Convert Bohr Radius (a₀) to Earth's Distance from Sun (AU (es)) 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.
Earth's Distance from Sun (AU (es))
The average distance from the Earth to the Sun is approximately 1 astronomical unit (AU) = 149,597,870.7 km. This distance forms the basis for measuring interplanetary distances within the solar system. Astronomers rely on the AU to calculate orbital periods, planetary alignments, and the intensity of solar radiation at different planets. Its precise measurement comes from radar ranging to planets, spacecraft telemetry, and observations of orbital mechanics. The AU provides a human-scaled reference for the vast distances in the solar system, bridging Earth-based intuition with astronomical scales. It is a cornerstone unit in celestial mechanics and planetary science.