research papers
The
of the killer fibre erionite from Tuzköy (Cappadocia, Turkey)aEuropean Synchrotron Radiation Facility (ESRF), 71 avenue des Martyrs, Grenoble 38000, France, bInstitute of Crystallography-CNR, Via Amendola 122/o, Bari 70126, Italy, cDipartimento di Scienze Chimiche e Geologiche, Università degli Studi di Modena e Reggio Emilia, Via G. Campi 103, Modena 41125, Italy, dDipartimento di Scienze Pure ed Applicate, Università degli Studi di Urbino Carlo Bo, Campus Scientifico Enrico Mattei, Urbino 61029, Italy, eICCOM-CNR, Institute of Chemistry of Organometallic Compounds, Italian National Research Council, Via G. Moruzzi 1, Pisa 56124, Italy, fDipartimento di Scienze della Terra, Università di Pisa, Via S. Maria 53, Pisa 56126, Italy, and gDipartimento di Scienze della Terra, Sapienza - Università di Roma, Piazzale Aldo Moro 5, Roma 00185, Italy
*Correspondence e-mail: carlotta.giacobbe@esrf.fr, annagrazia.moliterni@ic.cnr.it
This work is dedicated to Professor Elio Passaglia (1941–2022). His contribution to the understanding of the erionite
and chemistry is the foundation on which to build knowledge about its mechanisms of toxicity and carcinogenicity.Erionite is a non-asbestos fibrous zeolite classified by the International Agency for Research on Cancer (IARC) as a Group 1 carcinogen and is considered today similar to or even more carcinogenic than the six regulated asbestos minerals. Exposure to fibrous erionite has been unequivocally linked to cases of malignant mesothelioma (MM) and this killer fibre is assumed to be directly responsible for more than 50% of all deaths in the population of the villages of Karain and Tuzköy in central Anatolia (Turkey). Erionite usually occurs in bundles of thin fibres and very rarely as single acicular or needle-like fibres. For this reason, a ab initio of this killer zeolite. The refined structure showed regular T—O distances (in the range 1.61–1.65 Å) and extra-framework content in line with the chemical formula (K2.63Ca1.57Mg0.76Na0.13Ba0.01)[Si28.62Al7.35]O72·28.3H2O. The synchrotron nano-diffraction data combined with three-dimensional electron diffraction (3DED) allowed us to unequivocally rule out the presence of offretite. These results are of paramount importance for understanding the mechanisms by which erionite induces toxic damage and for confirming the physical similarities with asbestos fibres.
of this fibre has not been attempted to date although an accurate characterization of its is of paramount importance for our understanding of the toxicity and carcinogenicity. In this work, we report on a combined approach of microscopic (SEM, TEM, electron diffraction), spectroscopic (micro-Raman) and chemical techniques with synchrotron nano-single-crystal diffraction that allowed us to obtain the first reliableKeywords: erionite; nano-diffraction; asbestos; ab initio structure solution; mesothelioma.
CCDC reference: 2256957
1. Introduction
Erionite is a natural zeolite that belongs to the ABC-6 family (Gottardi & Galli, 1985). Its periodic building unit (PerBU) consists of a hexagonal array of planar six-membered rings of (Si, Al)O4 tetrahedra (T6-rings) related by pure translations along a and b (Van Koningsveld, 2007). Erionite has the average formula K2(Ca0.5,Na)7[Al9Si27O72]·28H2O (Passaglia & Sheppard, 2001) and hexagonal symmetry with the P63/mmc and unit-cell parameters a ≃ 13.15 Å, c ≃ 15.05 Å. In the stacking sequence of the erionite framework, neighbouring T6-rings are connected through tilted 4-rings along [001] following the AABAAC… arrangement. This three-dimensional framework is defined by columns of cancrinite (ɛ) cages ([4665] polyhedra) connected with double 6-ring (D6R) cages (hexagonal prism, [4662] polyhedron, formed by two `A' 6-rings) and columns of erionite cavities ([4126586] polyhedral) between the `B' or `C' 6-rings (see Fig. 1; Staples & Gard, 1959; Kawahara & Curien, 1969; McCusker et al., 2001; Deer et al., 2004; Ballirano & Cametti, 2012). Adjacent ɛ cages are alternately rotated by 60°.
Erionite may occur as a diagenetic product or as a result of hydrothermal alteration in volcanic rock (Passaglia et al., 1998). A large chemical variability is typical of this mineral and, according to the most abundant extra-framework cation, three different species of erionite have been identified: erionite-Na, erionite-K and erionite-Ca (Coombs et al., 1997; Passaglia et al., 1998; Gualtieri et al., 1998; Dogan & Dogan, 2008). Previous structural refinements of erionite samples indicate that K+ cations are located at the centre of the ɛ cages (Gualtieri et al., 1998). Other cations (Na+, Ca+2 and Mg2+) and water molecules occupy the erionite cages and are distributed on sites located on the symmetry axis (Gualtieri et al., 1998). Alberti et al. (1997) found that there are three partially occupied positions (Ca1, Ca2 and Ca3) in the erionite cages and each is coordinated with water molecules. One additional cationic site was observed at a special position (1/2, 0, 0) by Ballirano et al. (2009) in erionite-K and labelled K2. This site corresponds to the K site found by Schlenker et al. (1977) in dehydrated erionite-Ca and to the Ca4 site found by Gualtieri et al. (1998) in some natural erionite-Ca samples and was attributed to the presence of extra-framework K+, Na+ and Ca2+ (Ballirano et al., 2017).
The growth of the erionite crystals along the c axis gives it an elongated morphology that often develops into an asbestos-like habit (Belluso et al., 2017). As provided by long-term epidemiological studies and several in vivo tests, fibrous erionite is responsible for epidemics of malignant mesothelioma (MM) in Cappadocia (Turkey), where three villages (Karain, Tuzköy and Sarihidir) were built with erionite-bearing tuff rocks (Carbone et al., 2007; IARC, 2012). MM is a highly aggressive cancer that arises from mesothelial cells of the pleura, peritoneum and pericardium, with a median survival of about a year from diagnosis (Carbone & Yang, 2012). The epidemic of MM in Cappadocia was first described by Baris et al. (1978), but epidemiological studies of how and why this disease occurs in different groups of people in Cappadocia are still ongoing (Bariş et al., 1996; Metintaş et al., 2017). The data acquired to date show that fibrous erionite is identified as the cause of MM in over 50% of the population in the three aforementioned villages (Dogan, 2012). In Tuzköy, the annual incidence of MM was estimated at 22 cases per 10000, it was identical for men and women and the mean age was roughly 50, with the range 26–75 years (Artvinli & Bariş, 1979; Baris et al., 1978; Simonato et al., 1989; Carbone et al., 2007; Emri, 2017). Traces of erionite have been detected in the air and lungs of people from these villages and it has been suggested that inhalation of even small amounts of erionite is sufficient to cause MM (Baris et al., 1981; Sebastien et al., 1981; Carbone et al., 2007). More recently, erionite exposure issues have also emerged in the USA (Van Gosen et al., 2013). For these reasons, the International Agency for Research on Cancer (IARC) included fibrous erionite as a Group 1 `substance carcinogenic to humans' (IARC, 2012), and this mineral is considered today similar to or even more carcinogenic than the six regulated asbestos minerals (Wylie, 2017).
Although the toxic and carcinogenic potential of fibrous erionite is not in question, the mechanisms by which it induces cyto- and genotoxic damage are not yet fully understood (Gualtieri et al., 2016). Carcinogenesis is a complex phenomenon and multiple factors can contribute to erionite toxicity and MM development: (1) the morphology of erionite fibres. As shown in the literature data, length (L) and width (W) of fibres are key factors in the toxicity, inflammation and pathogenicity of asbestos and erionite fibres (Donaldson et al., 2010; Gualtieri, 2018; Carbone et al., 2019). Fibres with high L/W ratios can reach the low respiratory tract of the lungs and their retention in the parietal pleura leads to the initiation of inflammation and pleural pathology such as MM (Donaldson et al., 2010; Carbone et al., 2019). Fibrous particles with L > 8 µm and W < 5 µm cannot be eliminated by macrophages (Churg, 1993), leading to an inflammation process known as `frustrated phagocytosis' (Gualtieri, 2018). (2) Genetics predisposition. Recent studies showed that specific genetic mutations of mesothelial cells (i.e. germline BAP1 mutations) increase the susceptibility of developing MM at very low levels of erionite exposure (Carbone et al., 2013, 2019). (3) The iron-bearing particles present at the erionite surface. These impurities may be responsible for carcinogenic activity namely via production (Gualtieri et al., 2016). According to the model described by Gualtieri et al. (2016), surface particles may dissolve during phagocytosis when the erionite fibres are engulfed in the phago-lysosome sacks at pH = 4–4.5. Dissolution may leave a residue of iron atoms at specific sites anchored to the surface windows of the six-membered rings. These surface sites can be responsible for producing H2O2 that accounts for adverse effects at the cellular and subcellular levels. (4) The high biopersistence of erionite fibres, i.e. their ability to remain in the human body despite physicochemical processes such as dissolution, leaching, breaking, splitting or mechanical clearance. Acid zeolites like erionite with an Si/Al ratio > 2.5 are insoluble in an acidic environment (like the extracellular environment of the lung) because the expected dealumination process does not lead to a collapse of the framework (Gualtieri et al., 2018). (5) The cation-exchange capacity of erionite. In contact with the extracellular and intracellular solutions, erionite fibres may induce ion exchange with the release of extra-framework metals in the lung environment (Gualtieri et al., 2019) and alteration of the cell homeostasis (Di Giuseppe et al., 2022).
In the literature, many authors reported the mineralogical and chemical characterization of a wide range of erionite samples [see for example, Ballirano et al. (2017) and references therein] to try to correlate the toxicity/pathogenicity mechanisms of fibrous erionite to its mineralogical and microstructural properties. However, until now the of this carcinogenic fibrous erionite from the three villages of the Cappadocia region has not been determined. We report the of a single erionite fibre from Tuzköy village, determined by synchrotron nano-diffraction. A detailed investigation of this zeolite is a fundamental step needed to draw a general model of the toxicity/carcinogenicity of Turkish's fibrous erionite and elucidate the trigger mechanisms of MM.
2. Experimental
2.1. Geological overview
The fibrous erionite selected for the study is from Tuzköy, a village located at the junction of the Derinoz and Kizilirmak Rivers in the Nevşehir province (Cappadocia, Turkey). A detailed geological description of this area is reported by Temel & Gündoğdu (1996). Tuzköy village is situated near an erionite-bearing outcrop of the Zelve ignimbrite unit (upper Miocene). This geological unit is characterized by a basal pumice fall layer and was formed by several pyroclastic units that cover an area of about 4200 km2 in the north of Nevsehir (Temel & Gündoğdu, 1996). Erionite has crystallized with other zeolites (mainly clinoptilolite and chabazite) through hydration reactions (diagenetic processes) from the amorphous aluminosilicate glass of the pyroclastic material deposited in alkaline and saline environments (Temel & Gündoğdu, 1996; Dogan, 2003).
2.2. Thermogravimetric and differential thermal analysis
The evolution of the release of volatiles from the samples was analysed by thermo-gravimetric and −1 in the range 27–1112 °C, and with a heating rate of 10 °C min−1.
(TG-DTA) using a simultaneous (SDTA) SEIKO SSC/5200 SII instrument. Data were collected in air with a flow rate of 2 µl min2.3. Micro-Raman analysis
The sample of erionite from Tuzköy (Turkey) was analysed by µ-Raman spectroscopy. The fibrous powdered sample was prepared for the analysis in a sealed configuration, working in a fume hood: a small amount of powder (≤1 mg) was stuck to a double-sided tape adhering to a microscope glass. The powder was covered by a coverslip and sealed to the glass substrate. Fibrous erionite from Jersey (Nevada, USA) was analysed in the same sealed configuration as the reference. An offretite crystal from Saviore dell'Adamello, Brescia (Italy) was used to discriminate any presence of offretite in the sample.
The µ-Raman measurements were performed with two spectrometers. The fibrous content was examined with a HORIBA Jobin Yvon LabRam HR Evolution confocal micro-spectrometer (800 mm focal length) using an He–Ne 632.8 nm laser line as the excitation source, with an integrated Olympus BX41 microscope with 5×, 10×, 50× ULWD and 100× objectives, a 600 grooves mm−1 grating, an XYZ motorized stage and liquid-nitrogen-cooled silicon CCD. The pinhole was fixed at 100 µm to reduce the upper glass contribution. The spectral resolution is about 2 cm−1. Minor mineral phases and iron-containing compounds in the sample were analysed with a HORIBA Jobin Yvon LabRam confocal micro-spectrometer (300 mm focal length) using an He–Ne 632.8 nm laser line as the excitation source, with an integrated Olympus BX40 microscope with 4×, 10×, 50× ULWD and 100× objectives, an 1800 grooves mm−1 grating, an XY motorized stage and a Peltier cooled silicon CCD. The spectral resolution is about 2 cm−1. The systems were calibrated using the 520.6 cm−1 Raman peak of silicon. The spectra were recorded in the 100–1200 cm−1 spectral region with typical exposures of 30 s repeated at least ten times. Data analysis was performed by the LabSpec 5 built-in software. Fits with band deconvolution were carried out using Gauss–Lorentzian functions.
2.4. X-ray powder diffraction
The fibrous erionite sample studied in this work was extracted from a friable yellowish tuff in which the crystal fibres were not visible to the naked eye. To obtain the full mineralogical composition of the whole tuff, a representative sample was ground with ethanol to prevent the fibres from dispersing, and the resulting powder was homogenized in an agate mortar. The mineralogical composition of the sample was determined by X-ray powder diffraction (XRPD). The pattern was collected using a conventional Bragg–Brentano Philips diffractometer (model PW-1729), with θ–2θ geometry, Cu Kα radiation, 40 kV, 30 mA and a KSA The powder was loaded on an aluminium sample holder. Data were collected in continuous mode with a 2 mm fixed divergence and anti-scatter slits mounted in the incident beam. An integrated step-scan of the detector of 0.02 °2θ was used with a time of 25 s, from 3 to 55 °2θ. Phase identification was performed using the search–match procedure developed in Match! (Crystal Impact, 2014). Instrument parameters and data for each phase present in the samples were input into the TOPAS5 suite (Coelho, 2018). The background coefficient (polynomial function), lattice parameters, zero-shift error, scale factor, peak shape parameters and were refined.
2.5. Scanning electron microscopy
Qualitative observations of mineral fibres inside the sample were performed by L) and width (W) of fibres were determined on about 110 individual particles, using 30 SEM images. L and W were calculated using the ImageJ image analysis software (version 1.52a; Rasband, 1997–2018). Energy-dispersive (X-EDS) data were collected for the qualitative determination of the chemical composition of erionite fibres.
(SEM). SEM analyses were performed using an FEI Nova NanoSEM 450 FEG-SEM equipped with an X-EDS Bruker QUANTAX-200 system, with 20 kV accelerating voltage, 5 mm working distance and 3.5 µA beam current. A small amount of unground sample was mixed with 1 ml of water. A drop of the suspensions was laid on a carbon tape mounted on an Al stub, left to air dry and gold-coated (10 nm thick). Images were collected using the signal of both back-scattered and The surface of the samples was investigated, working at different magnification levels. The length (2.6. Transmission electron microscopy
Three dimensional-electron diffraction (3DED) data (Kolb et al., 2007; Mugnaioli & Gemmi, 2018; Gemmi et al., 2019) were collected with a Zeiss Libra TEM operating at 120 kV and equipped with an LaB6 source. 3DED acquisitions were performed in STEM mode after defocusing the beam to give a pseudo-parallel illumination on the sample. A beam size of about 150 nm in diameter was obtained by inserting a 5 µm C2 condenser aperture. An extremely mild illumination was adopted to avoid any alteration or amorphization of the sample.
3DED data were collected in discrete steps of 1° on ten crystals that were identified by energy-dispersive ; Mugnaioli et al., 2009), obtained by a Nanomegas Digistar P1000 device. The best-3DED dataset on erionite included a total tilt range of 95°. The camera length was 180 mm, with a theoretical resolution limit of 0.75 Å. ED data were recorded by an ASI Timepix detector, which records the arrival of single electrons and delivers a pattern that is virtually background-free. Data were analysed by ADT3D (Kolb et al., 2011) for cell and determination and by PETS2 (Palatinus et al., 2019) for intensity integration. Ab initio was obtained by implemented in the software SIR2014 (Burla et al., 2015). Data were treated with the kinematical approximation (Ihkl ∝ F2hkl).
(EDS). To reduce dynamical effects, the data for the structure solution of erionite were taken using beam precession with an inclination angle of 1° (Vincent & Midgley, 19942.7. Quantitative chemical analysis
Quantitative chemical composition of the fibrous erionite was obtained at the Department of Earth Sciences, University of Milan, using a Jeol 8200 SuperProbe Electron Probe Microanalyzer equipped with a wavelength-dispersive X-ray (WDS) spectrometer system, W hairpin-type filament. The detectable wavelength is 0.087–9.3 nm. The Z) ≤ 0.1 (CuZ). The following analytical conditions were used: 15 kV excitation voltage, 5 nA specimen current, 30 s peak-count time and 10 s background-count time. The instrument was also equipped with an EDX system characterized by a detectable element range: Na to U, energy resolution: 144 eV and lithium (Li)-doped silicon single-crystal semiconductor detector. The following elements were measured at each analytical spot: Si, Al, Mg, Ca, Na, K, Fe and Ba. Calibration used a set of standards: omphacite for Na; orthoclase for K; forsterite for Mg; fayalite for Fe; and grossular garnet for Al, Si, and Ca. The raw data were corrected for matrix effects using the phi-rho-Z method from the Jeol series of programs.
resolution on BSE is (2.8. Nano-single-crystal diffraction
Erionite fibres were manually separated from the tuff matrix under a stereoscopic optical microscope. Several crystals were glued onto MiTeGen microloops (Fig. S1 of the supporting information) and mounted on magnetic supports compatible with the nanoscope station at ID11 (Wright et al., 2020; Giacobbe et al., 2021). Nano-single-crystal X-ray diffraction (n-SCXRD) datasets of the erionite fibre (∼350 × 540 nm × 20 µm, see Fig. S2) were collected at beamline ID11 [The European Synchrotron Radiation Facility (ESRF), Grenoble, France] using a monochromatic beam produced by a bent Si(111) Laue–Laue double-crystal monochromator (38 keV, wavelength λ = 0.3257 Å, relative bandwidth Δλ/λ ≃ 10−3). Beam damage tests due to possible beam heating were performed before the data collection (Lawrence-Bright et al., 2021). The diffraction images were collected with a sample-to-detector distance of 118.81 mm using a Dectris Eiger2 4M CdTe detector with an array of 2162 × 2068 pixels of 75 × 75 µm. Precise calibration of the detector distance and tilts was obtained using a crystalline CeO2 standard and the spatial alignment of the detector modules was determined using the novel procedure described elsewhere (Wright et al., 2022). Diffraction frames were collected with a continuous scan over 360° (slicing 0.1°) on the most suitable erionite crystal. Three datasets were measured in different positions of the fibre. NeXus/HDF5 data were then converted into the `Esperanto' format using the script Eiger2crysalis, a portable image converter based on the FabIO library to export Eiger frames (including those from LImA) to a set of Esperanto frames which can be imported into CrysalisPro (Rigaku, 2015). The converted images were successively indexed and integrated using CrysAlisPro.
Absorption effects were corrected using SCALE3 ABSPACK of CrysAlis (Rigaku, 2015) via a multi-scan semi-empirical approach. Rint values of 5.4% were obtained (with a data resolution of 0.75 Å). The was solved by using SIR2019 (Burla et al., 2015) and refined using SHELXL-2014 (Sheldrick, 2015). The material for publication was prepared by WinGX (Farrugia, 2012) and publCIF (Westrip, 2010). The CheckCIF procedure available at https://checkcif.iucr.org/ was used to validate the model.
3. Results
3.1. TG-DTA
et al., 2017; Arletti et al., 2018). The third main thermal event around 657 °C (8.43% weight loss) is related to dehydroxylation reactions (Ward, 1972). The fourth event at 830 °C corresponds to the release of CO2 following the decomposition of carbonates (Mertens et al., 2007).
of the bulk sample is reported in Fig. S3. The sample exhibits three main endothermic events which occur with maximum reaction rates at about 72.7, 149, 657 and 830 °C. The weight losses corresponding to the first two thermal events are 1.46 and 3.88%, respectively. These thermal events are related to the release of water that, as typical in many zeolites or zeolite-based materials, begins from early heating stages (Scapino3.2. Raman spectroscopy
The Raman spectra of the erionite from Tuzköy and the erionite reference are shown in Fig. S4. Although natural erionite and offretite can intergrow, the presence of offretite was ruled out in the sample from Tuzköy, as µ-Raman analysis can reliably assess the presence/absence of the two phases. Raman spectra acquired on the fibres correspond to the zeolite erionite, while the offretite contribution was not detected (the characteristic peak of offretite at 431 cm−1 is absent). The Raman spectrum of an offretite crystal with its distinctive habit from a typical locality where this zeolite was found (Saviore dell'Adamello, Brescia, Italy) is also reported in Fig. S4 (Passaglia et al., 1998; Guastoni et al., 2002).
The main Raman features of erionite are observed in the spectral region between 400 and 600 cm−1, which are assigned to the bending motion of T—O—T bonds in tetrahedra with T = Si, Al. The most intense band was deconvoluted into two contributions, at 487 and 468 cm−1, respectively (inset in Fig. S4). Other bending signals are found at ∼340 and ∼570 cm−1. A low-intensity signal was observed at ∼1040 cm−1, corresponding to the asymmetric stretching vibration of the Si—O bonds. In the low-wavenumber region, a Raman band at ∼130 cm−1 was assigned to the lattice modes within the tetrahedra of the zeolites (Knops-Gerrits et al., 1997; Wopenka et al., 1998). Within the sample, minor mineral phases were detected, in addition to the erionite contribution, as confirmed by the XRPD analysis. Colourless crystals of quartz and feldspars are mixed with the fibres. The Raman spectra of quartz and albite are shown in Fig. S5, detailing the main Raman features. Micrometric crystals with orange to brownish colour have also been found mixed with the fibres, showing the presence of iron-containing compounds (Fig. S6). They consist mainly of hematite, while the presence of goethite and magnetite is rare.
3.3. XRPD
The quantitative phase analysis (QPA) performed using the Rexp = 3.133, Rwp = 11.780%, Rp = 8.425%. The graphical output of the is shown in Fig. S7.
shows that the Tuzköy`s tuff contains erionite 42.64 (4) wt%, clinoptilolite 24.8 (4), quartz 13.0 (1) wt%, sanidine 7.59 (4) wt%, hornblende 5.28 (4) wt%, albite 5.05 (2) wt% and mica 1.63 (1) wt%. The agreement indices of the Rietveld quantitative phase analysis are3.4. SEM
A gallery of SEM images collected is reported in Fig. 2. The Tuzköy tuff is mainly composed of fibrous erionite crystals grouped in stocky bundles [Figs. 2(a)–2(c)] with variable W (between 2 and 11 µm) and L (between 15 and 47 µm). These bundles have a great tendency to slit into very fine fibrils [Fig. 2(d)]. The individual fibrils are dispersed into the matrix [Fig. 2(a)]. The morphology of the erionite fibres is prismatic or acicular and generally longer than 5.0 µm. They have a width ranging from 0.16 to 4.2 µm (Table S1 of the supporting information). Summary statistics of erionite fibre geometry (over 110 fibres) are reported in Table S1. All of the observed fibres have a L/W ratio >3:1. The X-EDS spectra were acquired on the bundles and single fibres (Fig. S8).
In agreement with the literature data, X-EDS data revealed the occurrence of Ca, Mg and K as extra-framework ions [Fig. S8(c)]. Also, a small amount of Fe content was detected [Fig. S8(d)]. However, high-resolution FEG-SEM images highlighted the presence of nanoparticles (with variable sizes) located at the surface of the bundle (Fig. S8b). It has already been shown that the presence of Fe in the erionite chemical analyses can be attributed to these impurity phases (Gualtieri et al., 2016; Cametti et al., 2013).
3.5. TEM
The TEM investigation was primarily performed to assess whether erionite from Tuzkoy presents offretit-disordered sequences. Fig. 3 shows typical bundles of erionite fibrils. TEM images confirmed that the variability of bundle dimensions is in line with the SEM study. As already described by Matassa et al. (2015), erionite tips often display a fringed appearance [Figs. 3(b) and 3(c)]. This evidence confirms that what is usually considered a fibre is a bundle of fibrils with a thickness of only a few tens of nanometres.
Several energy-dispersive X-ray (EDX) spectra coupled with 3DED were collected along thin erionite bundles or at the very tip of larger bundles. Representative chemical analyses are reported in Figs. 3(b) and 3(c). The red circles indicate the areas from which the chemical analyses were performed. The ribbon-like bundles revealed [in agreement with Ballirano et al. (2015)] the occurrence of Mg, Ca, K, Al and Si and, in some cases, a significant amount of Fe. As demonstrated by Gualtieri et al. (2018), Fe is not part of the erionite but is associated with impurities that are mostly concentrated on the surface of the fibres. Cross-fibre EDS profiles show no significant change in chemical composition, ruling out the occurrence of clear polytypic sequences connected with chemical variations.
Although a relatively high Mg content was found, 3DED confirmed that all the specimens were characterized by lattice parameters consistent with erionite, and not with offretite. Although 3DED data did not prove to be as sensitive as synchrotron nano-diffraction for the extra-framework content, they were sufficient to solve the typical zeolite framework of erionite ab initio and to locate the K ion in the cancrinite cage, enforcing the evidence that offretite was not present.
3.6. Electron probe microanalysis
The results of the electron probe microanalyses (EPMA) expressed as weight percentages with standard deviations are reported in Table S2. The erionite chemical formula was calculated after renormalization of the chemical analyses, hypothesizing a water content of 18 wt% (corresponding to ∼30 water molecules per formula unit). The resulting chemical formula (K2.63Ca1.57Mg0.76Na0.13Ba0.01)[Si28.62Al7.35]O72·28.3H2O was obtained from the average of the chemical analyses of each sample passing the balance error (E%) (Passaglia, 1970).
3.7. SCXRD
The X-ray structural parameters of the erionite from Tuzköy collected at ID11 (ESRF) are reported in Table 1 and Figs. 4(a) and 4(b). It crystallizes in the hexagonal system, and were consistent with the P63/mmc. The unit-cell parameters a = b = 13.2708 (1) Å, c = 15.0958 (1) Å and V = 2302.40 (4) Å3 are slightly smaller than the values in the models previously proposed by Alberti et al. (1997), Gualtieri et al. (1998), Ballirano et al. (2009) and Cametti et al. (2013), showing that the `individual' information derived from SCXRD data is close to the literature bulk information based on powder data (i.e. the c/a ratios of the model described below are identical within 1σ).
|
The R[F2 > 2σ(F2)] = 0.038, wR(F2) = 0.114, S = 1.09. The analysed fibre is a fibril with a section whose diameter is about 200–300 nm isolated from larger `bundles' of fibres.
converged atThe chemical partition after the final 2.64Ca2.61Mg0.60Na0.12)[Si28.53Al7.38]O100.80 (omitting the contribution of the hydrogen atoms), in line with the calculated chemical analysis (K2.63Ca1.57Mg0.76Na0.13Ba0.01)[Si28.62Al7.35]O72·28.3H2O, except for the undetected traces of Ba and a higher content of Ca. Fractional coordinates, site partition (s.p.) atomic displacement parameters and (s.s.) are reported in Table S4, and relevant bond distances are supplied in Table 2.
was (K
|
3.8. Framework
Two crystallographically independent tetrahedral sites were refined: T1 and T2, respectively, occupied by Al1 and Si1 (for T1), and Al2 and Si2 (for T2). These two sites, sitting on the positions x/a = 0.23398 (4), y/b = 0.99978 (3) and z/c = 0.10458 (3); and x/a = 0.33174 (4), y/b = 0.90620 (5) and z/c = 0.2500, build the D6R and S6R cages, respectively. Al1 and Si1, as well as Al2 and Si2, share the same site and, as such, their anisotropic thermal factors and occupancies have been constrained during the Free variables linked to the site-occupancy factors of Al and Si over the two crystallographic sites were refined with the restraint that the total percentage of each species has to satisfy the chemical analysis results (the target values), according to which Si is the dominant chemical species (79.57%) while Al corresponds to the remaining 20.43% of the total population of the two sites.
The mean bond distances 〈T1—O〉 = 1.637 Å and 〈T2—O〉 = 1.630 Å indicate a very small difference between the mean [T—O] distances of the two tetrahedral sites (〈T1—O〉 − 〈T2—O〉 is only 0.007 Å). Application of the Jones (1968) determinative curves indicates a small preference of Al for T2 (s.p. = 0.34) compared with T1 (0.14), in excellent agreement with both the chemical data and the refined site partition.
Individual T—O—T angles show no deviation from the values described by Alberti et al. (1997), Gualtieri et al. (1998) and Ballirano et al. (2009).
3.9. Extra-framework
The positions of the extra-framework atoms were identified by careful inspection of the electron-density map calculated by Fourier difference synthesis. The strong disorder of the extra-framework atoms and the presence of nearly isoelectronic cations reduced the discrimination power of the agreement factor RF; the criterion based only on the minimization of RF, if used stand-alone, was not sufficient for the correct assignment of the atomic species. To guide the structure completion process and correctly label the extra-framework atoms in the final steps, the use of prior information on the chemical composition and the expected coordination of the cations was extremely helpful. The species were assigned based on the coordination and the distances from the surrounding water molecules of the candidate cations, in agreement with the chemical characterization results, by choosing the association that also minimized the RF of the to 3.8%. The extra-framework content was found to be the following:
The cancrinite cage hosts the K atom (i.e. K1) as shown in Fig. 4(d). This site is fully occupied, in line with the chemical characterization. As reported in the work by Gualtieri et al. (1998), this site may be fully occupied, as in the case of Lady Hill and Shourdo erionites, or only partially occupied (down to 85%) as in the case of the erionites found in Tunguska. The K1 atom is 12-fold coordinated with six O2 atoms (2.923 Å) and six O3 atoms (3.376 Å). The K1—O3 distance is longer than the K1—O2 distance. This difference is well reported by Cametti et al. (2013) for the woolly erionite-Na from Oregon. Another K site, K2, in position x/a = 0.5, y/b = 1 and z/c = 0, has been found with a site occupancy of 10%. K2 is coordinated to two O4 atoms (3.119 Å), four O1 atoms (3.276 Å), two oxygens OW3 (2.65 Å) and two oxygens OW1 (3.3192 Å); with the labels OWj, j = 1,…6, we refer to the oxygen atoms of the water molecules (due to the great disorder of the solvent, the hydrogens atoms of the water molecules were not positioned).
Several cation positions have been found in the erionite cage at different z/c heights as shown in Fig. 4(c).
The
indicated that the extra-framework cations are located at three Ca1, Ca2 and Ca3 sites, with the Ca2 and Ca3 sites partially substituted by Na and by all available Mg, respectively. We have also identified six water molecule sites.The refined Ca population in erionite from Tuzköy shows a higher value than that reported in the chemical analysis. As in the work by Alberti et al. (1996), this difference can be explained by cation migration during the analysis or by the intrinsic difference of a bulk versus a single fibre/crystal analytical technique.
The Ca1 site is partially occupied and sits, along the axis of the erionite cage, at z/c = 0.4016 (14). The z/c coordinate is slightly displaced from the threefold axis. The Ca2 site is shared with the Na2 atom. Owing to some instabilities during the the Na2 occupancy was constrained to respect the same partition as derived from the chemical analysis, while the occupancy of the Ca2 was initially set free to be refined and then, once a refined value was obtained, it was fixed and some additional cycles were carried out. Both Ca2 and Na2 have been constrained to the same anisotropic thermal factors.
The last site is Ca3, which is shared with the Mg3 atom. As already observed by others (Ballirano et al., 2009), some difficulties have been encountered when modelling the occupancies of this site. This site is partially occupied at 21% (value originally obtained by refining the occupancy under the hypothesis that only Ca3 was present). The total content of Mg is in line with other erionites [see the woolly sample from Durkee, Oregon in the work by Cametti et al. (2013)]. Higher values can be used to discriminate between erionite and offretite. To rule out the presence of the latter, we performed a further crystallographic test, which is discussed in the following section.
According to the bond analysis (below 3.3 Å; Table 2) and Fig. 5, Ca1 is surrounded by three OW1 at a distance of 2.33 Å, three OW6 at a distance of 3.13 Å and one OW5 at a distance of 2.29 Å. Ca2 (site shared with Na2) is connected instead to nine OWj atoms (three OW3 at 2.06 Å, three OW1 at 2.26 Å and three OW2 at 2.54 Å, respectively). Ca3 (site shared with Mg) is coordinated to nine OWj atoms, i.e. six OW2 (three of them at a distance of 1.77 Å and the rest at a distance of 2.25 Å) and three OW4 at distances of 2.20 Å. Six oxygen sites assigned to H2O were found using difference Fourier maps; these are all located in the erionite cage as shown in Fig. S9. Concerning the oxygen positions of the water molecules, some differences are found compared with the model described by Cametti et al. (2013), Ballirano et al. (2009) and Gualtieri et al. (1998), but this is not surprising because the content and position of H2O molecules in erionite samples are extremely variable. All water site occupancies have been refined and are displayed in Fig. S9. The ISOR weak restraint for all the oxygen atoms of the water molecules has been applied to allow approximately isotropic The PLATON alert (PLAT260_ALERT_2_B) concerning OW1 and OW6 may be attributed to solvent disorder in the erionite channels.
4. Discussion
This study reports the full crystal-chemical and structural characterization of a mesotheliomagenic erionite fibre from Tuzköy (Turkey). We have used the term `killer' fibre because it is universally shared that fibrous erionite is directly responsible for fatal lung malignancies (namely MM) in the population living in the Cappadocian area of Turkey (Carbone et al., 2011). The potency of fibrous erionite in inducing MM in rats has been observed by Wagner et al. (1985). Carthew et al. (1992) reported that erionite has 300–800 times more MM potency than chrysotile and 100–500 times more such potency than crocidolite when given through intrapleural routes in animals. These data are confirmed by other animal studies showing that erionite is 200 times more tumorigenic than crocidolite (Hill et al., 1990) and 500–800 times more tumorigenic than chrysotile (Coffin et al., 1992). In the Cappadocian region, exposure to fibrous erionite caused an MM epidemic that was unprecedented in history in the villages of Karain, Sarihidir and Tuzköy as a result of the inhabitants building their homes from erionite-rich pyroclastic rocks (Carbone et al., 2011).
Although genetic susceptibility has been invoked to explain the aetiology of MM (see below) and especially the high potency of erionite in inducing MM in humans (Carbone & Yang, 2012), the peculiar crystal physicochemical properties (surface iron, biodurability) of fibrous erionite and their interplay with extrinsic factors explain its carcinogenic potential. For this reason, the determination of the crystal chemistry of the erionite fibre from Tuzköy (Turkey) allowed us to reconstruct a detailed physical profile of this `killer' substance.
4.1. The offretite dilemma
Erionite is often associated with the `sister' zeolite offretite [OFF] with the ideal formula K2Ca2Mg2[Al10Si26O72]·32H2O, hexagonal with unit-cell parameters of approximately a = 13.29, c = 7.58 Å and the P6m2 (Passaglia et al., 1998). Because erionite–offretite epitaxial growths and disordered erionite–offretite stacking sequences are common (Passaglia et al., 1998), especially in Mg-rich samples, there is a need for precise identification of the erionite fibre from Tuzköy to rule out an offretite or an erionite–offretite sequence. This point is very important due to the implication of erionite in causing MM. If it is discovered that the studied crystal is offretite or a mix erionite–offretite instead, there would be resounding implications at health, regulatory and legal levels. First of all, offretite should be explicitly included in the list of IARC carcinogens together with erionite while, at present, it is only suspected to have toxic potential similar to that of erionite (Mattioli et al., 2018).
Although it is very difficult to distinguish erionite from offretite, because they have similar cation content and crystal structures, the results of our study unequivocally rule out the possibility that erionite from Tuzköy is actually offretite.
Our attention was first focused on the Mg content. The Mg values (Mg0.60 from the structure and Mg0.76 from the EPMA, respectively) indicate that we are in the composition range of erionite and not in that of offretite, which shows a limited variation and Ca/Mg ratio very close to 1.0 (Passaglia et al., 1998).
From a crystallographic standpoint, the metric relationship existing between the cell parameters of the two structures suggests that most of the Bragg peaks of the two zeolites coincide exactly in their diffraction patterns (Kerr et al., 1970; Bennett & Grose, 1978). In more detail, the l = 2m (m ≠ 0) hkl reflections of the erionite perfectly overlap the (hkm) reflections of the offretite, as well as the (hk0) of erionite with the (hk0) of the offretite. There are, however, a few relatively strong diffraction lines due to the unit-cell doubling [namely the (101), (201), (211), (213), (311) reflections (Passaglia et al., 1998)] that only belong to erionite. The appearance of these reflections is considered a further validation for the presence of erionite. Fig. 6 shows the assessment of these (hkl) reflections in the raw images collected during the single-crystal experiment.
Nevertheless, if we consider low-θ (high d-spacing) indices, there is another reflection, namely (103), that the work of Passaglia et al. (1998) did not include in the list. A plausible reason why Passaglia et al. (1998) do not mention the (103) reflection may be because the results were obtained from powder diffraction and so this reflection tends to be overlapped with the (202). This additional characteristic reflection may still improve the `diagnostic' for testing the effective presence of the erionite with sufficiently high-resolution powder data.
The test described above, however, does not rule out the presence of offretite; thus a method considering the intensity ratio of Bragg peaks containing only the erionite scattering contribution to those containing both the erionite and the offretite contributions could be used to determine the offretite content in erionite. This method described by Passaglia et al., (1998) has been applied by normalizing the intensity of the 210 peak (present in both erionite and offretite) to clearly show the change in the 210/211 [only observable in erionite, owing to (211)]. The same method has been applied to our single-crystal study (Fig. 7). In our case, the data used for this test were collected at different heights of the investigated fibre which is prismatic and does not have a constant volume exposed to the X-rays. This means that, for different measures in height, the scattering intensity must not be the same. If some intercalation of offretite was present, the ratio between 210 and 211 integrated intensities would change. For this test, this value remains substantially constant and this rules out the possibility of offretite stackings.
4.2. Classification of the erionite fibre
Given that the Tuzköy fibre is not offretite, this species should be classified within the erionite family. The chemical formula calculated from the 2.63Ca2.62Mg0.60Na0.13)[Si28.56Al7.44]O72·28.80H2O and indicates an erionite-K/erionite-Ca term. This is different from the mean chemical formula obtained from the EPMA that is (K2.63Ca1.57Mg0.76Na0.13Ba0.01)[Si28.62Al7.35]O72·28.30H2O and points to an erionite-K term. The two formulae differ mainly for the Ca content and this can be due to several reasons: (i) EPMA data were obtained by averaging various points sampled on several eventually different fibres; (ii) chemical characterization was performed using a bulk technique, whereas the crystallographic characterization was performed on a single fibre; (iii) erionite possesses intrinsic variability, as also demonstrated in the EDX spectra collected on different erionite fringes; (iv) chemical point analysis using sources of electrons can be problematic (Clark et al., 1995) when the target is a thin mineral fibre or fibre bundle because there is a strong influence of the shape and thickness of these anisotropic particles on the detected signal (Valdrè et al., 2018). Also for EDS-based determinations, especially for long analysis times, possible beam damage of the zeolite fibre and loss of low-Z elements, particularly Na, may be expected (Dogan, 2012).
using SCXRD is (KThe chemical variability of the Cappadocian erionites is confirmed by point chemical analyses determined by Dogan (2012), indicating both erionite-K and erionite-Ca terms with a prevalence of the erionite-K for the TEM-EDS results independently verified by EPMA. Dogan (2012) proposed the mean formula (K3.09Ca1.57Mg0.55Na0.26)[Si28.70Al6.61Fe0.60]O72 (water molecules omitted) in agreement with our EPMA-determined formula.
4.3. Environmental and health implications of the study
The in vivo and lead to the onset of MM. The profile of this erionite `killer' fibre rules out the role of the other `suspects': offretite or erionite–offretite disordered sequences.
of the mesotheliomagenic erionite fibre from Tuzköy will aid the understanding of the biochemical mechanisms that cause adverse effectsTuzköy fibres are longer than 5.0 µm and display widths in the range 0.16 to 4.2 µm (Table S1). Geometrically, these erionite fibres cannot negotiate the aperture (3–10 µm wide) of the pleural diaphragmatic stomata and can undergo phagocytosis attempts by phagocytic cells leading to inflammation in the pleural space. Because erionite fibres are biodurable and phagocytosis is inefficient, the inflammation activity is chronic and causes damage to the DNA of the adjacent mesothelial cells, initiating the sequence of adverse effects leading to the onset of MM.
The Tuzköy erionite fibre does not host iron in the structure, but micrometric iron-rich particles of hematite and subordinate goethite and magnetite can be found at the surface of the fibres. These iron-rich impurities may be responsible to produce ROS (Gualtieri et al., 2016; Gualtieri, 2018) and can dissolve during partial phagocytosis when the erionite fibres are engulfed in the acidic phago-lysosome sacks, leaving a residue of iron atoms at specific catalytic sites anchored to the surface windows of the six-membered rings of erionite. The newly formed iron species form cyto/geno-toxic free radicals when they are in contact with H2O2 released during phagocytosis.
We have also seen that the Tuzköy fibre is rich in Ca2+ and K+ extra-framework cations. These cations can be exchanged in both extracellular and intracellular media (Di Giuseppe et al., 2022). In lung lining fluid of the extracellular environment, the cation content is: K+ 6–29 mM, Na+ 82–132 mM, Ca2+ 4 mM while in the cytosol (intracellular environment) the cation content is K+ 139–150 mM, Na+ 12 mM, Ca2+ 2 × 10−4 mM (Lodish et al., 1999; Innes et al., 2021). Considering the cation-exchange properties of erionite [with the selectivity series Rb+ > Cs+ > K+ > Ba2+ > Sr2+ > Ca2+ > Na+ > Li+ (Sherry, 1979)], the Tuzköy fibre can adsorb and trap K+ in its micropores and release Ca2+ in both extracellular and intracellular environments. The minor amount of extracellular and intracellular Ca2+ can also be exchanged by extra-framework Na+ (and eventually Mg2+).
It is still unknown whether Ca2+ exchange interferes with calcium cross-talk in the cytosol. The latter is assumed to be one of the most important biochemical mechanisms controlling cell survival/proliferation. According to the model delivered by Carbone & Yang (2012), cells with extensive DNA damage caused by exposure to erionite undergo programmed death (apoptosis) and do not grow into malignancies due to the action of genes like BAP1. In the endoplasmic reticulum (ER), BAP1 protein binds, deubiquitylates and stabilizes type 3 inositol-1,4,5-trisphosphate receptor (IP3R3), modulating Ca2+ release from the ER into the cytosol and mitochondria to promote apoptosis (Bononi et al., 2017). Reduced levels of BAP1 in the genetically predisposed carriers of the mutated BAP1± forms are responsible for the reduction both of IP3R3 levels and Ca2+ preventing BAP1± cells that accumulate DNA damage from executing apoptosis. A higher fraction of cells exposed to erionite survives genotoxic stress, resulting in a higher rate of cell transformation and proliferation and a higher probability of onset carcinogenesis. Ca2+ exchange induced by erionite can modify cytosol ion concentration and eventually alter the ER-mitochondria cross-talk (calcium ATPase pump) to restrain or interrupt the mitochondrial apoptotic pathways in the same way as the lack of BAP1 (substituted by the modified forms BAP1±) does. Hence, intracellular Ca2+ exchange may be a co-factor in determining the mesothelioma-genicity of erionite-like genetic susceptibility.
Finally, we note that the behaviour of erionite-K/erionite-Ca from Tuzköy should differ from that of other erionite species like erionite-Na from Jersey (Nevada, USA) (Gualtieri et al., 2016) for which extracellular/intracellular K+ and Ca2+ exchange by Na+ should be more efficient.
More work is needed to understand the cation-exchange mechanisms of erionite in vitro and in vivo as pointed out by Pacella et al. (2021) who suggested that the biological effects hypothesized for the released cations (such as Mg2+ and Ca2+) may be investigated by comparing the in vitro toxicity of both pristine and modified samples after immersion in lung fluids.
5. Conclusions
This study reports the full crystal-chemical characterization of an erionite fibre from Tuzkoy (Cappadocia, Turkey). The state-of-the-art combined approach of n-SCXRD, TEM and µ-Raman techniques allowed us to determine that the erionite from Tuzkoy is not associated with offretite. These findings are relevant owing to the implication of erionite causing mesothelioma, and at regulatory levels and represent the onset for in vivo and in vitro studies to understand its toxicity. The exact determination of the extra-framework content, and more precisely K and Ca, is crucial to determine the mechanism by which it may be exchanged in extracellular and intracellular media.
Until now, most of the erionite crystal structures described in the literature were obtained from powder diffraction methods. These nanometric fibres are difficult to isolate and it is even more challenging to collect good datasets. Thanks to the new upgraded machine of the ESRF (Extra Brilliant Source) and new-generation hybrid
detectors (Eiger2 4M CdTe), it is now possible to collect reliable and complete datasets of nanometre-sized crystals that allow a very detailed structural study of complicated systems such as this fibrous zeolite.Supporting information
CCDC reference: 2256957
https://doi.org/10.1107/S2052252523003500/ti5026sup1.cif
contains datablock I. DOI:Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S2052252523003500/ti5026sup2.hkl
Supporting figures and tables. DOI: https://doi.org/10.1107/S2052252523003500/ti5026sup3.pdf
Al7.44Ca2.62K2.63Mg0.60Na0.13O100.80Si28.56 | Dx = 2.029 Mg m−3 |
Mr = 2812.59 | Synchrotron radiation, λ = 0.3257 Å |
Hexagonal, P63/mmc | Cell parameters from 3555 reflections |
a = 13.2708 (1) Å | θ = 1.2–22° |
c = 15.0958 (1) Å | µ = 0.12 mm−1 |
V = 2302.40 (4) Å3 | T = 293 K |
Z = 1 | Fibre, colourless |
F(000) = 1399.7 | 0.02 × 0.001 × 0.0003 mm |
Id11 nanoscope diffractometer | 1322 reflections with I > 2σ(I) |
Radiation source: synchrotron | Rint = 0.054 |
ω scan | θmax = 13.5°, θmin = 1.5° |
Absorption correction: multi-scan SCALE3 ABSPACK, CrysAlis (Rigaku, 2015) | h = −18→18 |
Tmin = 0.71, Tmax = 1.00 | k = −18→18 |
45831 measured reflections | l = −21→21 |
1357 independent reflections |
Refinement on F2 | 108 parameters |
Least-squares matrix: full | 39 restraints |
R[F2 > 2σ(F2)] = 0.038 | w = 1/[σ2(Fo2) + (0.064P)2 + 2.0867P] where P = (Fo2 + 2Fc2)/3 |
wR(F2) = 0.114 | (Δ/σ)max = 0.002 |
S = 1.09 | Δρmax = 1.08 e Å−3 |
1357 reflections | Δρmin = −0.46 e Å−3 |
Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes. |
x | y | z | Uiso*/Ueq | Occ. (<1) | |
Si1 | 0.23398 (4) | 0.99978 (3) | 0.10458 (3) | 0.01727 (18) | 0.860 (15) |
Si2 | 0.33174 (4) | 0.90620 (5) | 0.2500 | 0.0148 (2) | 0.66 (3) |
Al1 | 0.23398 (4) | 0.99978 (3) | 0.10458 (3) | 0.01727 (18) | 0.140 (15) |
Al2 | 0.33174 (4) | 0.90620 (5) | 0.2500 | 0.0148 (2) | 0.34 (3) |
K1 | 0.0000 | 1.0000 | 0.2500 | 0.0341 (3) | |
K2 | 0.5000 | 1.0000 | 0.0000 | 0.152 (15) | 0.105 |
Ca1 | 0.3333 | 0.6667 | 0.4016 (14) | 0.29 (2) | 0.39 (3) |
Ca2 | 0.6667 | 1.3333 | 0.4186 (13) | 0.132 (6) | 0.2059 |
Na2 | 0.6667 | 1.3333 | 0.4186 (13) | 0.132 (6) | 0.033 |
Ca3 | 0.6667 | 1.3333 | 0.2951 (12) | 0.084 (6) | 0.06 (2) |
Mg3 | 0.6667 | 1.3333 | 0.2951 (12) | 0.084 (6) | 0.15 (3) |
O1 | 0.32241 (13) | 0.97215 (14) | 0.16106 (9) | 0.0365 (3) | |
O2 | 0.09775 (9) | 0.90225 (9) | 0.12617 (13) | 0.0318 (4) | |
O3 | 0.25212 (19) | 1.12606 (9) | 0.13523 (11) | 0.0336 (4) | |
O4 | 0.26497 (18) | 1.0000 | 0.0000 | 0.0325 (4) | |
O5 | 0.23098 (12) | 0.76902 (12) | 0.2500 | 0.0361 (6) | |
O6 | 0.45857 (13) | 0.9171 (3) | 0.2500 | 0.0346 (6) | |
OW1 | 0.506 (2) | 1.2529 (10) | 0.5049 (17) | 0.36 (2) | 0.62 (4) |
OW2 | 0.513 (3) | 1.2565 (13) | 0.203 (4) | 0.123 (15) | 0.35 (6) |
OW3 | 0.837 (2) | 1.4186 (10) | 0.3759 (15) | 0.244 (16) | 0.61 (4) |
OW4 | 0.485 (5) | 1.242 (3) | 0.2500 | 0.116 (14) | 0.30 (10) |
OW5 | 0.3333 | 0.6667 | 0.2500 | 0.14 (6) | 0.12 (4) |
OW6 | 0.4487 (18) | 0.897 (4) | −0.012 (4) | 0.39 (4) | 0.50 (4) |
U11 | U22 | U33 | U12 | U13 | U23 | |
Si1 | 0.0224 (3) | 0.0174 (2) | 0.0129 (2) | 0.01061 (16) | −0.00166 (13) | 0.00090 (11) |
Si2 | 0.0135 (3) | 0.0172 (3) | 0.0157 (3) | 0.0091 (2) | 0.000 | 0.000 |
Al1 | 0.0224 (3) | 0.0174 (2) | 0.0129 (2) | 0.01061 (16) | −0.00166 (13) | 0.00090 (11) |
Al2 | 0.0135 (3) | 0.0172 (3) | 0.0157 (3) | 0.0091 (2) | 0.000 | 0.000 |
K1 | 0.0355 (5) | 0.0355 (5) | 0.0313 (7) | 0.0178 (2) | 0.000 | 0.000 |
K2 | 0.082 (11) | 0.23 (4) | 0.19 (3) | 0.12 (2) | −0.032 (14) | −0.06 (3) |
Ca1 | 0.31 (2) | 0.31 (2) | 0.25 (2) | 0.155 (12) | 0.000 | 0.000 |
Ca2 | 0.084 (5) | 0.084 (5) | 0.228 (19) | 0.042 (2) | 0.000 | 0.000 |
Na2 | 0.084 (5) | 0.084 (5) | 0.228 (19) | 0.042 (2) | 0.000 | 0.000 |
Ca3 | 0.038 (4) | 0.038 (4) | 0.176 (17) | 0.0189 (19) | 0.000 | 0.000 |
Mg3 | 0.038 (4) | 0.038 (4) | 0.176 (17) | 0.0189 (19) | 0.000 | 0.000 |
O1 | 0.0393 (7) | 0.0485 (8) | 0.0304 (6) | 0.0285 (6) | −0.0008 (6) | 0.0107 (6) |
O2 | 0.0262 (5) | 0.0262 (5) | 0.0352 (9) | 0.0071 (7) | 0.0019 (4) | −0.0019 (4) |
O3 | 0.0523 (11) | 0.0293 (6) | 0.0270 (8) | 0.0262 (6) | −0.0070 (8) | −0.0035 (4) |
O4 | 0.0421 (8) | 0.0375 (10) | 0.0164 (7) | 0.0187 (5) | −0.0002 (3) | −0.0004 (6) |
O5 | 0.0241 (8) | 0.0241 (8) | 0.0548 (17) | 0.0082 (10) | 0.000 | 0.000 |
O6 | 0.0233 (8) | 0.0439 (15) | 0.0434 (14) | 0.0220 (8) | 0.000 | 0.000 |
OW1 | 0.17 (2) | 0.47 (4) | 0.34 (4) | 0.087 (11) | 0.048 (16) | 0.024 (8) |
OW2 | 0.066 (11) | 0.138 (13) | 0.14 (3) | 0.033 (6) | −0.027 (15) | −0.014 (7) |
OW3 | 0.29 (3) | 0.223 (16) | 0.24 (3) | 0.147 (14) | 0.098 (19) | 0.049 (9) |
OW4 | 0.10 (2) | 0.16 (2) | 0.06 (3) | 0.049 (11) | 0.000 | 0.000 |
OW5 | 0.09 (5) | 0.09 (5) | 0.23 (11) | 0.04 (3) | 0.000 | 0.000 |
OW6 | 0.177 (19) | 0.47 (6) | 0.63 (8) | 0.24 (3) | −0.04 (3) | −0.09 (5) |
Si1—O4 | 1.6311 (7) | Ca2—OW1xix | 2.26 (3) |
Si1—O1 | 1.6335 (13) | Ca2—OW1xviii | 2.26 (3) |
Si1—O3 | 1.6363 (7) | Ca2—OW1 | 2.26 (3) |
Si1—O2 | 1.6462 (8) | Ca2—OW2xx | 2.54 (7) |
Si1—K1 | 3.8040 (4) | Ca2—OW2i | 2.54 (7) |
Si1—K2 | 3.8658 (4) | Ca2—OW2vii | 2.54 (7) |
Si2—O6 | 1.6154 (6) | Ca2—Ca1xiii | 2.71 (3) |
Si2—O5 | 1.6334 (9) | Ca3—Mg3i | 1.36 (4) |
Si2—O1 | 1.6409 (13) | Ca3—Ca3i | 1.36 (4) |
Si2—O1i | 1.6409 (13) | Ca3—OW2xx | 1.77 (3) |
K1—O2 | 2.9228 (19) | Ca3—OW2vii | 1.77 (3) |
K1—O2ii | 2.9228 (19) | Ca3—OW2i | 1.77 (3) |
K1—O2iii | 2.9228 (19) | Ca3—OW4 | 2.20 (6) |
K1—O2i | 2.9228 (19) | Ca3—OW4xix | 2.20 (6) |
K1—O2iv | 2.9228 (19) | Ca3—OW4xviii | 2.20 (6) |
K1—O2v | 2.9228 (19) | Ca3—OW2xviii | 2.25 (3) |
K1—O3iii | 3.376 (2) | Ca3—OW2xix | 2.25 (3) |
K1—O3i | 3.376 (2) | Ca3—OW2 | 2.25 (3) |
K1—O3ii | 3.376 (2) | O2—Al1xxi | 1.6462 (8) |
K1—O3v | 3.376 (2) | O2—Si1xxi | 1.6462 (8) |
K1—O3iv | 3.376 (2) | O3—Al1xxii | 1.6362 (7) |
K1—O3 | 3.376 (2) | O3—Si1xxii | 1.6362 (7) |
K2—OW6 | 1.19 (4) | O4—Al1x | 1.6311 (7) |
K2—OW6vi | 1.19 (4) | O4—Si1x | 1.6311 (7) |
K2—OW3vii | 2.65 (3) | O5—Al2xxi | 1.6334 (9) |
K2—OW3viii | 2.65 (3) | O5—Si2xxi | 1.6334 (9) |
K2—O4vi | 3.119 (2) | O6—Al2ix | 1.6155 (6) |
K2—O4 | 3.119 (2) | O6—Si2ix | 1.6155 (6) |
K2—O1ix | 3.2758 (14) | OW1—Ca1xiii | 2.32 (3) |
K2—O1x | 3.2758 (14) | OW1—K2xv | 3.3192 (8) |
K2—O1vi | 3.2758 (14) | OW1—K2xxiii | 3.3192 (8) |
K2—O1 | 3.2758 (14) | OW2—OW4 | 0.79 (5) |
K2—OW1i | 3.3192 (8) | OW2—OW2i | 1.43 (13) |
K2—OW1xi | 3.3192 (8) | OW2—Mg3i | 1.77 (3) |
Ca1—OW5 | 2.29 (2) | OW2—Ca3i | 1.77 (3) |
Ca1—OW1xii | 2.33 (3) | OW2—Na2i | 2.54 (7) |
Ca1—OW1xiii | 2.33 (3) | OW2—Ca2i | 2.54 (7) |
Ca1—OW1xiv | 2.33 (3) | OW3—K2xxiv | 2.65 (3) |
Ca1—Na2xiii | 2.71 (3) | OW4—OW2i | 0.79 (5) |
Ca1—Ca2xiii | 2.71 (3) | OW4—Mg3i | 2.20 (6) |
Ca1—K2xv | 4.109 (8) | OW4—Ca3i | 2.20 (6) |
Ca1—K2xvi | 4.109 (8) | OW5—Ca1i | 2.29 (2) |
Ca1—K2xvii | 4.109 (8) | OW6—Na2xi | 2.85 (4) |
Ca2—Ca3 | 1.86 (2) | OW6—Ca2xi | 2.85 (4) |
Ca2—OW3xviii | 2.06 (2) | Ca1—OW6xxv | 3.13 (5) |
Ca2—OW3xix | 2.06 (2) | Ca1—OW6i | 3.13 (5) |
Ca2—OW3 | 2.06 (2) | Ca1—OW6xxvi | 3.13 (5) |
O4—Si1—O1 | 107.27 (10) | Na2xiii—Ca1—K2xvii | 68.8 (3) |
O4—Si1—O3 | 111.34 (7) | Ca2xiii—Ca1—K2xvii | 68.8 (3) |
O1—Si1—O3 | 109.15 (9) | K2xv—Ca1—K2xvii | 107.7 (3) |
O4—Si1—O2 | 111.70 (9) | K2xvi—Ca1—K2xvii | 107.7 (3) |
O1—Si1—O2 | 110.49 (9) | Ca3—Ca2—OW3xviii | 71.8 (9) |
O3—Si1—O2 | 106.90 (10) | Ca3—Ca2—OW3xix | 71.8 (9) |
O4—Si1—K1 | 139.79 (8) | OW3xviii—Ca2—OW3xix | 110.7 (8) |
O1—Si1—K1 | 112.17 (5) | Ca3—Ca2—OW3 | 71.8 (9) |
O3—Si1—K1 | 62.49 (8) | OW3xviii—Ca2—OW3 | 110.7 (8) |
O2—Si1—K1 | 46.40 (6) | OW3xix—Ca2—OW3 | 110.7 (8) |
O4—Si1—K2 | 51.35 (8) | Ca3—Ca2—OW1xix | 125.2 (8) |
O1—Si1—K2 | 56.98 (5) | OW3xviii—Ca2—OW1xix | 78.0 (6) |
O3—Si1—K2 | 116.62 (8) | OW3xix—Ca2—OW1xix | 163.0 (14) |
O2—Si1—K2 | 136.46 (7) | OW3—Ca2—OW1xix | 78.0 (6) |
K1—Si1—K2 | 168.859 (12) | Ca3—Ca2—OW1xviii | 125.2 (8) |
O6—Si2—O5 | 109.62 (14) | OW3xviii—Ca2—OW1xviii | 163.0 (14) |
O6—Si2—O1 | 107.77 (8) | OW3xix—Ca2—OW1xviii | 78.0 (6) |
O5—Si2—O1 | 110.88 (8) | OW3—Ca2—OW1xviii | 78.0 (6) |
O6—Si2—O1i | 107.77 (8) | OW1xix—Ca2—OW1xviii | 90.1 (12) |
O5—Si2—O1i | 110.88 (8) | Ca3—Ca2—OW1 | 125.2 (9) |
O1—Si2—O1i | 109.82 (11) | OW3xviii—Ca2—OW1 | 78.0 (6) |
O2—K1—O2ii | 134.79 (3) | OW3xix—Ca2—OW1 | 78.0 (6) |
O2—K1—O2iii | 83.48 (6) | OW3—Ca2—OW1 | 163.0 (14) |
O2ii—K1—O2iii | 134.79 (3) | OW1xix—Ca2—OW1 | 90.1 (12) |
O2—K1—O2i | 79.51 (8) | OW1xviii—Ca2—OW1 | 90.1 (12) |
O2ii—K1—O2i | 83.48 (6) | Ca3—Ca2—OW2xx | 44.0 (8) |
O2iii—K1—O2i | 134.79 (3) | OW3xviii—Ca2—OW2xx | 56.3 (6) |
O2—K1—O2iv | 134.79 (3) | OW3xix—Ca2—OW2xx | 115.8 (13) |
O2ii—K1—O2iv | 83.48 (6) | OW3—Ca2—OW2xx | 56.3 (6) |
O2iii—K1—O2iv | 79.51 (8) | OW1xix—Ca2—OW2xx | 81.2 (10) |
O2i—K1—O2iv | 83.48 (6) | OW1xviii—Ca2—OW2xx | 134.3 (4) |
O2—K1—O2v | 83.48 (6) | OW1—Ca2—OW2xx | 134.3 (4) |
O2ii—K1—O2v | 79.51 (8) | Ca3—Ca2—OW2i | 44.0 (8) |
O2iii—K1—O2v | 83.48 (6) | OW3xviii—Ca2—OW2i | 56.3 (6) |
O2i—K1—O2v | 134.79 (3) | OW3xix—Ca2—OW2i | 56.3 (6) |
O2iv—K1—O2v | 134.79 (3) | OW3—Ca2—OW2i | 115.8 (13) |
O2—K1—O3iii | 48.845 (16) | OW1xix—Ca2—OW2i | 134.3 (4) |
O2ii—K1—O3iii | 171.12 (5) | OW1xviii—Ca2—OW2i | 134.3 (4) |
O2iii—K1—O3iii | 48.845 (16) | OW1—Ca2—OW2i | 81.2 (10) |
O2i—K1—O3iii | 89.90 (4) | OW2xx—Ca2—OW2i | 74.0 (12) |
O2iv—K1—O3iii | 89.90 (4) | Ca3—Ca2—OW2vii | 44.0 (8) |
O2v—K1—O3iii | 109.37 (5) | OW3xviii—Ca2—OW2vii | 115.8 (13) |
O2—K1—O3i | 89.90 (4) | OW3xix—Ca2—OW2vii | 56.3 (6) |
O2ii—K1—O3i | 48.845 (16) | OW3—Ca2—OW2vii | 56.3 (6) |
O2iii—K1—O3i | 171.12 (5) | OW1xix—Ca2—OW2vii | 134.3 (4) |
O2i—K1—O3i | 48.845 (16) | OW1xviii—Ca2—OW2vii | 81.2 (10) |
O2iv—K1—O3i | 109.37 (5) | OW1—Ca2—OW2vii | 134.3 (4) |
O2v—K1—O3i | 89.90 (4) | OW2xx—Ca2—OW2vii | 74.0 (12) |
O3iii—K1—O3i | 129.173 (17) | OW2i—Ca2—OW2vii | 74.0 (12) |
O2—K1—O3ii | 171.12 (5) | Ca3—Ca2—Ca1xiii | 180.0 |
O2ii—K1—O3ii | 48.845 (15) | OW3xviii—Ca2—Ca1xiii | 108.2 (9) |
O2iii—K1—O3ii | 89.90 (4) | OW3xix—Ca2—Ca1xiii | 108.2 (9) |
O2i—K1—O3ii | 109.37 (5) | OW3—Ca2—Ca1xiii | 108.2 (9) |
O2iv—K1—O3ii | 48.845 (15) | OW1xix—Ca2—Ca1xiii | 54.8 (8) |
O2v—K1—O3ii | 89.90 (4) | OW1xviii—Ca2—Ca1xiii | 54.8 (8) |
O3iii—K1—O3ii | 129.173 (17) | OW1—Ca2—Ca1xiii | 54.8 (8) |
O3i—K1—O3ii | 96.03 (4) | OW2xx—Ca2—Ca1xiii | 136.0 (8) |
O2—K1—O3v | 109.37 (5) | OW2i—Ca2—Ca1xiii | 136.0 (8) |
O2ii—K1—O3v | 89.90 (4) | OW2vii—Ca2—Ca1xiii | 136.0 (8) |
O2iii—K1—O3v | 48.845 (15) | Mg3i—Ca3—Ca3i | 0.0 |
O2i—K1—O3v | 171.12 (5) | Mg3i—Ca3—OW2xx | 91 (2) |
O2iv—K1—O3v | 89.90 (4) | Ca3i—Ca3—OW2xx | 91 (2) |
O2v—K1—O3v | 48.845 (15) | Mg3i—Ca3—OW2vii | 91 (2) |
O3iii—K1—O3v | 96.03 (4) | Ca3i—Ca3—OW2vii | 91 (2) |
O3i—K1—O3v | 129.173 (17) | OW2xx—Ca3—OW2vii | 120.0 (2) |
O3ii—K1—O3v | 61.75 (6) | Mg3i—Ca3—OW2i | 91 (2) |
O2—K1—O3iv | 89.90 (4) | Ca3i—Ca3—OW2i | 91 (2) |
O2ii—K1—O3iv | 109.37 (5) | OW2xx—Ca3—OW2i | 119.96 (18) |
O2iii—K1—O3iv | 89.90 (4) | OW2vii—Ca3—OW2i | 119.96 (16) |
O2i—K1—O3iv | 48.845 (15) | Mg3i—Ca3—Ca2 | 180.0 |
O2iv—K1—O3iv | 48.845 (16) | Ca3i—Ca3—Ca2 | 180.0 |
O2v—K1—O3iv | 171.12 (5) | OW2xx—Ca3—Ca2 | 89 (2) |
O3iii—K1—O3iv | 61.75 (6) | OW2vii—Ca3—Ca2 | 89 (2) |
O3i—K1—O3iv | 96.03 (4) | OW2i—Ca3—Ca2 | 89 (2) |
O3ii—K1—O3iv | 96.03 (4) | Mg3i—Ca3—OW4 | 72.0 (7) |
O3v—K1—O3iv | 129.173 (17) | Ca3i—Ca3—OW4 | 72.0 (7) |
O2—K1—O3 | 48.845 (16) | OW2xx—Ca3—OW4 | 118.8 (7) |
O2ii—K1—O3 | 89.90 (4) | OW2vii—Ca3—OW4 | 118.8 (7) |
O2iii—K1—O3 | 109.37 (5) | OW2i—Ca3—OW4 | 19 (3) |
O2i—K1—O3 | 89.90 (4) | Ca2—Ca3—OW4 | 108.0 (7) |
O2iv—K1—O3 | 171.12 (5) | Mg3i—Ca3—OW4xix | 72.0 (7) |
O2v—K1—O3 | 48.845 (16) | Ca3i—Ca3—OW4xix | 72.0 (7) |
O3iii—K1—O3 | 96.03 (4) | OW2xx—Ca3—OW4xix | 19 (3) |
O3i—K1—O3 | 61.75 (6) | OW2vii—Ca3—OW4xix | 118.8 (7) |
O3ii—K1—O3 | 129.173 (17) | OW2i—Ca3—OW4xix | 118.8 (7) |
O3v—K1—O3 | 96.03 (4) | Ca2—Ca3—OW4xix | 108.0 (7) |
O3iv—K1—O3 | 129.174 (17) | OW4—Ca3—OW4xix | 110.9 (6) |
OW6—K2—OW6vi | 180 (2) | Mg3i—Ca3—OW4xviii | 72.0 (7) |
OW6—K2—OW3vii | 144 (3) | Ca3i—Ca3—OW4xviii | 72.0 (7) |
OW6vi—K2—OW3vii | 36 (3) | OW2xx—Ca3—OW4xviii | 118.8 (7) |
OW6—K2—OW3viii | 36 (3) | OW2vii—Ca3—OW4xviii | 19 (3) |
OW6vi—K2—OW3viii | 144 (3) | OW2i—Ca3—OW4xviii | 118.8 (7) |
OW3vii—K2—OW3viii | 180.0 | Ca2—Ca3—OW4xviii | 108.0 (7) |
OW6—K2—O4vi | 90.000 (9) | OW4—Ca3—OW4xviii | 110.9 (6) |
OW6vi—K2—O4vi | 90.000 (12) | OW4xix—Ca3—OW4xviii | 110.9 (6) |
OW3vii—K2—O4vi | 90.000 (1) | Mg3i—Ca3—OW2xix | 51.7 (17) |
OW3viii—K2—O4vi | 90.000 (1) | Ca3i—Ca3—OW2xix | 51.7 (17) |
OW6—K2—O4 | 90.000 (9) | OW2xx—Ca3—OW2xix | 39 (4) |
OW6vi—K2—O4 | 90.000 (12) | OW2vii—Ca3—OW2xix | 113.9 (10) |
OW3vii—K2—O4 | 90.000 (1) | OW2i—Ca3—OW2xix | 113.9 (10) |
OW3viii—K2—O4 | 90.000 (1) | Ca2—Ca3—OW2xix | 128.3 (17) |
O4vi—K2—O4 | 180.0 | OW4—Ca3—OW2xix | 100.4 (13) |
OW6—K2—O1ix | 91 (2) | OW4xix—Ca3—OW2xix | 20.3 (14) |
OW6vi—K2—O1ix | 89 (2) | OW4xviii—Ca3—OW2xix | 100.4 (13) |
OW3vii—K2—O1ix | 62.9 (2) | Mg3i—Ca3—OW2 | 51.7 (17) |
OW3viii—K2—O1ix | 117.1 (2) | Ca3i—Ca3—OW2 | 51.7 (17) |
O4vi—K2—O1ix | 48.47 (2) | OW2xx—Ca3—OW2 | 113.9 (10) |
O4—K2—O1ix | 131.53 (2) | OW2vii—Ca3—OW2 | 113.9 (10) |
OW6—K2—O1x | 89 (2) | OW2i—Ca3—OW2 | 39 (4) |
OW6vi—K2—O1x | 91 (2) | Ca2—Ca3—OW2 | 128.3 (18) |
OW3vii—K2—O1x | 117.1 (2) | OW4—Ca3—OW2 | 20.3 (14) |
OW3viii—K2—O1x | 62.9 (2) | OW4xix—Ca3—OW2 | 100.4 (13) |
O4vi—K2—O1x | 131.53 (2) | OW4xviii—Ca3—OW2 | 100.4 (13) |
O4—K2—O1x | 48.47 (2) | OW2xix—Ca3—OW2 | 86 (3) |
O1ix—K2—O1x | 180.0 | Si1—O1—Si2 | 143.23 (10) |
OW6—K2—O1vi | 89 (2) | Si1—O1—K2 | 98.30 (6) |
OW6vi—K2—O1vi | 91 (2) | Si2—O1—K2 | 115.19 (6) |
OW3vii—K2—O1vi | 117.1 (2) | Si1—O2—Al1xxi | 140.9 |
OW3viii—K2—O1vi | 62.9 (2) | Si1—O2—Si1xxi | 140.86 (13) |
O4vi—K2—O1vi | 48.47 (2) | Al1xxi—O2—Si1xxi | 0.0 |
O4—K2—O1vi | 131.53 (2) | Si1—O2—K1 | 109.53 (6) |
O1ix—K2—O1vi | 96.94 (4) | Al1xxi—O2—K1 | 109.53 (6) |
O1x—K2—O1vi | 83.06 (4) | Si1xxi—O2—K1 | 109.53 (6) |
OW6—K2—O1 | 91 (2) | Al1xxii—O3—Si1xxii | 0.0 |
OW6vi—K2—O1 | 89 (2) | Al1xxii—O3—Si1 | 143.9 |
OW3vii—K2—O1 | 62.9 (2) | Si1xxii—O3—Si1 | 143.86 (12) |
OW3viii—K2—O1 | 117.1 (2) | Al1xxii—O3—K1 | 92.05 (8) |
O4vi—K2—O1 | 131.53 (2) | Si1xxii—O3—K1 | 92.05 (8) |
O4—K2—O1 | 48.47 (2) | Si1—O3—K1 | 92.05 (8) |
O1ix—K2—O1 | 83.06 (4) | Si1—O4—Al1x | 150.9 |
O1x—K2—O1 | 96.94 (4) | Si1—O4—Si1x | 150.91 (16) |
O1vi—K2—O1 | 180.0 | Al1x—O4—Si1x | 0.0 |
OW6—K2—OW1i | 149.6 (10) | Si1—O4—K2 | 104.55 (8) |
OW6vi—K2—OW1i | 30.4 (10) | Al1x—O4—K2 | 104.55 (8) |
OW3vii—K2—OW1i | 52.9 (5) | Si1x—O4—K2 | 104.55 (8) |
OW3viii—K2—OW1i | 127.1 (5) | Si2—O5—Al2xxi | 150.3 |
O4vi—K2—OW1i | 118.8 (4) | Si2—O5—Si2xxi | 150.3 (2) |
O4—K2—OW1i | 61.2 (4) | Al2xxi—O5—Si2xxi | 0.0 |
O1ix—K2—OW1i | 115.0 (4) | Si2—O6—Al2ix | 171.1 |
O1x—K2—OW1i | 65.0 (4) | Si2—O6—Si2ix | 171.1 (2) |
O1vi—K2—OW1i | 102.6 (5) | Al2ix—O6—Si2ix | 0.0 |
O1—K2—OW1i | 77.4 (5) | Ca2—OW1—Ca1xiii | 72.5 (10) |
OW6—K2—OW1xi | 30.4 (10) | Ca2—OW1—K2xv | 90.2 (4) |
OW6vi—K2—OW1xi | 149.6 (10) | Ca1xiii—OW1—K2xv | 91.7 (5) |
OW3vii—K2—OW1xi | 127.1 (5) | Ca2—OW1—K2xxiii | 90.2 (4) |
OW3viii—K2—OW1xi | 52.9 (5) | Ca1xiii—OW1—K2xxiii | 91.7 (5) |
O4vi—K2—OW1xi | 61.2 (4) | K2xv—OW1—K2xxiii | 176.5 (10) |
O4—K2—OW1xi | 118.8 (4) | OW4—OW2—OW2i | 24 (5) |
O1ix—K2—OW1xi | 65.0 (4) | OW4—OW2—Mg3i | 113 (7) |
O1x—K2—OW1xi | 115.0 (4) | OW2i—OW2—Mg3i | 89 (2) |
O1vi—K2—OW1xi | 77.4 (5) | OW4—OW2—Ca3i | 113 (7) |
O1—K2—OW1xi | 102.6 (5) | OW2i—OW2—Ca3i | 89 (2) |
OW1i—K2—OW1xi | 180.0 | Mg3i—OW2—Ca3i | 0.0 |
OW5—Ca1—OW1xii | 127.3 (7) | OW4—OW2—Ca3 | 76 (6) |
OW5—Ca1—OW1xiii | 127.3 (7) | OW2i—OW2—Ca3 | 51.7 (17) |
OW1xii—Ca1—OW1xiii | 87.0 (11) | Mg3i—OW2—Ca3 | 37.2 |
OW5—Ca1—OW1xiv | 127.3 (7) | Ca3i—OW2—Ca3 | 37.2 (11) |
OW1xii—Ca1—OW1xiv | 87.0 (11) | OW4—OW2—Na2i | 160 (6) |
OW1xiii—Ca1—OW1xiv | 87.0 (11) | OW2i—OW2—Na2i | 136.0 (8) |
OW5—Ca1—Na2xiii | 180.0 | Mg3i—OW2—Na2i | 47.1 (16) |
OW1xii—Ca1—Na2xiii | 52.7 (7) | Ca3i—OW2—Na2i | 47.1 (16) |
OW1xiii—Ca1—Na2xiii | 52.7 (7) | Ca3—OW2—Na2i | 84.3 (13) |
OW1xiv—Ca1—Na2xiii | 52.7 (7) | OW4—OW2—Ca2i | 160 (6) |
OW5—Ca1—Ca2xiii | 180.0 | OW2i—OW2—Ca2i | 136.0 (8) |
OW1xii—Ca1—Ca2xiii | 52.7 (7) | Mg3i—OW2—Ca2i | 47.1 (16) |
OW1xiii—Ca1—Ca2xiii | 52.7 (7) | Ca3i—OW2—Ca2i | 47.1 (16) |
OW1xiv—Ca1—Ca2xiii | 52.7 (7) | Ca3—OW2—Ca2i | 84.3 (13) |
Na2xiii—Ca1—Ca2xiii | 0.0 | Na2i—OW2—Ca2i | 0.0 |
OW5—Ca1—K2xv | 111.2 (3) | Ca2—OW3—Ca3 | 50.1 (8) |
OW1xii—Ca1—K2xv | 53.85 (15) | Ca2—OW3—K2xxiv | 116.8 (10) |
OW1xiii—Ca1—K2xv | 53.85 (15) | Ca3—OW3—K2xxiv | 166.9 (8) |
OW1xiv—Ca1—K2xv | 121.5 (9) | OW2i—OW4—OW2 | 131 (10) |
Na2xiii—Ca1—K2xv | 68.8 (3) | OW2i—OW4—Mg3i | 84 (5) |
Ca2xiii—Ca1—K2xv | 68.8 (3) | OW2—OW4—Mg3i | 48 (5) |
OW5—Ca1—K2xvi | 111.2 (3) | OW2i—OW4—Ca3i | 84 (5) |
OW1xii—Ca1—K2xvi | 53.85 (15) | OW2—OW4—Ca3i | 48 (5) |
OW1xiii—Ca1—K2xvi | 121.5 (9) | Mg3i—OW4—Ca3i | 0.0 |
OW1xiv—Ca1—K2xvi | 53.85 (15) | OW2i—OW4—Ca3 | 48 (5) |
Na2xiii—Ca1—K2xvi | 68.8 (3) | OW2—OW4—Ca3 | 84 (5) |
Ca2xiii—Ca1—K2xvi | 68.8 (3) | Mg3i—OW4—Ca3 | 36.0 |
K2xv—Ca1—K2xvi | 107.7 (3) | Ca3i—OW4—Ca3 | 36.0 (13) |
OW5—Ca1—K2xvii | 111.2 (3) | Ca1i—OW5—Ca1 | 180.0 |
OW1xii—Ca1—K2xvii | 121.5 (9) | K2—OW6—Na2xi | 167 (4) |
OW1xiii—Ca1—K2xvii | 53.85 (15) | K2—OW6—Ca2xi | 167 (4) |
OW1xiv—Ca1—K2xvii | 53.85 (15) | Na2xi—OW6—Ca2xi | 0.0 |
Symmetry codes: (i) x, y, −z+1/2; (ii) −y+1, x−y+2, −z+1/2; (iii) −x+y−1, −x+1, z; (iv) −x+y−1, −x+1, −z+1/2; (v) −y+1, x−y+2, z; (vi) −x+1, −y+2, −z; (vii) −x+y, −x+2, −z+1/2; (viii) x−y+1, x, z−1/2; (ix) −x+y, y, z; (x) x−y+1, −y+2, −z; (xi) −x+1, −y+2, z−1/2; (xii) y−1, −x+y, −z+1; (xiii) −x+1, −y+2, −z+1; (xiv) x−y+1, x, −z+1; (xv) −x+1, −y+2, z+1/2; (xvi) y−1, −x+y, z+1/2; (xvii) x−y+1, x, z+1/2; (xviii) −x+y, −x+2, z; (xix) −y+2, x−y+2, z; (xx) −y+2, x−y+2, −z+1/2; (xxi) −y+1, −x+1, z; (xxii) x, x−y+2, z; (xxiii) x−y+1, x+1, z+1/2; (xxiv) y, −x+y+1, z+1/2; (xxv) −x+y, −x+1, −z+1/2; (xxvi) −y+1, x−y+1, −z+1/2. |
Acknowledgements
The authors thanks Mauro Gemmi for the technical TEM support at IIT@NEST, Pisa.
Funding information
The work is supported by the PRIN project fund `Fibres: a multidisciplinary mineralogical, crystal-chemical and biological project to amend the paradigm of toxicity and carcinogenicity of mineral fibres' (PRIN: Progetti di Ricerca di Rilevante Interesse Nazionale – Bando 2017; project No. 20173X8WA4). The ESRF is acknowledged for the provision of beam time at beamline ID11.
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