Monthly Notices of the Royal Astronomical Society · 2011 · 28 citations · 32 references
Natural SciencesChemistryMaterials ScienceCeramic MaterialsMaterials CharacterizationSpectroscopyAbsorption SpectroscopyInfrared SpectroscopyInorganic SpectroscopyOptical Properties Of SolidsOptical SpectroscopyVibrational SpectroscopyGaussian Basis FunctionsGaussian Basis SetsInfrared Absorption SpectraInfrared Absorption SpectroscopyInfrared SpectraLattice ConstantsReflectanceVibrational Frequencies
Infrared (IR) spectra provide a rich amount of information concerning chemical composition, lattice structure, size and shape of circumstellar dust. Accurate reference data are then required for the analysis of the various detected components. This study provides the IR characterization of one of the most frequently observed compounds, MgSiO3 ortho-enstatite, and shows that IR experiments and ab initio techniques can be used synergically to obtain high-quality data concerning crystalline materials. The IR reflectance spectrum of synthetic ortho-enstatite was collected and compared to ab initio results (Gaussian-type basis set, PBE0 hybrid density functional theory (DFT) functional). An excellent agreement is observed both for vibrational frequencies (ν) and intensities, the latter estimated through the oscillator strength. The mean absolute difference between experimental and calculated ν is of the order of 7–8 cm−1 (43 out of 65 peaks differ by less than 10 cm−1, only four peaks differ by 15–19 cm−1). The static dielectric tensor and its components (electronic and ionic contributions) were measured and compared to calculated data: differences are in the 2–5 per cent range.
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Dynamical Theory of Crystal Lattices
Max Born, Kun Huang, M. Lax · American Journal of Physics · 1955 · 10.6K citations
A new approach to variable metric algorithms
R. Fletcher · The Computer Journal · 1970 · 4.1K citations · Full text
Conditioning of quasi-Newton methods for function minimization
David F. Shanno · Mathematics of Computation · 1970 · 3.7K citations · Full text