1. What is Weiss Index along Z-axis?

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

Purpose: It helps in crystallography to determine the orientation of crystal faces relative to the z-axis in the crystal lattice.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( c \) — Weiss Index along z-axis
• \( LCM_w \) — Least common multiple of Weiss indices (a, b, c)
• \( l \) — Miller Index along z-axis

Explanation: The least common multiple of Weiss indices is divided by the Miller index along z-axis to obtain the Weiss index along z-axis.

3. Importance in Crystallography

Details: Weiss indices are important for describing crystal faces and their orientations relative to the crystallographic axes.

4. Using the Calculator

Tips: Enter the LCM of Weiss indices and the Miller index along z-axis. Both values must be positive integers.

5. Frequently Asked Questions (FAQ)

Q1: What's the relationship between Weiss and Miller indices?
A: Weiss indices are the reciprocals of Miller indices when the plane doesn't intercept an axis at infinity.

Q2: Why do we need LCM of Weiss indices?
A: The LCM helps standardize the indices and find a common reference for all crystallographic axes.

Q3: What are typical values for Miller index along z-axis?
A: Miller indices are typically small integers (1, 2, 3) but can be larger for more complex crystal structures.

Q4: Can Weiss indices be negative?
A: While possible in theory, this calculator only accepts positive values for simplicity.

Q5: How precise are these calculations?
A: The calculation is mathematically exact, but actual crystal measurements may have experimental uncertainties.