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W. Udo Schröder, 2007 Nuclear Decay 2 Decay Types There are many unstable nuclei - in nature Nuclear Science began with Henri Becquerel’s discovery (1896) of uranium radioactivity and man-made: Types of decay: “weak” decays
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W. Udo Schröder, 2007 Nuclear Decay 3 Domains of Nuclear Decay Modes N=126 Isotones Z=82 Isotopes A Neutron Dripline B n = 0 SHE Z=118 discovered (?) Proton Dripline B p = 0 E f = 0 Segré Chart stable nuclide A = 132 Isobars Stable nuclides
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W. Udo Schröder, 2007 Nuclear Decay 4 Example: ThB ( 212 Pb) Decay Scheme 212 Pb ground state decays spontaneously by e - emission ( - decay) 212 Bi ground state has branched ( and ) decays 208 Pb ground state is stable
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W. Udo Schröder, 2004 Principles Meas 5 Measuring “Decay Curves”: Fast-Slow Signal Processing Radiation Source Slow Fast PreAmp Amp Produce timing signal electron. Clock (TAC) Data Acquisition System Energy E-Tag Produce analog signal Binary data to computer Energy Discrim inator Time Trigger Start Stop External Time reference signal t 0 Detector Measured: Energy and time of arrival t=t-t 0 (relative to an external time-zero t 0 ) for radiation (e.g., -rays), energy discriminator to identify events (A) in a certain energy interval E by setting an identifier “tag.” Calibrate t axis channel # time units (s, y,..) Watch that t-channel . 0100200300400 0.01 0.1 1 i tt Activity A( t)/ A(t 0 ) t (Channel #)
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W. Udo Schröder, 2007 Nuclear Decay 6 Example: Determination of the 198 Au g.s. Lifetime E. Norman et al., http://ie.lbl.gov/radioactive decays/page2 411.8 keV Spectrum of delayed 198 Au -rays decay of 198 Hg exc. state is prompt: 11 measurements Each spectrum ran for 12 hours real time #11 taken 5 days after #1 # 1 # 11
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Kinetics of Nuclear Decay: Logarithmic Decay Law 0100200300400 1 10 2 0.1 1 i t 0100200300400 0 0.2 0.4 0.6 0.8 1 Disintegration of Radioactive Sample i t i Sample Activity A(t)/A(0) time t
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W. Udo Schröder, 2007 Nuclear Decay 8 Radio-Activity/Units
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W. Udo Schröder, 2007 Nuclear Decay 9 Average Radiation Exposure From Lilley, Nuclear Physics, Principles and Applications, J. Wiley & Sons, Ltd., 2001 ( 238 U, 232 Th, 40 K) ( 219 Rn, 220 Rn, 222 Rn) Tobacco absorbs Rn 210 Pb, 210 Po “hot spots” in lungs cancer risk Note unit: Sv
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W. Udo Schröder, 2007 Nuclear Decay 10 Biological Effects Ann. ICRP 26, 1994 Heavy charged particles: High ionization density, localized: maximum near end of range (Bragg peak) Electrons (+Bremsstrahlung): Long range, diffuse multiple scattering, low ionization density, delocalized absorption Neutrons: Indirect ionization, capture H(n, ) for E n <100 eV, keV-neutrons scatter elastically (np), 2-MeV neutrons have = 6 cm to thermalization and high ionization density. Photons: Like electrons, low ionization density, Compton scattering + photoelectric absorption, delocalized absorption Indirect chemical effects: Free radicals (neutral atom or molecule with an unpaired e - )
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W. Udo Schröder, 2007 Nuclear Decay 11 Biologically Relevant Dose Weighting Factors TypeEnergy Range Weighting w R e ± all1 neutrons< 10 keV5 10-100 keV10 100 keV – 2 MeV 20 2 - 20 MeV10 >20 MeV5 protons< 20 MeV5 , FF, clusters 20 TissueWeight w T Gonads0.20 Red bone marrow0.12 Colon0.12 Lungs0.12 Stomach0.12 Bladder0.05 Breast0.05 Liver0.05 Oesophagus0.05 Thyroid0.05 Skin0.01 Bon surface0.01 All remaining tissue0.05 Ann. ICRP 26, 1994
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W. Udo Schröder, 2007 Nuclear Decay 12 Effect on Complex Molecules Enzyme deoxyribonuclease (DNAse) Splits DNA Rad exposure decreases activity exponentially with dose High DNAse concentrations: expect more direct hits, direct damage of molecule Low DNAse concentration: expect fewer direct hits, less direct damage. Observation due to more free OH. and H. radicals from H 2 O dissociation. DNAse in Water Recovery: DNA molecules can repair themselves after moderate damage by X rays and minimum ionizing radiation. Approximately total recovery after small doses, no accumulation of effects More damage and less recovery after irradiation with neutrons X-rays, Assay at t 0 t 0 +5hrs Neutrons Assay at t 0 t 0 +5hrs DNA Survival Rate After Lilley, Nuclear Physics, Principles and Applications, J. Wiley & Sons, Ltd., 2001
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W. Udo Schröder, 2007 Nuclear Decay 13 Risk Factors TissueEffectProbability/Sv BreastCancer2.0 x 10 -3 Red bone marrowLeukemia5.0 x 10 -3 LungCancer8.5 x 10 -3 ThyroidCancer8.0 x 10 -4 Bone surfaceCancer5.0 x 10 -4 Other tissueCancer3.4 x 10 -2 Whole bodyCancer effects5.0 x 10 -2 After Lilley, Nuclear Physics, Principles and Applications, J. Wiley & Sons, Ltd., 2001
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W. Udo Schröder, 2007 Nuclear Decay 14 0100200300400 1 10 2 0.1 1 i t Activity A(t)/A(t 0 )
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W. Udo Schröder, 2007 Nuclear Decay 15
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W. Udo Schröder, 2007 Nuclear Decay 16 Intrinsic Nuclear Spin Nuclei can be deformed can rotate quantum mech. collective spin and magnetic effects (moving charges) Intrinsic spin? Nucleons have spin-1/2 Demonstrate via interaction with external odd-A : I= half-integer multiple of ħ even-A: I= integer multiple of ħ even-Z & even-N: I = 0 Quantum mechanical spin: “good” quantum numbers: I, m I Interactions via magnetic moment mIħmIħ z x y quantization axis Nuclear Magneton expt fact
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