32 point group system mmm in Orthorhombic crystal

In summary, the 32 point group system, also known as the Hermann-Mauguin notation, is used to describe the symmetry of crystals. In Orthorhombic crystals, there are 32 different ways in which the crystal can be rotated or reflected while maintaining its shape and structure. The "mmm" designation in this system indicates three perpendicular mirror planes. It is used in crystallography to classify and understand the physical properties of crystals. This system can be applied to all types of crystals, and understanding it has practical applications in various fields such as materials science and medicine.
  • #1
daskywalker
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32 point group system "mmm" in Orthorhombic crystal

Hello,
I am trying to understand the mmm symmetry in a orthorhombic crystal. Looking from the diagram I know there are 5 diads which will give me 10 unique planes in the same form. But how do I know the exact planes that are in the form given one of them (lets say, 210)
 
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  • #2


You need the coordinates of the atoms.
 

1. What is the 32 point group system in Orthorhombic crystal?

The 32 point group system, also known as the Hermann-Mauguin notation, is a way of describing the symmetry of crystals. In Orthorhombic crystals, there are 32 different ways in which the crystal can be rotated or reflected while still maintaining its overall shape and structure.

2. What does "mmm" mean in the 32 point group system for Orthorhombic crystals?

The "mmm" designation in the 32 point group system stands for three perpendicular mirror planes, which are planes of symmetry that divide the crystal into equal halves when reflected upon.

3. How is the 32 point group system used in crystallography?

The 32 point group system is used in crystallography to classify and describe the symmetry of crystals. It is an important tool for understanding the physical properties and behavior of crystals, as well as their formation and growth processes.

4. Can the 32 point group system be applied to all types of crystals?

Yes, the 32 point group system can be applied to all types of crystals, including minerals, metals, polymers, and more. However, different crystal systems may have different point group systems, as they exhibit different types of symmetry.

5. What are the practical applications of understanding the 32 point group system in Orthorhombic crystals?

Understanding the 32 point group system in Orthorhombic crystals is essential for many fields, including materials science, geology, and chemistry. It allows scientists to predict and manipulate the physical and chemical properties of crystals, which can have important applications in industries such as electronics, medicine, and energy production.

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