Startseite Simulation of gamma-ray shielding properties for materials of medical interest
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Simulation of gamma-ray shielding properties for materials of medical interest

  • Mucize Sarihan EMAIL logo
Veröffentlicht/Copyright: 8. Februar 2022

Abstract

Radiation that is emitted from unstable nuclei during radioactive decay is an important phenomenon to be used in large fields, and thus, radiation shielding properties are important especially for gamma rays. Thus, in the present work, the radiation shielding properties in terms of linear attenuation coefficients and some other quantities for medical interest materials of water, fat and bone have been obtained. The results simulated by Phy-X/PSD online code the energy range of 10−3–105 MeV.

1 Introduction

Some of the atomic nuclei are not stable and could be due to natural reasons or due to some nuclear reactions, which are man-made. Those nuclei must be converted to stable nuclei by emitting some particles, the so-called radiation. If this emission is the result of natural, then the emitting radiation is called natural radiation and if it is man-made (after nuclear reaction), then it is called man-made radiation. While natural radiation has existed since the formation of the universe and because of the long half-life of radionuclides. Using radiation in different fields has spread man-made radiation. Besides using radiation in different fields, its hazardous effect on human beings has led researchers to work in dosimetry and shielding topics. Many different radiation processes are used in the health sector, especially to diagnose and treat diseases. This radiation may affect both radiation workers and patients and thus they should be kept away from these radiations. Thus, medical dosimetry is developed in order to design, calculate and measure the radiation dose portals. Gamma radiation types are different from others as they are uncharged and thus it is difficult t to stop them, and also detection is more difficult than other charged particles. Therefore, simulation works are commonly used to estimate the shielding of gamma rays. The linear attenuation coefficient (LAC, µ cm−1) is generally used to express the shielding quantity of the material. The LAC is expressed as the possibility of a radiation coupling with a material per unit path length [1]. The shielding characteristics depend on densities, the atomic number of the materials and also gamma-ray energies [1,2,3,4,5].

Many different shielding materials have been tested in order to develop valuable material besides conventional material for shielding purposes [639].

Thus, many different research works have been performed on the development of shielding materials for gamma rays [639] and a number of studies were performed in the pharmaceutical sector [4042]. There are also other works done by other methods such as ANN [4349].

In this study, shielding capabilities of some materials of medical interest were obtained using Phy-X/PSD software.

2 Materials and methods

In this study, the shielding properties of gamma rays of human tissue-related materials are determined. The human tissue is made of water, fat, and bone tissue. Therefore, human tissue-related materials of medical interest are considered as fat, water, and bone matrix. The elemental composition of these materials is given in Table 1 [50].

Table 1

Chemical contents of materials (wt%) [50]

Code Materials H C N O P Ca Density (g cm−3)
S1 Water 0.1119 0.8881 1.00
S2 Fat 0.1190 0.7720 0.1090 0.92
S3 Bone matrix 0.0344 0.7140 0.1827 0.0689 1.13

The LACs (µ cm−1) of gamma rays of any material are a basic parameter and it is also used to obtain other parameters in medical dosimetry. The theory of the LAC (µ cm−1) is expressed by the Beer–Lambert law as in equation (1) [39]

(1) N = N o e μ x ,

where N o and N are the number of counts before and after in the spectrum, respectively, passing through, and x is the material’s thickness.

The LAC and LAC-based parameters were also determined by Phy-X/PSD online software program, which was developed by Sakar et al. [51,52].

3 Results and discussion

In order to investigate radiation shielding properties of related tissue materials of medical interest, the LAC, MAC, mfp, HVL, TVL, Z eff, N eff, and C eff have been determined.

The calculated results of LAC are displayed in Figure 1 as a function of gamma-ray energies. It may be clearly seen in Figure 1 that the distribution of LAC decreased when the gamma-ray energies increased. It is also clear from this that the variation of LAC with the gamma rays is energy-dependent.

Figure 1 
               The results of LAC as a function of gamma-ray energies.
Figure 1

The results of LAC as a function of gamma-ray energies.

At low energy, the LAC sharply decreased and slightly decreased at mid energy. At high energy, it seemed to be constant. This could be due to different absorption mechanisms for different gamma energies [4]. For the special gamma-ray energies of 0.511, 0.662, 0.835, 1.173, 1.275, and 1.332 MeV, which are interesting in medical application, the LACs are shown in Figure 2 for all materials. It may be observed from this figure that the LAC decreased linearly when the gamma-ray energies increased. A high correlation rate (R 2 > 97%) has been obtained for all materials. On comparing the LAC with the material type, the highest LAC has been obtained for the S3 material while the lowest one is for the S2 material. This may be due to the fact that the density depends on LAC [2,3,5]; thus, the LAC is plotted versus the density at 0.511, 0.662, 0.835, 1.173, 1.275, and 1.332 MeV gamma rays in Figure 3. It may be observed from this figure that the LAC increased with the increase of the density of materials. This is in agreement with the previous works [6,7,8] and a good correlation has been obtained (R 2 > 99% for all energies).

Figure 2 
               The LAC as a function of gamma-ray energies for four materials.
Figure 2

The LAC as a function of gamma-ray energies for four materials.

Figure 3 
               The calculated LAC as a function of density.
Figure 3

The calculated LAC as a function of density.

The density of a material is also used to obtain mass attenuation coefficients (MACs) by dividing the LAC by the density. This is obtained and shown in Figure 4 for all materials. It may be observed from this figure that a similar structure has been obtained with the LAC apart from the quantities. It may also be observed in this figure that in the mid energy the MAC values are comparable for all materials, while, at other energies, S3 is higher than others.

Figure 4 
               The MAC distribution as a function of gamma-ray energies.
Figure 4

The MAC distribution as a function of gamma-ray energies.

The mfp of any material, defined as the gamma-ray penetration length, may be obtained using equation (2)

(2) mfp = 1 μ .

The results of mfp varying with energies is shown in Figure 5; it can be observed from the figure that the mfp has a nonlinear relation with the LAC. It can also be observed that mfp is highest for S2 and lowest for S3.

Figure 5 
               The mfp distribution with the gamma-ray energies.
Figure 5

The mfp distribution with the gamma-ray energies.

Other radiological parameters of HVL and TVL are expressed as the thickness of materials to stop half (50%) and 10% of gamma rays, respectively, and they are obtained using equations (3) and (4), respectively:

(3) HVL = l n ( 2 ) μ ,

(4) TVL = l n ( 10 ) μ .

The obtained HVL and TVL results are shown in Figures 6 and 7 and it can be observed that the distribution of HVL and TVL is similar to the mfp. It can also be observed that the highest values of HVL and TVL are for S2 while the lowest ones are for S3, as expected.

Figure 6 
               The HVL distribution with the gamma-ray energies.
Figure 6

The HVL distribution with the gamma-ray energies.

Figure 7 
               The TVL distribution with the gamma-ray energies.
Figure 7

The TVL distribution with the gamma-ray energies.

The effective atomic number (Z eff) and electron density (N eff) are other important parameters for the radiation shielding material and are obtained using equations (5) and (6), respectively [39]:

(5) Z eff = σ a σ el ,

(6) N e = ( μ / ρ ) material σ el ,

where σ a and σ el are the total atomic and electric cross sections, respectively, and they are obtained via MAC using equations (7 and 8):

(7) σ a = 1 N ( μ / ρ ) material i w i A i .

In equation (7), μ/ρ is the total MAC, N is the Avogadro’s number, and A i and w i are atomic weights and fractional weights of each constituent of materials:

(8) σ el = 1 N i f i A i Z i μ ρ i ,

where f i is the atomic number of element i and Z i is the atomic number of the ith element in a mixture.

The calculated Z eff and N eff have been displayed as a function of gamma-ray energies in Figures 8 and 9, respectively. It is clearly seen from these figüres that both depend on the energy of gamma rays and the distributions are similar. As can be seen from this figure, the values decreased at gamma energies of 0.1-1 MeV.

Figure 8 
               The calculated Z
                  eff as a function of gamma-ray energies.
Figure 8

The calculated Z eff as a function of gamma-ray energies.

Figure 9 
               The N
                  eff distribution as a function of gamma-ray energies.
Figure 9

The N eff distribution as a function of gamma-ray energies.

The effective conductivity (C eff) of materials was also calculated as a function of gamma-ray energies and the results are shown in Figure 10.

Figure 10 
               The calculated C
                  eff as a function of gamma-ray energies.
Figure 10

The calculated C eff as a function of gamma-ray energies.

4 Conclusion

The shielding properties of some human tissue-related materials against gamma rays have been determined. The energy range of gamma rays is 10−3–105 MeV and the calculations were done using Phy-X/PSD. It can be concluded that the LAC decreases with an increase of gamma-ray energies. It is also seen that the bone has a higher shielding capability than water and fat.

  1. Funding information: The authors declare that there is no funding to be acknowledged.

  2. Author contributions: M.S. has performed all work (simulation, analyses, and writing) and accepts responsibility for releasing this material.

  3. Conflict of interest: The author declares that she has no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

  4. Ethical approval: The conducted research is not related to either human or animal use.

  5. Data availability statement: The data that support the findings of this study are available on request from the corresponding author. The data are not publicly available due to privacy or ethical restrictions.

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Received: 2021-11-28
Revised: 2021-12-07
Accepted: 2021-12-10
Published Online: 2022-02-08

© 2022 Mucize Sarihan, published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 International License.

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  56. Machine learning-based forecasting of potability of drinking water through adaptive boosting model
  57. The potential effect of the Rumex vesicarius water seeds extract treatment on mice before and during pregnancy on the serum enzymes and the histology of kidney and liver
  58. Impact of benzimidazole functional groups on the n-doping properties of benzimidazole derivatives
  59. Extraction of red pigment from Chinese jujube peel and the antioxidant activity of the pigment extracts
  60. Flexural strength and thermal properties of carbon black nanoparticle reinforced epoxy composites obtained from waste tires
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  66. Study on the influence of physical interlayers on the remaining oil production under different development modes
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  68. Influence of different sample preparation strategies on hypothesis-driven shotgun proteomic analysis of human saliva
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  72. Determination of oil composition of cowpea (Vigna unguiculata L.) seeds under influence of organic fertilizer forms
  73. Activated partial thromboplastin time maybe associated with the prognosis of papillary thyroid carcinoma
  74. Treatment of rat brain ischemia model by NSCs-polymer scaffold transplantation
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  76. Characterization of electroless Ni-coated Fe–Co composite using powder metallurgy
  77. Ferrate synthesis using NaOCl and its application for dye removal
  78. Antioxidant, antidiabetic, and anticholinesterase potential of Chenopodium murale L. extracts using in vitro and in vivo approaches
  79. Study on essential oil, antioxidant activity, anti-human prostate cancer effects, and induction of apoptosis by Equisetum arvense
  80. Experimental study on turning machine with permanent magnetic cutting tool
  81. Numerical simulation and mathematical modeling of the casting process for pearlitic spheroidal graphite cast iron
  82. Design, synthesis, and cytotoxicity evaluation of novel thiophene, pyrimidine, pyridazine, and pyridine: Griseofulvin heterocyclic extension derivatives
  83. Isolation and identification of promising antibiotic-producing bacteria
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  85. Evaluation of phytochemical and antioxidant potential of various extracts from traditionally used medicinal plants of Pakistan
  86. Effect of calcium lactate in standard diet on selected markers of oxidative stress and inflammation in ovariectomized rats
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  88. Zirconium-modified attapulgite was used for removing of Cr(vi) in aqueous solution
  89. The stress distribution of different types of restorative materials in primary molar
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  92. Synthesis and characterization of bismuth oxide/commercial activated carbon composite for battery anode
  93. Phytochemical analysis of Ziziphus jujube leaf at different foliar ages based on widely targeted metabolomics
  94. Effects of in ovo injection of black cumin (Nigella sativa) extract on hatching performance of broiler eggs
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  103. Review Articles
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  105. Research progress on speciation analysis of arsenic in traditional Chinese medicine
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  111. Recent progress of amino acid transporters as a novel antitumor target
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  113. Corrigendum
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  115. Corrigendum to “Design of a Robust sliding mode controller for bioreactor cultures in overflow metabolism via an interdisciplinary approach”
  116. Corrigendum to “Statistical analysis on the radiological assessment and geochemical studies of granite rocks in the north of Um Taghir area, Eastern Desert, Egypt”
  117. Corrigendum to “Aroma components of tobacco powder from different producing areas based on gas chromatography ion mobility spectrometry”
  118. Corrigendum to “Mechanical properties, elastic moduli, transmission factors, and gamma-ray-shielding performances of Bi2O3–P2O5–B2O3–V2O5 quaternary glass system”
  119. Erratum
  120. Erratum to “Copper(ii) complexes supported by modified azo-based ligands: Nucleic acid binding and molecular docking studies”
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  136. Chemical composition and in vitro and in vivo biological assortment of fixed oil extracted from Ficus benghalensis L.
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  138. Ethnopharmacological study of medicinal plants in Kastamonu province (Türkiye)
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  143. Chemical composition and antimicrobial activity of essential oils from Mentha pulegium and Rosmarinus officinalis against multidrug-resistant microbes and their acute toxicity study
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  146. Antifungal–antiproliferative norcycloartane-type triterpenes from the Red Sea green alga Tydemania expeditionis
  147. Solvent effect, dipole moment, and DFT studies of multi donor–acceptor type pyridine derivative
  148. An extensive assessment on the distribution pattern of organic contaminants in the aerosols samples in the Middle East
  149. Special Issue on 4th IC3PE
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  151. A review: Silver–zinc oxide nanoparticles – organoclay-reinforced chitosan bionanocomposites for food packaging
  152. Green synthesis of magnetic activated carbon from peanut shells functionalized with TiO2 photocatalyst for Batik liquid waste treatment
  153. Coagulation activity of liquid extraction of Leucaena leucocephala and Sesbania grandiflora on the removal of turbidity
  154. Hydrocracking optimization of palm oil over NiMoO4/activated carbon catalyst to produce biogasoline and kerosine
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  159. Topical Issue on phytochemicals, biological and toxicological analysis of aromatic medicinal plants
  160. Phytochemical analysis of leaves and stems of Physalis alkekengi L. (Solanaceae)
  161. Phytochemical and pharmacological profiling of Trewia nudiflora Linn. leaf extract deciphers therapeutic potentials against thrombosis, arthritis, helminths, and insects
  162. Pergularia tomentosa coupled with selenium nanoparticles salvaged lead acetate-induced redox imbalance, inflammation, apoptosis, and disruption of neurotransmission in rats’ brain
  163. Protective effect of Allium atroviolaceum-synthesized SeNPs on aluminum-induced brain damage in mice
  164. Mechanism study of Cordyceps sinensis alleviates renal ischemia–reperfusion injury
  165. Plant-derived bisbenzylisoquinoline alkaloid tetrandrine prevents human podocyte injury by regulating the miR-150-5p/NPHS1 axis
  166. Network pharmacology combined with molecular docking to explore the anti-osteoporosis mechanisms of β-ecdysone derived from medicinal plants
  167. Chinese medicinal plant Polygonum cuspidatum ameliorates silicosis via suppressing the Wnt/β-catenin pathway
  168. Special Issue on Advanced Nanomaterials for Energy, Environmental and Biological Applications - Part I
  169. Investigation of improved optical and conductivity properties of poly(methyl methacrylate)–MXenes (PMMA–MXenes) nanocomposite thin films for optoelectronic applications
  170. Special Issue on Applied Biochemistry and Biotechnology (ABB 2022)
  171. Model predictive control for precision irrigation of a Quinoa crop
Heruntergeladen am 15.9.2025 von https://www.degruyterbrill.com/document/doi/10.1515/chem-2021-0118/html
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