Improved one-centre wave functions for the hydrogen and methane molecules

Corrections are made to the Joy-Parr hydrogen and the Saturno-Parr methane one-centre wave functions and the functions are accurately reminimized with respect to the energy. The electronic wave functions and total molecular energies are obtained for various internuclear distances and the equilibrium internuclear distance and the breathing force constant determined. Three methods for calculating the force constant are given and compared. The equilibrium bond length for hydrogen is found to be 1·38 a.u. (experimental, 1·40 a.u.) and the force constant 6·33 md/å (experimental, 5·75 md/å). For methane the equilibrium C-H distance is found to be 2·014 a.u. (experimental, 2·05 a.u. and the force constant 25·8 md/å (experimental, 23·5 md/å). The total computed molecular energies for the equilibrium configurations of hydrogen and methane are -1·1605 a.u. (experimental, -1·175 a.u.) and -39·8444 a.u. (experimental, -40·51 a.u.) respectively.     

Potential energy surfaces for the Walden inversion reaction

A semi-empirical valence bond calculation of potential surfaces for the gas phase reaction between methyl bromide and chloride ion is described. The system is treated in a four participant electron approximation with precautions to include the effects of orthogonalization to the core electrons not involved in bond formation during reaction. The core is taken to include the methyl group as a single fragment whose valence state energy is determined by hybridization at the carbon atom. The qualitative features of the surface are confirmed by a less extensive CNDO calculation.

The lowest potential surface is found to have a central dip, the minimum energy being 0·98 ev below the energy of the reaction products when the C-Cl distance is 3·60 a.u., the C-Br distance 4·11 a.u., and the H-C-Br angle 86°. Analogy with classical two-body scattering suggests that at incident energies of less than 2 ev, the reaction cross section is of the order of 10(1 + 1/E) å ², where E, the initial energy of relative motion, is in ev.     

Spectrophotometric Studies of the Energy Consumed During Oxidative Degradation of D-Fructose

ABSTRACT

Mechanistic investigation of the oxidative degradation of d-fructose (D-Fruc) has been studied by spectrophotometric technique. Molecular mechanics (MM +) calculations suggest that the potential energy (PE/kcal mol^?1) of the d-fruc (opening structure) is at least three (3.71) times more stable than the PE of the cycling structure of the same matrix. The oxidation constant (K _ox) of the anionic form of the d-Fruc (Fruc-NaOH) is about seven times greater than that of the protonated form (Fruc-H₂SO₄). Therefore, the anionic form is more highly oxidizable than is the cationic form of this matrix. The limit of detection can be as low as 18 ppm (mg L^?1) of d-Fruc. This is about 60 times lower than the blood sugar level (BSL) or 100 times lower than that reported previously. The proposed procedure was applied successfully for the oxidation of D-Fruc in uni-fructose powder. The anionic form of D-Fruc (Fruc-NaOH) has the ability to store energy about 744.72 kJ g^?1 h at 608 nm in a condensed lightweight form. Kinetic parameters of the oxidative degradation of the anionic form of D-Fruc at different concentration were deduced. A number of models were used to evaluate the kinetic parameters. The mechanism of the degradation of D-Fruc is explained on the basis of kinetic parameters.     

Ernest Roy Davidson: A career of distinction

A simple method is described for the production of Fortrat diagrams during computation of rotational band contours. Assignments of rotational details in the 0-0 bands of the electronic transitions of phenol at 2750 å and aniline at 2938 å are made with the aid of Fortrat diagrams. Rotational features which may be common in type A and B bands in the electronic spectra of large asymmetric rotor molecules are discussed.     

Reflections on Ernest Roy Davidson: the UW years 1962–1984

In the following research acetylation as an unexplored factor in the anomeric effect in carbohydrate chemistry has been examined. Crystallographic data for methyl glycosides and their acetates have been compared and discussed. Some of the methyl glycosides form hydrogen bonding with the participation of acetal oxygen atoms. This seems to have the most significant influence on the structural diagnostic parameters for anomeric effect.

Abbreviations: Me-α-Glc: methyl α-D-glucopyranoside; Me-β-Glc: methyl β-D-glucopyranoside; Me-α-Gal: methyl α-D-galactopyranoside; Me-β-Gal: methyl β-D-galactopyranoside; Me-α-Man: methyl α-D-mannopyranoside; Me-β-Man: methyl β-D-mannopyranoside; Ac-Me-α-Glc: methyl 2,3,4,6-tetra-O-acetyl-α-D-glucopyranoside; Ac-Me-β-Glc: methyl 2,3,4,6-tetra-O-acetyl-β-D-glucopyranoside; Ac-Me-α-Gal: methyl 2,3,4,6-tetra-O-acetyl-α-D-galactopyranoside; Ac-Me-β-Gal: methyl 2,3,4,6-tetra-O-acetyl-β-D-galactopyranoside; Ac-Me-α-Man: methyl 2,3,4,6-tetra-O-acetyl-α-D-mannopyranoside; Ac-Me-β-Man: methyl 2,3,4,6-tetra-O-acetyl-β-D-mannopyranoside; GIPAW (Gauge Including Projector Augmented Waves) calculations: a DFT based method used for calculating nuclear magnetic resonance parameters; CP/MAS NMR: cross-polarisation (CP) magic angle spinning (MAS) NMR spectroscopy; δ_ss: chemical shift in ¹³C CP/MAS NMR spectrum; δ_t: theoretical chemical shift: as derived from GIPAW DFT; dis: distorted multiplet in ¹H NMR spectrum.     

Assignment of a perturbation in the FT-ICLAS spectrum of 12C2H2 around 12 709.5 cm−1

The vibrational state perturbing the J = 17 and 18 rotational states of the zero-order v ₁ + 3v ₃ state of ¹²C₂H₂ is assigned to the state with vibrational energy predicted at G _ν = 12 685.1 cm^?1 using the cluster model (El Idrissi, M. I., Liévin, J., Campargue, A. and Herman, M., 1999, J. chem. Phys., 110, 2074). The assignment is discussed also in terms of the very special pressure shift behaviour demonstrated previously for absorption lines reaching these levels (Herregodts, F., Hepp, M., Hurtmans, D., Vander Auwera, J. and Herman, M., 1999, J. chem. Phys., 111, 7961). The experimental information arising from a set-up newly running at ULB, called FT-ICLAS brings decisive information in the assignment process. This set-up is described briefly.     

Ab initio calculation of force constants and equilibrium geometries in polyatomic molecules

The force constants and equilibrium geometry of water were calculated ab initio from Hartree-Fock self-consistent field wavefunctions using the force method, and a 53/31, a 73/3 + 1 and a 95/41 + 2 gaussian lobe basis set. The force method proved to be very economic and numerically accurate.

The calculated values agree well with the experimental ones. Especially good is the agreement for the interaction constant F_rα . Calculated force constants for the 95/41 + 2 basis are: F_r = 9·158 mdyn/å, F_α = 0·8513 mdyn/å, F_rα = +0·3007, F_rr = -0·1724; the experimental values from isotope frequencies are: F_r = 8·456, F_α = 0·762, F_rα = +0·246, F_rr = -0·100 mdyn/å. The agreement in the geometry is also good for the 95/41 + 2 basis r _e = 0·9518 å, α = 107·49°, and the experimental r _e = 0·9572 å, α = 104·52°.

Force constants were found to be quite insensitive to variation in the basis functions, all three sets giving almost the same result. On the other hand, the dipole moment derivative is very sensitive.     

50 years at the forefront of Physics

Mathemtical Techniques and Physical Applications. By J. Killingbeck and G. H. A. Cole. (Amdemic Press, 1971.) [Pp. xiv + 715.] £7£00. Scope: Textbook; reference. Level: Postgraduate; undergraduate.

Group Theory in Solid-state Physics. By H. W Streitwolf (Macdonald, 1971.) [Pp. 248.] £5·00. Scope: Textbook. Level: Postgraduate.

Statistical Physics. By Ya. P. Terletskii. (North-Holland, 1971.) [Pp xv+279.] $6·30. Scope: Textbook. Level: Postgraduate; undergraduate.

Ubsersichtsbeiträge zur Gasdynamik. Edited by E. Leiter and J. Zierep. (Springer-Verlag, 1971.) [Pp. 386.1 $40·70. Scope: Treatise. Level: Specialist/postgraduate.

Classical Theory of Particles and Melds. Vol. I and Vol. II. By K. H. Ruei. (University Press, Taiwan, Republic of China, 1971.) [Pp.: Vol. I, xxiii + 359; Vol. II, xxvi + 424.] Scope: Textbook. Level: Postgraduate; undergraduate.

Topics in Mathematical Physics. Vol. II: Spectral Theory and Wave Processes. By M. Sh. Birman. (Consultants Bureau, 1971.) [Pp. v + 121.] $14·00. Scope: Treatise. Level: For specialists only.

An Introduction to the Theory of Electromagnetic Waves. By A. C. Hewson. (Longman, 1971.) [Pp. viii+ 115.] £ 1·60. Scope: Textbook. Level: Undergraduate.

Modern Physics and Quantum Mechanics. By Elmer E. Anderson. (W. B. Saunders Co. Ltd., 1971.) [Pp. xi+430.] £6·20. Scope: Textbook. Level: Undergraduate.

Polarized Light and Optical Measurement. By Clarke and Grainqer. (Pergamon Press, 1971.) [Pp. viii+ 187.] £3·50 ($9·50.). Scope: Treatise. Level: Specialist/postgraduate.

Phenomena in Ionized Gases 1971. Edited by R. N. Franklin. (Donald Parsons, 1971.) [Pp. xl+450.] £12·00.

Technology Today. Edited by Edward de Bono. (Routledge &; Kegan Paul Press, 1971.) [Pp. xii+ 144.] Cloth edition £1·75; Paperback 50p. Scope: Survey. Level: General reader.

Diffusion Data. No. 1. Edited by DR. F. H. Wohlbier. (Trans Tech Publications, 1971.) [Pp. 289.] Scope: Library (reference). Level: Specialist/postgraduate.     

Synthesis of deuterium-labelled halogen derivatives of L-tryptophan catalysed by tryptophanase

The isotopomers of halogen derivatives of l-tryptophan (l-Trp) (4′-F-, 7′-F-, 5′-Cl- and 7′-Br-l-Trp), specifically labelled with deuterium in α-position of the side chain, were obtained by enzymatic coupling of the corresponding halogenated derivatives of indole with S-methyl-l-cysteine in ²H₂O, catalysed by enzyme tryptophanase (EC 4.1.99.1). The positional deuterium enrichment of the resulting tryptophan derivatives was controlled using ¹H NMR. In accordance with the mechanism of the lyase reaction, a 100% deuterium labelling was observed in the α-position; the chemical yields were between 23 and 51%. Furthermore, β-F-l-alanine, synthesized from β-F-pyruvic acid by the l-alanine dehydrogenase reaction, has been tested as a coupling agent to obtain the halogenated deuterium-labelled derivatives of l-Trp. The chemical yield (～30%) corresponded to that as observed with S-methyl-l-cysteine but the deuterium label was only 63%, probably due to the use of a not completely deuterated incubation medium.     

The equilibrium geometry of the SC3H radical: an ab initio study

The SC₃H radical is known by experiment to have a linear equilibrium structure, but even rather high-level ab initio computations give a bent equilibrium geometry. A theoretical study of the SCCCH radical has been carried out in order to analyse the influence of several factors in the computed equilibrium structure. Quadratic configuration interaction QCISD(T) and restricted coupled cluster RCCSD(T) computations have been performed in combination with large basis sets. Spin-orbit effects have been taken into account through the Breit-Pauli Hamiltonian using multi-configuration SCF and configuration interaction wavefunctions. Our final results indicate that the equilibrium structure must be linear, in agreement with the experimental studies [McCarthy, M. C., Vrtilek, J. M., Gottlieb, C. A., Wang, W., and Thaddeus, P., 1994, Astrophys. J., 431, L127; Hirahara, Y., Ohshima, Y, and Endo, Y, 1994, J. chem. Phys., 101, 7342]. Both spin-orbit and electron correlation effects appear to be of comparable importance, but an adequate computation of the correlation energy has been much more difficult and has ultimately required basis set extrapolations.     

The anomalous temperature dependence of the sound velocity in water

The quantum yields of naphthalene vapour fluorescence at 225°c and of phenanthrene vapour fluorescence at 365°c excited by the Hg 313 μ line are independent of concentration up to 0·014 and 0·007 moles/l. respectively; this is attributed to fast dissociation relaxation of the excimer at these temperatures.

The fluorescence of naphthacene vapour excited at temperatures of 355–435°c by the group of Hg lines at 365 μ decreases with increasing pressure at pressures below that at which absorption of the incident radiation is virtually complete, and is attributed to a combination of self-quenching and reabsorption of fluorescence. An analysis of the data for the limiting cases of complete and negligible fluorescence reabsorption provides upper and lower limits for self-quenching constant which are consistent with unit collisional quenching efficiency and a lifetime of 5·3 ± 2·2 + 10^-9 sec at 355°c.     

The structure of galvinoxyl,a stable phenoxyl radical

The molecular structure and packing in crystalline galvinoxyl, a stable phenoxyl radical, have been determined by x-ray diffraction from two independent sets of data. The molecules pack as discrete units separated by normal van der Waals contacts. The molecule shows twofold rotation symmetry in the crystal. The observed bond angle at the methine carbon is 134 degrees, and the phenyl groups are twisted by 12 degrees. The radical C-O distance is 1·27 å. The tertiary butyl groups are found in a fully staggered conformation, including hydrogen atoms.     

Singlet–triplet transitions in three-atomic molecules studied by time-dependent MCSCF and density functional theory

Singlet–triplet transition moments and phosphorescence lifetimes have been calculated for the three-atomic molecules HCN, O₃, H₂O, H₂S, GeF₂, GeCl₂ and GeBr₂ by time-dependent density functional theory (DFT) utilizing quadratic response functions in order to qualify DFT which recently has become available for studies of this kind [TUNELL, I., Rinkevivius, Z., VAHTRAS, O., SALEK, P., HELGAKER, T., and ÅGREN, H., 2003, J. chem. phys., 119, 11024]. Comparison with ab initio and experimental data indicates that DFT exhibit results of similar quality as explicitly correlated methods which indicates that it indeed is a viable approach for singlet–triplet transitions. O₃ provides an intriguing example in that a systematic investigation of the singlet–triplet transition moment of its Wulf band indicates a clear advantage of the DFT technique despite the multiconfigurational character of the electronic structure of this molecule. The electronic spin–spin coupling and the hyperfine nuclear coupling constants have also been calculated in order to further characterize the triplet state in the spectra of the investigated systems.     

Thermodynamic properties of clathrates: I. The heat capacity and entropy of argon in the argon quinol clathrates

Measurements have been made of the heat capacity C_p from ～ 13°k to ～ 273°k of five clathrates of argon and β-quinol. The argon content ranged from ～ 20 per cent to ～ 80 per cent of the maximum possible amount. Over much of the temperature range studied, C_p proved to be a linear function of the argon content, but from 13°k to 20°k, and from 50°k to 100°k the relation between C_p and argon content is obscure, and may, in fact, be non-linear. Estimates have been made of the contribution to C_p made by a mole of argon in the temperature region where C_p is a linear function of composition, and these experimental values have been compared with those calculated according to the theory of J. H. van der Waals, which is based on the cell model of Lennard-Jones and Devonshire. The agreement between theory and experiment is satisfactory.     

The McConnell equation for E.S.R. spectra of symmetrical diazanaphthalenes

Electron spin resonance spectra of the six symmetrical diazanaphthalene anions in N,N-dimethylformamide have been measured. The anions were generated within the microwave cavity by electro-reduction of the parent compound. The McConnell equation a _H = Q _CC ^H ρ C has been tested for the diazanaphthalenes with ρ C values calculated by the Hückel method and by the Pariser-Parr-Pople S.C.F. method with variable resonance integrals.     

Cooperative binding of drugs on human serum albumin

In order to explain the adsorption isotherms of the amphiphilic penicillins nafcillin and cloxacillin onto human serum albumin (HSA), a cooperative multilayer adsorption model is introduced, combining the Brunauer–Emmet–Teller (BET) adsorption isotherm with an amphiphilic ionic adsorbate, whose chemical potential is derived from Guggenheim's theory. The non-cooperative model has been previously proved to qualitatively predict the measured adsorption maxima of these drugs [Varela, L. M., García, M., Pérez-Rodríguez, M., Taboada, P., Ruso, J. M., and Mosquera, V., 2001, J. chem. Phys., 114, 7682]. The surface interactions among adsorbed drug molecules are modelled in a mean-field fashion, so the chemical potential of the adsorbate is assumed to include a term proportional to the surface coverage, the constant of proportionality being the lateral interaction energy between bound molecules. The interaction energies obtained from the empirical binding isotherms are of the order of tenths of the thermal energy, therefore suggesting the principal role of van der Waals forces in the binding process.     

Effect of short- and long-range forces on the properties of fluids. III. Dipolar and quadrupolar fluids

Using realistic pair potential models for acetone and carbon dioxide, both the spatial and orientational structure of these two typical multipolar (i.e. dipolar and quadrupolar, respectively) fluids is investigated in detail by computing the complete set of the site-site correlation functions, multipole-multipole correlation functions, and selected 2D correlation functions. The effect of the range of interactions on both the structural and thermodynamic properties of these fluids is studied by decomposing the potential into short- and long-range parts in the same manner as for water [Kolafa, J. and Nezbeda, I., 2000, Molec. Phys., 98, 1505; Nezbeda, I. and Lísal, M., 2001, Molec. Phys., 99, 291]. It is found that the spatial arrangement of the molecules is only marginally affected by the long-range forces. The effect of the electrostatic interactions is significant at short separations and cannot be neglected but nevertheless the overall structure of the short-range and full systems is similar as well as their dielectric constants. These findings are also reflected in the dependence of the thermodynamic properties on the potential range with the short-range models providing a very good approximation to those of the full system.     

An attempt to find a connection between the atomic distribution in liquid and solid metals

The distance of nearest neighbours r ₁, as well as the ‘reduced’ densities extrapolated to 0°k of liquid and solid metals are compared. Some liquids are close-packed at 0°k. With increasing temperature the degree of atomic misfit increases while r ₁ stays constant or even decreases, contrary to the behaviour in the solid phase.     

Electron paramagnetic resonance characterization of gamma irradiation damage centers in powder of L-(+)-tartaric acid,N-acetyl-L-alanine and 1-methyl-L-histidine

The electron paramagnetic resonance (EPR) of γ-irradiated powders of l-(+)-tartaric acid, N-acetyl-l-alanine and 1-methyl-l-histidine were investigated at room temperature. Radiation damage centers are attributed to HOOCCH(OH)?(OH)COOH, CH₃?HCOOH and ?CH₂?HCOOH radicals. The spectra were computer-simulated. Hyperfine structure constants and g-values were determined for these three radicals. The unirradiated samples showed no EPR signal. Some spectroscopic properties and suggestions concerning the possible structure of the radicals are discussed in this paper.     

Enzymatic synthesis of some 15N-labelled l-amino acids

Our group has developed a stereospecific enzymatic method, which is very efficient for the in vitro synthesis of l-[¹⁵N]serine, l-[¹⁵N]methionine and l-[¹⁵N]glutamic acid. These amino acids were prepared from the corresponding α -ketoacids in the suitable enzymatic systems. The bacterial NAD-dependent amino acid dehydrogenases alanin dehydrogenase, leucin dehydrogenase and glutamate dehydrogenase were used as catalysts. Glucose dehydrogenase was used for the regeneration of NADH and ¹⁵NH₄Cl as isotopically labelled material at 99 at.% ¹⁵N. All reactions are inexpensive and easy to perform on a synthetically useful scale (1-10g) giving high yields of l-amino acids. The ¹⁵N isotope content was determined by mass spectrometry.