Proceedings of the Indian Academy of Sciences - Mathematical Sciences

Khare, S; Tripathi, V

doi: 10.1007/BF02872011pmid: N/A

In this paper, the authors prove a theorem on matrix summability of Laguerre series at the point x=0. Various results on Casàro, Nörlund and generalized Nörlund summability method have been deduced.

Mohanan, A; Aravindakshan, K

doi: 10.1007/BF02869380pmid: N/A

A series of complexes of Cu(I) and Ag(I) with 4,5-diphenylimidazole-2-thione (L2H) have been isolated and characterized by chemical analyses, electrical conductance, magnetic and IR spectral data. These studies revealed that the ligand coordinates with the central metal ion in one of the following ways: (1) neutral monodentate, (2) anionic bidentate or (3) S-coordinate with an additional M-N interaction.

Chandra, Amalendu; Bagchi, Biman

doi: 10.1007/BF02869389pmid: N/A

Microscopic expressions for the time dependence of solvation energies of newly created ions and dipoles in a dense dipolar liquid are presented. It is shown that: (i) the dynamics of solvation of an ion differ considerably from that of a dipole, especially that the long wavelength (k=0) component of solvent response is totally absent for dipoles, and (ii) the translational modes of the solvent molecules lead to a breakdown of Onsager’s conjecture on the distance dependence of solvent polarization relaxation.

Mahadevan, J; Guha, S; Kishore, K; Moorthy, P

doi: 10.1007/BF02869385pmid: N/A

The technique of nanosecond pulse radiolysis has been used to study the one-electron reduction of toluidine blue. Apart from H ande aq − various organic reducing radicals derived from isopropanol, tetrahydrofuran, cytosine etc. have been employed. The rate constants for the one-electron reduction was evaluated from build up traces. By monitoring the absorbance changes as a function of pH, twopK a values were obtained suggesting the existence of the species in three conjugate acid-base forms. The spectra of the different protonated forms were monitored and their characteristic features have been presented here. In the case of H-atoms it has been observed that in addition to the electron-transfer reaction, other processes like adduct formation also appear to be taking place. Using the redox titration method, with radicals of known redox potential the one-electron reduction potential of toluidine blue was also evaluated (vs. NHE).

Sharma, R; Chongdar, A

doi: 10.1007/BF02872009pmid: N/A

In this note a theorem concerning the extension of bilateral generating functions of the modified Laguerre polynomials is derived. Some applications of the theorem are also pointed out.

Siddarth, Prabha; Gopinathan, M

doi: 10.1007/BF02869384pmid: N/A

A numerical correlation between quantum-chemically calculated bond valency and experimental heat of atomisation of molecules is reported. It is shown that bond valency is a reliable measure of bond multiplicity in a variety of molecules including cases where these are ambiguous classically.

Sangurdekar, P; Sudersanan, M; Sundaram, A

doi: 10.1007/BF02869379pmid: N/A

Mixed chelates of thulium with someβ-diketones like thenoyltrifluoroacetone, benzoyltrifluoroacetone, naphthoyltrifluoroacetone, trifluoroacetylacetone, furolytri-fluoroacetone and dibenzoylmethane have been studied. The nature of the extracted species has been investigated by the method of slope analysis. The statistical stabilisation constants have been evaluated. A linear correlation has been observed between the stability of chelates and properties of the chelating agents.

Venkateshwarlu, G; Reddy, P; Subrahmanyam, B

doi: 10.1007/BF02869388pmid: N/A

The conformational analyses of α-mono, α-di and α-trichloroacetanilides have been carried out using IR spectroscopy. α-Monochloro, dichloro and trichloroacetanilides were found to exist in only one conformation in CH2Cl2 and CHC13. The existence of all these anilides in single conformation is due to intramolecular H-bond formation between N−H and Cl.