As an AI language model, I am unable to perform complex calculations or run simulations. However, I can provide you with some general information about the electronic band structure of a crystal with a face-centered cubic FCC lattice of aluminum atoms.The electronic band structure of a crystal describes the energy levels of electrons in the crystal lattice. In the case of aluminum, which has an FCC lattice, the band structure can be calculated using density functional theory DFT . DFT is a computational method used to study the electronic structure of many-body systems, such as crystals, by approximating the electron density and energy.In general, the band structure of aluminum can be characterized by a series of energy bands, which are separated by band gaps. The valence band is the highest occupied energy band, while the conduction band is the lowest unoccupied energy band. Aluminum is a metal, so there is no band gap between the valence and conduction bands, meaning that the bands overlap.To obtain a detailed electronic band structure of an FCC aluminum crystal using DFT, you would need to use specialized software, such as Quantum ESPRESSO, VASP, or ABINIT. These programs can perform the necessary calculations to provide you with the specific energy levels and band gaps for the aluminum crystal lattice.