Convert Millimeter (mm) to Bohr Radius (a₀) instantly.
About these units
Millimeter (mm)
A millimeter is one-thousandth of a meter and is used extensively in fields that require fine control and precision. Engineers and machinists frequently rely on millimeters in technical drawings and machining specifications, since the unit supports very precise tolerances without resorting to decimals. In construction, millimeters provide clarity for component dimensions, door and window fittings, and joinery work. Millimeters are also critical in medical imaging (such as CT or MRI slice thickness), entomology, electronics, and automotive design. Many mechanical failures or malfunctions arise from deviations of only a few millimeters—highlighting the importance of precision. On a more everyday level, rainfall measurements and snow depth reports often use millimeters for accuracy.
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.