Convert Mile (US Survey) (mi (US)) to Bohr Radius (a₀) instantly.
About these units
Mile (US Survey) (mi (US))
The US Survey Mile equals 5,280 US Survey Feet (~1,609.347 meters). Slightly longer than the international mile due to the use of the US survey foot, it has been essential for mapping, transportation planning, and geodetic calculations in the United States. Surveyors and engineers relied on the US survey mile to ensure precise alignment of property boundaries, railroad tracks, and infrastructure projects. Over long distances, even small differences between the US survey and international mile can accumulate significantly, necessitating care in measurement. Though the international mile is now standard, the US survey mile remains important for interpreting historical maps, legal descriptions, and older engineering plans.
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.