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Birefringence and Extinction. If an optic axis of an anisotropic mineral is vertical (ie parallel to the propagation direction of the light in your
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1. Geology 2142 Extinction and Extinction Angles and the Sign of Elongation
2. Birefringence and Extinction If an optic axis of an anisotropic mineral is vertical (ie parallel to the propagation direction of the light in your ‘scope)
C is equal in all direction
The mineral is dark
If the optic axis is NOT vertical
All anisotropic minerals go dark every 90° of stage rotation
They go into extinction
3. Extinction Extinction happens when the vibration directions of the light passing through the mineral are parallel to the vibration directions of both the upper and lower polarizer
No vector component of the incident plane polarised light can be resolved into the mineral vibration direction that is parallel to the upper polariser
4. Extinction - 2 This means that all the E-W vibrating light from the lower polariser passes through the mineral and exits with the same E-W vibration direction
Light with an E-W vibration direction is completely absorbed by the N-S oriented analyser and the mineral goes dark
5. Extinction Angles We can measure the extinction angle ie. The angle between a cleavage (or direction of elongation) and extinction
A useful tool in identification of some minerals
Micas always have parallel extinction
Clinopyroxenes have inclined extinction
Orthopyroxene has straight extinction in prismatic sections
6. Cleavage Cleavage appears as straight lines or cracks in thin section
When describing cleavage:
Number of cleavage planes
Orientation to outer shape of crystal (if any)
Angle between planes if more than one
Pervasiveness (ie is it found inall the crystals?
8. Cleavage
9. Types of Extinction Parallel
Mineral dark parallel to cleavage
Biotite, muscovite
Inclined
Mineral extinct at some angle to cleavage
Clinoamphibole, clinopyroxene
Symmetrical
Go extinct at angles symmetrical with cleavage
Calcite
10. Categories of Extinction
11. Muscovite (ppl) This section consists of tabular muscovite grains in a matrix of anhedral quartz
The photo makes it appear as if muscovite has lower relief than quartz – this is an optical illusion.
Muscovite shows its perfect basal cleavage in this image
Also it is non-pleochroic
12. Muscovite (xpl - extinct) In this section you can see the high order interference colours of muscovite
Most grains show second order colours though the small grain on the far right shows typical third order
The muscovite grain in the center is showing the typical parallel extinction
13. Muscovite (xpl, max birefringence) The grain in the center is now showing its maximum interference colour – second order red on one side of the twin plane and second order yellow on the other
14. Hornblende (E-W, ppl) Typical long sections of green hornblende in ppl
The one in the middle shows one extreme of pleochroism
None of the sections show the typical cleavage intersection but all show one cleavage
15. Hornblende (N-S, ppl) Notice the distinct change in colour now that the stage has been rotated through 90 degrees
16. Hornblende (xpl) showing absorbtion Hornblende is a clinoamphibole and so has inclined extinction
Most of the grains show second order colours that are to some extent affected by the body colour of the grains
17. Pleochroism in biotite (ppl) Biotite oriented E-W showing a deep brown colour
The perfect basal cleavage is easily seen in this section
18. Pleochroism in biotite (ppl) Same grain after rotation. Note that is is now a straw yellow / brown colour
You can see the perfect cleavage planes quite easily in this picture
19. Birefrigence in biotite Biotite showing third order interference
When biotite is near extinction you will see a characteristic mottled appearance (similar to that of pyrophyllite and muscovite)
Note that like the other micas biotite shows straight extinction
20. Straight extinction in biotite
21. Orthopyroxene + olivine (xpl) Orthopyroxene showing characteristic straight extinction. Magnesian olivine shows upper second order interference colours
22. Orthopyroxene + olivine (xpl) Orthopyroxene showing first order yellow interference colours
23. Measuring Extinction Angles Rotate stage so that length or cleavage is N-S
Record angle from the stage goniometer
Rotate stage until mineral is extinct
Means that either the fast or slow ray is parallel to N-S
If already extinct then no more rotation needed
Rotate stage clockwise to extinction and record angle
The extinction angle is the difference between the two
If measured with anticlockwise rotation the extinction angle is 90°-measured value
Smaller value is the one reported
24. Measuring Extinction Angles To be diagnostic
Must specify the grain orientation
In practise we measure on the grain that shows maximum retardation
25. Sign of Elongation Some minerals have a prismatic (elongate) habit
Due to crystal structure or cleavage
Polarised light passing through elongate fragments of anisotropic grains with polarization parallel to the long dimension will not travel at the same speed as light polarised in other directions
26. Sign of Elongation Prismatic minerals divided into
Length fast
Fast wave vibrates parallel to elongation
Length slow
Slow wave vibrates parallel to long direction
CANNOT be used on minerals that form equidimensional fragments
27. Problems Easy for tetragonal and hexagonal minerals
Only one optic axis
Problematic or impossible for orthorhombic, monoclinic and triclinic minerals
28. Determining the Vibration Directions of the Light Rays When a mineral is in extinction the vibration directions must be N-S and E-W.
Use an accessory plate to figure out which ray is fast and which is slow.
Accessory plates are made of gypsum, mica or quartz.
29. Accessory Plates Gypsum, mica and quartz are anisotropic
Split light into a slow and fast ray
Plates produce a known retardation
Mounted so the slow ray vibrates across the plate
Fast ray vibrates parallel to the length of the plate
30. Accessory Plates -2 Mounted in a slot aligned NW-SE
Slow ray vibrates NE-SW
Fast ray vibrates NW-SE
31. Gypsum Plate AKA: Fullwave, 1-wavelength or quartz senstive tint or first order red.
Can be marked as gips, gyps, rot I 1l, D=550 nm or D= 537 nm.
Gives either 500 or 537 nm of retardation.
Gives a very distinctive colour in XPL.
Seen at the first to second order transition on the chart.
32. Mica Plate AKA 1/4 wavelength plate or quarter wave plate
Marked as mica, glimmer, 1/2l or D=147 nm
Gives a first order white interference colour
Produces 147 nm of retardation
33. Slow Mineral Parallel to Slow Plate Light from lower polariser enters
Split into fast and slow
Slow ray is retarded relative to the fast one
Insert accessory plate
Slow direction parallels slow direction of mineral
34. Slow Mineral Parallel to Slow Plate Slow wave retarded by an additional amount
The amount equals the retardation of the plate (Da)
Total retardation is that of the mineral PLUS that of the plate
In this case the interference colour INCREASES
35. Example Quartz: birefringence = 0.009 nm
Retardation = 270 nm
First order white interference colour
Gypsum plate retardation = 550 nm
When the fast direction of the plate and fast direction of the mineral coincide the total retardation is
270 + 550 = 820 nm
Second order yellow interference colour
36. Slow Mineral on Fast Plate Plane light enters the mineral splits into a fast and slow ray
Slow ray retarded by dm
The slow and fast ray enter the plate
The fast ray from the mineral is retarded by an amount Da
Slow wave from the mineral is not retarded
37. Slow Mineral on Fast Plate This allows the slow wave to catch up so the total retardation decreases
DT=dm-Da
Example
Quartz D=270
Gypsum D = 500
So DT=280
Gives first order white with a very weak yellow tint
38. Determination of Sign of Elongation Put mineral into extinction with the length or cleavage trace less than 45° from the N-S cross hair
Rotate stage 45° clockwise
This places the vibration direction closest to length or cleavage in the NE-SW direction
Insert accessory plate
If retardations ADD the ray with vibration closest to the length is the slow ray - LENGTH SLOW
Retardations subtract - ray with vibration closest to length is fast - LENGTH FAST