Shielded X-ray radiation apparatus

11456147 · 2022-09-27

Assignee

Inventors

Cpc classification

International classification

Abstract

A shielded X-ray radiation apparatus is provided comprising an X-ray source, an X-ray attenuation shield including an elongate cavity to house the X-ray source and incorporating a region to accommodate a sample, a neutron attenuation shield, and a gamma attenuation shield. The neutron attenuation shield is situated adjacent to and substantially surrounds the X-ray attenuation shield and the gamma attenuation shield is adjacent to and substantially surrounds the neutron attenuation shield. In some embodiments a removable sample insertion means is provided to insert samples into the elongate cavity and which is composed of adjacent blocks of material, each respective block having a thickness and a composition which substantially matches the thickness and a composition of one of the X-ray attenuation, neutron attenuation and gamma-ray attenuation shields.

Claims

1. A shielded X-ray radiation apparatus for analysis of materials via gamma activation analysis, the apparatus comprising: an X-ray conversion target, wherein, when an electron accelerator directs an electron beam having an electron beam direction at the X-ray conversion target, the X-ray conversion target generates X-rays; an X-ray attenuation shield including an elongate cavity to house the X-ray conversion target and incorporating a region to accommodate a sample; a neutron attenuation shield; a gamma attenuation shield; and a support casing housed within the X-ray attenuation shield and configured to support the X-ray conversion target and the sample, wherein the neutron attenuation shield is adjacent to and substantially surrounds the X-ray attenuation shield; and wherein the gamma attenuation shield is adjacent to and substantially surrounds the neutron attenuation shield.

2. The shielded X-ray radiation apparatus according to claim 1, wherein the X-ray conversion target is configured to generate the X-rays when the electron beam has an energy between 7 MeV and 15 MeV.

3. The shielded X-ray radiation apparatus according to claim 1, wherein the thickness of the X-ray attenuation shield at an angle of 90° from the electron beam direction measured relative to the location of the conversion target is within the range of 60-80% of the thickness in the forward direction, and the thickness at an angle of 180° from the electron beam direction measured relative to the location of the conversion target is within the range of 25-50% of the thickness in the forward direction.

4. The shielded X-ray radiation apparatus according to claim 3, wherein the thickness of the X-ray attenuation shield at an angle of 90° from the electron beam direction measured relative to the location of the conversion target is approximately 75% of the thickness in the forward direction, and the thickness at an angle of 180° from the electron beam direction measured relative to the location of the conversion target is approximately 50% of the thickness in the forward direction.

5. The shielded X-ray radiation apparatus according to claim 1, wherein a first thickness (tXR) of the X-ray attenuation shield thickness in the forward direction is estimated by the equation: tXR=TVL×log10[(R×60×106)/(r d2)], where d is the distance from the X-ray conversion target, R is the X-ray dose rate at 1 m from the X-ray conversion target produced by the X-ray conversion target, r is the shielded X-ray dose rate at the closest personnel-accessible point, and TVL is a predefined tenth value layer thickness for the X-ray attenuation shield material.

6. The shielded X-ray radiation apparatus according to claim 1, wherein the neutron attenuation shield has a thickness (tnt) in the forward direction which is estimated by the equation: tnt=TVLn log10 (f) where TVLn is a predefined tenth-value layer thickness for the attenuation of low energy neutrons in the neutron attenuation shield and f is a ratio of an unshielded neutron dose rate to a desired shielded neutron dose rate.

7. The shielded X-ray radiation apparatus according to claim 1, wherein the thickness of the neutron attenuation shield at an angle of 180° from the electron beam direction measured relative to the location of the conversion target in a rearward direction is 50% to 100% of the thickness (tnt) in the forward direction.

8. The shielded X-ray radiation apparatus according to claim 1, wherein the gamma attenuation shield has a thickness which is proportional to the thickness of the neutron attenuation shield.

9. The shielded X-ray radiation apparatus according to claim 1, wherein the X-ray attenuation shield is constructed from lead, tungsten, or layers of lead and tungsten.

10. The shielded X-ray radiation apparatus according to claim 1, wherein the neutron attenuation shield is constructed from a polymer material having a hydrogen density of approximately 0.1 g/cm3.

11. The shielded X-ray radiation apparatus according to claim 10, wherein the polymer material comprises boron or lithium.

12. The shielded X-ray radiation apparatus according to claim 1, wherein the gamma attenuation shield is constructed from lead, steel, or a composite of lead and steel.

13. The shielded X-ray radiation apparatus according to claim 1, wherein: the X-ray attenuation shield has a thickness in the electron beam direction calculated using a tabulated tenth value layer thickness for X-rays, the X-ray dose-rate output of the X-ray conversion target, and a desired X-ray dose rate outside of the shield, wherein the thickness of the X-ray attenuation shield decreases with increasing angle from the electron beam direction measured relative to the location of the conversion target; and the neutron attenuation shield has a thickness in the electron beam direction calculated using a tabulated tenth value layer thickness for neutrons, the neutron dose-rate output of the X-ray conversion target, and a desired neutron dose rate outside of the shield, wherein the thickness of the neutron attenuation shield decreases with increasing distance from the X-ray conversion target.

14. The shielded X-ray radiation apparatus according to claim 1, further comprising the electron accelerator, wherein the electron accelerator is housed within the X-ray attenuation shield, the neutron attenuation shield, and the gamma attenuation shield.

15. The shielded X-ray radiation apparatus according to claim 14, wherein each of the X-ray attenuation shield, the neutron attenuation shield, and the gamma attenuation shield comprises: a relatively wide head portion housing the X-ray conversion target and the sample; and a relatively narrow tail portion housing at least part of the electron accelerator.

16. The shielded X-ray radiation apparatus according to claim 1, further comprising the electron accelerator, wherein at least a forward portion of the electron accelerator is housed within the support casing, the X-ray attenuation shield, the neutron attenuation shield, and the gamma attenuation shield.

17. The shielded X-ray radiation apparatus according to claim 1, wherein the support casing supports the sample and the X-ray conversion target in correct relative positions.

18. A shielded X-ray radiation apparatus for analysis of materials via gamma activation analysis, the apparatus comprising: an X-ray conversion target, wherein, when an electron accelerator directs an electron beam having an electron beam direction at the X-ray conversion target, the X-ray conversion target generates X-rays; an X-ray attenuation shield including an elongate cavity to house the X-ray conversion target and incorporating a region to accommodate a sample; a neutron attenuation shield; a gamma attenuation shield; and a removable plug configured to insert the sample into the elongate cavity; wherein the removable plug comprises adjacent blocks of material, each block having a thickness and a composition which substantially matches thickness and composition of a corresponding one of the X-ray attenuation, neutron attenuation, and gamma-ray attenuation shields; wherein the neutron attenuation shield is adjacent to and substantially surrounds the X-ray attenuation shield; and wherein the gamma attenuation shield is adjacent to and substantially surrounds the neutron attenuation shield.

19. The shielded X-ray radiation apparatus according to claim 18, wherein the removable plug further comprises a stage member on which the sample to be irradiated is locatable; and wherein the adjacent blocks of materials comprise a first block adjacent the stage member, a second block abutting the first block, and a third block abutting the second block; wherein: the first block comprises a material to substantially attenuate X-rays and having a thickness which is the same or substantially the same as the X-ray attenuation shield, the second block comprises a material to substantially attenuate neutrons and having a thickness which is the same or substantially the same as the neutron attenuation shield, and the third block comprises a material to substantially attenuate gamma-rays with a thickness which is the same or substantially the same as the gamma attenuation shield; and wherein the shielded X-ray radiation apparatus comprises a sleeve through which the stage member is able to traverse.

20. The shielded X-ray radiation apparatus according to claim 19, wherein the sleeve of the apparatus and the removable plug have a clearance tolerance of less than 2.00 mm.

21. The shielded X-ray radiation apparatus according to claim 19, wherein the stage member of the removable plug is constructed from a substance that is free from elements that undergo significant activation from X-rays or neutrons.

22. The shielded X-ray radiation apparatus according to claim 19, wherein an outer profile of the removable plug is stepped, with at least one of the adjacent blocks increasing in width, in a direction perpendicular to a direction of travel of the removable plug with increasing distance from the stage member.

23. The shielded X-ray radiation apparatus according to claim 22, wherein the width of the or each step is in the range of 5 to 15 mm.

24. The shielded X-ray radiation apparatus according to claim 22, wherein the first block comprises at least two steps, such that the width of the first blocks increase in a stepwise fashion from the innermost to outermost steps.

Description

BRIEF DESCRIPTION OF DRAWINGS

(1) Embodiments will now be described with reference to the accompanying drawings in which:

(2) FIG. 1 is a schematic illustration of one embodiment of the shielding configuration;

(3) FIG. 2 is a perspective view of an embodiment of the removable sample insertion means for carrying out aspects of the invention described herein; and

(4) FIG. 3 shows a graph illustrating the ratio of neutron dose rate to unshielded forward X-ray dose rate versus end-point energy for an electron accelerator fitted with a tungsten Bremsstrahlung converter target.

DESCRIPTION OF EMBODIMENTS

(5) FIG. 1 illustrates an example of a shielded X-ray radiation apparatus 100 which is configured to operate with an end-point energy that can be varied over the range 8-14 MeV. The maximum X-ray dose rate delivered by the X-ray generator (not shown) varies from 160 Sv/min at an operating energy of 8 MeV to 25 Sv/min at an operating energy of 14 MeV.

(6) The shielded X-ray radiation apparatus 100 includes an X-ray attenuation shield 110 and 111, a neutron attenuation shield 120 and 121 and a gamma attenuation shield 130 and 131. The X-ray attenuation shield includes a cavity 106 which is approximately 1.5 m in length that houses the LINAC (not shown). The LINAC accelerates a beam of electrons 101 onto a conversion target 102, producing Bremsstrahlung X-ray radiation which is substantially directed in the direction of the electron beam. In use, the X-ray radiation irradiates a sample 103.

(7) The cavity 106 housing the forward portion of the LINAC, the conversion target 102 and the sample 103 is substantially surrounded by a support casing 104 that provides means of supporting the LINAC, target and sample in the correction relative positions. Lead, being a soft and malleable material, is poorly suited for this purpose. In this example, the support casing 104 is made from a material such as steel. In other examples the selected material should be substantially free from elements that readily activate via X-ray or neutron-induced nuclear reactions. For example, the casing should be free of the element cobalt, which leads to the formation of the long-lived .sup.60Co isotope via the capture of neutrons. The formation of such long-lived isotopes may lead to difficulties in the eventual decommissioning or disposal of the shielding components.

(8) The X-ray attenuation shield (a primary shield) comprises a head portion 110 and a body portion 111. The thickness of the X-ray attenuation shield is a function of the angle from the electron beam direction: directions of 0, 30, 60, 90, 120, 150 and 180 degrees are indicated on FIG. 1. The thickness is calculated in accordance with the description provided later on in the specification. The X-ray attenuation shield 110, 111 may be formed by casting molten lead into a mould or steel shell.

(9) The X-ray attenuation shield 110, 111 is surrounded by a neutron attenuation shield (a secondary shield) 120, 121 formed of polyethylene containing 5% by weight of boron. The thickness of the neutron attenuation shield is in accordance with the description provided later on in the specification. In this example, the neutron attenuation shield 110, 111 is formed from flat sheets of material.

(10) The neutron attenuation shield 110, 111 is surrounded by a gamma attenuation shield 130, 131 (a tertiary shield) formed from lead sheets. The gamma attenuation shield has a thickness proportional to the thickness of the underlying neutron attenuation shield. In the example shown, the ratio of thicknesses of the gamma attenuation shield to the neutron attenuation shield is 1:10.

(11) The overall dimensions of the layered shield (110 and 111, 120 and 121, 130 and 131) are approximately 3300 mm in length and 1650 mm in width, and the total shielding mass is approximately 22 tonnes. Consequently, the shielding design can be comfortably accommodated within the size and mass constraints of a standard 20′ shipping container.

(12) The sample 103 to be irradiated is inserted and removed through the layered shielding by way of a movable sample insertion means, otherwise referred to as a plug 140. The plug 140 passes through a sleeve 141 fitted into the primary, secondary and tertiary shielding layers. The clearance between the sleeve 141 and plug 140 shall be as small as practicably possible, allowing for motion of the plug. The tolerance is preferably less than 0.5 mm.

(13) The design of the plug 140 is shown in more detail in FIG. 2. The sample 103 is supported on stage member 150 which is formed from steel or a similar material. In accordance with the design of the casing 104, the material from which the stage member is manufactured should also be free from elements that undergo significant activation from X-rays or neutrons.

(14) The second section of the plug 160 comprises at least two stepped portions 161, 162, with the dimensions of the outermost step 162 larger than the innermost 161. In the example shown, the step has a width of 10 mm. The second section of the plug 160 is formed from a material providing efficient attenuation of X-rays, such as lead or tungsten. Preferably, this section of the plug 160 shall be formed from a material substantially similar to that used for the X-ray attenuation shield 110,111.

(15) The third section of the plug 170 is constructed of a material that efficiently stops neutrons. Preferably the third section of the plug is manufactured from a material substantially similar to that used to form the neutron attenuation shield 120,121. A joining member 171 for joining the second and third sections of the plug is provided. The joining member 171 is a steel bracket bolted to the second and third sections of the plug.

(16) The fourth section of the plug 180 is constructed of a material that provides efficient attenuation of X-rays, such as lead or tungsten. In this example the fourth section of the plug includes two steps, though in other examples it could include more than two steps, or only a single step.

(17) The last section of the plug 190 is provided to enable the entire plug to be attached to a mechanism which provides linear motion (not shown) to transport the plug into and out of the cavity. This section 190, which is not required to provide any shielding function, may be solid or hollow structure with means to attach to a linear motion device.

(18) The X-Ray Attenuation Shield

(19) Tables of the X-ray shielding efficacy of different materials are readily available (for example, NCRP Report 151 “Structural Shielding Design and Evaluation for Megavoltage X- and Gamma-ray Radiotherapy facilities”). Shielding efficiency is commonly quoted as ‘tenth value layers’ (TVLs), being the thickness of material required to reduce the X-ray dose rate by a factor of 10. TVLs are a function of material composition, material density and X-ray source energy.

(20) For example, reported TVL values for a 10 MeV X-ray source are 57/57 mm for lead, 410/370 mm for concrete and 110/110 mm for steel. In each case the first reported value is the TVL for the first layer of shielding, and the second reported value is the TVL for all subsequent layers of shielding. Consider a shielding design for a particular X-ray source designed to reduce dose rates by a particular factor. Let the shield be constructed from lead and have a total mass M. If the shielding material is changed to steel, then each linear dimension of the shield will need to be increased by a factor of 110/57=1.93 to achieve the same dose rate reduction factor. The mass of the new shield, M′, will be given by:
M′=M×1.93.sup.k×density of steel/density of lead where k is an exponent with a value between 1 and 3.

(21) If the cavity 106 housing the X-ray generator is large compared to the layered shielding thickness (as is common in radiotherapy units, where the X-ray source is held in a room large enough to accommodate a patient) then k is approximately 1. If the thickness of the layered shielding is large compared to the size of the cavity 106, then k is close to 3. For relatively compact shielding designs, the value of k is between 2 and 3.

(22) With k=2, M′=2.6 M; for k=3, M′=5.0. Therefore, the consequence of switching from lead shielding to steel shielding is to increase the required mass of the shield by a factor of 2.6-5.0. If the X-ray attenuation shield 110, 111 is constructed from concrete rather than lead, which has a still lower density, the increase in mass is a factor of 8.8-57. The inventor has determined that it is advantageous to construct the X-ray attenuation shield 110, 111 from a high-density material, and most preferably lead, if the aim is to reduce the overall mass of the shielding.

(23) Neutron Attenuation Shielding

(24) A significant drawback of constructing the X-ray attenuation shield from an element such as lead is the production of photoneutrons. Generally, the X-ray threshold energy for the production of neutrons via (g,n) reactions decreases with increasing atomic number, and the reaction probability or cross-section increases.

(25) Lead consists of 4 naturally occurring isotopes: .sup.204Pb (1.4%), .sup.206Pb (24.1%), .sup.207Pb (22.1%) and .sup.208Pb (52.4%). The (g,n) thresholds for these isotopes are 8.4, 8.1, 6.7 and 7.4 MeV respectively. This means that an accelerator operated to produce X-rays with an end-point energy of about 6.7 MeV or higher will give rise to photoneutrons, with the production of neutrons increasing rapidly with increasing X-ray energy. Heavy metals such as lead are very poor at shielding neutrons.

(26) The inventor considered adding a neutron attenuation shield outside of the X-ray shield, being formed from a material which efficiently thermalises (slows-down) and absorbs neutrons. Materials with a high hydrogen content are very efficient at slowing down neutrons, due to the high energy loss that occurs in elastic (n,p) collisions. Examples of suitable materials having a high hydrogen content include polymers with the generic formula (—CH.sub.2-).sub.n such as polyethylene and polypropylene, and water. The hydrogen content of these materials is approximately 0.11-0.13 g/cm.sup.3. Advantageously, polymers such as polyethylene are available in large, self-supporting sheets which simplifies construction of the shielding. Other neutron shielding options include materials such as polyurethane resin, which can be cast into the required form. The resin may be mixed with materials such as polyethylene pellets to increase the hydrogen content.

(27) Advantageously, the neutron shielding layer is designed to include a proportion of an element, such as boron (B), that strongly absorbs thermal neutrons. The isotope .sup.10B (19.9% of natural boron) has a thermal neutron absorption cross-section of 3835 barns, compared to a value of just 0.333 barns for .sup.1H and 0.00353 barns for .sup.12C. The gamma-ray produced when boron absorbs a neutron has an energy of 478 keV compared to 2234 keV resulting from neutron capture by hydrogen. Optionally, lithium (Li) may be selected as an absorbing element. The isotope .sup.6Li (7.6% of natural lithium) has a thermal neutron absorption cross-section of 940 barns. The lower cross-section and lower isotope fraction mean that lithium is a less efficient neutron absorber than boron. However, lithium produces no gamma-rays during neutron capture.

(28) Boron or lithium can be incorporated into the neutron shield in various forms. Boron-loaded and lithium-loaded polyethylene is available with various concentrations of dopants. A loading of 5% is typical and provides efficient thermal neutron absorption. Soluble boron or lithium compounds can be added to water. Powdered boron or lithium compounds can be added to resin or resin-polymer bead mixtures.

(29) The tenth value layer (TVL) thickness for neutrons in a material such as borated polyethylene is a function of neutron energy. Neutrons produced in (g,n) reactions have a maximum energy equal to the accelerator electron beam energy minus the reaction threshold, but most neutrons are produced at very low energy. In instances where the accelerator energy is less than 15 MeV, the mean neutron energy is <<1 MeV. The value for the neutron TVL in borated polyethylene is about 62 mm [NCRP Report No. 79, Neutron Contamination from Medical Electron Accelerators]. A neutron shield of thickness 200-300 mm will then reduce the neutron flux by a factor of 1700-7000.

(30) Gamma Attenuation Shielding

(31) Designing appropriate radiation shielding is further complicated since the capture of neutrons in the neutron shielding layer can produce energetic gamma-rays. The low-density hydrogenous materials used for the neutron shielding layer provide very limited shielding of these gamma-rays, which can be most efficiently blocked using a tertiary shield (gamma attenuation shield) comprised of lead, steel or other high density metal.

(32) If boron is used as the neutron absorbing material in the neutron attenuation shield, then the gamma-ray flux outside of the shield is dominated by 478 keV gamma-rays resulting from neutron capture by .sup.10B. The TVL for 478 keV gamma-rays in lead is approximately 1.2 cm, and in iron, 5.2 cm. To provide 100-fold attenuation of the neutron-induced gamma-ray dose-rate would require a thickness of approximately 2.5 cm of lead or 10 cm of iron. The mass of iron shielding required to produce this level of attenuation would be about 3 times greater than the mass of lead shielding. Consequently, lead is the preferred choice for the gamma attenuation shield.

(33) Member for Inserting and Removing Samples

(34) A mechanism for rapidly inserting and removing samples from the vicinity of the X-ray source is desired. This is particularly true for short-lived activation reactions such as formation of the .sup.197Au meta-state which has a half-life of 7.73 s.

(35) The layered shield includes a sleeve, or a sample access channel, which is substantially straight. The plug 140 completely fills the sample access channel when it is inserted and provides the means for inserting and removing samples as described previously. As illustrated in FIG. 2, the outer profile of the plug 140 is stepped to remove any straight-line paths through which either X-ray or neutron radiation can escape. Advantageously, this allows for larger tolerances to be left between the sides of the plug 140 and the walls of the channel through which the plug passes, simplifying both manufacture and movement of the plug.

(36) Determination of Thicknesses of the X-Ray, Neutron and Gamma Attenuation Shields

(37) The X-ray attenuation shield thickness in the forward direction is estimated using tabulated TVLs and the desired dose attenuation factor. Consider an accelerator that produces an unshielded dose rate at 1 m from the target in the forward direction of R Sv/min. Suppose that the desired, shielded dose rate at the closest personnel-accessible point at distance d from the target is r microSv/hour. For a lead X-ray attenuation shield where the TVL for Bremsstrahlung radiation is independent of the accelerator energy over at least the energy range 4-25 MeV, the shielding thickness t is given by:
t=TVL×log.sub.10[(60×10.sup.6)/(rd.sup.2)]  (1)

(38) For example, consider a LINAC producing a maximum unshielded dose rate of 160 Sv/min. If the closest accessible point is 1 m from the target and the desired shielded dose rate is 2.5 microSv/hour, then t=9.8 TVL. Substituting the tabulated value of 57 mm for TVL yields t=560 mm.

(39) The determination of the optimum X-ray attenuation shield thickness at different angles is a more complex calculation, as it depends not just on the angular profile of X-ray emission from the source, but also on the processes of X-ray scattering and absorption inside the shielding. The inventor has determined empirically that for accelerator sources producing X-rays with end-point energies in the range 8-14 MeV, X-ray attenuation shielding thicknesses within the range of 60-80% (and more preferably 75%) and within the range of 25-50% (and more preferably 50%) of the thickness in the forward direction are suitable at angles of 90° and 180° to the electron beam respectively. For the example under consideration, an X-ray attenuation shield thickness of 420 mm is required at an angle of 90°, and a thickness of about 280 mm is required at an angle of 180°.

(40) Within these overall requirements on shield thickness, the detailed configuration of the shielding can be most conveniently optimised using a radiation transport computer code, such as a Monte Carlo simulation. The simulation code can be used to model the production, scattering and absorption of X-rays, and to record the simulated dose rate at different positions throughout the model. The shielding configuration can then be optimised to achieve the desired dose rate at all points on the outer surface of the shield. General-purpose Monte Carlo simulation codes such as EGS, MCNP and GEANT are readily available.

(41) Determination of the thickness of the neutron attenuation shield depends on the rate of production of neutrons, which is a strong function of the accelerator end-point energy. Neutron production can occur in the accelerator target, in the irradiated sample, and in the X-ray attenuation shield. Neutron production data are supplied by manufacturers of many accelerator systems. They can also be measured experimentally, or calculated using computer simulation codes.

(42) FIG. 3 plots the neutron dose rate per unit forward-directed X-ray dose for an accelerator with a tungsten target and lead X-ray attenuation shielding. The electron accelerator operating energy, and hence the X-ray end-point energy is varied between 8 and 14 MeV. The results were determined by the inventor using a computer simulation of X-ray transport and neutron production, performed using the MCNP Monte Carlo code.

(43) Returning to the example of a LINAC producing an unshielded forward X-ray dose rate of 160 Sv/min, if the LINAC operating energy is 8.5 MeV, then the corresponding neutron dose rate will be approximately 160×2×10.sup.−6 Sv/min=3.2×10.sup.4 Sv/min. If it is desired to reduce this dose rate to 2.5 microSv/hr at a distance of 1 m, then equation 1 can be used to determine that t=3.9 TVL. With a TVL of 62 mm for low energy neutrons, the corresponding shielding thickness is 240 mm. As neutron production is a function of LINAC energy, the designed thickness should be calculated for the envelope of operating energies/dose-rate outputs for the application in question, and the largest thickness selected.

(44) As neutron production is approximately isotropic, a similar shielding thickness is required in all directions. If the design of the electron accelerator requires a substantial cavity to house the accelerating structure, such that the portion of the shield in a backwards direction is significantly further from the target than the portion in a forward direction, then equation 1 predicts that a reduced shielding thickness may be acceptable in the backward direction, due to the larger value of d.sup.2.

(45) A coupled photon-neutron Monte Carlo simulation can be used to optimise the detailed design of the neutron attenuation shield. A model of the X-ray attenuation shield and neutron attenuation shield is created, and X-rays and X-ray induced neutrons tracked through the model. The neutron dose rate is then recorded at points on the surface of the neutron attenuation shield. The thickness of the neutron attenuation shield can be adjusted to ensure that this outer surface approximately coincidences with a neutron isodose contour at the desired dose-rate level.

(46) As the production of neutron-induced gamma-rays is proportional to the neutron flux, and the respective thicknesses of the neutron attenuation shield and the gamma attenuation shield required to reduce the neutron and gamma-ray fluxes to acceptable levels are both proportional to the logarithm of the flux reduction factor, the required thickness of the gamma attenuation shield is proportional to the optimised thickness of the neutron attenuation shield.

(47) In the case that the neutron attenuation shield is made from polyethylene containing 5% boron by weight, and the gamma attenuation shield is made from lead, the inventor has determined that the optimal thickness of the gamma attenuation shield is 0.1 times the thickness of the secondary polyethylene layer. For example, if the thickness of the neutron attenuation shield in a particular location is 300 mm, then the optimal thickness of the gamma attenuation shield at this position is 30 mm. If the composition of the neutron or gamma attenuation shields are changed, a different constant of proportionality can be determined, for example through the use of Monte Carlo simulation.

(48) The embodiment herein described has the advantage in that it can provide GAA services in a compact, relocatable format. The embodiment herein described allows an 8 kW, 8-14 MeV LINAC-based X-ray source to be deployed in the footprint of a standard 20′ shipping container. With the addition of additional container(s) housing sample handling and radiation detection systems, an entire GAA facility can be constructed in a factory and then rapidly transported and set up in any desired location. This is particularly advantageous when it is desired to set up a minerals analysis lab at a remote location such as a mining site.

(49) Embodiments of the invention provide radiation shielding designed for use around a high-energy X-ray source in such a way as to reduce the size and weight of the shielding compared to existing designs. Advantageously, reducing the size and weight to be consistent with the allowed parameters for a standard 20′ shipping container permits easier installation of high-energy X-ray equipment.

(50) Whilst embodiments of the invention have been described as being particularly applicable to fields requiring the analysis of elements in mineral samples, the invention is additionally applicable to applications including radiography, cargo screening, fissionable material detection and sterilisation. In essence, the invention is application to any application requiring the deployment of X-ray sources operable at sufficiently high-energy to produce neutrons.

(51) Whilst not illustrated, it should be appreciated that to enable maintenance of the accelerator, the apparatus will in most circumstances be configured to enable access to the accelerator. The apparatus may therefore be configured with doors in the vicinity of the accelerator. In one instance the apparatus may be configured with doors situated at the rear end of the accelerator immediately behind the accelerator permit this access.

(52) It will be appreciated by persons skilled in the art that numerous variations and/or modifications may be made to the above-described embodiments, without departing from the broad general scope of the present disclosure. The present embodiments are, therefore, to be considered in all respects as illustrative and not restrictive.