*I think the next century will be the
century of complexity* -Stephen W. Hawking (2000)
Significant Research
Contributions of Professor Rama Kant
"Derived
More Than 200 Equations to Address Following Questions in Fundamental
Electrochemistry!"
Stochastic, Quantum
Mechanical, Statistical Mechanical and Phenomenological Models
Electron Transfer, Electronic
Capacitance, Work Function & PZC: Curved and Rough Nanomaterials
1. Theory for Nanoscale Curvature Induced Enhanced Inactivation Kinetics
and Electron Transfer Rates in SARS-CoV-2
2. Theory for Influence of
Metal Electrolyte Interface on Heterogeneous Electron Transfer Rate Constant:
Fractional Electron Transferred Transition State Approach
3. Theory for Potential
of Zero Charge and Capacitance on Metal with Nanocorrugated
Steps
4. Potential
of zero charge for curved metal nanostructured and
rough electrodes in dilute electrolytes
5. Curvature-induced anomalous enhancement or reduction
in the work function of nanostructures of metals with and without solvent
dipole layer
6. Local work function
and PZC nanostructured metal electrode covered with
molecular self assembly
7. Shape
and size dependent Thomas-Fermi model for electronic capacitance in nanostructured metals
8. 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
Inverse Problems: Quantitative
Roughness Characterization of Electrodes
1. In Situ Electrochemical Impedance
Spectroscopic Method for Determination of RMS Roughness, Electroactive
Surface Area and Surface Morphological Convexity
2. Quantitative
roughness characterization and 3D reconstruction of electrode surface using
cyclic voltammetry and SEM image
3. Microscopic
area determination of electrode using Chronoamperometric response of reversible
charge transfer in viscous medium
4. Microscopic
area determination of electrode using EIS response of EDL in viscous medium
5. 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 generalized Gerischer
admittance for quasi-reversible charge transfer on a rough and finite
fractal electrode
10. Theory for the (charge transfer
coupled to bulk reaction) anomalous Gerischer admittance on finite
fractal electrode
11. Generalization of reduced Frumkin-Melik-Gaikazyan (FMG) model for the adsorption
preceding facile charge transfer step on rough and finite fractal electrode
12. Generalization of
Randles-Ershler Admittance for Arbitrary Topography Electrode
13. Theory for
Electrochemical Impedance Spectroscopy of Heterogeneous Electrode with
Distributed Capacitance and Charge Transfer Resistance
14. Modular Theory for
the Dynamics of Ion Transport in Solid State Electrolytes with Grains and
Grain-boundaries
15. Modular Theory
for DC-biased Electrochemical Impedance Response of Supercapacitor
16. Semi-microscopic
Theory for underscreening induced anomalous
diffusion-migration coupling
17. Theory for Influence
of Uncompensated Solution Resistance on EIS of Diffusion Limited Adsorption at
Rough Electrode
Admittance Voltammetric Response of Rough Electrodes
1.
Theory for Admittance Voltammetry of
Reversible Two Step Electron Transfer Process with DC Bias at Rough and Fractal
Electrode
Local
Electrochemical Impedance Spectroscopy(LEIS)
1.
Anomalous Localization of Electrochemical Activity
in Reversible Charge Transfer at Weierstrass Fractal Electrode
2.
Theory for local EIS at rough electrode under
diffusion controlled charge transfer: Onset of whiskers and dendrites
Intensity-Modulated Photocurrent Spectroscopy(IMPS)
1. Theory for IMPS on
Rough and Finite Fractal Dye Sensitized Solar Cell
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
3. Theory of
electrochemical chronocoulometry of a pseudo first
order catalytic process at a rough electrode
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. Static
Structure Factor and Viscoelastic Properties of Dendrimer Grafted Nanoparticles in Solution
2. Dynamics
of nanoparticles grafted polymer in solution: Linear and Star Polymers
3. Dynamics
of branched polymers in random layered flows: Star, Dendrimers
and Comb-of-Comb Networks
4. Stretch
dynamics of flexible dendritic and star polymers in
solution
5. Dynamics
of entangled H-polymer and miscible polymer blends
6. Dynamics
and thermodynamics of artificial muscles based on nematic
polymer gels