## Forster Critical Distance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Forster Critical Distance = 0.0211*((Refractive Index of Medium)^(-4)*(Fluorescence Quantum Yield without FRET)*(Orientation Factor)*(Spectral Overlap Integral))^(1/6)
R0 = 0.0211*((η)^(-4)*(Φd)*(κ2)*(J))^(1/6)
This formula uses 5 Variables
Variables Used
Forster Critical Distance - (Measured in Meter) - The Forster Critical Distance is the distance at which the energy transfer efficiency is 50%.
Refractive Index of Medium - Refractive Index of Medium is the refractive index of the donor acceptor medium which is normally between 1.2 to 1.4.
Fluorescence Quantum Yield without FRET - Fluorescence Quantum Yield without FRET is the fluorescence quantum yield of the donor in the absence of the acceptor.
Orientation Factor - Orientation Factor is the spatial orientation factor describing the relative orientation in the space of the transition dipoles of the donor and acceptor.
Spectral Overlap Integral - Spectral Overlap Integral is the overlap integral of the fluorescence emission spectrum of the donor and the absorption spectrum of the acceptor.
STEP 1: Convert Input(s) to Base Unit
Refractive Index of Medium: 1.3 --> No Conversion Required
Fluorescence Quantum Yield without FRET: 0.13 --> No Conversion Required
Orientation Factor: 1.5 --> No Conversion Required
Spectral Overlap Integral: 0.0005 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R0 = 0.0211*((η)^(-4)*(Φd)*(κ2)*(J))^(1/6) --> 0.0211*((1.3)^(-4)*(0.13)*(1.5)*(0.0005))^(1/6)
Evaluating ... ...
R0 = 0.00380032719704193
STEP 3: Convert Result to Output's Unit
0.00380032719704193 Meter -->38003271.9704193 Angstrom (Check conversion here)
38003271.9704193 3.8E+7 Angstrom <-- Forster Critical Distance
(Calculation completed in 00.004 seconds)
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Created by Abhijit gharphalia
national institute of technology meghalaya (NIT Meghalaya), Shillong
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National University of Judicial Science (NUJS), Kolkata
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## < 11 Förster resonance energy transfer Calculators

Forster Critical Distance
Forster Critical Distance = 0.0211*((Refractive Index of Medium)^(-4)*(Fluorescence Quantum Yield without FRET)*(Orientation Factor)*(Spectral Overlap Integral))^(1/6)
Efficiency of Energy Transfer using Rate of Energy Transfer
Efficiency of Energy Transfer = Rate of Energy Transfer/(Rate of Energy Transfer+Rate of Non radiative Transitions+Rate of Radiative Transitions)
Donor Lifetime with FRET using Rate of Energy and Transitions
Rate of Energy Transfer using Distances and Donor Lifetime
Rate of Energy Transfer = (1/Donor Lifetime)*(Forster Critical Distance/Donor to Acceptor Distance)^6
Efficiency of Energy Transfer using Photobleaching Decay Time Constant
Efficiency of Energy Transfer = 1-(Photobleaching Decay Time Constant/Photobleaching Decay Time Constant with FRET)
Efficiency of Energy Transfer using Distances
Efficiency of Energy Transfer = 1/(1+(Donor to Acceptor Distance/Forster Critical Distance)^6)
Efficiency of Energy Transfer using Fluorescence Intensity of Donor
Efficiency of Energy Transfer = 1-(Fluorescence Intensity with FRET/Fluorescence intensity)
Efficiency of Energy Transfer using Rate of Energy Transfer and Donor Lifetime
Efficiency of Energy Transfer = Rate of Energy Transfer/(1/Donor Lifetime with FRET)
Donor Lifetime using Rates of Transitions
Fluorescence Quantum Yield in FRET
Fluorescence Quantum Yield = Number of Photons Emitted/Number of Photons Absorbed
Efficiency of Energy Transfer using Donor Lifetime

## Forster Critical Distance Formula

Forster Critical Distance = 0.0211*((Refractive Index of Medium)^(-4)*(Fluorescence Quantum Yield without FRET)*(Orientation Factor)*(Spectral Overlap Integral))^(1/6)
R0 = 0.0211*((η)^(-4)*(Φd)*(κ2)*(J))^(1/6)

## What is FRET (Förster resonance energy transfer)?

Förster resonance energy transfer (FRET), fluorescence resonance energy transfer, resonance energy transfer (RET) or electronic energy transfer (EET) is a mechanism describing energy transfer between two light-sensitive molecules (chromophores).

## How to Calculate Forster Critical Distance?

Forster Critical Distance calculator uses Forster Critical Distance = 0.0211*((Refractive Index of Medium)^(-4)*(Fluorescence Quantum Yield without FRET)*(Orientation Factor)*(Spectral Overlap Integral))^(1/6) to calculate the Forster Critical Distance, The Forster Critical Distance formula is defined as the Förster distance of this pair of donor and acceptor, i.e. the distance at which the energy transfer efficiency is 50%. Forster Critical Distance is denoted by R0 symbol.

How to calculate Forster Critical Distance using this online calculator? To use this online calculator for Forster Critical Distance, enter Refractive Index of Medium (η), Fluorescence Quantum Yield without FRET d), Orientation Factor 2) & Spectral Overlap Integral (J) and hit the calculate button. Here is how the Forster Critical Distance calculation can be explained with given input values -> 3.8E+17 = 0.0211*((1.3)^(-4)*(0.13)*(1.5)*(0.0005))^(1/6).

### FAQ

What is Forster Critical Distance?
The Forster Critical Distance formula is defined as the Förster distance of this pair of donor and acceptor, i.e. the distance at which the energy transfer efficiency is 50% and is represented as R0 = 0.0211*((η)^(-4)*(Φd)*(κ2)*(J))^(1/6) or Forster Critical Distance = 0.0211*((Refractive Index of Medium)^(-4)*(Fluorescence Quantum Yield without FRET)*(Orientation Factor)*(Spectral Overlap Integral))^(1/6). Refractive Index of Medium is the refractive index of the donor acceptor medium which is normally between 1.2 to 1.4, Fluorescence Quantum Yield without FRET is the fluorescence quantum yield of the donor in the absence of the acceptor, Orientation Factor is the spatial orientation factor describing the relative orientation in the space of the transition dipoles of the donor and acceptor & Spectral Overlap Integral is the overlap integral of the fluorescence emission spectrum of the donor and the absorption spectrum of the acceptor.
How to calculate Forster Critical Distance?
The Forster Critical Distance formula is defined as the Förster distance of this pair of donor and acceptor, i.e. the distance at which the energy transfer efficiency is 50% is calculated using Forster Critical Distance = 0.0211*((Refractive Index of Medium)^(-4)*(Fluorescence Quantum Yield without FRET)*(Orientation Factor)*(Spectral Overlap Integral))^(1/6). To calculate Forster Critical Distance, you need Refractive Index of Medium (η), Fluorescence Quantum Yield without FRET d), Orientation Factor 2) & Spectral Overlap Integral (J). With our tool, you need to enter the respective value for Refractive Index of Medium, Fluorescence Quantum Yield without FRET, Orientation Factor & Spectral Overlap Integral and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know