A modeling of the structure and compressibility of quartz with a molecular potential and its transferability to cristobalite and coesite

Several computer models of quartz were developed and tested. A simple model based on a potential energy function, derived in large part from quantum mechanical calculations on the molecule H₆Si₂O₇, was found to reproduce the compressibility curve for quartz up to pressures of 8 GPa. The potential includes quadratic expressions for the SiO bond lengths, the OSiO angles and a parameter spanning the SiOSi angle together with an exponential OO repulsion term for non co-dimer O atoms. The variations in the cell edges and in the SiOSi angle, as a function of pressure, parallel observed trends when the bond lengths and angles calculated for the molecule are used as rgressor values. Poisson ratios calculated using the model match those observed. Two configurations for quartz related by the Dauphiné twin law are generated as minimum energy structures of the model with about equal frequencies as observed in nature. It is shown that the model, devised for quartz, can also be applied to the silica polymorph cristobalite, giving reasonable estimates of its compressibility curve, structural parameters and its negative Poisson ratio. When the observed bond lengths and angles are used as regressor values, the model generates the absolute coordinates of the atoms and the cell dimensions for quartz to within 0.005 Å and those of cristobalite to within 0.001 Å, on average, both at zero pressure. When applied to coesite, the model yields a zero pressure structure that is close to that observed but which is significantly softer than observed. The resulting SiO bond lengths are linearly correlated with f _s (O), as observed for coesite, despite the use of a single bond length and a single SiOSi angle as regressor values in the calculation. When the structures are optimized assuming P1 space group symmetry and triclinic cell dimensions, the resulting frameworks of silicate tetrahedra exhibit the translational, rotational and reflection symmetries observed for quartz, cristobalite and coesite. The fact that the resulting frameworks exhibit observed space group symmetries is evidence that the symmetry adopted by the silica polymorphs can be explained by short ranged forces.     

Periodic Hartree-Fock study of minerals: Tetracoordinated silica polymorphs

Periodic Hartree-Fock STO-3G calculations have been performed on several tetracoordinated silica polymorphs: low and high quartz, low and idealized high cristobalite and prototype tridymite. The optimized structural parameters are in overall good agreement with experimental data. In the particular case of -quartz, the SiO₄ tetrahedra are found to be irregular. The optimized values of the two different SiO bond lengths are respectively 1.608 Å and 1.613 Å. The potential energy versus tilt angle curves suggest a picture of the high temperature phases in terms of delocalized oxygen atoms which is consistent with a disordered structure. Finally, the bonding in silica polymorphs is discussed from electron density maps and Mulliken population analysis.     

Die Kristallstruktur des Ferrinatrits,Na3Fe[SO4]3 · 3H2O

Zusammenfassung Die Kristallstruktur des Ferrinatrits, Na₃Fe[SO₄]₃·3H₂O, Raumgruppe ,a _o=15,560 Å,c _o=8,666 Å,Z=6, wurde mittels der mit einem Zweikreis-Diffrak tometer gemessenen Röntgen-Intensitäten bestimmt und für 1591 symmetrieunabhängigeF _obs aufR=0,047 verfeinert. In Ferrinatrit sind FeO₆-Oktaeder und Sulfattetraeder über gemeinsame Ecken zu Ketten verknüpft. Diese Ketten verlaufen parallelz und sind untereinander über Natriumionen und Wassermoleküle verbunden. Die Mittelwerte der wichtigsten Bindun gslängen betrgen: Fe–O=1,997 Å, S–O=1,474 Å, Na–(4×O+2×Ow)=2,49 Å.

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The crystal structure of ferrinatrite, Na₃Fe[SO₄]₃ · 3H₂O

Summary The crystal structure of ferrinatrite, Na₃Fe[SO₄]₃·3H₂O, space group ,a ₀=15.560 Å,c ₀=8.666 Å,Z=6, was determined from X-ray intensities measured on a 2-circle diffractometer and was refined using 1591 independentF _obs toR=0.047. FeO₆ Octahedra and sulfate tetrahedra share common corners to from infinite chains which run parallel toz and are linked by sodium ions and water molecules. Important average bond lengths are: Fe–O=1.997 Å, S–O=1.474Å, Na-(4×0+2×Ow)=2.49 Å.

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Herrn Prof. DDr.H. Wieseneder zum 70. Geburtstag gewidmet.     

Fe,Ti ordering and octahedral distortions in acentric neptunite: Temperature dependent X-ray and neutron structure refinements and Mössbauer spectroscopy

Single-crystal X-ray and neutron structure refinements carried out on neptunite (KNa₂Li(Fe, Mg, Mn)₂Ti₂Si₈O₂₄) from San Benito, California at various temperatures (neutrons: 15 K and 293 K; X-rays: 110 K, 293 K and 493 K) indicate that this mineral crystallizes in the acentric space group Cc (T=293K: a=16.427 Å, b=12.478 Å, c=9.975 Å, = 115.56°, Z=4, V=1844.53 ų) due to ordering of octahedrally coordinated metals (Ti, Fe, Mn, Mg). In the neptunite structure, Ti and (Fe, Mn, Mg) octahedra share edges to form chains that run along [110] and [110]. These chains are, in turn, linked through shared corners along [001]. The resulting octahedral framework is interwoven by a similar [Si₈O₂₂] tetrahedral framework. Li, Na and K occupy 6-, 8- and 10- coordinated sites within the framework. The metal-containing polyhedra show strong distortions at all temperatures. In particular, Ti exhibits a strong off-center displacement (0.25 Å) within its octahedron, leading to four Ti-O distances of 2.0 Å, one of 2.2 Å and one of 1.7 Å. The displaced Ti position is in good agreement with a position that minimizes differences between ionic bond strengths and is interpreted as an energy minimum in an ionic potential model. Mössbauer spectra collected at 77 K, 293 K and 400 K indicate all Fe to be present as octahedral Fe²⁺. Although two distinct Fe positions were found in the structure, 77 K and 293 K spectra display only one quadrupole doublet. Two Fe sites can only be resolved in the 400 K spectrum. It is suggested that the temperature dependence of octahedral edge distortions is responsible for the separation of the Mössbauer doublets.     

Schultenit,PbHAsO4, und PbHPO4: Synthesen und Kristallstrukturen nebst einer Diskussion zur Symmetrie

Zusammenfassung Schultenit, PbHAsO₄ [a=4,859(1) Å,b=6,756(1) Å,c=5,843(1) Å, =95,40(1)°] und PbHPO₄ [a=4,6838(3) Å,b=6,6451(2) Å,c=5,7817(3) Å, =97,138(4)°] sind isotyp und kristallisieren monoklin. Für beide Verbindungen war bei einer Temperatur vonT _c312 K der Übergang von RaumgruppeP _c nachP2/c bekannt. Der Strukturtyp von Schultenit ist durch das Vorliegen einer kurzen Wasserstoffbrückenbindung zwischen zwei in RaumgruppeP2/c über ein Symmetriezentrum ineinander überführbarer XO₄-Tetraeder charakterisiert. Die O–H...O-Bindungslänge beträgt in beiden Verbindungen übereinstimmend 2,46 Å. Mit Hilfe von Röntgen-Einkristallstrukturuntersuchungen konnte gezeigt werden, daß dieser Übergang vonPc nachP2/c offensichtlich nur auf einer Ordnung des H-Atoms beruht, während alle anderen Atome auch bei Zimmertemperatur innerhalb des Fehlers eine zentrosymmetrische Atomanordnung aufweisen.

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Schultenite, PbHAsO₄, and PbHOP₄: Syntheses and crystal structures with a discussion on their symmetry

Summary Schultenite PbHAsO₄ [a=4.859(1) Å,b=6.756(1) Å,c=5,843(1) Å, =95.40(1)°] and PbHPO₄ [a=4,6838(3) Å,b=6,6451(2) Å,c=5.7817(3) Å =97.138(4)°] are isotypic and crystallize monoclinic. For both compounds a transition from space groupPc toP2/c has been described atT _c312 K. The structure type of schultenite is characterized, by a short hydrogen bond between two XO₄ tetrahedra which are combined by a center of symmetry in space groupP2/c. The O–H...O bond length is for both these compounds 2.46 Å. Based on X-ray single crystal structure refinements it has been shown, that the transition fromPc toP2/c is obviously caused only by an ordering of the H atom; all the other atoms are also at room temperature centrosymmetrically arranged within limits of error.

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Hern Prof.Dr.K.Komarek zum 60.Geburtstag gewidmet

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A re-appraisal of the chemical formula of nealite,Pb4Fe(AsO3)2Cl4 . 2H2O,on the basis of a crystal structure determination

Summary A crystal structure determination of the mineral nealite, Pb₄Fe(AsO₃)₂Cl₄ . 2H₂O, (a = 6.548(4), b = 10.243(8), c = 5.587(3) [Å]; = 96.2(1), = 89.6(1), = 97.7(1) [°]; Z = 1; space group ) was performed using single crystal X-ray data and a direct method strategy; the structural parameters were fitted by least squares techniques. The structure is characterized by isolated FeO₂Cl₂(H₂O)₂ octahedra (Fe-O: 2.08 Å, 2x, and 2.12 Å, 2x, Fe-Cl: 2.60 Å, 2x) and AsO₃ pyramids (As-O from 1.79 to 1.89 Å) which are connected by PbO₄Cl₄ and PbO₅Cl₄ polyhedra to a framework (with Pb-O distances from 2.22 to 3.34 Å, Pb-Cl distances from 3.10 to 3.54 Å). Oscillation photographs, exposed for 20 h, show very faint streaks indicating a doubling of c, probably caused by a partial ordering of a split lead atom position. Nealite is the first mineral found to contain a divalent iron atom coordinated to oxygen and chlorine atoms simultaneously.

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Änderung der chemischen Formel des Nealits, Pb₄Fe(AsO₃)₂Cl₄ . 2H₂O, basierend auf der Kristallstrukturbestimmung

Zusammenfassung Die Kristallstrukturbestimmung des Minerals Nealit, Pb₄Fe(AsO₃)₂Cl₄ . 2H₂O, a = 6.548(4), b = 10.243(8), c = 5.587(3) [Å]; = 96.2(1), = 89.6(1), = 97.7(1) [°]; Z = 1; Raumgruppe ) wurde anhand von röntgenographischen Einkristalldaten mit direkten Methoden durchgeführt und die Strukturparameter nach der Methode der kleinsten Quadrate verfeinert. Die Kristallstruktur ist charakterisiert durch isolierte FeO₂Cl₂(H₂O)₂-Oktaeder (Fe-O: 2.08 Å, 2x, und 2.12 Å, 2x, Fe-Cl: 2.60 Å, 2x) und AsO₃-Pyramiden (As-O von 1.79 Å bis 1.89 Å), welche durch PbO₄Cl₄ und PbO₅Cl₄-Polyeder zu einem Gerüst verknüpft sind (Pb-O von 2.22 bis 3.34 Å und Pb-Cl von 3.10 bis 3.54 Å). Schwenkaufnahmen, etwa 20 h belichtet, zeigen sehr feine Schwärzungsstreifen, die auf eine Verdopplung von c hinweisen, möglicherweise durch eine teilweise Ordnung einer aufgespaltenen Position eines Bleiatoms hervorgerufen. Nealit ist das erste Mineral, in dem ein zweiwertiges Eisenatom gleichzeitig an Sauerstoff- und Chloratome gebunden ist.

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Dedicated to Prof. Dr. Josef Zemann (Vienna) on the occasion of his 70^th birthday

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Estimation of the depth of origin of basic magmas: A modified thermodynamic approach and a comparison with experimental melting studies

Thermodynamic calculations, modified after Nicholls et al. (1971), which relate the activity of silica in a lava to the temperature and pressure conditions at which the lava could be in equilibrium with a mantle mineral assemblage, have been extended to H₂O-bearing magmas by using published experimental data to derive the dependence of on the weight fraction of H₂O dissolved in a magma. A petrogenetic grid has been calculated which gives the P-T conditions under which a magma with a given at its liquidus at 1 atm could equilibrate with a mantle mineral assemblage containing olivine (ol) and orthopyroxene (opx) for different amounts of H₂O in the magma at its source. This grid is in good agreement with the results of experimental studies as summarized by Green (1971) and Brey and Green (1975). The results show that the pressure at which a given magma composition can equilibrate with ol + opx increases for increasing amounts of H₂O dissolved in the magma at depth.In addition, experimental data have been used to calculate the effect of olivine crystallization and removal on the in the residual liquid to assess the effect of low-pressure differentiation on . The results show that if 20 % olivine is added to a basalt magma, its calculated pressure of equilibration with ol+opx increases by 4–5 kbar for a given temperature. The calculated effects of olivine removal and H₂O addition on are reasonably consistent with the silicate mixing model of Burnham (1975).Thermodynamic calculations of this type may be useful for assessing the internal consistency of certain experimental data, and in extrapolating the results to other magma compositions. The application of these calculations to determining the possible depth of origin of natural lavas appears to be limited primarily by the difficulty in determining in a lava at its liquidus temperature.     

The crystal structures of CuSO4 · H2O and CuSeO4 · H2O,and their relationships to kieserite

Summary The crystal structures of hydrothermally grown CuSO₄ · H₂O and CuSeO₄ · H₂O were determined by single crystal X-ray methods [Space group ,a = 5.037 (1), 5.129 (1) Å,b = 5.170(1), 5.527(1)Å,c = 7.578(2), 7.469(2)Å, = 108.62(1), 103.98(1)°, = 108.39(1), 106.52(1)°, = 90.93(1), 97.19(1)°; Z = 2; R_w = 0.026, 0.030 for 2065, 2235 reflections with sin / 0.90 Å^–1]. The Cu atoms are [4 + 2]-coordinated to O atoms. These elongated octahedra are corner connected via the H₂O molecule to form chains. The formal units ¹ [Cu₂O₈(H₂O)2]^12- are interconnected by [XO₄]^2- groups (X=S,Se) and hydrogen bonds (bond lengths 2.72–2.83 Å). The crystal structures show pseudomonoclinic symmetry and are strongly related to the structure type of kieserite.[/p]

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Die Kristallstrukturen von CuSO₄ · H₂O und CuSeO₄ · H₂O und ihre Beziehungen zum Kieserit

Zusammenfassung Die Kristallstrukturen von hydrothermal gezüchtetem CUSO₄ · H₂O und CuSeO₄. H₂O wurden an Einkristallen mittels Röntgenbeugung bestimmt [Raumgruppe ;a = 5.037(1), 5.129(1)Å,b = 5.170(1), 5.527(1)Å,c = 7.578(2), 7.469 (2) Å, = 108.62(1), 103.98(1)°, = 108.39(1), 106.52(1)°, = 90.93(1), 97.19(1)°; Z = 2; R_W = 0.026, 0.030 für 2065, 2235 Reflexe mit sin / 0.90)Å^–1]. Die Cu-Atome werden durch O-Atome [4+2]-koordiniert. Diese gestreckten /lOktaeder sind miteinander über Ecken durch die H₂O-Moleküle zu Ketten verknüpft. Die formalen Einheiten ¹ [CU₂O₈(H₂O)₂]^12– werden durch [XO₄]^2–-Gruppen (X = S, Se) und Wasserstoffbrücken (Bindungslängen 2.72–2.83Å) miteinander verbunden. Die Kristallstrukturen zeigen pseudomonokline Symmetrie und sind sehr nahe mit dem Strukturtyp des Kieserits verwandt.

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Die Verbindung Cu2FeSnSe3,8 im Vergleich zum Zinnkies

Zusammenfassung Die Phase Cu₂FeSnSe_3,8 ist tetragonal, Raumgruppe mit ₀=5.69 undc ₀=11,26 Å.Z=2,D _x=5,441. Synthesetemperatur: 410°C.

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The compound Cu₂FeSnSe_3,8 in comparison to stannite

Summary The phase Cu₂FeSnSe_3,8 is tetragonal, space-group with ₀=5.69 andc ₀=11.26 Å.Z=2,D _x=5.441. Temperature of synthesis: 410°C.

     

Ab initio calculated geometries and charge distributions for H4SiO4 and H6Si2O7 compared with experimental values for silicates and siloxanes

Ab initio STO-3G molecular orbital theory has been used to calculate energy-optimized Si-O bond lengths and angles for molecular orthosilicic and pyrosilicic acids. The resulting bond length for orthosilicic acid and the nonbridging bonds for pyrosilicic acid compare well with Si-OH bonds observed for a number of hydrated silicate minerals. Minimum energy Si-O bond lengths to the bridging oxygen of the pyrosilicic molecule show a close correspondence with bridging bond length data observed for the silica polymorphs and for gas phase and molecular crystal siloxanes when plotted against the SiOSi angle. In addition, the calculations show that the mean Si-O bond length of a silicate tetrahedron increases slightly as the SiOSi angle narrows. The close correspondence between the Si-O bond length and angle variations calculated for pyrosilicic acid and those observed for the silica polymorphs and siloxanes substantiates the suggestion that local bonding forces in solids are not very different from those in molecules and clusters consisting of the same atoms with the same coordination numbers. An extended basis calculation for H₄SiO₄ implies that there are about 0.6 electrons in the 3d-orbitals on Si. An analysis of bond overlap populations obtained from STO-3G* calculations for H₆Si₂O₇ indicates that Si-O bond length and SiOSi angle correlations may be ascribed to changes in the hybridization state of the bridging oxygen and (d – p) π-bonding involving all five of the 3d AO's of Si and the lone-pair AO's of the oxygen. Theoretical density difference maps calculated for H₆Si₂O₇ show a build-up of charge density between Si and O, with the peak-height charge densities of the nonbridging bonds exceeding those of the bridging bonds by about 0.05 e Å^?3. In addition, atomic charges (+1.3 and ?0.65) calculated for Si and O in a SiO₂ moiety of the low quartz structure conform reasonably well with the electroneutrality postulate and with experimental charges obtained from monopole and radial refinements of diffraction data recorded for low quartz and coesite.     

Über p-Veatehit,eine neue Veatehit-Varietät aus dem Zechsteinsalz

Zusammenfassung Im Älteren Steinsalz von Reyershausen bei Göttingen wurde eine neue Veatchit-Varietät gefunden mita ₀ = 6,721 Å,b ₀ = 20,81 Å,c ₀ = 6,64₇ Å, = 119° 4; Raumgruppe oderP2₁,Z = 4[(Sr, Ca) O · 3 B₂O₃ · 2 H₂O]. (010) ist die Ebene der vollkommenen Spalt-barkeit. Die Polymorphie der Veatehit-Minerale wird geometrisch durch geringfügige Deformationen der rhombischen Raumgruppe (bzw.A2₁ a m) erklärt.Der neue Vertreter wirdp-Veatehit (mit einfach-primitivem Raumgitter) genannt im Unterschied zum Original-Veatehit, der in die Raumgruppe gehört und dessen Symametrieebene senkrecht auf der vollkommenen Spaltebene steht.     

Space group and hydrogen sites of δ-AlOOH and implications for a hypothetical high-pressure form of Mg(OH)<Subscript>2</Subscript>

The space group and hydrogen positions of -(Al_0.84Mg_0.07Si_0.09)OOH are investigated using a single crystal synthesized using a multi-anvil apparatus under conditions of 1000 °C and 21 GPa. The space group determined by single-crystal X-ray diffraction is to Pnn2, with unit-cell parameters of a=4.6975(8) Å, b= 4.2060(6) Å, c=2.8327(4) Å, and V=55.97(1) ų. Partial occupancy of the Al site by Mg and Si suggests the possibility of a limited solid solution between -AlOOH, stishovite, and a hypothetical CaCl₂-type Mg(OH)₂ that is 16% denser than brucite. Difference-Fourier maps reveal two small but significant Fourier peaks attributable to hydrogen atoms. Atomic distances and angles around the first peak indicate a hydrogen bond with O···O distances of 2.511 Å, while those around the second peak are suggestive of a bifurcated hydrogen bond with O···O distances of 2.743 and 2.743 Å.     

Crystal structure of KMn3+ [SeO4]2 — a triclinic distorted member of the Yavapaiite family

Summary The crystal structure of synthetic KMn[SeO₄]₂ was determined by single crystal X-ray diffraction methods in space group , a = 4.827(2) Å, b = 4.988(2) Å, c = 7.981(3) Å, = 83.18(1)°, = 85.32(2)°, = 67.92(1)°, V = 176.66 ų, Z = 1; 1564 unique data, measured up to 2 = 70° (MoK-radiation); R, R(I)_w = 0.034, 0.074.KMn[SeO₄]₂ is closely related to monoclinic yavapaiite, KFe[SO₄]₂, and isotypic compounds. Jahn-Teller distorted MnO₆ octahedra are alternately linked with KO₁₀ polyhedra along [001]. The mean values of the Mn-O and Se-O distances are 2.007 Å and 1.637 Å, respectively.

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Die Kristallstruktur vonKMn ³⁺[SeO₄]-einem triklin verzerrten Vertreter der Yavapaiite-Familie

Zusammenfassung Die Kristallstruktur von synthetisch dargestelltem KMn[SeO₄]₂ wurde mittels Einkristallröntgenmethoden in der Raumgruppe bestimmt: a = 4.827(2) Å, b = 4.988(2) Å, c = 7.981(3) Å, = 83.18(1)°, = 85.32(2)°, = 67.92(1)°, V = 176.66 ų, Z = 1; 1564 unabhängige Daten bis 2 = 70° (MoK-Strahlung); R, R(I)_w = 0.034, 0.074.KMn[SeO₄]₂ ist eng mit dem monoklinen Mineral Yavapaiit, KFe[SO₄]₂ und einer Reihe damit isotyper Verbindungen verwandt. Jahn-Teller verzerrte MnO₆ Oktaeder sind alternierend mit KO₁₀ Polyedern parallel [001] verbunden. Die Mittelwerte der Mn-O und Se-O Abstände sind 2.007 Å bzw. 1.637 Å.

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Meixnerit,Mg6Al2(OH)18·4H2O,ein neues Magnesium-Aluminium-Hydroxid-Mineral

Zusammenfassung Meixnerit, Mg₆Al₂(OH)₁₈·4H₂O, kommt als sekundäres Mineral in Klüften eines Serpentins in der Nähe von Ybbs-Persenbeug (Niederösterreich) vor. Die Kristalle sind blättchenförmig, farblos durchsichtig, optisch ein-achsig-negativ mitn ₀=1,517. Die Spaltbarkeit parallel (00.1) ist perfekt. Meixnerit ist trigonal-rhomboedrisch, RaumgruppeR m,a=3,0463 (15) Å,c=22,93 (2) Å,Z=3/8. Strukturell ist er eng mit dem Hydrotalkit verwandt. Das neue Mineral wurde zu Ehren von Herrn Prof. Dr.H. Meixner, Salzburg, benannt.

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Meixnerite, Mg₆Al₂(OH)₁₈·4H₂O, a new magnesium-aluminum-hydroxide mineral

Summary Meixnerite, Mg₆Al₂(OH)₁₈·4H₂O, occurs as a secondary mineral in cracks of a serpentine rock near Ybbs-Persenbeug (Lower Austria). The crystals are tabular, colorless transparent, optically uni-axial negative withn ₀=1.517, cleavage parallel (00.1) perfect. Meixnerite is trigonal rhombohedral, space groupR m,a=3.0463 (15) Å,c=22.93 (2) Å,Z=3/8. It is structurally related to hydrotalcite. The new mineral is named in honour of Prof. Dr.H. Meixner, Salzburg.

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Calculation of the 29Si NMR shielding tensor in forsterite

²⁹Si NMR studies on synthetic single crystal forsterite have shown an isotropic NMR shift of –63.2 ppm relative to tetramethyl silane and shift tensor components of –24.4, –7.9 and +32.2 ppm relative to this isotropic value. The most shielded component (+32.2 ppm) lies close to the Si-O₁ vector, where Si-O₁ is the shortest bond, R(Si-O₁)=1.614Å (Weiden and Rager, Z. Naturforsch 40a, 126 (1985)). Ab initio self consistent field molecular orbital calculations using the Random Phase Approximation Localized-Orbital Local-Origin (RPA LORG) method and a polarized split valence basis set yield shift tensor components of –28.9, +2.3 and +26.6 ppm relative to the isotropic value, with the most shielded component 17.6° from the Si-O₁ axis. This good agreement is obtained for a SiO ₄ ^4– cluster with forsterite local geometry stabilized by four +1 point charges, PC, with the 相似文献   

Der Strukturtyp von Emmonsit, {Fe2[TeO3]3·H2O}·xH2O (x=0−1)

Zusammenfassung Emmonsit kristallisiert triklin, RaumgruppeP , Gitterkonstanten:a ₀=7,90 Å,b ₀=8,00 Å,c ₀=7,62 Å, =96^o44, =95^o 0, =84^o 28,Z=2. Der Strukturtyp wurde aus 3-dimensionalen photographischen Röntgendaten ermittelt. Die Eisenatome werden je von 6 Sauerstoffen verzerrt oktaedrisch koordiniert. Jedes Telluratom wird von 3 Sauerstoffen in einem Abstand <2,0 Å umgeben. Ein vierter Sauerstoff hat bezüglich dieser drei einen um etwa 25–35% größeren Abstand, so daß jedes Telluratom im weiteren Sinne eine (3+1)-Koordination aufweist.

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The structure type of emmonsite, {Fe₂[TeO₃]₃·H₂O}·xxH₂O (x=0–1)

Summary Emmonsite is triclinic with space groupP , and lattice constantsa ₀=7.90 Å,b ₀=8.00 Å,c ₀=7.62 Å, =96^o 44, =95^o 0, =84⁰ 28,Z=2. The structure type is derived from 3-dimensional photographic X-ray data. The iron atoms are coordinated by six oxygens in the form of a distorted octahedron. Each tellurium atom is coordinated to 3 oxygens at a distance <2.0 Å. Compared with these 3 Te–O distance the distance of a fourth oxygen is only 25 to 35% greater; therefore each tellurium atom has a (3+1)-coordination of oxygens.

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Nickenichite,a new arsenate from the Eifel,Germany

Summary Nickenichite is a new mineral found close to the village of Nickenich at the Nickenicher Sattel, Eifel, Germany. The chemical composition is Na_xCa_yCu_z(Mg, Fe, Al)₃(AsO₄)3, x 0.8, y 0.4, 0.4 and was derived by means of electron microprobe analyses and by a crystal structure investigation. The latter was determined from single-crystal X-ray data:a = 11.882(4)Å,b = 12.760(4)Å,c = 6.647(2)Å, = 112.81(2)°, space group C2/c,Z = 4;R = 0.053 andR _w = 0.033 from 984 observed data and 102 free variables. Nickenichite is structurally related to the minerals o'danielite and johillerite. The two crystallographically different octahedrally coordinated cation positionsMe = (Mg, Fe, Al) have averageMe-O distances of 2.108 Å and 2.056 Å, octahedra share edges to form zig-zag chains in ; the chains are interconnected by AsO₄ tetrahedra. In addition the compound is characterized by partially occupied Na^[4+4], Ca^[6+2] and Cu^[4] positions.

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Nickenichit, ein neues Arsenat aus der Eifel, Deutschland

Zusammenfassung Nickenichit ist ein neues Mineral, das nahe dem Ort Nickenich, am Nickenicher Sattel, Eifel, Deutschland, gefunden wurde. Die chemische Formel ist Na_xCa_yCu_z, (Mg, Fe, Al)₃(AsO₄)₃, x 0,8, y 0,4, z 0,4 und wurde mittels Elektronenstrahl-Mikrosondenanalysen und einer Kristallstrukturuntersuchung ermittelt. Letztere wurde mit Einkristall-Röntgendaten durchgeführt:a = 11,882(4) Å,b = 12,760(4) Å,c = 6,647(2) Å, = 112,81(2)°, Raumgruppe C2/c,Z = 4;R = 0,053 undR _w = 0,033 für 984 beobachtete Daten und 102 freie Variable. Nickenichit zeigt enge strukturelle Beziehungen zu den Mineralen O'Danielit und Johillerit. Die zwei kristallographisch verschiedenen oktaedrisch koordinierten KationpositionenMe = (Mg, Fe, Al) haben mittlereMe-O-Abstände von 2,108 Å und 2,056 Å, die Oktaeder werden über Kanten zu zick-zack-artigen Ketten in verknüpft, diese werden untereinander über AsO₄-Tetraeder vernetzt. Des weiteren ist die Verbindung durch partiell besetzte Na^[4+4]-, Ca^[6+2]- und Cu^[4]-Positionen charakterisiert.

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Electron density distribution and bond critical point properties for forsterite, Mg2 SiO4, determined with synchrotron single crystal X-ray diffraction data

A generalized X-ray scattering factor model experimental electron density distribution has been generated for the orthosilicate forsterite, using an essentially extinction and absorption free set of single crystal diffraction data recorded with intense, high energy synchrotron X-ray radiation (E=100.6 keV). A refinement of the model converged with an R(F)=0.0061. An evaluation of the bond critical point, bcp, properties of the distribution at the (3, –1) stationary points for the SiO and MgO bonded interactions, yielded values that agree typically within ~5%, on average, with theoretical values generated with quantum chemical computational strategies, using relatively robust basis sets. On the basis of this result, the modeling of the experimental distribution is considered to be adequate. As the bcp properties increase in magnitude, the MgO and SiO bonds decrease in length as calculated for a number of rock forming silicates. As asserted by Coppens (X-ray charge densities and chemical bonding. Oxford University Press, Oxford, 1997), large negative ²(r_c) values, characteristic of shared interactions involving first row atoms, may not be characteristic of closed shell covalent bonded interactions involving second row Si, P and S atoms bonded to O. This study adds new evidence to the overall relatively good agreement between theoretical bcp properties generated with computational quantum strategies, on the one hand, and experimental properties generated with single crystal high energy synchrotron diffraction data on the other. The similarity of results not only provides a basis for using computational strategies for studying and modeling structures, defects and the reactivity of representative structures, but it also provides a basis for improving our understanding of the crystal chemistry of earth materials and the character of the SiO bonded interaction.     

The crystal structure of Ca7Mg9(Ca,Mg)2(PO4)12

Summary The unit cell of Ca₇Mg₉(Ca,Mg)₂(PO₄)₁₂ isa=22.841(3) Å,b=9.994(1) Å,c=17.088(5) Å and =99.63(3)° at 24° C. The space-group is C2/c with four formula weights per cell. The crystal structure has been determined from 6330 X-ray reflections measured from a single crystal by a counter method and has been refined toR _w =0.044,R=0.046 (based on 4227 observed reflections and 322 of the unobserved reflections). One cation site may be occupied by Ca or Mg and gives rise to variability in composition as is reflected in the formula give above. In the sample studied, Ca and Mg occupy the site approximately equally. The direction in the unit cell is pseudo-hexagonal. The structure of Ca₇Mg₉(Ca,Mg)₂(PO₄)₁₂ is related to that of K₃Na(SO₄)₂ in that along it has columns of cations and columns of cations and anions. These columns are arranged in a K₃Na(SO₄)₂-type pseudo-cell. In the cation-anion columns, every other cation site in K₃Na(SO₄)₂ is vacant in Ca₇Mg₉(Ca,Mg)₂(PO₄)₁₂.

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Die Kristallstruktur von Ca₇Mg₉(Ca,Mg)₂(PO₄)₁₂

Zusammenfassung Die Gitterkonstanten von Ca₇Mg₉(Ca,Mg)₂(PO₄)₁₂ sind (bei 24° C)a=22,841(3) Å,b=9,994(1) Å,c=17,088(5) Å und =99,63(3)°; Raumgruppe: C2/c;Z=4. Die Kristallstruktur wurde aus 6330 Röntgendiffraktometer-Einkristalldaten bestimmt und (auf der Basis von 4227 beobachteten und 322 nicht-beobachteten Reflexen) aufR _w =0,044 undR=0,046 verfeinert. Eine Kationenlage kann von Ca oder Mg besetzt werden, was eine Variabilität der Zusammensetzung ergibt, wie sie obige Formel ausdrückt. In der untersuchten Probe besetzen Ca und Mg diese Punktlage etwa zu gleichen Teilen. Die -Richtung der Elementarzelle ist pseudo-hexagonal. Die Struktur von Ca₇Mg₉(Ca,Mg)₂(PO₄)₁₂ ist zu der von K₃Na(SO₄)₂ darin verwandt, daß sie längs Säulen von Kationen und Säulen von Anionen hat. Diese Säulen sind in einer Pseudozelle vom K₃Na(SO₄)₂-Typ angeordnet. In den Kation-Anion-Säulen ist jede zweite Kationen-Lage des K₃Na(SO₄)₂ in Ca₇Mg₉(Ca,Mg)₂(PO₄)₁₂ unbesetzt.

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With 6 Figures