Elements of a chemical orbital theory / S. Inagaki -- A mechanistic spectrum of chemical reactions / S. Inagaki -- Orbital mixing rules / S. Inagaki -- An orbital phase theory / S. Inagaki -- Orbital phase environments and stereoselectivities / T. Ohwada -- [pi]-facial selectivity of Diels-Alder reactions / M. Ishida and S. Inagaki -- Orbital phase design of diradicals / J. Ma, S. Inagaki and Y. Wang -- Relaxation of ring strains / Y. Naruse and S. Inagaki -- Orbitals in inorganic chemistry: Metal rings and clusters, hydronitrogens, and heterocyles / S. Inagaki