By I. E Irodov
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Additional info for A collection of problems in atomic and nuclear physics
J == +1 is valid. Show that if the rotational constant is the same for the states between which the transition occurs, the spectral line frequencies of the band am ° (t) = (t)o + 2Bk; k = 1, 2, 3, ... , where (t)o is the frequency of the zero line forbidden by the J selectiolll rule, B is the rotational constant. 28. Calculate the moment of inertia and anharmonicity coefficient of an HF molecule, if the wave numbers of four consecutivespectral lines of rotational structure of vibration band are equal to3874, 3916, 4000, and 4042 cm -1.
J = +1 and v' = 1--+ v = 0. 5 cm -1. The rotational constant is assumed to be equal for all levels. 29. JJA) of lines in the true rotational speetrum of the mixture of H35Cl and H37Cl molecules. 30. Consider the spectral line caused by the transition v' == 1,. J' = 0--+ v = 0, J = 1 in CO molecules. ~ot of vibrational and rotational components of the line (v = VVib - Vrot) and their ratiO' for the mixture of 12 0 6 0 and 12 0 70 molecules. The anharmonicity is to be neglected. 31. Find the vibration frequency and quasielastic force constant of an S2 molecule, if the wavelengths of the red and violet satellites~ closest to the fixed line, in the vibrational spectrum of Raman scattering are equal to 3466 and 3300 J\.
2 respectively (in 10-6 cm 3 /mol). 43. An atom with spherical-symmetry charge distribution is located in the magnetic field B. Express the magnetic induction B fl at the atom's centre, caused by the precession of electron shell, via the electrostatic potential V o developed by the electron shell at the same point. 44. When a paramagnetic gas is located in the magnetic field B at the temperature T, then in the absence of spatial quantization the 55 mean value of projectin of the molecule's magnetic moment 1 ) ; (Ill') = ilL (a) = Il I~ coth a--;; where /l is the molecule's magnetic moment, L (a) is Langevin's function.
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