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Energy of Emitted Photon Formula:
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The energy of an emitted photon represents the energy difference between two quantum states when an electron transitions from a higher energy level to a lower one. This energy is released in the form of electromagnetic radiation.
The calculator uses the photon energy equation:
Where:
Explanation: The equation calculates the precise energy difference between two quantum states, which determines the frequency and wavelength of the emitted photon according to Planck's equation.
Details: Calculating photon energy is fundamental in quantum mechanics, spectroscopy, and understanding atomic transitions. It helps determine the frequency and wavelength of emitted light, which is crucial for applications in lasers, medical imaging, and astronomical observations.
Tips: Enter both initial and final energy values in joules. Ensure the initial energy is greater than the final energy, as energy is released during emission. Both values must be positive numbers.
Q1: What units should I use for energy values?
A: The calculator uses joules as the standard unit. You may need to convert from electronvolts (1 eV = 1.602 × 10⁻¹⁹ J) if working with atomic energy levels.
Q2: Can this formula be used for absorption as well?
A: For absorption, the formula would be E = E_final - E_initial, representing the energy gained by the electron.
Q3: How does this relate to photon wavelength?
A: The photon wavelength can be calculated using λ = hc/E, where h is Planck's constant and c is the speed of light.
Q4: What if the energy difference is negative?
A: A negative result would indicate absorption rather than emission. For emission, the initial energy must always be greater than the final energy.
Q5: Is this calculation applicable to all types of quantum systems?
A: Yes, this fundamental principle applies to atoms, molecules, and other quantum systems where electrons transition between discrete energy levels.