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Frequency of Absorbed Radiation Calculator

Frequency of Absorbed Radiation Formula:

\[ \nu_{mn} = \frac{E_m - E_n}{[hP]} \]

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1. What is Frequency of Absorbed Radiation?

Frequency of Absorbed Radiation is the frequency when the transition occurs between two stationary states that differ in energies of the lower and higher allowed energy states. This concept is fundamental in quantum mechanics and spectroscopy.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \nu_{mn} = \frac{E_m - E_n}{[hP]} \]

Where:

Explanation: The formula calculates the frequency of radiation absorbed when an electron transitions between two energy states, based on the energy difference between those states and Planck's constant.

3. Importance of Frequency Calculation

Details: Calculating the frequency of absorbed radiation is crucial in spectroscopy, quantum mechanics, and understanding atomic and molecular transitions. It helps identify elements and compounds through their unique absorption spectra.

4. Using the Calculator

Tips: Enter energies in joules (J). Ensure Energy of Higher State is greater than Energy of Lower State. Both values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is Planck's constant?
A: Planck's constant (6.626070040 × 10⁻³⁴ J·s) is a fundamental physical constant that relates the energy of a photon to its frequency.

Q2: What are typical energy values for atomic transitions?
A: Atomic transition energies typically range from 10⁻¹⁹ to 10⁻¹⁸ J, corresponding to frequencies in the visible and UV spectrum.

Q3: How is this formula used in spectroscopy?
A: The formula helps determine the frequency of light absorbed during electronic transitions, which is used to identify substances through their absorption spectra.

Q4: Can this formula be used for emission spectra?
A: Yes, the same formula applies to both absorption and emission, as the energy difference determines the frequency of the photon involved.

Q5: What are the units of the result?
A: The frequency is calculated in hertz (Hz), which represents cycles per second.

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