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Week 8: March
6 and 8
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COLOR (continued)
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Causes of absorption of certain wavelengths
of light
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First, need to know that:
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Each wavelength of light (l)
corresponds to some energy (E). The relationship is given by: E = hc/l,
where h is Planck's constant and c is the speed of light. (Shorter wavelengths
correspond to higher energies.)
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Electrons can have different energy levels.
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The key: If the energy difference between
two energy levels that an electron may occupy corresponds to the energy
of a certain wavelength of light, then that wavelength will be absorbed.
(However, note that if the electron drops down to the original energy level,
the same wavelength will be re-emitted and no net absorption occurs. We
need at least three energy levels for the electron to occupy so that the
wavelength absorbed during the jump from level 1 to 3 is not equal to the
wavelength emitted during the drop from 3 to 2 and 2 to 1. In this case,
a net absorption of a particular wavlength occurs. If the emitted wavelengths
are in the visible light range, then fluoresence of that color occurs.)
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Crystal Field Transitions - electron
transitions between partly filled 3d orbitals of transition elements (Sc,
Ti, V, Cr, Mn, Fe, Co, Ni), called the "chromophores".
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in an isolated state, the five 3d orbitals
have the same energy levels; no absorption occurs
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But in a crystal lattice, the coordination
of the transition element causes the "splitting" of the energy levels leading
to different energy levels between the various 3d orbitals. (The uneven
distributiojn of the coordinating anion's electron clouds and the 3d orbitals
causes some of the 3d orbitals to have higher energies.)
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example 1: In olivine, (Mg, Fe)2[SiO4],
the Fe+2 is in octahedral coordination with O, which leads to
diffrences in energy levels of the 3d orbitals of Fe that absorb red, and
net yellow green color is observed.
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example 2: In almandine garnet, Fe3Al2[Si3O12],
the Fe+2 is in cubic coordination with O. This leads to energy
level differences that lead to a net emission of a red color.
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Other examples: Cr+3 in ruby causes
red color; Cr+3 in emerald causes green color
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Molecular orbital transitions ("Charge
transfer transitions") - electrons "jumping" from one ion to another absorb
certain wavelengths.
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example 1: electrons jumping between Fe+2
and Fe+3 cause the blue color in the mineral glaucophane.
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example 2: electron transfer between (Fe+2,
Fe+3) and (Ti+3, Ti+4) causes the blue
color of sapphire.
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Color Centers - coloration due to structural
defects
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example 1: In fluorite, CaF2, there
may be a shottky defect where a F ion is missing. In place of the F there
may be an electron to maintain charge balance. This electron can have several
energy levels and the transitions of the electron between the levels causes
the purple color of fluorite.
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example 2: In amethyst, a variety of quartz
(SiO2), an Fe+3 may be present. Irradiation may knock
off one of the electrons from one of the oxygen ions coordinated with the
Fe ion. The ramaining valence electron again may have several E states,
and transitions of the electron between the E levels causes a net absorption
of certain wavelength and the purple color of amethyst.
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Note: In all the above causes, there is some
condition that leads to multiple vacant energy levels that an electron
may occupy. Transitions of the electron from lower to higher energy levels
requires absorption of certain energies (wavelengths) of light. Then when
the electron(s) drops back to a lower energy level, different wavelengths
are emmitted (that may or may not be visible). The result is a net absorption
of a certain color (wavelength of light). What we see is white light minus
that absorbed color (with the addition of possible fluoresence of other
colors).
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Color may also be caused by interference
of light - as light is reflected off of a surface. With layers that have
a thickness on the order of the wavelength off light one can get constructive
and destructive interference of certain wavelengths of light as it
is reflected off the upper and lower interface of the layer (depending
on the thickness of the layers and the angle that the light strikes the
surface). This is the cause of color in:
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some plagioclases - some plagioclases that
have fine exsolution lamellae (only those formed in really slowly cooled
plutons) exhibit a play of colors known as "labradorescence". The thickness
of the exsolution lamellae is on the order of the wavelength of light.
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Opal - ("opalesence") opal consists of layers
of spheres of silica. The layers have the appropriate thickness for interference
of light.
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(Oil slicks - the layer of oil on the water
is the right thickness.)
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(Color in soap bubbles - the thickness of
the soap bubble wall is the right thickness.)
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LUSTER - The quality and appearance
of light reflected off a mineral surface.
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metalic luster - most light is reflected;
hence mineral is opaque.
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non-metallic luste - vitreous, resinous,
pearly, greasy, silky, adamantine, earthy, dull
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STREAK - the color of the powdered
mineral. The streak is not necessarily the same as the unpowdered mineral.
This is because the streak tends to emphasize the reflected light color,
rather than the transmitted light color.
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FLUORESCENCE - emission of visible
light during exposure to eletromagnetic radiation such as ultraviolet light
or x-rays. Electrons absorb the incident radiation by jumping to higher
energy levels then emit visible radiation as they drop down (in steps)
to the ground state again.
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PIEZOELECTRCITY - the property of some
minerals to generate a voltage when they are deformed (and alternatively,
to deform if a voltage is applied to them). Exhibited only by minerals
that lack a center of symmetry. An example is quartz.
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MAGNETIC PROPERTIES - Caused by the
presence of elements with orbitals with unpaired electrons; the magnetic
field produced by the spin of the lone electron is not cancelled by the
opposite spin of another electron.
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diamagnetic - essentially non-magnetic;
all orbitals have paired electrons. Examples - quartz feldspars
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paramagnetic - can be temporarily magnetized
in the presence of an external magnetic field. The magnetic dipoles are
normally randomly oriented. (Examples - olivine, pyroxenes, micas)
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ferromagnetic - all dipoles are parallel;
magnetism is retained (but lost above the Curie temperature). (Example
- metallic iron)
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ferrimagnetic - dipoles are antiparallel
but unequal giving a net magnetism that is permanent below the Curie point.
(Example - magnetite)
(END OF PHYSICAL PROPERTIES)
Mineralogy
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