By I. E Irodov

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**Extra resources for A collection of problems in atomic and nuclear physics**

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I38Ba (stable) 17 min 32 min (the corresponding half-lives are indicated under the arrows). Assuming that at the moment t = 0 the preparation consisted of Cd only, (the half-lives are indicated under the arrows). Calculate the combined activity of the given preparation 60 min after the beginning of accumulation. 24. A 99Mo radionuclide with a half-life of 67 hours transforms into a stable 99Tc nuclide through p-decay. 04 hours. 1010 nuclei per second. 25. 34 MeV. Provided that a daughter nucleus is produced in the ground state, find the total energy released in this process.

E their activation energy. • (a) Derive this expression using the Fermi distribution. (b) Find the location of the Fermi level. 20. ,) = 1: (v); (v) is the mean velocity of electrons. 10- 6 Q. cm. ,) with the interatomic distance in copper. 21. Find the refractive index of metallic sodium for electrons with kinetic energy T = 135 eV. Only one free electron is assumed to correspond to each sodium atom. 22. Suppose that due to a certain reason the free electrons shift by the distance x at right angles to the surface of a flat metallic layer.

Figure 27 illustrates the temperature dependence of the heat capacity of a crystal (according to Debye). Gel is the classical heat capacity, 8 is the characteristic temperature. 5 J·K-1· mol-1 at T = 280 K; (c) the highest vibration frequency romax for copper whose heat capacity at T = 125 K differs from the classical value by 25%. 41. Evaluate the maximum values of energy and momentum of a phonon (acoustic quantum) in aluminium. 42. i)3 n (ffi) dffi = 9N ( k6 . 0)2 e dO) hw/hT -1 9 METALS AND SEMICONDUCTORS • where 8 is the characteristic temperature of the crystal.