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Describing Very Low Frequency Radio Waves

A hectometre (hm) is a unit of length equal to 100 metres, and it is used to describe very long wavelengths in the Very Low Frequency (VLF) and Low Frequency (LF) bands of the electromagnetic spectrum. Wavelengths in the hectometre range correspond to frequencies between approximately 3 kHz and 3 MHz. These long wavelengths are typically used for maritime navigation, military submarine communication, AM radio broadcasting, and time signal transmissions.

For example, a signal at 300 kHz has a wavelength of 1 kilometre, or 10 hectometres, and a signal at 1 MHz corresponds to 3 hectometres. These long wavelengths have the unique ability to travel long distances and penetrate water and the ground, which is why they are used in submarine communications and emergency broadcast systems.

Using hectometres to express wavelength offers a practical scale for understanding wave propagation over great distances. It also aids in antenna design, where very large antennas—often hundreds of metres long—are needed to efficiently transmit or receive these frequencies. Understanding wavelength in hectometres is important in geophysics, radio astronomy, and large-scale communications infrastructure.

A Quantum Scale of the Neutron

The neutron Compton wavelength is a fundamental physical constant that characterizes the quantum behavior of the neutron, a subatomic particle found in atomic nuclei. It is defined as the wavelength of a photon whose energy is equivalent to the rest mass energy of the neutron. Mathematically, it is given by the formula λ = h / (mₙ c), where h is Planck’s constant, mₙ is the neutron mass, and c is the speed of light. The neutron Compton wavelength is approximately 1.319 femtometers (fm) or 1.319 × 10⁻¹⁵ meters. This extremely small length scale reflects the particle-wave duality of neutrons and is important in nuclear and particle physics. It provides a natural scale for processes involving neutron scattering, nuclear reactions, and quantum field theory calculations. Understanding the neutron Compton wavelength helps scientists probe the structure of matter at the smallest scales, such as the size of the neutron itself and interactions inside atomic nuclei. This concept is also essential in interpreting experiments involving neutron beams in materials science, where neutron wavelengths influence diffraction patterns and material properties.