By Igor I. Sobelman, J.P. Toennis
Atomic Spectra and Radiative Transitions covers the systematics of atomic spectra, non-stop spectrum radiation, and the excitation of atoms. This moment variation has extra chapters on relativistic corrections within the spectra of hugely charged ions, which rounds off the former therapy. vast tables of oscillator strengths (both dipole and quadrupole), chances and move sections of radiative transitions whole this textbook, making it helpful additionally as a reference paintings.
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Extra info for Atomic Spectra and Radiative Transitions
We can, without any loss of generality, choose the directions of the x- and y-axes so that k lies in the x - z plane. Then kx = k sin (), ky = 0 and kz = k cos () where () is the angle measured from B to k. 57) This is a set of three homogeneous equations in Ex, Ey, E z . They are only self-consistent if the determinant of the coefficients is zero. 62) KLKRK3 This is the dispersion relation for the medium. 64) which is a form that is often used. The dispersion relation or, equivalently the refractive index formula, contains all the information about the variation of the phase of a plane electromagnetic wave in the medium.
58) are thus written as the sum of the expressions for an electron plasma with the addition of ion terms. It is again convenient to multiply them by 1 - y2. The ion terms are only important when Y ~ 1 and this approximation is used only in the ion terms. Thus at high frequency the electron terms dominate in the form previously derived while at low frequencies the approximate expressions for the ion terms become important. 73) The case of a plasma with one species of ion is obtained by setting TJl = 1, = 0, i :j; 1.
Assume that the amplitude factor F is sharply peaked at k = k o . Where F is appreciable we can expand 1> in a Taylor series about ko: d1» 2 1> = 1>0 + ( dk 0(k - ko) + 0 [( k - ko) ] 45 In general, provided that (d1>J dk)o is not too small, the integrand oscillates, there is cancellation and a small contribution to the integral. The component waves in the spectrum interfere destructively. If the phase does not depend on k there is no oscillation and no cancellation. The interference of the component waves is constructive.