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The frequency-energy equation \( f = \frac{E}{h} \) relates the frequency of electromagnetic radiation to its energy, where E is the energy of a photon and h is Planck's constant. This fundamental relationship is crucial in quantum mechanics and photonics.
The calculator uses the frequency-energy equation:
Where:
Explanation: This equation demonstrates the direct proportionality between the energy of a photon and its frequency, with Planck's constant as the proportionality factor.
Details: Calculating frequency from energy is essential in various scientific fields including quantum physics, spectroscopy, photochemistry, and telecommunications. It helps determine the characteristics of electromagnetic radiation and its interaction with matter.
Tips: Enter energy in joules and Planck's constant in joule-seconds. The default value for Planck's constant is set to 6.626 × 10⁻³⁴ J s. Both values must be positive numbers.
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: What are typical energy values for photons?
A: Photon energies vary widely. Visible light photons have energies around 10⁻¹⁹ J, while gamma ray photons can have energies up to 10⁻¹³ J or higher.
Q3: How is this equation used in real applications?
A: This equation is used in spectroscopy to identify materials, in photovoltaic cells to calculate optimal frequencies, and in quantum computing to manipulate qubit states.
Q4: Are there limitations to this equation?
A: This equation applies specifically to individual photons. For macroscopic systems or particles with mass, different equations (like E = mc² or E = ½mv²) apply.
Q5: Can this calculator handle very small energy values?
A: Yes, the calculator is designed to handle extremely small values typical of quantum-scale energies, though extremely small values may approach computational limits.