NGC~1097 is a nearby SBb galaxy with a Seyfert nucleus and a bright starburst ring . We study the physical properties of the interstellar medium ( ISM ) in the ring using spatially resolved far-infrared spectral maps of the circumnuclear starburst ring of NGC~1097 , obtained with the PACS spectrometer on board the Herschel Space Telescope . In particular , we map the important ISM cooling and diagnostic emission lines of [ OI ] 63 \mu m , [ OIII ] 88 \mu m , [ NII ] 122 \mu m , [ CII ] 158 \mu m and [ NII ] 205 \mu m. We observe that in the [ OI ] 63 \mu m , [ OIII ] 88 \mu m , and [ NII ] 122 \mu m line maps , the emission is enhanced in clumps along the NE part of the ring . We observe evidence of rapid rotation in the circumnuclear ring , with a rotation velocity of \sim 220 km s ^ { -1 } ( inclination uncorrected ) measured in all lines . The [ OI ] 63 \mu m/ [ CII ] 158 \mu m ratio varies smoothly throughout the central region , and is enhanced on the northeastern part of the ring , which may indicate a stronger radiation field . This enhancement coincides with peaks in the [ OI ] 63 \mu m and [ OIII ] 88 \mu m maps . Variations of the [ NII ] 122 \mu m/ [ NII ] 205 \mu m ratio correspond to a range in the ionized gas density between 150 and 400 cm ^ { -3 } .