We have used radiation inactivation and target theory to determine the size of the functional unit for T3 binding in rat liver chromatin. The process involves exposure of frozen chromatin samples to a beam of high energy electrons produced in a linear accelerator and subsequent measurement of the residual capacity to bind hormone. Our experiments were carried out using three forms of solubilized chromatin: 1) sonicated, containing the receptor in fragments which sedimented faster than 30 S; 2) digested by nuclease, containing the receptor in a form which sedimented at 5-6 S; 3) digested by nuclease and made 0.5 M in KCl, containing the receptor in a form which sedimented at 3.8 S. We have shown that in each sample preparation the receptor retained the ability to bind T3 with the same capacity and affinity that had previously been measured with high molecular weight chromatin. Irradiation caused a reduction in the capacity to bind T3 but did not change the affinity of the remaining receptors for the hormone. In each preparation, the radiation resulted in a simple exponential loss of binding capacity with dose, indicating that a single target size was detected. Within the variation of the measurements, the target size for each form of the receptor was the same, 59,000 daltons.