Eipin3 Lu5
Eipin3 Lu5
5.1 INTRODUCTION
All elements are built up from atoms and an atom can be further divided into:
1. Protons
2. Neutrons
3. Electrons
5.1.1. Protons
Protons form a part of the nucleus of an atom. They have a unit positive charge and a
unit mass. Every atom has protons in its nucleus. The number of protons in an atom
varies, however, from one element to another.
5.1.2. Neutrons
Neutrons are normally also found in the nucleus of an atom. A neutron has no electric
charge but its mass is the same as that of a proton. The hydrogen atom, which is the
least complex atom, is the only one that does not have neutrons in its nucleus. Its
nucleus consists of a single proton, only.
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5.1.3. Electrons
Electrons rotate around the nucleus in different orbits or shells. The electron has a
negative charge of 1 unit and a mass of 1/1840 units.
The orbit or shell which is nearest the nucleus is the K-shell and has only two
electrons. The next one is the L-shell and has a maximum of 8 electrons. Then come
the M-shell with a maximum of 18 and the N-shell with a maximum of 32 electrons.
5.2 ISOTOPES
The chemical characteristics of an element are determined by the number of electrons
rotating around the nucleus of the atom. All the atoms of a specific element have the
same number of electrons. In an electrically neutral atom, the number of electrons is
equal to the number of protons and neutrons in the nucleus and its symbol is A. The
number of neutrons in the nucleus is indicated by the symbol N. Therefore one can
write:
A= N×Z (5.1)
If X represents the chemical symbol for an element, any element may be represented
as:
For example, consider the element hydrogen, which is represented by the chemical
symbol:
It has only one proton and no neutrons in each nucleus of each atom, and hence it has
an atomic number of 1 and an atomic mass of 1 too.
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Those atoms of hydrogen are called isotopes of hydrogen.           These are atoms of
hydrogen which have acquired neutrons in their nuclei. These atoms have the same
atomic number, i.e. 1 for 1 proton in each nucleus, but the mass number may be 1, 2
or 3.
In general then, we may say that nuclides of elements having the same atomic number
but different atomic masses are isotopes of the element.
1. Alpha Particles
2. Beta Particles
3. Gamma Rays
Alpha particles can easily ionise other atoms when they collide with them, because
they travel at high speed and are relatively massive and therefore they are radiated at
relative high kinetic energy levels.
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Alpha particle radiation can be screened off quite easily, even by means of a thin
piece of paper because the particles are physically large.
The answer is that a neutron can split into an electron and a proton. The proton then
remains in the nucleus while the electron is radiated. This increases the atomic
number of the isotopes by one unit. The electron is radiated as either a positive or a
negative beta particle.
Beta particles are very small like electrons and have either unit positive charge or unit
negative charge. The mass of a beta particle is approximately 7000 times smaller than
an alpha particle and therefore the penetrating properties of the beta particle are much
more effective than is the case with alpha particles, but even so they can only
penetrate a relatively thin layer of skin, and because of the small mass the kinetic
energy of a moving beta particle is not all that big. Beta particles cannot therefore
easily cause isolation.
Since gamma rays are electromagnetic waves, they have no mass and also no electric
charge. When alpha and beta decay occurs, large amounts of energy are liberated.
Some of this energy is left behind in the atom and this is then radiated in the form of
gamma rays from the unstable atom.
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• Unit of Becquerel
• Unit of Exposure
1 Bq = 1 s −1 (5.6)
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5.4.4. Unit of Equivalent Dose
The different types of radiation cause different effects in human tissue. Thus a
weighted unit of absorbed dose is used and these are known as units of equivalent
dose. The dose equivalents are used to compare the effects of different types of
radiation of human tissue. The dose equivalent is the product of the absorbed dose
and a weighted factor (wR), which is determined by the type of radiation involved.
                                         Table 5.1
                                                  Weighted Factor
                             Type of Radiation
                                                       (wR)
                                 X-Rays                  1
                               Gamma Rays                1
                               Beta Particles            1
                             Thermal Neutrons            3
                              Alpha Particles           10
                              Fast Neutrons             10
The Sievert is the dose equivalent when the absorbed dose of ionisation radiation,
multiplied by the appropriate factor amount to 1 joule per kilogram (1 J/kg). This unit
used to be called the rem.
                                            dN
                                       A=      = −λN                               (5.7)
                                            dt
                                    dN
                                       - Rate of Decay
                                    dt
λ - Decay Factor
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                           N – Number of unstable nuclides
Where the rate of decay is a measure of the number of disintegrations per second, and
is known as the activity of the isotope. The numerical sign indicates that N gets
smaller as time passes.
                                          0.693
                                     t=                                            (5.8)
                                             λ
                      t - Half-life time of the isotope in question
The half-life of an isotope can vary from a fraction of a second to hundreds of years,
dependant on the type of isotope involved.
The time spent near the source must be as short as possible. The distance between the
person and the source should be as large as possible. The inverse-square rule is
applicable here.
By using the correct screening material, a person can be protected against radiation.
• Ionisation Chambers
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    •   Proportional Counters
• Geiger-Müller Counters
Normally, positive and negative charges tend to recombine, but this can be prevented
by using a positive electrode to attract the negative electrons and a negative electrode
to attract the positive ions.
                                                                                ALPHA
                                                                              PARTICLES
                                                                                  ++
                                                                               ++
                                                                                   +
                                                                                +
                                ANODE +                                                    +
                                                +       - +
                                                                  -
                                            -
                                    +                   -     +
                                -
                                            -       +                                      -
                                        +
                           CATHODE -
GALVANOMETER
A galvanometer connected to the electrodes will then show a current which will be
proportional to the intensity of the radiation, the type of gas which fills the chamber
and the voltage applied to the electrodes. The voltage applied to the electrodes must
be high enough to attract the ions to the electrodes. Ionisation chambers can be used
to detect alpha particles, beta particles, gamma radiation and neutrons. Figure 5.3
shows the relationship between the current and voltage when ionisation occurs when
using an Ionisation Chamber.
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The number of pulses registered on the galvanometer is an indication of the intensity
of the radiation. A rate-counter can also be used as an indicating instrument as shown
in Fig. 5.2.
Each pulse received, charges C and then discharges through R. The magnitude of the
current then represents the intensity of the radiation. By changing the time constant R
and C, the reading can be made to fluctuate less between pulses, but the sensitivity
decreases if there is a sudden change in the pulse rate.
PULSES
                            RESERVOIR C
                            CAPACITOR
GALVANOMETER
A single ionisation particle can then cause a large pulse. The magnitude of the pulse
is then proportional to the energy of the original particle that caused the ionisation.
The positive ions, on the other hand, moves too slowly to cause secondary ionisation.
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By increasing the voltage between the cathode and the anode of the proportional
counter still further, as indicated in Fig. 5.3, each primary electron produces a large
number of secondary electrons.        This type of ionisation is known as avalanche
ionisation. Pulses of constant amplitude are produced. When the slowly moving
positive ions reach the cathode, they may dislodge electrons from the cathode and
make the ionisation process begin all over again. The damping gas has the function of
neutralising the positive ions, thus preventing further ionisation from taking place.
             ∞
         CURRENT
                                                         GEIGER-MüLLER
                                                            COUNTER
                                      PROPORTIONAL
                       IONISATION       COUNTER
                        CHAMBER
                   0                                                         ∞
                                        VOLTAGE
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Example 5.1
100 Counts were registered in 5 seconds in a certain experiment. Determine the count
rate and standard deviation.
                                                   n    n
                                Count Rate =         ± 2
                                                   t   t
                                                 100    100
                                               =     ±
                                                  5      52
                                               = 20 ± 2
Therefore, the Count rate is 20 counts per second with a standard deviation of ± 2
counts per second. The count therefore lies between 18 and 22.
Usually the count will be influenced by a background count which will always be
present, i.e. cosmic radiation etc.
In order to obtain a more accurate count, the background count must be measured
beforehand and this must then be subtracted from the count produced by the source
and background together.
Example 5.2
6720 Counts were registered with a Geiger-Müller counter in 4 minutes from a
source. The background radiation is measured for 10 minutes and the count was 480.
Determine the corrected count rate and the standard deviation.
                                          n b    n b
                      Count Rate =          − ±  2 + 2 
                                          t1 t 2  t1 t 2 
                                        6720 480        6720 480
                                      =       −     ±         −
                                         240 600        240 2 600 2
                                      = 27.2 ± 0.34 per sec ond
• Measurement of Level
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   •   Measurement of Density
• Measurement of Thickness
Radio-active methods are usually used to measure the level of dangerous liquids,
where other methods are unsuitable (e.g. molten glass, molten iron, etc.). Radio-
active methods also have the advantage that flanges do not have to be mounted on the
containers which hold the liquid. The liquid can not block the impulse lines. High
temperatures cannot influence the source or the detector, because they do not make
contact with the liquid.
DETECTOR AMPLIFIER
SOURCE
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Figure 5.5 represents a level measuring technique by means of the change in distance
between the source and the detector.
DETECTOR AMPLIFIER
SOURCE
Figure 5.6 represents a level measuring technique by means of the “Switch Principle”.
            SOURCE
                                                DETECTOR         AMPLIFIER
The disadvantages of these methods are that a reading is influenced when the density
of the liquid changes. The change in the reading is also non-linear with respect to the
level. Radio-active sources involve a health risk, and a special license has to be
obtained by users of radio-active sources.
Two installations methods are shown in Fig. 5.7 and 5.8 respectively for pipe
diameters smaller than 150 mm, and those greater than 150 mm.
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                             LARGE PIPE
                              > 150 MM
SOURCE
DETECTOR AMPLIFIER
FLOW
SOURCE
FLOW
                           SMALL PIPE
                            < 150 MM
DETECTOR AMPLIFIER
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emitted by the collision is a function of the mass of the nucleus with which they
collide.
DETECTOR
                     IDLERS
                       OR
                    ROLLERS
                                                        SPEED
                                                       SIGNAL
                  CONVEYER
                    BELT
                     SOURCE
TACHOMETER
                                                                          TO RECORDER
                                  MOISTURE                DENSITY
                          THERMAL         FAST
                          NEUTRON       NEUTRON      GAMMA      GAMMA
                          DETECTOR       SOURCE     DETECTOR    SOURCE
SCRAPER
FLOW
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The density of the sample affects the number of neutrons that are deflected. The
density of the material is measured using a gamma source. The signals obtained from
the neutron detector and the gamma detector is scaled to indicate the amount of
moisture in the substance.
AMP RECORDER
DETECTOR
                                                MATERIAL
                                                  BEING
                                                MEASURED
SOURCE
                DETECTOR 1                         DETECTOR 2
                                                                  COATING
SOURCE 1 SOURCE 2
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Source 1 and detector 1 are used to measure the thickness of the material, and source
2 and detector 2 are used to measure the thickness of the material plus the thickness of
the coating. Subtraction of the results gives the thickness of the coating.
• X-Ray Analyses
• Neutron-Activation Analyses
Example 5.1
                                   23
                                        Na + n →   24
                                                        Na + 8
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Where n is the uptake of neutrons and 8 is the energy that is emitted over time as
shown in the Decay process below.
Decay:
NON-DESTRUCTIVE TESTING
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FLUX LEAKAGE
Flux leakages can only be detected if a high level of magnetisation can be obtained.
For a round bar of steel with a diameter of 25 mm, an electric current of more than
100 A may be required.
Magnetic flux leakage can also be used for Non-Destructive Testing (NDT) by
applying finely divided ferric-oxide particles to the surface. The particles tend to
accumulate around the point of flux leakage, just as iron filings accumulate at the tips
(poles) of a horse-shoe magnet. It is not easy to obtain a permanent record of the
flaws using this method.
V1 V2
V2 > V1
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The potential difference across the crack is measured by the two inner probes, and the
magnitude of the potential difference is proportional to the depth of the crack.
Eddy current inspection is one of several NDT methods that use the principal of
“electromagnetism” as the basis for conducting examinations. Several other methods
such as Remote Field Testing (RFT), Flux Leakage and Barkhausen Noise also use
this principle.
Eddy currents are created through a process called electromagnetic induction. When
alternating current is applied to the conductor, such as copper wire, a magnetic field
develops in and around the conductor. This magnetic field expands as the alternating
current rises to maximum and collapses as the current is reduced to zero. If another
electrical conductor is brought into the close proximity to this changing magnetic
field, current will be induced in this second conductor. Eddy currents are induced
electrical currents that flow in a circular path. They get their name from “eddies” that
are formed when a liquid or gas flows in a circular path around obstacles when
conditions are right.
In order to generate eddy currents for an inspection, a probe is used. Inside the probe
is a length of electrical conductor which is formed into a coil. Alternating current is
allowed to flow through the coil at a frequency determined by the type of test
involved. An expanding and collapsing magnetic field (dynamic) forms in the coil as
the alternating current flows through the coil.      When an electrically conductive
material is placed in the coils dynamic magnetic field, electromagnetic induction will
occur and eddy currents will be induced in the material. Eddy Currents flowing in the
material will generate their own secondary magnetic field which will oppose the coils
primary magnetic field as shown in Fig. 5.15 (a). This entire electromagnetic
induction process to produce Eddy Currents may occur from several hundred to
several million times each second depending on the frequency.
When there is a flaw within the material the Eddy Currents are disrupted as shown in
Fig. 5.15 (b).
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                        ALTERNATING                         ALTERNATING
                          CURRENT                             CURRENT
(a) (b)
• Crack detection
o Material identification
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   •   Detects surface and near surface defects
   •   Flaws such as delaminations that lie parallel to the probe coil winding and
       probe scan direction are undetectable
• Transmission
• Pulse-echo
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   •     Resonance
In the transmission method a beam of ultrasonic energy is passed through the sample.
An ultrasonic transmitter is placed on one face and an ultrasonic receiver is placed on
the other face. Flaws cause reduction of the amplitude of the received signal. No
indication of the depth of the crack can be obtained in this way.
If the pulse-echo method is used, the transmitter and receiver can be mounted on the
same probe (not necessarily, but for convenience). Access to one surface only is then
necessary. Waves are reflected back to the probe from within the sample, and the
time it takes for a pulse to travel from the transmitter to a flaw where it is reflected
back towards the probe, and the time taken to travel back to the probe is accurately
measured.
The resonance method differs from the pulse-echo method, in that there is a certain
frequency which is characteristic of a given material, for which the reflected pulse is
amplified by the material. The material is made to vibrate at its characteristic natural
frequency, and at this point resonance is said to exist. Resonance can be obtained if
the path length of the pulse is equal to ½ the wavelength of the pulse. The frequency
of the ultrasonic energy is thus adjusted to obtain maximum sensitivity, (at resonance)
and thickness can thus be measured from one side of the material under test, at
various points.
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be controlled.   The first back wall echo from a sample of which the ultrasonic
attenuation has negligible dependence on frequency and which is relatively thin, is
analysed. The results can be used to compare the frequency response of different
transducers, by using the same sample in each case.
The radiation is absorbed by the specimen, and the absorption depends on the
thickness, density and composition of the specimen.         An image of the absorbed
radiation is registered by a photographic film adjacent to the specimen. The image is
also called a shadow graph or radiograph. An inverse in density at a certain position
will appear as a lighter point on the shadow graph at that specific point, etc. The
shape of the spot on the image will be the same as the shape of the spot itself, in the
same way as X-ray photographs of organs of human beings are obtained.
If neutron beams are used, the presence of elements with low atomic numbers such as
liquids, adhesives, rubber, plastic, etc. can be detected in metal samples.
A method which is very much the same as the radiographic method is called
fluoroscopic analysis. The apparatus used is the same as for radiography. Instead of
film, a specially constructed screen is used which fluoresces when X-rays fall on it.
The image is positive instead of negative as in the case of X-rays. This method
provides easier and faster interpretation of the results.
                                 Assignment 5.1
                                     Recommended            Submission Date:
      Problem to        of
 1.                                  reference:
      APPENDIX I.                                           __________________
                                     APPENDIX I
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