Convert Electron Compton wavelength to attohertz [aHz] Online | Free frequency-wavelength Converter

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.

Measuring Ultra-Low Frequencies

The attohertz (aHz) is an extremely small unit of frequency equal to 10⁻¹⁸ hertz, or one cycle per 10¹⁸ seconds (about 31.7 billion years). This unit is used to describe ultra-low frequency phenomena that occur on cosmic or geological timescales, far beyond everyday human experience.

Attohertz frequencies are relevant in cosmology, astrophysics, and geophysics, where they help scientists study processes that evolve over billions of years. For example, gravitational waves generated by massive cosmic events or the oscillations of the Earth’s magnetic field can be characterized by frequencies in the attohertz range. These waves have enormous wavelengths, often spanning millions or billions of kilometres.

Because the attohertz corresponds to such a long period between cycles, it is mostly used in theoretical research rather than practical applications. Understanding phenomena at this scale gives insight into the fundamental workings of the universe, including the slow evolution of cosmic structures, the expansion of space-time, and the early conditions following the Big Bang.