Dynamic quantum crystallography: lattice‐dynamical models refined against diffraction data. II. Applications to l‐alanine, naphthalene and xylitol. Issue 2 (30th January 2017)

• Record Type: Journal Article
• Authors: Hoser, Anna A.; Madsen, Anders Ø.
• Is Part Of: Acta crystallographica. Volume 73:Issue 2(2017:Mar.)
• Page Start: 102
• Page End: 114
• Publication Date: 2017-01-30
• Subjects: lattice dynamics -- thermodynamics -- refinement -- Bragg scattering; Crystallography -- Periodicals; Condensed matter -- Periodicals; 548
• DOI: 10.1107/S2053273316018994
• Languages: English
• ISSNs: 2053-2733

Abstract

Abstract : The performance of a lattice‐dynamical model refined against elastic Bragg scattering data is tested onl ‐alanine, naphthalene and xylitol. Abstract : In the first paper of this series [Hoser & Madsen (2016). Acta Cryst. A72, 206–214], a new approach was introduced which enables the refinement of frequencies of normal modes obtained from ab initio periodic computations against single‐crystal diffraction data. In this contribution, the performance of this approach is tested by refinement against data in the temperature range from 23 to 205 K on the molecular crystals ofl ‐alanine, naphthalene and xylitol. The models, which are lattice‐dynamical models derived at the Γ point of the Brillouin zone, are able to describe the atomic vibrations ofl ‐alanine and naphthalene to a level where the residual densities are similar to those obtained from the independent atom model. For the more flexible molecule xylitol, larger deviations are found. Hydrogen ADPs (anisotropic displacement parameters) derived from the models are in similar or better agreement with neutron diffraction results than ADPs obtained by other procedures. The heat capacity calculated after normal mode refinement for naphthalene is in reasonable agreement with the heat capacity obtained from calorimetric measurements (to less than 1 cal mol −1 K −1 below 300 K), with deviations at higher temperatures indicating anharmonicity. Standard uncertainties and correlation of the refined parameters have been derived based on a Monte Carlo procedure. The uncertainties are quite small and probably underestimated.