Conservation laws for some compacton equations using the multiplier approach

This paper is an application of the variational derivative method to the derivation of the conservation laws for partial differential equations. The conservation laws for (1+1) dimensional compacton k(2,2) and compacton k(3,3) equations are studied via multiplier approach. Also the conservation laws for (2+1) dimensional compacton Zk(2,2) equation are established by first computing the multipliers.     

Acceleration of Adventitious Shoots by Interaction Between Exogenous Hormone and Adenine Sulphate in Althaea Officinalis L.

In the current study attempts were made to investigate the effects of three different phases of callus induction followed by adventitious regeneration from leaf segments (central and lateral vein). Callus induction was observed in Murashige and Skoog’s (MS) medium supplemented with 15.0 μM 2,4-dichloro phenoxy acetic acid (2,4-D). Adventitious shoot buds formation was achieved on MS medium supplemented with 7.5 μM 2,4-D and 20.0 μM AdS in liquid medium as it induced 19.2?±?0.58 buds in central vein explants. Addition of different growth regulators (cytokinins—6-benzyladenine, kinetin and 2-isopentenyl adenine alone or in combination with auxins—indole-3-acetic acid, indole-3-butyric acid and α-naphthalene acetic acid, improved the shoot regeneration efficiency, in which 5.0 μM 6-benzyl adenine along with 0.25 μM α-naphthalene acetic acid was shown to be the most effective medium for maximum shoot regeneration (81.3 %) with 24.6 number of shoots and 4.4?±?0.08 cm shoot length per explant. Leaf culture of central veins led to better shoot formation capacity in comparison to lateral vein. Rooting was readily achieved on the differentiated shoots on 1/2 MS medium augmented with 20.0 μM indole-3-butyric acid. The plants were successfully hardened off in sterile soilrite followed by their establishment in garden soil with 80 % survival rate.     

1,2-Bis-(2-benzimidazolyl)-1,2-ethanediol and 1,4-bis-(2-benzimidazolyl)-1,2,3,4-butanetetraol PdCl2 complexes

The 1,2-bis-(2-benzimidazolyl)-1,2-ethanediol (EH₂) and 1,4-bis-(2-benzimidazolyl)-1,2,3,4-butanetetraol (TH₄) ligands form 4-coordinate mono- and bi-metallic complexes with PdCl₂, respectively. In Pd(EH₂)Cl₂ the ligand acts as a bidentate through two of the nitrogen atoms. On the other hand, in Pd₂(TH₄)Cl₄ the ligand coordinates to two palladium atoms through both bis-benzimidazole nitrogen atoms and two oxygen atoms of the hydroxy groups, forming two different isomers. The complexes were characterised by analytical data, magnetic susceptibility, molar conductivity, and also by i.r., ¹H- and ¹³C-n.m.r. spectra.     

Synthesis and characterisation of 1,3-bis(2-benzimidazyl)-2-thiapropane, 1,5-bis(2-benzimidazyl)-3-thiapentane ligands and their PdCl2 complexes

The 1,3-bis(2-benzimidazyl)-2-thiapropane (TP₂) and 1,5-bis(2-benzimidazyl)-3-thiapentane (TP₃) ligands form 5-coordinate square pyramidal monometallic complexes with PdCl₂. In both complexes the ligands act as chelating tridentate, through two of the nitrogen atoms in the imidazole ring and the sulphur atom of the bridging group. The ligands and complexes were characterised by analytical data and by modern spectroscopic methods such as FT-Raman, i.r., ¹H and ¹³C-n.m.r. spectra.     

Process optimisation for the biosynthesis of cellulase by Bacillus PC-BC6 and its mutant derivative Bacillus N3 using submerged fermentation

This study deals with optimisation of cultural conditions for enhanced production of cellulase by Bacillus PC-BC6 and its mutant derivative Bacillus N3. Influence of different variables including incubation time, temperature, inoculum size, pH, nitrogen sources and metal ions has been studied. The optimum conditions for cellulase production were incubation period of 72 h, inoculum size 4% incubation temperature 37°C, pH 7, 0.25% ammonium sulphate, 0.2% peptone as inorganic and organic nitrogen source in case of Bacillus PC-BC6. In case of mutant Bacillus N3, optimal conditions were incubation period of 48 h, incubation temperature 37°C, inoculum size 3%, pH 7, 0.2% ammonium chloride and 0.15% yeast extract. Presence of MnSO₄ and CaCl₂ enhances the enzyme production by Bacillus PC-BC6 and mutant Bacillus N3, respectively. This study was innovative and successful in producing cellulase economically by using cheap indigenous substrate Saccharum spontaneum.     

Polymerization of SU-8 under irradiation stimulated by temperature increase

X-ray irradiation of thick polymer layers (a deep X-ray lithography procedure) results in a temperature distribution over the exposed area. The induced inhomogeneous temperature increase can reach several tens of degrees and it affects direct SU-8 polymerization depending on the microstructure size and area.     

Ion population fraction calculations using improved screened hydrogenic model with l-splitting

Ion population fraction(IPF) calculations are very important to understand the radiative spectrum emitted from the hot dense matter. IPF calculations require detailed knowledge of all the ions and correlation interactions between the electrons of an ion which are present in a plasma environment. The average atom models, e.g., screened hydrogenic model with l-splitting(SHML), now have the capabilities for such calculations and are becoming more popular for in line plasma calculations. In our previous work [Ali A, Shabbir Naz G, Shahzad M S, Kouser R, Rehman A and Nasim M H 2018 High Energy Density Phys. 26 48], we have improved the continuum lowering model and included the exchange and correlation effects in SHML. This study presents the calculation of IPF using classical theory of fluctuation for our improved screened hydrogenic model with l-splitting(I-SHML) under local thermodynamic equilibrium conditions for iron and aluminum plasma over a wide range of densities and temperatures. We have compared our results with other models and have found a very good agreement among them.     

Ligand-redox assisted nickel catalysis toward stereoselective synthesis of (n+1)-membered cycloalkanes from 1,n-diols with methyl ketones

A well-defined, bench-stable nickel catalyst is presented here, that can facilitate double alkylation of a methyl ketone to realize a wide variety of cycloalkanes. The performance of the catalyst depends on the ligand redox process comprising an azo-hydrazo couple. The source of the bis electrophile in this double alkylation is a 1,n-diol, so that (n+1)-membered cycloalkanes can be furnished in a stereoselective manner. The reaction follows a cascade of dehydrogenation/hydrogenation reactions and adopts a borrowing hydrogen (BH) method. A thorough mechanistic analysis including the interception of key radical intermediates and DFT calculations supports the ligand radical-mediated dehydrogenation and hydrogenation reactions, which is quite rare in BH chemistry. In particular, this radical-promoted hydrogenation is distinctly different from conventional hydrogenations involving a metal hydride and complementary to the ubiquitous two-electron driven dehydrogenation/hydrogenation reactions.

A homogeneous nickel catalyst is described that forms (n+1)-membered cycloalkane rings from ketones and 1,n-diols following a radical-promoted pathway.