The crystal and molecular structure of 1,6-anhydro-β-d-mannopyranose

The crystal structure of 1,6-anhydro-β-d-mannopyranose, C₆H₁₀O₅, is orthorhombic, P2₁2₁2₁, with a = 10.971(2), b = 13.935(3), c = 9.012(1) Å, V = 1377.76 »³ (MoKα, λ = 0.7107 Å), Z = 8, D_x = 1.563 M.gm⁻³, D_m = 1.565 M.gm⁻³. the structure was solved by MULTAN and refined to R(F) = 0.043 for 2355 reflections. The two symmetry-independent molecules in the unit cell have similar conformations, except for the orientation of one of the three hydroxyl groups. The conformation of the pyranose rings is ¹C₄ distorted towards E_o, and that of the anhydro rings is E. There are significant differences between the two molecules in two of the four C---O bond-lengths. These occur where there are important differences in the hydrogen-bonding environment of the oxygen atoms. The molecules are hydrogen-bonded by three linear and three bifurcated O---H···O interactions which form four-membered loops linked into infinite chains. Empirical force-field calculations with MMI-CARB reproduced the geometry of the molecules within the variations observed experimentally between the two molecules, except for a C---O bond in one of the molecules. The effect of excluding the anomeric effect from the theoretical calculations was not significant. Calculations for an intramolecularly hydrogen-bonded molecule were also carried out as a model for the molecules in a non-polar solvent.