Open In App

Crystal Lattice and Unit Cell

Last Updated : 17 Jan, 2023
Like Article

In crystalline solids, their constituent particles have a definite arrangement in three dimensions. The positions of these particles in the crystal relative to each other are usually represented by points. The dispensation of these unendurable sets of points is called a space lattice. The positions occupied by atoms, ions, or molecules in a crystal lattice are the collar lattice points or lattice sites. This article will cover the basic understanding of space lattices, two-dimension lattices, and then three-dimensional lattices. Let’s start one by one.

Two Dimensional Lattices

A two-dimensional lattice is a stationary distribution of constituent particles (atoms, ions, or molecules) in the plane. There are five types of two-dimensional lattices. These are square rectangles, parallelograms, rhombi, and hexagonal lattices. These differ in the symmetry of the arrangement of the points. The hexagonal lattice has the most symmetrical arrangement of points while the parallelogram lattice has the least symmetric arrangement of points.

Two Dimensional Lattices

Because of the regularly repeating arrangement of points in a two-dimensional lattice, a small portion of the lattice needs to be described to fully specify it. For example, select four points in a two-dimensional lattice and join them to form a parallelogram. This smallest part is called the unit cell. An ideal lattice can be produced by repeatedly rotating the unit cell in the direction of its edges by a distance equal to the edge of the cell.

A unit cell gives the shape of the entire lattice. However, it can be noted that for any given lattice, unit cells can be selected in many different ways. This is because a lattice contains a very large number of atoms and many identical points can be found.

A cell with an interior point is called a focused unit cell. Those unit cells which do not have any internal point are called primitive unit cells.

Thus, a two-dimensional lattice can be described as specifying the unit cell by the lengths of the edges and the angles between them. Thus, the five two-dimensional lattices are:

  1. Square lattice
  2. Rectangular lattice
  3. Parallelogram lattice
  4. Rhombic Lattice
  5. Hexagonal Lattice

Three Dimensional Crystal Lattice

The constituent particles (atoms, ions, or molecules) in a crystalline solid have a definite three-dimensional arrangement. If the three-dimensional arrangement of the constituent particles in a crystal is represented diagrammatically by depicting each particle by points, the arrangement is called a crystal lattice or space lattice. A crystal lattice is a well-ordered arrangement of the constituent particles of a crystalline solid in three-dimensional space.

Three Dimensional Crystal Lattice

A three-dimensional crystal lattice is like a two-dimensional lattice. The set of repeated lattice points in a crystal lattice can be found by carefully analyzing the crystal lattice This undershot Ingeminate pattern is called a unit cell. A unit cell can be defined as the smallest three-dimensional repetitive part of the space lattice, which when repeated in different directions produces a complete crystal lattice.

Unit Cell

This smallest Ingeminate pattern represents the size of the entire crystal. A complete lattice can be produced by repeatedly rotating the unit cell in the direction of its edges from a distance equal to the edge of the cell. Crystals can be thought of as consisting of an infinite number of unit cells.

Crystal Lattice

A regular three-dimensional arrangement of points (ions, atoms, etc.) in space is called a crystal lattice. There are 14 possible three-dimensional lattices. These are called Bravais lattices.

Characteristics of Crystal Lattice

  • Each point in the crystal lattice is called a lattice point or lattice site.
  • Each point in the crystal lattice represents a constituent particle which can be an atom, a molecule (a group of atoms) or an ion.
  • Three-dimensional distribution of lattice points representing a crystal lattice.
  • The lattice points are joined by straight lines to bring out the geometry of the lattice.

Unit Cell

The unit cell is the smallest part of the crystal lattice, which when repeated in different directions produces the entire lattice, e.g. Primitive unit cells and concentrated unit cells.

Types of Unit Cells: Unit cells can be broadly divided into two categories,

  • Primitive unit cell – In primitive unit cells, the constituent particles are present only at the corner positions of the unit cell whereas, in concentrated unit cells, one or more component particles are present at locations other than the corners.
  • Centered unit cell  Centered unit cell is classified as the body-centered unit cell (bcc), face-centered unit cell (fcc), end centered unit cell (ECC).

Parameters of a Unit Cell

A unit cell is characterized by:

  • Its dimensions (length) are of form a, b, and c with three edges. These edges may or may not be mutually perpendicular.
  • angles α, ß, and γ between the pair of edges. The angle α is between the edges b and c, angle ß is between the edges c and a and angle γ is between the edges a and b. Thus, a unit cell is characterized by six parameters, a, b, c, α, ß and γ. The complete crystal lattice can be obtained by expanding the unit cell in all three directions.

Difference between Crystal Lattice and Unit Cell

Crystal lattice

Unit cell

It is a regular arrangement of constituent particles of crystalline solids in three-dimensional space. It is the smallest repeating structural unit which when repeated in all three dimensions generates a crystal lattice.
It is made up of large numbers of unit cells. It is the fundamental unit of crystal lattice having all the properties of the crystal.
The crystal lattice is defined in terms of the properties of the unit cell. Unit cell defines all the fundamental properties of a crystalline solid.
A crystal lattice can be split up or broken into numerous individual unit cells. A unit cell cannot be split or broken into smaller units without changing its properties.
It is a macroscopic system. It is a microscopic system.
The crystal lattice can be isolated or prepared for analysis. A unit cell cannot be isolated for analysis it is a hypothetical entity.

Sample Questions

Question 1: What are the characteristics of this unit cell?


The most convenient cell is the smallest unit cell that has perfect lattice symmetry.

  • For square, rectangular, and parallelogram lattice, the unit cells chosen are square, rectangle, and parallelogram respectively.
  • For a hexagonal lattice, the unit cell is a rhombus with an angle of 60°.
  • For a rhombus lattice, a rectangular unit cell with one interior point is usually chosen.

Question 2: Which network solid is an exceptionally good conductor of electricity? 


Graphite, a network solid, is a good conductor of electricity.

Question 3. How are unit cell and space lattice related?


The space lattice is obtained by repeating the unit cell in three dimensions. The spatial arrangement, stump, and density of the unit cell and space lattice are equivalent.

Question 3: Pick out the odd ones from the following sets: Sulphur, Argon, Solid Co2, Diamond, SIC, Quartz, BaO, Graphite


Diamond because all other molecular solids and BaO because all are covalent solids.

Question 4: What is the difference between glass and quartz, while both are made of SiO4, tetrahedral? Under what conditions can quartz be converted to glass?


Glass is an amorphous solid whereas quartz is a crystalline solid. When quartz melts and then rapidly cools, quartz turns into glass. 

Question 5: If you break a piece of a cube, what difference would you expect to see in the behavior of glass and sodium chloride?


Glass (an amorphous solid) will break irregularly, usually in a curved shape because its constituent molecules are not arranged in an ordered pattern. As a substitute, sodium chloride (tan ionic solid) will break all plane surfaces parallel to the faces of the cube because the planes of its constituent ions are parallel to the faces of the crystalline cube.

Previous Article
Next Article

Similar Reads

Crystal Structure - Seven Crystal System, Examples
Crystal Structure refers to the arrangement of atoms or molecules in a crystalline material. When atoms or molecules are arranged in a specific repeating pattern, they form a crystal. This arrangement is called the crystal structure. This arrangement gives crystals their unique shapes and properties. Based on the different arrangements, there are s
10 min read
Calculate the Number of Particles per unit cell of a Cubic Crystal System
We are mostly surrounded by solids, which we use more frequently than liquids and gases. We require solids with a wide range of properties for various applications. These properties are determined by the nature of the constituent particles and the binding forces that exist between them. As a result, studying the structure of solids is critical. Sol
5 min read
Unit of Volume - SI Unit, CGS Unit
Unit of Volume is cubic meter represented as m3. Volume is a measure of the capacity of any vessel or a three-dimensional body. In the International System of Units (SI), the unit of volume is m3. Volume can also be represented in other units such as cubic centimetres, litres, millilitres, gallons, etc. In this article, we will learn the definition
6 min read
Crystal Field Theory
A coordination compound consists of a metal atom or ion at the centre, surrounded by a number of oppositely charged ions or neutral molecules. A coordinate connection connects these ions or molecules to the metal atom or ion. When dissolved in water, they do not dissociate into simple ions. Crystal Field Theory H. Bethe and V. Bleck proposed the cr
7 min read
Applications of Liquid Crystal
Liquid crystals are a special type of substance which don't have a real state such as solid or liquid. They are a hybrid combination of both. You never would have thought that you may be interacting with liquid crystals very often, like the one on your smartphone or the TV screen. However, these marvelous liquids also have many other uses that are
5 min read
Bravais Lattice
Bravais lattice is a framework in which the points or atoms are arranged in a three-dimensional configuration. Bravais Lattice is named after Auguste Bravais. There are a total of 14 Bravais Lattices across 7 Crystal Systems. This helps us to understand the structure of the particles within a crystal. In this article, we'll explore the world of Bra
10 min read
Lattice Energy
Lattice Energy is the energy required to break apart an ionic compound into its gaseous ions. We can also define it as the energy released when the gaseous atoms combine to form a crystal lattice. The lattice energy of any compound cannot be directly measured and we use various methods or techniques to find the lattice energy such as the use of the
14 min read
NCERT Solutions Class 11 Biology Chapter 10 Cell Cycle and Cell Division
NCERT Solutions for class 11 Chapter-10 Cell Cycle and Cell Division: The chapter on Cell Cycle and Cell Division is important for students approaching the board exams. This article introduces NCERT solutions designed to help students explain the concepts of further learning and how to write to get good grades on exams. The solutions are presented
9 min read
Difference Between Primary Cell and Secondary Cell
Difference between a Primary Cell and a Secondary Cell is that Primary Cells are the ones that cannot be charged but Secondary Cells are the ones that are rechargeable. Before learning about the detailed difference between Primary Cells and Secondary Cells, we will first learn about what a cell is, what are batteries, and the definitions of Primary
8 min read
Unit of Mass - SI Unit
Unit of Mass is a standard quantity used to measure the amount of matter in an object. The SI unit of mass is kilogram (kg). Other common units of mass include the gram (g), tonne (t), pound (lb), etc. Mass plays a crucial role in our daily lives, influencing our understanding of the physical world and contributing to various scientific and practic
6 min read