A Dosimetric Intercomparison of Electron Beams in UK

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    Phys. Med. Biol. 42 (1997) 23932409. Printed in the UK PII: S0031-9155(97)83024-2

    A dosimetric intercomparison of electron beams in UK

    radiotherapy centres

    A Nisbet and D I Thwaites

    Department of Medical Physics and Medical Engineering, University of Edinburgh,

    Western General Hospital, Crewe Road, Edinburgh EH4 2XU, UK

    Received 4 April 1997, in final form 15 August 1997

    Abstract. A dosimetry intercomparison has been carried out for all 52 radiotherapy centres

    in the UK which possess electron treatment facilities. The intercomparison was carried out

    on one treatment unit in each centre and for three energies across the range of available

    energies. The position of the depth of maximum dose for a standard field size was independently

    determined and a subsequent beam calibration made. The factor to convert the reading on a

    calibrated ionization chamber to absorbed dose in an electron beam is energy dependent, andhence to carry out an independent calibration measurement also requires the beam energy to

    be determined. In addition a quantitative measure of the difference in the calibration chains

    between the intercomparison equipment and the host departments field instrument was carried

    out. In order to provide a follow-up to the initial IPSM national photon intercomparison, a

    photon beam calibration was measured in one photon beam in each centre. For 156 electron

    beam measurements, a mean ratio of intercomparison measured dose to locally measured dose of

    0.994 was obtained with a standard deviation of 1.8%. For the 52 photon beam measurements,

    a mean ratio of intercomparison measured dose to locally measured dose of 1.003 was obtained

    with a standard deviation of 1.0%.

    1. Introduction

    The demands on precision in radiotherapy dosimetry and treatment delivery are determinedby the steepness of the relevant clinical doseeffect curves, both for tumour control and

    for normal tissue complications. Consideration of the clinical data leads to generally

    agreed recommendations on the required accuracy in clinical dosimetry for radical curative

    radiotherapy being given in ICRU Report 24 (ICRU 1976), which pointed to a need for at

    least5% accuracy in the delivery of absorbed dose to the target volume in the patient. More

    recently, Brahme (1984) proposed a tolerance value on accuracy in dose delivery of 3% at

    the one standard deviation level, based on considering the consequences of dose variability

    on loss of tumour control probability. Similarly Mijnheer et al (1987) proposed 3.5%

    (one standard deviation) by considering limiting uncertainties for unacceptable increases in

    normal tissue complication risks. It is important to recognize that these figures are to be

    applied to the overall delivered dose, i.e. the dose received by the patient at the end point

    of all steps in the radiotherapy process. This includes patient data acquisition, treatment

    planning and the delivery of the prescribed, planned and accepted treatment to the patientunder day to day conditions over the course of the treatment. The accuracy requirements

    Present address: Department of Medical Physics, Sandringham Building, Leicester Royal Infirmary NHS Trust,

    Leicester LE1 5WW, UK.

    0031-9155/97/122393+17$19.50 c 1997 IOP Publishing Ltd 2393

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    2394 A Nisbet and D I Thwaites

    on each contributing stage must be correspondingly better in order to achieve these overall

    requirements.

    Such considerations make it necessary to establish comprehensive quality assurance

    systems at the local level in each centre (Bleehan 1991, AAPM 1994, Thwaites et al

    1995). In particular, the basis of consistent dosimetry is the use of carefully designed and

    applied national dosimetry protocols and codes of practice (e.g. HPA 1985, IPSM 1990,

    1992, IPEMB 1996a, b), ensuring traceability of dosimetry to national and internationalstandards. However, even with protocols in place errors may occur, for example due to

    inexact implementation or misinterpretation of recommendations, equipment problems or

    mistakes. Dosimetry intercomparisons are designed to establish the accuracy and precision

    of dosimetry at a given level in the dosimetry chain and to assess consistency between

    centres. They also act as an audit that can reveal the presence of errors. Coupled with

    procedural audit of the local centres quality assurance system and records, they provide a

    powerful overall audit of local clinical dosimetry. Dosimetry intercomparison techniques

    form the basis of the practical methodology employed in the developing radiotherapy

    dosimetry audit networks (Svensson et al 1994, Hanson et al 1994, Derreumaux et al

    1995, Thwaites 1996). Whilst audit systems can employ mailed TLD or site visits using

    ionization chambers, the latter approach provides the most accurate and flexible means to

    carry out a dosimetry intercomparison.

    Dosimetry intercomparison methods and results have been reviewed recently byThwaites and Williams (1994) and Thwaites (1994). Briefly they can be divided into

    three categories. As the first level in the dosimetry chain, primary standard laboratories

    regularly carry out intercomparisons of their provision of standard dosimetric quantities

    and agreement has consistently been within a few tenths of a per cent (Niatel et al 1975,

    Boutillon et al 1994). Secondly there have been a number of intercomparisons carried out to

    assess the consistency of treatment beam calibration between radiotherapy centres, making

    measurements under fixed conditions which either duplicate or approximate reference

    calibration conditions (Johansson et al 1982, 1986, Wittkamper et al 1987, Thwaites et al

    1992, Hoornaert et al 1993, Wittkamper and Mijnheer 1993, Hanson et al 1994). The

    third group essentially assess uncertainties at other levels of the clinical dosimetry chain,

    and range from additional measurements in non-reference conditions to more complex

    intercomparisons in anatomical phantoms (Worsnop 1968, Johansson 1987, Johansson et al

    1986, Wittkamper et al 1987, Thwaites et al 1992). Tables 1 and 2 summarize some resultsfor photon and electron intercomparisons at the beam calibration level. A number of general

    statements can be made as a result of reviewing intercomparisons (Thwaites et al 1992,

    Thwaites and Williams 1994): nearly all have shown some clinically significant variations;

    the standard deviations on the observed distributions increase on going from cobalt-60 to

    megavoltage x-rays to electrons, and on going from reference point measurements to more

    complex situations involving more factors; and standard deviations and the incidence of

    major discrepancies decrease in repeated intercomparisons.

    The UK-wide dosimetry intercomparison of megavoltage photons (Thwaites et al 1992)

    provided quantitative information on the consistency of clinical dosimetry for megavoltage

    photons. It improved the quality of clinical dosimetry by highlighting some problems, which

    in turn led to improvements in practice. The study was a one-off exercise with the aim

    of measuring the achieved dosimetric precision in radiotherapy across the UK, yet at the

    same time it provided a baseline set of data which can be used as a standard for subsequentcontinuing regional audits in the UK radiotherapy dosimetry audit network to work from

    and refer to. Indeed that intercomparison stimulated the establishment of, and provided

    the basic methods, for on-going regional audits (Thwaites 1992, 1996, Bonnett et al 1994,

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    Table 1. Ratios of measured to stated doses of recent photon dosimetry intercomparisons in

    reference conditions.

    Reference Region No Mean SD Range

    Johansson et al Scandinavia

    (1982) Co-60 22 1.001 0.014 0.05

    x-rays 50 1.017 0.023 0.10

    Johansson et al Europe(1986) Co-60 59 1.001 0.019 0.10

    x-rays 16 1.024 0.033 0.14

    Wittkamper et al Netherlands

    (1987) Co-60 11 0.994 0.006 0.02

    x-rays 40 1.008 0.02 0.10

    Hanson et al Mainly USA

    (1984) Co-60 and x-rays 740 1.008 0.019 0.14

    Thwaites et al UK

    (1992) C0-60 61 1.002 0.014 0.08

    x-rays 100 1.003 0.015 0.10

    Table 2. Ratios of measured to stated doses of recent electron dosimetry intercomparisons in

    reference conditions.

    Reference Region No Mean SD Range

    Johansson et al Scandinavia

    (1982) > 10 MeV 59 0.989 0.027 0.15

    < 10 MeV 68 0.996 0.034 0.18

    Johansson et al Europe

    (1986) 425 MeV 148 1.017 0.047 0.24

    Wittkamper et al Netherlands

    (1993) 620 MeV 54 1.002 0.025 0.11

    Thwaites and Allahverdi 1995). The megavoltage photon intercomparison also pointed to

    the need for a similar assessment of the consistency of electron beam dosimetry in the

    UK, partly because around 90% of UK radiotherapy centres now have electron treatmentfacilities, a significant number having obtained an electron capacity relatively recently,

    and partly because the potential for problems in electron dosimetry may be greater than

    for megavoltage photons. This has been observed in other intercomparisons which have

    included electron beams (Johansson et al 1982, 1986, Wittkamper and Mijnheer 1993),

    and some of the reasons for this are: the multiplicity of energies; the variation of energy

    with depth; steep dose gradients; the greater influence of variations in chamber design and

    phantom materials; and the possibility of larger chamber correction factors, i.e. polarity and

    recombination.

    This paper reports a systematic electron dosimetry intercomparison in all UK

    radiotherapy centres possessing electron facilities. Whilst this work is a scientific study

    of the currently achieved consistency in megavoltage electron beam dosimetry in the UK, it

    is intended that as with the photon intercomparison the methodology developed for clinical

    electron dosimetry audit may be subsequently adopted by regional audits and that the results

    will provide a baseline data set. A basic photon intercomparison was also carried out as a

    follow-up to the earlier IPSM study (Thwaites et al 1992) in order to assess its impact and

    any subsequent changes.

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    2. Methods

    An epoxy resin solid water substitute phantom material, WTe, produced commercially by

    the Radiation Physics Department at St Bartholomews Hospital, London was employed

    for all the measurements. WTe is a formulation developed for use in electron beams. The

    depth ionization curves measured in the material were shown to be in agreement with those

    measured in water within the limits of measurement uncertainty. Fluence ratios of waterto solid water were found to be linearly dependent on the mean electron beam energy at

    the depth of measurement, with corrections being no more than 0.5% (Nisbet and Thwaites

    1997b). The water equivalency of the material for megavoltage photon beam use has

    also been reported (Allahverdi et al 1997). The WTe solid water phantom consisted of

    250 mm 250 mm sheets with thickness varying between 1 mm and 50 mm. The sheets

    were measured with a micrometer and found to be within 0.1 mm of the nominal thickness.

    For all the measurements 100 mm of phantom material was positioned behind the ionization

    chamber to provide backscatter. Maximum sheet thicknesses of 20 mm were used to set the

    depth of the chamber in the phantom material and no problems with charge storage were

    observed with this arrangement.

    A Nuclear Enterprises 2570 dosemeter with an NACP type-02 design parallel plate

    ionization chamber (marketed by Scanditronix) were employed for the electron beam

    measurements. An operating voltage of 250 V was employed and ion recombinationwas evaluated both during calibration in a cobalt-60 gamma-ray beam and also in the

    subsequent determination of absorbed dose in an electron beam. This ensured that any

    changes in sensitivity at different voltages were automatically taken into account and is

    an acceptable alternative approach (IPEMB 1996a) to using an operating voltage of less

    than 100 V (Burns 1991, 1994). A 10 mm sheet of WTe was machined to hold the

    NACP chamber with the front surface of its entrance window flush with the sheet surface.

    The chamber was calibrated against a secondary standard dosemeter (Nuclear Enterprises

    model 2560/2561) in a cobalt-60 beam according to the HPA (1985) code of practice. The

    calibration of the NACP chamber was repeated quarterly throughout the course of the study.

    The standard deviation of the quarterly calibrations was 0.25%. In addition, to further

    ensure consistency, the chamber response was checked with a strontium-90 check source

    (available commercially from Gothic Crellon) before and after each visit to a radiotherapy

    centre. The standard deviation of the strontium-90 consistency checks was 0.2%, with amaximum deviation from the standard response of 0.4%. Ion recombination and polarity

    effects for the ionization chamber were determined across the range of measurement

    conditions encountered. Ion recombination corrections were then determined for each beam

    in a particular centre based on the value of the operating dose per pulse of the linear

    accelerator for that modality and quality. The operating dose per pulse was estimated

    from the gun pulse repetition frequency and the doserate as indicated on the accelerator

    console during beam-on operation of the accelerator. Where such parameters were not

    available on the console, the gun pulse repetition frequency and doserate as quoted by the

    host department were employed. Time considerations prevented the actual measurement

    of recombination in each centre. It should be noted that an error of20% in the pulse

    repetition frequency results in an error of no more than 0.1% in the ion recombination

    correction factor. This may be employed as a very conservative estimate of the uncertainty

    in the use of the recombination correction. The polarity corrections were determined from

    the mean electron beam energy at the depth of measurement. The values for the chamber

    and electrometer employed in the intercomparison have been reported in a technical note

    (Nisbet and Thwaites 1997a).

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    For the photon beam measurements the Nuclear Enterprises 2570 dosemeter was used

    with an NE2571 graphite-walled cylindrical ionization chamber. For the photon beam

    intercomparison the chamber was calibrated against the secondary standard dosemeter in

    a cobalt-60 gamma-ray beam and also in x-ray beams of nominal energy 4 MV, 6 MV,

    9 MV and 16 MV, with quality indices (TPR200100) of 0.63, 0.68, 0.72 and 0.765 respectively.

    Calibration was carried out according to the IPSM (1990) code of practice and is in terms

    of absorbed dose to water, traceable to UK (NPL) national dosimetry standards. Similarconsistency checks as described above were also employed for this chamber. The standard

    deviation of the quarterly calibrations was 0.1%. The standard deviation of the strontium-

    90 consistency checks was 0.2%, with a maximum deviation from the standard response

    of 0.4%.

    A dedicated barometer and thermometer were used throughout the study to make

    pressure and temperature corrections to the ionization chamber readings. An aneroid

    barometer (Negretti and Zambra type M2236) was used, whilst the thermometer was

    supplied by Nuclear Enterprises. The temperature and pressure were compared with those

    measured locally to help quantify any differences in dosimetry.

    The HPA (1985) code of practice with the IPSM (1992) addendum were used to

    determine absorbed dose to water for the electron beams, and the IPSM (1990) code of

    practice was employed to determine absorbed dose to water for the photon beams. The

    electron beam intercomparison was carried out on one unit in each radiotherapy centre visitedand for three energies across the range of available energies. For each nominal energy the

    depth of maximum dose for a standard field size, the beam calibration and the electron beam

    energy were independently determined. The Ce conversion factor necessary to convert the

    ionization chamber reading into a measure of absorbed dose to water (as defined and used

    in the HPA (1985) electron dosimetry code of practice) is energy dependent. Therefore to

    carry out an independent measurement of the beam calibration of an electron beam means

    that a beam energy determination is also required. Depth ionization curves were used to

    estimate the electron beam energy. They were measured with a 200 mm 200 mm field

    size and a constant focus to surface distance (FSD) of around 1 m (dependent on the make

    of accelerator). Strictly speaking, a constant focus to chamber distance should be employed.

    However, given that the phantom dimensions were only 250 mm250 mm, there may have

    been insufficient sidescatter if a large stand-off was used to provide sufficient space beneath

    the applicator end to add the required thickness of phantom material and this problem wouldhave increased for higher-energy beams. The depth ionization curve measured was therefore

    converted to fixed focus to chamber distance by applying an inverse square law correction,

    i.e. by multiplying each reading by (f+d)2/d2, where f is the distance of the front surface

    of the phantom from the source, and d is the depth of the effective point of measurement

    of the chamber beneath the surface. Strictly speaking f should be the distance from the

    chamber to the virtual electron beam source; however, it was not practicable to determine

    the virtual electron beam source during the intercomparison and so the nominal focus to

    surface distance was used. The difference in the energy determined by using this in the

    inverse square law correction is insignificant. The energy relationships given in HPA (1985)

    were used to determine the mean incident electron beam energy and the mean electron beam

    energy at the depths of measurement.

    The depth of maximum dose for the standard field size was determined by taking

    readings at a number of depths 1 mm apart, around the quoted depth of maximum dose(three readings were taken at each depth). The chamber reading multiplied by the appropriate

    air kerma to dose conversion factor for the mean electron beam energy at that depth gives

    the absorbed dose to water, and hence the depth of maximum dose could be determined.

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    The dose per monitor unit at the depth of maximum dose for the standard field size was

    determined from the readings taken. The temperature in the phantom cavity was used to

    apply a temperature correction. The ion recombination correction was calculated from the

    dose per pulse, and fluence and polarity corrections were calculated from the mean electron

    beam energy at the measurement depth.

    It should be noted that the host department was asked to measure the beam calibrations

    of the appropriate electron and photon beams immediately prior to the intercomparison.The determination of the depth of maximum dose and hence the beam calibration was the

    first set of electron beam measurements to be carried out. This ensured that there was

    no difference in dosimetry between the intercomparison and the locally measured beam

    calibration due to drift in output caused by prolonged use of the accelerator. Data obtained

    from the questionnaire (see below) enabled estimates of the Ce values around the quoted

    depth of maximum dose to be calculated, and these values were initially employed in the

    above determination of the depth of maximum dose. Subsequent use of the derived Cevalues from the intercomparison measure of beam energy ensured an independent check of

    the beam calibration and depth of maximum dose.

    Finally the ionization chamber used by the host department for electron beam dosimetry

    was cross-calibrated against the intercomparison NE2571 graphite-walled cylindrical

    ionization chamber in the photon beam normally used for the calibration of the host

    departments electron chamber. This provided two outcomes. Firstly it gave a quantitativemeasure of any differences in the calibration chains between the intercomparison and the

    host department. In addition it enabled a measurement of the photon beam calibration to

    be carried out. The quality index as quoted by the host department was used to determine

    the calibration factor to convert the corrected instrument reading (corrected for temperature,

    pressure and ion recombination) to absorbed dose to water. It should be noted that in

    the host departments measurements of beam calibration their own previously determined

    chamber calibration factor was employed. The result from the cross-calibration with the

    intercomparison NE2571 was only used to quantify the deviation in chamber calibration

    factor to the total discrepancy in dose between locally measured beam calibration and

    intercomparison measured beam calibration. The local centre was only given the result of

    this chamber cross-calibration with the subsequent report.

    A degree of procedural audit was incorporated at each visit. To achieve this aim a

    questionnaire was designed which dealt with the quality control procedures in operationand the techniques used to determine dosimetric and related parameters. This questionnaire

    was sent out before the visit and was then used as a basis for discussion with local staff.

    The results from this part of the audit are not analysed here, but it should be noted that

    recommendations on appropriate quality control procedures and frequency of checks are

    given in IPSM Report54 (IPSM 1988). The questionnaire also helped in identifying reasons

    for any differences observed in dosimetry between the intercomparison and that measured

    locally. A full analysis of the reasons for any differences in dosimetry were given with

    the subsequent report. The report quantified differences in dosimetry due to the different

    calibration chains employed; the use of different thermometers and barometers; differences

    in dosimetry due to differences in energy determined; differences in dosimetry due to the

    difference in the depth of maximum dose determined; and differences due to recombination

    and polarity corrections. In addition any deviation from the correct use of the HPA (1985)

    code of practice and IPSM (1992) addendum were highlighted.The intercomparison visits started in May 1995 and were completed in May 1996. The

    intercomparison was carried out at 52 radiotherapy centres in the UK, of which 50 were

    NHS Trust hospitals and two were private. The results were communicated back to the

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    individual centres as soon as possible following a visit. Any discrepancies outwith a pre-set

    tolerance value of5% (3% for photon beam calibrations) were followed up to confirm

    that the causes of the difference in dosimetry as outlined in the reports were addressed. The

    confidentiality of the results of each centre was maintained

    3. Results

    3.1. Electron beam calibration

    Figure 1 shows the distribution of nominal electron beam energies included in the study.

    The nominal electron beam energies range in value from 3 MeV up to 22 MeV.

    Figure 1. Distribution of nominal electron beam energies in the intercomparison.

    The results, expressed as the ratio of the intercomparison measured dose to the locallymeasured dose, are presented in figure 2. The mean value of this ratio is 0.994 (standard

    deviation 1.8%) with minimum and maximum values of 0.949 and 1.046, i.e. a spread in

    dose of 9.7% across the 52 centres. It should be noted that a value close to unity for the

    mean ratio suggests that there are no significant systematic errors in the intercomparison

    dosimetry. A difference in dosimetry greater than 5% was observed for only one of the

    results. This was due to the local centre employing a cylindrical ionization chamber in

    the low-energy region for which the use of cylindrical chambers is not recommended.

    Subsequent follow-up measurements confirmed agreement to within 1%.

    The results have been subdivided into three energy regions: (i) a mean electron

    beam energy at the depth of measurement, Ed < 5 MeV, the energy region for which

    cylindrical ionization chambers are not recommended; (ii) 5 MeV Ed < 10 MeV; and

    (iii) Ed 10 MeV. A summary of the results in the three energy regions is given in table 3.

    There are no significant differences in the precision of dosimetry between these three energy

    regions.

    The results have also been subdivided according to the type of ionization chamber

    employed locally for electron beam dosimetry. The results are shown in table 4. It can

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    Figure 2. Results for the electron beam calibration measurements showing the distribution of

    the ratio of intercomparison measured dose to locally measured dose.

    Table 3. Variation of beam calibration with electron beam energy.

    Energy

    Ed < 5 MeV 5 MeV Ed < 10 MeV 10 MeV Ed

    No of Beams 65 60 31

    Mean 0.996 0.995 0.995

    SD (%) 1.8 1.6 2.0

    Max. negative deviation 0.949 0.959 0.951

    Max. positive deviation 1.044 1.046 1.026

    Spread (%) 9.5 8.7 7.5

    Table 4. Variation of beam calibration with ionization chamber used locally.

    Ionization chamber

    NACP Markus NE2571 Others

    No of Beams 93 36 21 6

    Mean 0.991 1.006 0.995 0.984

    SD (%) 1.6 1.7 2.0 1.6

    Max. negative deviation 0.951 0.969 0.949 0.965

    Max. positive deviation 1.046 1.044 1.024 1.004

    Spread (%) 9.5 7.5 7.5 3.9

    be seen that there are differences in the mean ratio of intercomparison measured dose

    to locally measured dose for each chamber type. It should be noted that the calibration

    procedure for parallel plate ionization chambers described in the IPEMB code of practice for

    electron dosimetry for radiotherapy (IPEMB 1996a) is expected to improve the consistency

    in dosimetry between different types of ionization chamber.

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    Table 5. Variation of beam calibration with ionization chamber used locally and with electron

    beam energy.

    (i) NACP chamber Energy

    Ed < 5 MeV 5 MeV Ed < 10 MeV 10 MeV Ed

    No of beams 41 37 15

    Mean 0.992 0.993 0.985SD (%) 1.5 1.5 2.0

    Max. negative deviation 0.957 0.966 0.951

    Max. positive deviation 1.030 1.046 1.026

    Spread (%) 6.3 8.0 7.5

    (ii) Markus chamber Energy

    Ed < 5 MeV 5 MeV Ed < 10 MeV 10 MeV Ed

    No of beams 13 12 11

    Mean 1.012 1.002 1.003

    SD (%) 1.7 1.7 1.5

    Max. negative deviation 0.990 0.965 0.979

    Max. positive deviation 1.044 1.033 1.025

    Spread (%) 5.4 6.8 4.6

    The results according to the type of ionization chamber have been further subdivided into

    the three energy regions. The results are presented in table 5. It can be seen that the differ-

    ences in the use of different ionization chambers are reflected across the entire energy range.

    3.2. Electron beam energy

    The results, expressed as the difference in energy between that determined during the

    intercomparison and that quoted locally, are presented in figure 3. With 56 beams the

    agreement was within 0.1 MeV; with 94 the agreement was within 0.2 MeV; 116 were

    within 0.3 MeV; and 142 were within 0.5 MeV. The maximum positive difference

    in nominal electron beam energy was 1.04 MeV and the maximum negative differencewas 0.72 MeV. In the latter case a depthdose curve had been used by the local centre

    to determine the mean incident electron beam energy. The constant linking the mean

    incident energy and the depth of 50% ionization is taken to be 2.4 in the HPA (1985) code

    of practice; however, the constant 2.33 MeV cm1 is a more representative value of the

    available data for a derivation of the mean incident electron beam energy from depthdose

    data (ICRU 1984, Brahme and Svensson 1976). If this constant had been employed by the

    local centre then the difference in energy determination would be 0.33 MeV. The difference

    of 0.72 MeV occurred for a nominal 14 MeV electron beam, and the subsequent difference

    in dose is estimated to be 0.4%. For the former case the difference in energy determination

    of 1.04 MeV occurred for a nominal electron beam energy of 20 MeV, and the subsequent

    difference in dose is estimated to be 0.4%. This difference occurred due to the fact that the

    depth ionization curves used locally to determine the mean incident electron beam energy

    (measured with a constant source to surface distance) did not apply an inverse square law

    correction to convert to depth ionization curves effectively measured with a constant source

    to detector distance. It should be noted that the mean ratio of intercomparison measured

    energy to locally quoted energy was 1.000.

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    Figure 3. Results for the mean incident electron beam energy determination showing the

    deviation between intercomparison measured energy and locally quoted energy.

    3.3. Depth of maximum dose

    The results, expressed as the difference between that determined during the intercomparison

    and that quoted locally, are presented in figure 4. With 97 electron beams the determined

    depth of maximum dose was within 1 mm; in 140 beams the difference was within

    2 mm; and 150 were within 3 mm. The maximum positive difference was 10.3 mm and

    the maximum negative difference 9.5 mm. The latter case occurred for a nominal 20 MeV

    electron beam, where the depthdose has a broad peak, and the subsequent difference in

    dose is estimated to be 0.6%. The former case occurred for a nominal 9 MeV electron

    energy and the subsequent difference in dose is estimated to be 7.8%; fortuitously, other

    areas of disagreement were observed which acted in an opposite direction and the total

    difference in dose was under 5%. The mean difference was 0.3 mm, this highlights the

    fact that a large percentage of centres take the effective measuring position of a parallel

    plate chamber to be on the front face of the chamber rather than at the inside of the front

    face.

    3.4. Air kerma calibration factor

    Fifty five ionization chambers (27 NACP design parallel plate ionization chambers, 20

    NE2571 graphite-walled cylindrical ionization chambers and 8 Markus chambers) were

    cross-calibrated against the intercomparison Farmer chamber. The intercomparison was

    carried out in the WTe phantom material. The mean ratios of intercomparison determined

    calibration factor to locally quoted calibration factor was 1.006 (standard deviation 1.2%) for

    the NACP chambers, 0.999 (standard deviation 1.3%) for the NE2571 ionization chambers

    and 1.008 (standard deviation 1.2%) for the Markus ionization chambers. Comparative

    calibration measurements carried out in Perspex and WTe confirm that the calibration factor

    determined in WTe is 1.006 greater than that determined in Perspex for the NACP and

    Markus chambers. This is in agreement, within measurement uncertainty, with reported

    values of pwall (the perturbation factor to correct chamber reading for deviations from

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    Figure 4. Results for the depth of maximum dose determination showing the deviation between

    intercomparison measured depth and locally quoted depth.

    Figure 5. Results for the air kerma calibration showing the deviation between intercomparison

    determined calibration factor and locally quoted calibration factor for the NACP chamber.

    perfect BraggGray behaviour due to the non-medium equivalence of the chamber wall) for

    these chambers in these phantom materials (Laitano et al 1993). The spread in the ratio

    of the intercomparison determined calibration factor to locally quoted calibration factor are

    presented in figures 5, 6 and 7 for the NACP chamber, the NE2571 chamber and the Markus

    chamber respectively.

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    Figure 6. Results for the air kerma calibration showing the deviation between intercomparison

    determined calibration factor and locally quoted calibration factor for the NE2571 chamber.

    Figure 7. Results for the air kerma calibration showing the deviation between intercomparison

    determined calibration factor and locally quoted calibration factor for the Markus chamber.

    3.5. Photon beam calibration

    Figure 8 shows the distribution of nominal photon beam qualities included in the study.

    These are the photon beam energies which different departments are employing to calibrate

    their parallel plate ionization chambers.

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    UK radiotherapy dosimetry intercomparison 2405

    Figure 8. Distribution of nominal photon beam qualities in the intercomparison.

    Figure 9. Results for the photon beam calibration measurements showing the distribution of the

    ratio of intercomparison measured dose to locally measured dose.

    The results, expressed as the ratio of the intercomparison measured dose to the locally

    measured dose, are presented in figure 9. The mean value of this ratio is 1.003 (standard

    deviation 1.0%) with minimum and maximum values of 1.026 and 0.983, i.e. a spread in

    dose of 4.3% across the 52 centres.

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    2406 A Nisbet and D I Thwaites

    Table 6. Comparison of results from 1992 photon intercomparison with 1997 photon

    intercomparison.

    Number in Mean

    study ratio SD (%)

    Co-60 (1992) 61 1.002 1.4

    (1997) 16 0.998 1.1

    MV x-rays (1992) 100 1.003 1.5

    (1997) 36 1.005 0.9

    Number within 3% (1992) 97%

    (1997) 100%

    The results from this study are compared with those obtained in the initial photon

    intercomparison of 1992 in table 6. It can be seen that in this repeated intercomparison

    both the standard deviations on the observed distributions and also the incidence of major

    deviations have decreased.

    4. Discussion

    4.1. Uncertainties

    All uncertainties are quoted as one standard deviation. The type A uncertainties (random

    uncertainties) have been estimated as follows. The uncertainty in dosemeter response has

    been estimated from the strontium check source measurements to be 0.2%. In order to

    ensure an accurate temperature measurement the phantom material was generally placed

    in the treatment room approximately two to three hours before the measurements began;

    however, this is still probably an insufficient time for the phantom to reach equilibrium

    and so the temperature in the chamber insert was continuously monitored throughout the

    course of the measurements. It may be argued, however, that this may not have been anaccurate value for the temperature in the air of the ionization chamber, and so a relatively

    high uncertainty in the temperature correction of0.1% (equivalent to 0.3 C) has been

    estimated. The uncertainty in the barometer reading is estimated at 0.01% (equivalent

    to 0.1 mbar). The uncertainty in monitor unit fluctuations has been estimated from the

    variation in chamber readings over repeated sets of measurements; an uncertainty of0.3%

    has been taken for cobalt-60 units, and 0.5% for the megavoltage x-ray and electron

    measurements. As regards uncertainties in the focus to surface distance an uncertainty of

    0.2% (equivalent to 1 mm in 1 m) has been assumed for accelerators and 0.25%

    (equivalent to 1 mm in 80 cm) for cobalt units. The uncertainty in the method of estimating

    the recombination correction factor is taken as 0.1%

    This leads to an overall type A uncertainty of 0.6% for the megavoltage x-ray and

    electron measurements and an overall type A uncertainty of 0.5% for the cobalt units.

    Type B uncertainties (systematic uncertainties) may arise from the calibration of the

    ionization chambers and the accuracy of the thermometer and barometer. In addition the

    use of the WTe phantom material may increase the uncertainties. It is estimated, from the

    results in sections 3.1 and 3.5, that these factors contribute approximately 0.6% to the

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    UK radiotherapy dosimetry intercomparison 2407

    uncertainty with electron beams and 0.3% uncertainty to the photon beams. The total

    uncertainties are therefore estimated at 0.8% for electron beams, 0.7% for megavoltage

    x-rays and 0.6% for cobalt-60 gamma-ray beams.

    4.2. Sources of differences in dosimetry

    The intercomparison has been designed to identify the reasons for the differences in doses

    determined by the intercomparison and those measured locally, and a number of common

    causes have been identified. Firstly the use of ion recombination corrections (IPEMB 1996a)

    is not considered in a large number of centres. This effect depends upon both the dose per

    pulse and type of ionization chamber employed, and can be a significant effect. Likewise

    polarity effects are not considered in a large number of centres. Secondly the use of epoxy

    resin solid water phantom materials is becoming increasingly common, and depth ionization

    curves and Ce values identical to water are generally assumed. It has been reported that an

    assumption of unity for the fluence ratios of epoxy resin solid water phantoms may introduce

    a systematic error of the order of 1% in electron beam dosimetry (Thwaites 1985, Nisbet

    and Thwaites 1997b). Specific factors for these materials are included in the recent IPEMB

    (1996a) code of practice. Thirdly, significant differences in chamber calibration factors

    were observed (see section 3.4). One possible area of disagreement arises from the use of

    megavoltage x-ray beams to calibrate parallel plate ionization chambers. The photon beamsincluded in the current photon intercomparison were generally those which the local centres

    employed for the calibration of these chambers (see figure 5). The HPA (1985) code of

    practice and its IPSM (1992) Addendum recommends that the calibration be carried out in

    a cobalt-60 gamma-ray beam and minimal provision is given for calibration in other beams,

    due to lack of data on the wall perturbation correction factors for parallel plate chambers

    in these situations. The magnitude of this effect may be of the order of 1% to 2% (Nisbet

    and Thwaites 1995) and there is evidence that the correction can vary between chambers

    of the same nominal design due to small differences in construction (IPEMB 1996a). The

    recent IPEMB (1996a) electron code of practice recommends that parallel plate chambers

    are calibrated in higher-energy electron beams because of these problems.

    5. Conclusions

    A total of 156 electron beams were included in the intercomparison. The mean ratio of

    intercomparison measured dose to locally measured dose was 0.994 with a standard deviation

    of 1.8%. The maximum positive deviation was 4.6% and the maximum negative deviation

    was 5.1%. One electron beam lay outside the intercomparison tolerance level of 5%. The

    reason for this discrepancy has been determined and subsequent follow-up of the dosimetry

    has confirmed agreement to within 1%.

    In addition 52 photon beams were included in the intercomparison and no beams were

    outside the intercomparison tolerance level of 3%. The mean ratio of intercomparison

    measured dose to locally measured dose was 1.003 with a standard deviation of 1.0%. The

    maximum positive deviation was 2.6% and the maximum negative deviation 1.7%.

    In conclusion the study has demonstrated generally consistent radiotherapy dosimetry

    for electron beam dosimetry at the level of beam calibration. The methodology described

    can identify problems at the selected tolerance limits, allowing them to be investigated and

    rectified. This has been demonstrated in the study. It has also been shown that the standard

    deviations and the incidence of discrepancies have decreased for megavoltage photon beams

    since the earlier national exercise. This is in part due to the use of the intercomparisons

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    2408 A Nisbet and D I Thwaites

    themselves and in part due to the recent implementation of quality systems and regular

    quality audit via the dosimetry audit network. This study has given confidence in the

    basis of clinical delivery of radiation dose in radiotherapy treatment and in the consistency

    (precision) of dosimetry between different centres.

    Acknowledgments

    The study was funded by a grant from the UK Department of Health (NHS

    Management Executive Audit Group). The members of the IPSM Radiotherapy Dosimetry

    Intercomparison Working Party, responsible for the submission of the grant application, are

    gratefully acknowledged (D I Thwaites (Chairman), E G Aird, T Jordan, S C Klevenhagen

    and A McKenzie).

    The cooperation of the physicists in the radiotherapy departments which participated in

    this dosimetry intercomparison is also gratefully acknowledged.

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