Strange Miller Index Notation [00.1]

Thread starter Abigale
Start date Dec 22, 2014
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Crystallography Index Index notation Notation Strange

In summary, Miller Index Notation is a way of representing the orientation of crystal planes in a crystal lattice. It is important in science because it helps describe the structure of crystals and understand their properties. It is written as three integers enclosed in square brackets, and is used in crystallography to determine symmetry and properties of crystals, construct crystal models, and study crystal growth and defects. A zero value in Miller Index Notation represents a plane that is parallel to the corresponding axis of the crystal lattice. To determine the Miller Indices of a crystal plane, one must identify the intercepts on the three axes, take the reciprocals, and reduce them to the smallest possible integers.

Dec 22, 2014

Abigale

Do someone knows what this dot "." means?
I just know this notation [001].

Thank u
Abigale

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Dec 22, 2014

DrDu

Science Advisor

Maybe they mean ##[00\bar{1}]##?

Dec 23, 2014

Useful nucleus

This is an old fashioned way to describe directions in hexagonal systems using 3 coordinates. See the first few pages here:

http://www.public.asu.edu/~rosebudx/Chap4_99_131.pdf

In particular page 101.

Last edited: Dec 23, 2014

1. What is Miller Index Notation and why is it important in science?

Miller Index Notation is a way of representing the orientation of a crystal plane in a crystal lattice. It is important in science because it allows scientists to describe the structure of crystals and understand their physical and chemical properties.

2. How is Miller Index Notation written?

Miller Index Notation is written as three integers enclosed in square brackets, with no commas in between. The numbers represent the reciprocal intercepts of the crystal plane on the three axes of the crystal lattice.

3. How do you determine the Miller Indices of a crystal plane?

To determine the Miller Indices of a crystal plane, you need to first identify the intercepts of the plane on the three axes of the crystal lattice. Then, take the reciprocals of these intercepts and reduce them to the smallest possible integers. These integers represent the Miller Indices of the plane.

4. What does a zero value in Miller Index Notation represent?

A zero value in Miller Index Notation represents a plane that is parallel to the corresponding axis of the crystal lattice. This means that the plane does not intersect that particular axis and therefore does not contribute to the crystal's overall structure.

5. How is Miller Index Notation used in crystallography?

Miller Index Notation is used in crystallography to describe the orientation of crystal planes, as well as to determine the symmetry and properties of a crystal. It is also used in the construction of crystal models and in the study of crystal growth and defects.