Numerical Modeling of Solitons in a Low Birefringent Optical Fiber

A numerical investigation, based on the split-step Fourier transform algorithm of all optical switching of solitons in a low birefringent optical fiber is presented. The numerical algorithm is described in detail. This revised version was published online in August 2006 with corrections to the Cover Date.     

3,4‐[2,2‐Bis(methoxyethoxymethoxymethyl)propylenedithio]‐3′,4′‐(ethylenedithio)tetrathiafulvalene: a spiro‐substituted BEDT–TTF analogue

The crystal structure of the title compound [systematic name: 2‐(1,3‐dithiolo[4,5‐b][1,4]dithiin‐2‐ylidene)‐6,6‐bis(methoxyethoxymethoxymethyl)‐1,3‐dithiolo[4,5‐b][1,4]dithiepine], C₂₁H₃₀O₆S₈, a spiro‐substituted BEDT–TTF analogue [BEDT–TTF is bis(ethylenedithio)tetrathiafulvalene], has a strongly bent heterocyclic framework. The seven‐membered ring adopts a pseudo‐chair conformation with notably widened ring bond angles, especially at the methylene C atoms [119.49 (11) and 117.60 (11)°]. The axial side chain adopts an extended conformation, but the equatorial side chain curls back on itself and the O atom nearest the ring system is involved in three short contacts to H atoms (2.45–2.53 Å). The molecules pack in centrosymmetrically related pairs, which are isolated from each other by columns of the polyether side chains. This study emphasizes the ease of distortion of the neutral bis(propylenedithio)tetrathiafulvalene ring structure, and how the need to accommodate side chains can easily override the tendency of these donor systems to form stacks in the crystalline state.     

The determination of indium and thallium in silicate rocks by a combined solvent extraction and spectrochemical technique

A technique has been developed for the determination of In and Tl at very low concentrations in silicate rocks. The iodo-complexes of these elements are extracted from the rock silicate into ethyl cther and the ethereal residues are analysed spectrochemically. The optimum working conditions were established by a study of the variation of percentage extraction as a function of hydrogen iodide normality ; the reproducibility of the spectrochemical procedure was investigated. In and Tl were determined in eight silicate rocks including standard granite G-I and standard diabase W-I. Good agreement was obtained with results of other workers for these two rocks and with the author's previous results. The evidence for a In/Mn coherence in silicate rocks is sufficiently strong to warrant further investigations.     

Harmonic analysis of large systems. II. Comparison of different protein models

A series of normal mode analyses of bovine pancreatic trypsin inhibitor (BPTI) has been performed. The results of modifying the long-range truncation of electrostatics, reducing the conformational space of the system (reduced basis normal mode analysis), and using different parameter sets and models for the potential function are reported. Both explicit (904 atoms) and polar hydrogen (580 atoms) representations of BPTI were examined and produced nearly identical normal mode vectors but slightly modified vibrational frequencies. The truncation methods—no cutoff, shift, and switch—were examined, and the use of a short switching function was found to alter harmonic motion greatly. A table relating the different cutoff methods to several previously published frequencies for BPTI indicates that the diversity of published lowest frequencies is due to the use of different electrostatic models rather than to inherent differences in the models or energy parameters. Examining reduced basis results demonstrates that a dihedral basis yields similar normal mode vectors, though the vibrational frequencies are shifted to higher values. The analysis of BPTI harmonic dynamics using a spherical harmonic reduced basis set yields significantly altered dynamics, indicating that BPTI is not well represented as a homogeneous object at low temperatures. © 1995 John Wiley & Sons, Inc.

1 This article is a U.S. Government work and, as such, is in the public domain in the United States of America.