Some distinguishing tests for α-amino acids and a specific spot test for lysine

Tests are described for differentiation between neutral, basic, and acidic amino acids based on the formation of nickel dimethylglyoxime precipitate from an equilibrium mixture containing Ni²⁺, dimethylglyoxime and Ni²⁺, dimethylglyoxime-glycine. A highly sensitive and specific test for lysine is described, based on the formation of nickel dimethylglyoxime precipitate in a drop of the equilibrium mixture, by the reaction of the volatile amino aldehyde, produced by the oxidative deamination-decarboxylation of lysine. Other basic amino acids, i.e., arginine and histidine do not interfere, and the test can be applied for lysine in a mixture with other amino acids.     

Diffuse reflectance spectrum of some Nd3+ aromatic acids

The Nd³⁺ complexes of β-diketonates have been studied earlier, ^1–3 but those of aromatic acids have not been studied in detail. The present communication reports the study of two of such complexes.     

Probing interatomic potentials by ion translational energy spectrometry: A new crossed molecular beams apparatus

This report presents details of the development of a new crossed molecular beams apparatus designed and fabricated to carry out high sensitivity ion translational energy spectrometric investigations of the potential energy surfaces of small molecular species. The translational energy spectrometer is used to carry out experimental studies of ion-neutral reactions resulting in charge stripping of CS⁺ radicals and dissociation of metastable CO²⁺ dications. These results are interpreted in the light of high-levelab initia molecular orbital calculations of the pertinent molecular potential energy functions. New results for the double ionisation energy of CS and the kinetic energy released upon dissociation of specific electronic states of CO²⁺ are presented.     

Determination of carbon nanotube density by gradient sedimentation

Density gradient centrifugation is a high-resolution technique for the separation and characterization of large molecules and stable complexes. We have analyzed various nanotube structures by preparative centrifugation in sodium metatungstate-water solutions. Bundled, isolated and acid-treated single-walled nanotubes (SWNTs) and multiwall nanotubes (MWNTs) formed sharp bands at well-defined densities. The structure of the material in each band was confirmed by transmission electron microscopy and Raman spectroscopy. Our data suggest respective densities of 1.87, 2.13, 1.74, and 2.1 g/cm(3) for bundled, isolated, and acid-treated SWNTs and MWNTs. These measured results compare well with their calculated densities.     

Problems on matchings and independent sets of a graph

Let $G$ be a finite simple graph. For $X?V\left(G\right)$, the difference of $X$, $d\left(X\right)?\left|X\right|?\left|N\left(X\right)\right|$ where $N\left(X\right)$ is the neighborhood of $X$ and $max\{d\left(X\right):X?V\left(G\right)\}$ is called the critical difference of $G$. $X$ is called a critical set if $d\left(X\right)$ equals the critical difference and $\ker \left(G\right)$ is the intersection of all critical sets. $\mathrm{diadem}\left(G\right)$ is the union of all critical independent sets. An independent set $S$ is an inclusion minimal set with$d\left(S\right)>0$ if no proper subset of $S$ has positive difference.A graph $G$ is called a König–Egerváry graph if the sum of its independence number $\alpha \left(G\right)$ and matching number $\mu \left(G\right)$ equals $\left|V\left(G\right)\right|$.In this paper, we prove a conjecture which states that for any graph the number of inclusion minimal independent set $S$ with $d\left(S\right)>0$ is at least the critical difference of the graph.We also give a new short proof of the inequality $\left|\ker \left(G\right)\right|+\left|\mathrm{diadem}\left(G\right)\right|\le 2\alpha \left(G\right)$.A characterization of unicyclic non-König–Egerváry graphs is also presented and a conjecture which states that for such a graph $G$, the critical difference equals $\alpha \left(G\right)?\mu \left(G\right)$, is proved.We also make an observation about $\ker \left(G\right)$ using Edmonds–Gallai Structure Theorem as a concluding remark.     

An improved approximation algorithm for requirement cut

This note presents improved approximation guarantees for the requirement cut problem: given an n-vertex edge-weighted graph G=(V,E), and g groups of vertices X₁,…,X_g⊆V with each group X_i having a requirement r_i between 0 and |X_i|, the goal is to find a minimum cost set of edges whose removal separates each group X_i into at least r_i disconnected components. We give a tight Θ(logg) approximation ratio for this problem when the underlying graph is a tree, and show how this implies an O(logk⋅logg) approximation ratio for general graphs, where .     

The Effect of a Finite Interaction Cross-Section on the Hanle Signal

Hanle technique is used for the lifetime measurement of the atomic excited states. Field dependent Hanle signal is Lorentzian under ideal conditions. Any departure from ideal situation is reflected in the shape of the Hanle signal resulting in erroreous measurements. The effect of one such factor, a finite interaction cross section, is discussed here.     

Raman Study of InCl3

Abstract

The Raman spectra of a crystalline powder of InCl₃ and of a de-ionized water solution show the presence of four bands at 300.0, 289.2, 115.6 and 87.1 cm^?1, thus suggesting that InCl₃ is not a perfectly planar molecule.