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NE 301 - Introduction to Nuclear Science Spring 2012. Classroom Session 9: Radiation Interaction with Matter Absorbed Dose (D), Kerma (K) Gray ( Gy ) = 100 rad Dose Calculations Analysis of Gamma Information (NAA) Chemical Effects of Nuclear Reactions. Reminder.
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NE 301 - Introduction to Nuclear ScienceSpring 2012 Classroom Session 9: Radiation Interaction with Matter Absorbed Dose (D), Kerma (K) Gray (Gy) = 100 rad Dose Calculations Analysis of Gamma Information (NAA) Chemical Effects of Nuclear Reactions
Reminder • Load TurningPoint • Reset slides • Load List • Homework #3 due February 16 • Next Tuesday February 14 – 1st Demo Session • MCA • Gamma Spectroscopy identification of isotopes • NAA of samples
Absorbed Dose, D (Gray, rad) Energy absorbed per kilogram of matter (J/kg) Gray: 1 Gy = 1 J/kg The traditional unit: Rad: 100 rad = 1 Gy rad = Radiation Absorbed Man Dose rate = dose/time
Kerma (Approx. dose for neutrons) Kerma Kinetic Energy of Radiation absorbed per unit MAss For uncharged radiation Kerma is easier to calculate than dose for neutrons Kerma and Dose: same for low energy Kermaover-estimates dose at high energy No account for “Bremsstrahlung” radiation loses.
Calculating Dose Rate and Kerma Rate en(E)/ =mass interaction coefficient (table C3) E = particle energy [MeV] = flux [particles/cm2 s] Notice Difference tr(E)/ =mass interaction coefficient (table C3) E = particle energy [MeV] = flux [particles/cm2 s] Engineering Equations – PLEASE Watch out for units!
Calculating Dose Rate and Kerma Rate en(E)/ =mass interaction coefficient (table C3) E = particle energy [MeV] = flux [particles/cm2 s] Notice Difference tr(E)/ =mass interaction coefficient (table C3) E = particle energy [MeV] = flux [particles/cm2 s] Engineering Equations – PLEASE Watch out for units!
Dose Calculation Practice Assume a 57 mCi point source of137Cs. 137Cs emits a 0.60 MeV gamma with a frequency of 0.941 per decay. At a distance of 2 meters from the source, calculate: “Absorbed Dose” rate in tissue
Dose Calculation Practice – find first Sp = 57 mCi E = 0.6 MeV gamma @ 94.1% of the time r=200 cm , total linear attenuation coefficient (or macroscopic cross section) in air for 0.6 MeV (table C3)
Total linear attenuation coefficient (or macroscopic cross section) in air for 0.6 MeV (table C3) • 8.940e-2 cm2/g • 9.69e-5 cm-1 • 3.289e-4 cm-1 • 3.284e-2 cm2/g • 8.040e-2 cm2/g
Dose Calculation Practice Sp = 57 mCi E = 0.662 MeV gamma @ 94.1% of the time r=2 m Linear attenuation coefficient (or macroscopic cross section) in air for 0.6 MeV (table C3)
What is the (en/for dose) in tissue for 0.6 MeV (table C3) • 8.939e-2 cm2/g • 8.940e-2 cm2/g • 3.289e-2 cm2/g • 3.284e-2 cm2/g
Flux incident in TISSUE (H2O) Table C.3: en(E)/ =3.284e-2 cm2/g in H2O 2. Quality factor for gamma is 1, so Dose Equivalent rate is: Time to reach 5 rem (annual limit for radiation workers)?
Not much? But isn’t 57 mCi a lot?Well, let’s see distance… • Redo dose at 2 cm? i.e. working with the source?
2 cm Dose Calculation Practice Sp = 57 mCi E = 0.6 MeV gamma @ 94.1% of the time r=2 cm Linear attenuation coefficient (or macroscopic cross section) in air for 0.6 MeV (table C3)
2 cm flux incident in TISSUE (H2O) Table C.3: en(E)/ =3.284e-2 cm2/g in H2O LD50=300 rem, so Lethal Dose in few hours! Distance matters!
Cancer Risk From Radiation Exposure According to the Biological Effects of Ionizing Radiation committee V (BEIR V) • The risk of cancer death is 0.08% per rem(0.0008/rem) for doses received rapidly (acute) • Might be 2-4 times less than that (0.04% per rem) for doses over a long period (chronic) • These risk estimates are an average for all ages, males and females, and all forms of cancer. There is a great deal of uncertainty associated with the estimate. • BEIR VII risk estimates for fatal cancer are similar to the values from BEIR V, but they also estimated incidence rates, which were about 50% of the fatal cancer rate. • Risk from radiation exposure has been estimated by other scientific groups. The other estimates are not the exact same as the BEIR V estimates, due to differing methods of risk and assumptions used in the calculations, but all are close.
Cancer Risk Estimates • Using the linear no-threshold risk model, the 1990 BEIR* V report provided the following estimate: • The average lifetime risk of death from cancer following an acute dose equivalent to all body organs of 0.1 Sv (10 rem) is estimated to be 0.8%. This increase in lifetime risk is about 4% of the current baseline risk of death due to cancer in the United States. The current baseline risk of cancer induction in the United States is approximately 25%. • Another way of stating this risk: • A dose of 10 mrem creates a risk of death from cancer of approximately 1 in 1,000,000. • * The National Academy of Sciences Committee on the Biological Effects of Ionizing Radiation (the BEIR Committee)
Terrestrial and Internal Radiation Terrestrial Radiation Radioactive isotopes naturally found in: water, soil, vegetation Uranium Thorium Radon Internal Radiation Radioactive isotopes naturally in our bodies from birth. Potassium- 40 Carbon- 14 Lead- 210