Several key concepts and geometrical rules for the Mn-Mn and Mn-O distances of the CaMn4O5 cluster in the oxygen evolving complex (OEC) of photosystem II (PSII) by previous and present theoretical calculations were examined for a clear understanding of the damage-free Si structure revealed by X-ray free electron laser (XFEL). A simple equation to estimate the Mn-a-Mn-b distance in relation to the Mn-a-O(5) distance was derived taking into consideration the Jahn-Teller (JT) effects for Mn centers, indicating that the XFEL structure is regarded as a slightly right-elongated quasi-central structure in contradiction to a right-opened structure proposed by the EXAFS measurements. (C) 2015 Elsevier B.V. All rights reserved.