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

A Fundamental Quantum Scale

The proton Compton wavelength is a fundamental constant in quantum physics that represents the wavelength associated with a proton due to its mass. It is defined by the equation λ = h / (mₚ c), where h is Planck’s constant, mₚ is the proton mass, and c is the speed of light. The proton Compton wavelength has a value of approximately 1.321 femtometers (fm) or 1.321 × 10⁻¹⁵ meters. This extremely small length scale reflects the quantum mechanical “size” associated with a proton’s mass and is crucial in fields like particle physics and quantum electrodynamics (QED). While the proton's actual physical radius (as measured in experiments) is slightly smaller, the Compton wavelength defines the scale at which quantum effects, like pair production and virtual particles, become significant. It also sets a natural limit to the precision with which a proton’s position can be known without creating particle–antiparticle pairs. The Compton wavelength is important in calculations involving scattering, nuclear structure, and field interactions. Although tiny, this wavelength plays a big role in helping scientists understand the behavior of matter at the smallest scales of the universe.

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.