radiation detection and measurement · 2014-03-09 · raphex question radiation detect &...
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Radiation Detection andMeasurement
Radiation Detect & Measure, summer 2005 ( RSM)
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Types of radiation relevant toNuclear Medicine
Particle Symbol Mass Charge
Electron e-, β - 511 keV/c2 -1
Positron e+, β+ 511 keV/c2 +1
Alpha α 3700 MeV/c2 +2
Photon γ variable energy none
Radiation Detect & Measure, summer 2005 ( RSM)
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Charged particle ranges(α particles)
Loses energy in a more or less continuous slowing downprocess as it travels through matter.
The distance it travels (range) depend only upon its initialenergy and its average energy loss rate in the medium.
The range for an α particle emitted in tissue is on the orderof µm’s.
Radiation Detect & Measure, summer 2005 ( RSM)
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Charged particle ranges(β particles)
Electrons or β particles have ranges that are quitevariable from one electron to the next, even for electronsof exactly the same energy in a specific absorbingmaterial.
This is because of the different types of scattering eventsthe β particle can encounter (i.e., scattering events,bremsstrahlung-producing collisions, etc.).
The β range is often given as the maximum distance themost energetic β can travel in the medium.
The range for β particles emitted in tissue is on the orderof mm’s.
Radiation Detect & Measure, summer 2005 ( RSM)
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Interactions of high energy photons withmatter
Photoelectric effectphoton is absorbed
Compton scatteringpart of the energy of the photon is absorbedscattered photon continues on with lower energy
Pair productionpositron-electron pair is createdrequires photons above 1.022 MeV
Coherent (Rayleigh) scatteringphoton deflected with very little energy lossonly significant at low photon energies (<50 keV)
Radiation Detect & Measure, summer 2005 ( RSM)
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Summary of interaction of chargedparticles and photons with matter
Charged particles have a very short range in tissue~ mm for beta particles~ µm for alpha particles
Alphas have a predictable, continuously slowing pathBetas have a more random pathPhotons have a longer range
interact very infrequently, depositing much or all oftheir energy in each interaction: range ~cm.Compton scatter is the dominant process in tissue equivalent materials for the energy range ofphotons for Nuclear Medicine imaging
Radiation Detect & Measure, summer 2005 ( RSM)
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Basic radiation detector
Radiation Detect & Measure, summer 2005 ( RSM)
• Pulse• Current• Stored
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Radiation detectors used inNuclear Medicine
Radiation Detect & Measure, summer 2005 ( RSM)
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Types of Radiation detectors• Counters
– Number of interactions– Pulse mode
• Spectrometers– Number and energy of interactions– Pulse mode
• Dosimeters– Net amount of energy deposited– Current mode
Radiation Detect & Measure, summer 2005 ( RSM)
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Pulse mode versus current mode
• Pulse mode– Detect individual photons– Required for most imaging applications
• Current mode– Measures average rates of photon flux– Avoids dead-time losses
Radiation Detect & Measure, summer 2005 ( RSM)
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Interaction Rate and Dead-time
Radiation Detect & Measure, summer 2005 ( RSM)
paralyzable non-paralyzable
From: The Essential Physics of Medical Imaging (Bushberg, et al)
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Types of radiation detectors
• Gas-filled detectors
• Solid-state (semiconductor) detectors
• Organic liquid scintillators
• Inorganic scintillators
Radiation Detect & Measure, summer 2005 ( RSM)
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Gas-filled Detectors
Ionizing event in airrequires about 34 eV
From: Physics in Nuclear Medicine (Sorenson and Phelps) Radiation Detect & Measure, summer 2005 ( RSM)
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Gas-filled detectors(operates in three ranges)
• Geiger-Muller counters
• Proportional counters
• Ionization chambers– Radiation survey meters– Dosimeters (dose calibrator)
Radiation Detect & Measure, summer 2005 ( RSM)From: Physics in Nuclear Medicine (Sorenson and Phelps)
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Ionization Chambers
From: Physics in Nuclear Medicine (Sorenson and Phelps) Radiation Detect & Measure, summer 2005 ( RSM)
ATOMLAB 200 Dose Calibrator
No amplificationNo dead-timeSignal = liberated chargeSettings for different isotopesCalibrations
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Geiger-Muller counters
From: Physics in Nuclear Medicine (Sorenson and Phelps) Radiation Detect & Measure, summer 2005 ( RSM)
No energy infoLong dead-timeThin window probe
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Semiconductor detectors
• Works on same principle as gas-filled detectors(i.e., production of electron-hole pairs insemiconductor material)
• Only ~3 eV required for ionization (~34 eV, air)• Usually needs to be cooled (thermal noise)• Usually requires very high purity materials or
introduction of “compensating” impurities thatdonate electrons to fill electron traps caused byother impurities
Radiation Detect & Measure, summer 2005 ( RSM)
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Semiconductor detectors
• CdZnTe detectors - can operate atroom temperature
Radiation Detect & Measure, summer 2005 ( RSM)
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Organic liquid scintillators(liquid scintillator cocktail)
• Organic solvent - must dissolve scintillator material andradioactive sample
• Primary scintillator (p-terphenyl and PPO)• Secondary solute (wave-shifter)• Additives (e.g., solubilizers)• Effective for measuring beta particles (e.g., H-3, C-14).
Radiation Detect & Measure, summer 2005 ( RSM)
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Inorganic scintillators(physical characteristics)
Absorption of radiation lifts electrons from valence toconduction band
Impurities (activators) create energy levels within theband gap permitting visible light scintillations
Radiation Detect & Measure, summer 2005 ( RSM)
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Inorganic scintillators(physical characteristics)
NaI(Tl) BGO LSO(Ce) GSO(Ce)
Density (gm/cm3) 3.67 7.13 7.4 6.71
EffectiveAtomic Number 51 75 66 59
AttenuationCoefficient(@ 511 keV, cm-1 ) 0.34 0.955 0.833 0.674
Light Output(photons/Mev) 40K ~8K ~30K ~20K
Decay Time 230 ns 300 ns 12 ns 60 ns40 ns
Wavelength 410 nm 480 nm 420 nm 430 nm
Index of Refraction 1.85 2.15 1.82 1.85
Hygroscopy yes no no no
Rugged no yes yes no
Radiation Detect & Measure, summer 2005 ( RSM)
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Sample Spectroscopy System
Radiation Detect & Measure, summer 2005 ( RSM)From: Physics in Nuclear Medicine (Sorenson and Phelps)
From: The Essential Physics of Medical Imaging (Bushberg, et al)
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Photomultiplier tube
Radiation Detectors, Summer 2005 ( RSM)From: Physics in Nuclear Medicine (Sorenson and Phelps)
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Energy Resolution
Radiation Detect & Measure, summer 2005 ( RSM)From: Physics in Nuclear Medicine (Sorenson and Phelps)
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Interactions of Photons witha Spectrometer
Radiation Detect & Measure, summer 2005 ( RSM)
A. PhotoelectricB. Compton + PhotoelectricC. ComptonD. Photoelectric with
characteristic x-ray escapeE. Compton scattered photon
from lead shieldF. Characteristic x-ray from lead
shield
From: The Essential Physics of Medical Imaging (Bushberg, et al)
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Sample Spectrum (Cs-137)
Radiation Detect & Measure, summer 2005 ( RSM)
A. PhotopeakB. Compton continuumC. Compton edge
D. Backscatter peakE. Barium x-ray photopeakF. Lead x-rays
Detection efficiency(32 keV vs. 662 keV)
From: The Essential Physics of Medical Imaging (Bushberg, et al)
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Sample Spectrum (Tc-99m)
Radiation Detect & Measure, summer 2005 ( RSM)
A. PhotopeakB. Photoelectric with
iodine K-shell x-rayescape
C. Absorption of lead x-rays from shield
Note absence ofCompton continuum
Why?
From: The Essential Physics of Medical Imaging (Bushberg, et al)
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Sample Spectrum (In-111)
Radiation Detect & Measure, summer 2005 ( RSM)
source detector
From: Physics in Nuclear Medicine (Sorenson and Phelps)
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Effects of Pulse Pileup
Radiation Detect & Measure, summer 2005 ( RSM)From: Physics in Nuclear Medicine (Sorenson and Phelps)
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Radiation Detect & Measure, summer 2005 ( RSM)
Calibrations• Energy calibration
– Adjust energy windows around a known photopeak– Often done with Cs-137 and Co-57
• Dose calibration (dose calibrator)– Measure activity of know reference samples (e.g.,
Cs-137 and Co-57)– Linearity measured by repeated measurements of a
decaying source (e.g., Tc-99m)
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What piece of equipment would you used tomeasure the activity of a pure beta emitter?
Radiation Detect & Measure, summer 2005 ( RSM)From: The Essential Physics of Medical Imaging (Bushberg, et al)
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Raphex Question
Radiation Detect & Measure, summer 2005 ( RSM)
D58. The window setting used for Tc-99m is set with the center at 140 keV with a
width of +/-14 keV i.e., 20%. The reason for this is:
A. The energy spread is a consequence of the statistical broadening when
amplifying the initial energy deposition event in the NaI(Tl) crystal.
B. The 140 keV gamma ray emission of Tc-99m is not truly monoenergetic but
the center of a spectrum of emissions.
C. The higher and lower Gaussian tails are a consequence of compton scattering
within the patient.
D. The result of additional scattered photons generated in the collimator.
E. A consequence of patient motion during scanning.
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Raphex Answer
Radiation Detect & Measure, summer 2005 ( RSM)
D58. The window setting used for Tc-99m is set with the center at 140 keV with a
width of +/-14 keV i.e., 20%. The reason for this is:
A . Photons, which impinge upon the crystal, lose energy by Compton
scattering and the photoelectric effect. Both processes convert the gamma
ray energy into electron energy. On average approximately one electron
hole pair is produced per 30 eV of g amma ray e nergy deposited in the
crystal. These electrons result in the release of visible ligh t when trapped
in the crystal. These light quanta are collected and amplified by
photomultiplier tubes. The statistical fluctuation in the number of light
quanta collected and their amplification is what causes the spread in the
detected energy peak, even when most of the Tc-99m photons deposit
exactly 140 keV in the NaI(Tl) crystal.
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Radiation Detect & Measure, summer 2005 ( RSM)
Counting Statistics
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Radiation Detect & Measure, summer 2005 ( RSM)
Sources of Error
• Systematic errors– Consistently get the same error
• Random errors– Radiation emission and detection are
random processes• Blunder
– operator error
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Radiation Detect & Measure, summer 2005 ( RSM)
Measures of Central Tendency• Mean
– Average value• Median
– Middlemost measurement (or value)– Less affected by outliers
Example: 8, 14, 5, 9, 12Mean = 9.6Median = 9
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Radiation Detect & Measure, summer 2005 ( RSM)
Measures of Variability• Variance
– Measure of variability:
• Standard deviation– Square root of variance
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Radiation Detect & Measure, summer 2005 ( RSM)
Poisson PDF
• Radioactive decay and detection arePoisson random processes
• Variance– Variance = mean = pN = x
• Standard deviation– Standard deviation = √ variance = √ pN
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Radiation Detect & Measure, summer 2005 ( RSM)
Confidence Intervals
99.7±3.0σ99.0±2.58σ95.0±1.96σ90.0±1.64σ68.3±1.0σ50.0±0.674σ
Probabilitythat mean iswithin interval(%)
Interval aboutmeasurement
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Radiation Detect & Measure, summer 2005 ( RSM)
Raphex Question
D70. How many counts must be collected in an instrument with zero background
to obtain an error limit of 1% with a confidence interval of 95%?
A. 1000
B. 3162
C. 10,000
D. 40,000
E. 100,000
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Radiation Detect & Measure, summer 2005 ( RSM)
Raphex Answer
D70. How many counts must be collected in an instrument with zero background
to obtain an error limit of 1% with a confidence interval of 95%?
D. A 95% confidence interval means the counts must fall within two standard
deviations (SD) of the mean (N). Error limit = 1% = 2 SD/N, but SD = N1/2. Thus 0.01 = 2(N1/2)/N = 2/ N1/2. Where [0.01]2 = 4/N and N = 40,000.
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Radiation Detect & Measure, summer 2005 ( RSM)
Propagation of Error
√ σ21 + σ2
2x1 - x2Subtraction of two numbers containingrandom errors
√ σ21 + σ2
2x1 + x2Addition of two numbers containingrandom errors
σ/cx/cDivision of a number with random errorby a number without random error
cσcxMultiplication of a number with randomerror by a number without random error
StandardDeviation
OperationDescription
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Radiation Detect & Measure, summer 2005 ( RSM)
Raphex question
G74. A radioactive sample is counted for 1 minute and produces 900 counts.
The background is counted for 10 minutes and produces 100 counts. The net
count rate and net standard deviation are about ____ and ____ counts.
A. 800, 28
B. 800, 30
C. 890, 28
D. 890, 30
E. 899, 30
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Radiation Detect & Measure, summer 2005 ( RSM)
Raphex answerG74. A radioactive sample is counted for 1 minute and produces 900 c ounts.
The background is cou nted for 10 minutes and p roduces 100 c ounts. The net
count rate and net standard deviation are about ____ and ____ counts/min.
D . The net count rate is:
[ ( Ns/ts) - (Nb/tb)] = [(900/1) - (100/10)] = 890.
The net standard deviation, is:
[ (Ns/t2s) - (Nb/t
2b)]
1/2 = [(900) + (1)] = 30.
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Radiation Detect & Measure, summer 2005 ( RSM)
Extra StuffBinomial process
• Trial can have only two outcomes
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Radiation Detect & Measure, summer 2005 ( RSM)
Binomial probability density function(PDF)
• N is total number of trials• p is probability of success• x is number of successes
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Radiation Detect & Measure, summer 2005 ( RSM)
Binomial probability density functionmean and variance
• N is total number of trials• p is probability of success• x is mean, σ is standard deviation
If p is very small then:
Same as Poisson random process.