Fluorosence Intensity at Low Concentration of Solute Calculator

Fluorosence Intensity Formula:

\[ I_{LC} = \phi_f \times I_0 \times 2.303 \times \xi \times C_t \times L \]

Fluorosecence Quantum Yield:

Initial Intensity:

W/m²

Molar Extinction Coefficient:

m²/mol

Concentration at Time t:

mol/m³

Length:

meters

Fluorosence Intensity (W/m²):

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1. What is Fluorosence Intensity at Low Concentration?

Definition: This calculator estimates the fluorescence intensity at low solute concentration based on quantum yield, initial intensity, molar extinction coefficient, concentration, and path length.

Purpose: It helps researchers and scientists determine fluorescence intensity in spectroscopic measurements.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ I_{LC} = \phi_f \times I_0 \times 2.303 \times \xi \times C_t \times L \]

Where:

\( I_{LC} \) — Fluorosence Intensity at Low Concentration (W/m²)
\( \phi_f \) — Fluorosecence Quantum Yield (unitless)
\( I_0 \) — Initial Intensity (W/m²)
\( \xi \) — Spectroscopical Molar Extinction Coefficient (m²/mol)
\( C_t \) — Concentration at Time t (mol/m³)
\( L \) — Length (meters)

Explanation: The formula calculates fluorescence intensity by considering the quantum efficiency, excitation intensity, absorption characteristics, sample concentration, and path length.

3. Importance of Fluorescence Intensity Calculation

Details: Accurate fluorescence intensity measurements are crucial for quantitative analysis in spectroscopy, chemical sensing, and biological imaging.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure all values are positive numbers for valid calculations.

5. Frequently Asked Questions (FAQ)

Q1: What is typical quantum yield range?
A: Quantum yield typically ranges from 0 to 1, where 0 means no emission and 1 means every absorbed photon results in an emitted photon.

Q2: How does concentration affect the result?
A: At low concentrations, fluorescence intensity is directly proportional to concentration. At higher concentrations, nonlinear effects may occur.

Q3: What's a typical molar extinction coefficient?
A: This varies widely by molecule, but values often range from 10 to 100,000 m²/mol.

Q4: Why is path length important?
A: Longer path lengths allow more absorption of excitation light, typically leading to greater fluorescence intensity.

Q5: What units should I use?
A: Use consistent SI units as indicated for each input field (W/m² for intensity, m²/mol for extinction coefficient, etc.).