Vertical capacitors for microelectronics are provided. An example thin capacitor layer can provide one or numerous capacitors to a semiconductor chip or integrated circuit. In an implementation, a thin capacitor layer of 50-100 μm thickness may have 5000 vertically disposed capacitor plates per linear centimeter, while occupying only a thin slice of the package. Electrodes for each capacitor plate are accessible at multiple surfaces. Electrode density for very fine pitch interconnects can be in the range of 2-200 μm separation between electrodes. A redistribution layer (RDL) may be fabricated on one or both sides of the thin capacitor layer to provide fan-out ball grid arrays that occupy insignificant space. RDLs or through-vias can connect together sets of the interior vertical capacitor plates within a given thin capacitor layer to form various capacitors from the plates to meet the needs of particular chips, dies, integrated circuits, and packages.