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Radiation Units
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
An Introduction to Radiation Protection
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Introduction
• Ionization process
• Radiation Dose
– Exposure
– Air KERMA
– Absorbed Dose
– Equivalent Dose
– Effective Dose
– Collective Effective Dose
• Flux
• Operational quantities
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Absorption of Energy
• Energy from a heat source can be absorbed by matter
and increase its temperature
• Nuclear radiation can transfer energy from a radiation
source to an absorbing medium
• The body can detect harmful levels of heat, but it can
not detect absorbed energy from nuclear radiation –
even in lethal quantities
• Nuclear radiation differs from heat and other types of
radiation in that it has sufficiently high energy to cause
ionisation
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
• Removal of an orbital electron from an
atom gives
– an electron
– remainder of atom (an ion)
positively charged
• This is an ion pair
• The energy needed to remove
the electron is the ionization energy
Ionisation
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An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
• Ionisation energy is supplied by the absorption
of radiation energy in the medium
• The radiation loses its energy to the medium in
the process
• Alpha, beta, gamma and X-ray radiation is
termed ionising radiation
• Ionization in a gas provides a means of
detecting radiation
Ionisation
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Exposure
The quantity of electronic
charge in coulombs (C)
produced by ionization per
kilogram (kg) of AIR
(either the positive or negative charge – not both)
SI units are C / kg
1 Roentgen = 2.58 x 10 - 4 C / kg
Wilhelm Roentgen
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
KERMA
• Kinetic Energy Released per unit MAss
• Units are: Joules per kilogram (J kg-1)
• Energy deposited (NOT absorbed) in unit
mass of a material (e.g. air) by exposure to
radiation
• Only different to Absorbed Dose at high keVs
(more than 200 keV) due to:
• Long range of secondary electrons
• Bremsstrahlung
• Air KERMA is replacing exposure as standard
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Absorbed Dose (D)
Energy imparted to matter in a small volume (J)
Mass of the small volume (kg)
• SI unit is the gray (Gy)
• 1 Gy = 1 Joule of energy
absorbed in 1 kg of matter =
1 J/kg
Conversion factor: 1 gray  100 rads
Hal Gray
Courtesy of the LH Gray Trust
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Organ or Tissue Dose
DT
Energy imparted to organ or tissue
Mass of the organ or tissue
=
More useful for radiation protection purposes
Units: Gray (Gy)
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Converting Dose in Air to
Dose in Any Other Tissue
Ratio of mass absorption
coefficients
Values for mass absorption coefficients
can be found in reference books
Dose in Tissue
Dose in Air
=
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Linear Energy Transfer (LET)
• Rate at which energy transferred from
radiation beam to the medium
• Density of ionisation along the track of
radiation
• High LET radiations are more easily stopped
Radiation LET (keV per m)
1 MeV gamma rays 0.5
100 keV x-rays 6
20 keV betas 10
5 MeV alphas 50
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Relative Biological Effectiveness
(RBE)
• Different types of radiation can be more
or less damaging
Dose of 220 kV x-rays
Dose of radiation under test
RBE =
• Both doses cause same biological end
point e.g. 10% cell survival
• RBE increases with LET
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Radiation Weighting Factors
(from ICRP103)
Set from a study of RBE and using organ dose concept
* Depending on energy
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Equivalent Dose (H)
Absorbed Dose Radiation Weighting
(in Grays) Factor (wR)
H =
Strictly speaking this is
the absorbed dose averaged
over the organ or tissue
Total HT =  wR x DT,R
where DT,R is the average absorbed dose to
the organ for a particular radiation type
Dimensionless
quantity
x
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Equivalent Dose (H)
Rolf Sievert – 1929
(from Karolinska Institutet –
http://ki.se)
Unit:
Sievert (Sv)
Still dimensionally
J / kg as wR is just
a number
Conversion factor: 1 Sv  100 rem
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Example No. 1
• What is the total equivalent dose to the
organ (HT) if the absorbed dose to the lungs
is 0.2 mGy from x-rays?
HT = Absorbed Dose x radiation weighting factor
Radiation weighting factor for x-rays (wR) = 1 (for any energy)
HT = 0.2 x wR = 0.2 x 1 = 0.2 mSv
Note that the units change from mGy to mSv
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Example No. 2
• What is the total equivalent dose to the
organ (HT) if the absorbed dose to the lungs
is 0.2 mGy from x-rays and 0.01 mGy from
alpha radiation?
HT = ∑Absorbed Dose x radiation weighting factor
Radiation weighting factor for x-rays (WR) = 1 (for any energy)
Radiation weighting factor for alpha (WR) = 20 (for any energy)
HT = 0.2 x 1 + 0.01 x 20 = 0.4 mSv
Note that the units change from mGy to mSv
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Effective Dose (E)
• Accounts for uneven irradiation of the body and
represents overall risk from whole body
exposure
E = wT X HT
HT = Equivalent dose to tissue or organ ‘T’
wT = tissue weighting factor
• Tissue weighting factors represent risks of
detrimental radiation effects to different organs
or tissue
T

An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Tissue Weighting Factors
(from ICRP103)
Organ wT for organ
Gonads 0.08
Red bone marrow, colon,
lung, stomach, breast
0.12
Bladder, liver, oesophagus,
thyroid
0.04
Skin, bone surface, brain,
salivary glands
0.01
Remainder (in total) 0.12
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Example No. 3
• A patient receives the following equivalent (organ)
doses as a result of a chest PA x-radiograph:
Bone Marrow 0.01 mSv (WT=0.12)
Thyroid 0.05 mSv (WT=0.04)
Lungs 0.17 mSv (WT=0.12)
Breast 0.09 mSv (WT=0.08)
• What is the effective dose resulting from this
examination?
E = ∑ wT x HT
ET = 0.01 x 0.12 + 0.05 x 0.04 + 0.17 x 0.12 + 0.09 x 0.08
= 0.0308 mSv or 30.8 µSv
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Dose Rate
• The Gray and Sievert are units expressing an
amount of radiation received over some period of
time
• In controlling hazards, it is usually necessary to
know the rate at which the radiation is being
received – the DOSE RATE
Dose = Dose Rate x Time
• For example: if someone works in an area for 2 hours
and receives a dose of 4 mSv, then the doserate in that
areas will be 2 mSv/h
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Flux
• The number of particles or photons crossing an
area of 1 square metre in 1 second
• This is strictly ‘fluence rate’, but is commonly
referred to as FLUX (denoted by )
A point source emits neutrons at the rate of Q per second
Neutrons are being emitted uniformly in all directions
So the flux at distance r is the number of neutrons emitted per second
divided by the surface area of the sphere of radius r
This area is 4r2 and so the flux  is:
 = Q / 4r2 neutrons per m2 per second
r
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Committed Equivalent Dose
HT(50) =
Equivalent dose summed
over a 50 year period
Note: 70 year period for children
Also: Committed Effective Dose
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Annual Limit of Intake (ALI)
The amount of radionuclide (in Bq) which
when taken into the body will result in:
Committed Effective Dose = Dose Limit (20mSv)
Radionuclide ALI (MBq)
Inhalation Ingestion
Sodium-22 10 7
Iodine-131 1 0.8
Also depends on chemical compound
Annual Occupational Effective Dose in UK
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Collective Dose
• If a group of the population is exposed to
radiation then the collective effective dose is:
S = Em x N
where:
Em = mean effective dose to individual in group
N = number of individuals in the group
Units: man Sieverts (man Sv) or
person Sieverts (person Sv)
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Operational Quantities
For individual monitoring (ICRP 103):
• Individual Dose Equivalent, Penetrating – Hp(d)
The dose equivalent in soft tissue below a specified point on the
body at depth, d (mm), that is appropriate for strongly penetrating
radiation
• Individual Dose Equivalent, Superficial – Hs(d)
The dose equivalent in soft tissue below a specified point on the
body at depth, d (mm), that is appropriate for weakly penetrating
radiation
Personal Dose Equivalent – Hp(d)
where d = 10mm for strongly penetrating
d = 0.07mm for weakly penetrating
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Summary 1
• Absorbed dose (D): energy absorbed in a medium by any
type of ionizing radiation. Unit: Gray 1 Gy  1 J/kg
• Equivalent dose (H): obtained by multiplying the ‘D’ by the
radiation weighting factor for the particular type of radiation.
Unit: Sievert (Sv)
• Radiation weighting factor, wR: measure of the ability of a
particular type of radiation to cause biological damage
wR  1 for , X and , 5 for protons and 20 for  particles
• Effective dose (E): obtained by multiplying the ‘H’ to each
exposed organ by its tissue weighting factor and then
summing over all of the organs
• Tissue weighting factor, wT: reflects the radio-sensitivity of a
particular tissue or organ
An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education
Summary 2
• Dose  dose rate  time
• Flux: from point source  Q/4r2
• Committed effective dose: effective dose for
internal irradiation
• Annual Limit of Intake (ALI): amount of
radionuclide (in Bq) which when taken into the
body will result in 20 mSv committed effective
dose
• Collective Dose: dose to a particular cohort of
persons. Unit: man Sv

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Chapter-1-Radiation-units.ppt

  • 1. Radiation Units An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education An Introduction to Radiation Protection
  • 2. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Introduction • Ionization process • Radiation Dose – Exposure – Air KERMA – Absorbed Dose – Equivalent Dose – Effective Dose – Collective Effective Dose • Flux • Operational quantities
  • 3. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Absorption of Energy • Energy from a heat source can be absorbed by matter and increase its temperature • Nuclear radiation can transfer energy from a radiation source to an absorbing medium • The body can detect harmful levels of heat, but it can not detect absorbed energy from nuclear radiation – even in lethal quantities • Nuclear radiation differs from heat and other types of radiation in that it has sufficiently high energy to cause ionisation
  • 4. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education • Removal of an orbital electron from an atom gives – an electron – remainder of atom (an ion) positively charged • This is an ion pair • The energy needed to remove the electron is the ionization energy Ionisation - + + + + + + + - - - - - - - - - - - - -
  • 5. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education • Ionisation energy is supplied by the absorption of radiation energy in the medium • The radiation loses its energy to the medium in the process • Alpha, beta, gamma and X-ray radiation is termed ionising radiation • Ionization in a gas provides a means of detecting radiation Ionisation
  • 6. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Exposure The quantity of electronic charge in coulombs (C) produced by ionization per kilogram (kg) of AIR (either the positive or negative charge – not both) SI units are C / kg 1 Roentgen = 2.58 x 10 - 4 C / kg Wilhelm Roentgen
  • 7. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education KERMA • Kinetic Energy Released per unit MAss • Units are: Joules per kilogram (J kg-1) • Energy deposited (NOT absorbed) in unit mass of a material (e.g. air) by exposure to radiation • Only different to Absorbed Dose at high keVs (more than 200 keV) due to: • Long range of secondary electrons • Bremsstrahlung • Air KERMA is replacing exposure as standard
  • 8. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Absorbed Dose (D) Energy imparted to matter in a small volume (J) Mass of the small volume (kg) • SI unit is the gray (Gy) • 1 Gy = 1 Joule of energy absorbed in 1 kg of matter = 1 J/kg Conversion factor: 1 gray  100 rads Hal Gray Courtesy of the LH Gray Trust
  • 9. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Organ or Tissue Dose DT Energy imparted to organ or tissue Mass of the organ or tissue = More useful for radiation protection purposes Units: Gray (Gy)
  • 10. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Converting Dose in Air to Dose in Any Other Tissue Ratio of mass absorption coefficients Values for mass absorption coefficients can be found in reference books Dose in Tissue Dose in Air =
  • 11. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Linear Energy Transfer (LET) • Rate at which energy transferred from radiation beam to the medium • Density of ionisation along the track of radiation • High LET radiations are more easily stopped Radiation LET (keV per m) 1 MeV gamma rays 0.5 100 keV x-rays 6 20 keV betas 10 5 MeV alphas 50
  • 12. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Relative Biological Effectiveness (RBE) • Different types of radiation can be more or less damaging Dose of 220 kV x-rays Dose of radiation under test RBE = • Both doses cause same biological end point e.g. 10% cell survival • RBE increases with LET
  • 13. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Radiation Weighting Factors (from ICRP103) Set from a study of RBE and using organ dose concept * Depending on energy
  • 14. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Equivalent Dose (H) Absorbed Dose Radiation Weighting (in Grays) Factor (wR) H = Strictly speaking this is the absorbed dose averaged over the organ or tissue Total HT =  wR x DT,R where DT,R is the average absorbed dose to the organ for a particular radiation type Dimensionless quantity x
  • 15. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Equivalent Dose (H) Rolf Sievert – 1929 (from Karolinska Institutet – http://ki.se) Unit: Sievert (Sv) Still dimensionally J / kg as wR is just a number Conversion factor: 1 Sv  100 rem
  • 16. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Example No. 1 • What is the total equivalent dose to the organ (HT) if the absorbed dose to the lungs is 0.2 mGy from x-rays? HT = Absorbed Dose x radiation weighting factor Radiation weighting factor for x-rays (wR) = 1 (for any energy) HT = 0.2 x wR = 0.2 x 1 = 0.2 mSv Note that the units change from mGy to mSv
  • 17. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Example No. 2 • What is the total equivalent dose to the organ (HT) if the absorbed dose to the lungs is 0.2 mGy from x-rays and 0.01 mGy from alpha radiation? HT = ∑Absorbed Dose x radiation weighting factor Radiation weighting factor for x-rays (WR) = 1 (for any energy) Radiation weighting factor for alpha (WR) = 20 (for any energy) HT = 0.2 x 1 + 0.01 x 20 = 0.4 mSv Note that the units change from mGy to mSv
  • 18. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Effective Dose (E) • Accounts for uneven irradiation of the body and represents overall risk from whole body exposure E = wT X HT HT = Equivalent dose to tissue or organ ‘T’ wT = tissue weighting factor • Tissue weighting factors represent risks of detrimental radiation effects to different organs or tissue T 
  • 19. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Tissue Weighting Factors (from ICRP103) Organ wT for organ Gonads 0.08 Red bone marrow, colon, lung, stomach, breast 0.12 Bladder, liver, oesophagus, thyroid 0.04 Skin, bone surface, brain, salivary glands 0.01 Remainder (in total) 0.12
  • 20. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Example No. 3 • A patient receives the following equivalent (organ) doses as a result of a chest PA x-radiograph: Bone Marrow 0.01 mSv (WT=0.12) Thyroid 0.05 mSv (WT=0.04) Lungs 0.17 mSv (WT=0.12) Breast 0.09 mSv (WT=0.08) • What is the effective dose resulting from this examination? E = ∑ wT x HT ET = 0.01 x 0.12 + 0.05 x 0.04 + 0.17 x 0.12 + 0.09 x 0.08 = 0.0308 mSv or 30.8 µSv
  • 21. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Dose Rate • The Gray and Sievert are units expressing an amount of radiation received over some period of time • In controlling hazards, it is usually necessary to know the rate at which the radiation is being received – the DOSE RATE Dose = Dose Rate x Time • For example: if someone works in an area for 2 hours and receives a dose of 4 mSv, then the doserate in that areas will be 2 mSv/h
  • 22. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Flux • The number of particles or photons crossing an area of 1 square metre in 1 second • This is strictly ‘fluence rate’, but is commonly referred to as FLUX (denoted by ) A point source emits neutrons at the rate of Q per second Neutrons are being emitted uniformly in all directions So the flux at distance r is the number of neutrons emitted per second divided by the surface area of the sphere of radius r This area is 4r2 and so the flux  is:  = Q / 4r2 neutrons per m2 per second r
  • 23. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Committed Equivalent Dose HT(50) = Equivalent dose summed over a 50 year period Note: 70 year period for children Also: Committed Effective Dose
  • 24. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Annual Limit of Intake (ALI) The amount of radionuclide (in Bq) which when taken into the body will result in: Committed Effective Dose = Dose Limit (20mSv) Radionuclide ALI (MBq) Inhalation Ingestion Sodium-22 10 7 Iodine-131 1 0.8 Also depends on chemical compound Annual Occupational Effective Dose in UK
  • 25. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Collective Dose • If a group of the population is exposed to radiation then the collective effective dose is: S = Em x N where: Em = mean effective dose to individual in group N = number of individuals in the group Units: man Sieverts (man Sv) or person Sieverts (person Sv)
  • 26. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Operational Quantities For individual monitoring (ICRP 103): • Individual Dose Equivalent, Penetrating – Hp(d) The dose equivalent in soft tissue below a specified point on the body at depth, d (mm), that is appropriate for strongly penetrating radiation • Individual Dose Equivalent, Superficial – Hs(d) The dose equivalent in soft tissue below a specified point on the body at depth, d (mm), that is appropriate for weakly penetrating radiation Personal Dose Equivalent – Hp(d) where d = 10mm for strongly penetrating d = 0.07mm for weakly penetrating
  • 27. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Summary 1 • Absorbed dose (D): energy absorbed in a medium by any type of ionizing radiation. Unit: Gray 1 Gy  1 J/kg • Equivalent dose (H): obtained by multiplying the ‘D’ by the radiation weighting factor for the particular type of radiation. Unit: Sievert (Sv) • Radiation weighting factor, wR: measure of the ability of a particular type of radiation to cause biological damage wR  1 for , X and , 5 for protons and 20 for  particles • Effective dose (E): obtained by multiplying the ‘H’ to each exposed organ by its tissue weighting factor and then summing over all of the organs • Tissue weighting factor, wT: reflects the radio-sensitivity of a particular tissue or organ
  • 28. An Introduction to Radiation Protection 6e © 2012 Martin, Harbison, Beach, Cole/Hodder Education Summary 2 • Dose  dose rate  time • Flux: from point source  Q/4r2 • Committed effective dose: effective dose for internal irradiation • Annual Limit of Intake (ALI): amount of radionuclide (in Bq) which when taken into the body will result in 20 mSv committed effective dose • Collective Dose: dose to a particular cohort of persons. Unit: man Sv