In this report, we present the current state-of-the-art and the challenges that remain in fully understanding, predicting, and quantifying the effects of radiation in SOFC materials and systems. This includes several phenomena that are of great interest and importance from both a fundamental level and a systems design point-of-view. Radiative transport within the electrode and electrolyte layers, as well as surface-to surface radiation within the fuel and oxygen flow channels has the potential to dramatically influence temperature fields and overall operating conditions of the unit cell. On a larger scale, radiation from the stack to the environment, including heat losses through insulation, must be accounted for in the plant design, and is of critical importance for effective thermal management of the high temperature stack. Last, but not least in importance, the determination of radiative properties of the materials involved—either through experimental methods or predictive models—must be an on-going effort as new materials are continuously being developed.