This book presents an approach to introductory graduate courses on atomic structure. The author's approach utilizes conceptually powerful semiclassical modeling methods, and demonstrates the degree to which the Maslov-indexed EBK quantization elucidates the quantum mechanical formulation of level energies and lifetimes. It merges this with an update and extension of semiempirical data systematizations developed by Bengt Edlén to describe complex atoms, and adapts them to include the specification of lifetimes. The text emphasizes the historical basis of the nomenclature and methodologies of spectroscopy. However, interaction mechanisms are presented deductively, based on quantum mechanical and field theoretical models, rather than tracing their indirect paths of discovery. Many worked examples provide applications to areas such as astrophysics, hyperfine structure, and coherent anisotropic excitation. The book presents a firm foundation for specialists in atomic physics, as well as a capstone application for specialists in astrophysics, chemistry, condensed matter, and other related fields.
The dipole polarizability and adiabatic correlations of atomic ions are related to the energy levels and oscillator strengths of the levels through bracketing inequalities. For systems with a ground state ns 2 1 S 0 , the total oscillator strength is dominated by the unbranched intrashell ns 2 1 S 0-nsnp 1 P o 1 transition, and the remaining oscillator strength can be narrowly bracketed using the f-sum rule. Thus measurements of the lifetime of the lowest resonance transition can be used to specify the polarizabilities and, alternatively, measurements of the polarizabilities can be used to deduce lifetimes. Moreover, isoelectronic regularities in line strengths can be used to obtain a comprehensive database from a small number of precision lifetime determinations. These methods are applied homologously to produce values for polarizabilities and lifetimes for the Mg, Zn, Cd and Hg isoelectronic sequences. To confirm the reliability of these methods, fast ion beam lifetime measurements in P IV were performed using the arbitrarily normalized decay curve (ANDC) method, and a test of the f-sum was made for Ba II, for which precision measurements of both the polarizability and lifetimes exist.
where J and 7 are the total angular momentum and lifetime of the upper level, and A is the transition wavelength. Ref-A method is presented that accounts for the effects of singlet-triplet mixing in measured lifetimes of resonance and intercombination lines in alkaline-erenceS [1-31 have demonstrated that Of for Some earthlike and inert-gaslike isoelectronic sequences, The method uses measured isoelectronic sequences can be accurately represented by a lifetimes and spectroscopic energy levels as its only inputs, and yields mixing-semiempirical screening parameter linearization of the form reduced line strength factors that can be isoelectronically linearized for precision interpolation, extrapolation, and smoothing. The method is 22s = A + B/(Zc).applied to predictively systematize lifetimes in the Be, Mg and Ne isoelectronic sequences.
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