A model incorporating the thermodynamic equilibrium oxygen content, ox
ygen in-diffusion, and oxide phases for the oxygenation of the YBaCu3O
7-x is described. For sintered polycrystals, grain growth and the resu
lting grain size distribution are included. The model is used to calcu
late the volume percent of each oxide phase for several processing con
ditions of sintered specimens and is compared with available results o
n the quantification of phases present. Such a comparison indicates th
at as the concentration of impurity phases increases so does the conce
ntration of the less oxygenated 123 phases, suggesting that impurities
coating 123 grains act as oxygen indiffusion barriers. The model is a
lso used to investigate the uniformity of the oxygen content in large
twinned and detwinned single crystals such as have been used for measu
ring superconductivity parameters.