Role of nonpair forces in the lattice dynamics of h.c.p. metals

Summary An analysis of the role of the nonpair forces in the lattice dynamics of s.p. bonded h.c.p. metalsviz. Mg and Zn has been presented. The total energy has been extended up to third order in the electron-ion pseudopotential. The dynamical matrix contains the terms arising from central pairwise interactions between the ions as well as contributions due to sums of nonpair three-body forces. Such forces, arising from the inclusion of third-order terms, are of short-range nature and possess the character of tensor forces. It is concluded that the nonpair three-body interaction is necessary for explaining the lattice dynamics of h.c.p. metals. The theoretical dispersion curves are compared with the experimental data. Good agreement is found between the computed and experimental results along the symmetry directions.

---

Riassunto Si è presentata un’analisi del ruolo delle forze non appaiate nella dinamica reticolare di metalli h.c.p. limitati da s.p. rispetto a Mg e Zn. L’energia totale è stata estesa fino al terz’ordine nel potenziale elettrone-ione. La matrice dinamica contiene termini che originano da interazioni del tipo a coppie tra ioni cosiccome contributi dovuti a somme di forze a tre corpi non accoppiati. Tali forze, che derivano dall’inclusione di termini di terz’ordine, sono del tipo a corto raggio e possiedono le caratteristiche di forze tensoriali. Si conclude che l’interazione a tre corpi non appaiata è necessaria per spiegare la dinamica reticolare di metalli h.c.p. Le curve teoriche di dispersione sono confrontate coi dati sperimentali. Si è trovato un buon accordo tra i risultati teorici e sperimentali lungo le direzioni di simmetria.

     

The intensity distribution of hollow Gaussian beams focused by a lens with spherical aberration

We developed an expression that describes the hollow Gaussian beams (HGBs) passing through a spherically aberrated lens by using the Collins formula. The radial intensity distribution in both spherical aberration SA free lens, lens that exhibits relatively large in both positive spherical aberration PSA, and negative spherical aberration NSA is calculated. Numerical calculations are made and the results show that the PSA and NSA have a strong influence on the intensity distribution especially at the focus. The study showed remarkable results for which there is no hollow Gaussian beam at a large NSA along the optical axis at the focus. In addition, we found that the DSS, and w_r of focused hollow Gaussian beams in the focal region depend not only on the beam radius, and beam order; but also on the spherical aberration.     

Analysis of physical layer performance of hybrid optical-wireless access network

The hybrid optical-wireless access network (HOWAN) is a favorable architecture for next generation access network. It is an optimal combination of an optical backhaul and a wireless front-end for an efficient access network. In this paper, the HOWAN architecture is designed based on a wavelengths division multiplexing/time division multiplexing passive optical network (WDM/TDM PON) at the optical backhaul and a wireless fidelity (WiFi) technology at the wireless front-end. The HOWAN is proposed that can provide blanket coverage of broadband and flexible connection for end-users. Most of the existing works, based on performance evaluation are concerned on network layer aspects. This paper reports physical layer performance in terms of the bit error rate (BER), eye diagram, and signal-to-noise ratio (SNR) of the communication system. It accommodates 8 wavelength channels with 32 optical network unit/wireless access points (ONU/APs). It is demonstrated that downstream and upstream of 2 Gb/s can be achieved by optical backhaul for each wavelength channel along optical fiber length of 20 km and a data rate of 54 Mb/s per ONU/AP along a 50 m outdoor wireless link.     

Intensity distribution and focal depth of axicon illuminated by Gaussian Schell-model beam

In view of second-order coherence theory, the generalized diffractive axicon illuminated by partially coherent Gaussian Schell-model (GSM) beams is analyzed. An analytical equation for focal depth of axicon without aperture illuminated by spatial partially coherent GSM beam is derived. We showed that the off-axis images can be evaluated by using the method of stationary phase at any correlation state, hence we demonstrated that the intensity distribution of diffracted beam is a superposition of Bessel Beams of various orders. We also showed that the diffracted beam is nondiffractive only on the boundaries of the focal depth.     

New conducting pyrrole–thiophene co-polymer from an oligomer precursor: electrochemical characterisation

A new oligomer of N,N′-bis(2-pyrrolyl methylene)-3,4-dicyano-2,5-diaminothiophene possessing cyano-substituted thiophene and pyrrole residues linked together by azomethine groups was used for the electrochemical polymerisation of conducting films. The approach used for the oligomer design favours inter-chain interactions through hydrogen bonding and negative charge stability through the cyano substitute thiophene. The oligomer was successfully electropolymerised at 0.67 V vs Ag⁺/Ag from 0.1M tetrabutylammonium tetrafluoroborate (TBABF₄)/acetonitrile as a dark blue film on the surface of platinum electrodes. Cyclic voltammetry has been used to investigate the redox behaviour of the films. The electrically conducting polymer showed p-doping/neutralisation behaviour. The effect of different electrolytes such as TBABF₄, tetrabutylammonium perchlorate (TBAClO₄), lithium perchlorate (LiClO₄) and sodium perchlorate (NaClO₄) on the redox switching and the stability of the polymer films was investigated. Infrared and UV-vis spectra of oligomer and polymers are presented. The evolution of the film growing process is shown by UV-vis spectroscopy.     

Biphenylenes-xxxi: Condensation of benzocyclobutene-1,2-dione with aliphatic and heterocyclic 1,2-diamines and the synthesis of cis-2-cyano-3-(2'-cyanovinyl)-1,4-diaz

As possible routes to 1,4-diazabiphenylene and its 2,3-disubstituted derivatives we have studied the condensation of benzocyclobutene-1,2-dione (BBD) with various 1,2-diamines. Instead of giving the 1,4-diazabiphenylene ring system, BBD reacted with ethylenediamine, diaminomaleonitrile, 4,5-diaminopyrimidine, 2-aminopyridine, also 2,3- and 3,4-diaminopyridine to give, respectively, 2-o-carboxyphenylimidazolidinium acetate 4, 3,4-dicyano-2,5-dihydro[2,5]benzodiazocine-1,6-dione 10, 4-amino-5a,9b-dihydro-5-,9b-dihydroxybenzo [3',4']cyclobuta[1',2'-4,5]imidazo[1,2-c]pyrimidine 14, 5a,9b-dihydro-5a,9b-dihydroxybenzo[3',4']cyclobuta[1',2'-4,5] imidazo[1,2-a]pyridine 17, the 4-amino derivative 16 of the latter, and the zwitter ion 18 of 4-amino-3(2-carboxy-benzylideneamino) However, BBD reacted with 4,5-diaminobenzotriazole to give the expected 1,2,3,6,11-penta-aza-1-H-indeno [4,5-b]biphenylene 20, which, on amination followed by oxidation, gave a very low yield of cis-2-cyano-3-(2'-cyanovinyl)-1,4-diazabiphenylene 3. In model experiments, 7,8-diphenylfurazano [3,4-f]quinox-aline 28 was reduced to 2,3-diamino-5,6-diphenyl quinoxaline 29, which on oxidation, gave a mixture of cis- and trans-2-cyano-3-(2'-cyanovinyl)5,6-diphenylpyrazine, 30 and 31. The pentacyclic compounds, 1,3,6,II-tetra-aza-2-oxa-2H-indeno [4,5-b]biphenylene 23 and 1,3,5,10-tetra-aza-1-H-indeno[5,6-b] biphenylene 25, were formed from BBD and the appropriate 1,2-diamines but the 5-membered heterocyclic rings could not be cleaved by reduction and hydrolysis respectively) to give tetracyclic diamines which might have undergone oxidation to give derivatives of 1,4-diazabiphenylene. Compounds 14, 16, 20, 23, 25 and 28 are derivatives of new heterocyclic systems.