In this equation, the change of a parameter is directly correlated to the variation of θ without involvement of additional variables with the assumption that L1 and L2 remains constant, as confirmed in temperature-dependent SCXRD data. To validify this equation, we compared the calculated a parameter across the specified range of θ against the crystallographic data (Figure ). As illustrated in Figure , the relationship between a parameter and θ aligned remarkably well with the calculated values derived from the mathematical equation (Figure ). We noted that this ZIF mechanics exhibits a form of rotation-correlated translation, similar to slider-crank mechanism observed in ordinary and biological 34 machines. Also, using this mathematical equation and 3D printing technology, we demonstrated the macroscopic version of gis-ZIF-1