The three-dimensional (3D) effects critically influence the physical properties of graphite. These effects in unoccupied bands are studied by very-low-energy electron diffraction (VLEED). The position and dispersion of the 3D bands coupling to vacuum, including the interlayer state, are determined. The data are compared to a state-of-the-art DFT band calculation. The non-free-electron and self-energy effects are assessed.