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The volume changes of cesium under pressure are discussed with respect to the packing density of the atoms and valence. The element is univalent in densely packed Cs I and Cs II. Valence increases in Cs III (packing density q = 0.973), in Cs IV (q = 0.943), in Cs V (q ~ 0.99), and in close packed Cs VI. The diminuition of volume beyond ~ 15 GPa is caused by this increase only which implies that electrons of the fifth shell act as valence electrons.
In recent publications Otto Hahn, last president of the Kaiser-Wilhelm-Gesellschaft, is charged with having favoured the Nazi regime, before World War II by politically purging institutes and suppressing Lise Meitner’s contribution to the discovery of nuclear fission, and during the war by contributing to the German war efforts, mainly to the development of nuclear weapons. These charges, however, which partly concern also the Kaiser-Wilhelm-Gesellschaft and some of their institutes are based on ignorance or disregard of the historical sources.
It is considered whether Fermat’s so called Last Theorem can be understood by substituting variables by polynomials and discussing their properties. The same substitution yields a survey of the Pythagorean Triples.