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.     

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.     

Proton spin-lattice relaxation in aqueous ionic solutions

The proton spin-lattice relaxation time, T ₁, has been measured for aqueous solutions of sodium, potassium, rubidium and magnesium chlorides up to a concentration of about 4N at 25°c. The sodium and the magnesium chloride solutions were also measured at 60°c and 100°c. The variation of 1/T ₁ is not linear with concentration, at least above about ¼N, in contrast with previous reports [1, 2]. The behaviour depends markedly on the nature of the salt and on the temperature. It is shown that almost the whole of the variation of T ₁ as compared with that of water can be directly and simply related to the corresponding changes in the shear viscosity of the solutions. It is noted that the viscosity correction is better the higher the temperature of the solution.     

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.     

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.     

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.     

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.     

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.     

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.     

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.     

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.     

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.     

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.     

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.     

The correlation of molecular orientation in liquid water by neutron and X-ray scattering

The neutron diffraction structure factor for heavy water at 22°c has been measured for momentum transfers, ?Q, up to a Q of 13 å ^-1. The results have been interpreted by abstracting the molecular structure effects as far as possible and using models for the correlation of orientation of pairs of molecules ranging from completely uncorrelated orientation to that for adjacent molecules in ice I. Neither these nor any of the popular models for the structure of water, nor a non-hydrogen bonded model, fit the neutron diffraction data over the whole range of Q. Nevertheless, information about the molecular-centres structure factor is obtained, especially for Q up to about 3 å ^-1.

The method of analysis is generalized and applied to x-ray diffraction data and in particular to x-ray data for liquid water. It is shown that this method of analysis has some advantages over the conventional one. The effect of correlation of molecular orientation is less than that of molecular structure on x-ray scattering by water and rather more extensive information is obtained for the molecular-centres structure factor than from neutron data—if the conventional assumption of atomic electron clouds is accepted.

A comparison of the x-ray and neutron scattering data for liquid heavy water shows that the two sets of data are reasonably consistent for any of the usual models for water, except for the region of Q between 3 and 5 å ^-1. The molecular-centres structure factor of water has a weak double humped first maximum with peaks at 2·0 å ^-1 and 2·9å ^-1, probably followed by a damped oscillation. This contrasts with atomic liquids but is similar to that found in liquid carbon tetrachloride. The structure of liquid water is not, therefore, necessarily unique or unusual.     

Isotope effects in the tyrosinase catalysed hydroxylation of l-tyrosine methyl derivatives

To investigate isotope effects in the hydroxylation of [3′,5′-²H₂]-α-methyl- and [3′,5′-²H₂]-N-methyl-l-tyrosine, they were synthesised using acid catalysed isotope exchange at high temperature. The kinetic and solvent deuterium isotope effects on V_max and V_max/K_m parameters of tyrosinase in its action on methylated derivatives of l-tyrosine were determined using the non-competitive spectrophotometric method. Lineweaver–Burk plots were used to consider the inhibition type of O-methyl-l-tyrosine, revealing that it is an uncompetitive inhibitor of tyrosinase.     

Application of Brønsted's principle of congruence to n-alkane mixtures

The second virial coefficient of normal methane, ¹²CH₄, has been compared with that of the corresponding deutero compound ¹²CD₄, as well as with the other isotopic molecule, ¹³CH₄. These measurements were performed by means of a differential apparatus over a range of temperature extending from 110°k up to 300°k.     

High pressure: a tool to improve the enzymatic production of glycosides

Naringinase, an enzyme complex that expresses α -l-rhamnosidase and β -d-glucosidase activities in native state, can be used to deglycosylate natural glycosides. The selective inactivation of one of these activities will allow the biosynthesis of different bioactive compounds in a simple, effective and cheap way. In this work, pressure and temperature were the tools used to selectively inactivate the activities expressed by naringinase. The main goal was the identification of pressure–temperature conditions to acquire conditions for the maximization of enzymatic hydrolysis of substrates with different numbers of glycosidic residues. α -l-Rhamnosidase was 32-fold more resistant against inactivation at 250 MPa than at atmospheric pressure. The best pressure condition to reduce β -d-glucosidase inactivation at 75°C was 173 MPa, while in the case of α -l-rhamnosidase inactivation at 85°C, it was above 250 MPa. Moreover, a selective inactivation of β -d-glucosidase activity of naringinase was attained, allowing an easy and cheap method with which to produce prunin and other expensive glycosides. The present work highlights the effect of high pressure on enzyme protection against thermal inactivation, demonstrating its potential as a powerful tool in biosynthesis.     

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.     

A re-examination of the I.R. spectrum of dinitrogen trioxide

Assuming a planar geometry of C _s symmetry and using a Urey-Bradley potential field, the force constants of dinitrogen trioxide have been re-determined within the formalism of Wilson's G-F matrix method. The outcome of the present investigation suggests a new set of force constants some of which are drastically (～ 50 per cent) different than those previously reported. Furthermore, since the i.r. frequencies used in the present investigation were obtained both in the solid state and at low temperatures, the mean amplitudes of thermal vibrations of both ¹⁴N₂O₃ and ¹⁵N₂O₃ are given at 77°k. Finally, it is suggested that more isotopic i.r. data is necessary to ascertain unequivocably the geometry of dinitrogen trioxide.