__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
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 Dynamics Response
in Rough, Porous, Heterogeneous and Nanostructure 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

**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

__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