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[]
["Tungsten Anode Spectral Model using Interpolating Cubic Splines (TASMICS)"]
[]
["Version 1.0 "]
[]
["Introduction"]
[null,"     This spreadsheet is a tool used to produce tungsten anode x-ray spectra with 1 keV energy resolution from 20 kV to 640 kV. The database of x-ray spectra are based on cubic spline interpolation of tungsten anode x-ray spectra simulated in MCNPX 2.6.0. The exact methods use to produce these spectra can be found in the manuscript published in Medical Phyiscs [1]."]
[]
[null,"Simulation Geometry and Composition"]
[null,"     The anode is composed of tungsten (95% by weight) and rhenium (5% by weight) at an angle of 12 degrees and contains only 0.8 mm beryllium filtration. The resulting TASMICS spectra are the mean fluence within a 180 mm x 180 scoring plane (i.e. approximate cone of radiation with a half-angle of 5.7 degrees) located 1000 mm from the anode focal spot and centered about the central ray. "]
[]
[]
["Worksheets"]
[null,"Introduction","Provides an introduction to the spreadsheet and directions for use"]
[null,"TASMICS","Simple-interface which contains cells for user defined inputs"]
[null,"Raw data","Contains the raw TASMICS data for 621 unfiltered x-ray spectra from 20 kV to 640 kV and normalized to an air kerma of 1 mGy"]
[null,"Attenuation Coefficients","Contains linear attenuation coefficients, obtained from NIST XCOM: Photon Cross Section Database, for aluminum, copper, molybdenum, rhodium, palladium, silver, PMMA and tissue (ICRU four-component) and density used in analysis [2]"]
[null,"Air Kerma","Contains Johns Conversion factor relating photon fluence to air kerma [3]"]
[null,"HVL data (mm Al)","Contains kerma attenuation data and associated polynomial fitting used to determine the first half value layer in aluminum of a TASMICS spectrum defined by user in the \"TASMICS\" worksheet"]
[null,"HVL data (mm Cu)","Contains kerma attenuation data and associated polynomial fitting used to determine the first half value layer in copper of a TASMICS spectrum defined by user in the \"TASMICS\" worksheet"]
[null,"HVL data (mm Cu)","Contains data used to calculate effective energy of a TASMICS spectrum defined by user in the \"TASMICS\" worksheet"]
["Instructions for using TASMICS_software_official.xls"]
["The \"TASMICS\" worksheet contains user defined cells  (highlighted in yellow):"]
[null,"Cell Location","Input Parameter","Description"]
[null,"C2","Tube Potential (20 kV - 640 kV)","Select any tube potential in 1 kV intervals from 20 kV to 640 kV"]
[null,"C3-10","Filter Thickness (mm)","Select filtration thickness(es) for a variety of filtration materials. The linear attenuation coefficients used for filtration can be found in the \"Attenuation Coefficients\" worksheet"]
[null,"C11","Specific Air Kerma","Select an air kerma value (mGy) to match TASMICS spectrum to absolute fluence values as measured for a given x-ray tube system."]
["Output Parameters"]
[null,"Cell Location","Output Parameter","Description"]
[null,"B16-654","Photon Fluence                                       (photons/mm2)","Output fluence values per 1 keV energy bin, normalized to the air kerma specified in cell C11"]
[null,"C14","Total fluence at specified air kerma    (photons/mm2)","Contains total fluence normalized to specified air kerma (cell C11)"]
[null,"C15","HVL (mm Al)","half-value layer in aluminum"]
[null,"C16","HVL (mm Cu)","half-value layer in copper"]
[null,"C17","Mean Energy (keV)","energy weighted average of photon spectrum"]
[null,"C18","Effective Energy (keV)","monoenergetic energy that exhibits identical penetrability as polyenergetic spectrum"]
["References"]
[null,"[1]","A.M. Hernandez, J.M. Boone, \"Tungsten Anode Spectral Model using Interpolating Cubic Splines; unfiltered x-ray spectra from 20 kV to 640 kV\" Med Phys. (accepted for publication)"]
[null,"[2]","J.H. Hubbell, S.M. Seltzer, \"1995 Tables of X-ray Mass Attenuation Coefficients and Mass Energy-Absorption Coefficients from 1 keV to 20 MeV for Elements Z=1 to 92 and 48 Additional Substances of Dosimetric Interest,\" NIST."]
[null,null," http://www.nist.gov/pml/data/xcom/"]
[null,"[3]","H.E. Johns, J.R. Cunningham, The physics of radiology, 3d ed. (Thomas, Springfield, Il., 1974)"]

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["INPUTS:",null,null,null,"CELLS FOR USER INPUT"]
["Tube Potential (20 kV - 640 kV):",null,120]
["Filter Thickness (mm):","Al",1.268]
[null,"Cu",0]
[null,"Mo",0]
[null,"Rh",0]
[null,"Pd",0]
[null,"Ag",0]
[null,"PMMA",0]
[null,"*soft tissue",0,"* ICRU Four Component"]
["Specific Air Kerma (mGy):",null,1]
[" "]
["OUTPUTS:",{"$nulls":7},"total (mGy)",{"$f":"SUM(J15:J653)","v":0.13805388376884811}]
["Total Fluence (photons/mm2):",null,{"$f":"SUM(C21:C659)","v":19998356.85881554},{"$nulls":4},"Mean Energy","Relative Fluence (photons/mm2)","mGy"]
["HVL (mm Al):",null,{"$f":"IF(' HVL data (mm Al)'!B35<0.6,IF(' HVL data (mm Al)'!B5<0.99,' HVL data (mm Al)'!B1,' HVL data (mm Al)'!B4),IF(' HVL data (mm Al)'!F55<0.6,' HVL data (mm Al)'!F4,IF(' HVL data (mm Al)'!J85<0.5,' HVL data (mm Al)'!J4,' HVL data (mm Al)'!B1)))","v":2.8826157770654088},{"$nulls":4},{"$f":"B21*C21","v":3.0997424152111526E-60},{"$f":"INDEX('Raw data'!B2:WX640, ,MATCH(C2,'Raw data'!B1:WX1,0))*EXP(-'Attenuation Coefficients'!B3:B641*TASMICS!$C$3)*EXP(-'Attenuation Coefficients'!C3:C641*$C$4)*EXP(-'Attenuation Coefficients'!D3:D641*$C$5)*EXP(-'Attenuation Coefficients'!E3:E641*$C$6)*EXP(-'Attenuation Coefficients'!F3:F641*$C$7)*EXP(-'Attenuation Coefficients'!G3:G641*$C$8)*EXP(-'Attenuation Coefficients'!H3:H641*$C$9)*EXP(-'Attenuation Coefficients'!I3:I641*$C$10)","v":2.8528765273528598E-61},{"$f":"I15:I653/'Air kerma'!A2:A640","v":9.7754232067361239E-66},1.5,{"$f":"IF(C21=0,NA(),C21)","v":2.0664949434741017E-60},{"$f":"IF(I15=0,NA(),I15)","v":2.8528765273528598E-61}]
["HVL (mm Cu):",null,{"$f":"IF(' HVL data (mm Cu)'!B45<0.5,IF(' HVL data (mm Cu)'!B5<0.99,' HVL data (mm Cu)'!B1,' HVL data (mm Cu)'!B4),IF(' HVL data (mm Cu)'!F45<0.5,' HVL data (mm Cu)'!F4,IF(' HVL data (mm Cu)'!I100<0.5,' HVL data (mm Cu)'!I4,' HVL data (mm Cu)'!B1)))","v":-2.9347875603229212E-2},{"$nulls":4},{"$f":"B22*C22","v":7.2944327187407271E-188},4.0280990668508602E-189,4.9583415066476855E-194,{"$f":"IF(C22=0,NA(),B22)","v":2.5},2.9177730874962908E-188,4.0280990668508602E-189]
["Average Energy (keV):",null,{"$f":"SUM(H15:H653)/SUM(C21:C659)","v":51.250475508705982},{"$nulls":4},1.3376271673338108E-72,5.2761321567187273E-74,3.3035692753623312E-79,3.5,3.8217919066680309E-73,5.2761321567187273E-74]
["Effective Energy (keV):",null,{"$f":"'Effective Energy'!N2","v":32.892481605003425},{"$nulls":4},1.3565273841390108E-33,4.161641640426368E-35,1.5702704939115763E-40,4.5,3.0145052980866907E-34,4.161641640426368E-35]
[{"$nulls":7},1.4268239104961153E-16,3.5814287690589822E-18,9.0140789274479492E-24,5.5,2.5942252918111185E-17,3.5814287690589822E-18]
[null,"Mid-Bin Energy (keV)"," Fluence (photons/mm2)",{"$nulls":4},5.1894732330386911E-8,1.1021952839007261E-9,1.972573705885758E-15,6.5,7.9838049739056789E-9,1.1021952839007261E-9]
[null,1.5,{"$f":"I15/$J$13*$C$11","v":2.0664949434741017E-60},{"$nulls":4},3.3921506152953845E-3,6.2439942236055417E-5,8.3511027018136538E-11,7.5,4.522867487060513E-4,6.2439942236055417E-5]
[null,2.5,2.9177730874962908E-188,{"$nulls":4},5.0285163287113592,8.1671318679255631E-2,8.4512633414656379E-8,8.5,0.59159015631898348,8.1671318679255631E-2]
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{"sheet":" HVL data (mm Al)","index":5,"n_rows":645,"n_cols":124,"rows_kept":645,"cut":false,"hidden":false,"merged":[[5,0,5,1],[5,4,5,5],[5,8,5,9],[24,7,25,7],[24,11,27,11],[0,27,0,36],[0,64,0,123],[0,16,0,25]]}
["Error Message:","beyond fitting limits of software",{"$nulls":14},"1st RANGE",{"$nulls":10},"2nd RANGE",{"$nulls":36},"3rd/4th RANGE"]
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["Error Message:","beyond fitting limits of software"]
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