Journal of Radiation Protection and Research

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1) XIE WEI-MIN et al.: MEASURING THERMO-LUMINESCENCE EFFICIENCY OF TLD-2000 Journal of Radiation Protection and Research pissn 2508-1888 eissn 2466-2461 http://dx.doi.org/10.14407/jrpr.2016.41.2.179 Technical Paper Received July 17, 2015 / 1st Revised March 23, 2016 / Accepted June 7, 2016 Measuring Thermo-luminescce Efficicy of TLD-2000 Detectors to Differt Energy Photons Xie Wei-min, Ch Bao-wei, Han Yi, and Yang Zhong-Jian China Institute for Radiation Protection, Taiyuan, China ABSTRACT Background: As an important detecting device, TLD is a widely used in the radiation monitoring. It is esstial for us to study the property of detecting elemt. The aim of this study is to calculate the thermo-luminescce efficicy of TL elemts. Materials and Methods: A batch of thermo-luminescce elemts were irradiated by the filtered X-ray beams of average ergies in the range 40-200 kvp, 662 kev 137 Cs gamma rays and th the amounts of lights were measured by the TL reader. The deposition ergies in elemts were calculated by theory formula and Monte Carlo simulation. The unit absorbed dose in elemts by photons with differt ergies corresponding to the amounts of lights was calculated, which is called the thermo luminesct efficicy ( η (E)). Because of the amounts of lights can be calculated by the absorbed dose in elemts multiply η (E), the η (E) can be calculated by the experimtal data (the amounts of lights) divided by absorbed dose. Results and Discussion: The deviation of simulation results compared with theoretical calculation results were less than 5%, so the absorbed dose in elemts was calculated by simulation results in here. The change range of η (E) value, relative to 662 kev 137 Cs gamma rays, is about 30% in the ergy range of 33 kev to 662 kev, is in accordance by the comparison with relevant foreign literatures. Conclusion: The η (E) values can be used for updating the amounts of lights that are got by the direct ratio assumed relations with deposition ergy in TL elemts, which can largely reduce the error of calculation results of the amounts of lights. These data can be used for the design of individual dosimeter which used TLD-2000 thermo-luminescce elemts, also have a certain referce value for manufacturer to improve the ergy-response performance of TL elemts by formulation adjustmt. Correspondce to Xie Wei-min xmwdm141124@163.com Keywords: Thermo-luminescce efficicy, Monte Carlo model, Personal dosimeter This is an Op-Access article distributed under the terms of the Creative Commons Attribution Non- Commercial Licse (http://creativecommons.org/licses/by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. JOURNAL OF RADIATION PROTECTION AND RESEARCH, VOL.41 NO.2 JUNE 2016 179

1. INTRODUCTION 2) The thermo-luminescce dosimeter is an important device in the dose monitoring. Though thermo-luminescce dosimeter and related monitoring technology have already developed for decades and is mature relatively, the new thermo-luminescce materials, dosimeters and reading technologies are still continuing to bring out. Monte Carlo method has be widely used in the design of new thermo-luminescce dosimeter [1]. Wh a batch of thermo-luminescce elemts were irradiated by the filtered X-rays and gamma rays with differt ergies, their thermo luminescce efficicy, which is unit absorbed dose in the elemts corresponding to the amounts of lights, td to be differt. The thermo-luminescce efficicy parameter is used to modify the amounts of lights calculated by the direct ratio assumed relations with ergy deposition in the TL elemts for the differt ergy of photons. This study designed the experimt, got the range of data that unit deposition ergy in elemts correspond to the amounts of lights wh thermo-luminescce elemts, TL-2000 elemts, were irradiated by photons with differt ergies, in order to lay a basis for establishing the more accurate model of thermo-luminescce dosimeter (TLD). The photon ergy response in TL elemts usually normalized to the kerma, which indicated that the TL elemts are irradiated by unit kerma leading to the amounts of lights. The absorbed dose in TL elemts and kerma td to be differt. Founding the equation is shown as the following: ( μ / ρ) S(E) = η ( E) μ ( E) = η( E) ( μ / ρ) TLD LLLL (1) Where S( E ) indicates that unit kerma lead to the amounts of lights in TL elemts, and μ (E) is the ratio of the ergy-depdt mass ergy absorption coefficits of the thermo-luminescce material ( μ / ρ ) LiF, and that of, ( μ / ρ ), which physical meaning is absorbed dose in TL elemt normalized to the kerma. The relative TL efficicy, η (E), which responds the range of luminance of the elemts in case of the idtical absorbed dose of TL materials that are irradiated with the differt ergy of the filtered X and gamma rays. The phomon of the change of η (E) values can be explained by the principle of microdosimetry [2], which indicates that the ionization dsity of the TL materials irradiated Corresponding author : Xie Weimin, xmwdm141124@163.com No.102, Xuefu Street, Taiyuan City, Shanxi Province by the differt ergy photons are various, which will make η (E) values various. Under conditions of secondary electron equilibrium, the ionization dsity of the TL materials is intimately related to the ergy of photons, but the surrounding materials of TL elemts have a negligible effect on the dsity of ionization. As a result, wh constructing Monte Carlo model of individual dosimeter, we can modify the assumed condition that the deposition ergy is proportional to luminesct quantity by means of the various rules of η (E) values, which will attain the more correct result. The foreign bibliographic data indicate that the amounts of lights giv through the deposition ergy in TL elemts are modified by η (E) values, which is a familiar method [3]. The η (E) values may depd on many other factors such as the type of dopants, the amounts of dopants, grain size and the materials surrounding the grains and the TL etc. Ev if using the idtical materials, which produced by the differt manufactures can cause η (E) values diversely. The η (E) values can be measured by the experimt, which may make the using η (E) values correct. 2. Materials and Methods 2.1 Experimtal materials The wafer type TL elemts (TLD-2000) are commercially produced at Beijing Conqueror Electronic Co. Ltd (Beijing, China), dimsion: Φ4.5 0.8 mm. The dose pill (TLD-2000) described in this article in fact only refers to this dimsion, which will not repeat. 2.2 Experimtal procedure The TL elemts selected uniformity within ±3%, were annealed at 240 for 10 min and cooled rapidly to room temperature. The elemts were packed in 80 mg cm -2 thick, white polyethyle plastic bags and irradiated free-in-. The main purpose of plastic bags met the conditions of secondary electron equilibrium, also can make a supporting role. The dose pills packed the plastic bags were irradiated by the filtered X-rays (40 kv, 60 kv, 80 kv, 100 kv, 120 kv, 150 kv, and 200 kv) and 137 Cs gamma ray which were provided through China Institution for Radiation Protection Radioactive Metrology Station. The kerma of radiation field was 1 mgy. In the irradiation process, the normal directions of the surface of dose pills were parallel to the incidt directions of rays. In order to reduce the 180 JOURNAL OF RADIATION PROTECTION AND RESEARCH, VOL.41 NO.2 JUNE 2016 http://dx.doi.org/10.14407/jrpr.2016.41.2.179

error, we took five dose pills as a term that was irradiated in the experimt. The experimtal results were average. After the irradiation, the elemts were measured by the TL reader (TLD-3500). 3. RESULTS AND DISCUSSION 3.1 Calculation of Absorbed Dose in the Dose Pills The absorbed dose was calculated by two methods: one for according to the principle of dosimetry, using theoretical formula to calculate; the other for using the Monte Carlo method to calculate the deposition ergy in the dose pills, th the results were divided by mass (TL elemt), which got the absorbed dose. Two methods were as follows: 3.1.1 Computational Method of Theoretical Formula The absorbed dose was calculated by the following formula: D LiF = D ( μ / ρ) ( μ / ρ) LiF LLLL (2) The mass absorption ergy coefficits for each material ( μ / ρ ) was calculated by weighting the corresponding coefficits for elemts according to their relative weight contt, w i, in the material, as follows: μ = ρ N i= 1 μ wi, ρ N i i= 1 w = 1LLLL (3) The compont elemts for TL material (TLD- 2000) were Li, F, Mg, Cu, P, H, O, and the w i coefficits for Li, Mg, Cu, P, H, O were equal to 0.254366, 0.696269, 0.00086, 0.000228, 0.015062, 0.00147, and 0.031745; The assumed compont elemts for were H, C, N, O, Ar, and the w i coefficits for H, C, N, O, Ar were equal to 0.0006, 0.0001, 0.7509, 0.2356, and 0.0128, respectively, the values of μ / ρ for all these elemts and for, were tak from Hubbell [4]. The computational results were as follows: i Radiation medium Corresponding radiation ergy*(kev) Table 1. Computational Results of the The μ / ρ Value in the TL Material μ / ρ values of each elemt in TL material The Li F Mg Cu P H O μ / ρ values of TL material 40 kv 33 0.00112 0.01986 0.05562 0.78193 0.11562 0.00200 0.01403 0.01653 60 kv 48 0.00121 0.00655 0.01701 0.25914 0.03507 0.00263 0.00494 0.00563 80 kv 65 0.00142 0.00355 0.00769 0.11073 0.01488 0.00320 0.00299 0.00319 100 kv 83 0.00162 0.00262 0.00445 0.05200 0.00758 0.00369 0.00244 0.00245 120 kv 100 0.00178 0.00239 0.00339 0.02952 0.00504 0.00406 0.00235 0.00228 150 kv 118 0.00189 0.00240 0.00317 0.02260 0.00437 0.00433 0.00240 0.00231 200 kv 164 0.00215 0.00245 0.00276 0.00940 0.00310 0.00494 0.00255 0.00239 137 Cs 662 0.00254 0.00278 0.00290 0.00279 0.00285 0.00583 0.00294 0.00273 * For the X-rays, which refer to average ergy Table 2. Computational Results of the μ / ρ Value for Air Corresponding radiation ergy* Radiation medium of The μ / ρ values of each elemt in the The μ / ρ values (kev) H C N O Ar 40 kv 33 0.00200 0.00547 0.00896 0.01403 0.19416 0.01252 60 kv 48 0.00263 0.00254 0.00352 0.00494 0.05944 0.00457 80 kv 65 0.00320 0.00207 0.00244 0.00299 0.02478 0.00286 100 kv 83 0.00369 0.00205 0.00220 0.00244 0.01190 0.00238 120 kv 100 0.00406 0.00214 0.00223 0.00235 0.00731 0.00232 150 kv 118 0.00433 0.00225 0.00231 0.00240 0.00601 0.00238 200 kv 164 0.00494 0.00251 0.00252 0.00255 0.00350 0.00254 137 Cs 662 0.00583 0.00293 0.00293 0.00294 0.00266 0.00293 * For the X-rays, which refer to average ergy JOURNAL OF RADIATION PROTECTION AND RESEARCH, VOL.41 NO.2 JUNE 2016 181

Table 3. The Deposition Energy and Absorbed Dose of Pills (TLD-2000) Irradiated by differt Energy Rays under the Air Kerma of 1 mgy Radiation medium Mean ergy of rays (kev) Deposition ergy of mean single particle in the dose pill(mev) Absorbed dose of simulation computation in the dose pill (mgy) Absorbed dose of theoretical computation in the dose pill(mgy) Deviation of simulation results with the theoretical calculation results 40 kv 33 2.88 10-9 1.32 1.32 0% 60 kv 48 1.54 10-9 1.27 1.23 3.3% 80 kv 65 1.17 10-9 1.17 1.12 4.5% 100 kv 83 1.14 10-9 1.06 1.03 2.9% 120 kv 100 1.25 10-9 0.987 0.983 0.41% 150 kv 118 1.46 10-9 0.962 0.971-0.93% 200 kv 164 2.03 10-9 0.935 0.941-0.64% 137 Cs 662 9.73 10-9 0.941 0.932 0.97% * Pill mass: 0.0335 g Table 4. The Amounts of Lights of Dose Pills (TLD-2000) which was Irradiated by Differt Energy Rays under the Air Kerma of 1 mgy Radiation medium Mean ergy of rays(kev) ( μ / ρ) ( μ / ρ) LiF Reading of reader(s(e)) (μc) Absorbed dose of simulation computation in the dose pill( η (E) ) (mgy) Unit deposition ergy correspond to the amounts of lights( η (E) ) (μc mgy -1 ) The amounts of lights toward per mgy absorbed dose The amounts of lights toward per MeV deposition ergy* 40 kv 33 1.32 0.677 1.32 0.511 2.44 10-6 60 kv 48 1.23 0.653 1.27 0.513 2.46 10-6 80 kv 65 1.12 0.591 1.17 0.504 2.41 10-6 100 kv 83 1.03 0.499 1.06 0.470 2.25 10-6 120 kv 100 0.983 0.465 0.987 0.472 2.26 10-6 150 kv 118 0.971 0.492 0.962 0.512 2.45 10-6 200 kv 164 0.941 0.497 0.935 0.531 2.54 10-6 137 Cs 662 0.932 0.603 0.941 0.641 3.07 10-6 *Dose pill mass: 0.0335 g;the range of ergies were 33 kev-662 kev involved in this article, and the thermo luminescce dosimeter used the low atomic number material, the proportion of Bremsstrahlung can be neglected, so the absorbed dose is equal to kerma. Point source Φ4.5 0.8 mm Dose pill 80μm polyethyle 1m Fig. 1. Schematic diagram of simulation calculation (the dimsion of model was not drew according to scale, should be based on mark in the figure). 3.1.2 Computational Method of Monte Carlo The Monte Carlo model was established by MCNP-5 and calculated. The model is shown in Figure 1. The FCL is forcing collision card, which was added to reduce variance in the simulation. The *F8 card was used to record the simulation results, namely recording the deposition ergy in the dose pills. The simulation results were as follows: The Table 3 suggested that the deviation of simu- 182 JOURNAL OF RADIATION PROTECTION AND RESEARCH, VOL.41 NO.2 JUNE 2016

Fig. 2. The relative range values of luminous efficicy. ( experimtal data, the data of literature [5]) lation results compared with theoretical calculation results was less than 1% for the 40 kv, 120 kv, 150 kv, 200 kv, 662 kev; the deviation was about 3% for the 60 kv and 100 kv; the deviation was 4.5% for 80 kv, both the results were almost the same. 3.2 Related Results and Analysis The related analysis results were shown in Table 4: According to the above calculation,drawing the trd changing of η (E) with ergy, and comparing to the giv data of literature [5], as shown in the following figure(normalized to 137 Cs): Because of η (E) values depd on many other factors such as the type of dopants, the amounts of dopants, grain size and the materials surrounding the grains and the TL etc. Ev if using the idtical materials, which produced by the differt manufactures can cause η (E) values diversely. But the giv η (E) values of this article were close to the changeable range of corresponding data in the literature five. 4. CONCLUSION The study showed that photon with mean ergies betwe 33 kev and 662 kev, the range of unit deposition ergy in TL elemts correspond to the amounts of lights was close to 30%. The data of literature [5] suggested that photon with mean ergies betwe 12 kev and 1250 kev, the change range reached 40% or more. In terms of personal dosimeter, according to Chinese national standards 1), the range of ergy should be betwe 20 kev-1.5 MeV wh personal dose equivalce H p (10) is monitored, betwe 10 kev-1.5 MeV wh H p (0.07) is monitored, and the deviation caused by ergy response and angle response should not exceed 30%. So, wh the Monte Carlo model for the designing of personal dosimeters is built, the η (E) values can be used to modify the amount of luminesct lights calculated by ergy deposition in the TL elemts. These data can be used for the design of individual dosimeter which used TLD-2000 thermo-luminescce elemts, also have a certain referce value for manufacturer to improve the ergy-response performance of dose slice by formulation adjustmt. For ergies of X-ray is within 10-33 kev, the η (E) will be calculated in the future. ACKNOWLEDGEMENTS The authors would like to thank Ma Ruwei from CIRP and Wang Meiqian from CCNU for his valuable contributions to the manuscript. REFERENCES 1. Zhg Y, Li T, Gong C, Yan Q, Yue Z, Jiao N. Monte Carlo design for TLD personal neutron dosimeter. Nucl. Electron. Detect. Technol. 2010;30(10):1367-1371. 2. Olko P, Bilski P, Ryba E, Niewiadomski T. Microdosimetric interpretation of the anomalous photon ergy response of ultra-ssitive LiF: Mg,Cu,P TL dosimeters. Radiat. Prot. Dosimetry. 1993;47(1-4):31-35. 3. Eakins JS, Bartlett DT, Hager LG, Tanner RJ. Monte Carlo modeling of a TLD device containing 7 LiF:Mg,Cu,P detectors. Radiat. Meas. 2008;43: 631-635. 4. Hubbell JH. Photon mass attuation and ergyabsorption coefficits from 1 kev to 20 MeV. Appl. Radiat. Isot. 1982;43(2):1269-1290. 5. Bilski P, Olko P, B.Burgkhard, Piesch E, Waligorski MPR. Thermoluminescce efficicy of LiF:Mg,Cu,P (MCP-N) detectors to photons, beta electrons, alpha particles and thermal neutrons. Radiat. Prot. Dosimetry. 1994;55(1):31-38. 1) The individual monitoring standard of occupationally external exposure. CNS Publication 128, 2002;3-5. http://www.cnsonline.com.tw/ JOURNAL OF RADIATION PROTECTION AND RESEARCH, VOL.41 NO.2 JUNE 2016 183