AllUnitsConverters

Electromagnetic Wave Converter

Convert between wavelength (m, nm, µm), frequency (Hz, MHz, GHz), and photon energy (J, eV).

Result

0

Visual Comparison

Base Unit

Relative Value

1
1
0.9909
0.991
0.0227
0.023
0.0055
0.005
0.0041
0.004

*Diagram shows values relative to the selected base unit (Wavelength).

Unit Information

What is Wavelength?

Wavelength (symbol: λ, lambda) is the spatial period of a periodic wave – the distance over which the wave's shape repeats. For EM waves, it's typically measured in meters (m) or its submultiples like nanometers (nm) for visible light, micrometers (µm) for infrared, or picometers (pm) for X-rays and gamma rays.

What is Frequency?

Frequency (symbol: f or ν, nu) is the number of occurrences of a repeating event per unit of time. For EM waves, it's the number of oscillations of the electric and magnetic fields per second, measured in Hertz (Hz). Multiples like Megahertz (MHz) for radio waves or Terahertz (THz) for far-infrared are common.

What is Photon Energy?

Photon energy is the energy carried by a single photon, the quantum particle of light. It's directly proportional to the electromagnetic wave's frequency. It is often measured in Joules (J), the SI unit, or electronVolts (eV), a unit more convenient for atomic and particle physics scales.

Formulas

c = λ × f

The speed of light (c) is the product of wavelength (λ) and frequency (f).

E = h × f

Photon energy (E) is the product of Planck's constant (h) and frequency (f).

E = hc / λ

Photon energy (E) can also be calculated as Planck's constant times the speed of light, divided by wavelength.

Wavelength (m) = c / Frequency (Hz)

Calculates wavelength from frequency.

Frequency (Hz) = E (J) / h

Calculates frequency from energy in Joules.

Key Reference Points

Examples Across the EM Spectrum
  • FM Radio: Wavelength ~3 meters, Frequency ~100 MHz.
  • Microwaves (e.g., Wi-Fi, ovens): Wavelength ~12 cm (for 2.45 GHz), Frequency in GHz range.
  • Visible Light (Green): Wavelength ~550 nm, Frequency ~545 THz, Photon Energy ~2.25 eV.
  • X-rays (medical): Wavelength ~0.01-10 nm, Photon Energy in keV range.
  • Speed of light (c): Exactly 299,792,458 meters per second in a vacuum.
Energy and Frequency Examples
  • Wi-Fi (2.4 GHz) photon energy is about 10 µeV (micro-electronVolts).
  • Red light (430 THz) has about 1.77 eV of energy per photon.
  • Violet light (750 THz) has about 3.1 eV of energy per photon.
  • Soft X-rays might have energies of a few hundred eV to several keV.
  • The relationship is linear: doubling the frequency doubles the photon energy.

Did You Know?

The Electromagnetic Spectrum

The electromagnetic spectrum is continuous, ranging from very long wavelength, low-frequency radio waves to extremely short wavelength, high-frequency gamma rays. Visible light (what humans see) is only a tiny portion of this spectrum, typically from about 400 nm (violet) to 700 nm (red).

Speed of Light Universality

A cornerstone of Einstein's theory of special relativity is that the speed of light in a vacuum ('c') is constant for all observers, regardless of the motion of the light source or the observer.

Wave-Particle Duality

Electromagnetic radiation exhibits wave-particle duality, meaning it behaves as both a wave (characterized by wavelength and frequency) and a particle (photons, characterized by energy).

Cosmic Microwave Background

The Cosmic Microwave Background (CMB) is faint cosmic background radiation filling all space. It is an important source of data on the early universe because it is the oldest electromagnetic radiation in the universe, dating to the epoch of recombination.

Polarizing Filters

Polarizing filters, used in sunglasses and camera lenses, work by blocking electromagnetic waves that have a specific orientation (polarization), reducing glare reflected from surfaces like water or glass.

Cherenkov Radiation

This is the blue glow seen in nuclear reactors. It's a type of electromagnetic radiation produced when a charged particle passes through a dielectric medium (like water) at a speed greater than the phase velocity of light in that medium.

Antenna Size and Wavelength

The physical size of a radio antenna is directly related to the wavelength of the radio waves it is designed to transmit or receive. Typically, an effective antenna (like a half-wave dipole) is about half the length of the wavelength.

Atmospheric Window

The Earth's atmosphere is opaque to most of the electromagnetic spectrum, but it has 'windows' of transparency. The 'optical window' lets visible light through, and the 'radio window' lets many radio frequencies pass, which is why ground-based astronomy is focused on these ranges.

Doppler Effect for Light

The Doppler effect also applies to light. Light from an object moving away from us is shifted to longer wavelengths ('redshift'), while light from an object moving towards us is shifted to shorter wavelengths ('blueshift'). This is a key tool in astronomy.

Microwave Ovens

Microwave ovens use a specific frequency of microwaves (~2.45 GHz) that is strongly absorbed by water molecules. This absorption causes the water in food to heat up rapidly, cooking the food from the inside out.

Gamma-Ray Bursts

Gamma-ray bursts (GRBs) are the most energetic electromagnetic events known to occur in the universe. They can release as much energy in a few seconds as the Sun will in its entire 10-billion-year lifetime.

Infrared Photography

Infrared cameras detect thermal radiation instead of visible light. This allows them to 'see' heat signatures, making them useful for night vision, building insulation inspections, and medical diagnostics.

The Photoelectric Effect

Explained by Albert Einstein, the photoelectric effect is the emission of electrons when light shines on a material. It demonstrates the particle nature of light (photons), as only photons with sufficient energy (high enough frequency) can knock electrons loose.

James Clerk Maxwell's Prediction

In the 1860s, James Clerk Maxwell developed a set of equations that unified electricity, magnetism, and optics, predicting the existence of electromagnetic waves that travel at the speed of light. This was one of the greatest achievements in the history of physics.

Wien's Displacement Law

This law states that the peak wavelength of thermal radiation emitted by a black body is inversely proportional to its temperature. This is why a heated piece of metal first glows red, then orange, then white as its temperature increases.

Angstrom Unit

The angstrom (Å) is a unit of length equal to 10⁻¹⁰ meters (0.1 nanometers). It's not an SI unit but is still sometimes used in spectroscopy and crystallography to describe atomic-scale distances and wavelengths.

Faraday Rotation

When polarized light passes through a material in the presence of a magnetic field parallel to the light's direction, its plane of polarization rotates. This effect, known as Faraday rotation, is used in optical isolators and sensors.

The Electronvolt as a Unit

Electronvolts (eV) are a unit of energy, but in high-energy physics, they are often used to describe mass (via E=mc²) or even temperature (via E=kT). It's a convenient way to link different physical properties in the quantum realm.

Frequently Asked Questions