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Molar Absorptivity Coefficient Formula

Beer's Law:

\[ \varepsilon = \frac{A}{c \times l} \]

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mol/L
cm

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1. What is Molar Absorptivity Coefficient?

The molar absorptivity coefficient (ε) is a measure of how strongly a chemical species absorbs light at a particular wavelength. It is a fundamental constant in spectroscopy that characterizes the absorption properties of a substance.

2. How Does the Calculator Work?

The calculator uses Beer's Law formula:

\[ \varepsilon = \frac{A}{c \times l} \]

Where:

Explanation: Beer's Law states that absorbance is directly proportional to the concentration of the absorbing species and the path length of light through the sample.

3. Importance of Molar Absorptivity

Details: Molar absorptivity is crucial in quantitative analysis, chemical identification, and determining unknown concentrations in spectrophotometric methods. It is specific to each compound and wavelength.

4. Using the Calculator

Tips: Enter absorbance (typically between 0.1-1.0 for best accuracy), concentration in mol/L, and path length in cm. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for molar absorptivity?
A: Values typically range from 10 to 100,000 L·mol⁻¹·cm⁻¹, with higher values indicating stronger absorption.

Q2: Why is molar absorptivity wavelength-dependent?
A: Different compounds absorb light most strongly at specific wavelengths corresponding to their electronic transitions.

Q3: What are the limitations of Beer's Law?
A: Beer's Law assumes monochromatic light, dilute solutions, and no chemical interactions that might affect absorption.

Q4: How is molar absorptivity used in practice?
A: It's used to create calibration curves for quantitative analysis and to identify unknown compounds by comparing absorption spectra.

Q5: Can molar absorptivity be used for mixture analysis?
A: Yes, but it requires measurements at multiple wavelengths and solving simultaneous equations for multi-component systems.

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