Frequency of Radiation Absorbed or Emitted during Transition Calculator

Frequency of Photon Formula:

\[ \nu_{photon} = \frac{\Delta E}{h} \]

Frequency of Photon (ν):

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1. What is the Frequency of Radiation Formula?

The frequency of radiation absorbed or emitted during a transition is calculated using Planck's equation, which relates the energy difference between quantum states to the frequency of the electromagnetic radiation involved in the transition.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \nu = \frac{\Delta E}{h} \]

Where:

\( \nu \) — Frequency of photon (Hz)
\( \Delta E \) — Difference in energy between quantum states (J)
\( h \) — Planck's constant (6.626070040 × 10⁻³⁴ J·s)

Explanation: This fundamental equation in quantum mechanics describes the relationship between the energy of a photon and its frequency, where the energy difference between two quantum states equals the energy of the photon absorbed or emitted.

3. Importance of Frequency Calculation

Details: Calculating the frequency of radiation is crucial for understanding atomic and molecular transitions, spectroscopy analysis, quantum mechanics studies, and various applications in chemistry, physics, and materials science.

4. Using the Calculator

Tips: Enter the energy difference in joules (J). The value must be positive and greater than zero. The calculator will automatically use Planck's constant (6.626070040 × 10⁻³⁴ J·s) for the calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for energy difference?
A: The calculator requires energy difference in joules (J). If you have energy in electronvolts (eV), convert to joules first (1 eV = 1.602 × 10⁻¹⁹ J).

Q2: Why is Planck's constant used in this formula?
A: Planck's constant is the fundamental proportionality constant that relates the energy of a photon to its frequency in quantum mechanics.

Q3: What does the frequency tell us about the radiation?
A: The frequency determines the type of electromagnetic radiation (radio, microwave, infrared, visible, ultraviolet, X-ray, or gamma ray) involved in the transition.

Q4: Can this formula be used for both absorption and emission?
A: Yes, the same formula applies to both absorption and emission processes, as the energy difference is the same in both cases.

Q5: What are typical frequency values for atomic transitions?
A: Atomic transitions typically produce frequencies in the ultraviolet, visible, or infrared regions of the electromagnetic spectrum, ranging from 10¹⁴ to 10¹⁵ Hz.