Geo 406 Lecture 05 - Birefringence, Interference, Elongation

Reading: Ch. 5

next: pp. 53-55, 65

Goals

Understand interference colors

Learn how to tell fast and slow directions

Understand Michel-Levy chart

Understand types of extinction

Understand sign of elongation

Thickness effect

D = d (ns - nf)

quartz wedge demo

d = (ns - nf) = 0.009 (a small value)

shows change in set of transmitted wavelengths (i.e., color) with increasing retardation, D

Birefringence effect

D = d (ns - nf) = d d

can get same set of colors by varying d at constant d

 

maximum d is characteristic of mineral!

e.g., calcite d = 0.172 (a large value)

 

orientation-dependent

d (=ns-nf) ranges from 0 to a maximum

0 is looking down optic axis

Interference Color Chart

range of colors - same as quartz wedge

measuring birefringence

Interference Color Chart

Orders

Every 550 nm (≈ lblue)

Interference Color Chart

Two kinds of white

low-order

high-order

Next Lecture

How do you know which “white” you’re looking at?

Wedge effect, gypsum plate

Mineral ID features: sign of elongation, extinction type/angle

Which is the slow ray, w or e ?

Uniaxial indicatrix, conoscopic illumination

How are biaxial minerals different?

Biaxial indicatrix, conoscopic illumination

Questions to think about

How many pleochroic colors would a mineral show that stayed black in XP?

Before polarizing film, microscopes used a Nicol prism, made of two specially-cut pieces of calcite, glued together. How could you cut calcite to make this work?

 

 

Accessory plates

Tell you fast vs. slow directions

Fig. 7.21, p. 129

Can add or subtract retardation:

Gypsum plate has D = 550 nm (“l”)

Mica plate has D = 138 nm (“l/4”)

Short dimension is always slow

Accessory plates

Tell you fast vs. slow directions

Fig. 7.21, p. 129

Can add or subtract retardation:

Gypsum plate has D = 550 nm (“l”)

Mica plate has D = 138 nm (“l/4”)

Short dimension is always slow

Using accessory plates

1) Find vibration directions, using extinction

2) Rotate so vibration directions are “diagonal”

3) Insert plate

4) If colors “add”, slowmineral || slowplate, otherwise, slowmineral || fastplate

Using accessory plates

1) Find vibration directions, using extinction

2) Rotate so vibration directions are “diagonal”

3) Insert plate

4) If colors “add”, slowmineral || slowplate, otherwise, slowmineral || fastplate

Using accessory plates

1) Find vibration directions, using extinction

2) Rotate so vibration directions are “diagonal”

3) Insert plate

4) If colors “add”, slowmineral || slowplate, otherwise, slowmineral || fastplate

Using accessory plates

1) Find vibration directions, using extinction

2) Rotate so vibration directions are “diagonal”

3) Insert plate

4) If colors “add”, slowmineral || slowplate, otherwise, slowmineral || fastplate

Using accessory plates

1) Find vibration directions, using extinction

2) Rotate so vibration directions are “diagonal”

3) Insert plate

4) If colors “add”, slowmineral || slowplate, otherwise, slowmineral || fastplate