Forster Critical Distance Calculator

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Förster resonance energy transfer

✖Refractive Index of Medium is the refractive index of the donor acceptor medium which is normally between 1.2 to 1.4.ⓘ Refractive Index of Medium [η]			+10% -10%
✖Fluorescence Quantum Yield without FRET is the fluorescence quantum yield of the donor in the absence of the acceptor.ⓘ Fluorescence Quantum Yield without FRET [Φ_d]			+10% -10%
✖Orientation Factor is the spatial orientation factor describing the relative orientation in the space of the transition dipoles of the donor and acceptor.ⓘ Orientation Factor [κ²]			+10% -10%
✖Spectral Overlap Integral is the overlap integral of the fluorescence emission spectrum of the donor and the absorption spectrum of the acceptor.ⓘ Spectral Overlap Integral [J]			+10% -10%

✖The Forster Critical Distance is the distance at which the energy transfer efficiency is 50%.ⓘ Forster Critical Distance [R₀]

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Formula

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Forster Critical Distance

Formula

`"R"_{"0"} = 0.0211*(("η")^(-4)*("Φ"_{"d"})*("κ"^{"2"})*("J"))^(1/6)`

Example

`"3.8E^7A"=0.0211*(("1.30")^(-4)*("0.13")*("1.5")*(".0005"))^(1/6)`

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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)*(Φ_d)*(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)*(Φ_d)*(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)

FINAL ANSWER

38003271.9704193 ≈ 3.8E+7 Angstrom <-- Forster Critical Distance

(Calculation completed in 00.004 seconds)

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< 11 Förster resonance energy transfer Calculators

Forster Critical Distance

Go 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

Go 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

Go Donor Lifetime with FRET = 1/(Rate of Energy Transfer+Rate of Radiative Transitions+Rate of Non radiative Transitions)

Rate of Energy Transfer using Distances and Donor Lifetime

Go Rate of Energy Transfer = (1/Donor Lifetime)*(Forster Critical Distance/Donor to Acceptor Distance)^6

Efficiency of Energy Transfer using Photobleaching Decay Time Constant

Go Efficiency of Energy Transfer = 1-(Photobleaching Decay Time Constant/Photobleaching Decay Time Constant with FRET)

Efficiency of Energy Transfer using Distances

Go Efficiency of Energy Transfer = 1/(1+(Donor to Acceptor Distance/Forster Critical Distance)^6)

Efficiency of Energy Transfer using Fluorescence Intensity of Donor

Go Efficiency of Energy Transfer = 1-(Fluorescence Intensity with FRET/Fluorescence intensity)

Efficiency of Energy Transfer using Rate of Energy Transfer and Donor Lifetime

Go Efficiency of Energy Transfer = Rate of Energy Transfer/(1/Donor Lifetime with FRET)

Donor Lifetime using Rates of Transitions

Go Donor Lifetime = 1/(Rate of Radiative Transitions+Rate of Non radiative Transitions)

Fluorescence Quantum Yield in FRET

Go Fluorescence Quantum Yield = Number of Photons Emitted/Number of Photons Absorbed

Efficiency of Energy Transfer using Donor Lifetime

Go Efficiency of Energy Transfer = 1-(Donor Lifetime with FRET/Donor Lifetime)

Forster Critical Distance Formula

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 (Φ_d), Orientation Factor (κ²) & 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)*(Φ_d)*(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 (Φ_d), Orientation Factor (κ²) & 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.

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