The Modern Theory of Solids by Seitz F.

By Seitz F.

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The potential _7is regarded in these experiments 31 ~E Fig. 8. Correction due to the density effect for condensed substances (a) and for gases (b): (a): 1 - Be; 2 - I-I20; 3 - nuclear photo-emulsion; (b): I - H2 at P = 107 Pa; 2 - H2; 3 - air; 4 Ar (all gases are at P = 105 Pa except for 1) a 1 2 16 3 12 8 4 0 I0 ' 10 2 ' 103 k~ 10 4 = /37 b 16 1 12 8 I0 10 2 103 10 4 " f17 as a fitted parameter. 3. 5 eV. 95 eV; more precise calculations with approximate wave functions yield I / Z ,~, 10--12eV.

This problem was investigated, for instance, by Budini et al. 40). 46) was given by Landau and Lifshitz (1960) who utilized the analyticity of e(w) in the upper semi-plane of complex w. 48) and the index E refers to the energy loss dE/dx. 49) d 0 and I is either a positive root of the equation e(i/) =/3 -2, or zero, if no such root exists. 1536(Z/A)oMeV/cm. ~ is the density of the substance in g/cm3; A is the atomic mass. 48),. depend weakly on the model representation of e(w). In this connection, a simple model of the medium in the form of a set of K harmonic oscillators is usually applied in calculations of the correction 5E: ~(60) X-~ 1 Z(w 2 - w2 + 2iFw) F ~ 0 .

The most general approach to the description of the density effect consists in passing from interaction of a particle with individual atoms to its interaction, with complexes of atoms (the entire medium) (Sect. 2). 33) and integrating over q we obtain (dE) e2 - - ~ x q

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