Computed radial structures of hybrid JED-SAD disk configurations associated to the canonical states defined in Table 1. From left to right: Q for quiescent state, LH for low-hard, HH for high-hard, HS for high-soft and LS for low-soft. Top: electron temperature T_e at the disk mid plane. Bottom: Thomson optical depth τ_T. Red triangles show the JED zone, and blue dots describe the SAD zone. The vertical green line marks their separation at the transition radius r_J. The vertical yellow line marks the transition from a gas to radiation pressure supported regime within the SAD. In addition, the other two possible thermal solutions are shown in gray when present, the unstable in circles and the thin disk in triangles; see Paper II.