Convert Bohr Radius (a₀) to Fathom (US Survey) (fath (US)) instantly.
About these units
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.
Fathom (US Survey) (fath (US))
The US Survey Fathom is defined as 6 US Survey Feet (~1.8288 meters), identical in proportion to the traditional fathom but scaled to the US Survey Foot. Maritime surveys, early river navigation, and hydrographic measurements relied on this unit for determining depths and plotting charts. In terrestrial applications, the fathom occasionally served as a practical measure for large structures or obstacles. Although less relevant in contemporary usage, understanding the US survey fathom is crucial for interpreting historical navigation data, nautical charts, and engineering projects using older measurement systems.