Neutron Interactions and Dosimetry Outline Introduction Tissue
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Outline • Neutron dosimetry Neutron Interactions and – Thermal neutrons Dosimetry – Intermediate-energy neutrons – Fast neutrons Chapter 16 • Sources of neutrons • Mixed field dosimetry, paired dosimeters F.A. Attix, Introduction to Radiological • Rem meters Physics and Radiation Dosimetry Introduction Tissue composition • Consider neutron interactions with the majority tissue elements H, O, C, and N, and the resulting absorbed dose • Because of the short ranges of the secondary charged particles that are produced in such interactions, CPE is usually well approximated • Since no bremsstrahlung x-rays are generated, the • The ICRU composition for muscle has been assumed in absorbed dose can be assumed to be equal to the most cases for neutron-dose calculations, lumping the kerma at any point in neutron fields at least up to 1.1% of “other” minor elements together with oxygen to an energy E ~ 20 MeV make a simple four-element (H, O, C, N) composition Neutron kinetic energy Neutron kinetic energy • Neutron fields are divided into three • Thermal neutrons, by definition, have the most probable categories based on their kinetic energy: kinetic energy E=kT=0.025eV at T=20C – Thermal (E<0.5 eV) • Neutrons up to 0.5eV are considered “thermal” due to simplicity of experimental test after they emerge from – Intermediate-energy (0.5 eV<E<10 keV) moderator material – Fast (E>10 keV) • Cadmium ratio test: • Differ by their primary interactions in tissue – Gold foil can be activated through 197Au(n,)198Au interaction and resulting biological effects – Addition of 1mm thick Cd filter, which absorbs all neutrons below 0.5eV, tests for presence of those neutrons 1 Neutron kinetic energy Kerma calculations • For E<10 keV the dose is mainly due to - • For a mono-energetic neutron beam having rays resulting from thermal-neutron capture fluence (cm-2), the kerma that results from a in hydrogen, 1H(n,)2H neutron at a point in a medium is 8 1 • For E>10 keV the dose is dominated by the K 1.60210 Nt m Etr contribution of recoil protons resulting from where is the interaction cross section in elastic scattering of hydrogen nuclei 2 cm /(target atom), Nt is the number of target atoms – Resulting biological effect (and the in the irradiated sample, m is the sample mass in corresponding neutron quality factor) rises grams, and Etr is the total kinetic energy (MeV) steeply given to charged particles per interaction Kerma calculations Kerma calculations -8 -1 • The product of (1.602 10 Ntm Etr) is • Fn values are tabulated in Appendix F 2 equal to the kerma factor Fn in rad cm /n • Fn is not generally a smooth function of Z and E, • Thus the equation reduces to unlike the case of photon interaction coefficients • Interpolation vs. Z cannot be employed to obtain CPE values of Fn for elements for which data are not D K Fn listed, and interpolation vs. E is feasible only • CPE condition is usually well-approximated within energy regions where resonance peaks are for neutron interactions in tissue absent Typical neutron absorption Kerma calculations cross section Resonance peaks occur when the binding energy of a neutron plus the KE of the neutron are exactly equal to the amount required to raise a compound nucleus from its ground state to one of quantum levels Image from Kerma per unit fluence due to various interaction in a small mass of tissue http://nuclearpowertraining.tpub.com/h1019v1/css/h1019v1_113.htm 2 Thermal-neutron interactions Thermal-neutron interactions in tissue in tissue • Two important interactions of thermal • The nitrogen interaction releases a kinetic energy of neutrons with tissue: Etr = 0.62 MeV that is shared by the proton (0.58 MeV) and the recoiling nucleus (0.04 MeV) – neutron capture by nitrogen, 14N(n,p)14C • CPE exits since the range of protons in tissue ~10mm – neutron capture by hydrogen, 1H(n,)2H • Based on known values for and N /m, kerma factor • Thermal neutrons have a larger probability t F 2.741011 [rad cm 2 / n] of capture by hydrogen atoms in muscle, n because there are 41 times more H atoms • Dose deposited CPE than N atoms in tissue D 2.741011 [rad] Thermal-neutron interactions Thermal-neutron interactions in tissue in tissue • In the hydrogen interaction the energy given to - • In the center of a 1-cm diameter sphere of tissue the rays per unit mass and per unit fluence of thermal kerma contributions from the (n, p) and (n, ) neutrons can be obtained similarly, but replacing processes are comparable in size • In a large tissue mass (radius > 5 times the -ray Etr by E = 2.2 MeV (the -ray energy released in each neutron capture) MFP) where radiation equilibrium is approximated, the kerma due indirectly to the (n, ) process is 26 R m 7.131010 [rad cm 2 / n] • The energy available: times that of the nitrogen (n, p) interaction • These -rays must interact and transfer their • The human body is intermediate in size, but large energy to charged particles to produce kerma enough so the 1H(n, )2H process dominates in • Contribution to dose depends on proximity to RE kerma (and dose) production Interactions by intermediate Interactions by neutrons in tissue and fast neutrons in tissue • It is dominated below 10-4 MeV (100eV) by (n,p) reactions, mostly in nitrogen, represented by curve g • Above 10-4 MeV elastic scattering of hydrogen nuclei (curve b) contributes nearly all of the kerma x10-3 3 Interaction by intermediate Interaction by intermediate and fast neutrons in tissue and fast neutrons in tissue • The average energy transferred by elastic • Values for E for different tissue atoms: scattering to a nucleus is closely approximated tr (i.e., assuming isotropic scattering in the center- – E/2 for hydrogen recoils (changes from 0 when o of-mass system) by proton is recoiling at 90 to Etr for protons recoiling straight ahead) 2M M a n – 0.142E for C atoms Etr E 2 M a M n – 0.124E for N where E = neutron energy, – 0.083E for O Ma = mass of target nucleus, Mn = neutron mass Neutron sources Neutron sources • Neutrons can be released through processes such as fission, spallation, or neutron stripping • Most widely available neutron sources: • Fission: splitting atoms in a nuclear reactor – Nuclear fission reactors – n + 235U = n + n + fragments – one n may go back – Accelerators into chain reaction, the other is available – Radioactive sources • Spallation: bombarding heavy metal atoms with energetic protons – p + heavy nucleus = X * n + fragments • Stripping: bombarding light metal atoms with protons, a-particles, etc. Neutron sources Neutron sources • Fission-like spectra have average neutron energies ~2MeV • From beam ports of nuclear reactors • Watt spectrum is an idealized shape for unmoderated reactor neutrons • Several types of Be(a,n) radioactive sources are in common use, employing 210Po, 239Pu, 241Am, or 226Ra as the emitter • Neutron yields are on the order of 1 neutron per 104 a- Fission neutron spectra from reactors particles; average energies 4 MeV 4 Neutron sources Neutron Quality Factor deuteron bombardment of Be target • Cyclotrons are used to produce neutron beams by accelerating protons or deuterons into various targets, most commonly Be • For purposes of neutron radiation protection the dose equivalent H = DQ, • The neutron spectrum extends from 0 to energies Emax somewhat above the where Q is the quality factor, which depends on neutron energy deuteron energy, and have E ~0.4E avg max • The quality factor for all -rays is taken to be unity for purposes of • Tissue dose rates ~10rad/min at 1m in tissue, -ray background ~few % combining neutron and -ray dose equivalents Radiation Weighting Factor Mixed-Field Dosimetry n + • New approach uses radiation and tissue weighting factors • Neutrons and -rays are both indirectly ionizing (updated in ICRP 103 report, 2007); effective dose radiations that are attenuated exponentially in E=w H = w w *D T T T R T,R passing through matter • For neutrons weighting factor is a continuous function of energy; represented as a graph or in functional form • Each is capable of generating secondary fields of the other radiation: – (, n) reactions are only significant for high-energy - rays (10 MeV, there is a threshold defined by reaction) – (n, ) reactions can proceed at all neutron energies and are especially important in thermal-neutron capture, as discussed for 1H(n, )2H Mixed-Field Dosimetry n + Mixed-Field Dosimetry n + • Neutron fields are normally “contaminated” by • Three general categories of dosimeters for secondary -rays n + applications: • Since neutrons generally have more biological 1. Neutron dosimeters that are relatively effectiveness per unit of absorbed dose than - insensitive to rays rays, it is desirable to account for and n 2. -ray dosimeters that are relatively insensitive components separately to neutrons • It is especially important in the case of neutron 3. Dosimeters that are comparably sensitive to dosimeters to specify the reference material to both radiations which the dose reading is supposed to refer 5 Mixed-Field Dosimetry n + Mixed-Field Dosimetry n + • While water is a very close substitute of muscle • The response of a dosimeter to a mixed field of neutrons and -rays tissue in photon dosimetry, it is not as close a Q AD BD substitute for neutrons n, n • Water is 1/9 hydrogen by weight; muscle is 1/10 or alternatively as hydrogen Q B n, D D • Water contains no nitrogen, and hence can have no A A n 14N(n,p)14C reactions by thermal neutrons Here A = response per unit of absorbed dose in tissue for - rays, B = response