FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Forster Critical Distance Formula

Fx Copy

LaTeX Copy

The Forster Critical Distance is the distance at which the energy transfer efficiency is 50%. Check FAQs

R 0 = 0.0211 \cdot {({(η)}^{- 4} \cdot (Φ d) \cdot (κ 2) \cdot (J))}^{\frac{1}{6}}

R₀ - Forster Critical Distance?η - Refractive Index of Medium?Φ_d - Fluorescence Quantum Yield without FRET?κ² - Orientation Factor?J - Spectral Overlap Integral?

Forster Critical Distance Example

With values

With units

Only example

Here is how the Forster Critical Distance equation looks like with Values.

Here is how the Forster Critical Distance equation looks like with Units.

Here is how the Forster Critical Distance equation looks like.

3.8E+7 = 0.0211 \cdot {({(1.3)}^{- 4} \cdot (0.13) \cdot (1.5) \cdot (0.0005))}^{\frac{1}{6}}

3.8E+7A = 0.0211 \cdot {({(1.3)}^{- 4} \cdot (0.13) \cdot (1.5) \cdot (0.0005))}^{\frac{1}{6}}

3.8E+7 = 0.0211 \cdot {({(1.3)}^{- 4} \cdot (0.13) \cdot (1.5) \cdot (0.0005))}^{\frac{1}{6}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Physical Chemistry » Category

Physical spectroscopy » fx Forster Critical Distance

Forster Critical Distance Solution

Follow our step by step solution on how to calculate Forster Critical Distance?

FIRST Step Consider the formula

R 0 = 0.0211 \cdot {({(η)}^{- 4} \cdot (Φ d) \cdot (κ 2) \cdot (J))}^{\frac{1}{6}}

Next Step Substitute values of Variables

∴

R 0 = 0.0211 \cdot {({(1.3)}^{- 4} \cdot (0.13) \cdot (1.5) \cdot (0.0005))}^{\frac{1}{6}}

Next Step Prepare to Evaluate

∴

R 0 = 0.0211 \cdot {({(1.3)}^{- 4} \cdot (0.13) \cdot (1.5) \cdot (0.0005))}^{\frac{1}{6}}

Next Step Evaluate

∴

R 0 = 0.00380032719704193m

Next Step Convert to Output's Unit

∴

R 0 = 38003271.9704193A

LAST Step Rounding Answer

∴

R 0 = 3.8E+7A

Forster Critical Distance Formula Elements

Variables

Forster Critical Distance

The Forster Critical Distance is the distance at which the energy transfer efficiency is 50%.

Symbol: R₀

Measurement: LengthUnit: A

Note: Value should be greater than 0.

Formulas to find Forster Critical Distance

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.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Refractive Index of Medium

Fluorescence Quantum Yield without FRET

Fluorescence Quantum Yield without FRET is the fluorescence quantum yield of the donor in the absence of the acceptor.

Symbol: Φ_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Fluorescence Quantum Yield without FRET

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.

Symbol: κ²

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Orientation Factor

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.

Symbol: J

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Spectral Overlap Integral

Other formulas in Förster resonance energy transfer category

Go Efficiency of Energy Transfer using Distances

E = \frac{1}{1 + {(\frac{r}{R 0})}^{6}}

Go Efficiency of Energy Transfer using Rate of Energy Transfer

E = \frac{K T}{K T + K nr + K r}

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

E = \frac{K T}{\frac{1}{ζ DA}}

Go Donor Lifetime using Rates of Transitions

ζ D = \frac{1}{K r + K nr}

How to Evaluate Forster Critical Distance?

Forster Critical Distance evaluator uses Forster Critical Distance = 0.0211*((Refractive Index of Medium)^(-4)*(Fluorescence Quantum Yield without FRET)*(Orientation Factor)*(Spectral Overlap Integral))^(1/6) to evaluate 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 evaluate Forster Critical Distance using this online evaluator? To use this online evaluator 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.

FAQs on Forster Critical Distance

What is the formula to find Forster Critical Distance?

The formula of Forster Critical Distance is expressed as Forster Critical Distance = 0.0211*((Refractive Index of Medium)^(-4)*(Fluorescence Quantum Yield without FRET)*(Orientation Factor)*(Spectral Overlap Integral))^(1/6). Here is an example- 3.8E+17 = 0.0211*((1.3)^(-4)*(0.13)*(1.5)*(0.0005))^(1/6).

How to calculate Forster Critical Distance?

With Refractive Index of Medium (η), Fluorescence Quantum Yield without FRET (Φ_d), Orientation Factor (κ²) & Spectral Overlap Integral (J) we can find Forster Critical Distance using the formula - Forster Critical Distance = 0.0211*((Refractive Index of Medium)^(-4)*(Fluorescence Quantum Yield without FRET)*(Orientation Factor)*(Spectral Overlap Integral))^(1/6).

Can the Forster Critical Distance be negative?

No, the Forster Critical Distance, measured in Length cannot be negative.

Which unit is used to measure Forster Critical Distance?

Forster Critical Distance is usually measured using the Angstrom[A] for Length. Meter[A], Millimeter[A], Kilometer[A] are the few other units in which Forster Critical Distance can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Forster Critical Distance Formula

Forster Critical Distance Example

Forster Critical Distance Solution

Forster Critical Distance Formula Elements

Other formulas in Förster resonance energy transfer category

How to Evaluate Forster Critical Distance?

FAQs on Forster Critical Distance

Variable Name