UPSC MainsGEOLOGY-PAPER-II201220 Marks
Q10.

Show how you determine the pleochroic scheme of a biaxial mineral.

How to Approach

This question requires a detailed understanding of optical mineralogy. The approach should involve explaining pleochroism, biaxial minerals, and the methods used to determine the pleochroic scheme. The answer should cover the concepts of extinction angles, interference colors, and the use of a rotating stage. A step-by-step procedure with clear explanations is crucial. The answer should also mention the different types of pleochroic schemes observed in biaxial minerals.

Model Answer

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Introduction

Pleochroism, derived from the Greek words 'pleo' (more) and 'chroa' (color), is the optical property exhibited by certain anisotropic minerals where the color changes depending on the polarization direction of light passing through them. This phenomenon arises due to the differential absorption of light along different crystallographic axes. Biaxial minerals, possessing two optic axes, exhibit more complex pleochroic behavior than uniaxial minerals. Determining the pleochroic scheme – the specific colors observed along the three principal vibration directions (X, Y, and Z) – is a crucial step in mineral identification. This process involves careful observation under cross-polarized light and systematic rotation of the mineral section.

Understanding Pleochroism in Biaxial Minerals

Biaxial minerals, unlike uniaxial minerals, have two optic axes and three principal refractive indices (nx, ny, nz). The absorption of light is different for each of these directions, leading to distinct colors observed when the mineral is rotated under cross-polarized light. The pleochroic scheme is described by assigning colors to the X, Y, and Z directions. The order of these colors is important for mineral identification.

Determining the Pleochroic Scheme: A Step-by-Step Procedure

  1. Preparation of Thin Section: A thin section of the mineral must be prepared, ideally oriented to show maximum extinction.
  2. Observation under Plane-Polarized Light: Initially, observe the mineral under plane-polarized light to determine its general color and habit.
  3. Switch to Cross-Polarized Light: Rotate the stage and analyzer until maximum extinction is achieved. This is the point where the mineral appears darkest.
  4. Identifying the X and Y Directions: The directions of maximum and minimum refractive indices (X and Y) are determined by rotating the stage. The color observed when the mineral is oriented such that the extinction is maximum corresponds to the color along either the X or Y direction. Since X and Y are perpendicular, rotating the stage 90 degrees will reveal the color along the other direction.
  5. Determining the Z Direction: The Z direction is perpendicular to the X-Y plane. To determine the color along Z, the thin section needs to be tilted. This is done by rotating the stage around its vertical axis. As the stage is tilted, the interference colors will change. The color observed when the mineral is tilted to show maximum color change corresponds to the color along the Z direction.
  6. Confirming the Scheme: Repeat the process several times, rotating the stage and tilting the section, to confirm the observed colors and their corresponding directions.

Types of Pleochroic Schemes

Biaxial minerals exhibit various pleochroic schemes, categorized based on the color variations along the X, Y, and Z directions. Some common schemes include:

  • Strong Dichroism: Significant color difference between all three directions (e.g., Hypersthene: X=dark green, Y=yellowish green, Z=brown).
  • Moderate Dichroism: Noticeable color differences, but less pronounced than strong dichroism (e.g., Augite: X=dark violet, Y=green, Z=pale yellow).
  • Weak Dichroism: Subtle color differences, often requiring careful observation (e.g., Hornblende: X=dark green, Y=light green, Z=yellowish green).
  • Isotropic Pleochroism: No color change observed with rotation, indicating uniaxial minerals.

Using the Rotating Stage and Interference Colors

The rotating stage is essential for determining the pleochroic scheme. By rotating the stage, we can observe how the interference colors change, allowing us to identify the directions of maximum and minimum absorption. The interference colors themselves are related to the thickness of the thin section and the birefringence of the mineral. However, the pleochroic colors are superimposed on the interference colors and are independent of the section thickness.

Challenges and Considerations

Determining the pleochroic scheme can be challenging, especially in minerals with weak dichroism or in sections that are not optimally oriented. Factors like grain size, alteration, and the presence of inclusions can also affect the accuracy of the determination. Careful observation, experience, and comparison with known standards are crucial for reliable results.

Conclusion

Determining the pleochroic scheme of a biaxial mineral is a fundamental skill in optical mineralogy, crucial for accurate mineral identification. The process involves a systematic approach utilizing cross-polarized light, a rotating stage, and careful observation of color changes along the three principal vibration directions. Understanding the different types of pleochroic schemes and potential challenges is essential for achieving reliable results. This technique, combined with other optical properties, provides a powerful tool for characterizing and classifying minerals.

Answer Length

This is a comprehensive model answer for learning purposes and may exceed the word limit. In the exam, always adhere to the prescribed word count.

Additional Resources

Key Definitions

Anisotropy
The property of a substance to exhibit different physical properties when measured in different directions. Minerals exhibiting anisotropy have varying refractive indices.
Birefringence
The difference between the maximum and minimum refractive indices of a mineral. Birefringence is a key property used in optical mineralogy to identify minerals.

Key Statistics

Approximately 60% of all known minerals are anisotropic and exhibit pleochroism to varying degrees (Data based on mineralogy textbooks as of 2023).

Source: Klein, C., & Dutrow, B. (2007). Manual of Mineral Science. John Wiley & Sons.

The accuracy of mineral identification using pleochroism can reach up to 90% when combined with other optical properties like interference colors and extinction angles (Based on expert opinion and laboratory studies as of 2023).

Source: Based on expert opinion and laboratory studies.

Examples

Biotite Mica

Biotite mica exhibits strong pleochroism, with colors ranging from dark brown to yellowish-green depending on the orientation of the crystal. This is a key characteristic used in its identification.

Frequently Asked Questions

What is the difference between pleochroism and interference colors?

Pleochroism is the change in color due to different light absorption along different crystallographic axes, while interference colors are produced by the interaction of light waves passing through a birefringent mineral and are related to the mineral's thickness and birefringence.