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Use our Quantum Energy calculator to quickly compute photon energy from frequency or wavelength. Step-by-step guide and example included.
Understanding the energy of a quantum is an essential part of physics. A quantum, such as a photon, carries energy that depends on its frequency or wavelength. To make this calculation simple and accurate, we have developed an online Quantum Energy calculator. This tool allows students, scientists, and enthusiasts to quickly calculate quantum energy in Joules or electron volts.
The energy of a single quantum can be calculated using the formula:
E = h × ν
Here, E is the energy of the quantum in Joules, h is Planck’s constant (6.62607015 × 10⁻³⁴ J·s), and ν (nu) is the frequency of the photon in Hertz.
If the wavelength is known instead of frequency, the formula can be written as:
E = h × c / λ
In this formula, c is the speed of light (299,792,458 m/s), and λ (lambda) is the wavelength in meters.
For multiple quanta, the energy is multiplied by the number of photons n:
E = n × h × ν or E = n × h × c / λ
These formulas are widely used in physics and quantum mechanics to determine the energy of light and other particles.
Using our Quantum Energy calculator is straightforward. You can calculate energy from either frequency or wavelength.
First, select the input type: frequency or wavelength.
For frequency input, enter the value of the frequency in Hertz, kilohertz, megahertz, gigahertz, or other supported units. Specify the number of photons if you want to calculate multiple quanta. Then, click Calculate. The calculator will display energy in Joules and electron volts.
For wavelength input, enter the wavelength in meters, centimeters, nanometers, or other supported units. Again, you can specify the number of photons. Click Calculate, and the result will appear step by step.
The calculator also provides a detailed explanation of each step, showing how the input is converted into standard units, how the formula is applied, and the final energy result.
Suppose you have a photon with a frequency of 5 × 10¹⁴ Hz. Using the formula:
E = h × ν
E = 6.62607015 × 10⁻³⁴ × 5 × 10¹⁴
The energy of the photon is 3.313 × 10⁻¹⁹ Joules.
To convert this to electron volts:
E (eV) = E (J) / 1.602 × 10⁻¹⁹
E (eV) = 3.313 × 10⁻¹⁹ / 1.602 × 10⁻¹⁹ ≈ 2.07 eV
This is the energy of a single photon in a visible light spectrum. The same calculation can be done using wavelength. For example, a photon with a wavelength of 600 nm:
E = h × c / λ
E = (6.62607015 × 10⁻³⁴ × 299,792,458) / 600 × 10⁻⁹
The result is approximately 3.31 × 10⁻¹⁹ J, which is the same as using frequency.
Our Quantum Energy calculator is a fast, reliable, and accurate tool for calculating photon energy. Whether you are studying physics, performing experiments, or just curious about quantum mechanics, this calculator allows you to get results in Joules and electron volts in seconds. The step-by-step explanation makes it easy to understand how the calculation is performed.
A quantum is the smallest discrete amount of energy a particle, such as a photon, can carry.
Planck’s constant is a fundamental physical constant that relates the energy of a quantum to its frequency. It is crucial in quantum mechanics calculations.
Yes, the calculator allows you to input the number of quanta. The total energy is multiplied by this number.
Absolutely. You can enter the wavelength, and the calculator will automatically compute energy using the formula E = h × c / λ.
Yes, the calculator provides the energy in both Joules and electron volts.