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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, with Planck's constant as the proportionality factor.
Details: Calculating photon energy is essential in quantum physics, spectroscopy, photochemistry, and understanding light-matter interactions. It helps determine the effects of electromagnetic radiation on atoms and molecules.
Tips: Enter the frequency in Hertz (Hz) and Planck's constant in Joule-seconds (J·s). The default value for Planck's constant is 6.626 × 10⁻³⁴ J·s.
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 is photon energy related to wavelength?
A: Using the relation \( c = \lambda \times f \), the energy can also be expressed as \( E = h \times c / \lambda \), 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 have energies around 10⁻¹⁵ J.
Q4: Why is photon energy quantized?
A: According to quantum theory, electromagnetic energy is emitted and absorbed in discrete packets called photons, with energy proportional to frequency.
Q5: How is this equation used in practical applications?
A: It's used in designing lasers, analyzing atomic spectra, calculating photoelectric effects, and understanding solar cell operation.