Multi-Level Robustness Evaluation Approach: From Robustness Criterion to Adapted Algorithm of Dong

This paper proposes an innovative concept for robustness evaluation guided by two crucial aims: indubitable identification of the factors that significantly affect the LC method and avoidance of unnecessary time and money wasting. The first phase of the proposed strategy includes robustness screening during the method optimization. Initial assumptions of the method robustness can be tracked as the rate of the response change while the factors deviate within the expected range. Therefore, partial and total robustness criteria are calculated. If the results obtained are not satisfactory, re-optimization of the method should be considered. Otherwise, extensive robustness testing defined by experimental design and multi-level factors estimation should be performed to confirm the method robustness. Firstly, the important factors are investigated by the standard graphical (normal probability plots) and statistical (algorithm of Dong and error estimation based on a priori declared negligible effects) procedures. Since these approaches have several drawbacks, they can result in the appearance of false negative or false positive results. Thus, the modification of the statistical tests is advised in order to make the final conclusions. Special attention was dedicated to the advantages of the adapted algorithm of Dong (so-called 75 % approach) in the absence of the effect sparsity. The new approach is presented on the optimization and robustness testing of LC method for determination of ramipril and its five impurities. It is proved that the proposed strategy can perform an overall robustness estimation and successfully reveal all important factors.     

Comparison of multianalyte proficiency test results by sum of ranking differences, principal component analysis, and hierarchical cluster analysis

Sum of ranking differences (SRD) was applied for comparing multianalyte results obtained by several analytical methods used in one or in different laboratories, i.e., for ranking the overall performances of the methods (or laboratories) in simultaneous determination of the same set of analytes. The data sets for testing of the SRD applicability contained the results reported during one of the proficiency tests (PTs) organized by EU Reference Laboratory for Polycyclic Aromatic Hydrocarbons (EU-RL-PAH). In this way, the SRD was also tested as a discriminant method alternative to existing average performance scores used to compare mutlianalyte PT results. SRD should be used along with the z scores—the most commonly used PT performance statistics. SRD was further developed to handle the same rankings (ties) among laboratories. Two benchmark concentration series were selected as reference: (a) the assigned PAH concentrations (determined precisely beforehand by the EU-RL-PAH) and (b) the averages of all individual PAH concentrations determined by each laboratory. Ranking relative to the assigned values and also to the average (or median) values pointed to the laboratories with the most extreme results, as well as revealed groups of laboratories with similar overall performances. SRD reveals differences between methods or laboratories even if classical test(s) cannot. The ranking was validated using comparison of ranks by random numbers (a randomization test) and using seven folds cross-validation, which highlighted the similarities among the (methods used in) laboratories. Principal component analysis and hierarchical cluster analysis justified the findings based on SRD ranking/grouping. If the PAH-concentrations are row-scaled, (i.e., z scores are analyzed as input for ranking) SRD can still be used for checking the normality of errors. Moreover, cross-validation of SRD on z scores groups the laboratories similarly. The SRD technique is general in nature, i.e., it can be applied to any experimental problem in which multianalyte results obtained either by several analytical procedures, analysts, instruments, or laboratories need to be compared.

At point of use sono-electrochemical generation of hydrogen peroxide for chemical synthesis: the green oxidation of benzonitrile to benzamide

At point of use generation of synthetically useful quantities of hydrogen peroxide in a non-optimized sono-electrochemical cell is reported. Proof-of-concept of the use of this procedure for green synthesis is given through the oxidation of benzonitrile to benzamide with yields similar to those obtained via bulk chemical synthesis.     

Influence of the aryl substituent identity in 4-arylamino-3-nitrocoumarins on their thermal behavior

Thermal behavior of structurally similar 4-arylamino-3-nitrocoumarin derivatives substituted with different electron-donor and electron-acceptor substituents on the aryl side group was investigated. The thermal stability of these compounds was studied by non-isothermal thermo-gravimetric analysis, differential thermo-gravimetry, differential thermal analysis, and pyrolysis–gas chromatography–mass spectrometry. The thermal degradation of the three synthesized 4-arylamino-3-nitrocoumarins, possessing an iodine atom, a nitro or a methyl group, proceeds in three steps. The thermal stability of the coumarin derivative with the electron-donating methyl substituent is lower than that of the compounds with the electron-accepting nitro group or iodine atom. This least stable compound (4-[(4-methylphenyl)amino]-3-nitro-2H-chromen-2-one) was also characterized with the greatest loss in mass that accompanied the degradation, and all of the three degradation steps of this compound began at the lowest temperature in comparison to the other two.     

Surface modifications of a titanium implant by a picosecond Nd:YAG laser operating at 1064 and 532 nm

Interaction of an Nd:YAG laser, operating at 1064 or 532 nm wavelength and pulse duration of 40 ps, with titanium implant was studied. Surface damage thresholds were estimated to 0.9 and 0.6 J/cm² at wavelengths 1064 and 532 nm, respectively. The titanium implant surface modification was studied by the laser beam of energy density of 4.0 and 23.8 J/cm² (at 1064 nm) and 13.6 J/cm² (at 532 nm). The energy absorbed from the Nd:YAG laser beam is partially converted to thermal energy, which generates a series of effects, such as melting, vaporization of the molten material, shock waves, etc. The following titanium/implant surface morphological changes were observed: (i) both laser wavelengths cause damage of the titanium in the central zone of the irradiated area, (ii) appearance of a hydrodynamic feature in the form of resolidified droplets of the material in the surrounding outer zone with the 1064 nm laser wavelength and (iii) appearance of wave-like microstructures with the 532 nm wavelength. Generally, both laser wavelengths and the corresponding laser energy densities can efficiently enhance the titanium/implant roughness. This implant roughness is expected to improve its bio-integration. The process of the laser interaction with titanium implant was accompanied by formation of plasma.     

Thermodynamic and Kinetic Studies on Reactions of Pt(II) Complexes with Pyrazole, Pyridazine, and 1,2,4-Triazole

Substitution reactions of the complexes [Pt(dien)H₂O]²⁺ and [PtCl(dien)]⁺, where dien = diethylentriamine or 1,5-diamino-3-azapentane, with some nitrogen-donor ligands such as 1,2,4-triazole, pyrazole, and pyridazine, were studied in an aqueous 0.10 M NaClO₄ at pH = 2.5 using variable-temperature spectrophotometry and ¹H NMR spectroscopy. The second-order rate constants indicate that the aqua complex, [Pt(dien)H₂O]²⁺, is more reactive than the corresponding chloro complex, [PtCl(dien)]⁺. The reactivity of the used ligands follows the order: 1,2,4-triazole > pyridazine > pyrazole. Activation parameters were determined for all reactions and the negative entropies of activation (ΔS ^≠) support an associative ligand substitution mechanism.     

Monoclinic structure and nonstoichiometry of `KAlSiO4‐O1'

Crystals of KAlSiO₄‐O1 (potassium aluminium silicate) were synthesized using a flux method and analysed utilizing single‐crystal X‐ray diffraction and electron microprobe analysis. Both methods confirm that the crystals are nonstoichiometric according to K_1−xAl_1−xSi_1+xO₄ with x = 0.04 (1). KAlSiO₄‐O1 is closely related to the stuffed derivatives of tridymite, although the topology of the Si/Al‐ordered framework is different. Six‐membered rings of UUDDUD and UUUDDD (U = up and D = down; ratio 2:1) configurations are present in layers parallel to the ab plane. In contrast, the framework of tridymite exhibits UDUDUD rings. The crystals are affected by inversion, pseudo‐orthorhombic and pseudo‐hexagonal twinning.     

A note on an inverse problem for lattice points

Let K⊆R² be a compact set such that K+Z²=R² and let K−K={a−b|a,b∈K}. We prove, via Algebraic Topology, that the integer points of the difference set of K, (K−K)∩Z², is not contained on the coordinate axes, Z×{0}∪{0}×Z. This result implies the negative answer to the inverse problem posed by M.B. Nathanson (2010) [5].     

Role of π-acceptor effects in controlling the lability of novel monofunctional Pt(II) and Pd(II) complexes: crystal structure of [Pt(tripyridinedimethane)Cl]Cl

The kinetics and mechanism of substitution reactions of novel monofunctional [Pt(tpdm)Cl](+) and [Pd(tpdm)Cl](+) complexes (where tpdm = tripyridinedimethane) and their aqua analogues with thiourea (tu), L-methionine (L-met), glutathione (GSH), and guanosine-5'-monophosphate (5'-GMP) were studied in 0.1 M NaClO(4) at pH = 2.5 (in the presence of 10 mM NaCl for reactions of the chlorido complexes). The reactivity of the investigated nucleophiles follows the order tu > l-met > GSH > 5'-GMP. The reported rate constants showed the higher reactivity of the Pd(II) complexes as well as the higher reactivity of the aqua complex than the corresponding chlorido complex. The negative values reported for the activation entropy as well as the activation volume confirmed an associative substitution mode. In addition, the molecular and crystal structure of [Pt(tpdm)Cl]Cl was determined by X-ray crystallography. The compound crystallizes in a monoclinic space group C2/c with two independent molecules of the complex and unit cell dimensions of a = 38.303(2) ?, b = 9.2555(5) ?, c = 27.586(2) ?, β = 133.573(1)°, and V = 7058.3(8) ?(3). The cationic complex [Pt(tpdm)Cl](+) exhibits square-planar coordination around the Pt(II) center. The lability of the [Pt(tpdm)Cl](+) complex is orders of magnitude lower than that of [Pt(terpyridine)Cl](+). Quantum chemical calculations were performed on the [Pt(tpdm)Cl](+) and [Pt(terpyridine)Cl](+) complexes and their reactions with thiourea. Theoretical computations for the corresponding Ni(II) complexes clearly demonstrated that π-back-bonding properties of the terpyridine chelate can account for acceleration of the nucleophilic substitution process as compared to the tpdm chelate, where introduction of two methylene groups prevents such an effective π-back bonding.     

Demasking large dummy effects approach in revealing important interactions in Plackett–Burman experimental design

This paper presents a newly developed demasking large dummy effects (DDE) approach for identification of significant factor interactions in Plackett–Burman experimental design. Dummy factors, as imaginary factors, are not expected to contribute to the model, so the appearance of their high effect values could indicate the significance of the interactions they are confounded with. DDE approach consists of the screening of the large estimable effects, the calculation of the interactions that contribute the most to the large dummy effects from the alias matrix, and a single pass of all subsets regressions including preselected interactions and main factors for the final model tuning. Tested on experimentally obtained data from a robustness analysis of a method for the determination of raloxifene and its four impurities, DDE approach showed to create the models that have greater statistical power than the ones described with the main factors only, which makes them more reliable and accurate for the application. Additionally, because of the interactions selection criterion and final tuning phase of the strategy, DDE approach allows the creation of models that are likely to better describe the real systems, which increases the practical value. Copyright © 2012 John Wiley & Sons, Ltd.