Related Experiment Video
Updated: Jul 12, 2025

11:08
Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
19.0K
Cavity-modified Fermi's golden rule rate constants: Beyond the single mode approximation.
Maximlian A C Saller1, Yifan Lai2, Eitan Geva1
1Department of Chemistrty, University of Michigan, Ann Arbor, Michigan 48109, USA.
The Journal of Chemical Physics
|October 20, 2023
Summary
This study shows that coupling a molecular system to multiple cavity modes significantly enhances Fermi
Area of Science:
- Quantum Chemistry
- Chemical Physics
- Spectroscopy
Background:
- Theoretical framework for estimating cavity-modified equilibrium Fermi's golden rule (FGR) rate constants was previously developed for single cavity modes.
- Understanding molecular system-cavity interactions is crucial for controlling chemical reaction rates.
Purpose of the Study:
- To extend the theoretical framework for FGR rate constants to systems coupled to multiple cavity modes.
- To investigate the cumulative effect of multiple cavity modes on FGR rate constants.
- To analyze conditions for maximizing rate enhancement in the Marcus limit.
Main Methods:
- Theoretical modeling of molecular systems coupled to multiple optical cavity modes.
- Extension of equilibrium Fermi's golden rule (FGR) formalism.
- Analysis within the Marcus limit of rate theory.
Main Results:
- The theoretical framework is successfully extended to multiple cavity modes.
- Coupling to multiple cavity modes can enhance FGR rate constants by orders of magnitude compared to single-mode coupling.
- Conditions for maximizing this enhancement in the Marcus limit are identified.
Conclusions:
- Simultaneous coupling to multiple cavity modes offers a significant pathway for enhancing chemical reaction rates.
- The extended theoretical framework provides a tool for designing systems with optimized cavity-enhanced reaction dynamics.
Related Concept Videos
Standing Waves in a Cavity
940
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
940
Fermi Level Dynamics
258
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
258
Fermi Level
630
The Fermi-Dirac function is represented by an S-shaped curve indicating the probability of an energy state being occupied by an electron at a given temperature. The Fermi level is the energy level at which there is a fifty percent chance of finding an electron, and it is positioned between the lower-energy valence band and the higher-energy conduction band.
At absolute zero temperature, electrons fill all energy states up to the Fermi level, leaving upper states empty. As the temperature rises,...
At absolute zero temperature, electrons fill all energy states up to the Fermi level, leaving upper states empty. As the temperature rises,...
630
Electromagnetic Waves in Matter
3.0K
Electromagnetic waves can travel in the vacuum as well as in matter. For example light, which is an electromagnetic wave, can travel through air, water, or glass.
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the...
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the...
3.0K
IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration
1.4K
A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
According to Hooke's law, the vibrational frequency is directly proportional to...
According to Hooke's law, the vibrational frequency is directly proportional to...
1.4K
Propagation Speed of Electromagnetic Waves
3.4K
Electromagnetic waves are consistent with Ampere's law. Assuming there is no conduction current Ampere's law is given as:
3.4K

