The procrystal calculation of the electron density is a very rapid procedure that offers a quick way to analyze various bonding
properties of a crystal. This study explores the extent to which the positions, number, and properties of bond-critical points
determined from the procrystal representations of the electron density for minerals are similar to those of first-principles
ab initio model distributions. The purpose of the study is to determine the limits imposed upon interpretation of the procrystal
electron density. Procrystal calculations of the electron density for more than 300 MO bonds in crystals were compared with those previously calculated using CRYSTAL98 and TOPOND software. For every bond-critical
point found in the ab initio calculations, an equivalent one was also found in the procrystal model, with similar magnitudes
of electron density, and at similar positions along the bonds. The curvatures of the electron densities obtained from the
ab initio and the procrystal distributions are highly correlated. It is concluded that the procrystal distributions are capable
of providing good estimates of the bonded radii of the atoms and the properties of the electron-density distributions at the
bond-critical points. Because the procrystal model is so fast to compute, it is especially useful in addressing the question
as to whether a pair of atoms is bonded or not. If the Bader criteria for bonding are accepted, then the successful generation
of the bond-critical points by the procrystal model demonstrates that bonding is an atomic feature. The main difference between
the critical-point properties of the procrystal and the ab initio model is that the curvature in the electron density perpendicular
to the bond path of the ab initio model is sharper than for the procrystal model. This is interpreted as indicating that the
electrons that migrate into a bond originate from its sides, and not from the regions closer to the nuclei. This observation
also suggests that ab initio optimization routines could see an improvement in speed if the parameters relating to the angular
components of atomic wave functions were to vary before the radial components.
Received: 6 August 2001 / Accepted: 21 November 2001 相似文献
Iron tracer diffusion experiments in diopside have been performed using natural and synthetic single crystals of diopside,
and stable iron tracers enriched in 54Fe, at temperatures in the range 950–1100 °C, total pressure 1 atm, for times up to 29 days. Iron isotope diffusion profiles
were determined with an ion microprobe. For experiments performed at log pO2 = −13, in directions parallel to the c axis and the b axis of two natural, low iron (Fe ∼ 1.8 at %) diopsides, the data obey
a single Arrhenius relationship of the form D = 6.22−5.9+49.6×10−15 exp(−161.5 ± 35.0 kJ mol−1/RT) m2 s−1. A single datum for iron diffusion in iron-free, single-crystal diopside at 1050 °C, is approximately 1 order of magnitude
slower than in the natural crystals. The pO2 dependence of iron diffusion in natural crystals at 1050 °C (power exponent = 0.229 ± 0.036) indicates a vacancy mechanism;
this is consistent with the results of unpublished atomistic simulation studies. There is no evidence of anisotropy for iron
diffusion in diopside.
Received: 16 March 1999 / Accepted: 10 April 2000 相似文献
Trace element partition coefficients (D's) for up to 13 REE, Nb, Ta, Zr, Hf, Sr and Y have been determined by SIMS analysis of seven garnets, four clinopyroxenes, one orthopyroxene and one phlogopite crystallized from an undoped basanite and a lightly doped (200 ppm Nb, Ta and Hf) quartz tholeiite. Experiments were conducted at 2–7.5 GPa, achieving near-liquidus crystallization at relatively low temperatures of 1080–1200°C under strongly hydrous conditions (5–27 wt.% added water). Garnet and pyroxene DREE show a parabolic pattern when plotted against ionic radius, and conform closely to the lattice strain model of Blundy and Wood (Blundy, J.D., Wood, B.J., 1994. Prediction of crystal–melt partition coefficients from elastic moduli. Nature 372, 452–454). Comparison, at constant pressure, between hydrous and anhydrous values of the strain-free partition coefficient (D0) for the large cation sites of garnet and clinopyroxene reveals the relative importance of temperature and melt water content on partitioning. In the case of garnet, the effect of lower temperature, which serves to increase D0, and higher water content, which serves to decrease D0, counteract each other to the extent that water has little effect on garnet–melt D0 values. In contrast, the effect of water on clinopyroxene–melt D0 overwhelms the effect of temperature, such that D0 is significantly lower under hydrous conditions. For both minerals, however, the lower temperature of the hydrous experiments tends to tighten the partitioning parabolas, increasing fractionation of light from heavy REE compared to anhydrous experiments.
Three sets of near-liquidus clinopyroxene–garnet two-mineral D values increase the range of published experimental determinations, but show significant differences from natural two-mineral D's determined for subsolidus mineral pairs. Similar behaviour is observed for the first experimental data for orthopyroxene–clinopyroxene two-mineral D's when compared with natural data. These differences are in large part of a consequence of the subsolidus equilibration temperatures and compositions of natural mineral pairs. Great care should therefore be taken when using natural mineral–mineral partition coefficients to interpret magmatic processes.
The new data for strongly hydrous compositions suggest that fractionation of Zr–Hf–Sm by garnet decreases with increasing depth. Thus, melts leaving a garnet-dominated residuum at depths of about 200 km or greater may preserve source Zr/Hf and Hf/Sm. This contrasts with melting at shallower depths where both garnet and clinopyroxene will cause Zr–Hf–Sm fractionation. Also, at shallower depths, clinopyroxene-dominated fractionation may produce a positive Sr spike in melts from spinel lherzolite, but for garnet lherzolite melting, no Sr spike will result. Conversely, clinopyroxene megacrysts with negative Sr spikes may crystallize from magmas without anomalous Sr contents when plotted on mantle compatibility diagrams. Because the characteristics of strongly hydrous silicate melt and solute-rich aqueous fluid converge at high pressure, the hydrous data presented here are particularly pertinent to modelling processes in subduction zones, where aqueous fluids may have an important metasomatic role. 相似文献
Helium isotope analyses are central to modern earth science and measured by many noble gas laboratories around the globe (Burnard, 2013; Wieler et al., 2002), spanning a wide spectrum of fundamental research – from identifying primordial reservoirs in the Earth mantle to paleoclimate reconstructions. The CRONUS-Earth initiative included the manufacturing, distribution and analysis of a pyroxene reference material (CRONUS-P) that was designed to be useful for internal reliability control of 3He measurements within a few percent and potentially for 4He on a higher level of uncertainty.This short paper describes the CRONUS-P material and its performance as 3He and 4He reference sample for noble gas laboratories. The companion paper by Blard et al. 2015 describes in depth the inter-laboratory helium isotope experiment within CRONUS-Earth.We show normalized helium isotope data of CRONUS-P measured at three different noble gas laboratories. Data from all three laboratories show no relation between helium isotope concentrations and sample mass, implying that the material is homogeneous. The data show that CRONUS-P is useful as an internal standard for 3He within better 2% (1σ) and for 4He within better 10%. 相似文献
Fluid transport on the grain-scale controls many rock properties and governs chemical exchange. Charnockites from Lofoten
indicate fluid penetration into ternary alkali feldspars controlled by their microtextures. In a process of fluid infiltration
at granulite-facies conditions (∼600°C and 8–11 kbar), tiny pyroxenes enclosed in alkali feldspar reacted to amphiboles, which
are always spatially connected to perthitic albite. Investigation of these microtextures by TEM imaging of Focused Ion Beam
(FIB) prepared foils revealed that pyroxenes in contact with albite lamellae show dissolution features. An amorphous Fe- and
Cl-bearing material interpreted to be a residuum of the percolating fluid was found within albite lamellae. Textures and mineral
compositions indicate that a Cl-rich aqueous fluid attacked the lamellae, which then provided pathways for further fluid flow.
A correspondence was found between feldspar compositions, their microtexture and their degree of alteration as a result of
their permeability for fluids at specific temperatures. Hence, in addition to pressure and temperature, small variations of
feldspar composition can strongly influence the fluid permeability of feldspathic rocks under lower crustal conditions. 相似文献