Calculator Input
The page stays in a single-column flow, while the form fields use a responsive 3-column, 2-column, and 1-column structure.
Formula Used
1) Photon energy from frequency
E = h f
2) Wavelength from frequency
λ = c / f
3) Photon momentum
p = E / c
4) Total energy for many photons
Etotal = N h f
Here, h is Planck’s constant, f is frequency, c is the speed of light, and N is photon count. The calculator also converts energy into electronvolts for easier interpretation in atomic and optical physics.
How to Use This Calculator
- Enter the known frequency value.
- Select the matching unit, such as Hz, GHz, or THz.
- Enter the number of photons when total energy matters.
- Choose decimal precision for the displayed answers.
- Set graph span and graph points for the chart.
- Click Calculate Photon Energy.
- Read the result block above the form.
- Use the CSV or PDF buttons to export the result table.
Example Data Table
| Source Type | Frequency (Hz) | Energy (eV) | Wavelength (nm) |
|---|---|---|---|
| FM Radio | 1.000000e+8 | 4.135668e-7 | 2.997925e+9 |
| Microwave | 2.450000e+9 | 1.013239e-5 | 1.223643e+8 |
| Infrared | 3.000000e+13 | 0.12407 | 9993.081933 |
| Green Light | 5.400000e+14 | 2.233261 | 555.171219 |
| Ultraviolet | 1.000000e+15 | 4.135668 | 299.792458 |
| X-Ray | 3.000000e+18 | 12407.003091 | 0.099931 |
FAQs
1) What does this calculator find?
It calculates photon energy from frequency using Planck’s relation. It also shows wavelength, momentum, wave period, equivalent temperature, and total energy for multiple photons.
2) Why is energy shown in both joules and electronvolts?
Joules are the SI unit of energy. Electronvolts are more convenient for atomic, optical, and quantum calculations because the numbers are easier to read.
3) Can I enter scientific notation?
Yes. Values such as 5.4e14 work well for visible light frequencies. Scientific notation is especially useful for very large or very small physical quantities.
4) What happens when I increase frequency?
Photon energy increases linearly with frequency. Doubling the frequency doubles the photon energy. The graph makes this direct proportionality easy to inspect.
5) Does photon count affect single-photon energy?
No. Single-photon energy depends only on frequency. Photon count changes the total combined energy, not the energy of one photon.
6) Why does wavelength decrease when frequency rises?
For electromagnetic waves in vacuum, wavelength equals speed of light divided by frequency. Since light speed is constant, a larger frequency produces a shorter wavelength.
7) Is this calculator suitable for classroom physics?
Yes. It is useful for homework, lab preparation, optics topics, and quick checks in quantum physics lessons involving light frequency and photon energy.
8) What is the equivalent temperature output?
It expresses photon energy as E/kB. This does not mean the photon has a normal material temperature, but it helps compare energy scales.