On the theory of Al,Si ordering in albite

Calculations of the equilibrium distribution of Al, Si in the albite framework based on quasi-chemical theories of order, disorder transformations (Yang 1945; Yang and Li 1947; Li 1949) were made for a two-dimensional framework model. The ordering is caused by the energy of Al, Si interchange between sites of different crystal-chemical types and the energy of nearest neighbour interaction. By taking into account the decrease in the energy of interchange between sites with increasing disordering and with increasing temperature, and by examining different relationships for site-to-site interchange energy and the nearest neighbour interaction, it is possible to understand the basic characteristics of the transformation from low (essentially ordered) to high (essentially disordered) albite as revealed by experiment. These characteristics are: (1) abrupt variation of the equilibrium degree of order within a narrow temperature range and possible first order phase transformation for the transition from low-albite to high-albite, (2) hysteresis of the synthetic high albite transformation path and of the low albite hydrothermal “annealing” path, (3) presence of a temperature range where high albite is stable and has a continually changing equilibrium degree of order.     

Al/Si interdiffusion in albite: effect of pressure and the role of hydrogen

The effect of pressure on the rate of Al/Si disorder in albite has been determined at temperatures from 800° C to 1050° C and at pressures up to 24 kbar, using dried samples in welded Pt containers, in piston-cylinder devices and internally-heated gas apparatus. In the piston-cylinder device with NaCl medium, the effect of pressure is profound. A pure low albite from Clear Creek, California reaches the equilibrium state of disorder at 850° C and 22 kbar in 10 h, whereas at 6 kbar it has not equilibrated in three weeks, and at one bar it probably cannot be disordered at 850° C in the laboratory. The enhancement of Al/Si interdiffusion takes place under dry conditions: any H₂O penetrating the samples would have produced melting, and none was observed. Hydrogen, however, is produced by dissociation of moisture in the pressure medium and can penetrate the Pt sample capsules. If the samples are deprived of hydrogen by replacing NaCl with glass or by embedding the samples in a hydrogen getter such as Fe₂O₃ or ZnO, the order-disorder reaction is greatly inhibited.A mechanism is suggested in which OH^– groups are formed by hydrogen hopping in albite. The smaller charge on the tetrahedral complex induces transient coordination of Al greater than four at elevated pressures, facilitating Al/Si interchange during the bond-breaking process. This results in an exponential pressure dependence of diffusion. It is also suggested that the presence of hydrogen at high pressures can greatly effect the mechanical properties and reactivity of deep crustal and mantle rocks. In nature, as well as in the laboratory, equilibration at elevated pressures may be as much dependent on the availability of hydrogen as on time or temperature.     

Si,Al ordering in leucite by high-resolution 27Al MAS NMR spectroscopy

High-resolution ²⁷Al MAS NMR spectra of natural leucite recorded at H ₀=11.7T contain three resolvable resonances at ²⁷Al δ _i = 69.2, 64.7, and 61.0±0.5 ppm. These three resonances are assigned to the three inequivalent framework positions of leucite: T3, T2, and T1, respectively. Fitting the observed spectra yields a Si,Al distribution for leucite in which approximately one-half of the Al is in T1 and one-quarter in each of T2 and T3. This Si,Al distribution differs substantially from those obtained by previous workers using ²⁹Si NMR spectroscopy and X-ray diffraction. New ²⁹Si NMR spectra and revision of previously reported ²⁹Si NMR peak assignments, however, make the ²⁷Al and ²⁹Si NMR results consistent. The ²⁷Al δ _i correlate linearly with the mean T-O-T′ bond angles of the average structure, which allows the peak assignments to be made. However, this correlation lies distinctly toward higher frequency and larger bond angles than correlations for Si,Al ordered aluminosilicates, suggesting that the mean T(Al)-O-T′(Si) bond angle for each site in leucite is smaller than the mean bond angle of the average structure, which is averaged over T(Al)-O-T′(Si) and T(Si)-OT′(Si,Al) angles.     

Degree of Al/Si order in potassium feldspars. A combination of X-Ray and infrared data

Unit-cell parameters, c ^*/b^* ratios, Δbc values (Stewart and Ribbe, 1969), Or contents and the positions of two of the characteristic infared absorption bands are presented for 16 K-rich and for 5 Na-rich alkali feldspar samples. A more specific interpretation is given for the characteristic absorption bands. It is shown that the position of one of the infrared absorption bands depends on the degree of Al/Si order whereas the other depends both on the degree of Al/Si order and to a lesser degree on chemical composition. It is recommended that a combination of X-ray and infrared data is useful in studying certain mineralogical and petrogenetic problems associated with the alkali feldspars.     

Calibration of Al/Si order variations in anorthite

New single crystal diffraction data for natural and heat-treated anorthite crystals (Angel et al. 1990) allow the determination of their states of Al/Si order in terms of a macroscopic order parameter,Q _OD , for the transition. Numerical values ofQ _OD obtained from estimates of site occupancies are shown to vary with the scalar spontaneous strain, _s , as _s Q _OD ² , and with the ratio of the sums of typeb (superlattice) reflections and typea (sublattice) reflections asI _b/I _a Q _OD ² . An empirical calibration for pure anorthite is obtained giving varies between 0.92 and 0.87 in samples equilibrated at T1300° C, but then falls off relatively rapidly with increasing temperature, reaching 0.7 near the melting point ( 1557° C). The observed temperature dependence does not conform to the predictions of the simplest single order parameter models; coupling ofQ _OD withQ of the transition is suspeeted.     

Kinetic rate laws derived from order parameter theory III: Al,Si ordering in sanidine

The time dependence of the ordering and disordering of Al and Si in sanidine is described within the framework of the kinetic rate laws developed in papers I and II of this series. It was found that the relevant order parameter Q _t is homogeneous and non-conserved. The rate law is:

Beta track autoradiography and infrared spectroscopy bearing on the solubility of CO2 in albite melt at 2 GPa and 1450° C

Albite glasses with 0.5–2.0 wt.% CO₂ synthesized at 2 GPa and 1450° C, previously analyzed by beta track autoradiography (Tingle 1987), have been analyzed by infrared spectroscopy. Values of CO₂ concentration determined by the beta track technique are 10–50% greater than the amount of CO₂ added to the sample. Values determined by infrared spectroscopy match the loaded CO₂ contents, substantiating the existence of a previously unrecognized error in the beta track technique. Concentrations, and hence solubilities, in albite determined by infrared spectroscopy are more accurate than those determined by beta track autoradiography. Values obtained by the beta track technique for diopside are 10% lower than the loaded CO₂ contents (Tingle 1987) and suggest that the systematic error may be dependent on composition and/or density.     

Al,Si ordering in cordierite using “magic angle spinning” NMR

A method of determining the number of Al-O-Al bonds per unit cell from ²⁹Si nuclear magnetic resonance (NMR) data of synthetic cordierites with increasing Si, Al order is described. The number of Al-O-Al bonds is found to vary linearly with the logarithm of the annealing time. This may be correlated with previously published heat of solution data on similar samples (Carpenter et al. 1983) to determine the enthalpy change Δh, associated with a single Al?Si interchange in cordierite. Δh is found to be 8.1 kcal/mole. The NMR data show that the short range Al, Si order cannot be described in terms of twin domains of ordered orthorhombic cordierite. An ordering model derived from group theoretical constraints on possible Al, Si distributions within the hexagonal symmetry of the cordierite is found to provide a better fit to the NMR data.     

Calculation of the configurational entropy of Al, Si in layer silicates using the cluster variation method

Entropies of Al-Si in layer silicates have been calculated using a series of CVM approximations for the honeycomb lattice. The parameters of the models have been constrained by ²⁹Si NMR data. The results of low order approximations such as “pair” and “star” have been rejected because of their low accuracy at high Al/(Al+Si) ratios. Reasonably accurate results have been achieved with the help of the “hexagon” and “star-hexagon” approximations. Received: 31 October 1997 / Revised, accepted: 17 April 1998     

First-principles calculations of equilibrium fractionation of O and Si isotopes in quartz,albite, anorthite,and zircon

In this study, we used first-principles calculations based on density functional theory to investigate silicon and oxygen isotope fractionation factors among the most abundant major silicate minerals in granites, i.e., quartz and plagioclase (including albite and anorthite), and an important accessory mineral zircon. Combined with previous results of minerals commonly occurring in the crust and upper mantle (orthoenstatite, clinoenstatite, garnet, and olivine), our study reveals that the Si isotope fractionations in minerals are strongly correlated with SiO₄ tetrahedron volume (or average Si–O bond length). The ³⁰Si enrichment order follows the sequence of quartz > albite > anorthite > olivine ≈ zircon > enstatite > diopside, and the ¹⁸O enrichment follows the order of quartz > albite > anorthite > enstatite > zircon > olivine. Our calculation predicts that measurable fractionation of Si isotopes can occur among crustal silicate minerals during high-temperature geochemical processes. This work also allows us to evaluate Si isotope fractionation between minerals and silicate melts with variable compositions. Trajectory for δ³⁰Si variation during fractional crystallization of silicate minerals was simulated with our calculated Si isotope fractionation factors between minerals and melts, suggesting the important roles of fractional crystallization to cause Si isotopic variations during magmatic differentiation. Our study also predicts that δ³⁰Si data of ferroan anorthosites of the Moon can be explained by crystallization and aggregation of anorthite during lunar magma ocean processes. Finally, O and Si isotope fractionation factors between zircon and melts were estimated based on our calculation, which can be used to quantitatively account for O and Si isotope composition of zircons crystallized during magma differentiation.     

Kinetic rate laws derived from order parameter theory IV: Kinetics of Al,Si disordering in Na-feldspars

The kinetic rate laws of Al-Si disordering under dry conditions (T = 1353K, 1253 K, 1223 K, 1183 K) and in the presence of water (p = 1 kbar, T = 1023 K, 1073 K, 1103 K) were studied both experimentally and theoretically. A gradual change of the degree of order was found under dry conditions. For intermediate degrees of order broad distributions of the order parameter Q _od occur. The variations of Q _od are correlated with structural modulations as observed in the transmission electron microscope. The time evolution of the mean value of Q _od can be well described by the rate law: $$\frac{{dQ_{od} }}{{dt}} = - \frac{\gamma }{{RT}}\exp \sum\limits_{i = 1}^n {X_i^2 } \left[ {\frac{{ - (G_a^0 + \varepsilon (\Delta Q_{od} )^2 )}}{{RT}}} \right]\frac{{dG}}{{dQ_{od} }}$$ with the excess Gibbs energy G and G _a ⁰ = 433.8 kJ/mol, ?= -27.4 kJ/mol, γ = 1.687 · 10¹⁴ h ^?1. Under wet conditions, two processes were found which occur simultaneously. Firstly, some material renucleated with the equilibrium degree of order. Secondly, the bulk of the material transformed following the same rate law as under dry conditions but with the reduced activation energy G _a ⁰ = 332.0 kJ/mol and ? = -43.0 kJ/ mol, γ = 1.047 · 10¹³ h^?1. The applicability of the kinetic theory is discussed and some ideas for the analysis of geological observations are evolved.     

电感耦合等离子体发射光谱法测定含刚玉的铝土矿中硅铝铁钛

铝土矿具有较强的化学稳定性,常含有少量刚玉,属于比较难处理的样品。常用的四酸溶解法对不含刚玉的铝土矿能取得较好的效果,但对高铝及含刚玉的样品分解不完全且无法同时测定硅。本文对含刚玉的铝土矿样品在镍坩埚中用氢氧化钠-过氧化钠熔融,盐酸酸化后用电感耦合等离子体发射光谱法同时测定硅铝铁钛四种元素。对氢氧化钠-过氧化钠的熔样效果、过氧化钠用量、熔样温度、共存离子的影响及基体干扰进行了试验,结果表明,加入3.0 g氢氧化钠和1.0 g过氧化钠在650~700℃保温10 min,能较好地熔解含少量刚玉的铝土矿样品。利用铝土矿标准物质制备标准溶液,可消除镍坩埚和熔融试剂产生的镍盐和钠盐基体对硅铝铁钛测定的干扰。方法检出限为0.0025%~0.063%,精密度小于4%。铝土矿国家标准物质的测定值与标准值相符,实际样品的测定值与其他分析方法的测定值相吻合。本方法样品分解完全,消解时间短,分析步骤简单,适用于高铝及含少量刚玉的铝土矿样品分析。     

ICP—AES法测定镁合金中微量铜、锰、锌、铝、铁、硅

用电感耦合等离子体发射光谱（ICP—AES）法测定了镁合金中Cu、Mn、Zn、Al、Fe、Si等元素,进行了模拟基体匹配实验,消除了镁基干扰。用饱和硼酸溶液络合过量的氟离子,可准确测定溶液中微量Si元素。国家标准物质ZM3测定值与推荐值较吻合,方法检出限为0．003μg／g～0．053μg／g,相对标准偏差RSD〈4％。     

微波消解ICP-AES法测定石油样品中镍钒铝硅

Ni、V、Al、Si是石油的天然组分。其中Ni和V来源于形成石油的原始物质,它们易形成大而复杂的分子,从而使沸点非常高。含Ni和V的化合物在提炼过程中无法蒸馏,不能很经济地从燃料中去除。Ni、V、Al、Si在燃烧时会生成不同的氧化物,沉积在化学反应器(如发动机)的冷却器表面,形成黏着物并引起腐蚀;另外这些元素可能灭活提炼过程中的催化剂。可见,测定Ni、V、Al、Si对于炼油工业非常重要。1仪器样品消解采用奥地利安东帕公司(Anton Paar GmbH)生产的Multiwave 3000微波消解系统,配有8位超高压转子。消解后的样品中痕量元素的分析用Optima 3000电感耦合等离子体发射光     

微波消解ICP—AES法测定石油样品中镍钒铝硅

Ni、V、Al、Si是石油的天然组分。其中M和V来源于形成石油的原始物质,它们易形成大而复杂的分子,从而使沸点非常高。含Ni和V的化合物在提炼过程中无法蒸馏,不能很经济地从燃料中去除。     

An approach to the study of minerals using infrared photothermal beam deflection spectroscopy

Infrared (IR) spectra of minerals can be recorded by photothermal beam deflection spectroscopy with minimal sample preparation and even with no sample preparation at all. A modulated IR beam is focussed onto the sample, radiation selectively absorbed by the solid warms the solid and the air over it and brings about a refractive index gradient in the air, so that a laser beam grazing the solid's surface is deflected. Measurements of the deflections result in the IR photothermal absorption spectrum. Sample preparation steps can be avoided entirely, i.e., selected areas on the surface of a large specimed can be examined directly, provided that the laser probe beam can pass over the sample area. A minimal sample preparation, consisting of lightly grinding the sample by hand, increases sensitivity and avoids spectral reflection effects. Examples of application of the technique to carbonate and lead minerals are shown.     

Cation disorder in garnets along the Mg3Al2Si3O12-Mg4Si4O12 join: an infrared,Raman and NMR study

We have obtained infrared and Raman spectra for garnets synthesized at high (static) pressures and temperatures along the join Mg₃Al₂Si₃O₁₂ (pyrope) — Mg₄Si₄O₁₂ (magnesium majorite). The vibrational spectra of Mg-majorite show a large number of additional weak peaks compared with the spectra of cubic pyrope garnet, consistent with tetragonal symmetry for the MgSiO₃ garnet phase. The Raman bands for this phase show no evidence for line broadening, suggesting that Mg and Si are ordered on octahedral sites in the garnet. The bands for the intermediate garnet compositions are significantly broadened compared with the end-members pyrope and Mg-majorite, indicating cation disorder in the intermediate phases. Solid state ²⁷Al NMR spectroscopy for pyrope and two intermediate compositions show that Al is present only on octahedral sites, so the cation disorder is most likely confined to Mg-Al-Si mixing on the octahedral sites. We have also obtained a Raman spectrum for a natural, shock-produced (Fe,Mg) majorite garnet. The sharp Raman peaks suggest little or no cation disorder in this sample.     

等离子体发射光谱法同时测定大洋富钴结壳中硅锰铁钙镁铝钛

大洋富钴结壳试样经ＨＣｌ＋ＨＮＯ３＋ＨＦ溶解,在０．２ｍｏｌ／ＬＨＦ和０．１３ｍｏｌ／ＬＨ３ＢＯ３介质中,用感耦等离子发射光谱法同时测定Ｓｉ、Ｍｎ、Ｆｅ、Ｃａ、Ｍｇ、Ａｌ、Ｔｉ元素的含量。方法经国家标准物质ＧＢＷ０７２４９大洋多金属结核验证,其结果与标准值相符,精密度ＲＳＤ〈３．２％（ｎ＝６）;已应用于太平洋富钴结壳中多元素分析。