Bestimmung der Stabilit?tskonstanten von mehrkernigen Komplexen mit Hilfe einer spektrophotometrischen Methode

Zusammenfassung Es wurde eine allgemeine Gleichung für die Berechnung der Stabilitätskonstante von Komplexen L _mH_iM_nZ_j (Z=OH^–, usw.) abgeleitet und für Maximumbedingungen der Jobschen Kurve die Schwarzenbachsche graphische Methode so modifiziert, daß sie die allgemeine Bestimmung der Zusammensetzung und Stabilität von Komplexen L _mH_iM_nZ_j ermöglicht.

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Summary A general equation has been derived for the calculation of stability constants of complexes L _mH_iM_nZ_j (Z=OH^–, etc.). The graphic method of Schwarzenbach has been modified for maximum conditions of Job's curve in order to make possible the general determination of the composition and stability of complexes L _mH_iM_nZ_j.

     

Use of Markov Chains in Treating Depropagation in Copolymerization. II. Distribution of Monomer Units in Copolymers

A regular Markov chain is set equivalent to n-component copolymerization (n ≥ 2) with depropagation. It is shown that the elements of the matrix of the average times for first approach M (m_ij), represent the average number of units m_k (k = 1, 2, …, n; k ± j), occupying places between the units m_i and m_j in the macromolecules. These are the average lengths of the blocks, beginning with any monomer unit m_i and ending with any unit m_j, which however do not meet further in the block. For n = 2, the composition of these blocks is fully determined, because they are composed only of one type of units. When, however, n ≥ 3, two or more types of monomer units are included in these blocks. By means of the absorbing Markov chains, expressions for the composition of these blocks when n ≥ 3 are also obtained. In binary copolymerization the diagonal elements of the matrix M (m_ij) give the average lengths of the homoblocks ～ m_i-m_i-…-m_i ～ in the macromolecules. For the n-component copolymerizatior. (n ≥ 3), the elements m_ii do not give this information. Expressions for these lengths in this case may be obtained by additional probability analysis.     

Spectrophotometric investigation of analytically important metal complexes

Summary A convenient way of estimation of composition, molar absorptivity, effective and overall stability constants of complexes M _m Y _i H _j L _n is described.

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Spektrophotometrische Untersuchung von analytisch bedeutenden Metallkomplexen

Zusammenfassung Methoden zur Berechnung der Zusammensetzung, des molaren Extinktionskoeffizienten sowie der effektiven und Brutto-Stabilitätskonstanten von Komplexen der Art M _m Y _i H _j L _n werden beschrieben.

     

Construction of orthogonal subspaces

An orthogonalization procedure is presented that allows construction of at least (n?m) vectors orthogonal to {X_j}, j equals; 1, m, by linear combinations solely among {η_i}, i equals; 1, n, n>m, and 〈X_j/η_i〉≠0. An important application of the procedure is in effective core potential methods for which valence orbitals can be constructed that are orthogonal to the core orbitals and yet involve no component of the core. Thus, a separate calculation for only the valence electrons can be performed without any explicit reference to the core electrons (orbitals).     

Structures and stabilities of 3d-transition metal-benzene organometallic clusters

In the gas phase, we have successfully synthesized organometallic clusters, M_n(benzene)_m (M=3d transition metal atoms), by using a laser vaporization method. The measurements of mass spectra and ionization energies (E_i) have revealed that the organometallic clusters can take two types of structures; layered sandwich structures (m = n + 1) and metal clusters saturatedly covered with benzenes. For early transition metals of Sc, Ti, and V, only the multiple decker sandwich structure clusters were preferentially produced, in which benzene and metal atoms are alternately piled up. For late transition metals of Co and Ni, the metal clusters saturatedly surrounded by benzenes were also produced as well as the sandwich clusters. Furthermore, the E_is of M₁(benzene)₂ (M = Sc-Ni) were systematically measured and their electronic properties will be discussed.     

Optimum conditions of masking

The maximum of the function Ψ_MN = α_M(Y)^-mq α_N(Y)^np[H]iq—jn corresponds to the optimum acidity for masking of the metal ion N with a ligand Y in the presence of metal ion M; M_mH_iL_n and N_pH_jL_a are the complexes of M and N with the reagent ligand L, and α_M(Y) and α_N(Y) are the respective side-reaction coefficients of M and N with Y. The theoretical conditions were compared with practice for precipitation of uranyl oxinate, barium sulfate and calcium oxalate; complexation of iron(II) with 1,10-phenanthroline and aluminium with tiron; and uranyl thenoyltrifluoracetone and silver dithizone extraction. EDTA is used as masking reagent throughout. An extension of the theory to systems with several interfering cations and ligands is shown.     

An investigation of Prussian Blue analogues by Mössbauer spectroscopy and magnetic susceptibility

The Mössbauer spectra and magnetic susceptibilities have been obtained for a series of Prussian Blue analogues of general formula M_j^A[M^B(CN)₆]_k·mH₂O where M^A and M^B are transition metal ions, j and k vary with the oxidation states of M^A and M^B and m typically has values from 8 to 14. The compounds were prepared from the hexacyano acids or with large quaternary ammonium counterions and are therefore not contaminated with alkali cations. In each analogue, A or B is iron and the second metal is Mn, Cu, Co, Cr or Ru. In each case it was possible to assign the site (A or B), oxidation state and spin state to each transition metal ion. This group of compounds are all class II mixed valence species from their colours, but do not show evidence of linkage isomerism or redox changes compared to the starting materials. The Mössbauer linewidths are consistent with the Ludi model of Prussian Blue.     

An objective computer-oriented method for the calculation of formation constants from the formation function. A weighted least-squares curve fitting

A computer program has been developed that calculates, using the weighted least-squares technique, the overall formation constants, B_i, of mononuclear complexes, the standard deviations of B_i, SDV_i, and an estimate of goodness of fit, Goodness-of-Fit Parameter (GOFP), given a set of average ligand numbers, VN_j, the corresponding free ligand concentrations, VA_j, and an error parameter P. The formation function used is ∑(VN_j – i) · (B_i) · (VA_j)ⁱ = 0 where i ranges from O to n with a maximum of 10 and j ranges from O to l with a maximum of 40. The B_i and (B_i – SDV_i) must be positive and GOFP must be either unity or as close to unity as possible. An option is available that allows the computation of P, if it is not provided, so that GOFP is equal or very close to unity. The method has been applied to the formation of the complexes Cadmium-Imidazole, Cobalt(II)-Bis(2-Quinaldylphenyl Ketone), Copper-Ammonia, Silver-4-Aminobutan-1-ol Nitrate, and Copper(II)-Bis(2-Quinaldylphenyl Ketone). The results are quite satisfactory and reliable as compared with other computational techniques. Input data and results for the five complexes mentioned are shown.     

Molar excess volumes of ternary mixtures of nonelectrolytes

Molar excess volumes V^E_ijk of methylenebromide i + pyridine j + β-picoline (k, cyclohexane (i) + pyridine (j) + β-picoline(K), benzene(i)+toluene(j)+1,2-dichloroethane(k), benzene(i) + 0-xylene(j) + 1,2-dichloroethane(k) and benzene(i) + p-xylene(j) + 1,2-dichloroethane(k) mixtures have been determined dilatometrically at 298.15 K. The data have been examined in terms of Sanchez and Lacombe theory and the graph-theoretical approach, and it is found that they are described well by the latter. Self- and cross-volume interaction coefficients V_jk, V_jjk and V_jkk, etc., have also been evaluated and the values utilised to study molecular interactions between the jth and kth molecular species in the presence of the ith in these i + j + k mixtures.     

Classical dependence of polarization on potential energy surface in rotationally inelastic collisions

Quasiclassicol trajectory calculations have been performed for model potential energy surfaces to investigate polarization in (j,m_j) → (j',m_j) integral cross sections For j = 0, it was found that the occurrence of polarization requires an attractive well, and that it be in the collinear configuration Results for j≠ 0 are also presented.     

Iron-57 Mössbauer effect study of the distribution of divalent and trivalent ions in potassium transition metal fluorides having the tetragonal bronze structure

Mössbauer studies are reported for compounds of the type KM^IIM^IIIF₆ (M = first-row transition metal ion, Zn, or Mg) which have the tetragonal bronze structure. The results of this investigation provide evidence that the trivalent ions are located on the 8(j) sites of the bronze structure and that the divalent ions are distributed over both the 8(j) and 2(c) sites.     

Kinetics and mechanism of the Cu(I)/Cu(Hg) electrode reactions in DMSO solutions of halide ions

The electrode reaction Cu(I)/Cu(Hg) in complex chloride, bromide and iodide solutions with DMSO as solvent has been studied at the equilibrium potential by the faradiac impedance method and a cyclic current-step method. The kinetic data refer to the ionic strength 1 M with ammonium perchlorate as supporting electrolyte and to the temperature 25°C. Double-layer data have been obtained from electrocapillary measurements. From the results for the chloride system at [Cl^?]>15 mM it is concluded that the charge transfer is catalysed by ligand bridging at the amalgam and the following parallel reactions predominate: Cl_ads^?-Cu⁺+e^?(am)Cl_ads^?+Cu(am) Cl_ads^?-Cu₂Cl_j^2?j+e^?(am)Cl_ads^?+Cu(am)+CuCl_j^1?j At lower [Cl^?] and in the whole ligand concentration range available in the bromide and iodide systems the impedance measurements indicate a rate-controlling adsorption step. It is suggested that uncharged complex CuL (L^?=halide ion) then forms an adsorbed two-dimensional network on the amalgam surface.     

Distorted-wave calculations for the three dimensional chemical reaction H + H2(v ⩽ 2, j = 0) → H2(v′ ⩽ 2, j′, mj) + H

Calculations of the vibrational—rotational product state population distributions and differential cross sections for the chemical reaction H + H₂(v ? 2, j = 0) → H₂(v′ ? 2, j′, m_j) + H have been carried out on the Porter—Karplus potential energy surface. The vibrationally-adiabatic-distorted-wave (VADW) method has been used. The relative rotational product distributions, differential cross sections and the helicity m_j, dependences of these quantities for the v = 0 reaction agree well with accurate close-coupling results. The absolute integral cross sections are considerably smaller than the accurate quantum values, however. The calculations for the v = 1 reaction agree with the findings of previous sudden quantum, limited close-coupling and quasiclassical theoretical studies and experiments that product H₂(v′ = 1) is more likely to be produced than H₂(v′ = 0). For the reaction with v = 2, it is found that at high translational energies product H₂(v′ = 2) is favoured over H₂(v′ = 1) or H₂(v′ = 0). The VADW differential cross sections for the v = 1 and v = 2 reactions have a similar shape to those of the v = 0 reaction, with backward peaking when summed over all m_j states. The relative rotational distributions for the v = 2, j = 0 → v′ = 2, j and v = 1, j = 0 → v′ = 1, j reactions are also similar to those obtained for the v = 0, j = 0 → v′ = 0, j reaction, with low rotational excitation.     

Nucleation-controlled growth. Observations on (110) twinned polyethylene crystals

The growth of (110) twinned crystals of a sharp fraction of linear polyethylene (M_w/M_n = 1.10) of moderate molecular weight (M_w = 17,000) is followed during crystallization by the isochronous decoration method. New morphological features are observed. The fast-growing tip of our laths presents, in addition to the two (100) facets usually observed, a possibly stable small reentrant (110) corner. This is a situation intermediate between the facies described by Dawson and Keller. Moreover, the slow tip of our laths presents various degrees of asymmetry with respect to the junction plane. A new characteristic length L_n = j/i is introduced to explain our morphological observations on (110) twinned crystals: j is the nucleation rate at a reentrant corner and i the nucleation rate on a smooth facet. Three linear growth rates G_hkl are calculated as a function of the length L of the face (hkl): G_hkl and G_?kl or G′_hkl are respectively the growth rates of a face bordered by two salient corners and by a reentrant corner. A distinction between G_?kl and G′_hkl is introduced to take into account the relative sizes of the two faces of the reentrant dihedral angle. The major points of the discussion concern (i) the stability of the (110) reentrant corner of the fast tip of the lath, (ii) the nearly constant shape of the twinned crystals, (iii) the effects of dislocations incorporated in the fast edge of the laths, and (iv) the various asymmetries observed in the slow tip of our laths. Theories of surface nucleation-controlled growth explain our various morphological observations on (110) twinned PE crystals, and growth usually proceeds in regime II.     

复杂无机离子晶体晶格能的估算

A novel connectivity index ~mG based on adjacency matrix of molecular graphs was proposed as follows:~mG=∑(g_i·g_j·g_k…)~(0.5).The element g_i of adjacency matrix was defined as g_i=(1 Z_i~(1.4))/(1 r_i~(1.4)),where Z_i and r_i are thecharge number and the thermochemical radius of ion i respectively,and the radii r_i for metal ions are taken to be theGoldschmidt radius.The regression analysis by the connectivity index ~1G can provide a high-quality QSPR modelfor the lattice energies of 245 complex inorganic ionic crystal samples.The results imply that the lattice energiesmay be expressed as a linear model of the connectivity index ~1G.For the linear model the correlation coefficient rand the standard error s are 0.9998 and 228.72 kJ/mol,respectively.The cross-validation by the leave-one-outmethod demonstrates that the model is highly reliable from the point of view of statistics.     

Structure cristalline de NaBaPO4

The crystal preparation of NaBaPO₄ is discussed. The space group and cell dimensions are $\text{C2}\text{m}$; a = 9.743(3), b = 5.622(1), c = 7.260(1) Å, β = 90.10(3)°, Z = 4. The main characteristic of the NaBaPO₄ structure consists in a statistical occupation of some special positions (4i) by Na or Ba atoms. The network is built up with PO₄ tetrahedra, NaO₆ octahedra, BaO₁₂ and MO₁₀ polyhedra (M = Na or Ba). The final R value is 0.058.     

A DFT and MP2 Study on the Molecular Structure and Vibrational Spectra of Halogenosubstituted Phosphoryl and Thiophosphoryl Compounds

The molecular geometrical parameters, rotational constants, dipole moments and vibrational infrared properties of a series of phosphoryl compounds (OPX _i Y _j Z _k , X, Y, Z = F, Cl, Br; i+ j + k = 3) and their thio analogs are predicted by density functional and MP2 calculations using the 6-311G(2d,2p) basis set. Both methods yielded similar results. The predicted molecular parameters and the vibrational Raman and infrared spectra agree well with the available experimental data. The Raman Scattering Activities (RSA) and depolarization ratios (Dep) of the molecules are obtained by DFT calculations. Considering the different substitution modes of various halogen atoms, the resultant changes in the geometrical and vibrational properties are discussed. Such studies permit detailed information to be obtained concerning unknown molecules and can define the guidelines for synthesizing molecules of particular characteristics.     

The pseudorotation of cycloheptane—I

The pseudorotation of cycloheptane is described by means of the Fourier expansion of the endocyclic torsion angle ω_i = A sin φ_j + B sin 3φ_j + C sin 5φ_j + D sin 7φ_j; φ_j = Δ/2 + 2πj/7; j = 0, 1,...,6; i = 2j + 4, mod 7 and Δ being a phase angle.The topography of the pseudorotational itineries for the chair/twist-chair and the boat/twist-boat families is discussed. X-ray diffraction data concerning the geometry of 7-membered rings occurring in fused ring compounds are analysed by means of the proposed relationship. The least squares procedure for evaluation of the parameters A, B, C and D is given in an appendix.The calcium salt of cycloheptane car?ylic acid, (C₇H₁₃·COO)₂Ca·5H₂O in solid state, displays disorder closely related to pseudorotation. Preliminary X-ray diffraction data of this structure (to be published elsewhere) are given.     

A study of reorientation effects in CsF—Ar using approximate quantum methods

The EB (exponential Born) and IOS (infinite order sudden) methods are used to calculate a variety of j → j′ and jm → j′m′ integral cross sections and j → j′ differential cross sections for CsF—Ar at E_cm = 87.7 meV. Inelastic rotational cross sections are found to depend primarily on the odd long range parts of the interaction potential. The jm → j′m′ integral cross sections for the quantization axis parallel to the initial relative velocity vector are found to approximately obey the selection rule “Δj + Δm = even” and cross sections for which the orientation of the rotor is left unchanged (i.e. 11 → 11, 11 → 22, and 11 → 33 transitions) are strongly favored over those which are changed for low lying rotational states. Good agreement between the IOS and EB methods is found for most of the scattering quantities calculated.     

Alkyl polyglucoside microemulsion phase behavior

We review several key elements of alkyl polyglucoside (C_mG_n) microemulsion phase behavior. The low solubility of C_mG_n surfactants in oils such as alkanes makes producing C_mG_n microemulsions and subsequent study of their phase behavior difficult. Increasing the solubility of C_mG_n in oil is therefore helpful for the systematic study of C_mG_n-based microemulsion formulations. To this end, the role of cosurfactants in producing microemulsions with water, alkanes, and n-alkyl β-d-glucopyranosides is first discussed. Adding C₁₀βG₁ to mixtures of water–alkane–ethoxylated alcohol surfactants (C_iE_j) produces a region of the three-phase body (a ‘chimney’) that is independent of temperature; thus C_mβG₁ are not completely soluble in the co-oil formed of alkane and C_iE_j at higher temperatures. Then, through a novel approach using oxygenated ether oils (C_kOC₂OC_k), microemulsions are formed with water, C_kOC₂OC_k, and C_mβG₁ and the phase behavior studied as a function of temperature and composition. Increased C_mβG₁ solubility in the more hydrophilic ether oils produces patterns of phase behavior in water–C_kOC₂OC_k–C_mβG₁ mixtures that are identical to those observed in water–alkane–C_iE_j mixtures. Using the water–ether oil–C_mβG₁ mixtures as a base case, the role of C_mG_n surfactant structure in setting C_mG_n microemulsion phase behavior is explored. The solubility of the α-d anomer (n-alkyl α-d-glucopyranosides, C_mαG₁) in water is much less than that of the β-d surfactant, and these solubility boundaries extend to high surfactant and oil concentrations in water–C_kOC₂OC_k–C_mαG₁ mixtures. Adding C_mG₂ compounds to water–C_kOC₂OC_k–C_mβG₁ mixtures shifts the phase behavior to high temperatures, again demonstrating the extreme hydrophilic nature of the sugar headgroup. Finally, adding small amounts of ionic alkyl sulfate surfactants to water–C_kOC₂OC_k–C_mβG₁ mixtures dramatically reduces the total amount of surfactant needed to form a single-phase microemulsion.