Convert Kilometer (km) to Bohr Radius (a₀) instantly.
About these units
Kilometer (km)
A kilometer is equal to one thousand meters and serves as the standard large-scale terrestrial distance unit in nearly all countries that use the metric system. It provides a convenient middle ground between the human walking scale and the geographic scale of cities, regions, and countries. Road signs, maps, geographic information systems, and national transportation networks rely heavily on kilometers to express distances succinctly and uniformly. Because kilometers integrate seamlessly into the metric system, they also appear in scientific contexts—ranging from geologic fault lengths to atmospheric layer thicknesses. In natural disasters such as earthquakes or volcanic eruptions, distances from epicenters or vents are often measured in kilometers to communicate scale effectively to the public. The kilometer's widespread use demonstrates the power of the metric system's decimal structure, offering simplicity and international standardization.
Bohr Radius (a₀)
The Bohr radius, equal to approximately 5.29177 × 10⁻¹¹ meters, is the most probable distance between the electron and nucleus in the ground state of hydrogen according to the Bohr model. While modern quantum mechanics has evolved far beyond the Bohr model, the radius remains a remarkably accurate approximation for average atomic dimensions. The Bohr radius acts as a natural "yardstick" for the size of atoms and is frequently used in atomic physics and quantum chemistry. Many atomic properties — orbital sizes, electron probability distributions, and energy levels — are conveniently expressed in multiples of the Bohr radius. Because it reflects fundamental constants, including Planck's constant and the electron charge, the Bohr radius also appears in theoretical analyses of physical systems and helps unify atomic physics concepts across different contexts.