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Radioactive Units

Unfortunately there are many definitions for the radioactivity of a source. Although some consensus has been made in defining SI units there are still many texts using antiquated or non-standard units. The units used are based upon either

  1. the numbers of quanta of a particular radiation, or
  2. the effects produced by that radiation such as ionization or biological damage

Below is a summary of the types of units that you may come across and conversion factors for them.

  • The Becquerel. Defined as 1 disintegration per second. This is the SI unit for measuring radioactivity.
  • The Curie. Defined as 3.7 x 1010 disintergrations per second.
    This is the activity of 1 gram of radium in equilibrium with its decay products.
  • The Rutherford. 1 Rd = 106Bq.
  • The Roentgen. This is defined as the amount of gamma radiation that produces 1 cm3 of air ionization equal to 1 esu.
    1 esu = 3.3 x 10-10 coulombs = 2 x 109 ion pairs/cm3 of air. Equivalent to 2.58 x 10-4C/kg air (0.0087 J/kg of air).
    1R is approximately 10-2 Sv.
  • The Gray. 1Gy = 1 J/kg. This is the SI unit for absorbed dose of ionizing radiation.
  • The Rad. 1 rad = 10-2Gy (= 10-2 J/kg). This is defined as the amount of radiation that deposits 100 ergs (10-5 J) in each gram of tisue it traverses. Two different types of radiation may, however, produce different degrees of biological damage even though they are both rated as 1 rad.
  • The rep (Roentgen equivalent physical). It has been found that 1R of gamma radiation dissipates an energy of 93 erg/gm (93 J/kg) of average tissue. Hence the rep is defined as that quantity of gamma-radiation which suffers an absorption of in tissue of 93 erg/gm.
  • The Sievert. 1 Sv = 1 J/kg. The Sievert is equal to the absorbed dose in tissue (Gy) multiplied by the ‘quality factor’ for the particular type of ionising radiation. The quality factor is a dimensionless number representing the relative effect produced by the same absorbed doses of different types of radiation. In older terminology the quality factor was referred to as the Relative Biological Effectiveness (see table below)
  • The rem (roentgen equivalent man). This is defined as the amount of radiation which when absorbed by a person, will produce the same biological effects as the absorption of 1 roentgen of x-ray or gamma-ray radiation. To define the rem quantitively, a relative biological effectiveness (RBE) has been established and (number of rem) = (number of rad) x RBE. The following table gives RBE for the usual types of radiation.


RELATIVE BIOLOGICAL EFFECTIVENESS
Type of radiationradx RBE= rem
x-rays and gamma-rays111
Beta radiation111
Protons0.1101
Alpha particles0.05201
Fast Neutrons0.1101
Slow Neutrons0.331

1 rem = 10-2Sv (= 10-2 J/kg).