Experimental electron density in crystalline H3PO4

Abstract
X-ray diffraction data for H3PO4 crystals have been measured to dmin = 0.46 A resolution, and used to model the electron-density distribution with the hydrogen structure of the crystals adopted from an earlier neutron diffraction analysis. The molecule is asymmetric in the crystal with site symmetry 1 (C1), but the local symmetries of the pseudoatomic densities are, within experimental error, equivalent as they would be under idealized 3m (C3v) molecular symmetry. Although the experimental analysis entailed substantial problems with absorption and extinction corrections, the static deformation density from the experiment agrees very well with that from a polarized split-valence molecular orbital wavefunction for an isolated molecule with the crystallographic molecular geometry. Hydrogen bonding in the crystal polarizes the molecule's P==O acceptor group towards P(+)--O-, and appears to relocalize the lone-pair density of the P--OH donor groups. Crystal data: anhydrous orthophosphoric acid, H3PO4, M(r) = 98.00, room temperature, P2(1)/c, a = 5.7572 (13), b = 4.8310 (17), c = 11.5743 (21) A, beta = 95.274 (12) degrees, V = 320.55 (25) A3, Z = 4, dx = 2.030 mg mm-3, mu = 0.660 mm-1 for lambda(Mo K alpha) = 0.7107 A, F(000) = 200 e-, R(parallel F) = 0.026 for 3512 unique reflections.

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