Convert femtohertz [fHz] to Proton Compton wavelength Online | Free frequency-wavelength Converter

Exploring Extremely Low Frequency Phenomena

The femtohertz (fHz) is a unit of frequency equal to 10⁻¹⁵ hertz, representing one cycle per 1,000,000,000,000,000 seconds—which is about 31.7 million years. This incredibly low frequency scale is used primarily in astrophysics, cosmology, and geophysics to describe ultra-slow oscillations and waves occurring over vast cosmic timescales.

Frequencies in the femtohertz range are associated with phenomena such as primordial gravitational waves, oscillations in the cosmic microwave background radiation, and long-term magnetic or seismic cycles on Earth. These waves have correspondingly immense wavelengths, stretching over billions of kilometres or even larger cosmic distances.

Because femtohertz frequencies are far beyond everyday human experience, they are mostly relevant for understanding the deep-time evolution of the universe and large-scale cosmic processes. Studying such slow oscillations helps scientists learn about the formation of galaxies, the behavior of space-time, and fundamental physical laws governing the cosmos.

Using femtohertz as a measurement allows researchers to quantify these vast time periods and wavelengths, connecting tiny frequency values with the immense scale of astrophysical phenomena and Earth’s geological history.

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.