Convert wavelength in petametres to Electron Compton wavelength Online | Free frequency-wavelength Converter

The Scale of Interstellar and Cosmological Waves

A petametre (Pm) equals 1,000 terametres (10¹⁵ metres), representing unimaginably vast distances that describe the longest electromagnetic wavelengths in the universe. These wavelengths correspond to frequencies in the attohertz (10⁻¹⁸ Hz) and lower ranges, which are mostly relevant in cosmology, astrophysics, and the study of gravitational waves and large-scale cosmic phenomena.

For context, a frequency of 1 attohertz (10⁻¹⁸ Hz) corresponds to a wavelength of approximately 300 petametres. This scale is far beyond any human-made signals and reflects waves that stretch across entire galaxies or even clusters of galaxies. Such waves help scientists study the cosmic microwave background (CMB) fluctuations, the large-scale structure of the universe, and primordial gravitational waves created shortly after the Big Bang.

Using petametres to measure wavelength allows researchers to grasp the vastness of these cosmic oscillations and the slowest processes influencing the universe’s evolution. These extreme wavelengths provide crucial insight into the origins, expansion, and ultimate fate of the cosmos.

A Quantum Limit of the Electron

The electron Compton wavelength is a fundamental constant in quantum physics that represents the limit at which the wave-like nature of an electron becomes significant in high-energy interactions. It is defined by the equation λ = h / (mₑ c), where h is Planck’s constant, mₑ is the mass of the electron, and c is the speed of light. The value of the electron Compton wavelength is approximately 2.426 × 10⁻¹² meters (or 2.426 picometers). This is significantly larger than the Compton wavelengths of heavier particles like the proton or neutron, reflecting the electron's much smaller mass.

The Compton wavelength is important because it sets a quantum limit on how precisely a particle's position can be defined without introducing enough energy to create particle-antiparticle pairs (like an electron and a positron). It plays a key role in quantum electrodynamics (QED), high-energy physics, and particle interactions involving photons and electrons. For instance, Compton scattering, a process where X-rays scatter off electrons, directly involves this wavelength. Understanding the electron’s Compton wavelength helps physicists analyze the structure of matter, radiation–matter interactions, and the behavior of particles at quantum scales.