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Photon Energy Formula:
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The photon energy formula (E = h × f) calculates the energy of a photon based on its frequency. This fundamental equation in quantum mechanics relates the energy of electromagnetic radiation to its frequency, where h is Planck's constant.
The calculator uses the photon energy equation:
Where:
Explanation: The equation shows that the energy of a photon is directly proportional to its frequency. Higher frequency photons (like gamma rays) have more energy than lower frequency photons (like radio waves).
Details: Calculating photon energy is essential in quantum mechanics, spectroscopy, photochemistry, and understanding electromagnetic radiation interactions with matter. It's fundamental to technologies like lasers, solar cells, and medical imaging.
Tips: Enter the frequency of the photon in hertz (Hz). The frequency must be a positive value. The calculator will compute the energy in joules using Planck's constant.
Q1: What is Planck's constant?
A: Planck's constant (h) is a fundamental physical constant that relates the energy of a photon to its frequency. Its value is approximately 6.626 × 10⁻³⁴ joule-seconds.
Q2: Can I calculate energy using wavelength instead of frequency?
A: Yes, using the formula E = h × c / λ, where c is the speed of light and λ is the wavelength.
Q3: What are typical energy values for visible light photons?
A: Visible light photons have energies ranging from approximately 3.1 × 10⁻¹⁹ J (red light) to 4.1 × 10⁻¹⁹ J (violet light).
Q4: Why is photon energy important in chemistry?
A: Photon energy determines whether electromagnetic radiation can cause electronic transitions, break chemical bonds, or initiate photochemical reactions.
Q5: How is this formula used in everyday technology?
A: This principle is fundamental to technologies like photovoltaic cells (solar panels), LED lights, digital cameras, and fiber optic communications.