Weiss Index along Y-axis using Miller Indices Calculator

Formula Used:

\[ b = \frac{LCM_w}{k} \]

Weiss Index along y-axis:

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1. What is Weiss Index along Y-axis?

Definition: The Weiss Index along y-axis gives an approximate indication of a face orientation with respect to the crystallographic y-axis.

Purpose: It helps in crystallography to understand and describe the orientation of crystal faces.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ b = \frac{LCM_w}{k} \]

Where:

\( b \) — Weiss Index along y-axis
\( LCM_w \) — Least common multiple of Weiss indices a, b, c (along x, y, z axes)
\( k \) — Miller Index along y-axis

Explanation: The LCM of Weiss indices is divided by the Miller index along the y-axis to obtain the Weiss index for that axis.

3. Importance of Weiss Index Calculation

Details: Proper calculation of Weiss indices is essential for accurate crystal face description and understanding crystal symmetry.

4. Using the Calculator

Tips: Enter the LCM of Weiss indices and the Miller index along y-axis. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between Weiss and Miller indices?
A: Weiss indices are the reciprocals of Miller indices multiplied by a common factor (LCM).

Q2: How do I find the LCM of Weiss indices?
A: The LCM is the least common multiple of the Weiss indices a, b, and c for the three crystallographic axes.

Q3: Can Weiss indices be fractional?
A: Yes, Weiss indices can be fractional values, especially when derived from Miller indices.

Q4: What's the difference between Weiss and Miller indices?
A: Weiss indices use direct intercepts while Miller indices use reciprocals of intercepts with fractions cleared.

Q5: Why is the y-axis specifically important?
A: While the formula can be applied to any axis, the y-axis is often used as a reference in crystallographic calculations.