Compton profile of vanadium carbide

The isotropic Compton profile of vanadium carbide has been measured using 59.54 keV gamma radiation. To compare the experimental result with theory the Compton profile has been calculated within the frame work of the renormalized free atom model considering different V 3d C 2p shell electronic configurations. The electronic shell configuration of V 3d^2.2C 2p^4.8 has been found to be appropriate for vanadium carbide.     

H-bond contribution to the Compton profile of water

Self-consistent wavefunctions are obtained in the HFX Xα model for a free water molecule as well as dimers and trimers. The dimer and trimer results are synthesized to deduce the contribution of the hydrogen bond to the Compton profile of water. This offers a very reasonable explanation for a substantial part of the difference between theoretical calculation on a free water molecule and experiment.     

Atoms and bonds in molecules and chemical explanations

The concepts of atoms and bonds in molecules which appeared in chemistry during the nineteenth century are unavoidable to explain the structure and the reactivity of the matter at a chemical level of understanding. Although they can be criticized from a strict reductionist point of view, because neither atoms nor bonds are observable in the sense of quantum mechanics, the topological and statistical interpretative approaches of quantum chemistry (quantum theory of atoms in molecules, electron localization function and maximum probability domain) provide consistent definitions which accommodate chemistry and quantum mechanics.     

Atoms and bonds in molecules from radial densities

Radial densities are explored as an alternative method for partitioning the molecular density into atomic regions and bonding regions. The radial densities for atoms in molecules are similar to those of an isolated atom. The method may also provide an alternative to Bragg-Slater radii.     

Compton profile of CH4 gas

New experimental results for the Compton profile of methane are presented. The data obtained by using 59.54 keV γ-rays from a ²⁴¹Am source are compared with theoretical calculations and with experimental results obtained from electron scattering. The comparison shows that substantial discrepancies still exist and the validity of the binary encounter approximation in electron spectroscopy is questioned.     

Atoms in molecules interpretation of the anomeric effect in the O--C--O unit

The conformational preferences of two model compounds for the O--CH2--O anomeric unit: methanediol and dimethoxymethane analyzed within the framework of the QTAIM theory provide a new interpretation of the anomeric effect. The characteristic stabilization of the gauche conformers of these compounds is accompanied by a progressive reduction of the electron population of the hydrogens of the central methylene as the number of their gauche interactions to lone pairs rises. The electron population removed from these atoms during the conformational change is gained in the gauche conformers by atoms of larger atomic number, which results in a more negative molecular energy. Also, the variations displayed by atomic populations and the QTAIM delocalization indexes are not keeping in line with the hyperconjugative model of the anomeric effect.     

Atoms and molecules in cavities: A method for study of spatial confinement effects

A general method for solving the problems of spatially confined quantum mechanical systems is proposed. The method works within the framework of the model space approximation. In the case of atoms and molecules trapped into any-shape microscopic cavity (like molecular sieves or fullerenes), the method reduces to a simple modification of the commonly used basis-set quantum chemical calculations. The modification consists of a particular rotation and projection in the model space, leading to solutions better adapted to the boundary conditions of the spatial confinement than the functions that describe the free systems. To illustrate how this method works, it has been applied to the hydrogen atom confined in a spherical well, near a hard wall and confined in a cubic box. The results are also compared to the exact solutions. © 1995 John Wiley & Sons, Inc.     

Compton suppression neutron activation analysis: Past,present and future

Conclusions In this work a review of the development of compton suppression is presented. It was shown that the application of Compton-suppression counting in instrumental NAA reduces the detection limits and improves the accuracy for a list of elements by substantial reduction of the background of the -spectroscopy. Results for certified reference materials obtained through the use of Compton suppression are normally more accurate and in agreement with the published values. Compton suppression is particularly helpful for low level concentrations in environmental samples to those elements which exhibit severe special interferences in the normal NAA counting. A list of the elements with isotopes having single or close to single -ray decay schemes and which could benefit from Compton-suppression counting is presented. Also, evaluation is made regarding the reliability of Compton suppression with increase in the overall dead-time of the counting. It was concluded that this method does not provide accurate quantification of the isotopes when the overall dead-time exceeds the 10% range. Investigation of the natural background was performed with Compton suppression for the purpose of neutron activation analysis application. The method presented proves to broaden the application of NAA and helps in its competition for simplicity, accuracy and reliability with the modern methods of elemental analysis. Future application of coincidence spectrometry in activation analysis should include better enclosing of the primary detector, utiliza5tion of x-ray and well type detectors, -, -, and -- coincidence techniques.     

Compton profiles and polarizability as two similar probes of the electronic structure of 14 electron diatomic molecules: An ab initio study

High‐ and low‐energy scattering properties, namely, Compton profiles and polarizability, respectively, were calculated at the configuration interaction (CI) level from molecular orbitals expressed in the linear combination of atomic orbitals (LCAO) model for 14 electron diatomic molecules. Extended atomic basis sets including about 100 Gaussian‐type functions (GTFs) were used. The isotropic and directional Compton profiles and the polarizability show that the behavior of CO and N₂ is rather similar but very different from that of BF. ©1999 John Wiley & Sons, Inc. Int J Quant Chem 71: 63–74, 1999     

Vicinal fluorine-fluorine coupling constants: Fourier analysis

Stereochemical dependences of vicinal fluorine-fluorine nuclear magnetic resonance coupling constants (3JFF) have been studied with the multiconfigurational self-consistent field in the restricted active space approach, with the second-order polarization propagator approximation (SOPPA), and with density functional theory. The SOPPA results show the best overall agreement with experimental couplings. The relationship with the dihedral angle between the coupled fluorines has been studied by Fourier analysis, the result is very different from that of proton-proton couplings. The Fourier coefficients do not resemble those of a typical Karplus equation. The four nonrelativistic contributions to the coupling constants of 1,2-difluoroethane configurations have been studied separately showing that up to six Fourier coefficients are required to reproduce the calculated values satisfactorily. Comparison with Fourier coefficients for matching hydrogen fluoride dimer configurations suggests that the higher order Fourier coefficients (Cn> or =3) originate mainly from through-space Fermi contact interaction. The through-space interaction is the main reason 3JFF do not follow the Karplus equation.     

Look Better: Single Atoms in Chemistry and Single Atoms in Physics

Fostering fruitful collaboration between chemistry and physics scholars, the analysis of the differences in the practical approach to single atoms in chemistry and in physics affords a number of conceptual outcomes pointing to a more balanced and useful relationship between chemistry and physics.     

Application of Compton scattering normalization method to the analysis of uranium ore

Compton scattering normalization method is described for the analysis of uranium bearing ore respect to the usage of K X-rays of uranium. Minimum backscatter energy is obtained at a scatter angle of 180° with fixed point source geometry and collimation in appropriate conclusions. By normalizing the intensities of uranium K-lines to the Compton profile in the measured spectra, the results do not depend on several measuring parameters such as primary radiation intensity, matrix, composition, mass of the sample and measuring time. The method presented in this study indicates the convenience of uranium K-lines analysis for thick targets with an adequate measuring geometry.     

On the fundamental conjecture of HDMR: a Fourier analysis approach

Although the HDMR decomposition has become an important tool for the understanding of high dimensional functions, the fundamental conjecture underlying its practical utility is still open for theoretical analysis. In this paper, we introduce the HDMR decomposition in conjunction with the Fourier-HDMR approximation leading to the following conclusions: (1) we suggest a type of Fourier-HDMR approximation for certain classes of differentiable functions; (2) utilizing the Fourier-HDMR method, we prove the fundamental conjecture about the dominance of low order terms in the HDMR expansion under relevant conditions, and we also obtain error estimates of the truncated HDMR expansion up to order u; (3) we prove the domain decomposition approximation theorem which shows that the global Fourier-HDMR approximation is not always optimal for a given accuracy order; (4) and finally, a piecewise Fourier-HDMR approach is discussed for high dimensional modeling. These results help to further understand how to efficiently represent the high dimensional functions.     

An analysis of the vibrational structure of high-resolution UV spectra and long-wave IR Fourier transform spectra in studies of internal rotation in molecules

The methods for analyzing the vibrational structure of high-resolution UV spectra and long-wave IR Fourier transform spectra in studies of internal rotation in α,β-unsaturated carbonyl compounds R₄R₃C=CR₂-COR₁ (R₁ = F, Cl; R₂ = R₃ = R₄ = H, CH₃) are compared. These methods were found to give different experimental values for systems of torsional vibration energy levels up to high quantum numbers, torsional frequencies (0–1 transitions), and anharmonicity coefficients x ₁₁ for trans and cis isomers of the same molecules in the ground electronic state (S ₀). It was shown that the experimental technique for analyzing the vibrational structure of UV spectra excludes the hydrolysis of compounds under study. Taking into account Fermi resonance and numerous Deslandres tables constructed for trans and cis isomers provides reliable determination of values necessary for the construction of internal rotation potential functions, because they are multiply repeated in various Deslandres tables. An analysis of the vibrational structure of UV spectra gives more reliable V _n internal rotation potential function parameters. The V _n parameter values were substantiated by quantum-mechanical calculations performed by other authors.     

X-ray fluorescence analysis of metals in ores and concentrates by Compton scattering

An X-ray fluorescence method for the analysis of ores and concentrates for one or more metals or other heavy elements is described. A tungsten-target tube is used and the spectral interference of Rayleigh and Compton scattered peaks reduced by a nickel filter. A correlation is established between the latter peak intensity and the mass absorption coefficient of the sample for the wavelength 1.6 Å. The values of mass absorption coefficients on both sides of any major element absorption edge are compared and their ratio correlated to the characteristic radiation intensity of that particular element. This permits calculation of mass absorption coefficients across major absorption edges by derivation from the measured μ 1.6 value. Spectral interferences and other difficulties advocate dilution of the samples with dipotassium disulfate. Element concentrations are calculated by comparison with a standard sample and relating mass absorption coefficients and characteristic radiation intensities of both standard and unknown. Precision and accuracy of the method are considered excellent, given the simple nature of the analytical procedure.