Survey of Polarizability and Hyperpolarizability Calculations

There are a number of reviews in the literature which the interested reader will want to consult. Three older ones, which contain much fundamental information that is still relevant, are by Dalgamo[13] on atomic polarizabilities, by Buckingham[14] on hyperpolarizabilities, and by Bogaard and Orr[15] on dynamic hyperpolarizabilities. More recently, Dykstra et a/.[16], and Hasanein[17] have written reviews on the subject for 

Advances in Chemical Physics as have Bishop[18] and Luo et al.[ 19] for Advances in Quantum Chemistry. Two reviews which cover both theoretical and experimental developments have been written by Bonin and Kadar-Kallen[20] for polarizabilities and by Shelton and Rice[21] for hyperpolarizabilities. Finally, though it is not a review as such, attention is drawn to the paper by Stiehler and Hinze[22] on the calculation of static polarizabilities and hyperpolarizabilities for the atoms He through Kr. This paper is so thorough in its reference to other calculations on these atoms that it deserves to be specifically singled out as an excellent source for theoretical data. 

We will divide the survey into three parts (3.1) static dipole polarizabilities, (3.2) static dipole hyperpolarizabilities, and (3.3) dynamic dipole polarizabilities and hyperpolarizabilities. Within each part there will be sub-sections dealing with the three isoelectronic series He, Ne, and Ar. For (3.2) and (3.3) the hydrogen atom will also be included. 

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