SRP Posters for Schools | Page 6

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THE SOCIETY FOR

Does a radioactive cat

have 18 half-lives ?!

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RADIOLOGICAL PROTECTION

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Basics - Poster 5

Radioactivity Units & Half-Life

The nucleus of a radioactive atom is in an unstable , energetic state . When it releases its potential energy by radioactive decay , it can transform into a lower energy state .

The basic unit of radioactivity is the Becquerel ( named after Henri Becquerel ) and is 1 disintegration per second . This is a very small unit and for the amounts of radioactivity commonly encountered , it is necessary to use prefixes that represent multiples .

For example there is about 4 kBq of naturally occurring potassium-40 in our bodies : whilst activity levels commonly found in industrial , medical and research uses range from MBq to TBq .

Definition

Activity

Activity is the average number of unstable nuclei that disintegrate ( or decay ) per second

Unit Becquerel ( Bq ) 1 Bq = 1 disintegration per second

Bq

kBq ( kilo ) = 10 3 Bq TBq ( Tera ) = 10 12 Bq MBq ( Mega ) = 10 6 Bq

PBq ( Peta ) = 10 15 Bq GBq ( Giga ) = 10 9 Bq EBq ( Eta ) = 10 18 Bq

Radioactive atoms decay independently of each other and whether a specific atom decays is a matter of probability . However , collectively , radioactive atoms follow an exponential decay law such that the time taken for half the atoms to decay is always the same for a specific radioisotope .

This is called the half-life and is shown graphically below for Tellurium-131 , which has a half life of 30 hours . The graph on the left is drawn with linear axes . Whilst the one on the right has a logarithmic y axis and a linear x axis . Both show the same relationship .

Concept of Half-life tellurium-131 , T = 30h

½

Graphical Representation of Half-Life

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0.6
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3xT 1 / 2

90 hours T 1 / 2 30 hours

0.25

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0.125

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0 20 40 60 80 100 120 140 hours

0.01

0 20 40 60 80 100 120 140

Half-lives range from less than a second to millions of years . The list on the right shows the half-lives for some of the commonly used radionuclides .

Use of a particular radionuclide is usually driven by other properties such as the types of radiation it emits and their energies ( and hence penetrating power ). However the half-life can be a factor . For example sodium-24 is used in tracer experiments , and for some of these it is beneficial , from a safety perspective , that it has decayed away in a relatively short time .

Radionuclide Sodium-24 Phosphorus-32 Iridium-192 Promethium-147 Cobalt-60 Caesium-137 Americium-241

Half-life 15.0 hours 14.2 days 74 days 2.6 years 5 years 30 years 432 years

Images provided by courtesy of Public Health England

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