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Calculations Involving Unit Cell Dimensions
Chapter Name : The Solid State
Sub Topic Code : 102_12_01_09_01
Topic Name : Calculations Involving Unit Cell Dimensions
Sub Topic Name : Calculations Involving Unit Cell Dimensions
Introduction

• From the unit cell dimensions of the metal crystal, it is possible to calculate the volume of the unit cell. • Knowing the density of the metal, we can calculate the mass of the atoms in the unit cell. • Finding the mass of a single atom gives an accurate method of finding Avogadro constant. • The density of the unit cell is the same as the density of the substance.

Pre-Requisites:

atom, close packing structure, Avogadro constant, dimension

Activity:

Different metal crystals have different density, volume depending on the unit cell density and volume. E.g. Diamond has different density than ruby.

Real Life Question:

How dense are solid structures?

Key Words / FlashCards
Key Words Definitions (pref. in our own words)
Unit cell Unit cell is the smallest structures which constitutes the larger crystal structures.
Learning aids / Gadgets
Gadgets How it can be used
Blocks, marbles Use marbles or blocks to construct different types of closed pack structures.
Real life uses :

Different metals have different densities and therefore are used for different purposes.

Places to visit :

Kitchen

Practical examples around us
Examples Explainations
Metals, iron, copper Crystals of metals have specific densities which are determined by the densities of the unit cell of each crystal.
What you learn in Theory:

• From the unit cell dimensions of the metal crystal, it is possible to calculate the volume of the unit cell. • Knowing the density of the metal, we can calculate the mass of the atoms in the unit cell.

What you learn in Practice:

Density of a unit cell of a crystal is equal to the density of the metal crystal.

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