Phase diagrams for the chiral smectic-A* phase depend on the reduced temperature, , reduced chirality and Ginzburg parameter κG = λ/ξ for the molecules. The phase boundary between the TGB and chiral nematic phases occurs at the upper critical chirality, qc2, while the onset of the HN phase occurs for lower reduced temperature and a finite, non-zero reduced chirality. (a) The phase diagram for a Ginzburg parameter κG = 3. (b) For higher values of the Ginzburg parameter, the critical point for the onset of the HN phase moves deeper into the TGB phase. This leaves room for other high-temperature bent-core smectic phases, such as B2, from which HN experimentally condenses.