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FRCR II - Radioactivity
Nick Harding Clinical Scientist Radiotherapy Department Castle Hill Hospital Hull & East Yorkshire Hospitals NHS Trust
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RADIOACTIVE DECAY Unstable nuclei / isotopes
spontaneous disintegration transmutation emission of radiation These unstable isotopes are called radioactive isotopes or radionuclides The spontaneous nuclear transformation is called radioactivity or radioactive decay / disintegration
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RADIOACTIVITY
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RADIOACTIVITY α - particles β - particles γ - rays Helium nuclei
electrons/positrons γ - rays electromagnetic
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ACTIVITY Activity is defined as
the number of radioactive atoms undergoing nuclear transformations per unit time The Système International unit is the becquerel (Bq) 1 Bq = 1 disintegration/second Traditionally, expressed in units of curies (Ci) 1 Ci = 3.7 × 1010 Bq = 37 GBq = 37,000 MBq
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RADIOACTIVE DECAY Radioactive decay is a random process
Number of atoms decaying per unit time is proportional to the number of unstable atoms
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RADIONUCLIDE PARAMETERS
The half-life (τ1/2) is defined as: the time required for the number of radioactive atoms in a sample to decrease by one half The decay constant (λ) is the probability that an atom will decay per unit time Both λ and τ1/2 are unique for each radionuclide
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RADIOACTIVE DECAY LAW Number of Nuclei Half-life Parent Nuclei N
1/2 Daughter Nuclei D Number of Nuclei 1/4 1/8 1/16 1/32 Half-life
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RADIOACTIVE DECAY LAW The rate at which a radioactive isotope disintegrates is defined by the following DECAY LAW: Where N(t): number of radioactive atoms at time t N0: initial number of radioactive atoms (at time zero) τ1/2: half-life e: base of natural logarithm ( ≈ 2.718) λ: decay constant
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RADIOACTIVE DECAY TYPES
Radioactive decays are classified by the types of particles that are emitted during the decay: Alpha decay (α) Beta decay (β) Gamma decay (γ) Internal conversion (IC) Isomeric transition (ΙΤ) Electron capture (ε or ec) Spontaneous fission (SF) Neutron emission (n)
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ALPHA DECAY (α) 42Ηe Ζ = -2 Α = -4 p n n Parent Nucleus
Daughter Nucleus 42Ηe p n Ζ = -2 Α = -4 n
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ALPHA DECAY (α) Spontaneous emission of an alpha (α) particle
from the nucleus An α particle is a Helium nucleus containing two protons and two neutrons Typically occurs Heavy nuclides (A>150)
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ΑLPHA PARTICLES Not used in medical imaging
range in solids and liquids few micrometres (10-6m) range in air few centimetres (10-2m) Alpha particles cannot penetrate the dead layer of the skin Health hazard only when they enter the body eg. Po-210
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Xofigo® THERAPY Used in medical therapy Ra-223 dichloride (Xofigo®)
Used to treat prostate cancer once it has spreaded to the bones Radium acts like calcium
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SMOKE DETECTOR Used in smoke detectors Smoke detector consists of
1 ion chamber 2 electrodes 1 Am-241 source (τ1/2 = 432y) Am-241 decays via alpha decay emits alpha particles ionise air within chamber electric current
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SMOKE DETECTOR Used in smoke detectors Smoke detector consists of
1 ion chamber 2 electrodes 1 Am-241 source (τ1/2 = 432y) Am-241 decays via alpha decay emits alpha particles ionise air within chamber electric current
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SMOKE DETECTOR Used in smoke detectors Smoke detector consists of
1 ion chamber 2 electrodes 1 Am-241 source (τ1/2 = 432y) Am-241 decays via alpha decay emits alpha particles ionise air within chamber electric current
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ΒETA DECAY (β) Beta positive (β+) decay: Beta negative (β-) decay:
Proton (p+) → neutron + positron (β+) Beta negative (β-) decay: Neutron (n0) → proton (p+) + electron (β-) Isobaric transitions – no change in A
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β+ DECAY β+ Ζ = -1 Α = remains the same Parent Nucleus
Increase N/Z ratio – occurs in neutron poor isotopes Parent Nucleus Daughter Nucleus n p β+ n p p Ζ = -1 Α = remains the same
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β- DECAY β- Ζ = +1 Α = remains the same Parent Nucleus
Decrease N/Z ratio – occurs in neutron rich isotopes Parent Nucleus Daughter Nucleus p β- n p Ζ = +1 Α = remains the same
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positron annihilation
β Particles positron annihilation photon (511 keV) β emission up to “a few mm”
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TRITIUM 3H
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TRITIUM ILLUMINATION Tritium decays by beta decay Electrons released
Phosphor atoms excited/ionised Release of characteristic radiation Visible light!
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GAMMA DECAY Nucleus in excited state (surplus of energy)
Release of excess energy emission of γ-rays nucleus returns to its ground / stable state
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ISOMERIC TRANSITION Half-lives from 10-12 sec – 600 years
These excited states are called metastable or isomeric states No change in atomic number mass number neutron number
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ISOMERIC TRANSITION Isomeric transition is a radioactive decay process
excited nucleus decays to lower energy state gamma radiation emitted no emission of particles no capture of particle by the nucleus
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Mo-99 DECAY SCHEME 99Mo decays by β- decay
into 99Tcm (i.e. 99Tcm metastable state of 99Tc) half-life = 66 hours 99Tcm decays by isomeric transition into 99Tc ground state with 6 hr half-life half-life = 6.01 hours
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ISOMERIC TRANSITION
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ELECTRON CAPTURE An alternative to positron decay for neutron poor radionuclides; Increase N/Z; Nucleus captures an orbital electron and converts a proton into a neutron;
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ELECTRON CAPTURE e- Ζ = -1 Α = remains the same Parent Nucleus
` Parent Nucleus Daughter Nucleus p n e- p Ζ = -1 Α = remains the same
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INTERNAL CONVERSION Nucleus in excited state (surplus of energy)
De-excitation through ejection of a tightly bound electron (K- or L-shell) Ejected electron not a beta particle – no change of Z alternative mechanism to γ-decay
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SPONTANEOUS FISSION Heavy nuclei decay by splitting into 2 or 3 nuclei
release of neutrons release of energy
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Neutron Emission Radioactive decay where neutron ejected from nucleus
No change in Z so same element Becomes new isotope Generally short half life
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