Convert Hand (hand) to Bohr Radius (a₀) instantly.
About these units
Hand (hand)
The hand is a traditional unit of length equal to 4 inches, historically used to measure the height of horses. Its origins go back thousands of years, when people commonly relied on body-based measurements. While early hands varied from culture to culture, the modern standardized hand—set at exactly 4 inches—was adopted to bring uniformity to equine measurement worldwide. When measuring a horse, the height is taken at the withers, the ridge between the shoulder blades, because this location provides a stable and consistent point unaffected by head movement. Horse heights are often written in a mixed-unit style: for example, "15.3 hands" means 15 hands plus 3 inches, not 15.3 × 4 inches. Though rarely used outside the world of horsemanship, the hand has become deeply embedded in equestrian culture. It provides a system that is intuitive, easy to visualize, and respectful of longstanding tradition. In modern times, even highly scientific equine breeding and veterinary studies continue to quote measurements in hands.
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.