The derivation of sum rules for X-ray absorption dichroism from a sing
le ion is reviewed. A possible extension of the formalism to cover the
important case of itinerant electrons is also mentioned. In my lectur
e at the Thee Thole Memorial Conference, I drafted a brief history of
the sum rules for X-ray absorption and dichroism, drawing from my reco
llections and notebooks. A detailed account of the material, reorganis
ed and partly expanded, is given in the current paper. (C) 1997 Elsevi
er Science B.V.