Convert Electron Compton wavelength to wavelength in kilometres 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.

Understanding Extremely Low Frequency Waves

A kilometre (km) is a unit of length equal to 1,000 metres, and in the context of electromagnetic waves, it is used to describe extremely long wavelengths, typically in the Very Low Frequency (VLF) and Extremely Low Frequency (ELF) ranges. These wavelengths correspond to very low frequencies, usually below 300 kHz, and are commonly used in long-distance radio communication, submarine communication, navigation systems, and geophysical research.

For instance, a frequency of 30 kHz has a wavelength of 10 km, while 3 kHz corresponds to a wavelength of 100 km. These long wavelengths can travel great distances, penetrate seawater, and diffuse around obstacles, making them ideal for communication with submerged submarines and in areas where traditional signals cannot reach. ELF waves, with wavelengths of hundreds to thousands of kilometres, are also used in Earth monitoring, such as detecting seismic or lightning activity.

Using kilometres to measure wavelength allows scientists and engineers to understand and design systems for global communication and natural signal monitoring. Although challenging to generate and detect, kilometre-scale wavelengths play a vital role in specialized but critical applications.