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The Nature of
Radiation
January 10, 2001

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Learning Objectives
Know basic constituents of the atom
Define and give an examples of:
Isotopes
Nuclides
Radionuclides
Radioisotopes
Radiations

Know major radiation interactions in
matter
Become familiar with and use
equations to describe radiation
interactions
Jump to first page
Learning Objectives
List charged and uncharged particles
Write the equation that describes how
uncharged particles are attenuated
Describe/draw an image of how
uncharged particles penetrate into
matter
Calculate the:
Range of an alpha particle in air
Range of a beta particle in a known
material
Attenuation of a photon beam
Attenuation of a neutron beam
Jump to first page
Basic Nuclear Particles
Atom: consists of protons,
neutrons & electrons
Proton, mass = 1.007277 amu
Neutron, mass = 1.008665 amu

Electron, mass = 0.000549 amu
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Basic Nuclear Particles
Beta ( -), mass = 0.000549 amu
Positron ( +), mass = 0.000549 amu
Alpha (), mass = ~4 amu

Gamma ray, no mass

X ray, no mass
Jump to first page
b er
num
ass N
M +
=Z

A
Z

Nuclear Terms

XN

At
nu om
m ic
be
r

ron
t
eu ber
N m
nu

Nucleons
Protons and neutrons

Nuclide
Species of atom defined by Z and A
1
H, 238U, 2H are all nuclides

Isotopes
Nuclides of same element (Z),
different number of neutrons (N)
1
H, 2H, 3H are isotopes of H

Isotones
Nuclides with same number of
neutrons
206
Pb and 204Hg
Jump to first page
b er
num
ass N
M +
=Z

A
Z

Nuclear Terms,
continued

XN

At
nu om
m ic
be
r

ron
t
eu ber
N m
nu

Radionuclide
Radioactive nuclide

Radioisotope
Radioactive isotope

Radiation
Particles or waves with
sufficient energy to interact
with or cause ionization of the
atoms with which they interact

Jump to first page
Classification of Nuclear Particles

ged
r
ha
C

art
P

s
cle
i

alpha (), + 2 charge
Proton, +1 charge
Electron, -1 charge
beta ( -), -1 charge
positron ( +), + 1 charge
Jump to first page
Classification of Nuclear Particles

nc
U

ar
h

le s
tic
ar
dP
ge

Neutron

Gamma ray

X ray

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Charged Particle Interactions
alpha ()

e-

e-

e-

e-

e-

ionization
e-

e-

e-

e-

beta ( -)

e-

ionization

ee

e-

e-

positron ( )
Ionization
and
annihilation
radiation

e-

-

+

ee

-

e-

e-

annihilation radiation
0.511 MeV
ee-

e

-

e-

e+

annihilation radiation
0.511 MeV
Jump to first page
Uncharged Particle Interactions
photons

eeee-

recoil nuclei

fast neutron
recoil nuclei

thermal neutron

diffusion

recoil nuclei
elastic scattering
of nuclei and
production of
recoil nuclei

photon
Absorption with
(n,) reaction
Jump to first page
Important Radiation
Interactions in Matter
Production of Bremsstrahlung
Photon Interactions
Photoelectric Effect
Compton Effect
Pair Production
Positron Annihilation

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Bremsstrahlung
Radiation
Electrons are
deflected and
accelerated in the
Coulomb field of
the nucleus.

e-

Accelerated
electric
charges emit
electromagnetic
waves (X-rays)
e-

e-

Jump to first page
Photon Interactions Photoelectric Effect

eJump to first page
Photon Interactions Compton Effect

eJump to first page
Photon Interactions –
Pair Production

e+

e-

Jump to first page
Photon Interactions –
Positron Annihilation

e+
e-

e-

e+
Jump to first page
Important Equations
Alpha Particle Range
Beta Particle Range
Proton Range
Photon Absorption
Neutron Absorption

Jump to first page
Alpha Particle Range

Rα = 0.318 E

3/ 2

Where:
Rα =

range in cm of air at 1
atm and 15oC
E =
energy in MeV

Note…this is an empirically derived
equation, the units don’t “work out”
Jump to first page
pes
: Ty s
bar tion
ide ua
S eq Dimensionally correct
of
Internally consistent
May be physics based
May include empirically derived

Example:
Velocity (m/s) = distance (m) / time (t)
Units “work out”

Examples
Radiation attenuation equations
Radioactive decay
Jump to first page
pes
: Ty s
bar tion
ide ua
S eq
Empirically derived
f
o
Experimental method of science
applied to the creation of equations.
Hypotheses generated to test theory
Data collected and analyzed.
Patterns extracted to describe
observed behavior
Units may not “work out”

Examples
Many “rules of thumb”
Range equations
Jump to first page
Beta Particle Range

Rβ = 412 E

1.265 − 0.0954 ln E

For particles 0.01<E<2.5 MeV
Where
Rβ =

range expressed in mg/cm2

E =

maximum energy in MeV

Note…this is also an empirically
derived equation, the units don’t
“work out”
Jump to first page
Proton Range
1.8

Rp

 E 
=

 9 .3 
Where
Rp =
E =

range expressed in
meters of air
energy in MeV (few MeV to 200
MeV)

Note…this is also an empirically
derived equation, the units don’t “work
out”
Jump to first page
The “one-size fits all”
equation
N = N0e

−λ t

Activity decay equation

I = I0e

−µ x

Atom decay equation

A = A0 e

−λ t

Photon attenuation equation

And many more….
Jump to first page
I=

Photon Absorption
− µx
I 0e
Where
I0 is the original exposure rate or beam
fluence or flux
I is the attenuated exopsure rate,
fluence or flux
µ is the linear absorption coefficeint
(cm-1)
x is the thickness of the absorber
e is the base of the natural logarithm
(2.718..)
Jump to first page
Neutron Absorption

I = I 0e

−σNx

Where

= I 0e

− Σx

I0 is the original neutron intensity
I is the attenuated neutron intensity
N is the number of atoms per cm3 in the
absorbing material
σ is the cross section of the abosrber
(capture coefficient (cm2)
x is the thickness of the absorber (cm)
e is the base of the natural logarithm
(2.718..)
Σ is the macroscopic cross section of the
absorber
Jump to first page
Behavior of Exponential Functions
Linear plot
N0

Semi-log plot
ln (N0)

N

ln N
t, x, or Z

t, x, or Z

Jump to first page
The Chart of the Nuclides
Still available
See Jean Robinson, NE Office

A portable resource
Known elements
Stable and radioactive forms

Periodic table
Brief description of nuclear
properties
Conversion tables!
Jump to first page
Chart of the Nuclides

Jump to first page
Chart Information

Jump to first page
Chart Information, cont’d

Jump to first page
Chart Information,
cont’d

Jump to first page
Chart Information,
cont’d

Jump to first page
Summary
Basic constituents of the atom
Defined and give an examples of
nuclear terms
Described major radiation
interactions in matter
Listed equations to describe
radiation interactions
Layout of the Chart of the
Nuclides
Jump to first page

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Lecture 1-The Nature of Radiation

  • 1. The Nature of Radiation January 10, 2001 Jump to first page
  • 2. Learning Objectives Know basic constituents of the atom Define and give an examples of: Isotopes Nuclides Radionuclides Radioisotopes Radiations Know major radiation interactions in matter Become familiar with and use equations to describe radiation interactions Jump to first page
  • 3. Learning Objectives List charged and uncharged particles Write the equation that describes how uncharged particles are attenuated Describe/draw an image of how uncharged particles penetrate into matter Calculate the: Range of an alpha particle in air Range of a beta particle in a known material Attenuation of a photon beam Attenuation of a neutron beam Jump to first page
  • 4. Basic Nuclear Particles Atom: consists of protons, neutrons & electrons Proton, mass = 1.007277 amu Neutron, mass = 1.008665 amu Electron, mass = 0.000549 amu Jump to first page
  • 5. Basic Nuclear Particles Beta ( -), mass = 0.000549 amu Positron ( +), mass = 0.000549 amu Alpha (), mass = ~4 amu Gamma ray, no mass X ray, no mass Jump to first page
  • 6. b er num ass N M + =Z A Z Nuclear Terms XN At nu om m ic be r ron t eu ber N m nu Nucleons Protons and neutrons Nuclide Species of atom defined by Z and A 1 H, 238U, 2H are all nuclides Isotopes Nuclides of same element (Z), different number of neutrons (N) 1 H, 2H, 3H are isotopes of H Isotones Nuclides with same number of neutrons 206 Pb and 204Hg Jump to first page
  • 7. b er num ass N M + =Z A Z Nuclear Terms, continued XN At nu om m ic be r ron t eu ber N m nu Radionuclide Radioactive nuclide Radioisotope Radioactive isotope Radiation Particles or waves with sufficient energy to interact with or cause ionization of the atoms with which they interact Jump to first page
  • 8. Classification of Nuclear Particles ged r ha C art P s cle i alpha (), + 2 charge Proton, +1 charge Electron, -1 charge beta ( -), -1 charge positron ( +), + 1 charge Jump to first page
  • 9. Classification of Nuclear Particles nc U ar h le s tic ar dP ge Neutron Gamma ray X ray Jump to first page
  • 10. Charged Particle Interactions alpha () e- e- e- e- e- ionization e- e- e- e- beta ( -) e- ionization ee e- e- positron ( ) Ionization and annihilation radiation e- - + ee - e- e- annihilation radiation 0.511 MeV ee- e - e- e+ annihilation radiation 0.511 MeV Jump to first page
  • 11. Uncharged Particle Interactions photons eeee- recoil nuclei fast neutron recoil nuclei thermal neutron diffusion recoil nuclei elastic scattering of nuclei and production of recoil nuclei photon Absorption with (n,) reaction Jump to first page
  • 12. Important Radiation Interactions in Matter Production of Bremsstrahlung Photon Interactions Photoelectric Effect Compton Effect Pair Production Positron Annihilation Jump to first page
  • 13. Bremsstrahlung Radiation Electrons are deflected and accelerated in the Coulomb field of the nucleus. e- Accelerated electric charges emit electromagnetic waves (X-rays) e- e- Jump to first page
  • 14. Photon Interactions Photoelectric Effect eJump to first page
  • 15. Photon Interactions Compton Effect eJump to first page
  • 16. Photon Interactions – Pair Production e+ e- Jump to first page
  • 17. Photon Interactions – Positron Annihilation e+ e- e- e+ Jump to first page
  • 18. Important Equations Alpha Particle Range Beta Particle Range Proton Range Photon Absorption Neutron Absorption Jump to first page
  • 19. Alpha Particle Range Rα = 0.318 E 3/ 2 Where: Rα = range in cm of air at 1 atm and 15oC E = energy in MeV Note…this is an empirically derived equation, the units don’t “work out” Jump to first page
  • 20. pes : Ty s bar tion ide ua S eq Dimensionally correct of Internally consistent May be physics based May include empirically derived Example: Velocity (m/s) = distance (m) / time (t) Units “work out” Examples Radiation attenuation equations Radioactive decay Jump to first page
  • 21. pes : Ty s bar tion ide ua S eq Empirically derived f o Experimental method of science applied to the creation of equations. Hypotheses generated to test theory Data collected and analyzed. Patterns extracted to describe observed behavior Units may not “work out” Examples Many “rules of thumb” Range equations Jump to first page
  • 22. Beta Particle Range Rβ = 412 E 1.265 − 0.0954 ln E For particles 0.01<E<2.5 MeV Where Rβ = range expressed in mg/cm2 E = maximum energy in MeV Note…this is also an empirically derived equation, the units don’t “work out” Jump to first page
  • 23. Proton Range 1.8 Rp  E  =   9 .3  Where Rp = E = range expressed in meters of air energy in MeV (few MeV to 200 MeV) Note…this is also an empirically derived equation, the units don’t “work out” Jump to first page
  • 24. The “one-size fits all” equation N = N0e −λ t Activity decay equation I = I0e −µ x Atom decay equation A = A0 e −λ t Photon attenuation equation And many more…. Jump to first page
  • 25. I= Photon Absorption − µx I 0e Where I0 is the original exposure rate or beam fluence or flux I is the attenuated exopsure rate, fluence or flux µ is the linear absorption coefficeint (cm-1) x is the thickness of the absorber e is the base of the natural logarithm (2.718..) Jump to first page
  • 26. Neutron Absorption I = I 0e −σNx Where = I 0e − Σx I0 is the original neutron intensity I is the attenuated neutron intensity N is the number of atoms per cm3 in the absorbing material σ is the cross section of the abosrber (capture coefficient (cm2) x is the thickness of the absorber (cm) e is the base of the natural logarithm (2.718..) Σ is the macroscopic cross section of the absorber Jump to first page
  • 27. Behavior of Exponential Functions Linear plot N0 Semi-log plot ln (N0) N ln N t, x, or Z t, x, or Z Jump to first page
  • 28. The Chart of the Nuclides Still available See Jean Robinson, NE Office A portable resource Known elements Stable and radioactive forms Periodic table Brief description of nuclear properties Conversion tables! Jump to first page
  • 29. Chart of the Nuclides Jump to first page
  • 34. Summary Basic constituents of the atom Defined and give an examples of nuclear terms Described major radiation interactions in matter Listed equations to describe radiation interactions Layout of the Chart of the Nuclides Jump to first page