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Basic Types Of Crystal Structure

Description

Understanding the arrangement of atoms in a crystal is fundamental to the study of materials science. Crystal structures determine many of the physical properties of materials, including their strength, conductivity and optical behaviour. This blog post examines various types of crystal structures and the concept of the lattice.

Types of Crystal Structures

Crystals can be categorised according to their atomic arrangement. Common classifications include:

Cubic Crystal System

The cubic system is one of the simplest and most symmetric crystal structures. It has three identical axes that intersect at right angles.

Tetragonal Crystal System

In the tetragonal system, two axes are of equal length while the third axis differs, being either longer or shorter. All axes intersect at 90°.

Orthorhombic Crystal System

The orthorhombic system consists of three axes of differing lengths, all of which intersect at right angles.

Hexagonal Crystal System

Hexagonal crystals have four axes: three lie in the same plane at 120° to one another, with the fourth axis perpendicular to this plane.

Trigonal Crystal System

Similar to the hexagonal system, the trigonal system features three axes in one plane, though it differs in terms of symmetry and atomic arrangement.

The Lattice in Crystal Structures

A lattice is a repeating three-dimensional array of points in space that represents the positions of the atoms in a crystal. The lattice forms the framework upon which the crystal structure is constructed. Understanding the lattice is crucial for determining the material’s properties.

Unit Cell

The smallest repeating unit of a lattice is known as the unit cell. It defines the symmetry and structure of the entire crystal.

Bravais Lattices

There are 14 distinct Bravais lattices, each representing a unique combination of lattice parameters and symmetries in three-dimensional space.

Coordination Number

The coordination number refers to the number of nearest neighbour atoms surrounding a central atom in the lattice. This number affects the stability and bonding characteristics of the crystal.

Comparison of Crystal Structures

Crystal System

Number of Axes

Axes Lengths

Angles between Axes

Cubic

3

Equal

90°

Tetragonal

3

Two equal, one different

90°

Orthorhombic

3

All different

90°

Hexagonal

4

Three equal, one different

120° in the plane, 90° vertical

Trigonal

3

All equal or different

120° in the plane, 90° perpendicular

Frequently Asked Questions

What determines the type of crystal structure in a material?

The type of crystal structure is determined by the size, charge and bonding preferences of the atoms or ions that constitute the crystal. These factors dictate the atomic arrangement that minimises the total energy.

How does the lattice affect the properties of a material?

The lattice defines the symmetry and spacing of atoms within the crystal, thereby influencing properties such as electrical conductivity, hardness and optical behaviour.

Can a single element form different crystal structures?

Yes, many elements can crystallise in various structures under different temperature and pressure conditions. For example, carbon crystallises as both diamond and graphite, which exhibit distinct crystal structures and properties.

Why are diagrams significant in the study of crystal structures?

Diagrams provide a visual representation of the atomic arrangement. This facilitates the examination of the symmetry, bonding and overall geometry of the crystal.

What is the significance of the unit cell in a crystal lattice?

The unit cell is the fundamental building block of a crystal lattice. By repeating the unit cell in three dimensions, the entire crystal structure is formed. Understanding the unit cell assists in predicting the material’s properties and behaviour.

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About the author

Chin Trento

Chin Trento holds a bachelor's degree in applied chemistry from the University of Illinois. His educational background gives him a broad base from which to approach many topics. He has been working with writing advanced materials for over four years at Stanford Advanced Materials (SAM). His main purpose in writing these articles is to provide a free, yet quality resource for readers. He welcomes feedback on typos, errors, or differences in opinion that readers come across.

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