Convert Micrometer (µm) to Bohr Radius (a₀) instantly.
About these units
Micrometer (µm)
A micrometer, or micron, is one-millionth of a meter. It occupies an important niche between nanometer-scale molecular measurements and millimeter-scale visible objects. The micrometer is essential in biology, where it measures cells, bacteria, and tissue structures; in materials science, where it expresses grain sizes and coating thicknesses; and in optics, where it represents wavelengths of infrared radiation. Manufacturing processes, especially semiconductor and micro-electromechanical systems (MEMS), rely heavily on micrometer precision. Even slight variations of a few micrometers can significantly alter performance or failure rates. The accessibility of micrometer-level imaging through modern microscopes has made this unit foundational to many scientific fields.
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.