Abstract

Powder X-ray diffraction has some inherent advantages over traditional single-crystal X-ray diffraction in accurately determining electron densities and structural parameters due to the lower requirements for sample crystallinity, simpler corrections and measurement simultaneity. For some simple inorganic materials, it has been shown that these advantages can compensate for disadvantages such as peak overlap and error-prone background subtraction. Although it is challenging to extend powder X-ray diffraction-based electron-density studies to organic materials with significant peak overlap, previous results using a dedicated vacuum diffractometer with a large image-plate camera (AVID) demonstrated that it can be done. However, the vacuum setup with the off-line detector system was found to prohibit a widespread use. Fast microstrip detectors, which have been employed at a number of powder diffraction beamlines, have the potential to facilitate electron-density studies. Nevertheless, no electron-density studies even for materials with slight peak overlap have been performed with microstrip detectors. One of the most critical problems has been a difference in sensitivity between microstrip channels, which substantially defines the dynamic range of a detector. Recently, a robust approach to this problem has been developed and applied to a total scattering measurement system (OHGI) with 15 MYTHEN microstrip modules. In the present study, synchrotron powder X-ray diffraction data obtained with OHGI are evaulated in terms of multipole electron densities and structural parameters (atomic positions and displacement parameters). These results show that, even without a dedicated setup and perfect samples, electron-density modelling can be carried out on high-quality powder X-ray diffraction data. However, it was also found that the required prior information about the sample prohibits widespread use of the method. With the presently obtainable data quality, electron densities of molecular crystals in general are not reliably obtained from powder data, but it is an excellent, possibly superior, alternative to single-crystal measurements for small-unit-cell inorganic solids. If aspherical atomic scattering factors can be obtained from other means (multipole databases, theoretical calculations), then atomic positions (including for hydrogen) and anisotropic atomic displacement parameters (non-hydrogen atoms) of excellent accuracy can be refined from synchrotron powder X-ray diffraction data on organic crystals.

Highlights

  • All experimental electron densities (EDs) are determined from structure factors extracted from singlecrystal X-ray diffraction (SCXRD), since this has been regarded as the optimal way to obtain data of the highest quality (Koritsanszky & Coppens, 2001; Jørgensen et al, 2014)

  • We have shown that EDs in qualitative agreement with SCXRD results can be obtained from simple molecular crystals such as urea, even though both crystal strain and significant peak overlap are present (Svane et al, 2019)

  • To elucidate the effect of using externally determined aspherical atomic EDs to improve the quality of the structural parameters, the OHGI MM extracted structure factors are modelled using an ED model locked to the SC description for both urea and xylitol

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Summary

Introduction

All experimental electron densities (EDs) are determined from structure factors extracted from singlecrystal X-ray diffraction (SCXRD), since this has been regarded as the optimal way to obtain data of the highest quality (Koritsanszky & Coppens, 2001; Jørgensen et al, 2014). If aspherical atomic scattering factors for the bonded atoms in molecular crystals are known from external sources such as multipole databases like ELMAM (Zarychta et al, 2007; Domagała et al, 2012; Nassour et al, 2017), INVARIOM (Dittrich et al, 2004; 2013) or UBDB (Volkov et al, 2004; Kumar et al, 2019), or by theoretical calculations as in the Hirshfeld atom refinement approach (Jayatilaka & Dittrich, 2008; Fugel et al, 2018), the accuracy of structural parameters (atomic positions and ADPs) can be significantly improved in refinement of SCXRD data. We assess the quality of structural parameters and ED modelling based on data collected on the high-resolution OHGI setup of the BL44B2 beamline at SPring-8 (Kato & Tanaka, 2016; Kato et al, 2010, 2019; Kato & Shigeta, 2020) on diamond and the organic molecular crystals of urea and xylitol

Experimental details
86 Bjarke Svane et al Multipole electron densities from SPXRD data
Xylitol
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