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Photon Energy Equation:
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The photon energy equation \( E = h \times f \) relates the energy of a photon to its frequency, where \( h \) is Planck's constant. This fundamental equation in quantum mechanics describes the particle-like properties of electromagnetic waves.
The calculator uses the photon energy equation:
Where:
Explanation: The energy of a photon is directly proportional to its frequency. Higher frequency photons (like gamma rays) carry more energy than lower frequency photons (like radio waves).
Details: Calculating photon energy is essential in quantum physics, spectroscopy, photochemistry, and understanding light-matter interactions. It helps determine whether photons have enough energy to cause electronic transitions or chemical reactions.
Tips: Enter the photon frequency in Hertz (Hz). The frequency must be a positive number. The result will be displayed in Joules (J) using scientific notation for very small values.
Q1: What is Planck's constant?
A: Planck's constant (6.626 × 10⁻³⁴ J·s) is a fundamental physical constant that relates the energy of a photon to its frequency.
Q2: How can I find frequency if I know wavelength?
A: Frequency can be calculated from wavelength using \( f = c/\lambda \), where \( c \) is the speed of light and \( \lambda \) is wavelength.
Q3: What are typical photon energy values?
A: Visible light photons have energies around 10⁻¹⁹ J, while X-ray photons might be 10⁻¹⁵ J or higher.
Q4: Can this equation be used for all electromagnetic radiation?
A: Yes, it applies to all photons across the electromagnetic spectrum, from radio waves to gamma rays.
Q5: Why is the energy value so small?
A: Individual photons carry very small amounts of energy, which is why we usually detect large numbers of photons rather than single ones in everyday experience.