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Physics And Chemistry Basis Of Biotechnology - De Cuyper - tiera.ru

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Wim Mondelaers and Philippe Lahorte<br />

Because the common unit for stopping powers is MeV cm 2 g -1 , the range is expressed in<br />

g cm- 2 . To obtain the range in cm R has to be divided by the density p of the absorbing<br />

material.<br />

The range of 1 MeV α-particles, protons and electrons in water are respectively 4.6<br />

pm, 39 µ m and 4.37 mm. For 10 MeV these values are 0.1 mm, 1.2 mm and 49.8 mm.<br />

For other materials the range is roughly inversely proportional with the density.<br />

3.2. INDIRECT IONIZING RADIATIONS<br />

Unlike charged particles, which generally lose energy through a large number of small<br />

energy transfers, photons (X-rays and g-rays) tend to lose a large amount of energy<br />

when they interact with matter. However, the interaction probability of photons is<br />

rather low, so that many photons will pass through a finite thickness of material without<br />

change in energy or direction. A simple exponential law (3) can describe the reduction<br />

of the number of photons transmitted through a sample with thickness d:<br />

I = 1 0 e -µd<br />

I, and I are the radiation intensities before and after the sample and µ is the absorption<br />

coefficient taking into account the several processes that contribute to the attenuation<br />

and scattering of a photon beam (Genvard 1993; Henke 1993; Hubbell 1999). Their<br />

relative importance depends on the photon energy and on the nature of the irradiated<br />

material. There are three important photon interactions, all three producing fast<br />

electrons causing subsequently many excitations and ionisations: photoelectric effect,<br />

Compton scattering and pair-production.<br />

When the photon energy is below 0,5 MeV, the photoelectric effect is predominant.<br />

The total energy, i.e. the entire photon, is used up in the ejection of an electron from an<br />

atom shell. Subsequently this fast electron causes many excitations and ionisations.<br />

Compton scattering arises predominantly when photons in the energy range 0.5 – 5<br />

MeV collide with free or loosely bound electrons in the absorber. Part of the photon<br />

energy is transferred to the electron as kinetic energy, and the photon is deflected from<br />

its initial direction (Cooper 1997; Harding 1997).<br />

When a photon has an energy of 1.02 MeV or higher it may extinct in the proximity<br />

of an atomic nucleus of the absorber, giving rise to an electron-positron pair. This<br />

process is called "pair-production" .<br />

Neutrons, being particles without charge, gradually lose energy by direct collisions<br />

with nuclei of matter. Ion pairs are produced by these collisions, the hit nucleus losing<br />

one or more of its orbital electrons (ICRU 46, 1992). The energy transfer in these<br />

elastic (billiard-ball like) collisions are most effective when the mass of the nucleus is<br />

comparable with the mass of the neutrons, as is the case for light elements, especially in<br />

256<br />

(2)<br />

(3)

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