IEC 61331.1:2014 broad beam conditions
To minimise the introduction of errors during setup and following the requirements of the IEC (2014)[1] standards, a CBTK for lead equivalence testing was designed and engineered by co-author, Robert Parin (RP) so that each setup would remain stable, consistent and reproducible. A diagram detailing the linear dimensions of various components of the CBTK within the broad beam setup is provided in Fig. 1, with the corresponding schematic shown in Fig. 2.
The use of the CBTK ensures that when the x-ray tube focal spot is positioned 1.55 m from the floor, all other distances relative to the focal spot will be consistently maintained, as per Fig. 1. The broad beam geometry, as defined by IEC (2014)[1] has two essential conditions that need to be fulfilled. The first condition (Eq. 1) is the distance between the x-ray tube focal spot and the bottom of the sample, denoted ‘a’, must be at least equal to three times the diameter of the beam shaping lead diaphragm ‘d’ closest to the detector IEC (2014)[1].
The setup in Fig. 1 shows that distance ‘a’ is approximately 15 times greater than ‘d’. The second condition (Eq. 2) requires the diameter of the lower diaphragm ‘d’ to be greater than or equal to 10 times the distance between the sample and the sensitive area of the radiation detector ‘b’ IEC (2014)[1], based on the geometry in Fig. 1, ‘d’ is exactly equal to 10b.
Thus, with the CBTK utilized in the configuration outlined in Fig. 1, the two essential IEC (2014)[1] conditions will always be met.
Custom-built testing kit (CBTK)
Model consideration
ARPANSA published a lead equivalence testing setup in 2015[4]. This setup however, does not conform to either the broad beam or narrow beam geometry as defined by IEC (2014)[1], mainly due to the location of the sample relative to the beam shaping lead diaphragm. Furthermore, where the IEC (2014)[1] specifies the use of two beam shaping lead diaphragms (Figure 1), ARPANSA (2015) [4] and the AS/NZS[2], only specify the use of one.
In this study, we adopted the use of broad beam geometry to reflect and reproduce the scenario in which a radiation protective garment is exposed to clinically. A broad beam is the most analogous model to fit the broadly scattered radiation arising from a patient. The CBTK (Figure 2) was designed and fabricated by co-author RP to incorporate the dimensions of the two beam shaping lead diaphragms according to the IEC (2014)[1] broad beam setup (Figure 1). The 1.55 m x-ray tube focal spot to floor distance, the 0.2 m between the beam shaping lead diaphragm and the sample were retained from ARPANSA[4].
The schematic of the CBTK (Figure 2) shows the two beam shaping lead diaphragms (A and B), both comprising of 4.5 mm of lead supported between two thin sheets of Perspex.
In the Figure 1 setup, the x-ray tube must be positioned 1.55 m from the floor with the diaphragms aligned centrally to the crosshairs of the x-ray tube light field. As per the dimensions, the two beam shaping lead diaphragms within the CBTK collimate the x-ray field to a 10 x 10 cm square at the entrance surface of the sample. The lower lead diaphragm (B) serves a threefold purpose as an attenuator, collimator and platform. In theory, its position below diaphragm (A) is designed to absorb scattered radiation originating in the air gap between the two diaphragms as well as scatter from the sample. With scattered radiation sufficiently attenuated by the lead, the beam is finally collimated to fulfil the broad beam conditions. Practically, the lower diaphragm also serves as a platform on which the samples can be placed. Plastic legs support the CBTK on the floor and steadily suspend the lead diaphragms at their fixed positions whilst allowing ample room for full-sized radiation protective garments to be unfolded and manoeuvred on top of the diaphragm B platform. An in-built cradle is used to consistently position the radiation detector at the correct location and orientation for each test, i.e. elevating the radiation detector from the ground and maintaining the precise distance to the sample to satisfy broad beam conditions[1].
Filtration and beam quality
Part 1 of the AS/NZS[2] provides a table outlining the amount of added filtration (mmCu) that should be used for each corresponding tube voltage, for example, at 100 kVp, the recommended amount of added filtration is 0.25 mmCu. Conversely, the current IEC (2014)[1] standard states that a total filtration of 2.5 mmAl should be used for all tube voltages. In this study, dose measurements were taken with a solid-state radiation detector to determine the lead equivalent thickness of a set of ‘pure-lead’ samples and a set of N-Pb samples. Each set of samples (‘pure-lead’ or N-Pb) were tested twice at 102 kVp, first using 0.25 mmCu added filtration and again with 2.5 mmAl total filtration. The decision to test the samples at 100 kVp was based on the stated tube voltage guaranteed on the label of the N-Pb sample material. The nearest increment to 100 kVp that the radiographic x-ray unit was able to achieve was 102 kVp.
Calibration
All lead equivalence measurements in this report were made using a Philips Optimus 80 (SN:10000170) fixed radiographic x-ray unit located in the Department of Radiology at Sir Charles Gairdner Hospital (SCGH), Western Australia. This unit was compliant for clinical use as required by the Radiological Council of Western Australia[8] at the time the measurements were taken. Attenuation measurements were made using a calibrated RTI Piranha 657 Internal Probe solid-state detector (SN:CB214120963).
A two-fold calibration and verification process were performed. High purity 99.95% pure lead sheets of 0.1 mm thickness and 15 x 15 cm2 in size (Goodfellow Cambridge Ltd, England, UK), were used for the calibration. Three measurements were made without attenuation to obtain the unattenuated intensity, I0 (Eq. 3). This was followed by attenuation measurements using the above-mentioned high purity lead sheets. Starting the attenuation with 0.1 mm Pb, and increasing the thickness in increments of 0.1 mm, to a maximum thickness of 0.6 mm Pb. Three measurements were taken at each increment. This enables the beam quality of the x-ray beam spectrum to be determined (Equations 3 and 4), where I is the attenuated intensity, µ is the linear attenuation coefficient, x is the thickness of attenuator (0.1, 0.2, 0.3, 0.4, 0.5, 0.6 mm Pb), and HVL the half-value layer.
\(I={I}_{0}{e}^{-\mu x}\) (Eq. 3)
\(HVL=\frac{\text{l}\text{n}\left(2\right)}{\mu }\) (Eq. 4)
Air kerma measurements taken through samples are thus converted into a ‘measured thickness’ via Eq. 3, and then corrected by applying them through the equation for the second order polynomial regression line in the calibration curve. By utilizing a calibration curve obtained from pure lead sheets, the corrected value represents the lead equivalent thickness of the sample materials expressed in mm Pb.
Verification using ‘pure-lead’ samples
A second set of lead sheets (Goodfellow Cambridge Ltd, England, UK), composed of 97% Pb, 1.5% Sn (Tin) and 1.5% Sb (Antimony) were used to verify the measured lead equivalence with the true thickness of the samples within a reasonable margin of error. Each verification sample was 0.05 mm thick and 15 x 15 cm2 in dimensions. When appropriately stacked together, these sheets can be assembled to reproduce the typical clinical thicknesses found in radiation protection garments (i.e. 0.25, 0.35 and 0.50 mm Pb).
Lead-free (N-Pb) samples
Following the verification tests on the ‘pure lead’ samples, the measured lead equivalence of the N-Pb samples were then evaluated. The N-Pb samples used were from clinically available ‘aprons’ from a single radiation protective garment manufacturer. As with the ‘pure lead’ samples, three sample thicknesses of the N-Pb materials were obtained (0.25 mm, 0.35 mm and 0.50 mm) for comparison. The 0.50mm sample was comprised of a double layer of the 0.25mm material. Preliminary fluoroscopic screening tests on all samples prior to the lead equivalence measurements confirmed that the internal protective material was uniform and intact. The N-Pb samples were stated by the manufacturer to be composed of a bilayer containing Antimony (Sb) and Tungsten (W). It is assumed that any rubber or polymers bonded to the material to provide the garment its flexibility are not contaminated with any other heavy metals that would affect its attenuation characteristics. The bilayer arrangement of the non-lead samples used in this study have a lower atomic number (Sb, Z=51) as the first layer and a higher atomic number as the second layer (W, Z=74). The first layer being the initial layer that the incident x-rays encounter in the bilayer configuration. In theory, k-edge fluorescent x-rays created within this first layer are absorbed in the second layer. The directionality of the samples when placed on the CBTK is thus crucial when bilayer materials are tested, i.e. to ensure the correct side is facing the incident x-ray beam. The manufacturer stated energy rating of the N-Pb samples was labelled 100 kVp and thus all tests in this paper were conducted at the closest available tube voltage of 102 kVp.