RADIOACTIVITY 12 SACE PHYSICS-STAGE 2 SECTION 4 TOPIC 3 PRINCE ALFRED COLLEGE
RADIOACTIVITY <ul><li>Henri Becquerel, a French physicist was working with potassium uranyl sulfate (a very fluorescent co...
RADIOACTIVITY <ul><li>He placed samples of the salt on photographic plate wrapped in light tight black paper. After leavin...
RADIOACTIVITY <ul><li>He repeated the same experiment on a cloudy day and since there was no sun, there should be no UV to...
RADIOACTIVITY <ul><li>The reason why the plates were fogged was that the Uranium was emitting particles to become more sta...
RADIOACTIVITY <ul><li>The Curies (Marie and Pierre), were interested in his work  and named it “Radioactivity”. </li></ul>
RADIOACTIVITY <ul><li>They continued the work and managed to discover two new elements polonium (named after Marie’s homel...
RADIOACTIVITY <ul><li>It has been determined that many isotopes of radioactive nuclei are unstable. They become more stabl...
NEUTRON/PROTON STABILITY <ul><li>By comparing stable nuclei, we can examine their neutron/proton ratio. This is shown on t...
NEUTRON/PROTON STABILITY <ul><li>Anything off the line will spontaneously decay.  </li></ul><ul><li>For light elements (up...
NEUTRON/PROTON STABILITY <ul><li>This suggests that protons and neutrons bind in pairs. </li></ul><ul><li>However, as the ...
NEUTRON/PROTON STABILITY <ul><li>Eventually, at 84 protons, no amount of neutrons can dilute the repulsive force and all e...
NEUTRON/PROTON STABILITY <ul><li>Remember, the reason why a nucleus stays together is because of the strong NUCLEAR FORCES...
NEUTRON/PROTON STABILITY <ul><li>At low atomic numbers (under 20), the attractive nuclear forces overcome the repulsive el...
NEUTRON/PROTON STABILITY <ul><li>At higher atomic numbers (between 20 and 84), the nucleus gets larger. </li></ul><ul><li>...
NEUTRON/PROTON STABILITY <ul><li>This is why elements with high atomic numbers have a greater number of neutrons than prot...
THE FOUR TYPES OF RADIOACTIVE DECAY <ul><li>There are four types of radioactive decay included in the syllabus. </li></ul>...
ALPHA DECAY <ul><li>Very heavy nuclei are often unstable as they contain too many protons.  </li></ul><ul><li>Typical alph...
ALPHA DECAY <ul><li>When a nucleus undergoes alpha decay, the parent nucleus will suffer a decrease in atomic number ( Z )...
ALPHA DECAY <ul><li>An example is: </li></ul><ul><li>Parent  Daughter </li></ul><ul><li>This is a “Nuclear Reaction” as ne...
ALPHA DECAY <ul><li>Note, the sum of the atomic numbers and the mass numbers are the same on both sides of the equation. C...
ALPHA DECAY <ul><li>Alpha particles have a relatively high mass and so are ejected with a moderate speed, typically about ...
ALPHA DECAY <ul><li>A thin piece of cardboard is enough to stop a beam of alpha particles. </li></ul><ul><li>As alpha part...
ALPHA DECAY <ul><li>When alpha particles come near atoms, they are strongly ionising.  </li></ul><ul><li>Their high charge...
ALPHA DECAY <ul><li>Alpha particles are emitted with quantised energy, which suggests that the nucleus may have a discrete...
DISCRETE ENERGY LEVELS <ul><li>Let’s take a look at the alpha decay of Radium to Radon. </li></ul><ul><li>Radium decays to...
DISCRETE ENERGY LEVELS <ul><ul><li>This suggests that the nucleons are arranged in the nucleus into energy shells (just li...
DISCRETE ENERGY LEVELS <ul><li> -particles are ejected at certain discrete velocities (energies). The energy depends on w...
DISCRETE ENERGY LEVELS <ul><li>Example: In the diagram,  Ra 226   decays giving off an   B  particle that has a specific ...
DISCRETE ENERGY LEVELS <ul><li>The Rn 222  then might return to the ground state giving off a photon of energy in the MeV ...
THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON     DECAY <ul><li>As alpha particles are positively charged, they will be ...
THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON     DECAY <ul><li>This is in contrast to  gamma rays or an x-ray  that wou...
THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON     DECAY <ul><li>In a magnetic field, the deflection can be either upward...
THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON     DECAY
THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON     DECAY <ul><li>Note- gamma photon radiation has no charge, therefore it...
BETA DECAY <ul><li>Nuclei that have an imbalance of protons or neutrons can be unstable and also undergo radioactive decay...
BETA +   DECAY <ul><li>BETA +  DECAY  (too many protons)- </li></ul><ul><li>When a nucleus has to increase its neutron num...
BETA +   DECAY <ul><li>An electron (positively charged) is ejected with a neutrino. </li></ul><ul><li>The positive electro...
BETA +   DECAY <ul><li>On the line stability on the graph, any atom below the line would decay this way. </li></ul>B +
BETA +   DECAY <ul><li>In the nucleus, the reaction is: </li></ul><ul><li>An example of this is: </li></ul><ul><li>Beta + ...
BETA +   DECAY <ul><li>Notice that both mass and charge are conserved. </li></ul><ul><li>A ‘ positron ’, a positively char...
BETA +   DECAY <ul><li>The positron is known as the  B +  particle. </li></ul><ul><li>A  Neutrino   (v) is also released. ...
BETA -   DECAY <ul><li>B -  DECAY  – (Too many neutrons). </li></ul><ul><li>If a neutron is converted to a proton to becom...
BETA -   DECAY <ul><li>This time the atomic number increases by one but the mass number remains constant.  </li></ul><ul><...
BETA -   DECAY <ul><li>The reaction is… </li></ul><ul><li>In the nucleus, the reaction is: </li></ul><ul><li>This would be...
BETA -   DECAY <ul><li>An example of this is: </li></ul><ul><li>Beta - Decay Example </li></ul><ul><li>The neutron has a h...
PENETRATING POWERS OF BETA PARTICLES <ul><li>Once free of the nucleus, beta particles are found to be more penetrating tha...
PENETRATING POWERS OF BETA PARTICLES <ul><li>As they have lower mass than an alpha particle but the same kinetic energy, t...
PENETRATING POWERS OF BETA PARTICLES
THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON    PARTICLES <ul><li>Beta particles are charged like alpha particles and s...
THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON    PARTICLES <ul><li>As their charge can be either negative or positive, t...
THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON    PARTICLES <ul><li>In a magnetic field, their paths will be circular.  <...
SUMMARY OF   + ,   - , and    DECAY <ul><li>The way in which a radioactive isotope decays can be predicted.  </li></ul>...
SUMMARY OF   + ,   - , and    DECAY <ul><li>Any nuclei with an atomic number greater than 83 will decay by alpha decay....
SUMMARY OF   + ,   - , and    DECAY <ul><li>Any nuclei with an excess of protons will decay by beta plus decay (  + )....
SUMMARY OF   + ,   - , and    DECAY <ul><li>Below is a summary of how an electron can be ejected from an atom. </li></u...
NEUTRINOS AND ANTINEUTRINOS <ul><li>Beta particles are emitted with a range of energies up to a maximum of a few MeV. </li...
NEUTRINOS AND ANTINEUTRINOS <ul><li>This did not obey the law of conservation of energy.  </li></ul><ul><li>Other experime...
NEUTRINOS AND ANTINEUTRINOS <ul><li>In 1934 Enrico Fermi developed the theory of beta decay and that the conservation laws...
NEUTRINOS AND ANTINEUTRINOS <ul><li>He called this particle a neutrino (Italian for ‘little neutral one’).  </li></ul><ul>...
NEUTRINOS AND ANTINEUTRINOS
NEUTRINOS AND ANTINEUTRINOS <ul><li>Using the conservation laws, he postulated the properties for the neutrino. </li></ul>...
NEUTRINOS AND ANTINEUTRINOS <ul><ul><li> Neutrinos react very weakly with matter. It took 25 years to detect them and the...
NEUTRINOS AND ANTINEUTRINOS <ul><ul><li> Neutrinos travel at the speed of light. As they have no mass but have energy, th...
NEUTRINOS AND ANTINEUTRINOS <ul><li>The neutrino was accepted readily as it solved awkward problems but was not discovered...
GAMMA DECAY  <ul><li>Gamma decay is the release of energy from an excited nucleus in the form of high-energy photons and u...
GAMMA DECAY <ul><li>If gamma decay is to occur, the daughter nucleus from alpha or beta decay is left in an excited state....
GAMMA DECAY <ul><li>When caesium-137 beta decays into barium 137, it is usually left in a metastable state (the nucleus is...
GAMMA DECAY <ul><li>Beta minus decay. </li></ul><ul><li>Gamma Decay. </li></ul><ul><li>Gamma Decay </li></ul>
GAMMA DECAY <ul><li>The half life of the Beta decay is 30.6 years while the half life of the Gamma decay is only 2.6 minut...
GAMMA DECAY <ul><li>X-rays come from electron transitions outside the nucleus, while gamma rays come from the nuclear proc...
GAMMA DECAY <ul><li>The properties of gamma rays include: </li></ul><ul><ul><li> As they are high energy e-m radiation, t...
GAMMA DECAY <ul><ul><li> They can penetrate several centimetres of lead or concrete before being absorbed. 4 cm of lead r...
Image from Fermi Gamma ray Telescope (2008)
 
HALF-LIFE AND ACTIVITY <ul><li>Radioactive decay is a completely random process.  </li></ul><ul><li>No one can predict whe...
HALF-LIFE AND ACTIVITY <ul><li>We can define a constant for the decay of a particular isotope, which is called the  half-l...
HALF-LIFE AND ACTIVITY <ul><li>An example would be the half-life of tritium ( 1 H 3 ), which is 12.5 years.  </li></ul><ul...
HALF-LIFE AND ACTIVITY <ul><li>After 25 years, one quarter (25g) will be left. </li></ul><ul><li>After 37.5 years there wi...
HALF-LIFE AND ACTIVITY <ul><li>The decay curve is exponential. The only difference from one sample to another is the value...
HALF-LIFE AND ACTIVITY <ul><li>The half-life does not indicate when a particular atom will decay but how many atoms will d...
EXAMPLE 1 <ul><ul><li>(a) Radium-226 has a half-life of 1622 years. A sample contains 25g of this radium isotope. How much...
EXAMPLE 1 SOLUTION <ul><ul><li>(a)  3244 years is 2 half lives (2 x 1622) </li></ul></ul><ul><ul><li>  N =  N o (1/2) n </...
EXAMPLE 1 SOLUTION <ul><ul><li>The activity of a radioactive sample is directly proportional to the number of remaining at...
EXAMPLE 2 <ul><li>A Geiger counter is placed near a source of short lifetime radioactive atoms, and the detection count fo...
EXAMPLE 2 <ul><li>Interval Count </li></ul><ul><li>1. 12456 </li></ul><ul><li>2. 7804 </li></ul><ul><li>3. 5150 </li></ul>...
EXAMPLE 2 SOLUTION <ul><li>The data are plotted on a graph with the point placed at the end of the time interval since the...
EXAMPLE 2 SOLUTION <ul><li>A line of best fit is drawn through the points, and the time is determined for a count rate of ...
EXAMPLE 2 SOLUTION <ul><li>t (12 000) =  30s </li></ul><ul><li>t (  6000) =  72s, so  t 1/2  (1) =  42s </li></ul><ul><li>...
EXAMPLE 2 SOLUTION <ul><li>Since we have two values, an average is taken.   </li></ul>
EFFECT OF IONISING RADIATION  ON LIVING MATTER   <ul><li>Besides alpha, beta and gamma radiation, there are other types of...
EFFECT OF IONISING RADIATION  ON LIVING MATTER <ul><li>Particles such as alpha, beta particles and protons are all charged...
EFFECT OF IONISING RADIATION  ON LIVING MATTER <ul><li>It can be seen that many alpha particles are released every second ...
EFFECT OF IONISING RADIATION  ON LIVING MATTER <ul><li>Neutral particles such as neutrons can only ionise atoms by direct ...
EFFECT OF IONISING RADIATION  ON LIVING MATTER <ul><li>This breaks bonds and produces structural damage to the tissue.  </...
EFFECT OF IONISING RADIATION  ON LIVING MATTER <ul><li>High-energy photons such as X-rays and gamma rays can remove electr...
IONISING RADIATION  DAMAGE TO LIVING MATTER <ul><li>Removing electrons from atoms can… </li></ul><ul><li>- Cause molecules...
IONISING RADIATION  DAMAGE TO NON-LIVING MATTER <ul><li>Ionising radiation can affect non-living material. </li></ul><ul><...
POSITRON EMISSION TOMOGRAPHY - PET   <ul><li>What is PET? </li></ul><ul><li>Nuclear medical imaging technique </li></ul><u...
POSITRON EMISSION TOMOGRAPHY - PET   <ul><li>Examines chemical activity for: </li></ul><ul><ul><li>cancers, </li></ul></ul...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>.Why is PET special? </li></ul><ul><li>Unique radiopharmaceuticals  (radioisoto...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Involves a  radiopharmaceutical injected into the bloodstream </li></ul><ul><li...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Radiopharmaceuticals absorbed by areas of interest e.g. tumours </li></ul><ul><...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Man made radioactivity “Neutron poor” - does not happen in nature accelerator -...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Radiopharmaceuticals are produced by: </li></ul><ul><ul><li>Firing protons or d...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Positron antimatter </li></ul><ul><li>Annihilates electron   </li></ul>
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Annihilation must obey conservation laws </li></ul><ul><li>Charge </li></ul><ul...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Only final system which allows these conditions is: </li></ul><ul><ul><li>2 gam...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>E = mc 2 </li></ul><ul><li>E = 9.10938188 x 10 -31  x (3.00 x 10 8 ) 2 </li></u...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Photons from annihilation are detected, not positrons. </li></ul><ul><li>180° s...
PET CAMERAS Full ring multicrystal Part-ring multicrystal Full-ring NaI Gamma Cameras Coincidence  Collimated 16cm   25cm ...
Different Detectors 38cm 38cm 16cm 16cm 38cm 25cm Single photon Slow insensitive Fast Insensitive Resolution Optimal Most ...
Detector block Crystal Photo- multipliers
Detecting Gamma Photons
What do you see?
What do you see?
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>What is FDG? </li></ul><ul><li>Fluorodeoxyglucose </li></ul><ul><li>2-fluoro-2d...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Radioactive  18 F is used so that the glucose produces gamma rays for detection...
Normal FDG Uptake   High:     - Brain   - Urinary tract   (bladder, kidneys)  Medium:     - Liver   - Muscle   - Bone marr...
Normal FDG Uptake Muscle Muscle High:   - Renal system Medium:     - Muscles Attenuation Corrected Scans
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Influenced by Insulin, Blood Glucose etc </li></ul><ul><li>Phosphorylated but n...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Another radioisotope which is used is: </li></ul><ul><li>Oxygen 15 </li></ul><u...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Uses  15 O labelled gaseous tracers </li></ul><ul><ul><li>CO 2 , CO, O 2 </li><...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Easiest is  14 N </li></ul><ul><ul><li>Lowest energy required </li></ul></ul><u...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>15 O Half-life </li></ul><ul><li>2 minutes </li></ul><ul><ul><li>Must be create...
Old Technique! Lawrence invented  cyclotron in 1930! Lawrence 1938
PET  Study 1952 Brownell & Aronow
PET at the RAH 1968 18 F bone scan
Modern PET Scanner
Modern PET Scanner
World PET Numbers (July 2000) Cameras Per Million Belgium 18 1.78 Germany 80 0.97 Switzerland 7 0.95 Denmark 4 0.75 Sweden...
CT Acquisition
PET Emission acquisition
Combined PET-CT
Co-incident Detection
Normal Brain
Alzheimer’s
Brain Tumours <ul><li>Viable tumour </li></ul>
Case Study 1:  Lymphoma There is a focal region of increased activity in the mid to lower left lung laterally, consistent ...
Case Study 3:  Lymphoma
Case Study 5:  Head and Neck Cancer Metastatic lymphadenopathy is seen in two mid right cervial nodes, one upper left cerv...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>As radiopharmaceuticals have short half lives </li></ul><ul><ul><li>Cyclotron m...
Source of Tracer Cyclotrons PET scanners
1 2 3 4 5 POSITRON EMISSION TOMOGRAPHY - PET 55 Minutes between patients, 5mCi dose
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Cyclotrons and PET at the Austin </li></ul><ul><li>PET is a perfect example of ...
POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Question could include: </li></ul><ul><ul><li>Production of radioisotopes </li>...
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Radioactivity 07

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This powerpoint relates to Topic 3 Section 4 of the SACE in South Australia

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  • Slide 20 - 24 The following slides show normal uptake of FDG in the body. High uptake will be found in brain and the renal system like kidneys, urethra and bladder. Medium uptake is seen normally in liver, muscles and bones. Normally there should be low or no uptake in lungs and and possibly low or no uptake in bones. The cardiac uptake varies from high to none as well the bowel activity.
  • Radioactivity 07

    1. 1. RADIOACTIVITY 12 SACE PHYSICS-STAGE 2 SECTION 4 TOPIC 3 PRINCE ALFRED COLLEGE
    2. 2. RADIOACTIVITY <ul><li>Henri Becquerel, a French physicist was working with potassium uranyl sulfate (a very fluorescent compound) in the 1890’s. </li></ul>
    3. 3. RADIOACTIVITY <ul><li>He placed samples of the salt on photographic plate wrapped in light tight black paper. After leaving it in the sun for a while, the plate was developed. </li></ul><ul><li>As the plate was ‘fogged’, he assumed that X-rays were produced. </li></ul>
    4. 4. RADIOACTIVITY <ul><li>He repeated the same experiment on a cloudy day and since there was no sun, there should be no UV to cause the fluorescence and so no X-rays produced. </li></ul><ul><li>However, the plates were ‘fogged’. Becquerel had stumbled upon the fact that something in the salt was unstable (Uranium). </li></ul>
    5. 5. RADIOACTIVITY <ul><li>The reason why the plates were fogged was that the Uranium was emitting particles to become more stable. </li></ul><ul><li>We call this phenomena radioactivity. </li></ul>
    6. 6. RADIOACTIVITY <ul><li>The Curies (Marie and Pierre), were interested in his work and named it “Radioactivity”. </li></ul>
    7. 7. RADIOACTIVITY <ul><li>They continued the work and managed to discover two new elements polonium (named after Marie’s homeland) and radium (named due to its intense radioactivity). </li></ul>
    8. 8. RADIOACTIVITY <ul><li>It has been determined that many isotopes of radioactive nuclei are unstable. They become more stable by emitting sub atomic particles or photons. </li></ul><ul><li>Radioactive nuclei decay by the emission of alpha or beta particles or gamma radiation. These methods will be covered in more detail later. </li></ul>
    9. 9. NEUTRON/PROTON STABILITY <ul><li>By comparing stable nuclei, we can examine their neutron/proton ratio. This is shown on the graph where protons are on the x-axis and neutrons are on the y-axis. The line shows stable isotopes. </li></ul>
    10. 10. NEUTRON/PROTON STABILITY <ul><li>Anything off the line will spontaneously decay. </li></ul><ul><li>For light elements (up to approx. 20) the N/Z ratio is close to 1. </li></ul><ul><li>Towards the top end, the ratio is more like 1.6/1. </li></ul>
    11. 11. NEUTRON/PROTON STABILITY <ul><li>This suggests that protons and neutrons bind in pairs. </li></ul><ul><li>However, as the line curves upwards, more neutrons are needed to overcome the repulsive force between protons. </li></ul>
    12. 12. NEUTRON/PROTON STABILITY <ul><li>Eventually, at 84 protons, no amount of neutrons can dilute the repulsive force and all elements above Z = 84 are radioactive. </li></ul><ul><li>Elements Z = 84 to 92 can be found in the Earth’s crust but above 92 the nuclei are too unstable to still be present in the crust. </li></ul>
    13. 13. NEUTRON/PROTON STABILITY <ul><li>Remember, the reason why a nucleus stays together is because of the strong NUCLEAR FORCES found between NUCLEONS (Neutrons and/or protons). </li></ul><ul><li>We discussed this in the last topic (topic 2). </li></ul><ul><li>The ELECTRICAL REPULSION between like charged (positive) protons tries to tear the nucleus apart. </li></ul>
    14. 14. NEUTRON/PROTON STABILITY <ul><li>At low atomic numbers (under 20), the attractive nuclear forces overcome the repulsive electrical forces within the nucleus. </li></ul><ul><li>The protons and neutrons exist in a 1 to 1 ratio. </li></ul>
    15. 15. NEUTRON/PROTON STABILITY <ul><li>At higher atomic numbers (between 20 and 84), the nucleus gets larger. </li></ul><ul><li>The repulsive electrical forces act between all protons </li></ul><ul><li>The attractive nuclear forces are only found between adjacent nucleons. </li></ul><ul><li>The nucleus needs more neutrons to create a stronger nuclear force without adding to the repulsive electrical force. </li></ul>
    16. 16. NEUTRON/PROTON STABILITY <ul><li>This is why elements with high atomic numbers have a greater number of neutrons than protons. </li></ul><ul><li>Eventually the nucleus gets so large (atomic number = 84) that no number of neutrons would create enough of a attractive nuclear force to counteract the high number of protons. </li></ul><ul><li>The nucleus then becomes unstable and will eventually break apart. This is called radioactive decay. </li></ul>
    17. 17. THE FOUR TYPES OF RADIOACTIVE DECAY <ul><li>There are four types of radioactive decay included in the syllabus. </li></ul><ul><li>They are: </li></ul><ul><ul><li>alpha, </li></ul></ul><ul><ul><li>beta minus </li></ul></ul><ul><ul><li>beta plus </li></ul></ul><ul><ul><li>gamma decay. </li></ul></ul>
    18. 18. ALPHA DECAY <ul><li>Very heavy nuclei are often unstable as they contain too many protons. </li></ul><ul><li>Typical alpha emitters have an atomic number > lead (82). </li></ul><ul><li>Alpha particles are helium nuclei . </li></ul><ul><li>Alpha particles are emitted, as they are extremely stable. They have high binding energy. </li></ul>
    19. 19. ALPHA DECAY <ul><li>When a nucleus undergoes alpha decay, the parent nucleus will suffer a decrease in atomic number ( Z ) of two and a decrease of four in mass number ( A ). </li></ul><ul><li>The daughter nucleus is now a different element. </li></ul><ul><li>Alpha Decay Example </li></ul>
    20. 20. ALPHA DECAY <ul><li>An example is: </li></ul><ul><li>Parent Daughter </li></ul><ul><li>This is a “Nuclear Reaction” as new elements have been produced. </li></ul><ul><li>The daughter nucleus will be more stable than the parent nucleus (the daughter nucleus has a lower atomic number). </li></ul>
    21. 21. ALPHA DECAY <ul><li>Note, the sum of the atomic numbers and the mass numbers are the same on both sides of the equation. Conservation laws still hold. </li></ul><ul><li>The above equation is EXOTHERMIC as there is a loss of mass in the reaction. The energy produced goes to the alpha particle as kinetic energy. </li></ul>
    22. 22. ALPHA DECAY <ul><li>Alpha particles have a relatively high mass and so are ejected with a moderate speed, typically about 2 x 10 7 ms -1 . </li></ul><ul><li>Because their charge is high (2+) and speed low, they interact with matter easily, thus they are able to penetrate air only by a few centimetres. </li></ul>
    23. 23. ALPHA DECAY <ul><li>A thin piece of cardboard is enough to stop a beam of alpha particles. </li></ul><ul><li>As alpha particles do have large amounts of kinetic energy, they can damage human flesh by destroying parts of cells on impact. </li></ul>
    24. 24. ALPHA DECAY <ul><li>When alpha particles come near atoms, they are strongly ionising. </li></ul><ul><li>Their high charge means they can displace electrons easily leaving behind an ion pair (an ion and free electron). </li></ul><ul><li>This will slow an alpha particle down. </li></ul>
    25. 25. ALPHA DECAY <ul><li>Alpha particles are emitted with quantised energy, which suggests that the nucleus may have a discrete energy level structure. </li></ul>
    26. 26. DISCRETE ENERGY LEVELS <ul><li>Let’s take a look at the alpha decay of Radium to Radon. </li></ul><ul><li>Radium decays to Radon at different energy levels. </li></ul>
    27. 27. DISCRETE ENERGY LEVELS <ul><ul><li>This suggests that the nucleons are arranged in the nucleus into energy shells (just like electrons). </li></ul></ul>
    28. 28. DISCRETE ENERGY LEVELS <ul><li> -particles are ejected at certain discrete velocities (energies). The energy depends on which level the Radium decays to in the Radon. </li></ul>
    29. 29. DISCRETE ENERGY LEVELS <ul><li>Example: In the diagram, Ra 226 decays giving off an  B particle that has a specific Kinetic Energy when it decays to Rn 222 in the 2 nd excited state. </li></ul>
    30. 30. DISCRETE ENERGY LEVELS <ul><li>The Rn 222 then might return to the ground state giving off a photon of energy in the MeV range called a GAMMA PHOTON (  ) </li></ul>
    31. 31. THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON  DECAY <ul><li>As alpha particles are positively charged, they will be deflected by electric fields and magnetic fields. </li></ul><ul><li>The force they experience can be found from F = E q . </li></ul>
    32. 32. THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON  DECAY <ul><li>This is in contrast to gamma rays or an x-ray that would not be deflected by an electric field because they do not have a charge. </li></ul><ul><li>The path of the alpha particle is parabolic. As the mass of an alpha particle is relatively large, the acceleration is low compared to other forms of radiation. </li></ul>
    33. 33. THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON  DECAY <ul><li>In a magnetic field, the deflection can be either upwards or downwards (depending on the direction of the field), in a circular path. The force can be found by F = B q v . </li></ul>Direction of Current
    34. 34. THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON  DECAY
    35. 35. THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON  DECAY <ul><li>Note- gamma photon radiation has no charge, therefore it is not affected by electric or magnetic fields, it instead passes straight through them. </li></ul><ul><li>Remember that the reason an atom undergoes alpha decay is because it has too many protons or neutrons. </li></ul><ul><li>It therefore ejects a helium nucleus. </li></ul>
    36. 36. BETA DECAY <ul><li>Nuclei that have an imbalance of protons or neutrons can be unstable and also undergo radioactive decay. </li></ul><ul><li>The process involves the change of a proton into a neutron or more commonly a neutron into a proton with the ejection of an electron from the nucleus. </li></ul><ul><li>This decay is called beta decay, and the electron is referred to as a beta particle. </li></ul>
    37. 37. BETA + DECAY <ul><li>BETA + DECAY (too many protons)- </li></ul><ul><li>When a nucleus has to increase its neutron number to become more stable, a proton can spontaneously change into a neutron. </li></ul>Alpha decay B - B + Stable Isotopes
    38. 38. BETA + DECAY <ul><li>An electron (positively charged) is ejected with a neutrino. </li></ul><ul><li>The positive electron is called a positron and is an example of antimatter. The atomic number is reduced by one but the mass number is unaffected. </li></ul>
    39. 39. BETA + DECAY <ul><li>On the line stability on the graph, any atom below the line would decay this way. </li></ul>B +
    40. 40. BETA + DECAY <ul><li>In the nucleus, the reaction is: </li></ul><ul><li>An example of this is: </li></ul><ul><li>Beta + Decay Example </li></ul>
    41. 41. BETA + DECAY <ul><li>Notice that both mass and charge are conserved. </li></ul><ul><li>A ‘ positron ’, a positively charged electron (the same mass as an electron) is ejected. </li></ul><ul><li>The positron is an example of antimatter (“opposite of”). </li></ul><ul><li>This is known as ‘ proton decay ”. </li></ul>
    42. 42. BETA + DECAY <ul><li>The positron is known as the B + particle. </li></ul><ul><li>A Neutrino (v) is also released. We will discuss the purpose of the Neutrino later in the topic. </li></ul><ul><li>Note a new element is formed. There are no natural positron emitters since positron half-lives are very small. </li></ul><ul><li>Note - as the 13 N might decay into a metastable form of 13 C, the 13 C could then drop down to a more stable state, giving off a GAMMA RAY. </li></ul>
    43. 43. BETA - DECAY <ul><li>B - DECAY – (Too many neutrons). </li></ul><ul><li>If a neutron is converted to a proton to become more stable and decrease neutron numbers, a normal negative electron is created and the anti neutrino ( ) is also ejected. </li></ul>B -
    44. 44. BETA - DECAY <ul><li>This time the atomic number increases by one but the mass number remains constant. </li></ul><ul><li>On the line stability on the graph, any atom above the line would decay this way. </li></ul>B -
    45. 45. BETA - DECAY <ul><li>The reaction is… </li></ul><ul><li>In the nucleus, the reaction is: </li></ul><ul><li>This would be considered to be neutron decay . </li></ul>
    46. 46. BETA - DECAY <ul><li>An example of this is: </li></ul><ul><li>Beta - Decay Example </li></ul><ul><li>The neutron has a half-life of about 1000 seconds (16.5 minutes) while the proton, electron and neutrino are all stable. </li></ul><ul><li>Some recent research suggests the proton has a half -life of 10 30 years, which is long enough to be of no concern to us. </li></ul>
    47. 47. PENETRATING POWERS OF BETA PARTICLES <ul><li>Once free of the nucleus, beta particles are found to be more penetrating than alpha particles. </li></ul><ul><li>They have a range of up to several metres in air but are absorbed by light metals such as aluminium. </li></ul>
    48. 48. PENETRATING POWERS OF BETA PARTICLES <ul><li>As they have lower mass than an alpha particle but the same kinetic energy, they travel at higher speeds (near speed of light). </li></ul><ul><li>As they have high speeds but only a single charge, they are less interactive with matter so they are less ionising than alpha particles. </li></ul>
    49. 49. PENETRATING POWERS OF BETA PARTICLES
    50. 50. THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON  PARTICLES <ul><li>Beta particles are charged like alpha particles and so can be deflected by electric and magnetic fields. </li></ul>Electron Positron
    51. 51. THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON  PARTICLES <ul><li>As their charge can be either negative or positive, they can be deflected towards the negative or positive plates in a uniform electric field. </li></ul>
    52. 52. THE EFFECTS OF ELECTRIC AND MAGNETIC FIELDS ON  PARTICLES <ul><li>In a magnetic field, their paths will be circular. </li></ul><ul><li>As their masses are exactly the same, the radius of curvature will also be exactly the same. </li></ul>Electron Positron
    53. 53. SUMMARY OF  + ,  - , and  DECAY <ul><li>The way in which a radioactive isotope decays can be predicted. </li></ul><ul><li>The stability line diagram gives a clue to the general decay patterns. </li></ul>
    54. 54. SUMMARY OF  + ,  - , and  DECAY <ul><li>Any nuclei with an atomic number greater than 83 will decay by alpha decay. </li></ul><ul><li>Any nuclei with an excess of neutrons will decay by beta minus decay (  -) . It is above the line of stability. </li></ul>Alpha Decay
    55. 55. SUMMARY OF  + ,  - , and  DECAY <ul><li>Any nuclei with an excess of protons will decay by beta plus decay (  + ). It is below the line of stability. </li></ul>
    56. 56. SUMMARY OF  + ,  - , and  DECAY <ul><li>Below is a summary of how an electron can be ejected from an atom. </li></ul><ul><ul><li>(a) Photoelectric effect </li></ul></ul><ul><ul><li>(b) Thermionic emission </li></ul></ul><ul><ul><li>(c) Radioactive decay </li></ul></ul><ul><li>Note (a) and (b) involve outer orbital electrons, while (c) involves a change in the nucleus. </li></ul>
    57. 57. NEUTRINOS AND ANTINEUTRINOS <ul><li>Beta particles are emitted with a range of energies up to a maximum of a few MeV. </li></ul><ul><li>It seemed strange that the electrons with the maximum kinetic energy carried away all the available energy, yet those with less than he maximum kinetic energy appeared to have energy missing. </li></ul>
    58. 58. NEUTRINOS AND ANTINEUTRINOS <ul><li>This did not obey the law of conservation of energy. </li></ul><ul><li>Other experiments with momentum confirmed that linear momentum was not conserved . </li></ul>7 N 14 6 C 14 e - Speed and direction of the electron if momentum was conserved. e - Actual speed and direction of the electron.
    59. 59. NEUTRINOS AND ANTINEUTRINOS <ul><li>In 1934 Enrico Fermi developed the theory of beta decay and that the conservation laws did hold because there was a particle that had yet to be detected carrying the lost energy and momentum. </li></ul>
    60. 60. NEUTRINOS AND ANTINEUTRINOS <ul><li>He called this particle a neutrino (Italian for ‘little neutral one’). </li></ul><ul><li>The antimatter of the neutrino ( ) is the antineutrino ( ). </li></ul>
    61. 61. NEUTRINOS AND ANTINEUTRINOS
    62. 62. NEUTRINOS AND ANTINEUTRINOS <ul><li>Using the conservation laws, he postulated the properties for the neutrino. </li></ul><ul><ul><li> Neutrinos are uncharged. This is because charge is already conserved. A neutron decays into a proton and an electron. </li></ul></ul><ul><ul><li> Neutrinos have zero rest mass but carry energy and momentum. The conservation laws would not hold otherwise. </li></ul></ul>
    63. 63. NEUTRINOS AND ANTINEUTRINOS <ul><ul><li> Neutrinos react very weakly with matter. It took 25 years to detect them and there are millions of neutrinos that pass through the Earth from the sun as if the Earth was not there. This is because they have no real mass or charge. </li></ul></ul><ul><ul><li>Finding Neutrinos (Open Explorer) </li></ul></ul>
    64. 64. NEUTRINOS AND ANTINEUTRINOS <ul><ul><li> Neutrinos travel at the speed of light. As they have no mass but have energy, they must travel at the maximum speed possible - the speed of light. </li></ul></ul>
    65. 65. NEUTRINOS AND ANTINEUTRINOS <ul><li>The neutrino was accepted readily as it solved awkward problems but was not discovered until 1956. </li></ul><ul><li>It is given the symbol  (the Greek letter nu) and has zero atomic number and mass number. </li></ul><ul><li>Beta decay can now be more fully described. </li></ul>
    66. 66. GAMMA DECAY <ul><li>Gamma decay is the release of energy from an excited nucleus in the form of high-energy photons and usually accompanies alpha or beta decay. </li></ul><ul><li>Refer to our discussion earlier in the topic where Radium-226 decays to Radon-222 with the ejection off an alpha particle PLUS A GAMMA PHOTON. </li></ul>
    67. 67. GAMMA DECAY <ul><li>If gamma decay is to occur, the daughter nucleus from alpha or beta decay is left in an excited state. </li></ul><ul><li>To become stable, energy is released without a change in atomic or mass number. </li></ul>
    68. 68. GAMMA DECAY <ul><li>When caesium-137 beta decays into barium 137, it is usually left in a metastable state (the nucleus is left in an excited state). </li></ul><ul><li>The barium then undergoes gamma decay. ( m indicates an excited nucleus). </li></ul>
    69. 69. GAMMA DECAY <ul><li>Beta minus decay. </li></ul><ul><li>Gamma Decay. </li></ul><ul><li>Gamma Decay </li></ul>
    70. 70. GAMMA DECAY <ul><li>The half life of the Beta decay is 30.6 years while the half life of the Gamma decay is only 2.6 minutes. </li></ul><ul><li>The energy contained in gamma photons is less than 1 MeV with values being as low as a few keV common. The wavelengths of gamma rays are in the region of 10 -9 to 10 -14 m. </li></ul><ul><li>This means the wavelengths of gamma rays and X-rays are similar, their distinction is their source. </li></ul>
    71. 71. GAMMA DECAY <ul><li>X-rays come from electron transitions outside the nucleus, while gamma rays come from the nuclear process. </li></ul><ul><li>Gamma decay results in several photons of discrete energies being created so specific gamma sources will produce specific gamma photons (a line spectrum). </li></ul>
    72. 72. GAMMA DECAY <ul><li>The properties of gamma rays include: </li></ul><ul><ul><li> As they are high energy e-m radiation, they have high frequency and short wavelength and travel at the speed of light. This means they are extremely penetrating like X-rays. </li></ul></ul><ul><ul><li> Their range in air, depending on frequency, can be a number of metres. </li></ul></ul>
    73. 73. GAMMA DECAY <ul><ul><li> They can penetrate several centimetres of lead or concrete before being absorbed. 4 cm of lead reduces the intensity of a gamma ray beam by 10%. </li></ul></ul><ul><ul><li> They carry no charge and are undeflected by electric and magnetic fields and are therefore only weakly ionising. They cannot attract electrons but can knock them out similar to the photoelectric effect. </li></ul></ul>
    74. 74. Image from Fermi Gamma ray Telescope (2008)
    75. 76. HALF-LIFE AND ACTIVITY <ul><li>Radioactive decay is a completely random process. </li></ul><ul><li>No one can predict when a particular nucleus will decay into its daughter. </li></ul><ul><li>Statistics however, allow us to predict the behaviour of large samples of radioactive isotopes. </li></ul>
    76. 77. HALF-LIFE AND ACTIVITY <ul><li>We can define a constant for the decay of a particular isotope, which is called the half-life . </li></ul><ul><li>This is defined as the time it takes for the activity of the isotope to fall to half of its previous value. </li></ul><ul><li>From a nuclear point of view, the half-life of a radioisotope is the time it takes half of the atoms of that isotope in a given sample to decay. </li></ul><ul><li>The unit for activity, Becquerel (Bq), is the number of decays per second. </li></ul>
    77. 78. HALF-LIFE AND ACTIVITY <ul><li>An example would be the half-life of tritium ( 1 H 3 ), which is 12.5 years. </li></ul><ul><li>For a 100g sample, there will be half left (50g) after 12.5 years. </li></ul>12.5 years 50 g
    78. 79. HALF-LIFE AND ACTIVITY <ul><li>After 25 years, one quarter (25g) will be left. </li></ul><ul><li>After 37.5 years there will be one eighth (12.5g) and so on. </li></ul><ul><li>Animation </li></ul><ul><li>Animation 2 (with sound) </li></ul>25 years 37.5 years 25 g 12.5 g
    79. 80. HALF-LIFE AND ACTIVITY <ul><li>The decay curve is exponential. The only difference from one sample to another is the value for the half-life. </li></ul><ul><li>NOT EXAMINABLE </li></ul><ul><li>If a sample initially contains N o atoms, then after n half-lives the number of remaining atoms, N , will be given by: </li></ul><ul><li>or </li></ul>
    80. 81. HALF-LIFE AND ACTIVITY <ul><li>The half-life does not indicate when a particular atom will decay but how many atoms will decay in a large sample. </li></ul><ul><li>Because of this, there will always be a ‘bumpy’ decay for small samples. </li></ul>
    81. 82. EXAMPLE 1 <ul><ul><li>(a) Radium-226 has a half-life of 1622 years. A sample contains 25g of this radium isotope. How much will be left after 3244 years? </li></ul></ul><ul><ul><li>(b) How many half-lives will it take before the activity of the sample falls to below 1% of its initial activity? How many years is this? </li></ul></ul>
    82. 83. EXAMPLE 1 SOLUTION <ul><ul><li>(a) 3244 years is 2 half lives (2 x 1622) </li></ul></ul><ul><ul><li> N = N o (1/2) n </li></ul></ul><ul><ul><li>= 25 x (1/2) 2 </li></ul></ul><ul><ul><li>= 25 x (1/4) </li></ul></ul><ul><ul><li>= 6.25 </li></ul></ul>
    83. 84. EXAMPLE 1 SOLUTION <ul><ul><li>The activity of a radioactive sample is directly proportional to the number of remaining atoms of the isotope. After t 1/2 , the activity falls to ½ the initial activity. After 2 t 1/2 , the activity is ¼. It is not till 7 half-lives have elapsed that the activity is 1/128 th of the initial activity. </li></ul></ul><ul><ul><li>So, 7 x 1622 = 11354 years </li></ul></ul>
    84. 85. EXAMPLE 2 <ul><li>A Geiger counter is placed near a source of short lifetime radioactive atoms, and the detection count for 30-second intervals is determined. Plot the data on a graph, and use it to find the half-life of the isotope. </li></ul>
    85. 86. EXAMPLE 2 <ul><li>Interval Count </li></ul><ul><li>1. 12456 </li></ul><ul><li>2. 7804 </li></ul><ul><li>3. 5150 </li></ul><ul><li>4. 3034 </li></ul><ul><li>5. 2193 </li></ul><ul><li>6. 1278 </li></ul><ul><li>7. 730 </li></ul>
    86. 87. EXAMPLE 2 SOLUTION <ul><li>The data are plotted on a graph with the point placed at the end of the time interval since the count reaches this value after the full 30 seconds. </li></ul>
    87. 88. EXAMPLE 2 SOLUTION <ul><li>A line of best fit is drawn through the points, and the time is determined for a count rate of 12 000 in 30 seconds. Then the time is determined for a count rate of 6000, and 3000. </li></ul>
    88. 89. EXAMPLE 2 SOLUTION <ul><li>t (12 000) = 30s </li></ul><ul><li>t ( 6000) = 72s, so t 1/2 (1) = 42s </li></ul><ul><li>t ( 3000) = 120s, so t 1/2 (2) = 48s </li></ul><ul><li>  The time difference should have be the half-life of the sample. </li></ul>
    89. 90. EXAMPLE 2 SOLUTION <ul><li>Since we have two values, an average is taken. </li></ul>
    90. 91. EFFECT OF IONISING RADIATION ON LIVING MATTER <ul><li>Besides alpha, beta and gamma radiation, there are other types of radiation that causes ionisation. </li></ul><ul><li>This includes X-rays, neutrons and protons. </li></ul><ul><li>Different types of radiation ionise atoms in different ways, however, the result on living tissue can be devastating. </li></ul>
    91. 92. EFFECT OF IONISING RADIATION ON LIVING MATTER <ul><li>Particles such as alpha, beta particles and protons are all charged themselves. As they pass through tissue, they can remove electrons using the coulombic force. </li></ul><ul><li>As the energies required to remove electrons is in the order of 10 eV and alpha particles have energies of 10MeV, one alpha particle has the ability to ionise many atoms. </li></ul>
    92. 93. EFFECT OF IONISING RADIATION ON LIVING MATTER <ul><li>It can be seen that many alpha particles are released every second and so the likelihood of damage is great. </li></ul>
    93. 94. EFFECT OF IONISING RADIATION ON LIVING MATTER <ul><li>Neutral particles such as neutrons can only ionise atoms by direct collision with an atom. It can collide with a nucleus and fuse with it. </li></ul><ul><li>This can make the nucleus unstable and then decay into new nuclei with large amounts of energy. They can then collide with other atoms and ionise them. </li></ul>
    94. 95. EFFECT OF IONISING RADIATION ON LIVING MATTER <ul><li>This breaks bonds and produces structural damage to the tissue. </li></ul><ul><li>Neutrons can also collide directly with electrons knocking them out and ionising the atoms. </li></ul>
    95. 96. EFFECT OF IONISING RADIATION ON LIVING MATTER <ul><li>High-energy photons such as X-rays and gamma rays can remove electrons in photoelectric interactions. </li></ul><ul><li>Gamma rays can be absorbed by the nucleus causing charged particles to be emitted with high energies causing further ionisation. </li></ul>
    96. 97. IONISING RADIATION DAMAGE TO LIVING MATTER <ul><li>Removing electrons from atoms can… </li></ul><ul><li>- Cause molecules in living tissue to break down. </li></ul><ul><li>- DNA can be affected, this can lead to defective cells. </li></ul><ul><li>- Genetic defects. </li></ul>
    97. 98. IONISING RADIATION DAMAGE TO NON-LIVING MATTER <ul><li>Ionising radiation can affect non-living material. </li></ul><ul><li>Plastics and paints often fade from high energy particles ionising the atoms within them. </li></ul><ul><li>Ionising radiation can be particularly devastating to materials used in space as there is no protection from our atmosphere. </li></ul>
    98. 99. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>What is PET? </li></ul><ul><li>Nuclear medical imaging technique </li></ul><ul><li>Produces 3D image which detects changes within tissues or organs. </li></ul>
    99. 100. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Examines chemical activity for: </li></ul><ul><ul><li>cancers, </li></ul></ul><ul><ul><li>heart problems </li></ul></ul><ul><ul><li>Depression </li></ul></ul><ul><ul><li>Alzheimer's disease </li></ul></ul><ul><ul><li>Epilepsy </li></ul></ul><ul><ul><li>Brain function after a stroke </li></ul></ul>
    100. 101. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>.Why is PET special? </li></ul><ul><li>Unique radiopharmaceuticals (radioisotopes) + </li></ul><ul><li>Unique imaging technique </li></ul><ul><ul><li>Equals </li></ul></ul><ul><li>Unique information </li></ul>
    101. 102. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Involves a radiopharmaceutical injected into the bloodstream </li></ul><ul><li>Radiopharmaceuticals become concentrated in body tissue </li></ul><ul><li>Different tissues take up different radiopharmaceuticals </li></ul><ul><ul><li>Different radiopharmaceuticals are required. </li></ul></ul>
    102. 103. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Radiopharmaceuticals absorbed by areas of interest e.g. tumours </li></ul><ul><li>They then decay emitting a positron </li></ul><ul><li>Collides with electron </li></ul><ul><li>Annihilates producing gamma photons </li></ul><ul><li>Detected by sensors </li></ul><ul><li>Location then determined. </li></ul>
    103. 104. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Man made radioactivity “Neutron poor” - does not happen in nature accelerator - cyclotron </li></ul>Protons Atomic weight Add proton (cyclotron)   
    104. 105. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Radiopharmaceuticals are produced by: </li></ul><ul><ul><li>Firing protons or deuterons into nucleus </li></ul></ul><ul><li>Use cyclotrons </li></ul><ul><ul><li>Or other particle accelerators </li></ul></ul><ul><li>Produces radioactive isotopes which decays by: </li></ul><ul><ul><li> + </li></ul></ul><ul><ul><li>Positron </li></ul></ul>
    105. 106. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Positron antimatter </li></ul><ul><li>Annihilates electron </li></ul>
    106. 107. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Annihilation must obey conservation laws </li></ul><ul><li>Charge </li></ul><ul><ul><li>Net charge is zero before and after collision </li></ul></ul><ul><li>Linear momentum </li></ul><ul><ul><li>Must be conserved before and after collision </li></ul></ul><ul><li>Energy </li></ul><ul><ul><li>Must be conserved before and after collision </li></ul></ul>
    107. 108. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Only final system which allows these conditions is: </li></ul><ul><ul><li>2 gamma ray photons simultaneously produced </li></ul></ul><ul><ul><li>traveling at 180 o to each other. </li></ul></ul><ul><li>Energy of Photons? </li></ul>
    108. 109. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>E = mc 2 </li></ul><ul><li>E = 9.10938188 x 10 -31 x (3.00 x 10 8 ) 2 </li></ul><ul><li>E = 8.198 x 10 -14 J </li></ul><ul><li>E = 5.124 x 10 5 eV </li></ul><ul><li>E = 0.5124 MeV </li></ul>
    109. 110. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Photons from annihilation are detected, not positrons. </li></ul><ul><li>180° simultaneous production advantage </li></ul><ul><ul><li>Detect 1 with standard gamma camera </li></ul></ul><ul><ul><li>Detect both with modified gamma camera </li></ul></ul><ul><ul><li>Detect both with dedicated PET scanner </li></ul></ul>
    110. 111. PET CAMERAS Full ring multicrystal Part-ring multicrystal Full-ring NaI Gamma Cameras Coincidence Collimated 16cm 25cm 40cm Speed(count rate) Resolution Contrast
    111. 112. Different Detectors 38cm 38cm 16cm 16cm 38cm 25cm Single photon Slow insensitive Fast Insensitive Resolution Optimal Most versatile Optimised for FDG
    112. 113. Detector block Crystal Photo- multipliers
    113. 114. Detecting Gamma Photons
    114. 115. What do you see?
    115. 116. What do you see?
    116. 117. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>What is FDG? </li></ul><ul><li>Fluorodeoxyglucose </li></ul><ul><li>2-fluoro-2deoxy-D-glucose </li></ul>
    117. 118. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Radioactive 18 F is used so that the glucose produces gamma rays for detection. </li></ul><ul><li>18 F concentrates in high glucose using cells e.g. </li></ul><ul><ul><li>Heart </li></ul></ul><ul><ul><li>Brain </li></ul></ul><ul><ul><li>Kidney </li></ul></ul><ul><ul><li>Cancer cells </li></ul></ul><ul><ul><li>Inflammatory conditions </li></ul></ul><ul><li>Reflects very well the distribution of glucose uptake </li></ul>
    118. 119. Normal FDG Uptake High: - Brain - Urinary tract (bladder, kidneys) Medium: - Liver - Muscle - Bone marrow Low/no: - Lung - Bone Attenuation Corrected Scans *Cardiac uptake varies from high-none * Bowel activity varies from high-none
    119. 120. Normal FDG Uptake Muscle Muscle High: - Renal system Medium: - Muscles Attenuation Corrected Scans
    120. 121. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Influenced by Insulin, Blood Glucose etc </li></ul><ul><li>Phosphorylated but not metabolised further </li></ul><ul><li>Therefore is trapped </li></ul><ul><li>110 min half life allows remote transport </li></ul>
    121. 122. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Another radioisotope which is used is: </li></ul><ul><li>Oxygen 15 </li></ul><ul><li>15 O </li></ul><ul><li>Used to measure: </li></ul><ul><ul><li>Brain blood flow </li></ul></ul><ul><ul><li>Blood volume </li></ul></ul><ul><ul><li>Oxygen extraction </li></ul></ul>
    122. 123. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Uses 15 O labelled gaseous tracers </li></ul><ul><ul><li>CO 2 , CO, O 2 </li></ul></ul><ul><li>Administered by inhalation </li></ul><ul><li>Also used for organ blood flow </li></ul><ul><ul><li>Uses 15 O labelled water or butanol </li></ul></ul><ul><li>15 O produced by particle accelerators </li></ul><ul><ul><li>Cyclotron </li></ul></ul>
    123. 124. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Easiest is 14 N </li></ul><ul><ul><li>Lowest energy required </li></ul></ul><ul><li>Reaction? </li></ul><ul><li>Calculate binding energies </li></ul><ul><li>Type of reaction? </li></ul><ul><li>Energy required? </li></ul>
    124. 125. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>15 O Half-life </li></ul><ul><li>2 minutes </li></ul><ul><ul><li>Must be created on site </li></ul></ul><ul><li>To create H 2 15 O </li></ul><ul><li>Heat (700 o C) 15 O with H 2 </li></ul><ul><li>Vapour extracted into saline </li></ul>
    125. 126. Old Technique! Lawrence invented cyclotron in 1930! Lawrence 1938
    126. 127. PET Study 1952 Brownell & Aronow
    127. 128. PET at the RAH 1968 18 F bone scan
    128. 129. Modern PET Scanner
    129. 130. Modern PET Scanner
    130. 131. World PET Numbers (July 2000) Cameras Per Million Belgium 18 1.78 Germany 80 0.97 Switzerland 7 0.95 Denmark 4 0.75 Sweden 6 0.67 USA 144 0.52 Austria 4 0.52 Finland 2 0.38 Japan 37 0.29 Australia 5 0.26 (0.31) Canada 8 0.26 Netherlands 4 0.24 UK 14 0.23 Italy 12 0.21 Spain 8 0.21 France 8 0.13
    131. 132. CT Acquisition
    132. 133. PET Emission acquisition
    133. 134. Combined PET-CT
    134. 135. Co-incident Detection
    135. 136. Normal Brain
    136. 137. Alzheimer’s
    137. 138. Brain Tumours <ul><li>Viable tumour </li></ul>
    138. 139. Case Study 1: Lymphoma There is a focal region of increased activity in the mid to lower left lung laterally, consistent with intraparenchymal lung involvement at this site and there is a small region of activity at the pleural margin of the mid to lower left lung posterolaterally.
    139. 140. Case Study 3: Lymphoma
    140. 141. Case Study 5: Head and Neck Cancer Metastatic lymphadenopathy is seen in two mid right cervial nodes, one upper left cervical node, intensely in the subcarinal region, right mid and infrahilar region and retrocarinal region.
    141. 142. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>As radiopharmaceuticals have short half lives </li></ul><ul><ul><li>Cyclotron must be located close to PET hospitals </li></ul></ul><ul><ul><li>Time is important, not distance. </li></ul></ul>
    142. 143. Source of Tracer Cyclotrons PET scanners
    143. 144. 1 2 3 4 5 POSITRON EMISSION TOMOGRAPHY - PET 55 Minutes between patients, 5mCi dose
    144. 145. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Cyclotrons and PET at the Austin </li></ul><ul><li>PET is a perfect example of how a cross-over question could be structured </li></ul><ul><li>Besides PET </li></ul><ul><ul><li>From syllabus </li></ul></ul>
    145. 146. POSITRON EMISSION TOMOGRAPHY - PET <ul><li>Question could include: </li></ul><ul><ul><li>Production of radioisotopes </li></ul></ul><ul><ul><li>Calculation of binding energy </li></ul></ul><ul><ul><li>Calculation of photon energies </li></ul></ul><ul><ul><li>Decay equations </li></ul></ul>
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