The invention is related to a microstructure apparatus for the measurement of biological membranes, comprising a support substrate having an upper side for supporting the membrane, at least one microcavity of the support substrate for receiving an electrolyte, wherein the microcavity is open upward and ends in a microaperture in the upper side of the support substrate, wherein the microaperture has a first characteristic diameter D1 and has at least one electrode, which is at least partially arranged within the microcavity and which has a contact side for contacting an electrolyte, the contact side being arranged adjacent to the inner volume of the microcavity, characterized in that the contact side of the electrode has a characteristic diameter D2, being larger than D1. The invention further relates to a corresponding method for producing the microstructure apparatus.