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We introduce a new simplified method for computing the electron fieldemission current in short carbon nanotubes using ab-initio computation inperiodic simulation cells. We computed the evolution of the wave functionsusing Time-Dependent Density Functional Theory, where we have utilized theCrank-Nicholson propagator. We found that in pristine carbon nanotubes, theemitted charge tends to emerge mostly from electrons that are concentrated atthe nanotube tip region. The charge beam concentrates into specific channelstructures, showing the utility of carbon nanotubes in precision emissionapplications.

First Principles Calculation of Field Emission from Nanostructures using Time-Dependent Density Functional Theory: a Simplified Approach