Neutron detector using proportional counters
09678229 ยท 2017-06-13
Assignee
Inventors
Cpc classification
G01T3/008
PHYSICS
International classification
Abstract
A neutron detector module comprising a distribution of proportional counters positioned in a defined array. Each of the proportional counters includes a supply of a neutron sensitive gas for reacting with neutrons, and this reaction generates ionizing reaction products. The proportional counters include a multitude of tubes, and each of the tubes has a diameter between 0.50 inch and 1.00 inch. The neutron detector module comprises further a multitude of electrical conductors; and each of the conductors is positioned in one of the proportional counters, and the ionizing reaction products generate electric current pulses in the electrical conductors.
Claims
1. A neutron detector module, comprising: a container; a distribution of proportional counters positioned in a defined array in said container, each of the proportional counters including a supply of a neutron sensitive gas for reacting with neutrons, said reacting generating ionizing reaction products, and wherein the proportional counters include a multitude of tubes, each of the tubes having a diameter between 0.50 inch and 1.00 inch; and a multitude of electrical conductors, each of the conductors extending into one of the proportional counters, wherein said ionizing reaction products generate electric current pulses in the electrical conductors; and wherein: in said defined array, the proportional counters are positioned in a plurality of parallel rows; centers of the parallel rows are spaced apart between about 0.834 and 1.0 inch; and within each of the rows, centers of the proportional counters are spaced apart between about 0.896 and 1.063 inches.
2. The neutron detector module to claim 1, wherein the neutron sensitive gas is BF.sub.3, and the mass of the BF.sub.3 gas in each of the proportional counters is equal to or less than one gram.
3. The neutron detector module according to claim 2, wherein the pressure in each of the proportional counters is equal to or less than 105 kPa (absolute) at 20 C.
4. The neutron detector module according to claim 1, wherein each of the tubes has a diameter equal to or less than 0.75 inch.
5. The neutron detector module according to claim 4, wherein each of the tubes has a diameter between 0.63 inch and 0.69 inch.
6. The neutron detector module according to claim 4, wherein each of the tubes has a sidewall thickness between 0.015 inch and 0.038 inch.
7. The neutron detector module according to claim 1, wherein said multitude of tubes includes between 22 and 54 tubes.
8. The neutron detector module according to claim 1, further comprising a neutron moderator material inside said container for moderating neutrons in said container, and wherein: the neutron moderator material comprises pellets of the neutron moderator material positioned in the container, around the proportional counters; and the pellets fill the container, between and around the distribution of proportional counters.
9. The neutron detector according to claim 1, further comprising a base neutron moderator material inside said container for moderating neutrons in the container, and wherein: the base neutron moderator material defines a multitude of longitudinal openings; and the proportional counters are held in said longitudinal openings in said defined array.
10. A method of operating a neutron detector module comprised of a container and a distribution of proportional counters positioned in a defined array in the container, the method comprising: locating the detector module adjacent a source of neutron; and using the distribution of proportional counters to detect some of the neutrons from said source, each of the proportional counters including a neutron gas for reacting with the neutrons, said reacting generating ionizing reaction products, and wherein; the proportional counters include a multitude of tubes, each of the tubes having a diameter between 0.50 inch and 1.00 inch; and in said defined array, the proportional counters are positioned in a plurality of parallel rows; centers of the parallel rows are spaced apart between about 0.834 and 1.0 inch; and within each of the rows, centers of the proportional counters are spaced apart between about 0.896 and 1.063 inches.
11. The method according to claim 10, wherein the neutron sensitive gas is BF.sub.3, and the mass of the BF.sub.3 gas in each of the proportional counters is equal to or less than one gram.
12. The method according to claim 10, wherein each of the tubes has a diameter between 0.5 inch and 0.75 inch.
13. The method according to claim 10, wherein in said defined array, the proportional counters are positioned in a plurality of parallel columns; and centers of the columns are spaced apart between about 0.896 and 1.063 inches.
14. The method according to claim 10, wherein beads of neutron moderator material fill the container, between and around the proportional counters in the neutron detector module.
15. A neutron detector assembly comprising: a distribution of proportional counters positioned in a defined array; at least one support member holding the proportional counters in said defined array; each of the proportional counters including a supply of a neutron sensitive gas for reacting with neutrons, said reacting generating ionizing reaction products, and wherein the proportional counters include a multitude of tubes, each of the tubes having a diameter between 0.50 inch and 1.00 inch; and a multitude of electrical conductors, each of the conductors extending into one of the proportional counters, wherein said ionizing reaction products generate electric current pulses in the electrical conductors; and wherein: in said defined array, the proportional counters are positioned in a plurality of parallel rows; centers of the parallel rows are spaced apart between about 0.834 and 1.0 inch; and within each of the rows, centers of the proportional counters are spaced apart between about 0.896 and 1.063 inches.
16. The neutron detector assembly according to claim 15, wherein the neutron sensitive gas is BF.sub.3, and the mass of the BF.sub.3 gas in each of the proportional counters is equal to or less than one gram.
17. The neutron detector assembly according to claim 16, wherein: in said defined array, the proportional counters are positioned in a plurality of columns.
18. The neutron detector assembly according to claim 17, wherein each of the tubes has a diameter between 0.63 inch and 0.69 inch.
19. The neutron detector assembly according to claim 15, further comprising a container holding the distribution of proportional counters in the defined array, and a quantity of pellets of neutron moderator material filling the container, between and around the proportional counters to moderate neutrons in the neutron detector assembly.
20. The neutron detector module according to claim 1, wherein each of the tubes of the proportional counters has a length between 14 and 81 inches.
Description
BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS
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DETAILED DESCRIPTION
(15) Embodiments of the invention provide a neutron detector module, a method of operating a neutron detector module, and a neutron detector assembly. Multiple embodiments of the invention are disclosed herein, and this disclosure is provided in order to enable a person having ordinary skill in the art to practice the invention. The general principles and features described herein may be applied to other embodiments and applications without departing from the spirit and scope of the invention. Also, the terminology and phraseology used is for the purpose of describing exemplary embodiments. Thus, the present invention is to be accorded the widest scope encompassing numerous alternatives, modifications and equivalents consistent with the principles and features disclosed. For purpose of clarity, some features are not described or shown in detail so as not to obscure the present invention.
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(17) In the embodiment of
(18) Each of the proportional counters 106 is filled with a neutron sensitive gas; and in the operation of the detector module 100, neutrons passing through the proportional counters interact with the gas in the proportional counters. This interaction results in electrical pulse signals in conductors 112, and the pulses in the conductors are collected and analyzed. Also, in the embodiment of
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(20) In an embodiment, the proportional counters 106 in each row are staggered, or offset, relative to the proportional counters in the adjacent row or rows. For example, each counter in the top and bottom rows is laterally located midway between two of the counters of the middle row. In an embodiment, this offset between the proportional counters of adjacent rows is between one-half and five-eighths inch.
(21) As will be understood by those of ordinary skill in the art, in different embodiments of the invention, module 100 may be provided with different numbers of the proportional counters, and modules may be provided with any suitable number of proportional counters over a wide range of numbers. For example, with some embodiments, the module may have 22, 26 or 28 proportional counters. In other embodiments, the module may be provided with 17, 24 or 54 tubes. Other embodiments may have more or fewer proportional tubes than those expressly described herein.
(22) Any suitable proportional counters 106 may be used in this invention. For example, the proportional counters may comprise tubes, and
(23) An anode wire 124 axially or longitudinally extends through the tube 120. In an embodiment, the anode wire is centrally located in the tube and is secured at or adjacent to both ends of the tube. A brazed ceramic insulator with a metal cap 126 is secured at one end of the tube, sealing this end of the tube, with the anode wire 124 extending through the cap.
(24) Each tube 120 of the distribution 104 is filled with a neutron sensitive gas, and this gas may be mixed with other gases. In an embodiment, each tube holds one gram or less of BF.sub.3. The BF.sub.3 is .sup.10B enriched, and in an embodiment, the BF.sub.3 is enriched to contain at a minimum 96% .sup.10B. Other gases, such as argon or methane, may also be contained in the tube, and the pressure in the tube may be, for example, a maximum of 105 kPa absolute at 20 C.
(25) After the anode wire 124 is secured in a tube 120 and the tube is filled with the desired gas or gas mixture, the tube is hermetically sealed. Any suitable procedure may be used to do this. As mentioned above, a brazed ceramic insulator with a metal cap 126 may be used to close one end of the tube, with the anode wire 124 extending through that cap to the exterior of the tube while a copper tubulation may be used on the other end to vacuum process the tube before backfilling with the operational gases and sealed by cold-welding by applying a hydraulic pinch off tool.
(26) With the embodiment of
(27) With reference to
(28) In embodiments of the invention, box 102 is a standard neutron detection module (NDM) box used in a radiation portal monitor (RPM). With the embodiment shown in
(29) Cover 132 extends across and is secured to U-shaped section 130, enclosing proportional counters 106 within the box 102. In an embodiment, the length and width of the cover 132 match the length and width, respectively, of U-shaped section 130. Also, as an example, the cover may have a thickness or height of about one-half inch. End caps or plates 140 and 142 may be secured at the ends of the NDM box 102 to close those ends.
(30) Preamp modules 144 or other electronics may be located in detector module 100, in an area 146 between proportional counters and an end of NDM box 102, and these modules are connected to the anode-lead wires 44 extending from tubes 120 to obtain the desired readout of the detected neutron reactions in those tubes.
(31) With the embodiment shown in
(32) With the embodiment of
(33) Any suitable pellets or beads of moderator material 110 may be used in embodiments of the invention. As an example, the moderator material may be HDPE. The pellets may have irregular shapes, and may be of various shapes and sizes.
(34) As mentioned above, neutron detection module 100 may include an alternate internal moderator comprised of a core of neutron moderator material that is formed or provided with suitable core openings for proportional counters 106. In embodiments of the invention, proportional counters are positioned in these core openings.
(35) In an embodiment of the invention, this core is comprised of HDPE. Also, in an embodiment, the core is comprised of a series of individual segments. Each of the segments defines a multitude of longitudinal segment openings; and in the detector module 100, the core segments are arranged in series, adjacent to each other, with the longitudinal openings (will seal off end of HDPE) of the segments aligned to form the longitudinal openings of the core. Larger or smaller moderator boxes may be used, including cylindrical geometries. The core may be constructed as an individual component.
(36) The core segments may be formed and assembled together in any suitable way. For instance, each segment may be formed from a solid block of HDPE or graphite, and the through openings in the segment may be drilled through the segment, or the core may be formed from layers with molded or machined contours. The core may be formed of HDPE beads. Between 100 and 300 grams of activated alumina or activated charcoal may be blended with the beads.
(37) In an embodiment, the core has a generally cube shape, is between about 70 and 75 inches long, has a width between six and ten inches, and a height between two and three inches. As a more specific example, the core length may be 73.25 inches, the width of the core may be 7.5 to 8 inches, and the height of the core may be two and a half inches.
(38) Proportional counters 106 may be positioned and arranged in module 100 in a variety of ways. For example, with an alternate distribution, the proportional counters 106 may be arranged in three parallel rows, with the top and bottom rows including ten counters each, and with the middle row including nine counters. The counters are uniformly spaced apart in the core, and the counters in the middle row are staggered relative to the counters in the top and bottom rows. This uniform spatial arrangement may be achieved by mounting tubes at each end in a support frame, with additional support frames along the length of the tubes as needed.
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(40) In the embodiment of
(41) With the embodiment of
(42) The embodiment of
(43) In an embodiment, the core is comprised of a series of segments, represented at 160a, 160b and 160c. Each of the segments is a block of HDPE material and defines a multitude of longitudinal through openings, and the core segments are arranged in series, adjacent to each other, with the longitudinal openings of the segments aligned to form openings 162 of the core.
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(45) With the embodiment of
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(47) With the embodiment of
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(49) With the embodiment of
(50) The embodiment of
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(52) With reference to
(53) Alternatively, the tubes may be placed in openings of HDPE core, and the HDPE core is positioned in NDM box 102.
(54) Embodiments of the invention may be used in a wide range of specific applications. For example, embodiments of the neutron detector module may be used in homeland security applications where there is a need to detect spontaneous fission sources, such as plutonium and uranium, which may be smuggled in large cargo containers. The energy spectrum of neutrons emitted by these sources peaks between 0.5 and 1.0 MeV, with a significant tail up to 10 MeV.
(55) The detection of such high energy neutrons is commonly achieved with slow neutron detectors surrounded by a moderator, a hydrogen-rich material like polyethylene (C.sub.2H.sub.4). Thermal neutron detectors, typically based on neutron reactions with .sup.10B, or .sup.3He, as discussed above, have high detection efficiency for slow neutrons (<0.5 eV) but the probability of capturing neutrons with energies higher than a few keV is very low, and drops continuously with increasing energy. Fast neutrons entering the moderating material collide with hydrogen atoms, losing much of their kinetic energy, and they can subsequently be captured, with high efficiency, inside the detector. An important advantage of embodiments of this invention is that the total moderator thickness can be great enough to give a high probability of slowing down fast neutrons, while the distance that the thermal neutrons must diffuse to reach and interact with the BF.sub.3 is kept short. In embodiments of the invention, the moderator thickness between the proportional counters is in the range of 0.20 inches to 0.45 inches. Furthermore, interference effects between closely spaced large diameter tubes are eliminated or substantially reduced by the geometry of the aggregate detector. There is a preferred diameter for the tubes which avoids losses in efficiency due to the wall effect, while realizing significant gains in efficiency over systems containing larger diameter detector tubes with an equivalent volume of Boron trifluoride per system.
(56) The aggregate detector acts as a window to neutrons which would otherwise be absorbed parasitically in the moderator material resulting in higher detection efficiency due to the increased probability of detecting moderated neutrons diffusing back toward the direction of incidence. In embodiments of the inventions, it is not necessary to use solid moderator material between the proportional counters, as inexpensive, irregularly shaped HDPE pellets will suffice. In one embodiment of this invention, the efficiency of an NDM with a single 3-atmosphere 2 inch diameter .sup.3He proportional counter is achieved with no moderator between the detectors, and with a total of 22 grams of BF.sub.3. It should be noted that where solid moderator is used, or a combination of solid sections and pellets is used, even higher efficiencies can be achieved, including efficiencies that exceed NDM's with three 3-atmosphere 2 inch diameter .sup.3He detectors. Furthermore, in embodiments of the invention, the anode wire diameter and fill pressure of the neutron detectors allows for a lower operating voltage, in the range of 1300 volts.
(57) Embodiments of this invention may be used, for example, in a portal or gantry configuration in which one or more neutron detector modules are placed above, below or on either side of a gate area through which objects or vehicles under inspection pass. Square or cylindrical embodiments of this invention may be used for other kinds of nuclear assay scanning.
(58) In this configuration, any neutrons emitted from an object being inspected pass through the tube detectors. If a neutron reacts with a .sup.10B nucleus in the gas in one of the tubes, the nucleus is converted into two charged particles, a .sup.7Li and an a particle. These two emitted particles ionize the gas, thereby creating free ions and electrons. A voltage placed across the tube causes the electrons and ions to drift apart, with the electrons drifting toward the anode and the positive ions drifting towards the cathode. As these charged particles, or charge carriers, move through the tube, they induce current to flow in the anode. This current, or change in current, can then be amplified and outputted to signal processing electronics by an indication that a neutron interaction occurred in the tube.
(59) Experimental Results
(60) Experiments and simulations were conducted to compare the sensitivity of embodiments of this invention to a standard NDM module using (1), (2), or (3) Helium-3 neutron detectors filled to 3 atmospheres. MCNP modeling was conducted to evaluate the effect of tube diameter and spatial distribution on the efficiency of the neutron detection models. A summary of the results shows the following: The embodiment in
(61) Initial testing of a full-sized prototype of an embodiment of the invention was carried out in July of 2013 to compare its sensitivity to the standard neutron detection module HDPE box containing either (1) or (2) Helium-3 neutron detectors filled to three atmospheres of pressure. The testing demonstrated that embodiments of the invention have the equivalent neutron sensitivity of the (2) helium-3 neutron detector system, i.e., 4 cps/ng (.sup.252CF). The addition of up to a total of 52 detectors showed further significant increases in sensitivity, in excess of 6 cps/ng .sup.252Cf.
(62) Experimental Setup
(63) Experimental results were obtained using 72 inch active length He-3 and BF.sub.3 proportional counters in a standard NDM box measuring 84 inches by 12 inches by 5 inches. The test source used was 20 Ci (15%) of .sup.252Cf shielded in a DNDO specified source shield consisting of 2.5 cm of lead, inside 6 mm of steel, inside 2.5 cm of HDPE. Because of the source strength uncertainty, benchmark measurements of 3-atmosphere, 2 inch diameter by 72 inch active length He-3 proportional counters were taken and used to compare the relative efficiencies of the BF.sub.3 proportional counters.
(64) Benchmark tests results of NDM box with He-3 proportional counters fill to 3-atmospheres pressure: (1) He-3 tube in standard moderator box (centered in NDM box) 20,14950 counts/3 minutes; (2) He-3 tubes in standard moderator box 29,05550 counts/3 minutes; (3) He-3 tubes in standard moderator box 33,18250 counts/3 minutes.
(65) Results of 22 BF.sub.3 proportional counters in NDM box (
(66) Embodiments of the invention achieve higher sensitivity, in comparison with earlier attempts to qualify BF.sub.3 detectors for use in the standard NDM panel using He-3 deployed in many locations around the world. The object of those attempts was to find a drop-in replacement for the He-3 tubes without having to change the form-factor of the moderator box. The surprising results, in embodiments of the invention, come from the combination of detector tube size, aluminum cathode material, and fill pressure, in relation to the amount of moderating material around each detector tube and surrounding the cluster of detector tubes.
(67) HDPE is one of the most common neutron moderators in use because of its high hydrogen content. The neutrons are moderated by the block of HDPE through elastic collisions with hydrogen nuclei.
(68) In embodiments of the invention, the spatial distribution of detector tubes in the moderator increases the probability of moderation and detection of 1 MeV and higher energy neutrons, because the front rows of detector tubes act as a window allowing these neutrons to pass deeper into the moderator rather than being scattered out of the NDM or parasitically absorbed by the moderating material. Furthermore, since the energy dependence of the .sup.10B cross section is of the 1/v type over a wide range of energies, the greatest efficiency is realized for thermal neutrons with energies equal to 0.025 eV, where the neutron absorption cross section of .sup.10B is 3840 barnes. At neutron energies of 1 eV, this neutron absorption cross section drops to 607 barnes. Because of this strong dependency of the neutron absorption cross section on neutron energy, moderation of an incident neutron flux containing a range of neutron energies is necessary to achieve maximum detection efficiency.
(69) The substantial increases in efficiency for an aggregate neutron detector using BF.sub.3 proportional counters becomes more apparent only for diameters below approximately 0.75 inches. At diameters below 0.5 inches, the wall effect, which is already a factor in narrow BF.sub.3 proportional counters, has a negative effect on the neutron detection efficiency of the detectors. The neutron absorption products, an alpha particle and a .sup.7Li ion, have path lengths on the order of 1 cm. In proportional counters with dimensions that are generally less than 2 inches in diameter, the wall effect results from the collision of the reaction products with the wall before the incomplete deposition of their energy in the proportional counter gas, resulting in neutron events being detected as events that fall below the low level discriminator (LLD) setting of the detector electronics. In embodiments of the invention, although the wall effect is apparent in the output spectrum, there is a minimal decrease in efficiency due to some of the neutron events falling below the LLD level.
(70) The efficiency of a BF3 proportional counter is proportional to the detector volume, the number of 10B atoms per unit volume; therefore by increasing the volume of the detector and the pressure of the gas, the efficiency of the detector increases, for a given neutron spectrum. However, larger diameter BF.sub.3 neutron detector configurations have serious limitations in sensitivity due to the space constraints of the HDPE box and require much larger form factors to achieve equivalent sensitivities to He-3 based systems. This problem is solved by embodiments of this invention. Additionally, higher pressure BF.sub.3 neutron detectors, e.g., 1.5 to 2 atmospheres fill pressures, require higher operation voltages which can create problems with current leakage across insulator surfaces in high humidity environments; higher pressure fills also do not offer the safety advantages of an ambient pressure gas fill, i.e., 0 PSIG.
(71) With only 31 grams of BF.sub.3, an embodiment of this invention achieves a 39% sensitivity gain over BF.sub.3 systems built with three 2 inch diameter, 1 atmosphere filled tubes, or a total of 31 grams BF.sub.3.
(72) The minimum neutron sensitivity established by ANSI N42.43-2006 for radiation portal monitors (RPM's) is 2.5 cps/ng .sup.252CF. An RPM system with an NDM containing one Helium-3 detector (2 inch diameter with 3 atmospheres of gas) has a sensitivity of about 2.7 cps/ng .sup.252Cf, while a system containing an NDM with two Helium-3 detectors has a sensitivity of about 4.1 cps/ng .sup.252Cf. It should be noted that the sensitivity of an NDM when tested as a stand-alone unit will be lower than when the NDM is installed and tested in an RPM system. In an RPM system, the steel NEMA box that houses the NDM and the gamma detection module (GDM) reflects neutrons into the NDM, and the plastics in the GDM provide additional neutron moderation. Embodiments of this invention using 26 aluminum proportional counters matched the sensitivity, within the margin of error, of a (2) He-3 detector NDM. By using aluminum proportional counters instead of stainless steel proportional counters, a substantial gain in efficiency is achieved due to the relative transparency of aluminum to neutrons compared to stainless steel; however, the gains are magnified when aluminum is used in an aggregate system in combination with the tube diameter range of 0.63 to 0.069 inches.
(73) As mentioned above, simulations of embodiments of the invention have also been conducted. The simulation model was set up according to DHS specification where, [a] The .sup.252Cf neutron source was placed 2 m from the front of the poly module at the same height as the mid-point of the tubes. The .sup.252Cf source (shown at 160 in the left hand panel of
(74) The below table shows model simulations for efficiencies of (1), (2), and (3) 2 inch diameter .sup.3He tubes in neutron detection modules (NDM's):
(75) To account for factors (a) and (b), the simulation results should be multiplied 1.16. The correction for factors (a) and (b) allow for a more accurate comparison with published work that used only lead and HPDE in the source shield, and used the conversation factor for source activity of 1 gram .sup.252Cf emits 2,300 n/sec.
(76) To account for factor (c), the simulation results should be multiplied again by 1.15. Therefore, the table indicates a total multiplier factor of 1.31 which allows a more accurate comparison between published data on the sensitivity of a complete RPM system containing both the GDM and NDM in the steel NEMA box, and the sensitivity data for the NDM alone.
(77) TABLE-US-00001 TABLE 1 Simulation results for NDMs based on 3-atm. He-3 tubes. Count-rates (cps) for 1 ng Cf-52 source placed at 2 m from the front face of the NDM. # of Poly thickness Tube Count-rate for 1 File- 3-atm He-3 in front of He-3 configura- ng Cf-252 source name tubes tubes (inches) tion at 2 m (cps) HeB1 1 0.5 Asymmetric 2.025 HeB3 1 1.0 Asymmetric 2.10 HeB5 1 1.0 Symmetric 2.20 HeB5p 1 Poly in cavity Symmetric 1.45 HeB10 1 0.5 Symmetric 2.08 HeB2 2 0.5 3.11 HeB4 2 1.0 3.14 HeB6 3 0.5 Symmetric 3.53
(78) TABLE-US-00002 TABLE 2 Simulation results for NDMs based on 1-atm. BF.sub.3 tubes. Count-rates (cps) for 1 ng Cf-252 source placed at 2 m from the front face of the NDM. # of Poly thickness Tube Count-rate for 1 File- BF.sub.3 in front of configura- ng Cf-252 source name tubes tubes (inches) tion at 2 m (cps) BF1 3 (1.0 atm) 1.0 0.035 Al 2.51 BF2 3 (1.0 atm) 1.0 poly inserts 0.035 Al 2.76 BF3 3 (1.0 atm) 1.0 0.02 steel 2.38 BF4 3 (1.0 atm) 1.0 poly inserts 0.02 steel 2.62
Comparison of Simulation Results with Empirical Measurements
(79) Measurements were made to compare the efficiency of a .sup.3He single symmetric NDM, the 22 steel 0.585 ID tube BF3 models with a solid core, with poly beads in the cavity, and the 22 tube module with air in the cavity. The measurements showed a 9.2% advantage for the 22 tube BF.sub.3 module using the solid core as compared a 2.85% advantage for a poly bead core. The 22 tube module with air in the cavity showed a 15% drop in efficiency from the poly bead core model. The simulation results in the table below show an 8% advantage for the poly bead core over the single symmetric .sup.3He NDM, whereas the empirical measurements showed only a 2.85% advantage. This difference is a function of the ideal packing density of 0.74 for spherical beads used in the simulations as compared to the lower packing density of the irregular shaped HDPE pellets used in the experimental setup.
(80) TABLE-US-00003 Row Column Polybox Count-rate File Number of spacing spacing dimensions Tube (cps) for 1 name BF3 tubes (in) (in) (in) cavity ng Cf-252 T3 SK01939T 0.834 1.063 12 5 Solid poly 2.39 FIGS. 22, steel tubes 1 to 3 ID = 0.585 T3A SK01939T 0.834 1.063 12 5 Air filled 1.66 FIGS. 22, steel tubes 1 to 3 ID = 0.585 T3B SK01939T 0.834 1.063 12 5 Low density 2.25 FIGS. 22, steel tubes poly filled 1 to 3 ID = 0.585 HeB10 1 3-atm He-3 Symmetric 12 5 0.5 poly 2.08 in front Ratio efficiency: T3B/HeB10 = 2.25/2.08 = 1.08 or 8% improvement.
(81) Tube diameter study with steel and aluminum tubes.
(82) The goal of this study was to explore the variation of the NDM efficiency with the number of tubes. The ID's of the tubes were chosen so that the total weight of the BF3 in the NDM was less than 30 g. The study was performed with both steel and aluminum tubes. The thickness of the steel tubes was 0.02 inches and that of the aluminum tubes was 0.035 inches. The results are summarized in tables 3 and 4 and plotted in
(83) TABLE-US-00004 TABLE 3 Tube diameter study using steel tubes. Count-rates (cps) for 1 ng Cf-252 source placed at 2 m from the front face of the NDM Effi- Model File # of Tube ID Total BF3 Weight ciency number name tubes (inches) volume (L) BF3 (g) (cps) SK01939AP Ap2 5 1.48 10.15 28.63 2.65 SK01939AN An2 7 1.251 10.15 28.64 2.75 SK01939AL A12 12 0.955 10.14 28.61 2.81 SK01939V La429 29 0.616 10.19 28.77 2.98 FIGS. 12-14 SK01939V La4 32 0.585 10.15 28.63 3.02 FIGS. 12-14 SK01939AM Am2 52 0.459 10.15 28.64 2.82
(84) TABLE-US-00005 TABLE 4 Tube diameter study using Aluminum tubes. Count-rates (cps) for 1 ng Cf-252 source placed at 2 m from the front face of the NDM Effi- Model File # of Tube ID Total BF3 Weight ciency number name tubes (inches) volume BF3 (g) (cps) SK01939AP ZAL05 5 1.48 10.15 28.63 2.84 SK01939A0N ZAL07 7 1.251 10.15 28.64 2.98 SK01939AL ZAL12 12 0.955 10.14 28.61 3.09 SK01939V ZAL29 29 0.616 10.19 28.77 3.37 FIGS. 12-14 SK01939V ZAL32 32 0.585 10.15 28.63 3.42 FIGS. 12-14 SK01939AM ZAL52 52 0.459 10.15 28.64 3.46
(85) The NDMs based on A1 tubes have higher efficiencies as expected. The trend is the same as for steel tubes except that the 52-tube A1 module has sensitivity slightly higher than that of the 32-tube NDM. In the case of the steel tube NDMs the 52-tube NDM had a lower efficiency than the 32-tube NDM.
(86) TABLE-US-00006 TABLE 5 Spacing Tubes Polybox Extra Poly Count- File Model Row Column ID dimensions in front rate name description (in) (in) (in) material (in) (in) (cps) Simulation results for comparison with a one tube He-3 module using Al tubes. Count-rates (cps) for 1 ng Cf-252 source placed at 2 m from the front face of the NDM. T6 SK01939T 0.834 1.063 0.616 Al 12 5 0.5 2.88 FIGS. 22 tubes 1to3 T16 SK01939T 0.834 1.063 0.616 Al 12 5 Air in 2.05 FIGS. 22 tubes 2.5 1 to 3 8 cavity T17 SK01939T 0.834 1.063 0.616 Al 12 5 P-beads 2.73 FIGS. 22 tubes in 2.5 1 to 3 8 cavity Simulation results for (2) He-3 equivalent Ly6 SK01939AC: 0.834 0.896 0.616 Al 12 5 0.5 3.13 FIGS. 26 Al tubes 760torr 15-17 La3 SK01939V 1 0.948 0.585 Steel 12 5 0.25 3.16 FIGS. 34 steel tubes 12-14 Simulation results for (3) He-3 tube equivalent LA12 Model SK01939V 1 0.948 12 5 Solid poly 3.62 FIG. 31 Al tubes 12-14 ID = 0.616 Simulations results for NDM exceeding (3) He-3 tube efficiency AGAL1 SK01939AG: 1.0 0.948 0.616 Al 14 0.0 4.82 FIGS. 46 Al tubes 760torr 21-23 AGAL5 SK01939AG: 1.0 0.948 0.616 Al 12 0.0 4.34 FIGS. 46 Al tubes 760torr 18-20
(87) TABLE-US-00007 Simulation for NDM with a core filled with poly beads not solid poly. Row Column Polybox Tube Count-rate File Number of spacing spacing dimensions cavity (cps) for 1 ng name BF3 tubes (in) (in) (in) filling Cf-252 at 2 m AR1 Model SK01939AR 1 0.948 12 5 Poly beads 3.52 FIGS. 34 Al tubes 24-26 ID = 0.616
(88) The above examples are merely illustrative of the many applications of the system of present invention. Although only a few embodiments of the present invention have been described herein, it should be understood that the present invention might be embodied in many other specific forms without departing from the spirit or scope of the invention. Therefore, the present examples and embodiments are to be considered as illustrative and not restrictive, and the invention may be modified within the scope of the appended claims.