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Radioactivity and Nuclear decay
Madhava B Mallia
Radiopharmaceuticals Division
Radiochemistry and Isotope Group
BHABHA ATOMIC RESEARCH CENTRE
Trombay, Mumbai - 400 085, INDIA
• Atom!!!
• Radioactivity and nuclear decay process
• Kinetics of radioactive decay
• Decay constant and half-life
• Units of radioactivity
Overview
2
Atom: “Smallest indivisible particle of matter…”
3
ATOM Mass No. A = Number of protons + number of neutrons
Atomic No. Z = Number of protons
Radioactivity
Radioactivity is a phenomenon of spontaneous emission of
radiation by unstable nuclei
Henri Becquerel
4
Radioactivity: Story of unstable nucleus
5
Florescence: Atomic phenomenon Radioactivity: Nuclear phenomenon
6
Radioactive decay  Loose energy  Attain stability
Particles Electromagnetic
radiation
Types of radioactive decay
7
Alpha α Helium nucleus
Beta β-/β+ Electron/Positron
Gamma  Electromagnetic
Radiation
Auger Electron
223
88Ra  219
86Rn + 4
2He 223
88Ra87Fr219
86Rn
α Decay
8
β- Decay
9
131
53I  131
54Xe + β- 131
54Xe131
53I
10
18
9F  18
8O + β+ 18
9F18
8O
β+ Decay
 Emission
• Transition of nucleus from excited state to ground state
11
99mTc  99Tc + gamma
N/P ratio and nuclear stability in layman’s terms
12
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-)
13
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
Characteristics of radioisotopes
• Half-life
• Type of radiation
• Energy of radiation
14
Actenium-225 (half-life – 10 days)
Alpha - 5.79 MeV (8.6%); 5.73 MeV (10.0%); 5.79 MeV (18.1%); 5.83 MeV (51.6%)
Gamma – 12 keV (21.3%)
Lutetium-177 (half-life – 6.9 days)
Beta (max) - 0.18 MeV (12.3%); 0.49 (78.7%)
Gamma - 112.95 keV (6.4%); 208.36 keV (11.0%)
Technetium-99m (half-life – 6 hours)
Gamma – 140 keV
Kinetics of radioactive decay
Radioactive decay follows first order kinetics
15
A B
-dN/dt = N
‘N’

N = N0 e-t
-dN/dt  N
Where ‘’ is called decay constant
Decoding Decay Constant
16
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
17
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
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
18
Plot of A Vs time
19
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
20
Determination of half-life graphical method
21
Can you alter half-life?
22
When will a single nucleus of a radioactive atom
decay?
23
One half life One half life
Finally
What is my fate?
THANK YOU...24

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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 2
  • 3. Atom: “Smallest indivisible particle of matter…” 3 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 4 Radioactivity: Story of unstable nucleus
  • 5. 5 Florescence: Atomic phenomenon Radioactivity: Nuclear phenomenon
  • 6. 6 Radioactive decay  Loose energy  Attain stability Particles Electromagnetic radiation
  • 7. Types of radioactive decay 7 Alpha α Helium nucleus Beta β-/β+ Electron/Positron Gamma  Electromagnetic Radiation Auger Electron
  • 8. 223 88Ra  219 86Rn + 4 2He 223 88Ra87Fr219 86Rn α Decay 8
  • 9. β- Decay 9 131 53I  131 54Xe + β- 131 54Xe131 53I
  • 10. 10 18 9F  18 8O + β+ 18 9F18 8O β+ Decay
  • 11.  Emission • Transition of nucleus from excited state to ground state 11 99mTc  99Tc + gamma
  • 12. N/P ratio and nuclear stability in layman’s terms 12 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-)
  • 13. 13 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
  • 14. Characteristics of radioisotopes • Half-life • Type of radiation • Energy of radiation 14 Actenium-225 (half-life – 10 days) Alpha - 5.79 MeV (8.6%); 5.73 MeV (10.0%); 5.79 MeV (18.1%); 5.83 MeV (51.6%) Gamma – 12 keV (21.3%) Lutetium-177 (half-life – 6.9 days) Beta (max) - 0.18 MeV (12.3%); 0.49 (78.7%) Gamma - 112.95 keV (6.4%); 208.36 keV (11.0%) Technetium-99m (half-life – 6 hours) Gamma – 140 keV
  • 15. Kinetics of radioactive decay Radioactive decay follows first order kinetics 15 A B -dN/dt = N ‘N’  N = N0 e-t -dN/dt  N Where ‘’ is called decay constant
  • 16. Decoding Decay Constant 16 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
  • 17. 17 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 18
  • 19. Plot of A Vs time 19
  • 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 20
  • 21. Determination of half-life graphical method 21
  • 22. Can you alter half-life? 22
  • 23. When will a single nucleus of a radioactive atom decay? 23 One half life One half life Finally What is my fate?