A century of progress in the sciences due to atomic weight and isotopic composition measurements

Even before the 20th century, a consistent set of internationally accepted atomic weights was an important objective of the scientific community because of the fundamental importance of these values to science, technology and trade. As the 20th century progressed, physicists, geoscientists, and metrologists collaborated with chemists to revolutionize the science of atomic weights. At the beginning of the century, atomic weights were determined from mass relationships between chemical reactants and products of known stoichiometry. They are now derived from the measured isotopic composition of elements and the atomic masses of the isotopes. Accuracy in measuring atomic weights has improved continually, leading to the revelation of small but significant variations in the isotope abundances of many elements in their normal terrestrial occurrences caused by radioactivity and a variety of physicochemical and biochemical fractionation mechanisms. This atomic-weight variability has now been recognized as providing new scientific insights into and knowledge of the history of materials. Atomic weights, except those of the monoisotopic elements, are thus no longer regarded as "constants of nature". At the beginning of the 20th century, two scales for atomic weights were in common use: that based on the atomic weight of hydrogen being 1 and that based on the atomic weight of oxygen being 16. Atomic weights are now scaled to (12)C, which has the value 12 exactly. Accurate atomic weights of silicon, silver, and argon, have enabled the values of the Avogadro, Faraday and Universal Gas constants, respectively, to be established, with consequent effects on other fundamental constants.     

Remarks on the concept of an atom in a molecule and on charge transfer between atoms on molecule formation

Density functional theory provides a natural and rigorous definition of an atom in a molecule in its ground state: The molecular electron density is the sum of atomic densities, the atoms have the same chemical potential as does the molecule, and the atoms are minimally promoted from their ground states. These atoms in general are not spherical, and in general they bear nonintegral charges. Charge transfer on molecule formation is thereby uniquely defined. Calculations by Palke and by Guse are reviewed, in which the hydrogen atom is identified in the hydrogen molecule.     

Fractional mass values of large molecules

From the standpoint of relative molecular mass (RMM) determination by mass spectrometry, the average relative molecular masses of organic molecules in the range over 2000 daltons are significantly influenced both by the fractional masses of the constituent elements and by natural variations in isotopic abundance. Differences between monoisotopic RMM and relative atomic mass (RAM) based RMM tend characteristically to differ between major classes of biomolecules primarily because of molar carbon content, the difference between polypeptides and nucleic acids being about 4 daltons at M_r = 25 000. Considering terrestrial sources alone, variations in the isotopic abundance of carbon lead to differences of about 10–25 ppm in average molecular mass, which is significant with respect to present mass measurement capability in the region up to several thousand daltons. Comments are made concerning the calculation of average RMM values horn isotopic probability profiles versus those from RAMs.     

ICP-AES法测定方铅矿中多元素的方法研究

采用电感耦合等离子体原子发射光谱法(ICP-AES)进行方铅矿中多元素同时测定.通过对方铅矿样品化学处理试验建立了HCl-NH4Cl-HNO3的溶矿体系.本体系采用基体匹配、背景系数和元素干扰系数校正及元素内标法确定了最佳综合实验测试条件.本实验建立的ICP-AES法同时测定方铅矿中镉、钴、铜、铁、铟、铅、锌7种元素的方法,本方法测量相对误差RE (n=8)为1.50%～7.50%,相对标准偏差RSD (n=8)为1.7%～5.7%.经国家一级标准物质GBW 07269分析验证可以满足方铅矿单矿物样品的分析要求.     

大庆地区城市污泥中重金属元素含量水平调查与分析

采用原子吸收光谱法和原子荧光光谱法测定了大庆市四座生活污水处理厂污泥中重金属元素含量,平行测定的相对标准偏差在1.6%~4.6%,加标回收率在93.6%~102.1%,表明方法的精密度和准确度都较好,四个污水处理厂污泥中重金属总量大小依次为ZnCuCrPbNiCd,锌的含量高可能与城市排水管道大多采用镀锌材料以及锌的理化性质有关。将其含量水平与标准比较发现:大庆城市污泥中重金属含量水平不高,完全符合《农用污泥中污染物控制标准》的重金属标准,为城市污泥处理、处置和环境管理提供可靠的数据支持。     

Combined use of atomic spectrometric methods in the analysis of rocks

Standard reference materials of limestone, granite and argillite were analyzed by X-ray fluorescence spectrometry (XFS), flame and graphite furnace atomic absorption spectrometry (F-AAS and G-AAS), and inductively coupled plasma atomic emission spectrometry (ICP-AES). The major elements Al, Ca, Fe, Si and Ti were determined by XFS and ICP-AES. The relative standard deviations (RSD) of the concentrations of the corresponding oxides obtained by XFS and ICP-AES were (1.36±0.51)% (n=18) and (1.30±0.70)% (n=17), respectively, on the average. The relative deviations (RD) from the certified values were (1.29±3.01)% (n=18) and (–0.69±5.48)% (n=14), respectively, on the average. The numbers in parentheses are the numbers of the single RSD- and RD-values used for the calculation of the averages and the relative standard deviations. Some minor and trace elements of the standard reference materials were determined by G-AAS and ICP-AES. The precision (RSD) was markedly better in the case of ICP-AES. On the other hand, the accuracy (RD) of both methods was about the same (7%). Apparently, the precision and the accuracy are primarily determined by the measuring technique and the sample pretreatment procedure, respectively. The analytical power of the combined use of atomic spectrometric methods is also discussed.     

Glow discharge excitation and matrix effects in the Zn–Al–Cu system in argon and neon

Matrix effects and other deviations from the standard model of glow discharge optical emission spectroscopy (GD-OES) have been investigated in the Zn–Al–Cu system in a Grimm-type discharge in argon and neon. In ionic spectra of the elements that can be ionized by asymmetric charge transfer with ions of the discharge gas, most observed deviations from the standard model can be explained by variations of the number density of ions of the discharge gas, caused by asymmetric charge transfer reactions with the matrix element. Similar mechanism, but involving metastables of the discharge gas, was observed for the Cu II spectrum in neon. Some matrix effects in atomic spectra of aluminium and possibly also copper suggest that three-body recombination of ions of the discharge gas, assisted by an analyte atom, is responsible for excitation of certain atomic levels of the analyzed elements. Excited atomic states of the analyzed elements have higher fractional populations in neon than argon, by factors that are similar for all three elements and the median of which is slightly less than 3. It is shown which lines are free of matrix effects and suitable for highly accurate analysis of Zn–Al–Cu alloys by GD-OES and how to optimize the calibration model. Neon can be a reasonable alternative to argon as the discharge gas for some applications.     

About the dependence of the intensity of X-ray spectra of elements on their concentrations expressed in atomic and mass percents

The consideration of the classical physical fundamentals of X-ray spectrometry suggests that the properties of X-ray spectra of elements are determined by their atomic number rather than atomic weight. The intensity of X-ray spectra is determined by the number of excited atoms rather by their mass. However, in the middle of the 20th century, the dependence of intensity on the mass concentration of elements was introduced without any physical grounds. The paper presents physical, analytical, and metrological evidences for the idea that this dependence does not correspond to a real physical process. It results in distorted calibration characteristics and extra errors and hinders the development of a method of universal (for all element systems) quantitative X-ray fluorescence analysis instead of specific procedures with empirical parameters for each particular system. The dependence on atomic concentrations eliminates these difficulties.     

Determination of trace elements in Antarctic krill samples by inductively coupled atomic emission and graphite furnace atomic absorption spectrometry

Analytical methods were developed for the determination of trace elements in Antarctic krill samples applying inductively coupled plasma atomic emission spectrometry (ICP-AES) and graphite furnace atomic absorption spectrometry (GF-AAS). Cu, Fe, Mn and Zn were determined by ICP-AES, while Cd and Pb by GF-AAS technique. Two microwave assisted digestion procedures were elaborated for the preparation of 0.5-g krill samples using open and closed vessel systems. The efficiency of the digestion processes was checked by measurements of the total organic carbon content of the solutions obtained. The deviations of the analytical data from the certified values and the relative standard deviations of the concentration measurements were lower for all six elements investigated applying the closed vessel digestion system.     

A comparative study of molecular dynamics in Cartesian and in internal coordinates: dynamical instability in the latter caused by nonlinearity of the equations of motion

The stability of a general molecular dynamics (MD) integration scheme is examined for simulations in generalized (internal plus external) coordinates (GCs). An analytic expression is derived for the local error in energy during each integration time step. This shows that the explicit dependence of the mass-matrix on GCs, which makes the system's Lagrange equations of motion nonlinear, causes MD simulations in GCs to be less stable than those in Cartesian coordinates (CCs). In terms of CCs, the corresponding mass-matrix depends only on atomic masses and thus atomistic motion is subject to the linear Newton equations, which makes the system more stable. Also investigated are two MD methods in GCs that utilize nonzero elements of the vibrational spectroscopic B-matrices. One updates positions and velocities in GCs that are iteratively adjusted so as to conform to the velocity Verlet equivalent in GCs. The other updates positions in GCs and velocities in CCs that are adjusted to satisfy the internal constraints of the new constrained WIGGLE MD scheme. The proposed methods are applied to an isolated n-octane molecule and their performances are compared with those of several CCMD schemes. The simulation results are found to be consistent with the analytic stability analysis. Finally, a method is presented for computing nonzero elements of B-matrices for external rotations without imposing the Casimir-Eckart conditions.     

火花放电原子发射光谱分析方法测定镍基合金中12种元素

化学元素的含量及其变化影响镍基合金材料的各项性能。因此准确检测镍基合金化学成分并对其严格控制,对提高和保证镍基合金材料性能具有重要意义。通过对仪器分析条件进行优化,采用控制样品法,建立了用火花放电原子发射光谱测定镍基合金中Al、C、Cr、Co、Cu、Fe、Nb、P、Si、S、W、Mo等12种元素含量的方法。优化的试验条件如下：①吹氩时间6 s;②预燃时间6 s;③积分时间8 s。应用此方法分析了三种常规镍基合金样品,测定值与现行国家标准分析方法结果一致。     

火花放电原子发射光谱法测定镍基合金中12种元素

化学元素的含量及其变化影响镍基合金材料的各项性能.因此准确检测镍基合金化学成分并对其严格控制,对提高和保证镍基合金材料性能具有重要意义.通过对仪器分析条件进行优化,采用控制样品法,建立了用火花放电原子发射光谱法测定镍基合金中Al、C、Cr、Co、Cu、Fe、Nb、P、Si、S、W、Mo等12种元素含量的方法.采用优化的...     

In-situ vaporization and matrix removal for the determination of rare earth impurities in zirconium dioxide by electrothermal vaporization inductively coupled plasma atomic emission spectrometry

A novel method for the determination of trace rare earth impurities in ZrO₂ powder has been developed based on electrothermal vaporization inductively coupled plasma atomic emission spectrometry. A polytetrafluoroethylene slurry was used as a fluorinating reagent to convert both the matrix (Zr) and the analytes (rare earth elements) into fluorides with different volatilities at a high temperature in a graphite furnace. The more volatile ZrF₄ was removed in-situ by selective vaporization prior to the determination of the analytes, removing matrix spectral interferences. Under optimum operating conditions, the absolute detection limits of the analytes varied from 0.04 ng (Yb) to 0.50 ng (Pr) with relative standard deviations less than 5%. The recommended approach has been successfully applied to the determination of trace rare earth impurities (La, Pr, Eu, Gd, Ho and Yb) in ZrO₂ powder and the results were in good agreement with those obtained by pneumatic nebulization inductively coupled plasma atomic emission spectrometry after the separation of the matrix using a solvent extraction procedure.     

The weak nuclear force, the chirality of atoms, and the origin of optically active molecules

Although chemical phenomena are primarily associated with electrons in atoms, ions, and molecules, the masses, charges, spins, and other properties of the nuclei in these species contribute significantly as well. Isotopes, for instance, have proven invaluable in chemistry, in particular the elucidation of reaction mechanisms. Elements with unstable nuclei, for example carbon-14 undergoing beta decay, have enriched chemistry and many other scientific disciplines. The nuclei of all elements have a much more subtle and largely unknown effect on chemical phenomena. All nuclei are innately chiral and, because electrons can penetrate nuclei, all atoms and molecules are likewise chiral. This article describes in considerable detail the discovery of chiral nuclei, how this unusual chirality may influence the chemical behavior of atoms and molecules, and how atomic chirality may have been responsible for the synthesis of optically active molecules in the pre-biotic world.     

Implementation of screened hybrid density functional for periodic systems with numerical atomic orbitals: basis function fitting and integral screening

We present an efficient O(N) implementation of screened hybrid density functional for periodic systems with numerical atomic orbitals (NAOs). NAOs of valence electrons are fitted with gaussian-type orbitals, which is convenient for the calculation of electron repulsion integrals and the construction of Hartree-Fock exchange matrix elements. All other parts of Hamiltonian matrix elements are constructed directly with NAOs. The strict locality of NAOs is adopted as an efficient two-electron integral screening technique to speed up calculations.     

Determination of absolute configuration using X-ray diffraction

Methods for determination of absolute structure using X-ray crystallography are described, with an emphasis on applications for absolute configuration assignment of enantiopure light-atom organic compounds. The ability to distinguish between alternative absolute structures by X-ray crystallography is the result of a physical phenomenon called resonant scattering, which introduces small deviations from the inherent inversion symmetry of single-crystal X-ray diffraction patterns. The magnitude of the effect depends on the elements present in the crystal and the wavelength of the X-rays used to collect the diffraction data, but it is always very weak for crystals of compounds containing no element heavier than oxygen. The precision of absolute structure determination by conventional least squares refinement appears to be unduly pessimistic for light-atom materials. Recent developments based on Bijvoet differences, quotients and Bayesian statistics enable better and more realistic precision to be obtained. The new methods are sensitive to statistical outliers, and techniques for identifying these are summarised.     

Shannon information entropy of fractional occupation probability as an electron correlation measure in atoms and molecules

A new method to determine electron correlation energy is presented for atoms and molecules. This method is based on Shannon information entropy that is obtained by fractional occupation probabilities of natural atomic orbitals. It is indicated that the Shannon entropy increases as the number of electrons increases and thus can be considered as a possible measure for the electron correlation in atomic and molecular systems. For neutral atoms and singly charged positive ions we proposed an expression for correlation energy with explicit dependence on the Shannon entropy and atomic number. The obtained correlation energies have been used to compute the first ionization potentials of the ground state of the main group elements from hydrogen through krypton. The calculated ionization potentials are in reasonably good agreement with their corresponding experimental values.We also developed the additivity scheme to find a connection between Shannon entropy and molecular correlation energy. The estimated molecular correlation energies show an excellent agreement with those obtained by elaborate G3 method with R² = 0.990.     

Simple method for the precise calculation of atomic energy levels of IB elements in the periodic table

Due to the complicated and typical electronic structure of atoms and ions of the IB group in the periodic table, theoretical calculation of their atomic energy levels has important theoretical and practical significance. In this article, the theoretical calculation of atomic energy levels of the atoms of IB group in the periodic table was completed for the first time within the scheme of the weakest bound electron potential model theory. The results were compared with experimental values and the deviations are about 0.1–1 cm^?1. © 2002 Wiley Periodicals, Inc. Int J Quantum Chem, 2002     

Hard and soft acids and bases: atoms and atomic ions

The structural origin of hard-soft behavior in atomic acids and bases has been explored using a simple orbital model. The Pearson principle of hard and soft acids and bases has been taken to be the defining statement about hard-soft behavior and as a definition of chemical hardness. There are a number of conditions that are imposed on any candidate structure and associated property by the Pearson principle, which have been exploited. The Pearson principle itself has been used to generate a thermodynamically based scale of relative hardness and softness for acids and bases (operational chemical hardness), and a modified Slater model has been used to discern the electronic origin of hard-soft behavior. Whereas chemical hardness is a chemical property of an acid or base and the operational chemical hardness is an experimental measure of it, the absolute hardness is a physical property of an atom or molecule. A critical examination of chemical hardness, which has been based on a more rigorous application of the Pearson principle and the availability of quantitative measures of chemical hardness, suggests that the origin of hard-soft behavior for both acids and bases resides in the relaxation of the electrons not undergoing transfer during the acid-base interaction. Furthermore, the results suggest that the absolute hardness should not be taken as synonymous with chemical hardness but that the relationship is somewhat more complex. Finally, this work provides additional groundwork for a better understanding of chemical hardness that will inform the understanding of hardness in molecules.