“…Bearing in mind that for a typical relaxor, v s is in the range of 2.5-6 km/s, the operational frequency of such SAW devices has a theoretical upper limit of around 6 GHz (purely on the basis of the speed of sound and the spacing of the electrodes), whereas in practice, the SAW filters used in contemporary 3G and 4G cellphone telecommunication networks typically operate below 2.5 GHz. Whilst, in principle, SAW resonators operating at higher frequency (up to 10 GHz) have been demonstrated, 4 with electrodes as small as 90 nm fabricated by electron-beam lithography, the losses associated with the high resistance of such small electrodes rendered the devices somewhat impractical. The electrodes suffer from Joule heating and electromigration 5 and delaminate under high power, which is only overcome by either operating at low temperature (below 10 K) or by using exotic electrode materials.…”