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PENELOPE 2003 - OECD Nuclear Energy Agency

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2.6. Atomic relaxation 65<br />

2.6 Atomic relaxation<br />

Atoms are primarily ionized by photon interactions and by electron or positron impact.<br />

There is a fundamental difference between the ionizing effects of photons and of charged<br />

particles. A photon is only able to directly ionize a few atoms. In the case of photoabsorption,<br />

when the photon energy is larger than the K-shell binding energy, about<br />

80% of photoabsorptions occur in the K shell, i.e. the resulting ion with a vacancy in<br />

the K shell is highly excited. Incoherent scattering is not as highly preferential, but<br />

still the probability that an inner shell is ionized is nearly proportional to the number<br />

of electrons in the shell. Conversely, fast electrons and positrons (and other charged<br />

particles) ionize many atoms along their paths; the ionizations occur preferentially in<br />

the less tightly bound atomic shells, or the conduction band in the case of metals (see<br />

section 3.2), so that most of the produced ions are only weakly excited.<br />

Excited ions with a vacancy in an inner shell relax to their ground state through a<br />

sequence of radiative and non-radiative transitions. In a radiative transition, the vacancy<br />

is filled by an electron from an outer shell and an x ray with characteristic energy is<br />

emitted. In a non-radiative transition, the vacancy is filled by an outer electron and<br />

the excess energy is released through emission of an electron from a shell that is farther<br />

out (Auger effect). Each non-radiative transition generates an additional vacancy that,<br />

in turn, migrates “outwards”. The production of vacancies in inner shells and their<br />

subsequent relaxation must be simulated in detail, since the energetic x rays and/or<br />

electrons emitted during the process may transport energy quite a distance from the<br />

excited ion.<br />

1.000<br />

0.100<br />

0.010<br />

Auger<br />

L3<br />

M3<br />

L2<br />

M2<br />

N3<br />

N2<br />

0.001<br />

0 10 20 30 40 50 60 70 80 90<br />

Z<br />

Figure 2.11: Relative probabilities for radiative and non-radiative (Auger) transitions that<br />

fill a vacancy in the K-shell of atoms.

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