M V Sangaranarayanan
Articles written in Journal of Chemical Sciences
Volume 117 Issue 3 May 2005 pp 207-218
Underpotential deposition of metals – Progress and prospects in modelling
Underpotential deposition (UPD) of metals is analysed from the perspective of phenomeno-logical and statistical thermodynamic considerations; the parameters influencing the UPD shift have been quantitatively indicated using a general formalism. The manner in which the macroscopic properties pertaining to the depositing ions and solvent dipoles and the nature of the metallic substrate influence the UPD process are highlighted; earlier correlations of the UPD shift with the work function differences are rationalised. Anion-induced phase transitions which manifest as sharp peaks in experimental cyclic voltammograms are discussed using statistical thermodynamic models.
Volume 120 Issue 1 January 2008 pp 25-31
The galvanostatic polymerization of pyrrole is carried out on stainless steel electrodes using 𝑝-toluene sulphonic acid. The morphology of the film is studied from Scanning Electron Microscopy (SEM) measurements while the nature of the substrate is analysed using Energy Dispersive X-ray Spectroscopy (EDAX) technique. The electrochemical behaviour is studied using cyclic voltammetry, charge-discharge analysis and impedance spectroscopy. The feasibility of the electrode for supercapacitor applications is investigated. The specific capacitance is estimated as ∼ 102 Farads per gram with 103 charge-discharge cycles. A plausible equivalent circuit for the system is proposed and the circuit parameters are obtained by non-linear regression analysis.
Volume 121 Issue 5 September 2009 pp 559-560
M V Sangaranarayanan K L Sebastian
Volume 121 Issue 5 September 2009 pp 595-599
Partition function of nearest neighbour Ising models: Some new insights
G Nandhini M V Sangaranarayanan
The partition function for one-dimensional nearest neighbour Ising models is estimated by summing all the energy terms in the Hamiltonian for N sites. The algebraic expression for the partition function is then employed to deduce the eigenvalues of the basic $2 \times 2$ matrix and the corresponding Hermitian Toeplitz matrix is derived using the Discrete Fourier Transform. A new recurrence relation pertaining to the partition function for two-dimensional Ising models in zero magnetic field is also proposed.
Volume 124 Issue 1 January 2012 pp 105-113
M Vinothkumar G Nandhini M V Sangaranarayanan
The partition function for two-dimensional nearest neighbour Ising model in a non-zero magnetic field have been derived for a finite square lattice of 16, 25, 36 and 64 sites with the help of
Volume 135, 2023
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