A method of using homogenous rhodium catalysts comprising N-heterocyclic carbene ligands for the hydroformylation of olefins and substituted olefins is provided. One of the permanent magnets has a circumferentially extending rut-shape concavity around the magnet detector or an axially extending elliptic columnar surface having a central portion thicker than others to make magnetic flux density in the vicinity of said magnetic detector constant in an axial or a diametrical direction. Every two pins are pushed apart by springs situated between them. The focusing circuit provides a parabolic control signal capable of correcting for dynamic cathode ray tube deviations and pin cushion effects, irrespective the graphical monitor or television mode applied in an image device. A photodiode apparatus in accordance with one or more embodiments of the present invention comprises an indium phosphide substrate, and a photoabsorbing region comprising at least an indium gallium arsenide antimonide nitride layer, wherein the InGaAsSbN layer has a thickness of at least 100 nanometers and is nominally lattice-matched to the indium phosphide substrate. In one embodiment, the system includes a board detector configured to determine a relative arrangement of a plurality of hardware boards populating positions associated with the backplane interconnections.