An algorithm by which the exact first order a.c. response of quantum e
lectronic devices, including tunnelling structures, may be calculated
rapidly is described. Novel multi-well tunnelling structures with nega
tive conductance maxima at 1.4 x 10(12) Hz (1.4 THz) and 14 THz at tem
peratures of 80 and 300 K respectively are presented. Devices of this
sort are expected to operate as power sources, mixers and amplifiers b
etween 0.5 and 20 THz. The effects of bias and departures from the ide
al geometry are discussed as are the factors which indicate that such
devices are realisable in practice.