Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Carrier Transport01:21

Carrier Transport

823
The generation of electrical current in semiconductors is fundamentally driven by two mechanisms: drift and diffusion. These processes are essential for the functionality and performance of semiconductor-based devices.
Drift Current:
The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:
823
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model01:09

Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model

673
Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
673
Passive Diffusion: Overview and Kinetics01:17

Passive Diffusion: Overview and Kinetics

1.1K
Passive diffusion is a critical process that allows small lipophilic drugs to cross the cell membrane along a concentration gradient. This mechanism's efficiency depends on four primary factors: the membrane's surface area, the drug's lipid-water partition coefficient, the concentration gradient, and the membrane's thickness.
When administered orally, drugs establish a substantial concentration gradient between the gastrointestinal (GI) lumen and the bloodstream, expediting...
1.1K
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models00:57

Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models

260
Physiological pharmacokinetic models, often called flow-limited or perfusion models, typically assume a swift drug distribution between tissue and venous blood, creating a rapid drug equilibrium. This premise is based on the idea that drug diffusion is extremely fast, and the cell membrane presents no barrier to drug permeation. In this scenario, where no drug binding occurs, the drug concentration in the tissue equals that of the venous blood leaving the tissue. This greatly simplifies the...
260

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Modeling Graphene Deformations Induced by Bucky-Ball and Bucky-Bowl Interactions.

Chemphyschem : a European journal of chemical physics and physical chemistry·2026
Same author

Catalytic effect of graphene on the inversion of corannulene using a continuum approach with the Lennard-Jones potential.

Nanoscale advances·2023
Same author

Modelling locust foraging: How and why food affects group formation.

PLoS computational biology·2021
Same author

Exploring Nonlinear Diffusion Equations for Modelling Dye-Sensitized Solar Cells.

Entropy (Basel, Switzerland)·2020
Same author

Continuum Modelling for Interacting Coronene Molecules with a Carbon Nanotube.

Nanomaterials (Basel, Switzerland)·2020
Same author

Conformation of graphene folding around single-walled carbon nanotubes.

Journal of molecular modeling·2018

Related Experiment Video

Updated: Dec 16, 2025

In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation
06:49

In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation

Published on: March 2, 2021

6.6K

A Fractional Diffusion Model for Dye-Sensitized Solar Cells.

B Maldon1, N Thamwattana1

  • 1School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia.

Molecules (Basel, Switzerland)
|July 2, 2020
PubMed
Summary

This study introduces a new fractional diffusion model for electron transport in dye-sensitized solar cells. The model reveals how the fractal geometry of titanium dioxide (TiO2) impacts cell performance, including efficiency.

Keywords:
dye-sensitized solar cellselectron densityfractional diffusionmathematical modellingsubdiffusiontitanium dioxide

More Related Videos

Electrospinning of Photocatalytic Electrodes for Dye-sensitized Solar Cells
09:30

Electrospinning of Photocatalytic Electrodes for Dye-sensitized Solar Cells

Published on: June 28, 2017

10.0K
Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid
08:54

Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid

Published on: January 25, 2020

5.9K

Related Experiment Videos

Last Updated: Dec 16, 2025

In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation
06:49

In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation

Published on: March 2, 2021

6.6K
Electrospinning of Photocatalytic Electrodes for Dye-sensitized Solar Cells
09:30

Electrospinning of Photocatalytic Electrodes for Dye-sensitized Solar Cells

Published on: June 28, 2017

10.0K
Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid
08:54

Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid

Published on: January 25, 2020

5.9K

Area of Science:

  • Materials Science
  • Renewable Energy
  • Nanotechnology

Background:

  • Dye-sensitized solar cells (DSSCs) are a key area of renewable energy research.
  • Accurate modeling of charge transfer is crucial for improving DSSC performance.
  • Existing diffusion models for electron transport in nanoporous semiconductors show limitations.

Purpose of the Study:

  • To propose a novel fractional diffusion model for electron transport in the conduction band of TiO2-based DSSCs.
  • To incorporate the random walk network and fractal geometry of TiO2 into the model.
  • To investigate the impact of TiO2's fractal nature on DSSC performance parameters.

Main Methods:

  • Development of a new mathematical model based on fractional diffusion equations.
  • Numerical solutions were employed to analyze the model.
  • Simulation of electron transport within the nanoporous TiO2 semiconductor.

Main Results:

  • The fractional diffusion model effectively simulates electron transport in TiO2.
  • Demonstrated the significant influence of TiO2's fractal geometry on electron transport dynamics.
  • Quantified the effect of fractal geometry on key performance metrics like short-circuit current density and open-circuit voltage.

Conclusions:

  • Fractional diffusion modeling provides a more accurate representation of electron transport in nanoporous TiO2.
  • The fractal characteristics of TiO2 play a critical role in determining DSSC efficiency.
  • This model offers a pathway for optimizing DSSC design and performance through control of semiconductor nanostructure.