A vessel sealing instrument having an instrument tip that comprises a pair of opposing clamping members movable to clamp a vessel to be sealed. The clamping members include an energy delivery structure capable of delivering localized radiofrequency (RF) electromagnetic (EM) energy and microwave EM energy separately or simultaneously into the vessel. The RF EM energy and the microwave EM energy are received in the energy delivery structure from a coaxial cable. Each energy delivery structure comprises first and second conductive elements separated by a planar dielectric layer. The first and second conductive elements are arranged at the opposed surface of the respective clamping member to act as active and return electrodes to transfer RF EM energy into biological tissue by conduction, and as an antenna to radiate microwave EM energy into biological tissue from the opposed surface.