Optical Mineralogy Part II Quiz

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Questions and Answers

What happens to a birefringent crystal section during a full rotation between crossed polarizers?

  • It only shows dark images.
  • It remains consistently bright.
  • It shows colors in every position.
  • It alternates between bright and dark images. (correct)

How many extinction positions are observed during a complete rotation of a birefringent crystal?

  • Three extinction positions.
  • Six extinction positions.
  • Two extinction positions.
  • Four extinction positions. (correct)

What are the orientations of maximum brightness in a birefringent crystal referred to as?

  • Extinction positions.
  • Polarized orientations.
  • Diagonal positions. (correct)
  • Birefringent positions.

What is indicated by the periodic change between bright and dark images in a birefringent crystal?

<p>Birefringence effect. (C)</p> Signup and view all the answers

What is the function of the analyzer in the crossed-polarizers mode?

<p>To produce polarizing effects. (B)</p> Signup and view all the answers

During the observation of a crystal, how many bright images are seen in between the extinction positions during rotation?

<p>Four bright images. (B)</p> Signup and view all the answers

What can be identified as the principal observable behavior of birefringent crystals under polarized light?

<p>Periodic extinction and emergence of brightness. (D)</p> Signup and view all the answers

What is the significance of crossed polarizers in optical mineralogy?

<p>To observe birefringence and interference effects. (D)</p> Signup and view all the answers

What phenomenon generates interference colors in a colorless anisotropic crystal?

<p>Polychromatic light (D)</p> Signup and view all the answers

At which retardation range do black and grey color tones dominate in interference colors?

<p> = 0 - 200 nm (B)</p> Signup and view all the answers

Which interference color is noted at a retardation of 551 nm?

<p>First-order red (B)</p> Signup and view all the answers

With increasing retardation, what happens to the intensity of interference colors?

<p>They fade towards white (C)</p> Signup and view all the answers

What is the result of using shorter wavelengths in the interference spectrum at a retardation of 600 to 650 nm?

<p>Appearance of blue interference color (A)</p> Signup and view all the answers

Which factor does NOT influence the accumulated retardation of waves in a crystal?

<p>Temperature of the environment (A)</p> Signup and view all the answers

What did Michel-Lévy publish in 1888 regarding interference colors?

<p>A graphical representation of retardation effects (A)</p> Signup and view all the answers

Which hue is common as one progresses through the Michel-Lévy interference color sequence?

<p>Alternating greenish and reddish hues (A)</p> Signup and view all the answers

What occurs when light waves are in the extinction position while observing through crossed polarizers?

<p>Waves pass through without changing vibration direction (B)</p> Signup and view all the answers

What happens to E-W vibrating waves when the crystal is rotated out of the extinction position?

<p>They get split into two orthogonal waves (D)</p> Signup and view all the answers

In the context of birefringence, what is the retardation (Δ) defined as?

<p>The difference in the refractive indices of the waves (B)</p> Signup and view all the answers

What occurs in case A, when the retardation corresponds to a phase shift of zero or whole multiples of λ?

<p>Destructive interference occurs (A)</p> Signup and view all the answers

What factors determine the retardation (Δ) in the thin section of a mineral grain?

<p>Thickness, birefringence, and angles of incidence (B)</p> Signup and view all the answers

In the formula for retardation, which variables represent the two different wave velocities?

<p>Vslow and Vfast (A)</p> Signup and view all the answers

What is the effect of birefringence on the propagation of light in an anisotropic mineral?

<p>It leads to the generation of distinct wave paths (C)</p> Signup and view all the answers

If the retarded waves described are only affected by the air, which equation best describes the relationship?

<p>$, Δ = d(V_{air}/V_{slow} - V_{air}/V_{fast})$ (B)</p> Signup and view all the answers

What causes different grains of the same mineral to show different interference colors?

<p>Different light wavelengths interacting with the minerals (B)</p> Signup and view all the answers

How is light described when passing through a thin section of rock?

<p>Light vibrates in many phases and wavelengths (B)</p> Signup and view all the answers

In what orientation does light vibrate as it interacts with the minerals in a thin section?

<p>Primarily in an East-West direction (A)</p> Signup and view all the answers

Which type of light is used in examining thin sections of rocks?

<p>Unpolarized light (B)</p> Signup and view all the answers

What is the primary factor that allows us to distinguish different interference colors in rock sections?

<p>The interaction of light with mineral thickness variations (A)</p> Signup and view all the answers

Why might the interference colors appear differently when viewed from various angles?

<p>Light refraction varies with different viewing angles (B)</p> Signup and view all the answers

What effect do multiple phases of light have when interacting with minerals in a thin section?

<p>They enhance the colors of the minerals (A)</p> Signup and view all the answers

Which characteristic of a mineral does NOT contribute to its interference color?

<p>The ambient temperature of the environment (D)</p> Signup and view all the answers

What is the primary optical behavior of isotropic minerals?

<p>Their optical properties are identical in all directions. (C)</p> Signup and view all the answers

What causes minerals to become extinct every 90º of rotation in crossed polarizers?

<p>The principal vibration directions align with polarizer orientations. (B)</p> Signup and view all the answers

What is an extinction angle (EA) used for?

<p>To characterize monoclinic and triclinic minerals. (C)</p> Signup and view all the answers

During the rotation of a birefringent crystal section, how many extinction positions occur in a full rotation?

<p>Four (C)</p> Signup and view all the answers

What happens to E-W vibrating plane-polarized light waves when passing through isotropic materials?

<p>They maintain their E-W orientation. (C)</p> Signup and view all the answers

How does the optical behavior of anisotropic minerals differ from isotropic minerals?

<p>They exhibit varied optical properties based on light direction. (D)</p> Signup and view all the answers

What is the significance of the four bright images observed during the rotation of birefringent crystals?

<p>They are points of maximum brightness in the birefringent material. (A)</p> Signup and view all the answers

Which of the following statements about crossed polarizers is correct?

<p>They allow for the observation of extinction in mineral grains. (B)</p> Signup and view all the answers

What occurs when the retardation corresponds to an integer number of wavelengths?

<p>Light is blocked by the analyzer. (A)</p> Signup and view all the answers

Which condition corresponds to maximum constructive interference?

<p>The retardation is an odd-number multiple of l/2. (B)</p> Signup and view all the answers

What happens when the retardation is a half-integer of wavelengths?

<p>Light passes through the analyzer at full intensity. (B)</p> Signup and view all the answers

What does apparent birefringence refer to?

<p>Difference in refractive index between two rays. (B)</p> Signup and view all the answers

What is the result of maximum birefringence and retardation when the c-axis is parallel to the stage?

<p>Light exhibits maximum intensity. (B)</p> Signup and view all the answers

What effect does white light have on the observation of interference colors?

<p>A spectrum of wavelengths is visible. (D)</p> Signup and view all the answers

What occurs when retardation is perpendicular to the c-axis of the crystal?

<p>Light is transmitted without any birefringence. (A)</p> Signup and view all the answers

Which statement is true regarding the components of polarized light when retardation is an integer number of wavelengths?

<p>Components resolve parallel to the original direction. (D)</p> Signup and view all the answers

What is the function of retardation in the context of birefringence?

<p>It reflects the speed difference between the two rays. (A)</p> Signup and view all the answers

What is the impact of thickness on birefringence and retardation?

<p>Thickness affects the retardation in thin sections. (A)</p> Signup and view all the answers

Flashcards

Optical Mineralogy

The study of minerals using optical methods, particularly polarized light microscopy.

Plane-Polarized light

Light waves vibrating in a single plane.

Crossed-Polarizers

Two polarizers with their axes oriented perpendicular to each other, used in microscopy.

Extinction

The rotation of a birefringent crystal section between crossed polarizers resulting in a periodic change between dark and bright images.

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Birefringence

The property of a material to refract light differently in different directions.

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Refractive Index

Measures how much light slows down when passing through a material.

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Interference Figures

Patterns of light and dark created by light interference when a mineral is viewed between crossed polarizers

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Diagonal Positions

Four specific orientations in which a crystal exhibits maximum brightness when viewed between crossed polarizers

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Extinction Position

The orientation of a crystal where light waves passing through it aren't split and appear black.

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Retardation

The difference in the optical path lengths traveled by the two refracted light rays.

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Destructive Interference

The cancellation of light waves resulting from opposite directions of vibration.

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Anisotropic mineral

Mineral with different refractive indices in different directions.

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Optically Uniaxial

Light passing through has only two refractive index values.

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Phase Shift

Difference in the arrival time of the two rays, leading to the interference and cancellation of light

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What is retardation?

The distance separating the two polarized light rays after passing through a birefringent material.

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What is birefringence?

The property of a material to refract light differently in different directions, causing the two polarized light rays to travel at different speeds.

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How does retardation relate to birefringence?

Retardation is directly proportional to birefringence and the thickness of the birefringent material.

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What happens to light when retardation is an integer number of wavelengths?

The two polarized rays are in phase, leading to maximum constructive interference. All light is blocked by the analyzer, resulting in darkness or extinction.

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What happens to light when retardation is a half-integer of wavelengths?

The two polarized rays are out of phase, leading to destructive interference. All light passes through the analyzer.

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What causes interference colours?

White light, containing a spectrum of wavelengths, interacts with a birefringent material, causing different wavelengths to interfere constructively or destructively. This results in specific colors being transmitted or blocked, creating interference colors.

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How does the orientation of the crystal's optic axis affect birefringence and retardation?

Birefringence and retardation are maximum when the optic axis is parallel to the stage, and minimum when it's perpendicular to the stage. Intermediate orientations have intermediate values.

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What is the standard thickness of a thin section?

Ideally, thin sections used in optical mineralogy are 0.3 mm thick. However, errors can occur, leading to variation in thickness.

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What is the purpose of an analyzer in polarized light microscopy?

The analyzer, a second polarizer, is used to analyze the polarized light after it passes through the birefringent material. It blocks or transmits light depending on the retardation and the orientation of the analyzer relative to the polarized light.

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How are interference colours related to retardation?

Each specific retardation value corresponds to a unique set of interference colors observed in white light. This relationship allows us to identify minerals based on their retardation and the resulting colours.

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Interference Colour

The colour produced when light waves interfere with each other after passing through a birefringent crystal.

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Retardation (Δ)

The difference in the optical path length travelled by two light waves passing through a birefringent crystal.

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First-Order Red

The distinctive purple colour at 551 nm retardation, where intermediate wavelengths are filtered out, leaving red and blue.

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Michel-Lévy Colour Chart

A chart that shows the relationship between retardation, crystal thickness, and interference colours.

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Colour Orders

The sequence of interference colours, subdivided based on the distinctive purplish reds (551 nm intervals).

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High-Order White

The pale white colour produced at high retardation, where interference colours fade.

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Birefringence (δ)

The difference in refractive indices between two directions in a crystal.

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Standard Thickness

The defined thickness of thin sections (usually 25 or 30 µm) used for optical mineral identification.

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Why Different Colors?

Different grains of the same mineral show different interference colors because they have different orientations within the thin section, leading to variations in the amount of light retardation.

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Polarized Light

Light waves vibrating in a single plane, used in optical mineralogy to analyze mineral properties.

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Unpolarized Light

Light waves vibrating in all directions.

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Light Path

The route light takes through a mineral, including the direction it enters and exits.

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Extinction Angle (EA)

The angle between a mineral's vibration direction and a reference feature (crystal edge, cleavage, twin plane) in a thin section.

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What causes minerals to appear bright under crossed polarizers?

When a mineral is anisotropic, its refractive indices differ for different light directions. This causes a phase shift between the two polarized rays, leading to constructive interference and bright colors.

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How does the rotation of the stage affect the appearance of an anisotropic mineral?

Rotating the stage changes the alignment of the mineral's vibration directions relative to the polarizers. This causes periodic changes in light intensity, resulting in alternating bright and dark images.

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What is the significance of extinction positions?

Extinction positions indicate the alignment of the mineral's vibration directions with the polarizer's axes. By observing these positions, we can determine the optical properties and identify the mineral.

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How are extinction angles used to characterize minerals?

Extinction angles are particularly useful for characterizing monoclinic and triclinic minerals. These minerals have a unique alignment of their vibration directions, which affects their extinction angles.

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Study Notes

Optical Mineralogy Part II

  • Optical mineralogy studies the identification of minerals using light
  • The process involves different types of light, including plane-polarized light and crossed-polarized light
  • Different observations are made with varying light types, enabling mineral identification
  • The different aspects of light passing through the mineral are observed
  • The nature of light, shape, cleavage, relief, refractive index, colour, absorption scheme, interference of light, extinction, twinning, birefringence, and indicatrix are observed
  • Petrological microscope is used for observations
  • Mineral identification is the main goal

Observation with Analyzer Inserted (Crossed-polarizers Mode)

  • Extinction behaviour is a periodic change between bright and dark images when rotating a birefringent section between crossed polarizers
  • Four extinction positions separated by 90° each are observed
  • The maximum brightness position is called a diagonal position
  • Different extinction positions occur during a 360° stage rotation

Interference Colours

  • White light produces a full spectrum of colours when used with crossed polarizers
  • The observed colours are dependent upon retardation, crystal orientation, and wavelength
  • The colours vary with retardation and show a distinctive colour pattern
  • Different colours imply different retardation values and wavelengths
  • Interference colours are unique and characteristic of a specific mineral

Michel-Lévy Colour Chart

  • The chart shows a colour sequence using distinctive purplish reds
  • Colours change dependent on retardation
  • With increasing retardation, colours fade into a high-order white
  • The chart shows the relationship between retardation, crystal thickness, and birefringence
  • This chart was developed by Michel-Lévy

Isotropism and Anisotropism

  • Isotropic minerals display identical optical properties in all directions
  • Light waves pass unimpeded through isotropic minerals
  • They remain black in all rotations
  • Anisotropic minerals show different optical properties in various directions
  • Their optical properties change with varying light directions and rotations of the section

Extinction

  • Many mineral grains change color as the stage is rotated
  • Extinction of a mineral happens when the vibration directions are parallel to the polarizers
  • Extinction angle is the angle between vibration direction and morphological reference elements (crystal edge, cleavage, twin plane)
  • Extinction angles help characterize monoclinic and triclinic minerals

Types of Extinction and Determination of the Angle

  • Three main types of extinction exist: parallel, symmetrical, and inclined
  • Parallel extinction occurs when the vibration directions are parallel to the morphological reference direction
  • Symmetrical extinction occurs when vibration directions bisect angles between equivalent morphological reference directions
  • Inclined extinction occurs when vibration directions are at any angle to the morphological reference direction apart from 0° and 90°
  • Extinction angle is determined by stage rotations for max extinction, and the difference between two readings, provides the extinction angle measure.

Parallel Extinction

  • All uniaxial minerals exhibit parallel extinction
  • Orthorhombic minerals also exhibit parallel extinction (crystal and indicatrix axes coincide)

Extinction Angle

  • Extinction angle is a function of the relationship between the orientation of the indicatrix and the crystallographic orientation
  • The angle between a vibration direction and the morphological reference element (crystal edge, cleavage) in a crystal section is referred to as the extinction angle.

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