Date of this Version
For the special case of half-filled subshells, Racah showed in 1943 that his formula relating the coefficients of fractional parentage for a given particle configuration to those for the corresponding hole configuration requires an additional phase factor (-1) (v-1)/2, where v is the seniority of the half-filled configuration. This phase factor is incorrectly printed in Racah's 1943 paper as (-1) v-1/2. Furthermore, this phase factor is omitted in the 1952 paper by Rosenzweig, resulting in sign errors in the table of (d5|}d6) coefficients. These rather old errors have often been repeated in subsequent publications, including even some recently published monographs and textbooks.