Correlation for prediction of vapor pressures of pure fluids incorporating renormalization group formulations with corresponding-states principle

A simple correlation for predicting the vapor pressures of coal liquids between the freezing and critical points, and extending to normal fluids, has been developed on the basis of renormalization group theory and phenomenological scaling theory. The Clapeyron equation has been reduced to the integral form

to represent vapor pressure using a generalized correlation developed by Sivaraman et al. (1983) for the prediction of latent heats of vaporization of normal fluids and coal-liquid model compounds. L*, the dimensionless latent heat of vaporization, andΔz, the difference between the compressibility factors of the saturated vapor and liquid, are given by the corresponding-states correlations

and

based on the formulations of Pitzer et al. (1955). A simple expression for the latent heat of vaporization developed by Torquato and Stell (1982) is incorporated into this correlation. The vapor-pressure correlation has been tested successfully for 23 pure-component systems including aromatic and heterocyclic compounds often found in coal liquids and shale oil in the region 0 〈 ε = (T_c-T)/T_c 〈 0.69. The deviations in the predicted vapor pressures are in the range 0.11–5.45%.     

Corresponding states theory and thermodynamic properties of liquid alkali metals

According to phenomenological scaling and the law of corresponding states, reduced coordinates F ^*-T ^*, where F* represents the reduced thermodynamic properties (enthalpy of vaporization, speed of sound, surface tension, saturated liquid density) and T ^* is the reduced temperature, are introduced for the prediction of the thermodynamic properties of alkali metals. Values of the thermodynamic properties from the melting point up to boiling point are correlated. It has been shown that the correlation between reduced thermodynamic properties, as well as with the reduced temperature, can be expressed as a unique straight-line plot with a linear correlation coefficient of 0.9998. The proposed correlation has a simple form for easy calculation, requires only the melting and boiling point parameters, which are usually easy to acquire, and can predict the thermodynamic properties from the melting temperature up to the boiling temperature accurately.     

Interfacial tension and critical wetting phenomena of the binary liquid mixture cyclohexane-acetonitrile near the critical solution temperature

The determination of the capillary parameter for the partially miscible binary liquid system acetonitrile + cyclohexane has been reported. The system has closely matched densities and the data points are affected by gravity only when the fractional change of the temperature from the critical temperature is about 10^–6. The system also exhibits very interesting wetting properties. The interfacial tension has been fitted to a power law =0.061 (T_c-T)^1.26. The effect of doping with water and the instability of the wetting layer, which crucially depends on the interfacial tension, are studied.     

The synthesis and thermodynamic properties of strontium fluoromanganite Sr<Subscript>2.5</Subscript>Mn<Subscript>6</Subscript>O<Subscript>12.5 − δ</Subscript>F<Subscript>2</Subscript>

The existence of the [SrF_0.8O_0.1]_2.5[Mn₆O₁₂] = Sr_2.5Mn₆O_{12.5 ? δ}F₂ compound was established in the SrO-Mn₂O₃-SrF₂ system at 900°C and p(O₂) = 1 atm. The crystal structure of strontium fluoromanganite was determined from the X-ray powder diffraction data, electron diffraction, and high-resolution electron microscopy. It can be described in the monoclynic system with four Miller hklm indices: hklm: H = h a* + k b* + l c ₁ ^* + m q ₁, q ₁, q ₁ = c ₂ ^* = γc ₁ ^* , γ ≈ 0.632, a ≈ a ≈ 9.72 Å, b ≈ 9.55 Å, c ₁ ≈ 2.84 Å, c ₂ ≈ 4.49 Å, monoclinic angle γ ≈ 95.6°. The electromotive force method with a solid fluorine ion electrolyte was used to refine the composition of fluoromanganite and determine the thermodynamic functions of its formation from phases neighboring in the phase diagram (SrMn₃O₆, Mn₂O₃, SrF₂, and oxygen), ΔG°, kJ/mol = ?(111.7 ± 1.9) + (89.5 ± 1.5) × 10^?3 T.     

Relation between the vaporization heat and the first ionization potential in series of liquids at normal boiling point

It is shown that a general relationship exists between the latent heat of vaporization and the first ionization potential for liquids at the normal boiling point. The generalized parabolic relation is:

where Y = In(hcωT_B) and X = In(ΔH_v/RT_B), such that ω is the first ionization potential expressed in reciprocal centimeters; while ΔH_v is the latent heat of vaporization at the normal boiling point temperature T_B.     

Thermal features and thermochemistry of hexachlorohafnates of nitrogen aromatic bases

Hexachlorohafnates of pyridine and its three methyl-substituted derivatives were synthesized and examined by the thermoanalytical methods. The van't Hoff equation employed for the thermogravimetric αvs. T dependencies enabled evaluation of the heats of the thermal dissociation and subsequently enthalpies of formation and crystal lattice energies of the salts. Geometry and energy of formation of HfCl ₆ ^2? was determined at the ab initio Hartree-Fock SCF level, using all electron MINI basis set augmented with standard polarization functions (MINI^*). Electron correlation was considered at the MP2 level. Thermodynamic characteristics for the latter species were also obtained combining ab initio results with those of statistical thermodynamics. The usefulness of theoretical methods in examination of solid state energetics is briefly discussed.     

Equilibrium and relaxation dielectric properties of 1,2-ethanediol

Data on the static relative permittivity (?_s) of 1,2-ethanediol over a temperature range of 243 to 423 K were examined within the framework of the Onsager-Kirkwood-Fröhlich theory. An analysis of the dispersion of the complex relative permittivity ?^*(ω) of ethanol using the Davidson-Cole and Vogel-Fulcher-Tammann was performed empirical equations and the Adam-Gibbs molecular-kinetic theory. The correlation factor g _exp, relaxation time τ _DC, and distribution parameter β were determined. It was established that the parameter β increases from 0.72 to 0.845 as the temperature rises from 243 to 453 K, in contrast to the previous studies, in which it was set temperature-independent. The parameters of the Vogel-Fulcher-Tammann were found to be T ₀₁ = 93.809 K, τ _0VFT1 = 6.96 × 10^?14 s, and U _∞VFT1 ^# = 12.73 kJ/mol. Based on the Adam-Gibbs equation, the number of molecules involved in an elementary event of cooperative structural rearrangement was estimated to be z ^* = 3.1?2.4 within 161–186 K and z ^* = 1.63?1.26 within 243–453 K.     

Study of Condensed Phases,of Vaporization Temperatures of Aluminum Oxide and Aluminum,of Sublimation Temperature of Aluminum Nitride and Composition in an Air Aluminum Plasma

With the Gibbs free energy method, we determine the molar fraction in a plasma at and out of thermal equilibrium consisting of air and aluminum for several percentages in the temperature range of 500–6000 K. We take three temperatures into account (T _rot  = T _h ; T _vib ; T _ex  = T _e ). We indicate the formulae and the numerical method used to perform the calculation taking three condensed phases AlN, Al, Al₂O₃ into account. We show that the air percentage plays a major role to create these phases. We clarify the role plays on the vaporization temperatures and on the sublimation temperature by the non-thermal equilibrium of the plasma. This kind of plasma is found in arc roots, near a wall, in plasmas with a high value of electrical field,… The influence of the pressures until 30 × 10⁵ Pa. is shown on molar fraction of the chemical species, on the vaporization temperatures and on the sublimation temperature. The vaporization temperatures are given versus the thermal non equilibrium versus various mixtures (air, aluminum) and versus the pressures (10⁵ Pa–30 × 10⁵ Pa).     

Vapor pressure and heat capacities of perfluoro-<Emphasis Type="Italic">N</Emphasis>-(4-methylcyclohexyl)piperidine

Heat capacities of perfluoro-N-(4-methylcyclohexyl)piperidine (PMCP) have been measured by low-temperature adiabatic calorimetry. The purity of the compound, its triple-point temperature, and its enthalpy and entropy of fusion have been determined. The saturated vapor pressure was determined by comparative ebulliometry as a function of temperature in the 6.2–101.6 kPa pressure range and 374.2–460.9 K temperature range. The calorimetric enthalpy of vaporization at T = 298.15 K has been measured. The following thermodynamic properties were calculated for PMCP: normal boiling temperature, enthalpy of vaporization Δ_vap H _m ⁰ (T) as a function of temperature, and critical parameters. The enthalpies of vaporization at 298.15 K obtained experimentally and by calculation methods match within their error limits, which validates their adequacy and the adequacy of the Δ_vap H _m ⁰ = f(T) equation as an extrapolation.     

Synthesis,structure and electrochemical properties of some thiosemicarbazone complexes of iridium

Reaction of thiosemicarbazones of salicylaldehyde and 2-hydroxyacetophenone (H₂L¹ and H₂L²) with [Ir(PPh₃)₃Cl] affords complexes of type [Ir(PPh₃)₂(L)(H)] (L = L¹ or L²) in ethanol. A similar reaction carried out in toluene affords the [Ir(PPh₃)₂(L)(H)] complexes along with complexes of type [Ir(PPh₃)₂(L)Cl], where a chloride is coordinated to iridium instead of the hydride. The structure of the [Ir(PPh₃)₂(L²)(H)] and [Ir(PPh₃)₂(L²)Cl] complexes has been determined by X-ray crystallography. Crystal data for [Ir(PPh₃)₂(L²)(H)]: space group, P2₁/c; crystal system, monoclinic; a=12.110(2) Å, b=17.983(4) Å, c=18.437(4) Å, β=103.42(3)°, Z=4; R ₁=0.0591, wR ₂=0.1107. Crystal data for [Ir(PPh₃)₂(L²)Cl]: space group, P2₁/c; crystal system, monoclinic; a=17.9374(11) Å, b=19.2570(10) Å, c=24.9135(16) Å, β=108.145(5)°, Z=4; R ₁=0.0463, wR ₂=0.0901. In all the complexes the thiosemicarbazones are coordinated to the metal center as dianionic tridentate O, N, S-donors and the two triphenylphosphines are trans. The complexes are diamagnetic (low-spin d? ⁶, S=0) and show intense MLCT transitions in the visible region. Cyclic voltammetry on all the [Ir(PPh₃)₂(L)(H)] and [Ir(PPh₃)₂(L)Cl] complexes shows a quasi-reversible Ir(III)–Ir(IV) oxidation within 0.55–0.78 V vs. SCE followed by an irreversible oxidation of the thiosemicarbazone within 0.91–1.27 V vs. SCE. An irreversible reduction of the thiosemicarbazone is also observed within ?1.10 to ?1.23 V vs. SCE.     

Droplet coalescence near liquid/liquid critical points

The state of matter within a fluid layer near a critical point differs profoundly in many aspects from states further removed from the critical point. The interfacial tension tends to vanish, the interface thickens, and long-range concentration fluctuations exist. Because of these effects, critical phenomena have been investigated as possible sources of instability in thin films. Shear-field coalescence studies have been performed between phases of a simple ternary system containing no surfactant as a function of distance from a critical point. The coalescence efficiency was measured as a function of temperature through time dependent photomicrographic analysis of emulsion samples within a shear-field coalescence cell. The apparatus, procedure, and analysis are outlined. No evidence was found for the promotion of coalescence by critical phenomena for values of reduced temperature, T_r = (T − T_c)/T_c, down to 4×10⁻⁴.     

Oligomers-model building in protonation equilibria of sitagliptin

Mixed protonation constants of sitagliptin phosphate at various ionic strengths I (mol kg^?1) in range 0.01 and 0.50 and at 298.15 K are determined using FBSTAC4 and HYPERQUAD nonlinear regression analyses of the potentiometric titration curve. At a low concentration c _L = 1.1 mmol kg^?1 the monomers L, LH, LH₂, LH₃ and LH₄ dominate, while for a concentration range from c _L = 13.7 to 24.7 mmol kg^?1 dimers L₂H₂, L₂H₃, L₂H₄ and L₂H are mainly present. The regression programme has almost no influence on the precision of the protonation constants. The accuracy of the protonation constants log β _qr depends on the accuracy of the group parameters. As two group parameters c _L,0, c _H,T are ill-conditioned in a model, their determination is therefore uncertain: both can significantly cause a systematic error in the estimated common parameters log₁₀β _qr . Fitness tests using regression diagnostics have proven the reliability of the parameter estimates.      

Molecular modelling of polymers, 1. Prediction of critical values of oligomethylenes

Most procedures for the estimation of critical values of oligomethylenes assume these critical values to depend only on the chain length n and/or the molecular weight M. In this work, we introduce new equations for estimating the critical values by inclusion of quantum chemical data calculated by a semiempirical SCF-MO

1 SCF-MO: Self-consistent field, molecular orbital.

method (AM1). These models give a much superior prediction for the critical values such as the normal boiling point T_b, critical temperature T_c, critical pressure P_c, critical valume V_c, surface tension y_b and enthalpy of vaporization ΔH_vp of 18 oligomethylenes. The predictions for polyethylene (with infinite chain length) for the values of T_b, T_c, P_c, V_c, ΔH_vp and y_b are 1029.3 K, 1029.3 K, 1.013 bar, 15723.3 m³/mol, 0 KJ/mol and 0 mN/m, respectively.     

Synthesis and crystal structures of the dioxovanadium complexes [VO2L1] and [VO2L2]2

Two new oxovanadium complexes, [VO₂L¹] (I) and [VO₂L²]₂ (II), where L¹ and L² are the deprotonated forms of 4-bromo-2-[(2-diethylaminoethylimino)methyl]phenol (HL¹) and 4-bromo-2-{[2-(2-hydroxyethylamino)ethylimino]methyl}phenol (HL²), respectively, have been synthesized and characterized by IR spectra and single crystal X-ray diffraction. The crystal of I is monoclinic: space group P2₁/n, a = 14.300(3), b = 7.010(2), c = 15.460(2) ?, ?? = 107.401(2)°, V = 1478.7(5) ?³, Z = 4. The crystal of II is monoclinic: space group P2₁/c, a = 7.270(2), b = 15.373(3), c = 11.893(3) ?, ?? = 99.302(2)°, V = 1311.8(5) ?³, Z = 2. Complex I is a mononuclear dioxovanadium(IV) complex. Complex II is a centrosymmetric dinuclear dioxovanadium(V) complex with a V...V distance of 3.117(2) ?. The Vatom in I is in a distorted square-pyramidal coordination, and that in II is in an octahedral coordination. The difference in the structures of the complexes is largely induced by the hydrogen bonds during the self-assembly process.     

Isotope effects in aqueous systems. V. Partial molal enthalpies of solution of NaCl−H2O−D2O and related systems (5 to 75°C)1

Solvent isotope effects on differential heats of solution of NaCl in HOH and DOD have been measured between 0.01 and 4m and from 5 to 40°C. These data are supplemented by integral heats of solution measured at 0.465m and from 5 to 75°C, and with heats of dilution over the same temperature range. The integral heat measurements include studies on otheralkali halides (KCl, NaI, NaBr), and the dilution measurements include some data for KCl. In the NaCl studies, particular attention was paid to the low-concentration region. Values of the partial molal enthalpiesL ₁ adL ₂ are derived for solution in both isotopic waters, and new values for the isotope effect on the standard enthalpy of solution ΔL ₂ ^s = (ΔH ₂ ⁰ ) _d←w as a function of temperature are reported. Comparisons are made with previous work where possible. In contrast to statements made by earlier authors, examination of the low-concentration data reveals a \(\surd \overline m\) dependence within experimental error.     

Thermal properties of some cyclic disulfides: naphthalene disulfide and diphenylene disulfide

The specific heat, the melting heat and entropy, the vaporization heat of naphtalene disulfide (C₁₀H₆S₂) and of diphenylene disulfide (C₁₂H₈S₂) have been determined by differential scanning calorimetry (DSC).Over the temperature range examined the specific heat may be represented as follows:

where T is the temperature in degrees Kelvin, while melting heat, vaporization heat, melting entropy are for naphtalene disulfide: 3.10 kcal mol^?1, 6.42 kcal mol^?1, 7.87 cal deg^? mol^?1 and for diphenylene disulfide: 4.62 kcal mol^?1, 6.90 kcal mol^?1 and 11.87 cal deg^?1 mol^?1.     

Magnetic properties and low temperature X-ray studies of the weak ferromagnetic monoclinic and trigonal chromium tellurides Cr5Te8

Monoclinic and trigonal Cr₅Te₈ show a transition into the ferromagnetic state with a Curie temperature T_c, which sensitively depends on the actual composition. Monoclinic samples exhibit a lower T_c despite their higher Cr content. This observation is explained on the basis of less effective ferromagnetic superexchange in the monoclinic compounds and the larger number of Cr atoms being antiferromagnetically coupled. Magnetization experiments performed at 5 K demonstrate that the compounds saturate already at rather low magnetic fields. In addition, small values are estimated for the coercitive field H_c as well as for the remanence magnetization both being typical for weak ferromagnetic materials. The values for the saturation magnetization amount to about 72% and 65% for monoclinic and trigonal Cr₅Te₈, respectively. These low values can partially be explained on the basis of antiferromagnetically coupled Cr(III) d³ centers. An additional spin canting is assumed to fully account for the reduced saturation moments. Above 300 K the susceptibilities follow a Curie-Weiss law with large positive values for the Weiss constant and magnetic moments in accordance with a Cr³⁺ 3d³ spin configuration. Low temperature X-ray investigations reveal unusual thermal expansion of the as well as b lattice parameters of the monoclinic and of the a lattice parameter of the trigonal sample, respectively. Near T_c the slope of the thermal expansions changes significantly.     

A nonparametric scaling equation of state for liquids

A new nonparametric scaling equation of state is suggested. The equation correctly describes the p-ρ-T data and heat capacities of liquids close to the critical vaporization points. It was obtained with the use of the S spinodal and the mixing of scaling fields as a first approximation (asymmetric and nonasymptotic terms were ignored). The new equation was used to approximate the data on ⁴He, C₂H₄, and H₂O in the critical region. The results showed that it correctly described the critical behavior of thermodynamic functions, including isochoric heat capacity, not only in the asymptotic but also over a fairly wide density region at the critical point. The suggested equation of state describes the p-ρ-T data with the same error as the Schofield parametric equation of state. The new equation, however, better reproduces the behavior of heat capacities and is much simpler to use. As distinct from the Schofield equation, the new equation, like classic equations of state, allows the spinodal to be determined from the (?p/?v) _T = 0 condition at T < T _c .     

Spectroscopic and electrochemical properties of mixed-ligand cycloplatinated complexes based on 2-(2-thienyl)pyridine and 2-phenylpyridine with 1,10-phenantroline and its 1,4-diazine derivatives

A comparative study of dipyrido-and dibenzo-substituted 1,4-diazines {dipyrido[f,h]quinoxaline (dpq), dipyrido[a,c]phenazine (dppz), 6,7-dicyanodipyrido[f,h]quinoxaline (dicnq), dibenzo[f,h]quinoxaline, dibenzo[a,c]phenazine, 6,7-dicyanodibenzo[f,h]-quinoxaline}, o-phenantroline (phen), and also of the complexes [Pt(N∧C)(N∧N)]⁺[(N∧C)^? are deproronated forms of 2-phenylpyridine and 2-(2-thienyl)pyridine; (N∧N) is ethylenediamine, phen, dpq, dppz, dicnq] was carried out by the methods of ¹H NMR, electronic absorption, and emission spectroscopy and by cyclic voltammetry. It was found that in frozen solutions of [Pt(N∧C)·(N∧N)]⁺ complexes the photoexcitation energy decay from two lowest in energy electronic excited states has isolated character and is localized on {Pt(N∧C)} and {Pt(N∧N)} metal-complex fragments: (d-π _N∧C ^* ) and (d-π _phen ^* ) [(N∧N) = phen, dpq, dicnq)] or (d-π _N∧C ^* ) and (π-π _diaz ^* ) [(N∧N) = dppz]. Thermal quenching of the luminescence from the (d-π _phen ^* ) and (π-π _diaz ^* ) states gives rise to luminescence of the complexes in liquid solutions at 293 K only from the (d-π _N∧C ^* ) state.