A high-resolution x-ray diffraction study has been carried out on a binary liquid crystal mixture of pentylphenylcyanobenzoyloxy benzoate (${\mathrm{DB}}_{5}$CN) and cyanobenzoyloxypentyl stilbene (${\mathrm{C}}_{5}$ stilbene) that is 49.5 mole % ${\mathrm{C}}_{5}$ stilbene. This mixture exhibits on cooling the phase sequence monolayer smectic-A (${\mathrm{SmA}}_{1}$)--smectic-A fluid antiphase (Sm\~A)--bilayer smectic-A (${\mathrm{SmA}}_{2}$). We observe the presence of a broad coexistence region between the Sm\~A phase and the ${\mathrm{SmA}}_{2}$ phase, contrary to previous work which reported a smectic-A crenelated phase. The behavior of the smectic-A fluid antiphase ordering and the evolution of the system to Sm${\mathit{A}}_{2}$ order via a two-phase coexistence region are described in detail. Our results are compatible with previous high-resolution heat capacity measurements on the same sample.
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