A perforated film electrode for a pinned electrostatic chuck that lies below the top surface of the pins in the valleys or interstices between pins, below the elevation of the top surface of the pins, and is attached to the body of the chuck. In one embodiment, the perforated film electrode assembly features a thin film electrode sandwiched between thin sheets of electrically insulating material. The top, outer or exposed surface of the perforated film electrode assembly has a flatness that is maintained within 3 microns. That is, the distance or elevation between the tops of the pins and the top surface of the perforated film unit is maintained within plus or minus 3 microns. A tool for producing a uniform elevation of the top and bottom sheets or layers of electrically insulating material also is taught.