Each chapter in Zeta Psi has a unique name composed of one or two Greek letters. A colony petitioning Zeta Psi to become a chapter chooses a name for its chapter upon receiving its charter. From this point on, the name is fixed. Even if the chapter goes inactive—in that it has no undergraduate members—the name will be taken up by any group that re-establishes a chapter at the university campus. A one or two-letter name can only be re-used if the chapter possessing the name is pronounced "deceased." This has not happened since 1892.