Volume 41 of the Handbook on the Physics and Chemistry of Rare Earths adds four chapters to the series: two focus on nanoscale rare-earth mate- rials, while the other two are concerned with divergent topics—the arrangement of the rare-earth elements in the periodic table, and the higher order rare-earth chalogenide compounds with the elements of the 14th group and also In. The first chapter (248) discusses the various proposals suggested for the location of the rare-earth elements in the periodic table from the time of Mendeleev to the present day. The rare- earth containing buckyballs, that is, carbon fullerenes with encapsulated metal atom(s), which may exhibit a variety of.