Miller index along Z-axis using Weiss Indices Solution

STEP 0: Pre-Calculation Summary
Formula Used
Miller Index along z-axis = lcm(Weiss Index along x-axis,Weiss Index along y-axis,Weiss Index Along z-axis)/Weiss Index Along z-axis
l = lcm(ax-axis,b,c)/c
This formula uses 1 Functions, 4 Variables
Functions Used
lcm - LCM of any two is the value that is evenly divisible by the two given numbers., lcm(a1, …, an)
Variables Used
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.
Weiss Index along x-axis - The Weiss Index along x-axis give an approximate indication of a face orientation with respect to the crystallographic x-axis.
Weiss Index along y-axis - The Weiss Index along y-axis give an approximate indication of a face orientation with respect to the crystallographic y-axis.
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.
STEP 1: Convert Input(s) to Base Unit
Weiss Index along x-axis: 3 --> No Conversion Required
Weiss Index along y-axis: 9 --> No Conversion Required
Weiss Index Along z-axis: 5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = lcm(ax-axis,b,c)/c --> lcm(3,9,5)/5
Evaluating ... ...
l = 9
STEP 3: Convert Result to Output's Unit
9 --> No Conversion Required
FINAL ANSWER
9 <-- Miller Index along z-axis
(Calculation completed in 00.004 seconds)

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Miller index along Z-axis using Weiss Indices Formula

​LaTeX ​Go
Miller Index along z-axis = lcm(Weiss Index along x-axis,Weiss Index along y-axis,Weiss Index Along z-axis)/Weiss Index Along z-axis
l = lcm(ax-axis,b,c)/c

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 Miller index along Z-axis using Weiss Indices?

Miller index along Z-axis using Weiss Indices calculator uses Miller Index along z-axis = lcm(Weiss Index along x-axis,Weiss Index along y-axis,Weiss Index Along z-axis)/Weiss Index Along z-axis to calculate the Miller Index along z-axis, The Miller index along Z-axis using Weiss Indices form a notation system in crystallography for planes in crystal (Bravais) lattices along the z-direction. Miller Index along z-axis is denoted by l symbol.

How to calculate Miller index along Z-axis using Weiss Indices using this online calculator? To use this online calculator for Miller index along Z-axis using Weiss Indices, enter Weiss Index along x-axis (ax-axis), Weiss Index along y-axis (b) & Weiss Index Along z-axis (c) and hit the calculate button. Here is how the Miller index along Z-axis using Weiss Indices calculation can be explained with given input values -> 9 = lcm(3,9,5)/5.

FAQ

What is Miller index along Z-axis using Weiss Indices?
The Miller index along Z-axis using Weiss Indices form a notation system in crystallography for planes in crystal (Bravais) lattices along the z-direction and is represented as l = lcm(ax-axis,b,c)/c or Miller Index along z-axis = lcm(Weiss Index along x-axis,Weiss Index along y-axis,Weiss Index Along z-axis)/Weiss Index Along z-axis. The Weiss Index along x-axis give an approximate indication of a face orientation with respect to the crystallographic x-axis, The Weiss Index along y-axis give an approximate indication of a face orientation with respect to the crystallographic y-axis & The Weiss Index along z-axis give an approximate indication of a face orientation with respect to the crystallographic z-axis.
How to calculate Miller index along Z-axis using Weiss Indices?
The Miller index along Z-axis using Weiss Indices form a notation system in crystallography for planes in crystal (Bravais) lattices along the z-direction is calculated using Miller Index along z-axis = lcm(Weiss Index along x-axis,Weiss Index along y-axis,Weiss Index Along z-axis)/Weiss Index Along z-axis. To calculate Miller index along Z-axis using Weiss Indices, you need Weiss Index along x-axis (ax-axis), Weiss Index along y-axis (b) & Weiss Index Along z-axis (c). With our tool, you need to enter the respective value for Weiss Index along x-axis, Weiss Index along y-axis & Weiss 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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