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This report discusses those concepts of group theory that are applied to the spectra of impurity ions in crystals. Beginning with the simple hydrogen atom, spectroscopic notation and angular momentum operators are discussed. This is followed by a general discussion of angular momentum theory including Clebsch Gordon coefficients, the Wigner Eckart theorem, unit spherical tensors, and Racah coefficients. The extension of these techniques to the electronic configuration, (l to the Nth power), for N equivalent electrons is discussed. The theory of point groups as applied to ions in solids is introduced, along with the use of the International Tables of Crystallography and character tables. The phenomenological theory of crystal fields is discussed in some detail along with the so-called free ion parameters characterizing the Coulomb interaction, the spin-orbit interaction, and the inter configuration interaction. The use of tables of 3-j and 6-j symbols used in the calculation of the matrix elements of the various interactions is presented, along with other tables and aids in the computation of the energy levels. The point ion model of crystal- field interaction is discussed with particular emphasis on the work done at the Harry Diamond Laboratories (HDL) on its development. The earlier work at HDL was applied to triply ionized rare earth ions (l to the Nth power) electronic configuration), and the preliminary extensions presently being undertaken at HDL are applied to the transition metal ions with the electronic configurations d to the Nth power (n=3,4, and 5). Keywords: Angular momentum theory; group theory; crystal field interactions; spectroscopy of solids, rare earth ions; transition metalions.

Arthur George Morrison was an English author and journalist known for his realistic novels about London's East End and for his detective stories. Morrison's most famous novel is A Child of the Jago, published in 1896, The novel described in graphic detail living conditions in the East End, including the permeation of violence into everyday life (it was a barely fictionalized account of life in the Old Nichol Street Rookery). (Introduction by Wikipedia and Algy Pug)<br /><br /> Other works in the trilogy: <br /> <a href="https://librivox.org/tales-of-mean-streets-by-arthur-morrison/" target="_blank">1 - Tales of Mean Streets</a><br /> <a href="https://librivox.org/to-london-town-by-arthur-morrison/" target="_blank">3 - To London Town</a>

2Manx Fairy Tales

By Sophia Morrison

A collection of fairy tales regarding myths and legends of the Isle of Man. Sophia was considered one of the key figures of the Manx cultural revival. - Summary by afutterer

3To London Town

By Arthur Morrison

Written to complement <a href="https://librivox.org/tales-of-mean-streets-by-arthur-morrison/" target="_blank">Tales of Mean Streets</a> and <a href="https://librivox.org/child-of-the-jago-a-by-arthur-morrison/" target="_blank">A Child of the Jago</a>, and the final book in the trilogy, To London Town examines the mean streets and tough lives of the inhabitants of the East End of London. The novel described in graphic detail living conditions in the East End, including the permeation of violence into everyday life.

4Tales of Mean Streets

By Arthur Morrison

This is the first book of a trilogy (<a href="https://librivox.org/child-of-the-jago-a-by-arthur-morrison/" target="_blank">A Child of the Jago</a>, <a href="https://librivox.org/to-london-town-by-arthur-morrison/" target="_blank">To London Town</a>) set in the harsh world of London's East End. Violence and poverty are everywhere, but the universal human emotions prevail despite the rawness of life. We come to love the characters and suffer with them in their misery, yet share in their joys and minor triumphs. - Summary by Lynne Thompson

5Martin Hewitt, Investigator

By Arthur Morrison

Here are seven mystery stories featuring Martin Hewitt, Detective, and narrated (of course) by his (nameless) sidekick. Arthur Morrison certainly has imagination, as shown by the very wide range of situations, motivations, crimes and characters he presents in these stories. Hewitt may be after a Russian spy or a domestic animal; he investigates the burglary of documents vital to national security, but also the destruction of a work of art -- which is counterfeit. (summary by Kirsten Wever)

6Stories by English Authors: London

By F. Anstey, J. M. Barrie, Marie Corelli, Beatrice Harraden, Arthur Morrison, Sir Arthur Thomas Quiller-Couch and Israel Zangwill

This book collects seven short stories by some of England's best turn-of-the-(last)-century's writers. The collection begins with the humor of J. M. Barrie, of Peter Pan fame. A later and equally humorous story is by Israel Zangwill, also widely known for his exposures of social and economic problems. The immensely popular Marie Corelli’s contribution is the last, and among the most moving. (NB: Though a less prominent writer than some represented here, Corelli was so popular that her literary sales exceeded those of Arthur Conan Doyle, H. G. Wells and Rudyard Kipling – combined.) </br> In short, these writers offer great variety as to style, tone and topic, ranging from breezy tales to poignant proofs of the kindness and grace that can underlie the deepest tragedies. But while diverse, these writers have in common that they clearly know and clearly express genuine emotional truth. They hold our attention by conveying their stories honestly. They have no need for the tricks and devices of melodrama, shallow emotionalism, or shocking plot twists. </br> This accomplishment – this evidence of high literary quality – is all the more impressive in historical and social context. They lived in a time of widespread suffering. Yet even as most of these writers begin by drawing our attention to terrible and extensive suffering (and go on by holding it there), they end by keeping our attention in writing clearly and convincingly about important things they really know - leaving us moved, convinced, and a little richer for the experience.</br> - Summary by Kirsten Wever

7Dorrington Deed-Box

By Arthur Morrison

Six stories of cases involving the dishonest Horace Dorrington, a cheerfully unrepentant detective who is willing to stoop to theft, blackmail, fraud or cold-blooded murder to make a shilling. The first story describes how Dorrington is forced to go on the run after unsuccessfully trying to kill one of his own clients. The stories are narrated by the person he tried to kill, from records found in Dorrington’s office after his hurried escape. - Summary by TriciaG

8Hole in the Wall

By Arthur Morrison

A lively story about a pub, and those who ran it, at the end of the 19th century in the East End Dockland of London, with its poverty-stricken working people and criminal underworld. - Summary by Anthony Ogus