Abstract
Mass attenuation coefficients, effective atomic numbers, effective electron densities and Kerma relative to air for adipose, muscle and bone tissues have been investigated in the photon energy region from 20 keV up to 50 MeV with Geant4 simulation package and theoretical calculations. Based on Geant4 results of the mass attenuation coefficients, the effective atomic numbers for the tissue models have been calculated. The calculation results have been compared with the values of the Auto-\(Z_{\text {eff}}\) program and with other studies available in the literature. Moreover, Kerma of studied tissues relative to air has been determined and found to be dependent on the absorption edges of the tissue constituent elements.
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References
ICRP, Basic Anatomical and Physiological Data for Use in Radiological Protection: Reference Values. ICRP Publication 89. Ann. ICRP 32 (2003)
Y.S. Kim, Human tissues: chemical composition and photon dosimetry data. Radiat. Res. 57(1), 38–45 (1974). https://doi.org/10.2307/3573753
D.R. White J. Booz, R.V. Griffith et al., ICRU Report 44: tissue substitutes in radiation dosimetry and measurement. J. ICRU os23 (1989). https://doi.org/10.1093/jicru/os23.1.Report44
Y. Elmahroug, B. Tellili, C. Souga et al., Determination of total mass attenuation coefficients, effective atomic numbers and electron densities for different shielding materials. Ann. Nucl. Energy 75, 268–274 (2015). https://doi.org/10.1016/j.anucene.2014.08.015
A. McNair, ICRU Report 33: radiation quantities and units. J. Label Compd. Radiopharm. 18, 1398 (1981). https://doi.org/10.1002/jlcr.2580180918
R.T. Berger, The X- or gamma-ray energy absorption or transfer coefficient: tabulations and discussion. Radiat. Res. 15, 1–29 (1961). https://doi.org/10.2307/3571063
J.W. Allison, Gamma-radiation absorption coefficients of various materials allowing for Bremsstrahlung and other secondary radiations. Aust. J. Phys. 14, 443–461 (1961). https://doi.org/10.1071/PH610443
J.H. Hubbell, Photon mass attenuation and mass energy-absorption coefficients for H, C, N, O, Ar, and seven mixtures from 0.1 keV to 20 MeV. Radiat. Res. 70, 58–81 (1977). https://doi.org/10.2307/3574732
J.H. Hubbell, Photon mass attenuation and energy-absorption coefficients. Int. J. Appl. Radiat. Isot. 33(11), 1269–1290 (1982). https://doi.org/10.1016/0020-708X(82)90248-4
J.H. Hubbell, S.M. Seltzer, Tables of X-ray mass attenuation coefficients and mass energy-absorption coefficients 1 keV to 20 MeV for elements Z =1 to 92 and 48 additional substances of Dosimetric Interest. NIST Standard Reference Database 126 (1995). https://doi.org/10.18434/T4D01F
M.J. Berger, J.H. Hubbell, S.M. Seltzer et al., XCOM: photon cross sections database. NIST Standard Reference Database 8 (1998). https://doi.org/10.18434/T48G6X
L. Gerward, N. Guilbert, K.B. Jensen et al., WinXCom—a program for calculating X-ray attenuation coefficients. Radiat. Phys. Chem. 71(2004), 653–654 (2004). https://doi.org/10.1016/j.radphyschem.2004.04.040
C.T. Chantler, Theoretical form factor, attenuation, and scattering tabulation for Z = 1–92 from E = 1–10 eV to E = 0.4–1.0 MeV. J. Phys. Chem. Ref. Data 24(1), 71–643 (1995). https://doi.org/10.1063/1.555974
C.T. Chantler et al., X-ray form factor, attenuation and scattering tables. NIST Standard Reference Database 66 (2005). https://doi.org/10.18434/T4HS32
S. Agostinelli, J. Allison, K. Amako et al., GEANT4—a simulation toolkit. Nucl. Instrum. Methods Phys. Res. A 506(3), 250–303 (2003). https://doi.org/10.1016/S0168-9002(03)01368-8
M.E. Medhat, Y. Wang, Geant4 code for simulation attenuation of gamma rays through scintillation detectors. Ann. Nucl. Energy 62, 316–320 (2013). https://doi.org/10.1016/j.anucene.2013.06.034
V.P. Singh, M.E. Medhat, N.M. Badiger, Photon attenuation coefficients of thermoluminescent dosimetric materials by Geant4 toolkit, XCOM program and experimental data: a comparison study. Ann. Nucl. Energy 68, 96–100 (2014). https://doi.org/10.1016/j.anucene.2014.01.011
S.S. Obaid, M.I. Sayyed, D.K. Gaikwad et al., Photon attenuation coefficients of different rock samples using MCNPX, Geant4 simulation codes and experimental results: a comparison study. Radiat. Eff. Defect Solids 173(11–12), 900–914 (2018). https://doi.org/10.1080/10420150.2018.1505890
A. Kumar, S.P. Singh, Y. Elmahroug et al., Gamma ray shielding studies on 26.66 B2O3–16GeO2–4Bi2O3–(53.3−x)PbO–xPbF2 glass system using MCNPX, Geant4 and XCOM. Mater. Res. Express 5(9), 095203 (2018). https://doi.org/10.1088/2053-1591/aad821
R.M. Lokhande, B.S. Surung, P.P. Pawar, Measurement of effective atomic number and electron density of carbohydrates by using NIST, Geant4 and NaI(Tl): a comparative study. Int. J. Adv. Res. 5(5), 1733–1740 (2017). https://doi.org/10.21474/IJAR01/4303
M.E. Medhat, S.P. Shirmardi, V.P. Singh, Comparison of Geant 4, MCNP simulation codes of studying attenuation of gamma rays through biological materials with XCOM and experimental data. J. Appl. Comput. Math. 3(6), 1000179 (2014). https://doi.org/10.4172/2168-9679.1000179
M.I. Sayyed, H.O. Tekin, E.E. Altunsoy et al., Radiation shielding study of tellurite tungsten glasses with different antimony oxide as transparent shielding materials using MCNPX code. J. Non-Cryst. Solids 498, 167–172 (2018). https://doi.org/10.1016/j.jnoncrysol.2018.06.022
B.O. Elbashir, M.G. Dong, M.I. Sayyed et al., Comparison of Monte Carlo simulation of gamma ray attenuation coefficients of amino acids with XCOM program and experimental data. Results Phys. 9, 6–11 (2018). https://doi.org/10.1016/j.rinp.2018.01.075
M.I. Sayyed, S.A.M. Issa, M. Büyükyildiz et al., Determination of nuclear radiation shielding properties of some tellurite glasses using MCNP5 code. Radiat. Phys. Chem. 150, 1–8 (2018). https://doi.org/10.1016/j.radphyschem.2018.04.014
K. Verdipoor, A. Alemi, A. Mesbahi, Photon mass attenuation coefficients of a silicon resin loaded with WO3, PbO, and Bi2O3 micro and nano-particles for radiation shielding. Radiat. Phys. Chem. 147, 85–90 (2018). https://doi.org/10.1016/j.radphyschem.2018.02.017
A. Mesbahi, H. Ghiasi, Shielding properties of the ordinary concrete loaded with micro- and nano-particles against neutron and gamma radiations. Appl. Radiat. Isot. 136, 27–31 (2018). https://doi.org/10.1016/j.apradiso.2018.02.004
G.J. Hine, The effective atomic numbers of materials for various gamma ray interactions. Phys. Rev 85, 725–737 (1952)
M.T. Islam, N.A. Rae, J.L. Glover et al., Measurement of the X-ray mass attenuation coefficients of gold in the 38–50-keV energy range. Phys. Rev. A 81, 022903 (2010). https://doi.org/10.1103/PhysRevA.81.022903
B. Goswami, N. Chaudhuri, Measurements of gamma-ray attenuation coefficients. Phys. Rev. A 7, 1912–1916 (1973). https://doi.org/10.1016/0029-554X(73)90358-3
B.S. Sidhu, A.S. Dhaliwal, K.S. Mann et al., Study of mass attenuation coefficients, effective atomic numbers and electron densities for some low Z compounds of dosimetry interest at 59.54 keV incident photon energy. Ann. Nucl. Energy 42, 153–157 (2012). https://doi.org/10.1016/j.anucene.2011.12.015
H. Buhr, L. Büermann, M. Gerlach et al., Measurement of the mass energy-absorption coefficient of air for X-rays in the range from 3 to 60 keV. Phys. Med. Biol. 57(24), 8231–8247 (2012). https://doi.org/10.1088/0031-9155/57/24/8231
B. Akça, S.Z. Erzeneoğlu, The mass attenuation coefficients, electronic, atomic, and molecular cross sections, effective atomic numbers, and electron densities for compounds of some biomedically important elements at 59.5 keV. Sci. Technol. Nucl. Install. 901465 (2014). https://doi.org/10.1155/2014/901465
W. Geraldelli, A. Tomal, M.E. Poletti, Characterization of tissue-equivalent materials through measurements of the linear attenuation coefficient and scattering profiles obtained with polyenergetic beams. IEEE Trans. Nucl. Sci. 60(2), 566–571 (2013). https://doi.org/10.1109/TNS.2013.2248382
N.A.B. Amin, J. Zukhi, N.A. Kabir et al., Determination of effective atomic number s from mass attenuation coefficients of tissue-equivalent materials in the energy range 60 keV–1.33 MeV. J. Phys. Conf. Ser. 851, 012018 (2017). https://doi.org/10.1088/1742-6596/851/1/012018
C.A. Jayachandran, Calculated effective atomic number and Kerma values for tissue-equivalent and dosimetry materials. Phys. Med. Biol. 16(4), 617–623 (1971). https://doi.org/10.1088/0031-9155/16/4/005
S.R. Manohara, S.M. Hanagodimath, K.S. Thind et al., The effective atomic number revisited in the light of modern photon-interaction cross-section databases. Appl. Radiat. Isot. 68(4–5), 784–787 (2010). https://doi.org/10.1016/j.apradiso.2009.09.047
K.S. Mann, M. Kurudirek, G.S. Sidhu, Verification of dosimetric materials to be used as tissue-substitutes in radiological diagnosis. Appl. Radiat. Isot. 70(4), 681–691 (2012). https://doi.org/10.1016/j.apradiso.2011.12.008
M.L. Taylor, R.L. Smith, F. Dossing et al., Robust calculation of effective atomic numbers: the Auto-Zeff software. Med. Phys. 39(4), 1769–1778 (2012). https://doi.org/10.1118/1.3689810
A. Un, T. Caner, The direct-\(Z_{eff}\) software for direct calculation of mass attenuation coefficient, effective atomic number and effective electron number. Ann. Nucl. Energy 65, 158–165 (2014). https://doi.org/10.1016/j.anucene.2013.10.041
R. Nowotny, XMuDat: photon attenuation data on PC. IAEA Report IAEA-NDS 195 (1998)
A.M. El-Khayatt, NXcom—a program for calculating attenuation coefficients of fast neutrons and gamma-rays. Ann. Nucl. Energy 38(1), 128–132 (2011). https://doi.org/10.1016/j.anucene.2010.08.003
H.C. Manjunatha, B. Rudraswamy, Study of effective atomic number and electron density for tissues from human organs in the energy range of 1 keV–100 GeV. Health Phys. 104(2), 158–162 (2013). https://doi.org/10.1097/HP.0b013e31827132e3
M. Kurudirek, Effective atomic numbers, water and tissue equivalence properties of human tissues, tissue equivalents and dosimetric materials for total electron interaction in the energy region 10 keV–1 GeV. Appl. Radiat. Isot. 94, 1–7 (2014). https://doi.org/10.1016/j.apradiso.2014.07.002
V.R. Shivaramu, Effective atomic number for photon energy absorption and photon attenuation of tissues from human organs. Med. Dosim. 27, 1–9 (2002). https://doi.org/10.1016/S0958-3947(01)00078-4
V.P. Singh, N.M. Badiger, N. Kucuk, Assessment of methods for estimation of effective atomic numbers of common human organ and tissue substitutes: waxes, plastics and polymers. Radioprotection 49(2), 115–121 (2014). https://doi.org/10.1051/radiopro/2013090
M. Kurudirek, T. Onaran, Calculation of effective atomic number and electron density of essential biomolecules for electron, proton, alpha particle and multi-energetic photon interactions. Radiat. Phys. Chem. 112, 125–138 (2015). https://doi.org/10.1016/j.radphyschem.2015.03.034
D. Salehi, D. Sardari, M.S. Jozani, Investigation of some radiation shielding parameters in soft tissue. J. Radiat. Res. Appl. Sci. 8(3), 439–445 (2015). https://doi.org/10.1016/j.jrras.2015.03.004
M. Kurudirek, Effective atomic number of soft tissue, water and air for interaction of various hadrons, leptons and isotopes of hydrogen. Int. J. Radiat. Biol. 93(12), 1299–1305 (2017). https://doi.org/10.1080/09553002.2018.1388546
D.K. Gaikwad, M.I. Sayyed, S.S. Obaid et al., Gamma ray shielding properties of TeO2–ZnF2–As2O3–Sm2O3 glasses. J. Alloys Compd. 765, 451–458 (2018). https://doi.org/10.1016/j.jallcom.2018.06.240
J. Apostolakis, A. Bagulya, S. Elles et al., Validation and verification of Geant4 standard electromagnetic physics. J. Phys. Conf. Ser. 219, 032044 (2010). https://doi.org/10.1088/1742-6596/219/3/032044
B.T. Tonguc, H. Arslan, M.S. Al-Buriahi, Studies on mass attenuation coefficients, effective atomic numbers and electron densities for some biomolecules. Radiat. Phys. Chem. 153, 86–91 (2018). https://doi.org/10.1016/j.radphyschem.2018.08.025
D.F. Jackson, H.J. David, X-ray attenuation coefficients of elements and mixtures. Phys. Rep. 70, 169–233 (1981). https://doi.org/10.1016/0370-1573(81)90014-4
S.R. Manohara, S.M. Hanagodimath, L. Gerward, Studies on effective atomic number, electron density and kerma for some fatty acids and carbohydrates. Phys. Med. Biol. 53(20), N377–86 (2008). https://doi.org/10.1088/0031-9155/53/20/N01
D. Yilmaz, Y. Şahin, L. Demir, Studies on mass attenuation coefficient, mass energy absorption coefficient, and kerma for Fe alloys at photon energies of 17.44 to 51.70 keV. Turk. J. Phys. 39(1), 81–90 (2015). https://doi.org/10.3906/fiz-1408-4
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The author would like to thank Mohammed Al-Buriahi for his contributions in theoretical calculations.
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Arslan, H. Photon attenuation parameters for some tissues from Geant4 simulation, theoretical calculations and experimental data: a comparative study. NUCL SCI TECH 30, 96 (2019). https://doi.org/10.1007/s41365-019-0617-z
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DOI: https://doi.org/10.1007/s41365-019-0617-z