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| JOURNAL HOME | HELP | CONTACT PUBLISHER | SUBSCRIBE | ARCHIVE | SEARCH | TABLE OF CONTENTS |
1 Dipartimento di Scienze della Terra, Università degli Studi di Milano, Via Botticelli 23, I-20133 Milano, Italy
2 CNR-Istituto per la Dinamica dei Processi Ambientali, 20133 Milano, Italy
3 Bayerisches Geoinstitut, Universität Bayreuth, Universitaetsstrasse 30, D-95447 Bayreuth, Germany
4 Institute for Mineralogy and Petrology, ETH Zürich, Clausiusstrasse 25, H-8092 Zürich, Switzerland
Correspondence: * E-mail: diego.gatta{at}unimi.it
| ABSTRACT |
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d) to triclinic symmetry (P
). The phase transition is completely reversible and without any appreciable hysteresis effect. No further phase transition has been observed up to 9 GPa. Fitting the pressure-volume data of the low-pressure cubic polymorph with a second-order Birch-Murnaghan Equation-of-State (BM-EoS), we obtain V0 = 2558.3(4) Å3, KT0 = 41(2) GPa, and KT' = 4 (fixed). For the high-pressure triclinic polymorph, a third-order BM-EoS fit gives V0 = 2577.5(40) Å3, KT0 = 25.1(9) GPa, and KT' = 6.5(4). The axial bulk moduli of the high-pressure triclinic polymorph were calculated with a third-order "linearized" BM-EoS. The EoS parameters are a0 = 13.699(12) Å, KT0(a) = 25.5(17) GPa, and KT' (a) = 6.8(6) for the a axis; b0 = 13.728(12) Å, KT0(b) = 23.2(15)GPa, and KT' (b) = 7.7(7) for the b axis; c0 = 13.710(7) Å, KT0(c) = 25.2(10) GPa, and KT' (c) = 6.8(4) for the c axis [KT0(a):KT0(b):KT0(c) = 1.10:1:1.09]. Brillouin light-scattering was used to investigate the single-crystal elastic properties of pollucite at ambient conditions. The aggregate adiabatic bulk modulus (Ks) and shear modulus (G), calculated using the Voigt-Reuss-Hill averaging procedures, are Ks = 52.1(10) GPa and G = 31.5(6) GPa. The elastic response of pollucite and other isotypic materials (e.g., analcime, leucite, and wairakite) is compared. The high thermo-elastic stability of pollucite, reflected by the preservation of crystallinity at least up to 9 GPa (at room T) and 1470 K (at room P) in elastic regime, the large amount of Cs hosted in this material (Cs2O ~ 30 wt%), the immobility of Cs at high-temperature and high-pressure conditions, and the extremely low leaching rate of Cs, make of this open-framework silicate a functional material with potential use for fixation and deposition of Cs radioisotopes in high-level nuclear waste.
Key Words: Pollucite single-crystal X-ray diffraction high-pressure compressibility phase transition nuclear waste disposal material
| INTRODUCTION |
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Pollucite is isotypic with analcime (Na16Al16Si32O96·16H2O), leucite (K16Al16Si32O96), wairakite (Ca8Al16Si32O96·16H2O), and hsianghualite (Li16Ca24Be24Si24O96F16) (Gottardi and Galli 1985; Armbruster and Gunter 2001; Baerlocher et al. 2001), and forms a complete solid-solution series with analcime (
ern
1974; Legache 1995; Teertstra and
ern
1995). The (open) tetrahedral framework of this group of isotypic minerals (i.e., the "analcime group") results from the combination of two "secondary building units" (SBU, Baerlocher et al. 2001), constituted by 4- and 6-membered rings of tetrahedra (ANA topology, Baerlocher et al. 2001) (Fig. 1
). The topological symmetry of such a framework type is cubic, with space group Ia
d (Baerlocher et al. 2001). At room conditions, the general symmetry of pollucite is cubic Ia
d, with a ~ 13.68 Å. In cubic pollucite, there is a disordered Si/Al-distribution in the tetrahedral framework, with only one independent tetrahedral site (at x, y,1/8, Wyckoff position 48g). Cesium, Na, and H2O represent the extra-framework content. According to the structural model of Beger (1969) (i.e., "model 1"), water molecules and Cs atoms share the only extra-framework site (i.e., Cs/W-site, Fig. 1
) lying in the 6-membered ring channels (6mR) along [111] (at 1/8,1/8,1/8, Wyckoff position 16b), whereas sodium atoms are located out from the 6mR-channels (at 1/4,1/8,0, Wyckoff position 24c), in the distorted 8-membered ring of tetrahedra that connect the 6mR-channels. Cesium atoms are coordinated by 12 O atoms belonging to the tetrahedral framework (6 Cs-O ~ 3.39 Å and 6 Cs-O ~ 3.56 Å, Beger 1969). The H2O-molecules and the sodium atoms occupy the same site positions as they do in analcime, but they occur only in randomly distributed clusters of atoms forming interrupted ...[H2O-Na-H2O]... chains, with H2O/Na
2 (Beger 1969). On this basis, in pollucite (Cs + H2O) sum to 16 apfu, the number of Na atoms is less than the number of H2O molecules and the total amount of the alkali atoms must be <16 apfu (when the crystal contains water), leading to a general chemical formula: CsxNayAlx+ySi48–x–yO96·(16 – x)H2O, in which 2y
(16 – x)
y. These crystallochemical features are supported by the chemical compositions of pollucite specimens from several localities (Beger 1969). However, Beger (1969) reported also a further possible structural model of pollucite (i.e., "model 2"), in which Cs and Na share the same extra-framework site at 1/8,1/8,1/8 (Wyckoff position 16b) and water lies at 1/4,1/8,0 (Wyckoff position 24c). However, crystallochemical arguments led the author to suggest "model 1" as the most reliable. The structural "model 1" of Beger (1969), and in particular the configuration of the extra-framework content, is consistent with the previous structural description of Náray-Szabó (1938), with the dehydration behavior provided by Fleischer and Ksanda (1940), and with the experimental findings of Newnham (1967) based on the near-infrared absorption spectrum of pollucite. The amount of water in pollucite is lower than in other zeolites, ranging between 0–4 wt%. The dehydration experiments on natural pollucites showed no loss in weight below 573 K, with a completely dehydrated form at 913 K (Fleischer and Ksanda 1940). Unlike typical zeolites, after dehydration pollucites did not take up water on exposure to air saturated with water vapor. Deviations from cubic to tetragonal symmetry (at room conditions) have been reported by Palmer et al. (1997) (with c/a = 1.0051) and Xu et al. (2002) (with c/a =1.0014) for synthetic Cs16Al16Si32O96 by powder diffraction experiments.
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Because of its potential technological applications, the high- and low-temperature crystal chemistry of pollucite has been investigated extensively (Fleischer and Ksanda 1940; Taylor and Henderson 1968; Kobayashi et al. 1997, 2006; Palmer et al. 1997; Yanase et al. 1997; Ogorodova et al. 2003; Xu et al. 2002). Kobayashi et al. (1997) reported that synthetic cubic pollucite (Cs16Al16Si32O96) preserves its crystallinity at least up to 1470 K (at room P), without any evidence of phase transition between 290 and 1470 K. Yanase et al. (1997) investigated the low-temperature behavior of synthetic Cs16Al16Si32O96 between 93 and 298 K (at room P), and found a low-temperature displacive phase transition from Ia
d to I41/acd symmetry at about 265 K. By contrast, the elastic behavior of pollucite and its structural evolution under pressure are completely unknown. The aim of this study is to investigate the high-P behavior of pollucite by in situ single-crystal X-ray diffraction with a diamond-anvil cell under hydrostatic regime. A comparison between the elastic response of pollucite and that of isotypic materials (e.g., analcime, leucite, and wairakite) is also made.
| EXPERIMENTAL METHODS |
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=13.216(Al12.304Si35.472)
=47.776O96·3.79H2O.
A transparent, colorless, platy crystal of pollucite (190 x 130 x 60 µm3) from the same natural sample analyzed in EMPA-WDS, optically free of defects, twinning or inclusions, and with isotropic extinction in transmitted polarized light, was selected for the X-ray diffraction experiments. Accurate lattice parameters were determined with a KUMA-KM4 diffractometer, equipped with a point-detector and monochromatized MoK
-radiation, on the basis of 36 Bragg reflections. Pollucite was found to be metrically cubic, with a = 13.667(1) Å. Diffraction intensity data were collected at room conditions adopting the data collection strategy reported in Table 1
, without any symmetry restraint. The diffractometer was operated at 50 kV and 40 mA. The reflection conditions were consistent with space group Ia
d. Integrated intensity data were corrected for Lp and absorption effects using the ABSORB5.2 computer program (Burnham 1966; Angel 2002, 2003). The anisotropic structure refinement against F2 was then performed using the SHELX-97 software (Sheldrick 1997), starting from the atomic coordinates of the structural "model 1" of Beger (1969). Only the Na-site was maintained isotropic because of the low site occupancy. Neutral atomic scattering factors of Cs, Na, Si, and O from the International Tables for Crystallography (Wilson and Prince 1999) were used (i.e., a H-free structure was considered). A mixed scattering curve was used for the Cs/W-site, partially occupied by cesium and oxygen (of the water molecule), with (%Cs + %Ow) = 100%. A scattering curve based on partially occupied tetrahedral sites (by Al and Si) and the use of ionic curve for all the atomic sites did not improve significantly the figures of merit of the refinement. The convergence was rapidly achieved after a few cycles of refinement. At the end of the refinement, the variance-covariance matrix did not show any significant correlation among the refined parameters. No peak larger than ±0.27 e–/Å3 was present in the final difference Fourier synthesis and R1(F) ~ 0.02 for 22 refined parameters. Further details of the structure refinement are reported in Table 1
. Refined atomic positions, site occupancies, atomic displacement parameters, bond distances, and angles are listed in Table 2
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radiation) using eight-position centering of 21 Bragg reflections, according to the protocol of King and Finger (1979) and Angel et al. (2000).
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| RESULTS |
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(li), where li are the unrestrained unit-cell lengths] and the reflection conditions are consistent with the space group Ia
d. The anisotropic structure refinement confirms the "model 1" of Beger (1969) in which cesium and oxygen (of water molecules) share the same extra-framework site lying in the 6mR-channel at 1/8,1/8,1/8 (Fig. 1
Elastic behavior and phase stability
Evolution of the unit-cell parameters of pollucite with pressure is shown in Figure 2
. A phase transition from cubic to triclinic structure was observed in the pressure range 0.54 to 0.78 GPa. The transition pressure was bracketed by several X-ray diffraction measurements and in transmitted polarized light microscopy, in both compression and decompression experiments. The phase transition is either very weakly first-order or continuous in character, as shown in Figure 2
. The transition is reversible and without any appreciable hysteresis effect (if hysteresis occurs, the loop is <0.12 GPa). The high-P polymorph shows a metrically triclinic unit cell, as the result of slight distortion of the low-P cubic structure, with a ~ b ~ c and
> β~
(Table 3
). This lattice set is consistent with that already used to describe the high-P polymorph of leucite (Gatta et al. 2008a). The evolution of the unit-cell parameters with P of the HP triclinic polymorph is continuous and monotonic up to 8.8 GPa, without any evidence of a further phase transition or anomalous elastic behavior within the P-range investigated.
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For the high-P triclinic polymorph, a weighted fit of the P-V data with a third-order BM-EoS yields V0 = 2577.5(40) Å3, KT0 = 25.1(9) GPa, and KT' = 6.5(4). The confidence ellipse at 68.3% level (1
, 
2 = 2.30) was calculated starting from the variance-covariance matrix of KT0 and KT'obtained from the BM-EoS least-square procedure for the HP triclinic polymorph. The ellipse is elongated with a negative correlation of KT0 vs. KT' (Fig. 3
). The individual values for KT0 and KT' are 25.1 ± 1.5 GPa and 6.5 ± 0.6, respectively (Fig. 3
).
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l/
P) (Angel 2000).
The limited portion of reciprocal space accessible at high pressure, together with the low quality of the diffraction data at pressures above the cubic-to-triclinic phase transition and the high number of independent parameters to describe the triclinic structure (Gatta et al. 2006, 2008a), did not allow solution and refinement of the crystal structure of the HP triclinic polymorph. However, the presence of a relevant number of (h + k + l)
2n reflections, violating the body-centered symmetry, suggests that the space group of the triclinic polymorph is P
.
As the cubic-to-triclinic phase transition occurs at very low P, the calculation of the elastic properties of cubic pollucite based on in situ diffraction data are hindered by the limited P-range investigated. Therefore, a further experiment was performed by Brillouin scattering spectroscopy. Brillouin scattering is a non-destructive technique for investigating the elastic properties of small single crystals, allowing direct measurement of the sound velocity along general directions in a transparent medium and hence the determination of the elastic stiffness tensor Cij, as well as aggregate properties (Musgrave 1970; Nye 1985 and references therein). This technique has been recently applied to investigate the elastic properties of various zeolites, including analcime (Sanchez-Valle et al. 2005, 2008). Phonon velocities are related to the single-crystal elastic moduli through Christofells equation (Nye 1985). Pollucite is cubic and has only three independent elastic constants (i.e., C11, C44, and C12), which can be obtained by measuring the acoustic velocities in a few non-equivalent crystallographic directions in a single crystallographic plane. We conducted multiple acoustic velocity measurements in two different sample platelets prepared from the same sample used for the previous X-ray diffraction experiment. Brillouin scattering measurements were conducted using a solid state Nd:YVO4 laser (
0 = 532.1 nm) as excitation source, a 6-pass tandem Fabry-Perot interferometer to analyze the scattered light (Sandercock 1982) and a photomultiplier tube for collection. The power of the focused beam was kept below 20 mW at the sample to prevent damage or dehydration of the samples. Experiments were performed in symmetric (platelet) scattering geometry with an external scattering angle (i.e., angle between the incident and scattered light outside the sample plate) of 90°. The orientation of the two sample platelets was refined using the collected velocity data and is given by the normal vectors (0.616, 0.435, 0.657) and (0.574, 0.466, 0.674), respectively. The phonon directions, determined with a precision better than 3°, and the measured acoustic velocities were then used as input data to a linearized inversion procedure to solve for the independent elastic constants. Inversion of the acoustic velocity data set obtained from both samples provides the following Cij values for our pollucite specimen: C11 = 105.0(13), C44 = 27.0(3), and C12 = 25.7(5) GPa. The aggregate adiabatic bulk modulus (Ks), shear modulus (G), and aggregate acoustic velocities were calculated from the Cij values using the Voigt-Reuss-Hill averaging procedures: Ks = 52.1(10) GPa, G = 31.5(6) GPa, vP = 5.67(8) km/s, and vS = 3.28(4) km/s. The aggregate Poissons ratio (
) and the Youngs modulus (E) are
= 0.248(4) and E = 78.6(13) GPa, respectively. Further details pertaining to the Brillouin experiment on pollucite will be published elsewhere in a more extensive form.
| DISCUSSION AND CONCLUDING REMARKS |
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d) to triclinic symmetry (P
). This phase transition results in a slight distortion of the structure, as shown by the unit-cell parameters above and below the transition pressure (Table 3
d
P
first-order phase transition at about 1 GPa (Gatta et al. 2006; Gatta 2008). Structure refinements of the cubic and triclinic polymorphs of analcime show that the P-induced phase transition is displacive, leading to a slight distortion of the tetrahedral framework (by tilting of the Si/Al-tetrahedra) maintaining the topology of the high-symmetry phase. P-induced high-symmetry to low-symmetry phase transitions occur in all the isotypic members of the "analcime-group." Leucite (K16Al16Si32O96) undergoes a first-order phase transition from tetragonal to triclinic symmetry (I41/a
P
) at about 2.4 GPa, with a drastic increase in density (~4.7%) (Gatta et al. 2008a). A similar high-P behavior was also observed in wairakite (Ca8Al16Si32O96·16 H2O), where a phase transition from monoclinic to triclinic (I2/a
P
) structure occurs at ~2.5 GPa (Ori et al. 2008). P-induced phase transitions due to an over-hydration effect (through selective sorption of water molecules from the pressure medium) do not occur in all the isotypic zeolites with ANA framework type because of the small "free diameter" of the 6mR[111]-channels (O
O6mR, Table 2As for analcime, leucite, and wairakite, we observe that the high-P polymorph of pollucite is more compressible than the low-P one. However, in leucite, wairakite, and pollucite, the difference between the isothermal bulk moduli of the two P-polymorphs [i.e., KT0(tetragonal leucite) = 41.9(6) GPa and KT0(triclinic leucite) = 33.2(5) GPa, Gatta et al. (2008a); KT0(monoclinic wairakite) = 39(3) GPa and KT0(triclinic wairakite) = 24(3) GPa, Ori et al. (2008); KT0(cubic pollucite) = 41(2) GPa and KT0(triclinic pollucite) = 25.1(9) GPa, this study] is not as great as in analcime [KT0(cubic analcime) = 56(3) GPa and KT0(triclinic analcime) = 19(2) GPa, Gatta et al. (2006)]. In addition, for all the aforementioned isotypic members of the "analcime-group," the high-to-low symmetry P-induced phase transition is completely reversible.
The adiabatic bulk modulus of the low-P cubic polymorph of pollucite obtained on the basis of the single-crystal Brillouin scattering experiment [i.e., Ks = 52.1(10) GPa] is significantly higher than the isothermal bulk modulus obtained by static compression in the DAC [i.e., KT0 = 41(2) GPa], even taking into consideration that the isothermal-adiabatic corrections usually amount to about 1–2% at room temperature. The difference between the two bulk moduli is ~5
(KT0). Since we used crystals from the same pollucite sample in both experiments (i.e., Brillouin scattering and X-ray diffraction), we believe that the bulk modulus obtained by BM-EoS fit of the P-V data is likely underestimated because of the small P-range investigated (i.e., 0.0001–0.54 GPa, Table 3
).
The HP triclinic polymorph of pollucite shows an almost isotropic elastic behavior, as KT0(a):KT0(b):KT0(c) = 1.10:1:1.09. This behavior is similar to that observed in triclinic leucite [with KT0(a):KT0(b):KT0(c) = 1.03:1:1.02, Gatta et al. (2008a)] but differs significantly from that in triclinic analcime [KT0(a):KT0(b):KT0(c) = 2.64:1.82:1]. However, the lack of structural data of the HP triclinic polymorphs of leucite and pollucite hinders an exhaustive discussion on their similar elastic anisotropy, and on the difference with that observed in triclinic analcime.
As already postulated by Gatta et al. (2008a), there is not a simple relationship between ionic radius of the extra-framework cation and transition pressure in the "analcime-group" minerals, because the coordination shells of the extra-framework cations are significantly different [i.e., CsO12- and NaO4(H2O)2-polyhedron in low-P pollucite, NaO4(H2O)2-polyhedron in low-P analcime; KO6 in low-P leucite, with the K-sites located at the same positions as the O atoms of the H2O molecules in analcime; CaO4(H2O)2-polyhedron in low-P wairakite, with a configuration similar to that of analcime]. These latest HP experimental findings on pollucite, have led us to reevaluate the role played by the framework (i.e., different Si/Al-distribution, topological symmetry) and extra-framework content (monovalent or divalent cations and water molecules). Neither the ionic radius of the (main) extra-framework cation nor the amount of water plays a significant role on the transition pressure. In contrast, analcime and pollucite share the same symmetry (i.e., cubic) with a fully disordered Si/Al-distribution in the tetrahedral framework, and both show a phase transition at P
1 GPa. Leucite is tetragonal with a partial Si/Al-ordering in the framework; its transition pressure is about 2.4 GPa. Wairakite is monoclinic with an ordered Si/Al-distribution; its transition pressure is about 2.5 GPa. It appears, therefore, that the higher the symmetry, the lower the transition pressure. A high symmetry hinders any P-induced structural relaxation, whereas a low symmetry allows the structure to accommodate the effect of pressure with more degrees of freedom. This might explain the low PT in analcime and pollucite (Ia
d at room conditions) and the higher PT in leucite (I41/a) and wairakite (I2/a).
The high thermo-elastic stability of pollucite, reflected by the preservation of crystallinity at least up to 9 GPa (at room T) and 1470 K (at room P) in elastic regime, the significantly large amount of Cs hosted in this material (Cs2O ~ 30 wt%), the immobility of Cs at high-temperature and high-pressure conditions (related to the configuration of the Cs-polyhedron and its bonding environment and to the small dimension of the micropores—"free diameters"—where the Cs-sites lie, O
O6mR, Table 2
) and the extremely low leaching rate of Cs, make of this open-framework silicate a functional material with potential use for fixation and deposition of Cs radioisotopes, as well as a promising solid host for a 137Cs
-radiation source in sterilization applications (Richerson and Hummel 1972; Gallagher et al. 1977; Komameni and White 1981; Yanagisawa et al. 1987; Mimura et al. 1990; Kobayashi et al. 1997, 2006; Yanase et al. 1997).
| ACKNOWLEDGMENTS |
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| Footnotes |
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MANUSCRIPT RECEIVED January 14, 2009; MANUSCRIPT ACCEPTED April 17, 2009
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