What Are Wyckoff Symbols and How Are They Used in Identifying Atomic Positions?

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In summary, Wyckoff symbols are related to crystallography and represent the position of atoms in a crystal structure. They are typically used in materials science and can vary depending on the type of atoms present, as seen in perovskites which have three different Wyckoff positions for their three types of atoms.
  • #1
hiyok
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Hello, can anybody tell me what is Wyckoff symbols?

And what is the use of them?

Please use a concrete example.

Thanks
 
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It is very difficult to tell what a single word or symbol means without some information as to where it occured. I had never seen "Wyckoff symbol" before but I googled on it and found that it is related to crystalography, not mathematics. Perhaps this page will help:
http://www.mse.ufl.edu/~vcrac/pages/Lecture_11_Sept_18_2006.pdf
 
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  • #3
thanks.
Is it right that a Wyckoff position relates to a type of atoms? For example, for perovskites there are three types of atoms, so there are three Wyckoff positions?
 

Related to What Are Wyckoff Symbols and How Are They Used in Identifying Atomic Positions?

1. What is a Wyckoff symbol?

A Wyckoff symbol is a notation system used in crystallography to describe the position and orientation of an atom within a crystal structure. It consists of a letter and a set of numbers that represent the symmetry operations and location of the atom within a unit cell.

2. How is a Wyckoff symbol written?

A Wyckoff symbol is written as a letter followed by a set of numbers in parentheses, such as a(1/2, 1/2, 1/2) or c(1/2, 0, 0). The letter indicates the specific Wyckoff position within a unit cell, and the numbers represent the fractional coordinates of the atom's position relative to the unit cell axes.

3. What does the letter in a Wyckoff symbol represent?

The letter in a Wyckoff symbol represents the specific Wyckoff position within a unit cell. There are 14 different Wyckoff positions, labeled from a to n, each with its own unique symmetry operations and orientation within the unit cell.

4. How are Wyckoff symbols used in crystallography?

Wyckoff symbols are used to describe the arrangement of atoms within a crystal structure and to determine the symmetry of the crystal lattice. They are also used to generate space group diagrams, which are used to identify and classify different types of crystals.

5. Who is the Wyckoff symbol named after?

The Wyckoff symbol is named after crystallographer William Wyckoff, who developed the notation system in the early 20th century. His work on crystal structure analysis and notation has been instrumental in the field of crystallography and materials science.

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