A new method of estimating monomer reactivity ratios in copolymerization by linear regression methods

Sequential gas-liquid chromotographic analysis of the reaction mixture throughout a copolymerization reaction in conjuction with the improved curve-fitting I (integrated form) method, which accounts for measurements errors in both variables, allows accurate estimation of the monomer reactivity ratios. In this article an alternative method is presented for estimating r values in copolymerization with linear regression only, which is especially suited to cases in which one or two of the r values is close to 1. In these cases the improved curve-fitting I method tends to converge slowly because of the numerical instability of the integrated copolymerization equation. The use of the new method is illustrated for the estimation of the r values for ethylene and vinyl acatate in benzene at 35 kg/cm² and 62°C. The linear regression method was also tried on other copolymerizations and the results are compared with those obtained from the improved curve-fitting I method. The limits of the applicability of the linear regression method were determined by simulated sequential sampling experiments. It appears that the new method is applicable when the product of the r values is between 0.001 and 2, provided both monomer conversions are large enough compared with the measurements error.     

Novel method of self‐interaction corrections in density functional calculations

It is demonstrated that the commonly applied self‐interaction correction (SIC) used in density functional theory does not remove all self‐interaction. We present as an alternative a novel method that, by construction, is totally free from self‐interaction. The method has the correct asymptotic 1/r dependence. We apply the new theory to localized f electrons in praseodymium and compare with the old version of SIC, the local density approximation (LDA) and with an atomic Hartree–Fock calculation. The results show a lowering of the f level, a contraction of the f electron cloud and a lowering of the total energy by 13 eV per 4 f electron compared to LDA. The equilibrium volume of the new SIC method is close to the ones given by LDA and the older SIC method and is in good agreement with experiment. The experimental cohesive energy is in better agreement using the new SIC method, both compared to LDA and another SIC method. © 2001 John Wiley & Sons, Inc. Int J Quant Chem 81: 247–252, 2001     

Electronic structure of long cumulene chains

The analysis of the equations of the unrestricted Hartree–Fock (UHF) method for polyenes C_NH_N+2 with even and odd N » 1 is carried out. The equations of the UHF method are shown to be the same in both cases. The comparison of the UHF method with the extended Hartree–Fock (EHF) method applied to large systems is performed. The ground state and π-electron spectra of long cumulene chains C_NH₄ are treated by the EHF Method. The end effects are taken into consideration. It is shown that the EHF method gives a finite value of the first optical transition frequency and, at the same time, zero value of torsion barrier of end CH₂–groups in long cumulene chains (N → ) in contrast to previous calculations of cumulenes by the Huckel method and the restricted Hartree–Fock method.     

Rapid Prediction of the Hydrogen Bond Cooperativity in N‐methylacetamide Chains

A method is proposed to rapidly predict the hydrogen bond cooperativity in N‐methylacetamide chains. The parameters needed are obtained from the fittings to the hydrogen bonding energies in the formamide chains containing 2 to 8 monomeric units. The scheme is then used to calculate the individual hydrogen bonding energies in N‐methylacetamide chains containing 2 to 7 monomeric units. The cooperativity predicted is in good agreement with those obtained from MP2/6‐31+G** calculations by including the BSSE correction. Our scheme is further employed to predict the individual hydrogen bonding energies in larger N‐methylacetamide chains containing up to 200 monomeric N‐methylacetamide units, to which the MP2 method cannot be applied. Based on our scheme, a cooperative effect of over 170 % of the dimer hydrogen bonding energy in long N‐methylacetamide chains is predicted. The method is also applied to heterogeneous chains containing formamide, acetamide, N‐methylformamide, and N‐methylacetamide. The individual hydrogen bonding energies in these heterogeneous chains are also in good agreement with those obtained from MP2 calculations with the BSSE correction, further demonstrating that our method is reasonable.     

Development of a liquid chromatography/tandem-mass spectrometry assay for the simultaneous determination of teneligliptin and its active metabolite teneligliptin sulfoxide in human plasma

Teneligliptin is a recently developed dipeptidyl peptidase-4 (DPP-4) inhibitor for the treatment of type 2 diabetes mellitus. To study simultaneous pharmacokinetics of teneligliptin and its major active metabolite, teneligliptin sulfoxide in human plasma, we developed and validated a LC-MS/MS method. The analytes were detected in the positive mode using multiple reaction monitoring (teneligliptin: m/z 427.2→243.1; teneligliptin-d₈: m/z 435.2→251.3; teneligliptin sulfoxide: m/z 443.2→68.2). The method demonstrated accuracy, precision, and linearity over the concentration range of 5 to 1000 ng/mL for teneligliptin and 2.5 to 500 ng/mL for teneligliptin sulfoxide. The developed method is the first fully validated method capable of simultaneous determination of teneligliptin and its active metabolite, teneligliptin sulfoxide in plasma. The suitability of the method was successfully demonstrated in terms of quantification of teneligliptin and teneligliptin sulfoxide pharmacokinetics in plasma samples collected from healthy volunteers. The measurement of plasma metabolite/parent ratio of teneligliptin was feasible by this method.     

TLC Based Method for Standardization of Pongamia pinnata (Karanj) Using Karanjin as Marker

Pongamia pinnata Linn. (Papilionaceae) seeds have gained great commercial and industrial importance owing to their high oil content. Presently, there is no appropriate TLC based method available for standardization of P. pinnata. A simple, robust and reproducible TLC method for the determination of Karanjin is reported in the seeds of P. pinnata. The method involves separation of components by TLC on pre-coated silica gel G 60 F₂₅₄ plates developed on toluene: ethyl acetate (7:3 v/v) and detection at 260 nm in absorbance mode. The sensitivity of the method was found to be 100 ng. The linearity range was 50–300 ng. Four samples of P. pinnata from different geographical locations were tested for their karanjin content using the developed method. The proposed method was found to be robust, precise, and accurate, it therefore holds potential for detection, monitoring and quantification of karanjin in Pongamia pinnata.

     

ToBaD: A method for the estimation of torsion barriers from crystal structure data; conformational analysis of N,N-dimethylaniline and derivatives

A new method for the estimation of torsion barriers and its application to conformational analysis is presented. This method, the ToBaD method (method of the torsion barrier derivative), makes use of crystal structure data. It is based on the assumption that the conformation of a compound in the crystalline phase must be very close to a (local) minimum energy conformation of this compound in the gas phase. The ToBaD method is demonstrated for the rotation of the phenyl-N bond in N,N-dimethylaniline. Two geometries of this compound are handled separately: one in which the nitrogen substituents are in a pyramidal or sp³ geometry, and the other in which the nitrogen atom and its substituents are coplanar (the sp² geometry). It is predicted, by means of the ToBaD method, that for both geometries the conformation in which the nitrogen lone pair or p orbital is perpendicular to the aromatic ring is the lowest energy conformation. © 1994 by John Wiley & Sons, Inc.     

Homotopy analysis method to study a quadrupole mass filter

The homotopy analysis method (HAM) is applied to study the behavior of a hyperbolic rods of quadrupole mass filter and a sinusoidal potential form V_ac cos(Ωt). Numerical computation method of a 20th‐order HAM is employed to compare the physical properties of the confined ions with fifth‐order Runge–Kutta method. Also, comparison is made for the first stability region, the ion trajectories in real time, the polar plots, and the ion trajectory in x ? y plan. The results show that the two methods are fairly similar; therefore, the HAM method has potential application to solve linear and nonlinear equations of the charge particle confinement in quadrupole field. Copyright © 2012 John Wiley & Sons, Ltd.     

Computation of the Electronic and Spectroscopic Properties of Carbohydrates Using Novel Density Functional and Vibrational Self-Consistent Field Methods

ABSTRACT

A novel density functional method is presented for the calculation of electronic and thermodynamical properties of oligosaccharides. This method, termed K2-BVWN, offers two advantages; it scales as N ³, where N is the number of basis functions, and there are only two adjustable parameters. The current density functional method is tested in terms of reproducing high level gas phase ab initio calculations in eleven low energy conformers of D-glucopyranose including exo-anomeric and different hydroxymethyl orientations (G ^?, G ⁺, and T). The K2-BVWN method is also tested in terms of reproducing the spectroscopic features of D-glucopyranose and D-mannopyranose (α/β) as compared with both a vibrational self-consistent field calculation (VSCF) as well as experimental infrared spectroscopy. The VSCF calculations offer the advantage that it is possible to include higher order mode coupling and anharmonic effects directly into the calculation of the vibrational frequencies. In general, the K2-BVWN method reproduces the ab initio energetic trends of the different conformers of D-glucose. While the absolute energies are not the same between the ab initio and the K2-BVWN method, both methods do predict a preference for the α-anomer in the gas phase (0.4 kcal/mol ab initio, 0.0 – 0.5 kcal/mol K2-BVWN). The K2-BVWN method was able to reproduce the experimental and VSCF calculated spectrum of both D-glucopyranose and D-mannopyranose in the frequency range between 1500 – 800 cm^?1. Because the current density functional method is both relatively quick and accurate, it represents a significant advancement in the development of oligosaccharide force fields.     

Determination of phenamacril residues in flour and rice based on Z‐Sep+ using ultra‐high‐performance liquid chromatography–tandem mass spectrometry

Phenamacril is a new broad‐spectrum fungicide that is commonly used for the control of fungal diseases in wheat and rice. In this study, ultra‐high‐performance liquid chromatography–tandem mass spectrometry was used to establish a method for analyzing the residual phenamacril in flour and rice based on the improved QuEChERS (quick, easy, cheap, effective, rugged and safe) method using Z‐Sep+ as the adsorbent in the pre‐treatment process. The average recovery of phenamacril in flour and rice was 82.2–96.0%, the relative standard deviation was 2.1–5.6% and the limit of quantification was 0.5 μg/kg. The accuracy and sensitivity of this method meet the requirements for residue analysis. The method was applied to commercially available flour and rice samples, and the detected concentrations of phenamacril were 0.005–0.033 mg/kg. This method provides technical support for the safety evaluation of phenamacril.     

Determination of Specific Refractive Index Increment （dn/dc）_μ at a Constant Chemical Potential,for Solutions of Polymer in Mixed Solvents by the GPC Method

A new chromatographic method is described for the determination of specific refractive index increment(dn/dc)μ at a constant chemical potential,for polymer/mixed solvent systems.In this method the(dn/dc)is obtained by measuring the areas of solvated-polymer peaks when the mixed solvent is used as an eluent.Values of(dn/dc)μ for the poly(dimethylsiloxane)(PDMS)-benzene-methanol system,determined by the proposed method are in good agreement with those determined by the conventional dialysis method.The new approach has the advantages of simplicity,fast speed,and high reproducibility.The experimental results for stearic acid-chloroform-methanol system show that this method can also be applied to nonpolymer/mixed solvent systems for the determination of(dn/dc)μ.     

A fast adaptive multigrid boundary element method for macromolecular electrostatic computations in a solvent

A fast multigrid boundary element (MBE) method for solving the Poisson equation for macromolecular electrostatic calculations in a solvent is developed. To convert the integral equation of the BE method into a numerical linear equation of low dimensions, the MBE method uses an adaptive tesselation of the molecular surface by BEs with nonregular size. The size of the BEs increases in three successive levels as the uniformity of the electrostatic field on the molecular surface increases. The MBE method provides a high degree of consistency, good accuracy, and stability when the sizes of the BEs are varied. The computational complexity of the unrestricted MBE method scales as O(N_at), where N_at is the number of atoms in the macromolecule. The MBE method is ideally suited for parallel computations and for an integrated algorithm for calculations of solvation free energy and free energy of ionization, which are coupled with the conformation of a solute molecule. The current version of the 3-level MBE method is used to calculate the free energy of transfer from a vacuum to an aqueous solution and the free energy of the equilibrium state of ionization of a 17-residue peptide in a given conformation at a given pH in ∼ 400 s of CPU time on one node of the IBM SP2 supercomputer. © 1997 by John Wiley & Sons, Inc. J Comput Chem 18: 569–583, 1997     

Direct Sensitive Spectrophotometric Determination of Glyphosate by Using Ninhydrin as a Chromogenic Reagent in Formulations and Environmental Water Samples

A simple, sensitive, and rapid spectrophotometric method for the assay of glyphosate (= N‐(phosphonomethyl)glycine) in various formulations (Roundup, Excel Mera 71) and environmental water samples is described. The method is based on the reaction of glyphosate with ninhydrin in presence of sodium molybdate in neutral aqueous medium at 100° to give a Ruhemann's purple product having the VIS absorption maximum at 570 nm (Scheme, Fig. 1). The product is stable for 10 h. Beer's law is obeyed in the concentration range of 0.1–3.5 μg ml^?1. The molar absorptivity and Sandell's sensitivity are 3.2816 ? 10⁴ l mol^?1 cm^?1 and 5.2 ng cm^?2, respectively (Table 1). The method is highly reproducible, as confirmed by the relative‐standard‐deviation (r.s.d.) values (1.70%; Table 2). Recovery studies establish that this method is accurate (Table 5) and can be successfully employed for the determination of glyphosate.     

Cross‐validation in PCA models with the element‐wise k‐fold (ekf) algorithm: theoretical aspects

Cross‐validation has become one of the principal methods to adjust the meta‐parameters in predictive models. Extensions of the cross‐validation idea have been proposed to select the number of components in principal components analysis (PCA). The element‐wise k‐fold (ekf) cross‐validation is among the most used algorithms for principal components analysis cross‐validation. This is the method programmed in the PLS_Toolbox, and it has been stated to outperform other methods under most circumstances in a numerical experiment. The ekf algorithm is based on missing data imputation, and it can be programmed using any method for this purpose. In this paper, the ekf algorithm with the simplest missing data imputation method, trimmed score imputation, is analyzed. A theoretical study is driven to identify in which situations the application of ekf is adequate and, more importantly, in which situations it is not. The results presented show that the ekf method may be unable to assess the extent to which a model represents a test set and may lead to discard principal components with important information. On a second paper of this series, other imputation methods are studied within the ekf algorithm. Copyright © 2012 John Wiley & Sons, Ltd.     

Quantification of chondroitin sulfate and dermatan sulfate in danaparoid sodium by <Superscript>1</Superscript>H NMR spectroscopy and PLS regression

Danaparoid sodium (the active pharmaceutical ingredient in Orgaran; Merck Sharp and Dohme) is a biopolymeric non-heparin drug used as anticoagulant and antithrombotic agent approved for the prophylaxis of post-operative deep-vein thrombosis, which may lead to pulmonary embolism in patients undergoing, e.g., elective hip replacement surgery. It consists of a mixture of three glycosaminoglycans (GAGs): heparan sulfate (HS), dermatan sulfate (DS), and chondroitin sulfate (CS). Currently, the CS and DS content are quantified by means of a time-consuming enzymatic method. In this paper the use of ¹H NMR in combination with multivariate regression (partial least-squares, PLS) is proposed as a new method. In order to evaluate the proposed method, a series of danaparoid sodium samples were analyzed and the results were compared with those obtained by the enzymatic method (reference method). The results showed that the proposed ¹H NMR method is a good alternative for analysis of CS and DS in danaparoid sodium. Accuracy of ±0.7% (w/w) and ±1.1% (w/w) for CS and DS was obtained by the ¹H NMR method and accuracy of ±1.0% (w/w) and ±1.3% (w/w) by the enzymatic method. Furthermore, the use of ¹H NMR in combination with PLS results in a fast quantification. The analysis time is reduced to 35 min per sample instead of 60 h for a maximum of 16 samples.     

Differential Pulse Polarographic Determination of Nitrate in AUT Solution

A differential pulse polarographic method for the determination of nitrate ion has been developed. With 0.5 M CaCl₂ as supporting electrolyte, NO^?₃ is reduced to give a peak with E_1/2=–1.836 Volt vs. the Ag/AgCl electrode. The differential pulse polarographic peak height is proportional to the nitrate concentration from 20 to 60 ppm. The detection limit for nitrate is 2 ppm in pure aqueous solution. In the determination of 40 ppm nitrate a relative precision (relative standard deviation) of less than 2% was achieved. Nitrite interferes seriously and should be absent if accurate results are required. The method has been applied to the determination of nitrate in Ammonium Uranyl Tricarbonate (AUT) Solution, results obtained by this method are compared to those obtained by ion chromatography. The agreement between the two sets of results suggests that the DPP method can be used with a fair degree of confidence.     

The theoretical treatment of the Li2-molecule

The Li₂ molecule is treated both with the method of moments and with the method of energy variation for the following distances of the nuclei R = 2a_H, 4a_H, 6a_H, 8a_H and 10a_H. The calculations have been performed with the Hartree–Fock method (HF ) and with the method of pseudo-potentials (PSP ). The results show that the HF method and PSP method lead practically to the same result. This may be important in the treatment of more complicated molecules.     

Differential method for the determination of the order of reaction and the rate constants

A method is proposed whereby the orders and rate constants for processes obeying the rate law ?dA/dt = kAⁿ may be determined. The method is illustrated in two ways. First, simulated data for processes of various orders are treated, and the treatment is shown to be capable of reproducing orders and rate constants to a high degree of accuracy. The factors affecting the accuracy with which n and k can be determined are considered. These are inaccuracy in the determination of concentration values, irregularity of the time intevals between concentration determinations, and the length of those time intervals. It is shown that if concentrations are determined at times that are close together, the effect of the other two factors is small, but if the time intervals are made longer, the errors due to the other two factors affect the calculated values of n and k much more seriously. Second, the method was applied to two homogeneous reactions, of which one was first-order and one was second order, and three heterogeneous reactions, of which one was found by the original workers to be first order, one to be zero order, and one to vary between zero and first order, depending on the initial pressure. The present method gives results in agreement with these conclusions and reproduces the rate constants to within ±5% in all cases.     

On the calculation of multiplet energies by the hartree-fock-slater method

It is shown that a consistent application of the p ^1/3 approximation of the Hartree-Fock-Slater method requires the use of one specific procedure, the sum method, for the calculation of the energy E _s ¹ of singlet excited states of closed shell molecules. Further, E _s ¹ is found to be in reasonable agreement with experiment for a number of molecules, contrary to the energy E _s ² obtained according to another method discussed in the literature. The calculation of other multiplet splittings than singlet-triplet in the Hartree-Fock-Slater method is also considered.