1. What is Miller Index along Y-axis?

Definition: The Miller Index along y-axis (k) is part of a notation system in crystallography for planes in crystal (Bravais) lattices along the y-direction.

Purpose: It helps crystallographers and materials scientists describe and analyze crystal planes and directions.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( k \) — Miller Index along y-axis
• \( a \) — Weiss Index along x-axis
• \( b \) — Weiss Index along y-axis
• \( c \) — Weiss Index along z-axis
• \( \text{lcm} \) — Least Common Multiple function

Explanation: The LCM of all Weiss indices is divided by the Weiss index along y-axis to get the Miller index along y-axis.

3. Importance of Miller Indices

Details: Miller indices are essential for describing crystal planes, understanding material properties, and predicting material behavior under different conditions.

4. Using the Calculator

Tips: Enter the Weiss indices along x, y, and z axes as positive integers. The calculator will compute the corresponding Miller index along y-axis.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between Weiss and Miller indices?
A: Weiss indices are the reciprocals of intercepts, while Miller indices are the smallest integers having the same ratio as Weiss indices.

Q2: Why do we use LCM in this calculation?
A: LCM helps convert Weiss indices to Miller indices by finding the smallest common multiple that eliminates fractions.

Q3: Can Weiss indices be zero?
A: No, Weiss indices must be positive integers as they represent intercepts with crystallographic axes.

Q4: How are Miller indices used in materials science?
A: They're used to describe crystal planes, predict cleavage planes, analyze diffraction patterns, and understand material properties.

Q5: What if my Weiss indices have common factors?
A: The calculator will automatically reduce them to the simplest form through the LCM calculation.