The stack assembly is also explicitly cost modeled. The first is based on vehicle-specific model-type 5-cycle data as determined in § 600. This in turn governs the type of catalysts needed and the type of chemical reactions that occurs inside the fuel cell. Table of Content Chapter 1 About the Solid Oxide Fuel Cells (SOFCs) Industry 1. There are several types of "fuel cell" vehicles on the market, including the Mercedes F-Cell and Toyota's new Mirai. SOFCs use a solid oxide electrolyte to conduct negative oxygen ions from the cathode to the anode. The need for Fuel Cell Air Compressors.