Magnesium diiodide,MgI2

Single crystals of magnesium diiodide have been grown and the structure solved for the first time from single‐crystal X‐ray diffraction data. This study confirms that MgI₂ is isostructural with CdI₂ (C6 or 2H structure type). The space group is with the Mg atom on a site with 3m symmetry (Wyckoff site 1a) and the I atom on a site with m symmetry (Wyckoff site 2d). Trends in the 2H structures of dihalides are discussed briefly.     

Hexafluoro­iodium(VII) hexa­fluoro­arsenate

The structure of hexa­fluoro­iodium(VII) hexa­fluoro­arsenate, IF₆AsF₆, has been determined by X‐ray diffraction using a single crystal grown from a saturated solution in anhydrous HF. IF₆AsF₆ crystallizes in the cubic space group Pa with a simple NaCl‐like ionic packing. The I and As atoms occupy the 4a and 4b Wyckoff positions, respectively, with symmetry.     

Die Zahl der Substitutions‐ und Leerstellenvarianten des NaCl‐Typs bei verdoppelter Elementarzelle (a,b, 2c)

The Number of Substitution and Vacancy Derivatives of the NaCl Type with Doubled Unit Cell (a, b, 2c) All space groups have been deduced that can occur when a fraction of the atoms of the NaCl type is substituted or removed and the unit cell is doubled to a , b , 2 c . This was done with the aid of a Bärnighausen family tree of crystallographic group‐subgroup relations. The number of different possible structure types has been calculated for each space group. The number of possibilities increases considerably with decreasing space group symmetry and with increasing number of symmetry‐independet cation and anion positions. Comparison with known structures reveals the predominant importance of the symmetry principle in crystal chemistry. Especially those structures are favored which have the fewest numbers of inequivalent positions for atoms of one kind. These include anatase, α‐LiFeO₂, SnF₄, SrSnP, BaNiSn₃, BaCl(OH)(OH₂), GdCoC, KNb₄O₆, and La_xNb₂O₆; if some distortion is tolerated, ThCr₂Si₂, LaNiB₂C and LiNCN may also be included. There still exist structural possibilities with high symmetry, albeit no known representative. For compounds like PdAg₂O₂ or PdHgO₂ likely structures are predicted.     

Die Kristallpackung von (PPh4)2[NiCl4] · 2 MeCN und PPh4[CoCl0,6Br2,4(NCMe)]

The Crystal Packings of (PPh₄)₂[NiCl₄] · 2 MeCN and PPh₄[CoCl_0.6Br_2.4(NCMe)] (PPh₄)₂[NiCl₄] · 2 MeCN was obtained from the reaction of PPh₄Cl and NiCl₂ in acetonitrile in the presence of S₂Cl₂, PPh₄[Cl₂H] being a side product. The product of the reaction of CoS₂ with S₂Br₂ (containing rests of S₂Cl₂) at 400 °C was treated with PPh₄Br in acetonitrile yielding PPh₄Br₃ and PPh₄[CoCl_0.6Br_2.4(NCMe)]. The crystal structures of the title compounds were determined by X‐ray diffraction. (PPh₄)₂[NiCl₄] · 2 MeCN (space group I 4, a = 1839.3 pm, c = 1375.3 pm) has a crystal packing derived from the BiPh₄[ClO₄] structure type with a fourfold increased unit cell and one half of the ClO₄^– positions substituted by pairsof acetonitrile molecules. The crystal structure of PPh₄[CoCl_0.6Br_2.4(NCMe)] (space group I4₁/a, a = 1804.7 pm, c = 3198.8 pm) is related to the AsPh₄[RuNCl₄] type with an eightfold increased unit cell. The [CoCl_0.6Br_2.4(NCMe)]^– ions are disordered in two orientations and some halogen positions are randomly occupied by Cl and Br atoms. Family trees of group–subgroup relations show the symmetry relations.     

Rhombohedral boron subnitride,B13N2, by X‐ray powder diffraction

The structure of the title compound consists of distorted B₁₂ icosahedra linked by N—B—N chains. The compound crystallizes in the rhombohedral space group Rm (No. 166). The unit cell contains four symmetry‐independent atom sites, three of which are occupied by boron [in the 18h, 18h (site symmetry m) and 3b (site symmetry m) Wyckoff positions] and one by nitrogen (in the 6c Wyckoff position, site symmetry 3m). Two of the B atoms form the icosahedra, while N atoms link the icosahedra together. The main feature of the structure is that the 3b position is occupied by the B atom, which makes the structure different from those of B₆O, for which these atom sites are vacant, and B_4+xC_1−x, for which this position is randomly occupied by both B and C atoms.     

A tetragonal form of dysprosium orthomolybdate at room temperature

In the present tetragonal modification of dysprosium orthomolybdate, Dy₂(MoO₄)₃, the Dy, one Mo and one O atom are located on a mirror plane with Wyckoff symbol 4e, while another Mo atom is located on a fourfold inverse axis, Wyckoff symbol 2a. A single crystal was selected from a polycrystalline mixture of the Dy₂O₃–ZrO₂–MoO₃ system and was stable at room temperature for at least three months. The structure refinement does not indicate the presence of Zr on the Dy sites (to within 1% accuracy). Thus, the stabilization of the tetragonal form is due to disordered positions for a second O atom and split positions for a third O atom that also maintain the DyO₇ coordination, which is not expected for short Dy—O distances [2.243 (6)–2.393 (5) Å].     

The diphyllosilicate Rb2(VO)2[Si8O19]

Dirubidium divanadyl phyllooctasilicate, Rb₂(VO)₂[Si₈O₁₉], is the first known anhydrous diphyllosilicate containing V^IV. The structure consists of silicate double layers which are separated by [V₂O₈]⁸⁻ dimers and is related to that of the compounds A₂Cu₂[Si₈O₁₉] (A = Rb or Cs), although the title compound crystallizes in a noncentrosymmetric orthorhombic space group. The silicate double layers contain four tetrahedrally coordinated Si sites in general positions and 12 O sites, nine in general positions and the other three on mirror planes. The vanadyl dimers have two square‐pyramidally coordinated V sites (site symmetry m). There are two different 10‐ and 12‐fold coordinated Rb sites with site symmetry m, one of which is a split position located between the dimers in the interlayer space, while the other is in a channel within the silicate layer.     

Synthese und Charakterisierung von InIII–SnII‐Halogenido‐Alkoxiden und von Indiumtri‐tert‐butoxid

Synthesis and Characterization of In^III–Sn^II‐Halogenido‐Alkoxides and of Indiumtri‐ tert ‐butoxide Through sodium halide elimination between Indium(III) halides and sodium‐tri‐tert‐butoxistannate(II) or sodium‐tri‐tert‐butoxigermanate(II) the three new heterometallic and heteroleptic alkoxo compounds THF · Cl₂In(OtBu)₃Sn ( 1 ), THF · Br₂In(OtBu)₃Sn ( 2 ), and THF · Cl₂In‐ (OtBu)₃Ge ( 3 ), have been synthesized. The molecular structures of 1 and 2 in the solid state follow from single crystal X‐ray structure determinations while structural changes in solution may be derived from temperature dependant NMR spectroscopy. The crystal structures of compounds 1 and 2 are despite different halide atoms isostructural. Both crystallize in the ortho‐rhombic crystal system in space group Pbca with eight molecules per unit cell. The heavy atoms occupy the apical positions of empty trigonal bipyramids of almost point symmetry C_s(m) and are connected through oxygen atoms occupying the equatorial positions. The indium atoms in both compounds are in the centers of distorted octahedra from 4 oxygen and 2 halogen atoms whereas the tin atoms are coordinated by three oxygen atoms in a trigonal pyramidal fashion. Although the coordinative bonding of THF to indium leads to an asymmetry of the molecule the NMR spectra in solution are simple showing a more complex pattern at lower temperatures. Tri(tert‐butoxi)indium [In(OtBu)₃]₂ ( 4 ), is obtained through alcoholysis of In(N(Si(CH₃)₃)₂)₃ using tert‐butanol in toluene and is crystallized from hexane. The X‐ray structure determination of 4 seems to be the first one of a homoleptic and homometallic indiumalkoxide. Compound 4 crystallizes in the monoclinic crystal system in a dimeric form with eight molecules in the unit cell of space group C2/c. The dimeric units have C₂ symmetry and an almost planar In₂O₂ ring which originates from oxygen bridging of the monomers. Through this mutual Lewis acid base interaction the indium atoms get four oxygen ligands in a distorted tetrahedral environment.     

Crystal structure of 5,6‐bis(9H‐carbazol‐9‐yl)benzo[c][1,2,5]thiadiazole: distortion from a hypothetical higher‐symmetry structure

Nucleophilic substitution of F atoms in 5,6‐difluorobenzo[c ][1,2,5]thiadiazole (DFBT) for carbazole could be potentially interesting as a novel way of synthesizing building blocks for new conjugated materials for applications in organic chemistry. The crystal structures of 5,6‐bis(9H‐carbazol‐9‐yl)benzo[c ][1,2,5]thiadiazole (DCBT), C₃₀H₁₈N₄S, and its hydrate, C₃₀H₁₈N₄S·0.125H₂O, were investigated using single‐crystal X‐ray analysis. The hydrate contains two symmetry‐independent DCBT molecules. The dihedral angles between the plane of the central benzothiadiazole fragment and that of the carbazole units vary between 50.8 and 69.9°, indicating conformational flexibility of the DCBT molecule in the crystals, which is consistent with quantum chemical calculations. The analysis of the crystal packing of DCBT revealed that the experimental triclinic structure could be described as a distortion from a hypothetical higher‐symmetry monoclinic structure. The quantum chemical calculations of two possible monoclinic structures, which are related to the experimental structure by a shifting of molecular layers, showed that the proposed structures are higher in energy by 5.4 and 10.1 kcal mol⁻¹. This energy increase is caused by less dense crystal packings of the symmetric structures, which results in a decrease of the number of intermolecular interactions.     

Polysulfonylamine. CLXVI [1] Kristallstrukturen von Metall‐di(methansulfonyl)amiden. 15 [1] Die isotypen Kristallstrukturen von Ammonium‐ und Caesium‐dimesylamid: Kristallographische Kongruenz zwischen Wasserstoffbrücken N—H···O/N und Metall‐Ligand‐Bindungen Cs—O/N

Polysulfonylamines. CLXVI. Crystal Structures of Metal Di(methanesulfonyl)amides. 15. The Isotypic Crystal Structures of Ammonium and Cesium Dimesylamide: Crystallographic Congruency of Hydrogen Bonds N—H···O/N and Metal‐Ligand Interactions Cs—O/N The ammonium salt NH₄[N(SO₂CH₃)₂] and its previously reported cesium analogue Cs[N(SO₂CH₃)₂] are isostructural (monoclinic, space group P2₁/n, Z = 4, V at —140 °C: 0.761 and 0.832 nm³ respectively). The cesium ion adopts an irregular (O₆N)‐heptacoordination by forming close contacts to one (O, N)‐chelating, one (O, O)‐chelating and three κ¹O‐bonding anions, whereas in the ammonium‐based structure each of the seven Cs—O/N interactions is perfectly mimicked by an N—H···O/N hydrogen‐bond component. To this effect, three N—H donors are engaged in asymmetric three‐centre bonds, the fourth in a moderately strong and approximately linear two‐centre bond. The crystal packings consist of anion monolayers that intercalate planar zigzag rows of cations propagating around symmetry centres (Cs···Cs alternatingly 422.5 and 487.5 pm, Cs···Cs···Cs 135.7°; N···N alternatingly 397.4 and 474.1 pm, N···N···N 136.1°). Each cation row is surrounded by and bonded to four translation‐generated anion stacks, and each anion stack connects two cation rows. The net effect is that the packings display congruent three‐dimensional networks of metal‐ligand bonds or hydrogen bonds, respectively. Moreover, close C—H···O/N interanion contacts consistent with weak hydrogen bonding are observed in both structures.     

Redetermination of Na3TaF8

The crystal structure of trisodium octafluoridotantalate, Na₃TaF₈, has been redetermined using diffractometer data collected at 153 K, resulting in more accurate bond distances and angles than obtained from a previous structure determination based on film data. The structure is built from layers running along [101], which are formed by distorted [TaF₈] antiprisms and [NaF₆] rectangular bipyramids sharing edges and corners. The individual layers are separated by eight‐coordinated Na ions. Two atoms in the asymmetric unit are in special positions: the Ta atom is on a twofold axis in Wyckoff position 4e and one of the Na ions lies on an inversion centre in Wyckoff site 4d.     

Group 12 Dihalides: Structural Predilections from Gases to Solids

Connections between the structures of Group 12 dihalides in their vapor and crystal phases are sought and discussed. The molecular structures of all monomers and dimers (MX₂: M=Zn, Cd, Hg and X=F, Cl, Br, I) were calculated at the density functional B3PW91 and MP2 computational levels. All the monomers are linear, with the mercury dihalide molecules having shorter bonds than their cadmium analogues; the ZnX₂ and CdX₂ structures are similar. The shorter Hg? X distances are traced back to relativistic effects. For the dimers, many possible geometrical arrangements were considered. The zinc and cadmium dihalide dimers have the usual D_2h‐symmetry geometry, whereas the mercury dihalide dimers are loosely‐bound units with C_2h symmetry. The origins of this C_2h structure are discussed from different points of view, including frontier orbital interactions. The crystals of Group 12 dihalides span a wide range of structure types, from three‐dimensional extended solids to molecular crystals. There is an obvious connection between the structures and characteristics of monomers, their dimers, and the crystals they form. The similarities as well as startling differences from the Group 2 dihalides are analyzed.     

Ca3[BN2]I3: The First Halide‐Rich Alkaline Earth Nitrido­borate with Isolated [BN2]3– Units

The title compound Ca₃[BN₂]I₃ was obtained from reactions of mixtures of the starting materials Ca₃[BN₂]₂ and CaI₂ in a 1:4 ratio in sealed Nb tubes at 1223 K. The crystal structure was solved from powder synchrotron diffraction data. Ca₃[BN₂]I₃ is the first example of a halide‐rich nitridoborate crystallizing in the rhombohedral space group R32 [no. 155, Pearson code: hR96; Z = 12; a = 16.70491(2) Å, c = 12.41024(2) Å]. The crystal structure is built up by two interpenetrating networks of condensed edge‐sharing [BN₂]@Ca₆ and [□]@I₆ trigonal antiprisms (□ = void). In Ca₃[BN₂]I₃ two crystallograhically distinct [BN₂]^3– anions are present with d(B1–N) = 1.393(2) Å and d(B2–N) = 1.369(9) Å. Their bond angles are practically linear, varying only slightly: N–B1–N = 179(1)° and N–B2–N = 180°. Vibrational spectra were interpreted based on the D_∞h symmetry of the discrete linear [N–B–N]^3– moieties, considering the site symmetry reduction and the presence of two distinct [BN₂]^3– groups.     

Single Crystal X‐ray Diffraction Study of CsHSi2O5

Hydrothermally synthesized CsHSi₂O₅ was studied by single‐crystal X‐ray diffraction. The compound is orthorhombic (space group Pnma). Unit cell parameters are a = 4.9758(3), b = 8.8089(6), c = 12.9295(9) Å with four formula units per cell. The structure was solved by direct methods and refined to a residual R₁ = 0.025 for 621 independent observed reflections with I > 2σ(I) and 41 parameters. Residual electron densities were used to locate positions of the H atoms. They are part of silanol groups and show a disorder involving two positions related by a center of symmetry. The resulting O—H···O distance of 2.44 Å is one of the shortest hydrogen bonded O···O distances in inorganic compounds containing silanol groups. The structure belongs to the class of unbranched zweier double chain silicates. The [Si₂O₄(OH)^—] chains run parallel [100]. Cesium cations providing additional linkage between the anionic ribbons reside in voids between the chains and coordinate to nine oxygen ligands.     

Cs2Mo15S19: a novel ternary reduced molybdenum sulfide containing Mo6 and Mo9 clusters

The crystal structure of dicaesium pentadecamolybdenum nonadeca­sulfide, Cs₂Mo₁₅S₁₉, consists of a mixture of Mo₆S₈S₆ and Mo₉S₁₁S₆ cluster units in a 1:1 ratio. Both units are interconnected via inter‐unit Mo—S bonds. The Cs⁺ cations occupy large voids between the different cluster units. The Cs and two inner S atoms lie on sites with 3 symmetry (Wyckoff site 12c) and the Mo and S atoms of the median plane of the Mo₉S₁₁S₆ cluster unit on sites with 2 symmetry (Wyckoff site 18e).     

Crystal Structures and Phase‐Transition Dynamics of Cobaltocenium Salts with Bis(perfluoroalkylsulfonyl)amide Anions: Remarkable Odd–Even Effect of the Fluorocarbon Chains in the Anion

Crystal structures and thermal properties of cobaltocenium salts with bis(perfluoroalkylsulfonyl)amide (C_nF_2n+1SO₂)₂N anions [n=0 ( 1 ), 1 ( 1 a ), 2 ( 1 b ), 3 ( 1 c ), and 4 ( 1 d )] and the 1,1,2,2,3,3‐hexafluoropropane‐1,3‐disulfonylamide anion ( 2 ) were investigated. In these solids, the cations are surrounded by four anions around their C₅ axis, and stacking of these local structures forms two kinds of assembled structures. In the salts with even n ( 1 , 1 b , and 1 d ), the cation and anion are arranged alternately to form mixed‐stack columns in the crystal. In contrast, in the salts with odd n ( 1 a and 1 c ), the cations and anions independently form segregated‐stack columns. An odd–even effect was also observed in the sum of the phase‐change entropies from crystal to melt. All of the salts exhibited phase transitions in the solid state. The phase transitions to the lowest‐temperature phase in 1 , 1 a , and 2 are accompanied by order–disorder of the anions and symmetry lowering of the space group, which results in the formation of an ion pair. Solid‐state ¹³C NMR measurements on 1 a and 1 b revealed enhanced molecular motions of the cation in the higher‐temperature phases.     

Cr1.45Tl1.87Mo15Se19, a monoclinic variant of the hexagonal In3Mo15Se19 type

The monoclinic compound Cr_1.45Tl_1.87Mo₁₅Se₁₉ (chromium thallium pentadecamolybdenum nonadecaselenide) represents a variant of the hexagonal In₃Mo₁₅Se₁₉ structure type. Its crystal structure consists of an equal mixture of Mo₆Se₈Se₆ and Mo₉Se₁₁Se₆ cluster units. The Mo and Se atoms of the median plane of the Mo₉Se₁₁Se₆ unit, as well as three Cr ions, lie on sites with m symmetry (Wyckoff site 2e). The fourth Cr ion is in a 2b Wyckoff position with site symmetry.     

Sc0.43(2)Rb2Mo15S19, a partially Sc‐filled variant of Rb2Mo15S19

The structure of scandium dirubidium pentadecamolybdenum nonadecasulfide, Sc_{0.43 (2)}Rb₂Mo₁₅S₁₉, constitutes a partially Sc‐filled variant of Rb₂Mo₁₅S₁₉ [Picard, Saillard, Gougeon, Noel & Potel (2000), J. Solid State Chem. 155 , 417–426]. In the two compounds, which both crystallize in the Rc space group, the structural motif is characterized by a mixture of Mo₆Sⁱ₈S^a₆ and Mo₉Sⁱ₁₁S^a₆ cluster units (`i' is inner and `a' is apical) in a 1:1 ratio. The two components are interconnected through interunit Mo—S bonds. The cluster units are centred at Wyckoff positions 6b and 6a (point‐group symmetries and 32, respectively). The Rb⁺ cations occupy large voids between the different cluster units. The Rb and the two inner S atoms lie on sites with 3. symmetry (Wyckoff site 12c), and the Mo and S atoms of the median plane of the Mo₉S₁₁S₆ cluster unit lie on sites with .2 symmetry (Wyckoff site 18e). A unique feature of the structure is a partially filled octahedral Sc site with symmetry. Extended Hückel tight‐binding calculations provide an understanding of the variation in the Mo—Mo distances within the Mo clusters induced by the increase in the cationic charge transfer due to the insertion of Sc.     

Synthetic aenigmatite analog Na2(Mn5.26Na0.74)Ge6O20: structure and crystal chemical considerations

Disodium hexamanganese(II,III) germanate is the first aenigmatite‐type compound with significant amounts of manganese. Na₂(Mn_5.26Na_0.74)Ge₆O₂₀ is triclinic and contains two different Na positions, six Ge positions and 20 O positions (all with site symmetry 1 on general position 2i of space group P). Five out of the seven M positions are also on general position 2i, while the remaining two have site symmetry (Wyckoff positions 1f and 1c). The structure can be described in terms of two different layers, A and B, stacked along the [011] direction. Layer A contains pyroxene‐like chains and isolated octahedra, while layer B is built up by slabs of edge‐sharing octahedra connected to one another by bands of Na polyhedra. The GeO₄ tetrahedra show slight polyhedral distortion and are among the most regular found so far in germanate compounds. The M sites of layer A are occupied by highly charged (trivalent) cations, while in layer B a central pyroxene‐like zigzag chain can be identified, which contains divalent (or low‐charged) cations. This applies to the aenigmatite‐type compounds in general and to the title compound in particular.     

Chromium‐based clinopyroxene‐type germanates NaCrGe2O6 and LiCrGe2O6 at 298 K

The structure analyses of sodium chromium digermanate, NaCrGe₂O₆, (I), and lithium chromium digermanate, LiCrGe₂O₆, (II), provide important structural information for the clinopyroxene family, and form part of our ongoing studies on the phase transitions and magnetic properties of clinopyroxenes. (I) shows C2/c symmetry at 298 K, contains one Na, one Cr (both site symmetry 2 on special position 4e), one Ge and three O‐atom positions (on general positions 8f) and displays the well known clinopyroxene topology. The basic units of the structure of (I) are infinite zigzag chains of edge‐sharing Cr³⁺O₆ octahedra (M1 site), infinite chains of corner‐sharing GeO₄ tetrahedra, connected to the M1 chains by common corners, and Na sites occupying interstitial space. (II) was found to have P2₁/c symmetry at 298 K. The structure contains one Na, one Cr, two distinct Ge and six O‐atom positions, all on general positions 4e. The general topology of the structure of (II) is similar to that of (I); however, the loss of the twofold symmetry makes it possible for two distinct tetrahedral chains, having different conformation states, to exist. While sodium is (6+2)‐fold coordinated, lithium displays a pure sixfold coordination. Structural details are given and chemical comparison is made between silicate and germanate chromium‐based clinopyroxenes.