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Equivalent Dose and Radiation Weighting Factor


Date: 2015-10-07; view: 618.


Units of Absorbed Dose

The SI unit for absorbed dose is the gray (Gy) and represents an energy absorption of 1 joule per kilogram of absorbing material, i.e.:

The same absorbed dose delivered by different types of radiation may result in different degrees of biological damage to body tissues. The total energy deposited is not the only factor which determines the extent of the damage. The equivalent dose was introduced to take into account the dependence of the harmful biological effects on the type of radiation being absorbed. The equivalent dose is therefore a measure of the risk associated with an exposure to ionising radiation . Risks due to exposures to different radiation types can be directly compared when in terms of equivalent dose.

The unit of equivalent dose is the sievert (Sv) and is defined for a given type of radiation by the relationship:

where: .

The radiation weighting factor is a dimensionless number which depends on the way in which the energy of the radiation is distributed along its path through the tissue.

The rate of deposition of energy along the track is known as the Linear Energy Transfer (LET) of the radiation and has units of measured in water (water is considered equivalent to tissue).

Radiation with a high LET (such as heavy charged sub-atomic particles) is more likely than radiation with a low LET (such as x-rays or beta particles) to damage the small structures in tissue such as DNA molecules . This is because the energy from high LET radiation is absorbed in a small volume surrounding the trail of dense ionisation produced by this radiation. The radiation weighting factor is directly related to the LET of the radiation as is shown in Fig. 3.1 . The radiation weighting factors are used to correct for differences in the biological damage to tissue caused by chronic exposure to different radiations. The radiation weighting factors for various radiations are shown in the Table 3.1 .

Table 3.1: Radiation weighting factors for various radiations

The use of the radiation weighting factors to calculate the equivalent dose is illustrated in the following examples:

  1. An individual who has absorbed a fast neutron dose of has absorbed an equivalent dose of:

In other words the dose of of fast neutrons is `equivalent' to a dose of of x-rays. Both can be expressed as an equivalent dose of .


Figure: 3.1Correspondence between LET and radiation weighting factor

 

  1. An individual who has absorbed a slow neutron dose of 1 milligray ( ) has absorbed an equivalent dose of:

  1. The total biological dose from mixed radiation is found by expressing it as equivalent dose and summing.

For example if a person were to receive of slow neutron , of gamma, and of fast neutron radiation the total dose would be calculated as follows:


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