Neutron Dosimetry II

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    Neutron Interactions and

    Dosimetry II

    Paired Dosimeters

    Calibration of the Low-Neutron-Sensitivity Dosimeter

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    Separate Measurement of Neutron and -Ray

    Dose Components by Paired Dosimeters

    If a mixed n + field is measured by means of twodosimeters having different values ofB/A, Eq. (2)can then be applied to each one and solvedsimultaneously to obtainD andDn, so long asBandA have known values

    The best dosimeter pair is a TE-plastic ionchamber containing TE gas (for whichB/A 1) tomeasure the total n + dose, and anonhydrogenous dosimeter having as little neutronsensitivity as possible to measure the dose

    Ideally this dosimeter should measure only-rays

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    Dosimeters with Comparable Neutron

    and -Ray Sensitivities (B/A 1) A-150 TE plastic ion chambers (B/A 1)

    Rossi TE proportional counter (B/A 1)

    Tissue-equivalent plastic calorimeters (B/A 1)

    Aqueous chemical dosimeters (B

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    Gamma-Ray Dosimeters with Relatively

    Low Neutron Sensitivity (B

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    Non-hydrogenous Ion Chambers

    Graphite-walled ion chambers through which CO2gas is flowed at 1 atm have the advantage of being

    low in atomic number, thus avoiding overresponsefor low-energy rays due to the photoelectric

    effect

    However, the discrimination against neutrons is

    only moderate, withB/A 0.30 at 15 MeV for a0.3 cm3 cylindrical chamber, decreasing gradually

    as the neutron energy is increased

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    Non-hydrogenous Ion Chambers

    Somewhat better neutron discrimination canbe achieved with a magnesium chamber

    containing argon, because of the decrease inthe energy transferred to the heavier nuclei

    by neutron elastic scattering

    For a 2.4-cm3 spherical Mg-Ar chamber theB/A value for 14.8-MeV neutrons is about

    0.17

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    Thermoluminescent Dosimeters

    7LiF (TLD-700) and CaF2:Mn TLDs both haveB/A values comparable to that of the Mg-Ar ion

    chamber Thus either of these TLDs can be employed as the

    neutron-insensitive member of the paired-

    dosimeter method

    7LiF, at least, has been shown to have aB/A valuethat is nearly proportional to the energy of the fast

    neutrons below 15 MeV

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    Thermoluminescent Dosimeters

    A LiF (TLD-100) or 6LiF (TLD-600) TLD can beemployed as an indirect fast-neutron dosimeter bycoupling it with a large moderating mass, forexample, by wearing it in a personnel badge on thebody

    The incident fast neutrons become thermalized bymultiple elastic collisions in the body and some ofthem diffuse back out to the dosimeter

    This is called an albedo dosimeterbecause itsreading depends on the ability of the body toreflect the thermalized neutrons

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    Thermoluminescent Dosimeters

    Since 6LiF and LiF (containing natural lithiumwith 7% 6Li content) both are sensitive to rays

    also, it is usually necessary to provide a secondTLD in the dosimeter package that is insensitive to

    thermal neutrons

    Both dosimeters in the pair require -ray

    calibration, as their -ray sensitivities are seldomidentical

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    Thermoluminescent Dosimeters

    An alternative to using 7LiF as a separate -ray dosimeter in the albedo package is

    offered by the fact that LiF and 6LiF showan extra TLD glow peak at about 250300C, produced by the thermal-neutron dose

    deposited by the secondary -particle andthe triton

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    X-Ray Film

    Nuclear-track emulsions are thick enough to allowfast neutrons to scatter protons elastically, and toallow them to spend their energy internally inproducing chemically developable tracks

    An x-ray film has an emulsion thickness of 25mg/cm2, which is comparable to the range of a 1-MeV proton

    If the film is sandwiched between Pb foils to keepout protons from the films surroundings,B/A canbe reduced to even lower levels than thoseexhibited by 7LiF

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    Miniature G-M Counters

    A miniature stainless-steel G-M counterwith a high-Z filter to flatten the energy

    dependence of the -ray response has beenfound to have the lowestB/A ratio of any

    known -ray dosimeter: approximately 0.02

    for 15-MeV neutrons, decreasing graduallywith decreasing neutron energy

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    Calibration of a Tissue-Equivalent

    Ion Chamber for n + Dosimetry The -ray calibration factorA is first obtained

    from a 60Co -ray beam for which the free-spaceexposure rate is known

    The absorbed dose at the center of an equilibriumsphere of tissue, 0.52 g/cm2 in radius, for a free-space exposureX(C/kg) at the same location, isgiven (in grays) by

    tissTCPE

    eneq

    airair

    ( ) (3)c

    WD K A X

    e

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    Calibration of a Tissue-Equivalent

    Ion Chamber for n + Dosimetrywhere 1.003,

    Aeq = attenuation of photons in

    penetrating to the center of the tissue sphere 0.988,

    = 33.97 J/C, and

    = the ratio of mass energy absorptioncoefficients for tissue/air, 0.0293/0.0266 =1.102

    tiss

    en air/

    air

    /W e

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    Calibration of a Tissue-Equivalent

    Ion Chamber for n + Dosimetry Eq. (3) thus reduces to

    If (Q)TE is the charge (C) produced in theTE ion chamber when it is given the same -

    irradiation that depositsD (Gy) in the

    tissue sphere, then

    37.1 GyD X

    TE

    TE (C/Gy)Q

    AD

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    Calibration of a Tissue-Equivalent

    Ion Chamber for n + Dosimetry The absorbed doseD in muscle tissue can

    be related to the dose (D )TE in the TE

    plastic chamber wall under TCPEconditions by

    TETCPE

    enTE TE TE TE

    TE

    tissTE TE

    Q Q D Q

    A D DD D

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    Calibration of a Tissue-Equivalent

    Ion Chamber for n + Dosimetry The B-G relation, assumed to be valid here,

    allows one to write

    Substituting gives

    TE

    TE

    TE / /g g

    Q V

    D W e S

    TE

    enTE TE

    tiss / /g g

    VA

    W e S

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    Calibration of a Tissue-Equivalent

    Ion Chamber for n + Dosimetry The neutron calibration factorBTE for the

    TE ion chamber can next be expressed in a

    form similar to that ofATE:

    CPETETE TE TE TE

    TE tiss

    TE TE

    n n n n

    n

    n n n n

    Q Q D QB F

    D D D D

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    Calibration of a Tissue-Equivalent

    Ion Chamber for n + Dosimetry Applying the B-G relation to the neutron

    case:

    Now substituting gives

    TE

    TE

    TE / /

    n

    nn n gg

    Q V

    D W e S

    TE

    TE TEtiss

    / /n

    n n gg

    VB F

    W e S

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    Calibration of a Tissue-Equivalent

    Ion Chamber for n + Dosimetry (B/A)TE for the TE chamber is the ratio

    The compositions of the TE gas and TE-plastic wall are sufficiently similar that the

    stopping power ratios are both close to

    unity, as is their ratio

    TEtiss

    TE

    en TEtissTE TE

    / /

    / /

    g g

    n

    n g n g

    W e SBFA W e S

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    Calibration of a Tissue-Equivalent

    Ion Chamber for n + Dosimetry The ratio is also nearly unity, since

    differences in the carbon and oxygen content inthe gas and wall have no effect

    These elements have practically identical en/values over the wide range of-ray energies wherethe Compton effect dominates

    Therefore, for the TE-gas-filled TE-plasticchamber:

    tiss

    en TE/

    TE

    tissTE

    /

    /

    g

    n

    n g

    W eBF

    A W e

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    Calibration of a Tissue-Equivalent

    Ion Chamber for n + Dosimetry The value of the ratio is obtained

    from tables such as those in Appendix F,

    entered at the appropriate neutron energyfor A-150 plastic and ICRU muscle

    The reciprocal of the W -ratio has been

    computed as a function of neutron energyby Goodman and Coyne for methane-based

    TE gas

    TE

    tissnF

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    Calibration of the Low-Neutron-

    Sensitivity Dosimeter In principle one could use

    to calculateB/A for a graphite-CO2 or Mg-Ar ionchamber to be employed in the paired-dosimetermethod

    The resultingB/A value so obtained is seldomaccurate enough to be useful, especially where the-ray content is fairly low

    TEtiss

    TE en

    TEtiss

    TE TE

    / /

    / /

    g g

    n

    n g n g

    W e SBF

    A W e S

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    Calibration of the Low-Neutron-

    Sensitivity Dosimeter The most practical approach to determiningB/A is

    an experimental one employing a narrow neutron

    beam of the desired spectrum The method makes use of a Pb filter to remove the-ray contamination from the beam, while passing

    most of the neutrons, which have a smaller

    attenuation coefficient

    Secondary radiation produced in the filter escapesfrom the narrow beam

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    Calibration of the Low-Neutron-

    Sensitivity Dosimeter A previously calibrated TE chamber is used to

    calibrate the beam in terms of neutron tissue doseDn

    The low-neutron-sensitivity dosimeter (x) forwhich the value of (B/A)x is to be determined isgiven an identical irradiation, yielding the readingQx

    Bx is simply equal to Qx/Dn, assumingD to bezero

    Ax for that dosimeter is obtained from a60Co -ray

    exposure

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    Calibration of the Low-Neutron-

    Sensitivity Dosimeter In practice one does not know the degree to

    which the beam is initially contaminated

    with radiation, how much Pb filtration isneeded to purify the beam adequately, orhow much of the -ray contamination mayhave come from elsewhere than the beam

    portGamma rays from the face of the shield would,

    for example, not be removed by a beam filter

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    Calibration of the Low-Neutron-

    Sensitivity Dosimeter A solution to this problem was devised which uses

    the narrow-beam Pb-filtration method for

    determining (B/A)x The neutron beam was generated by 35-MeV

    deuterons on Be; its average energy was 15 MeV

    It was collimated by a 2-cm hole through a large

    Benelex (pressed wood) shield, as shown in the

    following diagram

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    Calibration of the Low-Neutron-

    Sensitivity Dosimeter The dosimeters were a TE-plastic-TE-gas

    chamber and an air-filled graphite chamber

    The three beam filtrations chosen were openbeam, 7.6-cm Pb, and a steel plug 66 cm

    long filling the entire bore hole

    The six measurements and responseequations are listed in the following table

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    Calibration of the Low-Neutron-

    Sensitivity Dosimeter was the absorbed dose at the measurement

    point in the open beam due to rays coming out of

    the beam port was the dose contributed by rays from

    elsewheremostly H-capture rays emitted fromthe face of the Benelex shield

    Dn is the open-beam neutron dose, is that withthe Pb filter, and that with the plug in place

    aD

    sD

    nDn

    D

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    Calibration of the Low-Neutron-

    Sensitivity Dosimeter This experimental approach to determining (B/A)x

    for a low-neutron-sensitivity dosimeter provides a

    value that is consistent with the (B/A)TE of thetissue-equivalent chamber with which it is

    compared, and is relevant to the neutron spectrum

    of the beam used

    The method works as well with TLDs, G-Mcounters or other nonhydrogenous dosimeters as it

    does with ion chambers

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    Calibration of the Low-Neutron-

    Sensitivity Dosimeter Narrow-beam geometry is required for this

    calibration procedure

    The beam must be narrow enough, and themeasurement location distant enough from the

    filters, so that significant amounts of secondary

    radiation from the filters cannot reach the

    dosimeters The method therefore requires a collimatable

    beam of neutrons