Significant Research Contributions of Professor Rama Kant

*I think the next century will be the century of complexity* -Stephen W. Hawking (2000)

 

Stochastic, Quantum Mechanical, Statistical Mechanical and Phenomenological Models

 

Electronic Capacitance, Work Function & PZC: Curved and Rough Nanomaterials

 

1. Potential of zero charge for curved metal nanostructured and rough electrodes in dilute electrolytes

2. Curvature-induced anomalous enhancement or reduction in the work function of nanostructures of metals with and without solvent dipole layer

3. Shape and size dependent Thomas-Fermi model for electronic capacitance in nanostructured metals

4. Josephson Droplets: Wetting dynamics of quantum liquids

Electric Double Layer

EDL Static and Dynamic Response in Rough, Porous, Heterogeneous and Nanostructured Electrodes: Supercapacitor

1. Genaralized Thomas-Fermi theory for electronic capacitance of nanostructured electrodes

2. Theory for ionic and adsorption capacitance of electric double layer in an arbitrary nanostructured and porous electrode

3. Debye-Falkenhagen dynamics of electric double layer in presence of electrode heterogeneities

4. Theory for anomalous admittance of electric double layer at heterogeneous and rough electrodes

5. Theory for anomalous capacitance and impedance response in ionic liquids

6. Theory of the electrochemical impedance of EDL in mesostructured electrodes embedded with heterogeneous micropores

 

Quantitative Roughness Characterization of Electrodes

1. Quantitative roughness characterization and 3D reconstruction of electrode surface using cyclic voltammetry and SEM image

2. Microscopic area determination of electrode using Chronoamperometric response of reversible charge transfer in viscous medium

3. Microscopic area determination of electrode using EIS response of EDL in viscous medium

4. Statistics of Approximately Self-Affine Fractals

 

Electrode Kinetics and Diffusion

 

Electrochemical Impedance Spectroscopy(EIS)

1. Theory for the generalized Warburg admittance on a rough electrode

2. Theory for the effect of uncompensated solution resistance on generalized Warburg admittance on a rough electrode

3. Theory for anomalous Warburg admittance on a finite fractal electrode

4. Theory for the influence of uncompensated solution resistance on anomalous Warburg admittance on a finite fractal electrode

5. Theory for the quasireversible charge transfer admittance on rough electrode

6. Theory for the effect of uncompensated solution resistance on quasireversible charge transfer admittance on a rough electrode

7. Theory for the influence of quasireversible charge transfer on anomalous Warburg admittance at finite fractal electrode

8. Theory for the generalized Gerischer admittance on a rough electrode

9. Theory for the (charge transfer coupled to bulk reaction) anomalous Gerischer admittance on finite fractal electrode

10. Generalization of reduced Frumkin-Melik-Gaikazyan (FMG) model for the adsorption preceding facile charge transfer step on rough and finite fractal electrode

11. Generalization of Randles-Ershler Admittance for Arbitrary Topography Electrode

12. Theory for Electrochemical Impedance Spectroscopy of Heterogeneous Electrode with Distributed Capacitance and Charge Transfer Resistance

 

Local Electrochemical Impedance Spectroscopy(LEIS)

1.     Anomalous Localization of Electrochemical Activity in Reversible Charge Transfer at Weierstrass Fractal Electrode

 

Chronoamperometry on Rough Electrodes

1. Theory for the Nernstian charge transfer on a rough and porous electrodes

2. Theory for the effect of uncompensated solution resistance on Nernstian charge transfer on a rough and porous electrodes

3. Theory for anomalous Cottrell response on finite fractal electrode

4. Theory for the effect of uncompensated solution resistance on anomalous Cottrell response on a finite fractal electrode

5. Theory for the quasireversible charge transfer on a rough electrode

6. Theory for the effect of uncompensated solution resistance on quasireversible charge transfer on a rough electrode

7. Theory for the anomalous current transient due to quasireversible charge transfer on a finite fractal electrode

8. Theory for the reversible charge transfer coupled to bulk reaction on a rough and finite fractal electrode

9. Theory of double potential step chronoamperometry at rough electrodes: Reversible redox reaction and ohmic effects

10. Experimental validation of roughness power spectrum-based theory of anomalous Cottrell response

 

Chronoabsorptiometry of Rough Electrodes

1. Theory for the absorbance transient on rough and finite fractal OTE: E and EC' cases

2. Electrochromic response of nanostructured conducting polymer electrodes

Chronocoulometry

1. Theory for the generalized Anson equation on rough and finite fractal electrode

2. Theory for the chronocoulometry of reversible charge transfer in presence of uncompensated solution resistance on rough electrodes

Voltammetric Response of Rough Electrodes

1. General theory for the linear and cyclic voltammetry on rough electrode

2. Theory for staircase voltammetry on fractal electrodes: Anomalous Randles - Sevčik behavior

3. Theory for Anomalous Response in Cyclic Staircase Voltammetry: Electrode Roughness and Unequal Diffusivities

4. General theory for pulse voltammetric techniques on rough electrodes for reversible redox systems with unequal diffusivities: DPV, SCV, CSCV, SWV

5. General theory for pulse voltammetric techniques on rough electrodes for multistep reversible charge transfer: DPV, SCV, CSCV, SWV

Chronopotentiometry of Rough Electrodes

1. Theory for the chronopotentiometric transient on rough and finite fractal electrode: Generalized Sand equation

Experiments on Nano-/ Micro-structured Electrodes and Sensors

1.    Experimental validation of theory of chronoamperometry on nanoparticles deposited porous gold electrodes: Topography characterization through hybrid CV and SEM method

2.    Influence of viscosity, uncompensated solution resistance, electric double layer and random convective flow on Chronoamperometry on rough electrodes

3.    Experimental corroboration of general phenomenological theory for dynamics of EDL in viscous medium on rough heterogeneous electrode

4.    Chiral Analysis of L- and D- Ascorbic Acids in Bovine Serum and buffer medium using Ultrathin Molecular Imprinted Polyaniline/Graphite Electrode: EIS approach

 

Polymers Dynamics and Artificial Muscles

1. Dynamics of entangled H-polymer and miscible polymer blends

2. Dynamics and thermodynamics of artificial muscles based on nematic polymer gels

3. Stretch dynamics of flexible dendritic and star polymers in solution

4. Dynamics of branched polymers in random flows: Star, Dendrimers and Comb-of-Comb Networks