Plasma reactor vessel comprising a vacuum chamber; a first electrode in the vacuum chamber; a second electrode in the vacuum chamber, opposed to the first electrode and spaced from the first electrode; a power source electrically connected to one of the first or second electrodes; a substrate carrier having an electrically conductive material, the substrate carrier being configured to be in electrical contact with the second electrode and to hold a substrate at such that at least the majority of upper and lower surfaces of the substrate are untouched by any part of the plasma reactor and can be exposed to the plasma. The reactor vessel further includes a third electrode between the substrate carrier and the second electrode, wherein the third electrode is electrically insulated from the second electrode. And the third electrode and the substrate carrier are arranged such that when the substrate carrier holds a substrate, a first clearance gap is between the substrate and the third electrode. There is further provided a corresponding assembly and method for performing plasma processing.