Some review…Optical mineral properties ONLY visible in PPL: Color – not an interference color!. Optical mineral properties visible in PPL or XPL: Cleavage – number and orientation of cle
Trang 1Optical Mineralogy in a Nutshell
Use of the petrographic microscope in
three easy lessons
Part III
Trang 2Some review…
Optical mineral properties ONLY visible in PPL:
Color – not an interference color! (for that, see below)
Pleochroism – is there a color change while rotating stage?
Relief – low, intermediate, high, very high?
Optical mineral properties visible in PPL or XPL:
Cleavage – number and orientation of cleavage planes
(may need higher magnification and at different grains )
Habit – characteristic form of mineral (sometimes better in XPL)
Optical mineral properties ONLY visible in XPL:
Birefringence – use highest order interference color to describe
Twinning – type of twinning, orientation
Extinction angle – parallel or inclined? Angle?
Isotropic vs anisotropic minerals – 100% extinct in XPL?
uniaxial or biaxial …
Trang 3Some generalizations and vocabulary
• All isometric minerals (e.g., garnet) and glass are
are always black in crossed polars
• All other minerals are anisotropic – they are all
capable of reorienting light
• All anisotropic minerals contain one or two special
directions (the “optic axes”) that do not reorient light
– Minerals with one special direction are called uniaxial
– Minerals with two special directions are called biaxial
• Uniaxial and biaxial minerals can be subdivided into
Trang 4All anisotropic minerals can resolve light into two plane polarized components that travel at different velocities and
vibrate in planes that are perpendicular to one another
mineral grain
plane polarized light
When light gets split:
-velocity changes -rays get bent (refracted) -2 new vibration directions -usually see new colors
Trang 5Calcite experiment and double refraction
Trang 6We’ve talked about minerals as magicians -
now let’s prove it!
calcite
calcite
calcite
ca lcite
ordinary ray, ω
(stays stationary) extraordinaryray, ε
(rotates)
calcite
Trang 7Uniaxial
Biaxial
How light behaves depends on crystal structure
(there is a reason you took mineralogy!)
Isometric
– All crystallographic axes are equal
Orthorhombic, monoclinic, triclinic
– All axes are unequal
Hexagonal, trigonal, tetragonal
– All axes ⊥ c are equal but c is unique
Let’s use all of this information to help us identify minerals
Trang 8Simple guide to interference figures
• Get a good interference figure;
• Distinguish uniaxial and biaxial figures;
• Determine optic sign; and
• Estimate 2V
1) Choose a grain showing the lowest interference colors2) Move to the high-powered objective lens and refocus3) Open the sub-stage diaphragm as wide as possible4) Insert the condenser lens
5) Cross the polars
6) Insert the Bertrand lens
Trang 9Use of interference figures, continued…
You will see a very small, circular field of view with one or more
black isogyres rotate stage and watch isogyre(s)
uniaxial
If uniaxial , isogyres define
cross; arms remain N-S/E-W as
Trang 10Use of interference figures, continued…
Now determine the optic sign of the mineral:
1 Rotate stage until isogyre is concave to NE (if biaxial)
2 Insert gypsum accessory plate
3 Note color in NE, immediately adjacent to isogyre
Trang 11Remember determining optic sign last week with the gypsum plate?
530+100=630 nm = blue = (+) 530-100=430 nm = yellowish = (-) Addition = slow + slow
Trang 12Time for some new tricks: the optical indicatrix
Thought experiment:
Consider an isotropic mineral (e.g., garnet)
Imagine point source of light at garnet center; turn light on for fixed amount of time, then map out distance traveled by light in that time
What geometric shape is defined by mapped light rays?
Trang 14anisotropic minerals - uniaxial indicatrix
Trang 16Uniaxial ellipsoid and conventions:
Trang 17nω - nω = 0
therefore, δ =0: grain stays black
(same as the isotropic case)
Trang 18Grain changes color upon rotation.
Grain will go black whenever indicatrix axis is E-W or N-S
n ω
Trang 19anisotropic minerals - biaxial indicatrix
Trang 21Alas, the potato (indicatrix) can have any orientation within a biaxial mineral…
Trang 22… but there are a few generalizations that we can make
The potato has 3 perpendicular principal axes of
different length – thus, we need 3 different RIs
to describe a biaxial mineral
X direction = nα (lowest)
Y direction = nβ (intermed; radius of circ section)
Z direction = nγ (highest)
• Orthorhombic: axes of indicatrix coincide w/ xtl axes
• Monoclinic: Y axis coincides w/ one xtl axis
• Triclinic: none of the indicatrix axes coincide w/ xtl axes
Trang 232V: a diagnostic property of biaxial minerals
• When 2V is acute about Z: (+)
• When 2V is acute about X: (-)
• When 2V=90°, sign is indeterminate
• When 2V=0°, mineral is uniaxial
2V is measured using an interference figure…
Trang 24How interference figures work (uniaxial example)
Trang 25Biaxial interference figures
There are lots of types of biaxial figures… we’ll concentrate on only two
1 Optic axis figure - pick a grain that stays dark on rotation
Will see one curved isogyre
determine 2V from curvature of isogyre
determine sign w/ gyps
Trang 26Estimating 2V
Trang 272 Bxa figure (acute bisectrix) - obtained when you are looking straight down between the two O.A.s Hard to find, but look for a grain with
intermediate δ
Biaxial interference figures
Use this figure to get sign and 2V:
Trang 28Quick review:
Indicatrix gives us a way to relate optical phenomena to
crystallographic orientation , and to explain differences
between grains of the same mineral in thin section
2V z
Y
X Z
nβ
νγ
να
lo δ
Isotropic? Uniaxial? Biaxial? Sign? 2V?
All of these help us to uniquely identify unknown minerals.