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We describe the local structural properties of the iron oxychalcogenides,La$_2$O$_2$Fe$_2$O$M_2$ ($M$ = S, Se), by using pair distribution function(PDF) analysis applied to total scattering data. Our results of neutron powderdiffraction show that $M$ = S and Se possess similar nuclear structure at lowand room temperatures. The local crystal structures were studied byinvestigating deviations in atomic positions and the extent of the formation oforthorhombicity. Analysis of the total scattering data suggests that bucklingof the Fe$_2$O plane occurs below 100 K. The buckling may occur concomitantlywith a change in octahedral height. Furthermore, within a typical range of 1-2nm, we observed short-range orthorhombic-like structure suggestive of nematicfluctuations in both of these materials.

Local Structure of Mott Insulating Iron Oxychalcogenides La$_{2}$O$_{2}$Fe$_{2}$O$M$$_{2}$ ($M$ = S, Se)