A brief presentation on radioactivity and nuclear decay process. The presentation is not too technical. The intention is only to give a brief idea about radioactivity
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Radioactivity and nuclear decay
1. Radioactivity and Nuclear decay
Madhava B Mallia
Radiopharmaceuticals Division
Radiochemistry and Isotope Group
BHABHA ATOMIC RESEARCH CENTRE
Trombay, Mumbai - 400 085, INDIA
2. • Atom!!!
• Radioactivity and nuclear decay process
• Kinetics of radioactive decay
• Decay constant and half-life
• Units of radioactivity
Overview
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3. Atom: “Smallest indivisible particle of matter…”
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ATOM Mass No. A = Number of protons + number of neutrons
Atomic No. Z = Number of protons
4. Radioactivity
Radioactivity is a phenomenon of spontaneous emission of
radiation by unstable nuclei
Henri Becquerel
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Radioactivity: Story of unstable nucleus
11. Emission
• Transition of nucleus from excited state to ground state
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99mTc 99Tc + gamma
12. N/P ratio and nuclear stability in layman’s terms
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N/P ratio = Neutron/Proton ratio
Carbon-11 Carbon-12 Carbon-13 Carbon-14
N 5 6 7 8
P 6 6 6 6
N/P 0.83 1 1.16 1.33
Status Radioactive Stable Stable Radioactive
Mode of decay Positron (β+) - - Beta (β-)
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Carbon-11
N 5
P 6
N/P 0.83
Status Radioactive
Boron-11
N 6
P 5
N/P 1.2
Status Stable
Carbon-14
N 8
P 6
N/P 1.33
Status Radioactive
Nitrogen-14
N 7
P 7
N/P 1
Status Stable
Attaining stability through radioactive decay
15. Kinetics of radioactive decay
Radioactive decay follows first order kinetics
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A B
-dN/dt = N
‘N’
N = N0 e-t
-dN/dt N
Where ‘’ is called decay constant
16. Decoding Decay Constant
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N = N0 e-t
Number Number Unit less quantity
Unit of ‘’ = inverse of unit of time
Unit of ‘’ = S-1 (Second inverse)
Decay constant Probability of nuclear decay per second
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Activity
N = N0 e-t
Activity, A = N
x x
N = N0 e-t
A = A0 e-t
Activity = Number of disintegrations happening per second
18. Radioactivity and its units
• SI unit – Bq (Bequerels)
• 1 Bq = 1 dps (disintegrations per second)
• 1 Curie – 3.7 x 1010 dps (Bq) – Disintegrations in 1 gram of 226Ra
• 1 millicurie – 37 MBq
• 1 microcurie – 37 kBq
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20. Half-life of a radioisotope
Half-life (t1/2) – Time taken to reduce the activity of a radioactive sample to half the
initial value
A = A0 e-t
At t = t1/2 , A = A0/2 x e-t1/2
t1/2 = 0.693/λ
Half-life is a constant for a given radioisotope
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