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Weiss Index along Z-axis using Miller Indices Calculator

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✖The LCM of Weiss Indices is the least common multiple of Weiss indices a, b, c ,i.e, along x, y, z axes respectively.ⓘ LCM of Weiss Indices [LCM_w]			+10% -10%
✖The Miller Index along z-axis form a notation system in crystallography for planes in crystal (Bravais) lattices along the z-direction.ⓘ Miller Index along z-axis [l]			+10% -10%

✖The Weiss Index along z-axis give an approximate indication of a face orientation with respect to the crystallographic z-axis.ⓘ Weiss Index along Z-axis using Miller Indices [c]

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Weiss Index along Z-axis using Miller Indices Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weiss Index Along z-axis = LCM of Weiss Indices/Miller Index along z-axis
c = LCM_w/l
This formula uses 3 Variables

Variables Used

Weiss Index Along z-axis - The Weiss Index along z-axis give an approximate indication of a face orientation with respect to the crystallographic z-axis.
LCM of Weiss Indices - The LCM of Weiss Indices is the least common multiple of Weiss indices a, b, c ,i.e, along x, y, z axes respectively.
Miller Index along z-axis - The Miller Index along z-axis form a notation system in crystallography for planes in crystal (Bravais) lattices along the z-direction.

STEP 1: Convert Input(s) to Base Unit

LCM of Weiss Indices: 6 --> No Conversion Required
Miller Index along z-axis: 11 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = LCM_w/l --> 6/11

Evaluating ... ...

c = 0.545454545454545

STEP 3: Convert Result to Output's Unit

0.545454545454545 --> No Conversion Required

FINAL ANSWER

0.545454545454545 ≈ 0.545455 <-- Weiss Index Along z-axis

(Calculation completed in 00.004 seconds)

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< Lattice Calculators

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Weiss Index along Z-axis using Miller Indices Formula

LaTeX Go

Weiss Index Along z-axis = LCM of Weiss Indices/Miller Index along z-axis
c = LCM_w/l

How to convert Weiss Indices into Miller Indices?

The Weiss parameters, introduced by Christian Samuel Weiss in 1817, are the ancestors of the Miller indices. They give an approximate indication of a face orientation with respect to the crystallographic axes, and were used as a symbol for the face.
Now that we know the equation of a plane in space, the rules for Miller Indices are a little more intelligible. They are:
- Determine the intercepts of the face along the crystallographic axes, in terms of unit cell dimensions.
- Take the reciprocals
- Clear fractions
- Reduce to lowest terms
If a plane is parallel to an axis, its intercept is at infinity and its Miller index is zero. A generic Miller index is denoted by (hkl).

How to Calculate Weiss Index along Z-axis using Miller Indices?

Weiss Index along Z-axis using Miller Indices calculator uses Weiss Index Along z-axis = LCM of Weiss Indices/Miller Index along z-axis to calculate the Weiss Index Along z-axis, The Weiss Index along Z-axis using Miller Indices gives an approximate indication of a face orientation with respect to the crystallographic z-axis. Weiss Index Along z-axis is denoted by c symbol.

How to calculate Weiss Index along Z-axis using Miller Indices using this online calculator? To use this online calculator for Weiss Index along Z-axis using Miller Indices, enter LCM of Weiss Indices (LCM_w) & Miller Index along z-axis (l) and hit the calculate button. Here is how the Weiss Index along Z-axis using Miller Indices calculation can be explained with given input values -> 0.545455 = 6/11.

FAQ

What is Weiss Index along Z-axis using Miller Indices?

The Weiss Index along Z-axis using Miller Indices gives an approximate indication of a face orientation with respect to the crystallographic z-axis and is represented as c = LCM_w/l or Weiss Index Along z-axis = LCM of Weiss Indices/Miller Index along z-axis. The LCM of Weiss Indices is the least common multiple of Weiss indices a, b, c ,i.e, along x, y, z axes respectively & The Miller Index along z-axis form a notation system in crystallography for planes in crystal (Bravais) lattices along the z-direction.

How to calculate Weiss Index along Z-axis using Miller Indices?

The Weiss Index along Z-axis using Miller Indices gives an approximate indication of a face orientation with respect to the crystallographic z-axis is calculated using Weiss Index Along z-axis = LCM of Weiss Indices/Miller Index along z-axis. To calculate Weiss Index along Z-axis using Miller Indices, you need LCM of Weiss Indices (LCM_w) & Miller Index along z-axis (l). With our tool, you need to enter the respective value for LCM of Weiss Indices & Miller Index along z-axis and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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