Interaction between two similar plane parallel double layers for Mg<Subscript>3</Subscript>(PO<Subscript>4</Subscript>)<Subscript>2</Subscript> type asymmetric electrolytes at positive surface potential

The interaction between two similar plane double-layers for Mg₃(PO₄)₂ type asymmetric electrolytes was investigated with the aid of λ parameter method. The interaction energies for the system at positive surface potential were expanded in power series at low and high potential, respectively. The accurate numeral results and V′-ξ _d curves were given for y ₀ ≤ 20 and they can be used to check up the validity of approximate expressions obtained. When y ₀ ≥ 5, V′ hardly changes with y ₀. The interaction energies between two similar plane parallel double layers for symmetric and asymmetric electrolytes at y ₀ = 1 were compared; when ξ _d is small, the interaction energies for Mg₃(PO₄)₂ type electrolytes increase more drastically than for other type electrolytes. The present results are also fit for Al₂(SO₄)₃ type asymmetric electrolytes at negative surface potential. The article is published in the original.     

Interactions between two similar plane parallel double layers for Na<Subscript>3</Subscript>PO<Subscript>4</Subscript> type asymmetric electrolytes at positive surface potential

The interactions between two similar plane double-layers for Na₃PO₄ type asymmetric electrolytes are described using hyperelliptic integrals. The mathematical treatments of hyperelliptic integrals are much more difficult than those of elliptic integrals. The system was successfully treated with the aid of the λ parameter method. The interaction energies for the system at positive surface potential are expanded in power series at low, moderate, and high potentials, respectively. The accurate numeral results and V′-ξ _d curves are given for y ₀ ≤ 20 and can be used to check the validity of approximate expressions obtained. When y ₀ ≥ 5, V′ hardly changes with y ₀. The interaction energies between two similar plane parallel double layers for symmetric and asymmetric electrolytes at y ₀ = 1 were compared; when ξ _d → 0, the interaction energies for Na₃PO₄ type electrolytes are much larger than for electrolytes of other types. The present results are also fit for FeCl₃-type asymmetric electrolytes at negative surface potential. The text was submitted by the author in English.     

Interaction between two double-layers for FeCl<Subscript>3</Subscript> and Na<Subscript>3</Subscript>PO<Subscript>4</Subscript> type electrolytes in case the signs of potentials on two plates are opposite

The interaction energies between two double layers for FeCl₃ or Na₃PO₄ type electrolytes at y ₀ > 0 >y _d>—y ₀ were calculated with the aid of 7n parameter methods and the accurate numeral results were given when the dimensionless surface potential of two double layers changes from -20 to +20. When ∣y _d∣ > 5, the absolute value of the interaction energies, ∣V’∣, for FeCl₃ type electrolytes at y ₀= 1 stops to increase. When y ₀> 8, the ∣V’∣ for FeCl₃ type electrolytes at y _d= -1 ceases to change. The influence of y _d on ∣V’∣ for FeCl₃ type electrolytes is more significant than the influence of y ₀. The variation of ∣V’∣ with y _d and y ₀ for Na₃PO₄ type electrolytes is opposite to that for FeCl₃ type electrolytes. The interaction energies between two dissimilar double layers for Na₂SO₄, CaCl₂, NaCl, Na₃PO₄ and FeCl₃ type electrolytes at y ₀= 1 and y _d = -10 are compared and the results indicate that the interaction energies close to each other for FeCl₃ and CaCl₂ type electrolytes and for Na₃PO₄ and Na₂SO₄ type electrolytes, respectively. ∣V’∣ increases with the raises of y ₀ or ∣y _d∣, but decreases with the raises of z ₊ or z _-.     

Interaction between Two Similar Plane Parallel Double Layers for Al2(SO4)3 Type Asymmetric Electrolytes at Positive Surface Potential

The interaction between two similar plane double-layers for Al₂(SO₄)₃ type asymmetric electrolytes was investigated with the aid of λ parameter method. The interaction energies for the system at positive surface potential were expanded in the power series at low and high potential, respectively. The high potential formula can be applied to 0.2 ≤ y_e  < y ₀ ≤ 20. This almost covers with the bounds of all potential, and that the calculative method is relative simple. The accurate numeral results and V′?ξ_d curves were given for y ₀ ≤ 20. When y ₀ ≥ 5, V′ hardly change with y ₀. The interaction energies between two similar plane parallel double layers for the different type electrolytes at y ₀ = 1 were compared. The present results are also fit for Mg₃(PO₄)₂ type electrolytes at negative surface potential.     

Two rapidly convergent series for calculating the interaction energies between two dissimilar double layers for Na2SO4 or CaCl2 types asymmetric electrolytes at y0 > 0 > yd ≥ ?y0

Two rapidly convergent series for calculating the interaction energies between two dissimilar double layers for Na₂SO₄ or CaCl₂ types asymmetric electrolytes at y ₀ > 0 > yd ≥ −y ₀ were derived, the number of the series terms required to obtain the interaction energies with six significant digits is not more than 4 when the dimensionless surface potential of two dissimilar double layers changes from −20 to + 20. The absolute values of the interaction energies V between two dissimilar double layers for Na₂SO₄, CaCl₂ and NaCl types electrolytes obey the following relations: when −y _d = y ₀, V′Na₂SO₄ = V′CaCl₂; when −y _d > y ₀, V′Na₂SO₄ > V′CaCl₂; when −y _d < y ₀, V′Na₂SO₄ < V′CaCl₂; V′Na₂SO₄ or V′CaCl₂ is always less than V′_NaCl. Several approximate expressions were given for interaction energy at y ₀ and −y _d ≪ 1.     

Phase relations in the Zn<Subscript>2</Subscript>V<Subscript>2</Subscript>O<Subscript>7</Subscript>-Cu<Subscript>2</Subscript>V<Subscript>2</Subscript>O<Subscript>7</Subscript> system from room temperature to melting

Phase relations in the Zn₂V₂O₇-Cu₂V₂O₇ system were studied by high-temperature X-ray diffraction and differential thermal analysis. The major phase constituents of the system are solid solutions based on Zn₂V₂O₇ and Cu₂V₂O₇ polymorphs and their coexistence regions. The generation of α-Zn_{2 − 2x} Cu_2x V₂O₇ solid solution, where 0 ≤ x ≤ 0.30, leaves almost unchanged the stabilization temperature of the high-temperature zinc pyrovanadate phase. The α-Cu_{2 − 2x} Zn_2x V₂O₇ homogeneity range is 5 mol % Zn₂V₂O₇. In the range 0.050 ≤ x ≤ 0.09 from 20 to ∼ 620°C, there is the two-phase field of α-Cu₂V₂O₇ and β-Cu₂V₂O₇ base solid solutions. At still higher temperatures, β-Zn_{2 − 2x} Cu_2x V₂O₇ and α-Cu_{2 − 2x} Zn_2x V₂O₇ coexist in the mixed-phase region. β-Zn_{2 − 2x} Cu_2x V₂O₇ solid solution, where 0 ≤ x ≤ 0.30, exists above 610 ± 5°C. The extent of the β′-Cu₂V₂O₇-base solid solution is 9 to 65 mol % Zn₂V₂O₇ at 615 ± 5°C, expanding to 0 mol % Zn₂V₂O₇ with rising temperature. Original Russian Text ￠ T.I. Krasnenko, M.V. Rotermel’, S.A. Petrova, R.G. Zakharov, O.V. Sivtsova, A.N. Chvanova, 2008, published in Zhurnal Neorganicheskoi Khimii, 2008, Vol. 53, No. 10, pp. 1755–1762.     

High efficient calculation of the interaction energies between two double layers for CaCl2 type asymmetric electrolytes at y 0 > y d > 0

Several rapidly convergent series for the highly efficient calculation of the interaction energies between dissimilar double layers for CaCl₂ type electrolytes at y ₀ > y _d > 0 were derived. The accurate numeral results were given and several approximate expressions were obtained for y ₀ ≪ 1. The number of the series terms required to obtain the interaction energies with six significant digits is not more than 3 when the dimensionless surface potential of double layers y ₀ ≤ 20. The interaction energies between dissimilar double layers for Na₂SO₄ or CaCl₂ type electrolytes depend significantly on the y _d value, while the interaction energies for Na₂SO₄ type electrolytes is practically independent of y ₀. The present results can also be applied to Na₂SO₄ type electrolytes at y ₀ < y _d < 0. The text was submitted by the authors in English.     

Thermal analysis and structural characterization of Bi<Subscript>4</Subscript>V<Subscript>2–x</Subscript>Ba<Subscript>x</Subscript>O<Subscript>11–1.5x</Subscript> (0.02≤<Emphasis Type="Italic">x</Emphasis>≤0.50)

This work reports the study of Bi₄V_2–xBa_xO_11–1.5x (0.02≤x≤0.50) series, which is a potential source of solid electrolytes to apply in oxygen sensors. X-ray powder diffraction was used to point out the formation of major ionic conductive phases and minor ones. The modifications of vanadate substructure were probed, at short range, by Fourier-transform infrared spectroscopy. Differential scanning calorimetry evidenced the formation of tetragonal γ phase, which can be ionic conductive, for x=0.14.     

The application of the λ parameter method to calculation of the interaction energies between two plane parallel double layers for symmetric electrolytes

The λ parameter method had successfully been applied to calculate the interaction energies between two plane parallel double layers for symmetric electrolytes. When y ₀ and |y _d | ≤ 20, the number of the series terms required to obtain the interaction energies with six significant digits is not more than 4. If we regard the interaction energies as the function of the hyperbolic function tanh (y ₀/2) instead of tanh(y ₀/4), then calculating it with the aid of λ parameter method, we can obtain above results at once. This enables one to avoid the mathematical complexity of other methods.     

High-efficient calculation of the interaction energies between dissimilar double layers for Na2SO4-type asymmetric electrolytes at y 0 > y d > 0

Several rapidly convergent series for highly efficient calculation of the interaction energies between dissimilar double layers for Na₂SO₄-type electrolytes at y ₀ > y _d > 0 are derived, the accurate numerical results are given, and several approximate expressions are obtained for y ₀ ≪ 1. The number of the series terms required to obtain the interaction energies with six significant digits via the use of the series derived is no more than 2 when the dimensionless surface potential of double layers y ₀ ≤ 20. The interaction energies between dissimilar double layers for NaCl-or Na₂SO₄-type electrolytes are remarkably affected by the value of y _d,, but the interaction energies for Na₂SO₄-type electrolytes are hardly affected by the value of y ₀. The present results can also be applied to CaCl₂-type electrolytes at y ₀ < y _d < 0. The text was submitted by the authors in English.     

Formation and properties of the Fe<Subscript>8</Subscript>V<Subscript>10</Subscript>W<Subscript>16–x</Subscript>Mo<Subscript>x</Subscript>O<Subscript>85</Subscript> type solid solution

Solid solution phases of a formula Fe₈V₁₀W_16–xMo_xO₈₅ where 0≤x≤4, have been obtained, possessing a structure of the compound Fe₈V₁₀W₁₆O₈₅. It was found on the base of XRD and DTA investigations that these solution phases melted incongruently, with increasing the value of x, in the temperature range from 1108 (x=0) to 1083 K (x=4) depositing Fe₂WO₆ and WO₃. The increase of the Mo⁶⁺ ions content in the crystal lattice of Fe₈V₁₀W₁₆O₈₅ causes the lattice parameters a=b contraction with cbeing almost constant. IR spectra of the Fe₈V₁₀W_16–xMo_xO₈₅ solid solution phases have been recorded.     

Calculations of chemical equilibria in heparin-arginine-H<Subscript>2</Subscript>O-NaCl and MCl<Subscript>2</Subscript>-heparin-arginine-H<Subscript>2</Subscript>O-NaCl systems (M = Ca<Superscript>2+</Superscript>, Mg<Superscript>2+</Superscript>) in a physiological solution

Chemical equilibria in the high-molecular-weight heparin (Na₄hep)-arginine (HArg)-H₂O-NaCl and MCl₂-Na₄hep-HArg-H₂O-NaCl systems of electrolytes (M = Ca²⁺, Mg²⁺) were calculated by the method of mathematical simulation of chemical equilibria from representative planned pH-metric titration experiment at 2.30 ≤ pH ≤ 10.50 in a physiological solution medium in the presence of 0.154 M NaCl as a background electrolyte at 37°C. The initial concentrations of the basic components were n × 10⁻³ M (n ≤ 4).     

Solid electrolytes based on CeO<Subscript>2</Subscript> for medium-temperature electrochemical devices

CeO₂-based solid solutions with a fluorite structure are promising materials as electrolytes of medium-temperature electrochemical devices: electrolytic cells, oxygen sensors, and solid oxide fuel cells. In this work, studies are presented of the effect of the dopant cation radius and its concentration on the physico-chemical properties of the Ce_{1 − x} Ln _x O_{2 − δ} solid solutions (x = 0–0.20; Ln = La, Nd, Sm, Eu, Gd, Dy, Ho, Er, Yb) and also of multicomponent solid solutions of Ce_{1 − x} Ln _x/2Ln′ _x/2O_{2 − δ} (x = 0–0.20; Ln = Sm, La, Gd and Ln′ = Dy, Nd, Y) and Ce_{1 − x − y} Sm _x M _y O_{2 − δ} (M = Ca, Sr, Ba) obtained using the solid-phase synthesis technique. Electric properties of the samples were studied in the temperature range of 623–1173 K and in the oxygen partial pressure range of 0.01–10⁻²² MPa. The values of oxygen critical pressure ( p_O2 ^* )\left( {p_{O_2 }^* } \right) are presented, at which the ionic and electron conductivity values are equal. The values were calculated on the basis of experimental dependences at 1023 K at the assumption that the ionic conductivity value is determined only by the dopant concentration and its effective ionic radius and is independent of the oxygen partial pressure.     

Interaction between two double layers for FeCl3 types electrolytes at y0 > yd > 01

Interaction between two double layers for FeCl3 type electrolytes at y ₀ > y _d > 0 were investigated with the aid of λ parameter methods and the accurate numeral results were given. When y _d increases, the interaction energies increase at constant y ₀ and ξ _d . The maximum of the interaction energies between two double layers for $ A_{v_ + } B_{v_ - } $ A_{v_ + } B_{v_ - } type electrolytes at y ₀ > y _d > 0 is independent of y ₀, but increases with the augment of y _d . The interaction energies between two double layers for NaCl, CaCl₂, FeCl₃ and Na₂SO₄ type electrolytes at y ₀ = 5 and y _d = 2 were compared. If the negative or positive ions for {ie39-2} type electrolytes have the same charge number, the maximum of their interaction energies increases with the augment of the charge number of the ions with opposite charge. For a pairs conjugate type electrolytes like CaCl₂ and Na₂SO₄ or FeCl₃ and Na₃PO₄, the larger the charge number of the negative ions is, the larger the maximum of the interaction energies is. The results for FeCl₃ type electrolytes at y ₀ > y _d > 0 can also be applied to Na₃PO₄ type electrolytes at y ₀ < y _d < 0.     

Hydrothermal synthesis and crystal structure of [Ni(Bptc)<Subscript>2</Subscript>(Bimb)<Subscript>2</Subscript>(H<Subscript>2</Subscript>O)<Subscript>2</Subscript>]

In the compound [Ni(Bptc)₂(Bimb)₂(H₂O)₂] (I), where H₄Bptc is 3,3′,4,4′-biphenyltetracarboxylic acid; Bimb is 4,4′-bis(1-imidazolyl)biphenyl), Ni(II) has a distorted octahedral coordination geometry, which was bonded with two N atoms from two Bimb ligands, two O atoms from two H₂Bptc²⁻ ligands and two water O atoms. The crystal structure of compound I is stabilized by the π-π-stacking and hydrogen bonds interaction.     

Al,B, and F doped LiNi<Subscript>1/3</Subscript>Co<Subscript>1/3</Subscript>Mn<Subscript>1/3</Subscript>O<Subscript>2</Subscript> as cathode material of lithium-ion batteries

A series of the mixed transition metal compounds, Li[(Ni_1/3Co_1/3Mn_1/3)_1–x-y Al _x B _y ]O_2-z F _z (x = 0, 0.02, y = 0, 0.02, z = 0, 0.02), were synthesized via coprecipitation followed by a high-temperature heat-treatment. XRD patterns revealed that this material has a typical α-NaFeO₂ type layered structure with R3^- m space group. Rietveld refinement explained that cation mixing within the Li(Ni_1/3Co_1/3Mn_1/3)O₂ could be absolutely diminished by Al-doping. Al, B and F doped compounds showed both improved physical and electrochemical properties, high tap-density, and delivered a reversible capacity of 190 mAh/g with excellent capacity retention even when the electrodes were cycled between 3.0 and 4.7 V.     

Phase equilibria and isomorphism in the LiVWO<Subscript>6</Subscript>-NaVWO<Subscript>6</Subscript> system

Compounds of composition Li _x Na_{1 − x} VWO₆ (0 ≤ x ≤ 1), which are synthetic analogues of brannerite-type minerals, were produced for the first time by solid-state synthesis at high temperatures. The structure of the compounds and their unlimited miscibility in the solid phase in the LiVWO₆-NaVWO₆ binary system were determined by X-ray diffraction. The phase equilibrium diagram was studied by differential thermal analysis together with thermodynamic modeling. It was found that the system under investigation is described by the regular solid solutions model.     

Phase formation in the FeVO<Subscript>4</Subscript>–Co<Subscript>3</Subscript>V<Subscript>2</Subscript>O<Subscript>8</Subscript> system

Phase relations in the solid state in the FeVO₄–Co₃V₂O₈ system, in the whole range of components concentration have been studied. It was found that the composition of the phase of the howardevansite type structure, formed in the investigated system, corresponds with the Co_2.616Fe_4.256V₆O₂₄ formula. The phase of the lyonsite type structure has a homogeneity range with the Co_3+1.5xFe_4–xV₆O₂₄ formula (0.476 formula (0.476<x<1.667). The melting temperature and the volume of the unit cell of the lyonsite type structure phase increases together with the rise of cobalt quantity contained in it. Basing on the results of the DTA and XRD measurements a phase diagram of the FeVO_4–Co₃V₂O₈ system up to the solidus line was constructed.     

Hydrothermal synthesis,crystal structure and magnetic properties of a new one-dimensional polymer [{Cu(4,4′- bipy)(CH<Subscript>3</Subscript>COO)<Subscript>2</Subscript>}·3H<Subscript>2</Subscript>O]<Subscript>n</Subscript>

One new metal – organic coordination framework formulated as [{Cu(4,4′-bipy)(CH₃COO)₂}·3H₂O]_n (1) (where 4,4′-bipy=4,4′-bipyridine) has been hydrothermally synthesised and characterised by elemental analysis, IR and electronic spectroscopy, variable temperature magnetic moment measurement and single crystal X-ray diffraction study. Single crystal X-ray analysis reveals that 1 is one dimensional polymeric compound in which acetate ligand shows both mono- and bidentate bonding mode, and 4,4′-bipy acts as bridging ligand which supports the formation of infinite chains. The global feature of the χ _M T vs. T curve in 1 is characteristic of moderate antiferromagnetic interaction and the best fit parameters from 300 down to 2 K are found as J = −78.7 cm⁻¹.     

Interaction between two double layers for Na3PO4 types electrolytes at y0 > yd > 0

Interaction between two double layers for the Na₃PO₄ type electrolytes at y ₀ > y _d > 0 were investigated with the aid of λ parameter methods and the accurate numeral results were given. The maximum of the interaction energies between two double layers for A_v+ B_v- A_{v_ + } B_{v_ - } type electrolytes at y ₀ > y _d > 0 is independent of y ₀, but increases with y _d . The interaction energies between two double layers for NaCl, CaCl₂, FeCl₃, Na₂SO₄ and Na₃PO₄ type electrolytes at y ₀ = 5 and y _d = 2 were compared. If the negative or positive ions for A_v+ B_v- A_{v_ + } B_{v_ - } type electrolytes have the same charge number, the maximum of their interaction energies increases with the charge number of the ions of opposite charge. If the negative or positive ions of the electrolytes have different charge numbers, the relative heights of the maxima of their interaction energies are indefinite. For the in pairs conjugate type electrolytes like CaCl₂ and Na₂SO₄ or FeCl₃ and Na₃PO₄, the larger the charge number of the negative ions of the electrolytes is, the higher the maximum of their interaction energies is. The results for Na₃PO₄ type electrolytes at y ₀ > y _d > 0 can also be applied to FeCl₃ type electrolytes at y ₀ > y _d > 0.