the course.
Main categories of interactions leading to color
- dispersed metal ions - perhaps easiest to understand: single atoms
- charge-transfer phenomena: small groups of atoms
- color centers: small groups of atoms
- band theory: large clusters of atoms
- physical optics - scattering, diffraction: large structures
Dispersed metal ions
- an ion absorbs light of a particular energy when that energy
matches the specific amount needed to kick an outer shell electron to
a higher energy level. This wavelength is thus preferentially removed from
the spectrum and the residual is what we see. The electron normally returns
immediately to its ground state but usually does so by giving off some of
its energy as heat and the rest as electromagnetic radiation which may or
may not lie within our ability to see. If red light was absorbed (blue mineral),
then any energy loss will shift the emitted light into the infrared and it
will be invisible. In a red mineral (blue absorption), red fluorescence is
common and this process enhances the perceived red color of the mineral. (Extra:
What is wrong with the emission part of the following 1
MB QuickTime Movie cartoon?)
- the identity of the ion, the valence state, the nature of the neighboring ions and the coordination of the site all effect the absorption capacity of a dispersed metal ion in a mineral. Pleochroism in minerals is caused by different absorption characteristics in different crystallographic directions.
Ex.: Different impurities in a single host mineral can produce different
colors, for example beryl.
- Aquamarine = blue
: Fe++
- Heliodor = golden
: Fe+++
- Morganite = pink
: Mn++
- Red beryl = red
: Mn+++
- Emerald = green
: Cr+++
Ex.: The same impurity in different minerals may cause different colors:
rubies (red
corundum) and emeralds (green
) both owe their colors to Cr+3 in octahedral coordination. The color difference
is in the exact position of the absorption band and this hinges on the details
of the coordination (shorter mean Cr-O bond in corundum). The absorption
spectra show the details of these differences.
(Summary O.H. 3)
Charge-Transfer
- when an electron jumps from one atom to another (O.H. 4)
- - oxygen to metal ion
- - cation-cation intervalence charge transfer (Fe+2 - Fe+3)
- Aquamarine
beryl requires red light to move an electron from Fe++ to Fe+++.
- Deep
blue of sapphire requires red light to cause Fe++ and Ti4+ <-> Fe+++ and
Ti+++
Color Centers
- commonly a result of irradiation by natural or synthetic means
- - radiation can change the oxidation state of metal ions
- - interact with defects in the crystal i.e. missing atoms green
diamonds or additional interstitial atoms
- - the removed electron can find a home in one of the defects
- smoky
quartz is formed by removing an electron from an Al ion that had substituted
for a Si. Heating allows the electrons to come home and the smoky color will
disappear. (O.H. 1)
- amethyst is formed when Fe+3 substituting for Si is ionized to Fe+4 by radiation. The deep purple color is due to O-2 -> Fe+4 charge transfer which is centered in the yellow-green portion of the spectrum.
- sodalite (hackmanite): electron in Cl- hole in a Na tetrahedron (in
class Demo) (Summary O.H. 4)
Band Theory
Electrons that can be delocalized over the entire crystal; into an electronic
energy band composed of many closely spaced energy levels. There are 2 bands in
such materials, a low energy valence band that is fully populated and a high energy
conduction band that is normally empty. 3 end-member scenarios exist:
- If the band gap is greater than the maximum energy of visible light
then no transitions occur, no visible absorbance occurs and the mineral is
transparent. Such minerals are inherently electrical insulators. (O.H. 5)
- If the gap is less than the energy of violet light, the high energy end of the spectrum tends to be absorbed leaving the red- this is the cause of the red color of cinnabar.
- If the gap is less than all the energies represented by visible light
then the whole spectrum is absorbed. The mineral commonly appears black and
opaque. All metals have this property (or no gap at all). Metals appear shiny
(metallic luster) because the electrons quickly return to their original energy
level, emitting the same energy they absorbed. In cases where some wavelengths
are absorbed emitted more efficiently than others, a color is produced (gold
vs platinum).
- Nitrogen in diamonds -> yellow
- Boron in diamonds -> blue
Physical Phenomena
- interference caused by thin films - pearls
- diffraction: caused by regular 'layers' on the scale of the wavelength of light - opal
- 250nm spheres diffract red light
- spheres down to 140nm diffract the other colors
- scattering: (Rayleigh) from particles smaller than the wavelength of light: reason the sky is blue during the day and red at sunrise and sunset (blue is scattered more efficiently than red)
- opalescence caused by spheres too small to diffract
(Summary O.H. 4)