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Файл:Ординатура / Хирургия / Библиотека им академика М.И. Перельмана / Книга_5545_Библиотеки_им_академика_М_И_Перельмана.pdf
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- •Preface
- •Contents
- •1: Structure of Matter
- •2: Radioactive Decay
- •2.1 Spontaneous Fission
- •1.1.1 Radiation
- •1.2 The Atom
- •1.2.3 Nuclear Binding Energy
- •1.3 Nuclear Nomenclature
- •1.5 Questions
- •Suggested Readings
- •2.2 Isomeric Transition
- •2.2.1 Gamma (γ)-Ray Emission
- •2.2.2 Internal Conversion
- •2.2.2.1 Problem 2.1
- •2.2.2.2 Answer
- •2.3 Alpha (α)-Decay
- •2.4 Beta (β−)-Decay
- •2.5 Positron (β+)-Decay
- •2.6 Electron Capture
- •2.7 Questions
- •Suggested Readings
- •3.1 Radioactive Decay Equation
- •3.1.1 General Equation
- •3.1.2 Half-Life
- •3.1.3 Mean Life
- •3.1.4 Effective Half-Life
- •3.2 Units of Radioactivity
- •3.3 Specific Activity
- •3.4 Calculation
- •3.5 Successive Decay Equations
- •3.5.1 General Equation
- •3.5.2 Transient Equilibrium
- •3.5.3 Secular Equilibrium
- •3.6 Questions
- •Suggested Readings
- •4.5 Poisson Distribution
- •4.6 Gaussian Distribution
- •4.7 Chi-Square Test
- •4.8 Minimum Detectable Activity
- •4.10 Questions
- •Suggested Readings
- •5.1 Cyclotron-Produced Radionuclides
- •5.2 Reactor-Produced Radionuclides
- •5.2.1 Fission or (n, f) Reaction
- •5.2.2 Neutron Capture or (n, γ) Reaction
- •5.6 Radionuclide Generators
- •5.8 Questions
- •Suggested Readings
- •6.1.1 Specific Ionization
- •6.1.2 Linear Energy Transfer
- •6.1.3 Range
- •6.1.4 Bremsstrahlung
- •6.1.5 Positron Annihilation
- •6.2.1.1 Photoelectric Effect
- •6.2.1.2 Compton Scattering
- •6.2.1.3 Pair Production
- •6.2.1.4 Raleigh Scattering
- •6.2.1.5 Photodisintegration
- •6.3.2 Half-Value Layer
- •6.5 Questions
- •Suggested Readings
- •7: Gas-Filled Detector
- •7.1 Principles of Gas-Filled Detector
- •7.2 Ionization Chamber
- •7.2.1 Ion Chamber Survey Meter
- •7.2.2 Dose Calibrator
- •7.2.2.1 Constancy
- •7.2.2.2 Accuracy
- •7.2.2.3 Linearity
- •7.2.2.4 Geometry
- •7.2.3 Pocket Dosimeter
- •7.3 Proportional Counter
- •7.4 Geiger–Müller Counter
- •7.5 Questions
- •Suggested Readings
- •8.1 Scintillation Counter
- •8.4.3 Characteristic X-Ray Peak
- •8.4.4 Backscatter Peak
- •8.4.5 Iodine Escape Peak
- •8.2 Solid Scintillation Detector
- •8.2.1 NaI (Tl) Detector
- •8.2.2 Bismuth Germanate Detector
- •8.2.3 Barium Fluoride Detector
- •8.2.4 Lutetium Oxyorthosilicate Detector
- •8.2.5 Gadolinium Oxyorthosilicate Detector
- •8.2.6 Yttrium Oxyorthosilicate Detector
- •8.2.7 Yttrium Aluminum Perovskite Detector
- •8.2.8 Lutetium Yttrium Oxyorthosilicate Detector
- •8.2.9 Lanthanum Bromide Detector
- •8.3 Solid-State Detector
- •8.3.2 Cadmium–Zinc–Tellurium Detector
- •8.3.3 Cesium Iodide (CsI(Tl)) Detector
- •8.3.4 Solid Scintillation Counter
- •8.3.4.1 NaI(Tl) Detector
- •8.3.4.2 Photomultiplier Tube
- •8.3.4.3 Preamplifier
- •8.3.4.4 Linear Amplifier
- •8.3.4.5 Pulse-Height Analyzer
- •8.3.4.6 Display or Storage
- •8.4 Gamma-Ray Spectrometry
- •8.4.1 Photopeak
- •8.4.6 Positron Annihilation Peak
- •8.4.7 Coincidence Peak
- •8.5 Liquid Scintillation Counter
- •8.5.1 Quenching
- •8.6.1 Energy Resolution
- •8.6.2 Detection Efficiency
- •8.6.2.1 Intrinsic Efficiency
- •8.6.2.2 Photopeak Efficiency or Photofraction
- •8.6.2.3 Geometric Efficiency
- •8.6.3 Dead Time
- •8.7 Gamma Well Counter
- •8.8 Thyroid Probe
- •8.8.1 Thyroid Uptake Measurement
- •8.9 Questions
- •Suggested Readings
- •9: Gamma Camera
- •9.1 Gamma Camera
- •9.1.2 Detector
- •9.1.3 Collimator
- •9.1.4 Photomultiplier Tube
- •9.1.5 X-, Y-Positioning Circuit
- •9.1.6 Pulse-Height Analyzer
- •9.2 Digital Camera
- •9.2.1 Solid State Digital Camera
- •9.3 Questions
- •Suggested Readings
- •10.1.1 Spatial Resolution
- •10.1.1.1 Intrinsic Resolution
- •10.1.1.2 Collimator Resolution
- •10.1.1.3 Scatter Resolution
- •10.1.2.1 Bar Phantom
- •10.1.2.2 Line-Spread Function
- •10.1.2.3 Modulation Transfer Function
- •10.1.3 Sensitivity
- •10.1.3.1 Collimator Efficiency
- •10.1.4 Uniformity
- •10.1.5 Pulse-Height Variation
- •10.1.6 Nonlinearity
- •10.1.7 Edge Packing
- •10.2 Gamma Camera Tuning
- •10.4 Contrast
- •10.4.1 Count Density
- •10.4.2 Image Noise
- •10.4.4 High Count Rate
- •10.4.6 Patient Motion
- •10.5.1 Daily Checks
- •10.5.1.2 Uniformity
- •10.5.2 Weekly Checks
- •10.5.3 Monthly Checks
- •10.5.3.1 High-Count Uniformity Calibration
- •10.5.3.2 Collimator Integrity
- •10.5.4 Annual, Semiannual, or As-Needed Checks
- •10.6 Questions
- •References and Suggested Readings
- •11.1.1 Central Processing Unit
- •11.1.2 Computer Memory
- •11.1.3 External Storage Device
- •11.1.4 Input/Output Device
- •11.1.7 Digital-to-Analog Conversion
- •11.1.8 Digital Image
- •11.2.1 Digital Data Acquisition
- •11.2.2 Static Study
- •11.2.3 Dynamic Study
- •11.2.4 Gated Study
- •11.2.7 Display
- •11.3.1 PACS
- •11.4 Questions
- •Suggested Readings
- •12: Single Photon Emission Computed Tomography
- •12.1 Tomographic Imaging
- •12.2 Single Photon Emission Computed Tomography
- •12.2.1 Data Acquisition
- •12.2.2 Image Reconstruction
- •12.2.2.1 Simple Backprojection
- •12.2.2.2 Filtered Backprojection
- •12.2.2.3 The Convolution Method
- •12.2.2.4 The Fourier Method
- •12.2.2.6 Iterative Reconstruction
- •12.3 SPECT/CT Scanner
- •12.4 Factors Affecting SPECT
- •12.4.1 Photon Attenuation
- •12.4.2 Attenuation Correction Methods
- •12.5 Partial-Volume Effect
- •12.5.2 Sampling
- •12.5.3 Scattering
- •12.6.1 Spatial Resolution
- •12.6.2 Sensitivity
- •12.6.3 Other Parameters
- •12.7.1 Daily Tests
- •12.7.2 Weekly Tests
- •12.7.2.1 Spatial Resolution
- •12.9 Questions
- •References and Suggested Readings
- •13: Positron Emission Tomography
- •13.1 Introduction
- •13.2 PET Radiopharmaceuticals
- •13.3.2 Block Detector
- •13.5 Coincidence Timing Window
- •13.6 PET/CT Scanner
- •13.7 PET/MR Scanner
- •13.7.2 MR Scanner
- •13.7.3 Commercial PET/MR Scanner
- •13.8 Mobile PET or PET/CT Scanner
- •13.9 Micro-PET Scanner
- •13.11 Data Acquisition
- •13.12 Image Reconstruction
- •13.13 Factors Affecting PET
- •13.13.1 Normalization
- •13.13.2 Photon Attenuation Correction
- •13.13.4 Random Coincidences
- •13.13.5 Scatter Coincidences
- •13.13.6 Dead Time
- •13.13.7 Radial Elongation
- •13.14.1 Spatial Resolution
- •13.14.2 Sensitivity
- •13.14.2.1 Noise Equivalent Count Rate
- •13.15.1 Daily Tests
- •13.15.1.1 Sinogram Check
- •13.15.2 Weekly Tests
- •13.15.2.1 Normalization
- •13.18 Questions
- •References and Suggested Reading
- •14.1 Background
- •14.5 Artificial Neural Network
- •14.7 Machine Learning
- •14.7.1 Decision Tree
- •14.7.2 Random Forest
- •14.7.3 Support Vector Machine
- •14.7.4 Computer Vision
- •14.8 Deep Learning
- •14.8.1 Convolutional Network
- •14.8.2 Recurrent Neural Network
- •14.8.3 Generative Adversarial Network
- •14.8.4 Transfer Learning
- •14.9 Radiomics
- •14.10 Natural Language Processing
- •14.11 Large Language Model
- •14.12 Generative Artificial Intelligence
- •14.13.1 Prompt
- •14.13.2 Token
- •14.13.3 Hallucination
- •14.13.4 Deepfake
- •14.13.5 Overfitting
- •14.15 Chatbot
- •14.18 Legal Implication
- •14.20 Questions
- •References
- •15.1 Introduction
- •15.2.1 Scheduling
- •15.2.2 Image Acquisition
- •15.2.3 Image Processing
- •15.2.4 Interpretation
- •15.2.5 Reporting
- •15.3.1 Oncology
- •15.3.2 Cardiovascular Disease
- •15.3.3 Bone Scintigraphy
- •15.3.4 Thyroid Imaging
- •15.5 Drug Development
- •15.6 Questions
- •References and Suggested Reading
- •16: Internal Radiation Dosimetry
- •16.1 Radiation Unit
- •16.1.1 Roentgen
- •16.1.2 Rad
- •16.1.3 Gray
- •16.1.4 Rem
- •16.1.5 Radiation Weighting Factor
- •16.1.6 Quality Factor
- •16.1.7 Sievert
- •16.2 Dose Calculation
- •16.2.1 Radiation Dose Rate
- •16.2.2 Cumulative Radiation Dose
- •16.2.3 Factors Affecting Ã
- •16.2.4 The S Values
- •16.4 Pediatric Dosage
- •16.5 Questions
- •References and Suggested Readings
- •17: Radiation Biology
- •17.1 The Cell
- •17.2.1 DNA Molecule
- •17.2.2 Chromosome
- •17.5 Cell Survival Curves
- •17.6 Factors Affecting Radiosensitivity
- •17.6.1 Dose Rate
- •17.6.2 Linear Energy Transfer
- •17.6.4 Chemicals
- •17.7 Radiosensitizer
- •17.7.1 Oxygen
- •17.7.2 Pyrimidine
- •17.7.3 Others
- •17.8 Radioprotector
- •17.9 Apoptosis
- •17.13.1 Hematopoietic Syndrome
- •17.13.2 Gastrointestinal Syndrome
- •17.13.3 Cerebrovascular Syndrome
- •17.14.1 Somatic Effects
- •17.14.1.1 Carcinogenesis
- •17.14.1.3 Dose–Response Relationship
- •17.14.1.5 Leukemia
- •17.14.1.6 Breast Cancer
- •17.14.1.7 Other Cancers
- •17.14.1.10 Nonspecific Life-Shortening
- •17.14.1.11 Cataractogenesis
- •17.14.2 Genetic Effects
- •17.14.2.1 Spontaneous Mutation
- •17.14.2.2 Doubling Dose
- •17.14.2.3 Genetically Significant Dose
- •17.17 Questions
- •References and Suggested Readings
- •18.1 Introduction
- •18.2 Radiation Protection
- •18.2.3 Occupational Dose Limits
- •18.2.4 ALARA Program
- •18.2.5.1 Time
- •18.2.5.2 Distance
- •18.2.5.3 Shielding
- •18.2.5.4 Activity
- •18.2.6 Personnel Monitoring
- •18.2.6.1 Film Badge
- •18.2.6.2 Thermoluminescent Dosimeter
- •18.2.6.3 Optically Stimulated Luminescence Dosimeter
- •18.3 Radiation Regulations
- •18.3.1 License
- •18.3.1.1 General License
- •18.3.1.2 Specific License of Limited Scope
- •18.3.1.3 Specific Licenses of Broad Scope
- •18.3.2 Radiation Safety Committee
- •18.3.3 Radiation Safety Officer
- •18.3.4.3 Supervision
- •18.3.4.4 Mobile Nuclear Medicine Service
- •18.3.4.5 Written Directives
- •18.4 Bioassay
- •18.6 Radioactive Waste Disposal
- •18.6.2 Release into Sewerage Systems
- •18.6.4 Other Disposal Methods
- •18.7 Radioactive Spill
- •18.8 Recordkeeping
- •18.10 Dirty Bombs
- •18.11 Types of Accidental Radiation Exposure
- •18.12 Protective Measures in Case of Explosion of a Dirty Bomb
- •18.13 Verification Card for Radioactive Patients
- •18.14 Radiation Phobia
- •18.15 European Regulations Governing Radiation
- •18.16 Questions
- •References and Suggested Readings
- •Index

anthracene is 0.026μs. The faster decay time permits the use of organic scintillators
at higher count rates.
8.2 Solid Scintillation Detector
See Table8.1 for a summary of the various characteristics of the following detectors.
8.2.1 NaI (Tl) Detector
Pure sodium iodide produces very little scintillation after interaction with
γ-radiations at room temperature. However, if it is doped with a trace amount
(0.1–0.4%) of thallium as an activator, NaI(Tl) becomes quite efcient in producing
light photons after γ-radiations interact with it. NaI(Tl) molecules are excited or
ionized by interaction with γ-rays or x-rays, and the high-energy states return to
ground states by emitting light photons. Approximately 20–30 light photons are
produced per 1keV of energy.
The choice of NaI(Tl) crystals for γ-ray detection is primarily due to the high
density (3.67g/cm3) of the detector and the high atomic number of iodine (Z=53),
compared to organic scintillators. However, NaI (Tl) crystals are hygroscopic and
fragile, and must be handled with care. Room temperature should not be changed
abruptly, because such changes in temperature can cause cracks in the crystal.
Table 8.1 Properties of different scintillation and solid-state detectors
Detectors
NaI(T1) 51 3.67 250 38
BGO 74 7.13 300 6
BaF
GSO 59 6.71 50 10
LSO 66 7.40 40 29
YSO 34 4.53 70 46
CsI(T1) 54 4.51 1000 52
LYSO 65 7.2 50 25
YA P 39 5.4 27 18
LaBr
CZT 50 5.8 – –
a
BGO bismuth germanate (Bi4Ge3O12), BaF2 barium uoride, LSO lutetium oxyorthosilicate
(Lu
(Gd
perovskite (YAlO
Effective atomic no
(Z)
54 4.89 0.6 2
2
47 5.3 16 61
3
SiO5: Ce), YSO yttrium oxyorthosilicate (Y2SiO5 : Ce), GSO gadolinium oxyorthosilicate
2
SiO5:Ce), LYSO lutetium yttrium oxyorthosilicate (LuYSiO5:Ce), YAP yttrium aluminum
2
), LaBr3: Ce lanthanum bromide, CZT cadmium zinc telluride
3
Density (g/
cm3)
Scintillation decay time
(ns)
a
Photon yield (per
keV)

8.2.2 Bismuth Germanate Detector
The bismuth germanate (BGO) detector has a higher density and effective atomic
number and so higher attenuation coefcient (hence, higher stopping power) for
511keV photons than NaI(Tl). But it has a slightly longer scintillation decay time
(300ns) compared to NaI(Tl) (250ns) and its light output is relatively small causing poor energy resolution. However, energy resolution has minimal effect on the
spatial resolution of PET, which is mainly determined by the size of the detectors.
Moreover, BGO crystals are not hygroscopic. Because of these factors, BGO is
preferred to NaI(Tl) for most positron emission tomography (PET) cameras.
8.2.3 Barium Fluoride Detector
Barium uoride (BaF2) is an inorganic crystal that has a very fast decay time (0.8ns)
and offers a suitable detector for time-of-ight PET.The photon yield in this crystal
is relatively small and it is slightly hygroscopic.
8.2.4 Lutetium Oxyorthosilicate Detector
Lutetium oxyorthosilicate (LSO) doped with cerium is another solid detector that is
used for scintillation counting in PET imaging. LSO has a shorter scintillation decay
time (40ns) than BGO that favors the use of a narrow pulse window to cut down
random coincidences in PET.Also, its higher light output gives a better energy resolution than BGO. These detectors have high efciency for photon detection and can
be fabricated in the size of a few millimeters. Many commercial manufacturers use
LSO detectors in place of BGO detectors in clinical PET scanners and in micro-PET
scanners for scanning small animals.
8.2.5 Gadolinium Oxyorthosilicate Detector
Gadolinium oxyorthosilicate (GSO) is a detector that can be used for coincidence
counting in PET imaging. Even though it has lower light output and stopping power
than LSO, its better energy resolution has prompted some commercial manufacturers to use it in PET scanners. GSO crystals are fragile and great care is warranted in
their fabrication.
8.2.6 Yttrium Oxyorthosilicate Detector
Yttrium oxyorthosilicate (YSO) is an inorganic crystal similar to LSO introduced
for scintillation counting. The scintillation decay time of YSO is 70ns and it gives
high light output. A combination detector of YSO/LSO has been reported for

potential use in simultaneous single photon and coincidence imaging. YSO detects
low- energy photons and LSO detects 511keV photons, and the two pulses are readily separated by pulse shape discriminators.
8.2.7 Yttrium Aluminum Perovskite Detector
Yttrium aluminum perovskite (YAP) doped with cerium (Ce) is a low Z detector
with high light output and shorter scintillation decay time of 27μs, almost ten times
shorter than NaI(Tl). It is neither fragile nor hygroscopic and can stand variations in
temperatures. Although it has been used for some x-ray imaging, its use in SPECT
and PET cameras has been limited.
8.2.8 Lutetium Yttrium Oxyorthosilicate Detector
Lutetium yttrium oxyorthosilicate (LYSO) is a useful detector because of its higher
density and atomic number providing greater stopping power. The detection efciency of the detector is similar to that of the LSO detector and it has been used in
PET scanners by some manufacturers.
8.2.9 Lanthanum Bromide Detector
Lanthanum bromide (LaBr3) has high density and atomic number and reasonably
shorter scintillation decay time (16ns). Its high photon yield and hence its superior
energy resolution make it a good candidate for detectors in medical imaging. Like
NaI(Tl), it is, however, hygroscopic and needs to be housed in an enclosure.
8.3 Solid-State Detector
8.3.1 Germanium andSilicon Detector
Solid-state or semiconductor detectors are made of germanium or silicon elements
commonly doped with lithium. These detectors are designated as Ge(Li) or Si(Li)
detectors, of which the former are commonly used for high-energy γ-ray detection
and the latter for α-particle and low-energy radiation detection. Currently, high
purity germanium (HPGe) alone without lithium is commonly used. The basic principle of operation of these detectors involves ionization of the semiconductor atoms,
as in gas detectors. When radiation interacts with a semiconductor, ionization occurs
with the transfer of an electron from the valence band to the conduction band and
concomitant creation of a positively charged hole in the valence bond. When an
electric eld is applied, the electron-hole pairs migrate to the respective electrodes
and produce voltage pulses. The pulses are then amplied and counted. The size of

the pulse is proportional to the radiation energy absorbed in the detector, but does
not depend on the type of radiation. Note that there is no light production and therefore no photomultiplier tube is needed.
Because semiconductors are much denser than gases, they are more efcient for
x- and γ-ray detection than gas detectors. Also in semiconductor detectors, each
ionization requires only about 3 eV compared to 35 eV in gas detectors. Thus,
almost ten times more ions are produced in semiconductor detectors than in gas
detectors for a given γ-ray energy, thus yielding a better spectral resolution of γ-ray
photons of closer energies. Fabrication of Ge(Li) and Si(Li) detectors is quite timeconsuming and expensive. The size of the detectors is also small, which prevents
their use in gamma cameras.
Thermal noise at room temperature introduces a high background that can
obscure the sample counts, but is reduced at low temperatures. Therefore, these
detectors are operated at a low temperature usually employing liquid nitrogen
(−196°C or 77°K). A disadvantage of these detectors is that liquid nitrogen evaporates over time and needs to be replenished periodically, typically weekly. Nowadays
HPGe detectors can be kept at room temperature when not used, and cooled when
used for counting by means of helium-based cryoelectric and freon- based coolers.
Semiconductor detectors are most useful in differentiating photon energies
because of the high-energy resolution, particularly in detecting radionuclidic contamination. These detectors are not in common use in nuclear medicine.
8.3.2 Cadmium–Zinc–Tellurium Detector
Cadmium–Zinc–Tellurium (CZT) detectors are another type of semiconductor
made of Cd, Zn, and Te metals, and provide very high efciency for γ-ray detection
because of their high atomic numbers. For reasons of high detection efciency,
these detectors can be made as small as 2-mm thick and 2-mm diameter with almost
100% efciency for 100keV photons. The energy resolution of these detectors is
very good (~6%) for a wide range of γ-ray energies. These detectors are operated at
room temperature. The electronics used are similar to those of other scintillation
detectors. Different types of handheld probes have been devised for various purposes. One probe, called the Neoprobe 1000, is used for the detection of metastatic
125
sites containing radioactivity (e.g.,
1-labeled monoclonal antibody) during surgery for their removal by incision. Also this detector has been used in gamma cameras manufactured by Spectrum Dynamics and GE Healthcare.
8.3.3 Cesium Iodide (CsI(Tl)) Detector
The CsI(Tl) detector has higher density and hence greater stopping power than the
NaI(Tl) detector and also yields more light photons per keV. But its scintillation
decay time is very long (1000ns) resulting in longer dead time for the counting

system. The crystal is weakly hygroscopic and does not require hermetic sealing.
Unlike NaI(Tl), it can withstand a wide variation in temperature.
8.3.4 Solid Scintillation Counter
A basic solid scintillation counter consists of a scintillation detector, a PM tube, a
preamplier, a linear amplier, a PHA, and a recording device (Fig.8.1). The most
commonly used scintillation detector in γ-ray counting is NaI(Tl), although BGO
and LSO are commonly used in PET, discussed later. Each of these components is
described in detail next.
8.3.4.1 NaI(Tl) Detector
The NaI(Tl) detectors are made of various sizes for different types of equipment.
Circular or cylindrical crystals vary from 3.8 to 50cm in diameter and 0.63–23cm
in thickness. Rectangular crystals of approximate dimension of 45×60cm are also
available. In thyroid probes and well counters, smaller and thicker crystals are used,
whereas larger and thinner crystals are employed in scintillation cameras.
8.3.4.2 Photomultiplier Tube
A PM tube consists of a light-sensitive photocathode at one end, a series (usually
ten) of metallic electrodes known as dynodes in the middle, and an anode at the
other end—all enclosed in a vacuum glass tube (see Fig.8.1). The photocathode is
usually an alloy of cesium and antimony or other bialkali metal that releases electrons after absorption of light photons. The PM tube is xed on to the NaI(Tl) crystal with the photocathode facing the crystal by a special optical grease or connected
to the crystal using light pipes.
A high voltage of ∼1000V is applied between the photocathode and the anode
of the PM tube in steps of 50–150V between dynodes (see Fig.8.1). Dynodes are
coated with materials such as Cs and Sb that are good for secondary emission of
electrons. When light photons from the NaI(Tl) crystal strike the photocathode,
approximately one to three photoelectrons are produced from the photocathode per
7–10 light photons. Each of these photoelectrons is accelerated to the rst dynode
and emits two to four electrons upon impingement. The accelerated electrons strike
the successive dynodes, and more electrons are emitted. The process of multiplica-
5
tion continues until the last dynode is reached, where a pulse of 10
–108 electrons
is produced. The pulse is then attracted to the anode and nally delivered to the
preamplier. The amplitude of the pulse is proportional to the number of light photons received by the photocathode and in turn to the energy of the γ-ray photon
absorbed in the detector. The applied voltage must be very stable, because slight
changes in dynode voltage cause a great variation in electron multiplication factor.

Anode
wi
D10
C
V+1000
Pre-
amplifier
Amplifier
analyzer
Recording
device
Pulse height
r
D3
D1
Optical
ndow
ray
γ
Fig. 8.1 A basic scintillation counter consisting of a NaI(Tl) detector, a photomultiplier (PM)
tube, a preamplier, a linear amplier, a pulse-height analyzer, and a recording device. The high
voltage applied to the PM tube is typically 1000V
+400 V High Voltage
D4
+200 V
D2
Photocathode
Nal (TI) Crystal
Reflector
8.3.4.3 Preamplifier
The pulse from the PM tube is small in amplitude and is initially amplied by a
preamplier. The preamplier adjusts the voltage of the pulse (pulse shaping) and
matches impedance level between the detector and the subsequent circuits so that
the pulse is appropriately processed by the system.
8.3.4.4 Linear Amplifier
A linear amplier amplies further the signal from the preamplier and delivers it
to the pulse-height analyzer for analysis of its amplitude. The amplication of the
pulse is given by the amplier gain expressed as the ratio of the amplitude of the
outgoing pulse to that of the initial pulse from the PM tube. The amplier gains are
given in the range of 1–1000 by gain control knobs provided on the amplier. The
output pulses normally have amplitudes of up to 10V.

8.3.4.5 Pulse-Height Analyzer
γ-rays of different energies can arise from a source of the same or different radionuclides or scattering of γ-rays in the source and the detector. Thus, in counting a
radioactive source, the pulses coming out of the amplier may differ in magnitude.
A PHA is a device that selects for counting only those pulses falling within preselected voltage intervals or “channels” and rejects all others (see Fig.8.1). Pulses
corresponding to γ-ray energies of interest are selected by energy discriminator
knobs, known as the lower level and upper level, or the baseline and window, provided on the PHA, and are ultimately delivered to the recording devices such as
scalers, computers, lms, and so on.
There are two modes of counting using PHAs: differential and integral. In dif-
ferential counting, only pulses of preselected energies are counted by appropriate
selection of lower and upper level knobs (discriminators) or the baseline and window. In scintillation cameras, however, differential counting is achieved by a peak
voltage knob and a percent window knob. The peak voltage knob sets the energy of
the desired γ-ray, and the percent window knob sets the window width in percentage
of the γ-ray energy, which is normally placed symmetrically on each side of the
peak voltage.
In integral counting, γ-rays of all energies or all γ-rays of energies above a certain
energy are counted by setting the appropriate lower level or baseline and bypassing
the upper level or window mechanism.
A PHA normally selects only one range of pulses corresponding to only one γ-
ray energy by means of differential counting. Such a PHA is called a single-channel
analyzer (SCA). A multichannel analyzer (MCA) is a device that can simultaneously sort pulses into many predetermined voltage ranges or channels, corresponding to different photon energies. By using an MCA, one obtains a simultaneous
spectrum of different γ-ray energies from a radioactive source.
8.3.4.6 Display or Storage
Pulses processed by the PHA can be displayed on a cathode ray tube (CRT) or can
be counted for a preset count or time by a scaler–timer device. A rate meter can be
used to display the pulses in terms of counts per minute (cpm) or counts per second
(cps). In scintillation cameras, pulses can be used to form the image on a CRT and
polaroid or x-ray lms. These pulses can also be stored in a computer or on a magnetic tape or laser disc for processing later. Nowadays, computer monitor and storage are the mainstay for display and storage of data in nuclear medicine.

8.4 Gamma-Ray Spectrometry
ab
ENERGY (keV)
ENERGY (keV)
Pulses are generated by the PM tube and associated electronics after the γ-ray
energy is absorbed in the NaI(Tl) detector. Because γ-rays interact with the NaI(Tl)
detector by photoelectric, Compton, and pair production mechanisms, and also
because various scattered radiations from outside the detector may interact with the
detector, a distribution of pulse heights will be obtained depicting a spectrum of γ-
ray energies. Such a γ-ray spectrum may result from a single γ-ray or from many
γ-rays in a sample. Different features of this spectrum are discussed here.
8.4.1 Photopeak
In an ideal situation, if the γ-ray photon energy is absorbed by the photoelectric
mechanism and each γ-ray photon yields a pulse of the same height, then each γ-ray
would be seen as a line on the γ-ray spectrum (Fig.8.2a). In reality, the photopeak
is broader, which is due to various statistical variations in the process of forming the
pulses. These random uctuations arise from the following conditions:
1. Because 20–30 light photons are produced for every keV of γ-ray energy
absorbed, there is a statistical variation in the number of light photons produced
by the absorption of a given γ-ray energy in the detector. Also, statistically all
light photons produced may not strike the photocathode.
2. As already stated, 7–10 light photons are required to release 1–3 photoelectrons
from the photocathode. Therefore, the number of photoelectrons that one γ-ray
will produce may vary from one event to another.
3. The number of electrons released from the successive dynodes by impingement
of each electron from the previous dynode varies from 2 to 4, and therefore pulse
heights from the PM tube will vary from one γ-ray to the next of the same energy.
All of the preceding statistical uctuations in generating a pulse cause a spread
in the photopeak (see Fig.8.2b). A typical spectrum of the 662-keV γ-ray of
is shown in Fig.8.3.
Fig. 8.2 γ-ray spectra. (a)
An ideal spectrum would
represent the different
γ-rays as lines. (b) An
actual spectrum showing
the spread of the
photopeak that is due to
statistical uctuations in
the pulse formation
200 400 600 800
200 400 600 800
137.
Cs

60
ENERGY (keV)
50
40
30
20
10
Compton Plateau
200 300 400 600 700 800 900500100
Fig. 8.3 A typical spectrum of the 662-keV γ-ray of
plateau, Compton edge, Compton valley, backscatter, characteristic lead K x-ray, and barium K
x-ray peaks
137
Cs illustrating the photopeak, Compton
8.4.2 Compton Valley, Edge, andPlateau
When γ-rays interact with the NaI(Tl) detector via Compton scattering and scattered
photons escape from the detector, the Compton electrons result in pulse heights that
are smaller than that of the photopeak. The Compton electrons, however, can have
variable energies from zero to E
trons that are produced by the 180° Compton backscattering of the γ-ray photons in
the detector. At relatively high photon energy, E
minus 256keV (Eq. 6.3). Thus, the γ-ray spectrum will show a continuum of pulses
corresponding to Compton electron energies between zero and E
E
is called the Compton edge, and the portion of the spectrum below the Compton
max
edge, down to about zero energy, is called the Compton plateau (see Fig.8.3). The
portion of the spectrum between the photopeak and the Compton edge is called the
Compton valley, which results from multiple Compton scattering of a γ-ray in the
detector yielding a narrow range of pulses in this region.
The relative heights of the photopeak and the Compton edge depend on the photon energy as well as the size of the NaI(Tl) detector. At low energies, photoelectric
effect predominates over Compton scattering, whereas at higher energies the latter
becomes predominant. In larger detectors, γ-rays may undergo multiple Compton
scattering, which can add up to the absorption of the total photon energy identical to
the photoelectric effect. This increases the contribution to the photopeak and
decreases to the Compton plateau.
, where E
is the kinetic energy of those elec-
is given by the photon energy
max
. The peak at
max

8.4.3 Characteristic X-Ray Peak
Photoelectric interactions of the γ-ray photons in the lead shield around the detector
can lead to the ejection of the K-shell electrons, followed by transition of electrons
from the upper shells, mainly the L shell, to the K shell. The difference in binding
energy between the K-shell electron (∼88keV) and the L-shell electron (∼16keV)
appears as lead K x-ray of ∼72 keV. These characteristic x-ray photons may be
directed toward the detector and absorbed in it and may appear as a peak in the γ-ray
spectrum (see Fig.8.3). These photons can be reduced by increasing the distance
between the detector and the shielding material.
8.4.4 Backscatter Peak
When γ-ray photons, before striking the detector, are scattered at 180° by Compton
scattering in lead shielding and housing, and the scattered photons are absorbed in
the detector, then a peak, called the backscatter peak, appears in the γ-ray spectrum
(see Fig.8.3). For high-energy photons, the backscattered peak appears at 256keV
(see Eq. (6.3)). This peak can be mostly eliminated by increasing the distance
between the shield and the detector.
8.4.5 Iodine Escape Peak
Photoelectric interaction of γ-ray photons with iodine atoms of the NaI(Tl) detector
usually results in the emission of characteristic K x-rays. These x-ray photons may
escape the detector, resulting in a peak equivalent to photon energy minus 28keV
(binding energy of the K-shell electron of iodine). This is called the iodine escape
peak, which appears about 28 keV below the photopeak (Fig. 8.4). This peak
Fig. 8.4 A spectrum of
81-keV γ-ray of
showing an iodine
escape peak
133
Xe
60
50
40
30
20
10
PHOTOPEAK
20 40 60 80 100
ENERGY (keV)
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