Based on accurate band structures of AlN, GaN, and InN we report physical quantities related to high-field electron transport, including effective masses, energies of inflection points, and satellite valleys in the conduction band. The band structures are obtained from density functional theory with a hybrid functional, as well as many-body perturbation theory based on the G 0 W 0 approach.We also calculate the electron-energy relaxation time due to the electron-LO-phonon interaction within the Fröhlich model. Our results provide insights into the physical origin of negative differential resistance and the high-frequency characteristics of group-III nitrides and their alloys under high-field operation. The high-field performance of GaN-based electronic devices is related to two properties of the conduction band (CB): the nonparabolicity of the main CB valley characterized by an inflection point, and the existence of satellite valleys. Both of these can give rise to a negative differential resistance (NDR), where the drift velocity initially increases with the applied electric field to reach a maximum and then decreases with further increase in the field.Inter-valley electron transfer to satellite valleys with heavier effective masses can generate an electron-transfer NDR, the so-called Gunn effect. 3,4 The upper frequency of radiation produced by the Gunn effect for traditional semiconductors such as GaAs and InP is on the order of 100 GHz, 5-7 determined by the inter-valley scattering which is relatively weak.On the other hand, under high field electrons can be excited above the inflection point and their semiclassical effective masses become negative. Attaining the maximum group velocity at the inflection point, electrons start to slow down under an applied field and can induce NDR even in the absence of any scattering mechanism. 8 The frequency of radiation associated with the negative-mass region close to the inflection point is determined by intraband scattering and the strength of the electron-phonon interaction, and the characteristic frequency of radiation by this negative-mass effect can be on the order of THz. 9,10 The relative ordering of the inflection point and the energy minima of the satellite valleys determines which mechanism dominates the velocity-field characteristics. Accurate band structures are thus crucial to address this issue. The empirical pseudopotential method (EPM) has been widely used to calculate nitride bands structures, 11,12 and several reports on high-field transport of electrons in GaN and AlN have been published. 11,13-16 Most EPM band-structure calculations identify the lowest satellite CB valley for GaN to be at the U point, along the L-M direction, but its precise position and energy vary widely among the different reports. In addition, EPM calculations usually produce an incorrect electron effective mass. In the present work, we obtain full band structures of nitride materials (including AlN, GaN, and InN) from advanced first-principles techniques including the hy...