An electronic device mounting box includes a tray to which an electronic device is adapted to be attached. The synthesizer device contains at least one direct digital synthesizer and generates at least two signals of known phase ratio. 5L1\u2266L3\u2266L1 where assuming that a maximum energy is 1, L1 is a beam width of two points having an energy of 0. The linear motion of the rotation shaft is in this manner interconnected to the rotational movement of the grasping mechanism unit in a library apparatus. The die may have features to facilitate placement of the interconnects such as dogleg cuts, grooves, notches, enlarged contact pads, tapered side edges and stepped vias.