Measuring Build Up Factor-Physics-Lab Report, Exercises of Advanced Physics

This is lab report for Advanced Physics Course. It was submitted to Prof. Dhirendra Kapoor at Alliance University. Its main points are: Factor, Buildup, Measure, Electron, Gamma, Scatter, Emission, Attenuation, Beam, Radiation, Primary

Typology: Exercises

2011/2012

Uploaded on 07/16/2012

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The purpose of the experiment is to determine buildup factor for given source. The experiment
involves firing a narrow beam of gamma-rays at a material and measuring how much of the
radiation gets through. We vary the type of absorbing material as well as its thickness and
density by interposing iron, aluminum, and copper absorbers of different thicknesses t between
the source and the detector. Buildup factor is determined by using two geometries, first the
counts are taken for good and bad geometry and then buildup factor is determined from it.
Another method used for measuring build up factor is determining buildup factor by using multi
channel analyzer.
Build up factor:- The factor by which the total value of the quantity being assessed at the point
of interest exceeds the value associated with only primary radiation. The total value includes
secondary radiations especially scattered radiation.
The gamma-ray buildup factors for point isotropic sources in infinite homogeneous media have
been widely used in gamma-ray shielding calculations. Considerable effort has been devoted
to developing methods of calculating buildup factors taking into account multiple scattering
of gamma-ray. The data set of gamma-ray buildup factors was first developed by Goldstein
theoretical value by some factor called build up factor. This increase in intensity of gamma rays
at observation point is due to many effects one of which is scattering of gamma rays from some
material. Theoretical value by some factor called build up factor. This increase in intensity of
gamma rays at observation point is due to many effects one of which is scattering of gamma rays
from some material.
Buildup factors vary with a number of parameters such as the distance of penetration through
the attenuating medium; the geometric configuration of the attenuating medium, source and
detector position; the composition of the medium; the detector response function; and the energy
and direction of emission of the source photons, ideally taken to be monoenergetic and
isotropic.
Why Build Up Factor Is Needed:- when radiation is incident on some attenuator material then
beside some other process also take place. The collision processes depend very much on the type
of particles involved in the collision. Heavily ionizing particles such as, alpha particles or
protons are very easily stopped by a small amount of material because they leave a dense trail of
ions. They are not generally removed by a single collision but slowed with energy going into the
ionizing process. On the other hand, electrons scatter off other electrons and in this process, lose
energy and produce a gamma. Subsequently, the gamma may react with another electron to
produce an electron and gamma. This process is called a gamma cascade which is complicated
to calculate.
Due to these many processes radiation passed through attenuator is not only given by attenuation
constant but also by another constant called build up factor. This build up factor has a number of
uses in radiation shielding.
Attenuation:-. When radiation falls on some material then some of radiation is blocked by
material by some processes like stopping or blocking by its nucleus. This property is used in
radiation shielding of material. Material having higher cross section of radiation stopping is used
in radiation shielding.
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The purpose of the experiment is to determine buildup factor for given source. The experiment

involves firing a narrow beam of gamma-rays at a material and measuring how much of the

radiation gets through. We vary the type of absorbing material as well as its thickness and

density by interposing iron, aluminum, and copper absorbers of different thicknesses t between

the source and the detector. Buildup factor is determined by using two geometries, first the

counts are taken for good and bad geometry and then buildup factor is determined from it.

Another method used for measuring build up factor is determining buildup factor by using multi

channel analyzer.

Build up factor:- The factor by which the total value of the quantity being assessed at the point

of interest exceeds the value associated with only primary radiation. The total value includes

secondary radiations especially scattered radiation.

The gamma-ray buildup factors for point isotropic sources in infinite homogeneous media have

been widely used in gamma-ray shielding calculations. Considerable effort has been devoted

to developing methods of calculating buildup factors taking into account multiple scattering

of gamma-ray. The data set of gamma-ray buildup factors was first developed by Goldstein

theoretical value by some factor called build up factor. This increase in intensity of gamma rays

at observation point is due to many effects one of which is scattering of gamma rays from some

material. Theoretical value by some factor called build up factor. This increase in intensity of

gamma rays at observation point is due to many effects one of which is scattering of gamma rays

from some material.

Buildup factors vary with a number of parameters such as the distance of penetration through

the attenuating medium; the geometric configuration of the attenuating medium, source and

detector position; the composition of the medium; the detector response function; and the energy

and direction of emission of the source photons, ideally taken to be monoenergetic and

isotropic.

Why Build Up Factor Is Needed:- when radiation is incident on some attenuator material then

beside some other process also take place. The collision processes depend very much on the type

of particles involved in the collision. Heavily ionizing particles such as, alpha particles or

protons are very easily stopped by a small amount of material because they leave a dense trail of

ions. They are not generally removed by a single collision but slowed with energy going into the

ionizing process. On the other hand, electrons scatter off other electrons and in this process, lose

energy and produce a gamma. Subsequently, the gamma may react with another electron to

produce an electron and gamma. This process is called a gamma cascade which is complicated

to calculate.

Due to these many processes radiation passed through attenuator is not only given by attenuation

constant but also by another constant called build up factor. This build up factor has a number of

uses in radiation shielding.

Attenuation:-. When radiation falls on some material then some of radiation is blocked by

material by some processes like stopping or blocking by its nucleus. This property is used in

radiation shielding of material. Material having higher cross section of radiation stopping is used

in radiation shielding.

For a material with buildup factor μ and I 0 intensity is incident on that material with thickness of

L then intensity passed is given as

The attenuation coefficient μ can be considered as the fraction of photons that interact with the

shielding medium per centimeter of shielding. This coefficient assumes that all photons that

interact are removed. But here we are ignoring some other processes like Compton scattering and

pair production photons. These processes ignoring underestimates the shielded dose rate and the

shielding required. It is also known as narrow beam conditions because the source and detector

are assumed to be collimated and the measurement made at a short distance.

No photons are scattered. The only way to make this happen is to side and back shield the source

and the detector (collimate). This only applies at close distances though. Further away, the air

scatters the photons in real life. This is idealistic and without the collimation or at a longer

distance, the dose-rate is underestimated.

In real there are some processes making the process some complicated. These are Compton

scattering and pair production. These processes decrease number of photons in radiation reaching

the detector and cause attenuation.

Simple Scatter (Rayleigh scattering):-. This process is always present and causing attenuation

everywhere. Rayleigh scattering (named after Lord Rayleigh) is the elastic scattering of light or

other electromagnetic radiation by particles much smaller than the wavelength of the light. It can

occur when light travels in transparent solids and liquids, but is most prominently seen in gases.

Photo electric effect:-. If energy of photon is such that it can eject an electron from surface of a

material, then photons of such energy are stopped. For this process photon must have threshold

energy of φ or above it. Threshold energy φ is minimum energy required to eject an electron

from surface of material. For f frequency photon we have energy of ejected electron as

Where h is Planck’s constant. This process also contributes to attenuation.

X-ray production:-. Some of photons are not stopped by photoelectric effect and Compton

Effect but they penetrate into electronic configuration of atom of shield and they are eject

Fig.2 bad geometery

Bad geometry does not require collimators so that scattered photons can reach the detector.

In good geometry collimators are needed because it minimizes the scattered photons to reach the

detector. These geometries can be mad using figures.

Apparatus Of Experiment:

1.Gamma rays source Cs-

2. Shielding material plates like Copper ,Aluminum ,Iron.

3. Collimators

4. Preamplifier.

5. Amplifier

6. Single Channel analyzer

7. Power supply

8. CRO

9. Delay amplifiers

10. Multi channel analyzer

Fig. 3 good geometery

Procedure:-. Using different materials in bad geometry and good geometry we can count

number of particles radiation passed through these material for different thickness and from these

count rates we can calculate attenuation coefficient and build up factor for different energies and

thickness.

As

FIG. 4 for attenuation constt of Iron

The value of attenuation coefficient is 0.3404 mm-

2. For Aluminum:

Tabulated Data:

Plate No X1 X2 X3 X=(X1+X2+X3)/ Count rate Count rate2 Average ln(Average) 0 0 0 0 0 162346 162330 162338 11. 24 6.3 6.25 6.125 6.225 141789 141201 141495 11. 27 6.175 6.075 6.25 6.16666667 125131 124378 124754.5 11. 25 6.15 6.175 6.25 6.19166667 111015 108782 109898.5 11. 30 6.175 6.15 6.225 6.18333333 97344 98014 97679 11. 20 6.3 6.343 6.2 6.281 86740 87000 86870 11.

Fig 4. to determine attenuation constt of Aluminum

The value of attenuation coefficient is 0.124 7mm

-

3. Copper

Its tabulated data are

Plate No X1 X2 X3 X=(X1+X2+X3)/ Count rate Count rate2 Average ln(Average) 0 0 0 0 0 162346 162330 162338 10. 8 13.1 12.45 12.4 12.65 72589 72325 72457 10. 4 12.45 13 12.45 12.6333333 33589 33579 33584 10. 1 12.375 12.3 13.075 12.5833333 15614 15602 15608 10. 6 13.05 12.42 12.45 12.64 7429 7516 7472.5 10. 5 12.42 12.37 12.4 12.3966667 3413 3521 3467 10.

Fig. 5. To determine attenuation constt of copper

Since attenuation coefficient is already calculated so we do not need to calculate it again.

Build up factor measurement:-.

The buildup factor corresponding to different value of thickness for the three materials is

tabulated and is graphically represented in the following paragraphs.

Buildup Factor by SCA

a) Iron

Graphical Representation:

No. of Plates Accumulative Thickness Good Geometry Bad Geometry Buildup Factor(Ibg/Igg) 0 0 162338 1101770 6. 1 7.033333 115003.5 907346.5 7. 2 13.65 81522.5 725823 8. 3 19.90833 57745.5 566383 9. 4 26.2 49774 437980 10. 5 32.53333 29916.5 333587 11.

Fig. 6, build factor versus thickness

b) Aluminum

No. of Plates Accumulative Thickness Good Geometry Bad Geometry Buildup Factor 0 162338 1101770 6. 1 141495 1033014 7. 2 124754.5 967058.5 7. 3 109898.5 902632 8. 4 97679 838968.5 8. 5 86870 776028 8.

Graphical Representation:

Fig. 7, build factor versus thickness

c) Copper

No. of Plates Accumulative Thickness Good Geometry Bad Geometry Buildup Factor 0 0 162338 1101770 6. 1 12.65 72457 683853.5 9. 2 25.28333 33584 374116 11. 3 37.86667 15608 195376.5 12. 4 50.50667 7472.5 100341.5 13. 5 62.90333 3467 51988.5 14.

Dependency of Attenuation Coefficient on Atomic Number of

Material:-. We can compare attenuation coefficient of different material. If we

consider atomic number of different material and their attenuation coefficient, we

conclude that it is proportional to atomic number.

Data:

Material Z μ (mm-^1 ) Aluminum 13 0. Iron 26 0. Copper 29 0.

Graphical Representation:

Fig. 9. Attenuation coefficient versus atomic number

Conclusion:-. From all above data we can conclude that attenuation coefficient is dependent

of number of electrons and protons in atoms of material. That’s why lead is assumed as a good

shielding material. Similarly we also observed that build up factor can change data or shielding

property and is proportional to thickness of material.