Low density observations of Rb and Cs chains along the liquid–vapour coexistence curves to the critical point in relation to quantum-chemical predictions on the metal-insulator transitions in Li and Na rings

Recent ab initio predictions concerning the metal-insulator (MI) transition in rings of the light alkali atoms, Li and Na, are compared and contrasted with experimental facts concerning diluted Rb and Cs alkalis. The main focus here is on the local coordination number as a function of density as these two heavy alkali metallic fluids are taken along the liquid–vapour coexistence curve towards the critical point, which in these cases coincides with the MI transition. Also recorded are the results of experiments in which Cs chains are observed at large interatomic spacing outside semiconducting substrates of InSb and GaAs.     

Structure prediction of high-pressure phases for alkali metal sulfides

For a given chemical system we present a systematic approach to predict structures, which may exist at high pressure, by investigating the global enthalpy landscape. We combine global optimizations, based on empirical potential energy functions, and local optimizations (volume, cell shape, and atomic positions) on both Hartree-Fock and density functional theory level. We predict the existence of high-pressure phases for the alkali metal sulfides of the composition M2S (M = Li, Na, K, Rb, Cs), together with the transition pressures among these phases.     

Possible existence of alkali metal orthocarbonates at high pressure

We investigate the possible existence of crystalline alkali metal orthocarbonates, A(4)CO(4), where A=Li, Na, K, Rb, and Cs. We study the equilibrium between the possible modifications of the orthocarbonate A(4)CO(4) and the binary mixture of the possible modifications of the alkali oxide A(2)O and those of the alkali metal carbonate A(2)CO(3) as function of pressure. In all cases, the orthocarbonate should be stable at sufficiently high pressure ranging from 22-32 GPa (Rb(4)CO(4)) to 200-220 GPa (Cs(4)CO(4)).     

Präparative,röntgenographische und 1 H-Breitlinienresonanzuntersuchungen an Germylalkaliverbindungen,GeH 3 M

Preparation, X-Ray and 1 H-Wide-Line-Resonance Studies of Alkali Germyl Compounds, GeH ₃ M The alkali germyls GeH ₃ M (M = Li, Na, K, Rb, Cs) have been prepared from germane and the corresponding alkali metals. GeH ₃ K, GeH ₃ Rb and GeH ₃ Cs could be obtained as crystalline solids. It has been shown from X-ray single-crystal studies that GeH ₃ Cs has a structure of the TlI-type with the unusual coordination number 7. 1 H-wide-line-resonance investigations show that the rotations of the germyl groups are frozen in at low temperatures. From the observed 2. moment of the fixed germyl groups a H? Ge? H valence augle of 92.5±4°has been determined.     

Complexation of Calix[4]arene With Alkali Metal Cations: Conformational Binding Selectivity and Cation-π Driven Inclusion

Hartree-Fock, second order Møller-Plesset perturbation theory, and density functional theory calculations were carried out to analyse the complexation of calix[4]arene with cationic species including H + and the alkali metal cations (Li + , Na + , K + , Rb + , and Cs + ). Special emphasis has been placed on conformational binding selectivity, and on the structural characterization of the complexes. Li + and Na + cations are located in the calix[4]arene lower rim. The larger cations (K + , Rb + , and Cs + ) complex preferentially with the calix[4]arene cone conformer, and their endo (inclusive) complexation is driven by cation- ~ interactions, leading in the case of K + to a structure that reflects a preferential interaction with two phenol rings. The endo complexation of Cs + with calix[4]arene is in agreement with X-ray diffraction data.     

Volumetric properties of water–poly(acrylic acid) salt systems from the pure solid to highly concentrated solutions

Volumetric properties of poly(acrylic acid) alkali-metal salts (Li, Na, K, Rb, and Cs) with different degrees of neutralization and water contents were studied in the range from pure solid to highly concentrated solutions. The apparent partial molar volume ?₂ of the polymer and the partial molar volume V₁ of water were calculated from density data. The value of ?₂ decreased with decreasing polymer concentration and eventually leveled off. Values of V₁, which at low water contents were much smaller than that of free water, increased with increasing water content and eventually reached a constant value equivalent to that of free water, thus indicating the appearance of free water. Water contents corresponding to the appearance of free water increased in the order of Li < Na < K < Rb < Cs, differing from the usual trend of hydration numbers observed in dilute solutions. The change of the slope of the plots of V₁ versus composition suggested a change in the hydration mechanism. For Li, Na, and K salts, the limiting values of V₁ at very low water content is considerably smaller than the 18 cm³/mol of free water. In contrast, for Rb and Cs salts, these values were relatively large, indicating the relatively weak electrostriction effects of these ions.     

Monovalent ion adsorption at the muscovite (001)-solution interface: relationships among ion coverage and speciation, interfacial water structure, and substrate relaxation

The interfacial structure between the muscovite (001) surface and aqueous solutions containing monovalent cations (3 × 10(-3) m Li(+), Na(+), H(3)O(+), K(+), Rb(+), or Cs(+), or 3 × 10(-2) m Li(+) or Na(+)) was measured using in situ specular X-ray reflectivity. The element-specific distribution of Rb(+) was also obtained with resonant anomalous X-ray reflectivity. The results demonstrate complex interdependencies among adsorbed cation coverage and speciation, interfacial hydration structure, and muscovite surface relaxation. Electron-density profiles of the solution near the surface varied systematically and distinctly with each adsorbed cation. Observations include a broad profile for H(3)O(+), a more structured profile for Li(+) and Na(+), and increasing electron density near the surface because of the inner-sphere adsorption of K(+), Rb(+), and Cs(+) at 1.91 ± 0.12, 1.97 ± 0.01, and 2.26 ± 0.01 ?, respectively. Estimated inner-sphere coverages increased from ~0.6 to 0.78 ± 0.01 to ~0.9 per unit cell area with decreasing cation hydration strength for K(+), Rb(+), and Cs(+), respectively. Between 7 and 12% of the Rb(+) coverage occurred as an outer-sphere species. Systematic trends in the vertical displacement of the muscovite lattice were observed within ~40 ? of the surface. These include a <0.1 ? shift of the interlayer K(+) toward the interface that decays into the crystal and an expansion of the tetrahedral-octahedral-tetrahedral layers except for the top layer in contact with solution. The distortion of the top tetrahedral sheet depends on the adsorbed cation, ranging from an expansion (by ~0.05 ? vertically) in 3 × 10(-3)m H(3)O(+) to a contraction (by ~0.1 ?) in 3 × 10(-3) m Cs(+). The tetrahedral tilting angle in the top sheet increases by 1 to 4° in 3 × 10(-3) m Li(+) or Na(+), which is similar to that in deionized water where the adsorbed cation coverages are insufficient for full charge compensation.     

Calculation of Conditional Equilibrium Constants of Reactions of Reduction of Titanium,Zirconium, and Hafnium Chlorides with Alkali Metals in a Melt of Their Chlorides

Equilibrium constants of the reactions of reduction of Ti, Zr, and Hf chlorides with metallic Li, Na, K, Rb, and Cs in their molten chlorides were calculated from published data.     

Static polarizability of small simple metal clusters in dielectric media

Using the local-density-functional method and spherical jellium model, the electronic structure and static polarizability α(0) of small simple metal clusters (Al, Li, Na, K, Rb, and Cs) surrounding by media with dielectric constants ε = 1 ÷ 25 have been calculated. It has been obtained that α(0) of the smallest clusters with a low mean valence electron density is a decreasing function of ε, whereas for the clusters with a high valence electron density it rises with ε.     

Electronic structure and quadrupole interactions in triple molybdates Li<Subscript>2</Subscript>M<Subscript>3</Subscript>Al(MoO<Subscript>4</Subscript>)<Subscript>4</Subscript>, M = Cs,Rb

Within the density functional theory the electronic structure of triple molybdates Li₂M₃Al(MoO₄)₄, where M = Cs, Rb, is studied for the first time. It is found that all molybdates studied belong to wide band insulators with a band gap of ~4 eV. Quadrupole frequencies and asymmetry parameters of the electric field gradient near magnetic ⁷Li, ²⁷Al, ⁸⁷Rb, and ¹³³Cs nuclei are calculated and experimental NMR spectra are interpreted.     

A comparative study of thermal pressure coefficients of liquid alkali metals using equation of state and dense fluid theory

ABSTRACT

A simple analytical expression is derived to calculate the thermal pressure coefficients of liquid alkali metals. First, a modified linear isothermal regularity is applied to calculate the thermal pressure coefficients for caesium (Cs) and rubidium (Rb) in different thermodynamic states. The results obtained show that the calculated thermal pressure coefficients increase with increase in the density and decrease in the temperature. The extent of deviation between the calculated thermal pressure coefficients from the modified regularity and experimental values reduce remarkably with respect to those obtained from the primary isothermal regularity. Secondly, the thermal pressure coefficients are determined by the accurate dense fluid theory for a hard-sphere system. A comparative study of the predicted thermal pressure coefficients for both Cs and Rb shows that the results obtained by the isothermal regularity theory are closer to the experimental data with respect to the ones obtained from the statistical thermodynamic method.     

Alkali Metal-incorporated Mesoporous Smectites:Crystallinity and Textural Properties

IntroductionSynthesized smectite- like compounds are a newkind of mesoporous materials[1] .Compared withother mesoporous materials like MCM and FSMfamilies[2 ,3 ] ,these smectite- type materials can havewide variations in both chemical composition andpore structure depending on the precursors usedand the synthesis conditions.Various di- or tri- va-lent metals such as Mg,Co,Ni,Fe,Zn and othercatalytically active elements can be introduced intosmectite- like materials.These flexible feature…     

Das Verhalten der Alkalimetalle zu den Metallen der Gruppe III B

The following binary systems have been investigated by thermal analysis: Li/Ga, Rb/Ga, Cs/Ga, Li/In, Na/In, K/In, Rb/In, Cs/In, K/Tl, Rb/Tl, Cs/Tl. The intermetallic compounds found by thermal analysis have been confirmed by measurements of the atomic volumes. Furthermore use was made of X—ray powder diagrams; These showed too many reflexes so that an evaluation was not possible. The compounds are listed in “Inhaltsübersicht”. The underlined phases are melting congruently; the other ones are formed by peritectic reactions; as usual the composition of these compounds is not certain. Finally a survey is given of the systems of the alkaline metals with Al and the elements of the IIIB group.     

The calculation of Cs and Rb conductivities in the region of liquid–plasma transition

The conductivity and thermal conductivity of Cs and Rb are calculated in the liquid phase and in the region between the plasma (gas) and the liquid states. The last area is located at the temperatures higher than the critical one, near the critical point. The Ziman formalism originated from the liquid metal theory was used for the calculations. The results of present calculations were compared with available experiments and calculations of other researchers. It was found that the liquid state formalism can be applied to expanded liquid Cs and Rb at densities higher than the critical one, but another type of models is necessary at lower densities.     

Einkristallstrukturbestimmungen der kubischen Hochdruckelpasolithe Rb2LiFeF6 und Cs2NaFeF6: Druck-Abstands-Paradoxon ohne Änderung der Koordinationszahl

Single Crystal Structure Determinations of the Cubic High Pressure Elpasolites Rb₂LiFeF₆ and Cs₂NaFeF₆: Pressure-Distance Paradox without Change of Coordination Number At single crystals of metastable high pressure phases of Rb₂LiFeF₆ (a = 824.4 pm) and Cs₂NaFeF₆ (a = 873,9 pm) the parameters of the cubic elpasolite structure (Fm3 m, Z = 4) were determined by X-ray methods. Compared to the 12L-structures of the normal pressure phases (R3 m, hex. Z = 6) only the distances within the 12-coordination, Rb? F = 291.7 resp. Cs? F = 309.9 pm, are compressed by 2–3%. However, the octahedral distances Fe? F = 194.6 pm and Li? F = 217.6 pm resp. Fe? F = 194.9 pm and Na? F = 242.0 pm, are enlarged by 1–4%, though there was no increase in coordination number. This paradoxical behaviour is discussed. Difference Fourier syntheses reveal disorder only for the lithium positions in Rb₂LiFeF₆, which are 30 pm off-center, corresponding to a splitting of distances Li? F into 188, 247 and 4 × 220 pm.     

Dodecahydroxy-closo-dodecaborate(2-).

The cesium salt of the icosahedral borane anion dodecahydroxy-closo-dodecaborate(2-), Cs(2)[closo-B(12)(OH)(12)], Cs(2)1, was prepared by heating cesium dodecahydro-closo-dodecaborate(2-), Cs(2)[closo-B(12)H(12)], Cs(2)2, with 30% hydrogen peroxide. The other alkali metal salts A(2)1 (A = Li, Na, K, Rb) precipitated upon addition of ACl to warm aqueous solutions of Cs(2)1. The ammonium salt, [NH(4)](2)1, and the (mu-nitrido)bis(triphenylphosphonium) salt, [PPN](2)1, were obtained similarly. The [H(3)O](2)1 salt precipitated upon acidification of aqueous solutions of Cs(2)1 with hydrochloric acid. The solubility of these salts in water was determined by measuring the boron content of saturated aqueous solutions of A(2)1 (A = Li, Na, K, Rb, Cs), [H(3)O](2)1, and [NH(4)](2)1 using ICP-AES. Although these salts are derived from a dianion with twelve pendant hydroxyl groups, the alkali metal salts surprisingly displayed low water solubilities. Water solubility decreases with a decrease in the radius of A(+), except for the lithium salt, which is slightly more soluble than the potassium salt. The [H(3)O](2)1 and the [NH(4)](2)1 salts provide rare examples of water-insoluble hydronium and ammonium salts. The low water solubility of the A(2)1 salts is attributed to the dianion's pendant hydroxyl groups, which appear to function as cross-linking ligands. Four alkali metal salts, A(2)1 (A = Na, K, Rb, Cs), were characterized in the solid state by single-crystal X-ray crystallography. These data revealed intricate networks in which several anions are complexed through their hydroxyl groups to each alkali metal cation. In addition, the anions are engaged in hydrogen bonding with each other and, if present, with water of hydration. This cross-linking results in the precipitation of aggregated salts. Cation coordination numbers decrease with cation radius. Thus, cesium and rubidium are ten-coordinate, whereas potassium is seven-coordinate and sodium is six-coordinate. The geometry of anion 1(2)(-) is independent of cation identity; the B-B and B-O bond lengths of the various A(2)1 salts (A = Na, K, Rb, Cs) are identical.     

Structural Study of Alkaline 1-Phenyl-1H-1, 2, 3, 4-tetrazole-5-thiolate Salts: An Example of Periodicity in Alkaline Cations

The alkaline 1-phenyl-1H-1, 2, 3, 4-tetrazole-5-thiolate salts, M[C₆H₅N₄CS] (M = Li ( 1 ), Na ( 2 ), K ( 3 ), Rb ( 4 ) and Cs ( 5 )) were obtained and characterized by means of mass spectrometry (FAB⁺) and NMR (¹H; ¹³C) spectroscopy. The structures of Na ( 2 ), K ( 3 ), Rb ( 4 ) and Cs ( 5 ) compounds were determined by X-ray diffraction methods. The ligand shows a rich variety of coordination patterns with the alkaline cations. The formation of a four-membered ring MSCN in the compounds with heavier alkali cations (K, Rb and Cs) is shown. In all the cations the coordination number around it increases with the ionic radius. Compounds with Cs⁺ and Rb⁺ exhibited the formation of Cs-C and Rb-C interactions with the phenyl group.     

MIn3S5 (M = Rb,Cs), a New Structure Type based on a Joint ccp Arrangement of S2— and M+: Structure,Microstructure, and Twinning

The compounds MIn₃S₅ (M = Rb, Cs) represent new ternary chalcogenides on the quasi binary section M₂S‐In₂S₃ (M = Rb, Cs) with the two binary phases in a molar ratio of 1:3. RbIn₃S₅ and CsIn₃S₅ (both red‐transparent) crystallize in a new structure type (SG: P2/m, Z = 3). The indium atoms are coordinated by sulfur atoms with tetrahedral as well as octahedral arrangement, while the coordination numbers of the two crystallographically independent M atoms are nine and ten. A special feature of these solids is the slightly distorted joint ccp arrangement of the sulfur and alkali metal atoms. The crystals of both solids are characterized by a systematic twinning based on the peculiarity just mentioned. The twinnig law and the atomic arrangement at the twin interface have been investigated by single crystal X‐Ray diffraction and high resolution electron microscopy (HREM).     

Single-crystal X-ray studies of five alkali metal salts of luminol

Luminol salts of five alkali metals, Li, Na, K, Rb, and Cs, have been prepared and structurally characterized by single-crystal X-ray diffraction. Luminol is deprotonated at the same site whereas each ionic salt has a unique composition and a different number of water molecules. The cation/luminol ion pair to water molecule ratio in the lattices varies as follows: 1 : 0 for K, 1 : 1 for Li, 1 : 2 for Rb, 1 : 3 for Cs, and 1 : 6 for Na. The differences in composition among the five compounds lead to different metal coordination environments in the solid state and distinct 3-D molecular arrangements in the lattice.     

UV and IR spectroscopy of cold 1,2-dimethoxybenzene complexes with alkali metal ions

We report UV photodissociation (UVPD) and IR-UV double-resonance spectra of 1,2-dimethoxybenzene (DMB) complexes with alkali metal ions, M(+)·DMB (M = Li, Na, K, Rb, and Cs), in a cold, 22-pole ion trap. The UVPD spectrum of the Li(+) complex shows a strong origin band. For the K(+)·DMB, Rb(+)·DMB, and Cs(+)·DMB complexes, the origin band is very weak and low-frequency progressions are much more extensive than that of the Li(+) ion. In the case of the Na(+)·DMB complex, spectral features are similar to those of the K(+), Rb(+), and Cs(+) complexes, but vibronic bands are not resolved. Geometry optimization with density functional theory indicates that the metal ions are bonded to the oxygen atoms in all the M(+)·DMB complexes. For the Li(+) complex in the S(0) state, the Li(+) ion is located in the same plane as the benzene ring, while the Na(+), K(+), Rb(+), and Cs(+) ions are located off the plane. In the S(1) state, the Li(+) complex has a structure similar to that in the S(0) state, providing the strong origin band in the UV spectrum. In contrast, the other complexes show a large structural change in the out-of-plane direction upon S(1)-S(0) excitation, which results in the extensive low-frequency progressions in the UVPD spectra. For the Na(+)·DMB complex, fast charge transfer occurs from Na(+) to DMB after the UV excitation, making the bandwidth of the UVPD spectrum much broader than that of the other complexes and producing the photofragment DMB(+) ion.