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Aberration-corrected electron microscopy can resolve the smallest atomicbond-lengths in nature. However, the high-convergence angles that enablespectacular resolution in 2D have unknown 3D resolution limits for all but thesmallest objects ($< \sim$8nm). We show aberration-corrected electrontomography offers new limits for 3D imaging by measuring several focal planesat each specimen tilt. We present a theoretical foundation foraberration-corrected electron tomography by establishing analytic descriptionsfor resolution, sampling, object size, and dose---with direct analogy to theCrowther-Klug criterion. Remarkably, aberration-corrected scanning transmissionelectron tomography can measure complete 3D specimen structure of unboundedobject sizes up to a specified cutoff resolution. This breaks the establishedCrowther limit when tilt increments are twice the convergence angle or smaller.Unprecedented 3D resolution is achievable across large objects. Atomic 3Dimaging (1$\unicode{xC5}$) is allowed across extended objects larger thandepth-of-focus (e.g. $>$ 20nm) using available microscopes and modest specimentilting ($<$ 3$^\circ$). Furthermore, aberration-corrected tomography followsthe rule of dose-fractionation where a specified total dose can be dividedamong tilts and defoci.

The Limits of Resolution and Dose for Aberration-Corrected Electron Tomography