2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
Radiol ogical Prot ecti o n
For practical purpose s of assessing and regul ating the hazards of ionizing radiation to workers and the general population, weighting factors are u s ed.
A radiation weighting factor is an estimate of the effectiveness per unit dose of the given radi ation relative a to low-LET standard.
Gy (joule/kg) can be used for any type of radiation.
Gy does not describe the biological effects of the different radiations.
Weighting factors are dim e nsionless m u ltip licative factors used to convert physical dose (Gy) to equivalent dose (Sv) ; i.e., t o place bi ological effects from exposure to different t ypes of radia tion on a common scale.
A weighting factor is not an RBE.
Weighting factors represent a conser vative judgment of the envelope of experimental RBEs of practical re levance to low-level human exposure.
Radiation Weighting factors
Radiation Type and Energy Range |
Radiation Weighting Factor, W R |
X and γ r a ys, all ener gies |
1 |
Electrons posit rons a nd m uons, all energies |
1 |
Neutrons: |
|
< 10 keV |
5 |
10 keV to 100 keV |
10 |
> 100 keV to 2 MeV |
20 |
> 2 MeV to 20 MeV |
10 |
> 20 MeV |
5 |
Protons, (other than recoil protons) and energy > 2 MeV, |
2-5 |
α particles, fission fragm e nts, heavy nuclei |
20 |
[ICRU 60, 1991]
2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
For radiati on types and energies not listed in the Table above, the following relationshi ps are used to cal cul a te a weig hting factor.
[Image removed due to copyright considerations]
[ICRP, 199 1 ]
Q = 1.0 L < 10 keV/µm
Q = 0.32 L – 2.2 10 ≤ L ≤ 100 keV/µm
Q = 300/(L) 1/2 L ≥ 100 keV/µm L = unrestricted LET in water (keV/ µm )
2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
Radiation Typica l LE T values
1.2 MeV 60 Co gamma 0.3 keV/ µ m
250 kVp x rays 2 keV/ µ m
10 MeV protons 4.7 keV/ µ m
150 MeV protons 0.5 keV/ µ m
14 MeV neutrons 12 keV/ µ m Heavy charged par ticles 100-2000 keV/ µ m
2.5 MeV alpha particles 166 keV/ µ m
2 GeV Fe ions 1,000 keV/ µ m
Tissu e weightin g factors |
|
Tissue |
Tissue Weighti ng Factor, W T |
Gonads |
0.20 |
Red bone marrow |
0.12 |
C o l o n |
0 . 1 2 |
Lung |
0.12 |
Stom ach |
0.12 |
Bladder |
0.05 |
B r e a s t |
0 . 0 5 |
Liver |
0.05 |
Esophagus |
0.05 |
Thyroid |
0.05 |
S k i n |
0 . 0 1 |
Bone surfaces |
0.01 |
Remainder |
0.05 |
(ICRU 60, 1991; NCRP 116, 1993)
2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
Dosimetric Quantities
Quantity |
Definition |
New Units |
Old Units |
Exposure |
Charge per unit m a ss of air 1 R = 2.58 x 10 -4 C/kg |
- - - |
R o e n t g e n (R) |
Absorbed dose to tissue T from radiation of type R D T,R |
Energy of radiation R absorbed per unit mass of tissue T 1 rad = 100 ergs/g 1 Gy = 1 joule/kg 1 Gy = 100 rads |
gray (Gy) |
Radiation absorbed dose (rad) |
Equivalent dose to tissue T H T |
Sum of contributions of dose to T from different radiation types, each m u ltiplied by the radiation weighting factor (w R ) H T = Σ R w R D T,R |
Sievert (Sv) |
Roentgen equivalent m a n (rem ) |
Effective Dose E |
Sum of equivalent doses to organs and tissues exposed, each m u ltiplied by the appropriate tissue weighting factor (w T ) E = Σ T w T H T |
Sievert (Sv) |
rem |
Committed Equivalent Dose: for radionuclides incorp orated into the body, the integrated dose over time. 50 years fo r occupational exposure, 70 years for mem b ers of the general public.
Committed Effective Dose: effective dose integrated over 50 or 70 years.
2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
Sources of Radiation Exposure
Other 1%: Occupat i onal; Fallout; Nuclear Fuel Cy cle; Miscellaneous
Annual average in U.S.
3.6 mSv
Annual estimated average effective dose equivalent received by a member of the population of the United States .
Source |
Average a nnual effective dose |
|
( µ S v ) |
( m r e m ) |
|
Inhaled (Radon and Decay Products) |
2000 |
200 |
Other Internally Deposited Radionuclides |
3 9 0 |
3 9 |
Terrestrial Radiation |
280 |
28 |
Cosm ic Radiation |
270 |
27 |
Cosm ogenic Radioactivity |
10 |
1 |
Rounded total from natural source |
3000 |
300 |
Rounded total from artificial Sources |
600 |
60 |
T o t a l |
3 6 0 0 |
3 6 0 |
2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
Radioactivity in Natu re
Our world is radioactive and has been si nce it was created. Over 60 radionuclides can be found in nature, and they can be placed in three general categories:
Primordial - been around si nce the creation of the Earth Singl y-occurring
Chain or series
Cosmogenic - formed as a result of cosm ic ray interactions
Primordial radionuclides
When the earth was first form ed a relativ ely large num b er of isotopes would have been radioactive.
Those with half-live s of less than about 10 8 years would by now have decayed into stable nuclides.
The progeny or decay products of the l ong-lived radionuclides are also in this heading.
Primordial nuclide examples
Nuclide |
Half-life (years) |
Natural Activity |
Uranium 235 |
7.04 x 10 8 |
0.72 % of all natural uranium |
Uranium 238 |
4.47 x 10 9 |
99.27 % of all natural uran ium ; 0.5 to 4.7 ppm total uranium in the co mm on rock types |
Thorium 232 |
1.41 x 10 10 |
1.6 to 20 ppm in the comm on rock types with a crustal average of 10.7 ppm |
Radium 226 |
1.60 x 10 3 |
0.42 pCi/g (16 Bq/kg) in limestone and 1.3 pCi/g (48 Bq/kg) in igneous rock |
Radon 222 |
3.82 days |
Noble Gas; annual average ai r concentrations range in the US from 0.016 pCi/L (0.6 Bq/m 3 ) to 0.75 pCi/L (28 Bq/m 3 ) |
Potassium 40 |
1.28 x 10 9 |
Widespread, e.g., soil ~ 1-30 pCi/g (0.037-1.1 Bq/g) |
2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
Natural Radioactivity in soil
How m u ch natural radioactivity is found in an area 1 square m i le, by 1 foot deep (total volume ~ 7.9 x 10 5 m 3 )?
Activity levels vary greatly depending on soil type , m i neral make-up and density (~1.58 g/cm 3 ). This table represents calculations using typical num bers.
Natural Radioactivity by the Mile
Nuclide |
Activity used in calculation |
Mass of Nuclide |
Activity |
Uranium |
0.7 pCi/gm (25 Bq/kg) |
2,200 kg |
0.8 curies (31 GBq) |
Thorium |
1.1 pCi/g (40 Bq/kg) |
12,000 kg |
1.4 curies (52 GBq) |
Potassium 40 |
11 pCi/g (400 Bq/kg) |
2000 kg |
13 curies (500 GBq) |
Radium |
1.3 pCi/g (48 Bq/kg) |
1.7 g |
1.7 curies (63 GBq) |
Radon |
0.17 pCi/gm (10 kBq/m 3 ) soil |
11 µ g |
0.2 curies (7.4 GBq) |
2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
“ Single” primordial nuclides
At least 22 naturally occurring single or nor-series prim ordial radionuclides have been identified.
Most of these have such long hal f-lives, small isotopic and elemental abundances and sm all biological uptake and concentration that they give little environm ental dose.
The m o st im portant is potassium -40. Potassium is a metal with 3 natural isotopes, 39, 40 and 41. Only 40 K is radioactive and it has a half life of 1.26 x 10 9 year s.
Chain or series-decaying primordial radionuclides
Radioactiv e series r e fers to any of four independent sets of unst a ble heavy atom ic nuclei that decay through a sequence of alpha and beta decays until a stable nucleus is achieved.
Three of t h e sets, th e thorium series, uranium series, and actinium series, called natural or classical series, are h eaded by naturally occurring species of heavy unstable nuclei that have half-lives co mp arable to t h e age of the element s .
Im portant point s about series-decaying radionuclides
3 main series
the fourth (neptuni um ) exists only w ith man-m a de isotopes, but probably existed early in the life of the earth
the 3 m a in series decay schemes all produce radon (but prim ary radon source, the longest half-life, is the uranium series).
Series na me |
Begins |
T 1/2 |
E n d s |
G a s (T 1/2 ) |
Thorium |
232 Th |
1.4 x 10 10 yr |
208 Pb |
220 Rn (55.6 sec) thoron |
Uranium |
238 U |
4.5 x 10 9 yr |
206 Pb |
222 Rn (3.8 days) radon |
Actinium |
235 U |
7.1 x 10 8 yr |
207 Pb |
219 Rn (4.0 sec) actinon |
2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
Uranium 238 decay scheme.
Branching occurs when the radionuclid e is unstabl e to both alpha and beta decay, for example, 21 8 Po.
Gamma em ission occurs in m o st steps.
[Image removed due to copyright considerations]
2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
Major characteristics of the radionuc lides that comprise the natural decay series for 232 Th, 235 U, and 238 U |
||||||||
Natural 232 Th decay series |
Natural 235 U decay s e ries |
Natural 238 U decay s e ries |
||||||
Nu clid e |
H a l f - l i f e b |
Princi ple m ode of decay c |
Nu clid e |
H a l f - l i f e b |
Princi ple m ode of decay c |
Nu clid e |
H a l f - l i f e b |
Princi ple m ode of decay c |
232 T h |
1 . 4 E+ 1 0 y |
|
235 U |
7 . 0 E+ 0 8 y |
|
238 U |
4 . 5 E+ 0 9 y |
|
228 R a |
5 . 75 y |
|
231 T h |
1 . 06 d |
|
234 T h |
2 4 .1 0 d |
|
228 A c |
6 . 13 h |
|
231 P a |
3 . 3 E+ 0 4 y |
|
234 P a |
1 . 17 m i n |
|
228 T h |
1 . 91 3 y |
|
227 A c |
2 . 2 E+ 0 1 y |
(1.4 %) |
234 U |
2 . 5 E+ 0 5 y |
|
( 9 8. 6 % ) |
||||||||
224 R a |
3 . 66 d |
|
227 T h |
1 8 .7 d |
|
230 T h |
7 . 5 E+ 0 4 y |
|
220 Rn |
55. 6 s |
|
223 F r |
2 1 .8 m i n |
|
226 R a |
1 . 6 E+ 0 3 y |
|
216 P o |
1 . 5 E –0 2 s |
|
223 R a |
1 1 .4 3 d |
|
222 Rn |
3. 8 5 d |
|
212 P b |
1 0 .6 4 h |
|
219 A t |
5 6 s |
|
218 P o |
3 . 1 m i n |
|
212 B i |
1 . 01 h |
(3 6% ) |
219 Rn |
3. 9 6 s |
|
218 At |
1 . 5 s |
|
(64 % ) |
||||||||
212 P o |
3 . 0 E –0 7 s |
|
215 B i |
7 . 6 m i n |
|
214 P b |
2 7 m i n |
|
208 Tl |
3 . 05 3 m i n |
|
215 P o |
1 . 8 E –0 3 s |
|
214 B i |
1 9 .9 m i n |
|
208 P b |
( s t a b l e ) |
( s t a b l e ) |
215 At |
1 . 0 E –0 7 s |
|
214 P o |
1 . 6 E –0 4 s |
|
211 P b |
3 6 .1 m i n |
|
210 Tl |
1 . 30 m i n |
|
|||
211 P o |
2 5 . 2 s |
|
210 P b |
2 2 . 6 y |
|
|||
211 B i |
2 . 14 m i n |
|
210 B i |
5 . 01 d |
|
|||
207 Tl |
4 . 77 m i n |
|
210 P o |
1 3 8. 4 d |
|
|||
207 P b |
( s t a b l e ) |
( s t a b l e ) |
206 H g |
8 . 2 m i n |
|
|||
206 Tl |
4 . 20 m i n |
|
||||||
206 P b |
( s t a b l e ) |
( s t a b l e ) |
b |
y–years; d–days; h–hours; m i n–m i nutes; and s–seconds. |
c |
–alpha decay; –negative beta decay; EC–el ectron capture; and IT–isom e ric transition (radioactive transition from one nuc lear isom er to another of lower energy). |
2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
Cosm ogenic Rad i ation
Cosmogenic Nuclid es
Nuclide |
Half-life |
Source |
Specific Activity |
C-14 |
5730 yr |
Cosm ic-ray interactions, 14 N(n,p) 14 C |
~15 Bq/g |
Tritium |
12.3 yr |
Cosm ic-ray interactions with N and O; spallation from cosm ic-ray s , 6 Li(n,alpha) 3 H |
1.2 x 10 -3 Bq/kg |
Be-7 |
53.28 days |
Cosm ic-ray interactions with N and O |
0.01 Bq/kg |
Som e other cosm ogenic radionuclides are 10 Be, 26 Al, 36 Cl, 80 Kr , 14 C, 32 Si, 39 Ar, 22 Na, 35 S, 37 Ar, 33 P, 32 P, 38 Mg, 24 Na, 38 S, 31 Si, 18 F, 39 Cl, 38 Cl, 34m Cl.
Track structure of a cosm ic ray collision in a nuclear em ulsion
2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
Variations in cosmic ray intensity at the earth’s surface are due to:
Tim e : sunspot cycles
Latitude: magnetic field lines
Altitude: attenuation in the upper atm o sp here
Dose at the surface from cosmic rays
[Image removed due to copyright considerations]
2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
Internal Radi ati o n
What makes a radionuclide biologically important?
Abundance (both elemental and isotopic)
Half-life
Decay scheme (emission type and energy)
Chemi cal state
Chem ical behavior i n the body
Does it co ncentrate?
Ultimate location
Rat e of ex cretion
How do the series radionuclid es contribute to our dose? Inhalation
Isotopes of radon (inert gas, but m a y decay in the lung)
Dust; e.g., our m a in source of uranium is due to resuspension of dust particles from the earth. Uranium is ubiquitous, a natu ral constituent of all rocks and soil.
Externally - gamma emission occurs in most decay steps.
Internally -Consum ption in food and drinking water
Natural Radioactivity in the body
Nuclide |
Total Mass of Nuclide |
Total Activity of Nuclide |
Daily Intake of Nuclides |
Uranium |
90 µ g |
30 pCi (1.1 Bq) |
1.9 µ g |
Thorium |
30 µ g |
3 pCi (0.11 Bq) |
3 µ g |
Potassium 40 |
17 m g |
120 nCi (4.4 kBq) |
0.39 m g |
Radium |
31 pg |
30 pCi (1.1 Bq) |
2.3 pg |
Carbon 14 |
95 µ g |
0 . 4 µ Ci (15 kBq) |
1.8 µ g |
Tritium |
0.06 pg |
0.6 nCi (23 Bq) |
0.003 pg |
Polonium |
0.2 pg |
1 nCi (37 Bq) |
~0.6 µ g |
It would be reasonable to assum e that all of the radionuclides found in your environm ent would exist in the body in some sm all am ount. The inte rnally deposited radion uclides contribute about 11% of the total annual dose.
2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
Uranium
Present in all rocks and soil, and t hus in both our food and in dust.
High concentrations in phospha te rocks (and thus in commercial fertilizers).
Absorbed by the skeleton which receives roughly 3 µ Sv/year from uranium .
Radium
Also present in all rocks and soils.
Food is a m o re im portant sourc e of intake
226 Ra and its daughter products (beginni ng with 222 Rn) contribute the major dose com ponents from naturally occurring internal em itters.
Dissolves readily, ch em ically sim i lar to calcium.
Absorbed from the soil by plants and passed up the food chain to hum ans
variations in Ra levels in soil lead to variations in Ra levels in food
80% of the total body Ra is in bone (~7mrem / year).
The rest is uniform ly distributed in soft tissue.
Thorium
Lots in dust but little is incorporated in food
Thorium is present in the highest c oncentrations in pulm onary lym ph nodes and lung, indicating t h at the principle source of exposure is due to inhalation of suspended soil particles.
Ultimately a bone seeker with a long residence time
Since it is very slowly rem oved from bone, concen tration increases with age.
Lead
Also a bone seeker, half-life in bone is ~ 10 4 days.
Polonium
Unlike other naturally occurring -em itters, 210 Po deposits in soft tissue not bone.
Two groups exist for which the dose from 210 Po is apt to be exceptionally high.
o Cigarette sm okers
o Residents of the nort h who subsist on caribou and reindeer.
Reindeer eat lichens t h at absorb tr ace el ements in the at mosphere ( 210 Po and 210 Pb). The 210 Po content of Lapps living in nort h ern Finland is ~12 times higher tha n the residents of southern Finla nd.
Liver dose in the Laplanders is 170 m r em /year com p ared to 15 m r em /year for those in the south.
2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
Doses from Medical Applications
2 2 .55 “Pri n c ip l e s of Rad i atio n In teraction s ”
Commercial Air Travel
Calculated cosmic ray doses to a p erson flying in subsonic and supersonic aircraft under normal sola r conditions
Route |
Subsonic flight at 36,000 ft (11 km) |
Supersonic flight at 62,000 (19 km ) |
||||
Flight duration (hrs) |
Dose per round trip |
Flight duration (hrs) |
Dose per round trip |
|||
( m r a d ) |
( µ G y ) |
( m r a d ) |
( µ G y ) |
|||
Los Angeles- Paris |
1 1 . 1 |
4 . 8 |
4 8 |
3 . 8 |
3 . 7 |
3 7 |
Chicago-Paris |
8 . 3 |
3 . 6 |
3 6 |
2 . 8 |
2 . 6 |
2 6 |
Ne w York -Paris |
7 . 4 |
3 . 1 |
3 1 |
2 . 6 |
2 . 4 |
2 4 |
Ne w York - London |
7 . 0 |
2 . 9 |
2 9 |
2 . 4 |
2 . 2 |
2 2 |
Los Angeles-New York |
5 . 2 |
1 . 9 |
1 9 |
1 . 9 |
1 . 3 |
1 3 |
Sydney-Acapulco |
1 7 . 4 |
4 . 4 |
4 4 |
6 . 2 |
2 . 1 |
2 1 |
Issues:
Shoul d airline people be considered ge neral public? or radiation workers?
What about corporate aviation? (altit udes alm o st as high as supersonic Concorde but travel is sub-soni c and thus time in air is high)
Business travelers: frequent fliers have no restriction of # hours per year in flight.
What about pregnant wom e n?
Shoul d the traveling public be alerted to sunspot activity?
Is legal action possibl e?