Photon Energy Calculator
Calculate photon energy, frequency, and wavelength using Planck's equation and electromagnetic spectrum analysis
Calculate Photon Energy
Oscillation frequency of electromagnetic wave
Calculate total energy for multiple photons
Photon Properties
Single Photon
Energy (J): 0.000e+0
Momentum: 0.000e+0 kg⋅m/s
Period: 0 s
Multiple Photons
Count: 1
Total Energy: 0.000 μeV
Total Energy (J): 0.000e+0
Planck's Equation: E = hf = hc/λ = 0.000 eV
Wave-particle duality: f = 0.000 Hz, λ = 0.000 fm
Example Calculation
Green Light Photon
Wavelength: 520 nm (green light)
Frequency: f = c/λ = 3×10⁸ m/s ÷ 520×10⁻⁹ m = 5.77×10¹⁴ Hz
Energy: E = hf = 6.626×10⁻³⁴ × 5.77×10¹⁴ = 3.82×10⁻¹⁹ J
Energy (eV): E = 3.82×10⁻¹⁹ ÷ 1.602×10⁻¹⁹ = 2.38 eV
X-ray Photon
Energy: 10 keV (medical X-ray)
Frequency: f = E/h = 10 keV ÷ 4.136×10⁻¹⁵ eV⋅s = 2.42×10¹⁸ Hz
Wavelength: λ = c/f = 3×10⁸ ÷ 2.42×10¹⁸ = 0.124 nm
Classification: Hard X-ray region
Physics Constants
EM Spectrum Regions
Common Photons
Understanding Photon Energy
What is a Photon?
A photon is a quantum of electromagnetic energy, the fundamental particle of light. Despite having no mass, photons carry both energy and momentum, exhibiting wave-particle duality that is central to quantum mechanics.
Energy-Frequency Relationship
- •Higher frequency means higher energy
- •Energy is directly proportional to frequency
- •Energy is inversely proportional to wavelength
- •Planck's constant is the proportionality factor
Planck's Equation
E = hf = hc/λ
- E: Energy of the photon
- h: Planck's constant (6.626 × 10⁻³⁴ J⋅s)
- f: Frequency of electromagnetic radiation
- c: Speed of light (2.998 × 10⁸ m/s)
- λ: Wavelength of electromagnetic radiation
Note: This equation revolutionized physics by introducing quantum mechanics and explaining blackbody radiation and the photoelectric effect.
Applications of Photon Energy
Quantum Technologies
Photon energy calculations are essential for quantum computing, quantum cryptography, and single-photon detection systems.
Medical Physics
X-ray and gamma-ray energies determine penetration depth and biological effects in medical imaging and radiation therapy.
Spectroscopy
Photon energies reveal molecular and atomic structure through absorption and emission spectroscopy techniques.