Two and three junction monolithic two-terminal cells have been developed that have 1-sun, AMO efficiencies of greater than 25%. In order to reach 1-sun efficiencies of 30% and greater, cells with more junctions are required. Mechanically stacking junctions with different band gaps provides a means of developing such a cell. We propose a four-junction, mechanically stacked cascade cell structure that projects to a 34.8% AMO efficiency. Wafer bonding provides a means of mechanically joining semiconductor materials with different lattice constants. We present optical, electrical, and mechanical data on wafer bonding GaAs and InP substrates. The data indicate that wafer bonding can be used to develop a four-junction device.