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Journal ArticleDOI

Coherent X‐Ray Scattering for the Hydrogen Atom in the Hydrogen Molecule

Robert F. Stewart, +2 more
- 01 May 1965 - 
- Vol. 42, Iss: 9, pp 3175-3187
TLDR
In this paper, the x-ray form factors for a bonded hydrogen in the hydrogen molecule have been calculated for a spherical approximation to the bonded atom, and the corresponding complex scattering factors have also been calculated.
Abstract
The x‐ray form factors for a bonded hydrogen in the hydrogen molecule have been calculated for a spherical approximation to the bonded atom. These factors may be better suited for the least‐squares refinement of x‐ray diffraction data from organic molecular crystals than those for the isolated hydrogen atom. It has been shown that within the spherical approximation for the bonded hydrogens in H2, a least‐squares refinement of the atomic positions will result in a bond length (Re value) short of neutron diffraction or spectroscopic values. The spherical atoms are optimally positioned 0.07 A off each proton into the bond. A nonspherical density for the bonded hydrogen atom in the hydrogen molecule has also been defined and the corresponding complex scattering factors have been calculated. The electronic density for the hydrogen molecule in these calculations was based on a modified form of the Kolos—Roothaan wavefunction for H2. Scattering calculations were made tractable by expansion of a plane wave in spheroidal wavefunctions.

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Citations
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Journal ArticleDOI

Crystal structure refinement and electron density distribution in diaspore

TL;DR: Diaspore as discussed by the authors refined the crystal structure and electron distribution of AlOOH from 791 graphite-monochromatized MoKα data (maximum 2θ=130°) to R=0.035 (R w = 0.029).
Journal ArticleDOI

Bis(trimethylsilyl)amide und -methanide des Yttriums - Molekülstrukturen von Tris(diethylether-O)lithium-(μ-chloro)-tris[bis(trimethylsilyl)methyl]yttriat, solvensfreiem Yttrium-tris[bis(trimethylsilyl)amid] sowie dem Bis(benzonitril)-Komplex

TL;DR: The reaction of yttrium tris[bis(trimethylsilyl)amide] with benzonitrile yields the bis(benzonitriile) complex, which crystallizes in the triclinic space group P1 with a = 1 173,7(2), b = 1 210,3(2) and c = 1 912,4(3) as discussed by the authors.
Book ChapterDOI

Accurate X-Ray Diffraction and Quantum Chemistry: The Study of Charge Density Distributions

TL;DR: In this paper, the theory of X-ray scattering and the derivation of electron densities from X-Ray scattering amplitudes are discussed, and the comparison of theoretical and experimental densities is discussed.
Journal ArticleDOI

Unsaturated organometallic compounds of the main group elements. Dicyclopentadienylcalcium

TL;DR: In this paper, a cyclopentadienylcalcium, (C5H5)2Ca, has been isolated and characterized by mass spectroscopic and single X-ray crystallographic diffraction studies.
Journal ArticleDOI

Divalent metal–acetate complexes in concentrated aqueous solutions. An x‐ray diffraction and NMR spectroscopy study

TL;DR: In this paper, the authors investigated the complex formation between divalent metals and a typical organic complexing ligand in concentrated aqueous solutions using 13C NMR spectroscopy.
References
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Journal ArticleDOI

The Physical Nature of the Chemical Bond

TL;DR: In this article, the quantum mechanical wave functions of molecules are discussed and an attempt is made to effect a simultaneous regional and physical partitioning of the molecular density, the molecular pair density, and the molecular energy, in such a way that meaningful concepts can be associated with the density and energy fragments thus formed.
Journal ArticleDOI

The Problem of the Normal Hydrogen Molecule in the New Quantum Mechanics

TL;DR: The solution of Schroedinger's equation for the normal hydrogen molecule is approximated by the function $C[{e}^{\ensuremath{-}\frac{z({r}_{1}+{p}_{2})}{a}}+{e^{\ensem{-]-{m{e})+{m}−m{n}−n}]$ where m is the distance of one of the electrons to the two nuclei, and r is the distances of one electron to the other electron.
Journal ArticleDOI

The Normal State of the Hydrogen Molecule

TL;DR: In this paper, a simple wave function for the normal state of the hydrogen molecule, in which both the atomic and ionic configurations are taken into account, was set up and treated by a variational method.
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