Quantitative Raman spectroscopy: Principles and application to potassium silicate glasses

A mathematical approach was developed to interpret Raman spectra of binary silicate glasses and melts without the necessity of external calibration, e.g., from NMR spectroscopy. The developed approach is based on Principal Component Analysis (PCA), linear combinations of partial Raman spectra and a linear optimization technique. In order to apply and to test this approach, we developed an experimental method to collect a large number of Raman spectra efficiently. We applied the quantification and the experimental approaches to investigate potassium silicate glasses with compositions from 17.4 to 38 mol% K₂O. The equilibrium constant for the reaction 2Q³ ⇄ Q² + Q⁴ was found log K₃ = −2.37 ± 0.07, in excellent agreement with NMR studies for the same glasses.     

Structural rules of phase separation in alkali silicate melts analyzed by high-temperature Raman spectroscopy

The structure of alkali silicate melts with the compositions around the immiscibility dome, i.e. xR₂O-(100 − x)SiO₂ (R = Li, Na; x = 15, 25, 33) were investigated by high-temperature Raman spectroscopy. The distributions of structural units of Qⁿ were estimated as a function of temperature and composition through the curve fitting of spectra based on the Qⁿ equilibration 2Q³ ↔ Q² + Q⁴. The Qⁿ distributions of lithium silicate melts were insensitive to temperature, while those of sodium silicate melts showed a temperature dependence especially in the high sodium concentration region. By using the temperature and composition dependences of the Qⁿ distribution, a new expression of the non-ideal entropy of mixing (ΔS_mix) for the silicate system is proposed. In order to clarify the relationship between the Qⁿ equilibration and the entropy change of alkali silicate melts, the Qⁿ distributions were summarized as isothermal Qⁿ curves on the Q²–Q³–Q⁴ ternary diagram (Qⁿ diagram) on a contour map of ΔS_mix. The Qⁿ diagrams reveal unique characteristics of the melt under the immiscibility condition. It is suggested that phase separation takes place in a specific composition range, where the system cannot decrease entropy by structural change via the equilibration of Qⁿ species.     

Quantitative measurement of Q species in silicate and borosilicate glasses using Raman spectroscopy

Raman spectroscopy has been used to measure the fraction of tetrahedral silicate units connected at three corners into the network (Q³) in binary lithium silicate glasses and also in the more complex borosilicate glasses used for waste immobilization. Agreement within experimental error was obtained with ²⁹Si MAS NMR measurements of the same samples. Raman provides an alternative method of structural determination for silicon-containing glasses with a high content of paramagnetic species where NMR loses resolution. Analysis was performed on borosilicate glasses containing up to 11.98 mol% Fe₂O₃ and the Q³ values obtained by Raman spectroscopy agree within error with the published ²⁹Si NMR results from borosilicate glasses containing the equivalent quantity of Al₂O₃.     

Solubility of tin dioxide in soda-lime silicate melts

In the present work, the solubility of tin dioxide is assessed as a function of time, temperature and basicity in simple ternary glasses: NC3S, NC4S, NC5S and NC6S (N: Na₂O, C: CaO, S: SiO₂). An increase of silica contents in the glass composition leads indeed to a decrease of the glass basicity. First, a kinetic study of the dissolution has been performed. Consequently, the solubility limits of tin dioxide have been determined after 2 h of heat treatment: this duration is long enough to reach the dissolution equilibrium, and short enough to limit the sodium oxide losses in the melt at high temperatures. Nevertheless the specific case of the most acid glass has been underlined, as its higher viscosity implies longer heating times. At equilibrium state, SnO₂ solubility depends on the temperature (Arrhenius law) and on the glass basicity. In the 1200 °C–1400 °C temperature range, in these soda–lime glasses, the solubility of tin dioxide is between 1.3 and 2.1 at.% Sn and the temperature dependence of solubility exhibits a single mechanism of dissolution. Furthermore, the basicity dependence of the solubilization process is also discussed, and the presence of another oxidation state of tin (Sn^II) is thus proposed.     

High-temperature Raman Investigations of Arsenic Vapour

Raman spectra of arsenic vapour were measured at temperatures up to 1210 K. The intensity ratio of the vibrational modes was used to determine the partial pressure ratio of As₂ and As₄. The data obtained exhibit discrepancies to existing theoretically predicted values. The reason for these differences is yet unclear.     

Structural investigation of sodium borate glasses and melts by Raman spectroscopy.: I. Quantitative evaluation of structural units

Short-range and intermediate range structures of the sodium borate glass system were investigated using Raman spectroscopy to quantify their dependence on Na₂O concentration. High-resolution spectra were collected by Raman spectroscopy using the Q-switched, second-harmonic pulse of a Nd:YAG laser as an excitation source. The system was designed for measurement of the spectra of glasses and melts up to temperatures over 1000 °C with high signal to noise ratio. Use of polarized light and the simultaneous analysis of HH and VH spectra allowed deconvolution of Raman spectra into appropriate bands with high reproducibility. The deconvoluted bands in the high-frequency region of 1100-1600 cm⁻¹ could be assigned to the vibration modes due to the short-range structures of BO₃ and BO₂O⁻ units in the glasses. The band intensity ratios showed a simple linear relationship with the molar ratio, symmetric BO₃ triangle unit, N_3s, to asymmetric BO₂O⁻ triangle unit, N_3a, obtained from ¹¹B-NMR results. These results allowed a quantitative measure for normalizing the spectra leading to a direct comparison of the band intensities. The ring-structures of intermediate range order, boroxol, pentaborate, tetraborate and diborate groups, could be quantified from the spectra in the middle-frequency region. Their trends with Na₂O concentration showed a good consistency with ¹⁰B-NMR results and also Krogh-Moe’s model.     

The origin of nanostructuring in potassium niobiosilicate glasses by Raman and FTIR spectroscopy

The structure of potassium niobium silicate glasses in a wide compositional range has been studied by means of Raman and FTIR spectroscopy. The glasses spectra were compared to those of the KNbSi₂O₇ and K₃Nb₃O₆Si₂O₇ polycrystalline samples, obtained by crystallization of glasses of the same composition. It was found that the structure of such glasses is formed by SiO₄ tetrahedra and distorted NbO₆ octahedra. The amount of highly distorted (edge-sharing, non-bridging oxygens) octahedra results essentially unchanged from the glass composition. By contrast, the fraction of octahedra with a lower distortion degree (corner-sharing, bridging oxygens) increases with the Nb₂O₅ content. Raman and FTIR investigations indicate that during long heat treatments at temperatures near T_g, in the 23K₂O · 27Nb₂O₅ · 50SiO₂ glass, a structural change occurs regarding the amorphous matrix with a decrease of the niobium octahedra distortion. This can be related to a segregation process producing niobium rich regions nanometric in size. In the first heat treatment (2 h) the glass remains amorphous while for more prolonged heat treatments, nanocrystals of an unidentified phase are formed. In the same time the changes of the amorphous matrix hinder further crystallization.     

Water and the glass transition temperature of silicate melts

Literature data on the effect of water on the glass transition in silicate melts are gathered for a broad range of total water content c_w from 3 × 10⁻⁴ to 27 wt%. In terms of a reduced glass transition temperature T_g^*=T_g/T_g^GN, where T_g^GN is T_g of the melt containing c_w≈0.02 wt% total water, a uniform dependence of T_g^* on total water content (c_w) is evident for silicate melts. T_g^* decreases steadily with increasing water content, most strongly at the lowest water content where H₂O is dominantly dissolved as OH. For water-rich melts, the variation of T_g^* is less pronounced, but it does not vanish even at the largest water contents reported (≈27 wt%). T_g^* vs. c_w is fitted by a three-component model. This approach accounts for different transition temperatures of the dry glass, hydroxyl and molecular water predicting T_g^* as a weighted linear combination of these temperatures. The required but mostly unknown water speciation in the glasses was estimated using IR-spectroscopy data for hydrous sodium trisilicate and rhyolite.     

The structure of GeO2-SiO2 glasses and melts: A Raman spectroscopy study

We have investigated a series of glasses and melts along the GeO₂-SiO₂ join using insitu Raman spectroscopy. The results for both the glasses and melts are consistent with a continuous random network in which there are ‘regions’ that are SiO₂-like, GeO₂-like and mixed GeO₂-SiO₂-like. Incorporation of GeO₂ into the SiO₂ network is initially accommodated via the 3- and 4-membered SiO₄ rings which are lost as they convert to larger mixed Ge/Si rings. The LO-TO mode behavior is also consistent with a network that is composed of different ‘regions’ and is similar to that expected from the Bruggeman effective media model. At the highest temperatures there are indications that the mixed Ge/Si rings convert back to small 3-membered GeO₄ rings and large SiO₄ rings; the small 3- and 4-membered SiO₄ rings are not reformed.     

Thermodynamic properties and structure of ternary silicate glass-forming melts: Experimental studies and modeling

Thermodynamic properties and vaporization processes of ternary silicate glass-forming melts containing Cs₂O, MgO, CaO, BaO, B₂O₃, Al₂O₃ and TiO₂ obtained by high temperature mass spectrometric method at the temperatures up to 1900 K were discussed. These data were used for modeling thermodynamic properties and structure of these melts based on the vacancy model of the general lattice theory of associated solutions.     

Cation clustering and formation of free oxide ions in sodium and potassium lanthanum silicate glasses: nuclear magnetic resonance and Raman spectroscopic findings

Alkali silicate glasses containing lanthanum oxide are useful model systems for understanding the structural role of rare earth cations in optical and other types of materials. We report ²⁹Si and Raman spectra of sodium and potassium silicate glasses, both with added La₂O₃ and with La₂O₃ substituted for Na₂O or K₂O on an equal-oxygen basis. In the former series, silicate speciation changes show the formation of more non-bridging oxygens (NBO) as more of the network-modifying La₂O₃ is added. In the latter series, however, in which the nominal ratio of NBO to Si is constant, silicate speciation changes indicate that the actual ratio decreases significantly as La is substituted for 3 Na or K. The simplest explanation of this finding is that up to several percent of the oxygen in the La-rich glasses is not bonded to any Si, but instead forms `free oxide' ions that are part of La-rich domains. Although the size of these domains remains unconstrained, the lack of evidence for phase separation and continuity of trends in structure with composition suggests that the metastable liquid structure at the glass transition contains substantial intermediate-range heterogeneity.     

3D diagrams of equations of viscous flow of silicate glass-forming melts

Vogel–Fulcher–Tammann (VFT) equation and Mauro, Yue, Ellison, Gupta and Allan (MYEGA) equation for the viscous flow are here expressed using the parameters characteristic for Avramov and Milchev model. This enabled us to represent these functions through 3D diagrams and compare them directly. The 3D diagrams of these functions were compared as functions of the two variables for different temperature (or ratio T/T_r) and in a wide range of x. T_r is referential temperature at which η_Tr = 10¹³ d Pa s.The 3D diagrams were also used to present the differences of these functions. It followed from the 3D diagrams that for x ~ 0.5 and x > 0.8 the most significant differences occur in the values of logη. For that reason equations are additionally tested on concrete silicate systems with such composition of x. The VFT and the MYEGA functions are then modified so that through T_r they include lubricant coefficient k. We show that the 3D diagrams of the so modified VFT and MYEGA functions can predict the behavior of viscosity of silicate systems, both when a component with large k and when a component with small k is present. With these some more frequent anomalies at certain parts of the 3D diagram were observed with the VFT function. The MYEGA function proved to be just as successful as the AM function in predicting the lubricant effect and showed good agreement with the experimental results.     

Raman spectroscopic study of scandium in sodium silicate glasses

Glasses in the Na₂OSiO₂Sc₂O₃ system have been studied by Raman and difference Raman spectroscopy. Addition of Sc₂O₃ to sodium silicate glasses results in new vibrational bands at 1025 cm^?1 and 360 cm^?1. The high frequency band is interpreted to be due to Sc⁺³ quasi-complexes formed by Sc⁺³ ions coordinated by SiO₄^?4 tetrahedra having non-bridging oxygens. The discrete character of the scandium-produced bands implies incipient separation of Sc⁺³-enriched silicate structures from purely silicate structures.     

Quantitative model studies of stirrers for laboratory glass melts

The stirrers widely used in practice are investigated and compared in the present work using the method of quantitative assessment of homogeneity.     

Raman and optical reflection spectra of germanate and silicate glasses

Germanate and phosphosilicate glasses made in oxygen surplus conditions were studied by Raman and optical reflection methods. We found that the optical reflection spectra of the germanate glasses are quite similar to the one those of a GeO₂ crystal with the α-quartz structure. The reflection of phosphosilicate glasses is very close to silica glass-related spectra. Hence, the determining influence of the tetrahedral structure on reflection spectra is revealed. The Raman spectra of germanate samples are similar to those reported the one known in the literature. Octahedral entities, namely bands similar to stishovite vibration modes, were difficult to detect in phosphosilicate glasses through Raman spectroscopy.     

Determination of Na2O activities in silicate melts by EMF measurements

An EMF cell using a Na-β″-alumina electrolyte has been designed for the quantification of the thermodynamic activity of Na₂O (aNa₂O) in a series of sodium-bearing silicate liquids at high temperature. Initial experiments have been performed using Na₂O–0.663WO₃ and Na₂O–0.555MoO₃ as reference liquids. Values of aNa₂O derived for Na₂O–2SiO₂ binary melt are found to be in excellent agreement with data from the literature, confirming the validity of the method. To extend use of this experimental set-up to higher temperature, the aNa₂O of industrial C-glass has been calibrated as a reference liquid at temperatures up to 1263 °C. The influence of additions of CaO, Al₂O₃ and B₂O₃ on the Na₂O activity of binary sodium-silicates has been quantified. For each glass composition, measured values of aNa₂O are a function of temperature, log(aNa₂O) varying as a function of inverse absolute temperature. Activation energies derived from these data are all generally similar with the exception of industrial E-glass, which is rich in Al and poor in Na. At constant temperature, additions of network forming Al₂O₃ and B₂O₃ to a Na₂O–SiO₂ binary melt yield a decrease of the activity of Na₂O, while addition of network modifying CaO results in an increase in (aNa₂O). These changes are qualitatively consistent with predictions based upon expected modifications of melt structure. However, measured values of log(aNa₂O) do not correlate perfectly with theoretical models of glass basicity, suggesting that either sodium activity is decoupled from melt basicity, or that current models are insufficient to calculate that parameter, in particular for the case of liquids poor in Na and rich in Al.     

Investigations on the crystallisation of potassium molybdenum bronzes from flux melts

Results are presented to identify the fields of primary crystallisation of red and blue potassium molybdenum oxide bronzes K_0.30MoO₃ and K_0.33MoO₃ in the ternary system K₂MoO₄–MoO₃–MoO₂. Starting from crystal growth experiments for the preparation of bronze crystals by electrolytic reduction the binary marginal systems K₂MoO₄–MoO₃ as well as MoO₃–MoO₂ and further pseudo‐binary sections have been investigated by differential thermo‐analysis, hot‐stage microscopy, and by quenching experiments under inert gas. We succeeded in determining phase transition temperatures in the binary section Mo₄O₁₁–K₂Mo₂O₇. Temperature and composition ranges have been found in this section to crystallise red and blue potassium molybdenum oxide bronzes. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Dependence of the parameters of equations of viscous flow on chemical composition of silicate melts

The temperature dependence of viscosity of silicate melts is discussed in the framework of the Avramov–Milchev (AM) equation. The composition is described by means of two parameters: the molar fraction, x, and the “lubricant fraction”, l. The molar fraction is the sum of the molar parts x_i of all oxides dissolved in SiO₂, the molar fraction of the latter being 1 ? x. It is shown that, with sufficient precision, two of the parameters of the AM equation can be presented as unique functions of the molar fraction. On the other hand, x is not sufficient to determine properly the reference temperature T_r , at which viscosity is η_r = 10¹³ [dPa.s]. Therefore, additional parameter, “lubricant fraction” l, is introduced. For each of the components, l_i is a product of molar part x_i and a specific dimensionless coefficient 0 ≤ k_i ≤ 1 accounting for the specific contribution of this component to the increased mobility of the system. It is demonstrated that, for l > 0, the reference temperature is related to the “lubricant fraction” l through the reference temperature T_r,SiO2 of pure SiO₂.