Convert Light Year (ly) to Bohr Radius (a₀) instantly.
About these units
Light Year (ly)
A light year is the distance that light travels in a vacuum in one Julian year, equal to approximately 9.4607 × 10¹⁵ meters. Despite its name, it is a unit of distance, not time. The light year arose from the need to express vast astronomical separations using a concept familiar to laypeople: the finite speed of light. By linking distance to time, it becomes easier to comprehend that observing distant stars is also an act of looking back in time. The light year is especially useful when describing the locations of nearby stars, nebulae, and star-forming regions. For example, Proxima Centauri lies roughly 4.24 light years away. Because light moves at about 300,000 km/s, even the nearest galactic objects are many trillions of kilometers distant, making ordinary units impractical. One of the light year's greatest strengths is how vividly it illustrates the immensity of space. When astronomers say a galaxy is millions of light years away, they convey not only a vast spatial separation but also the staggering temporal depth of the universe. The light year therefore plays a dual role as both a scientific measurement and an educational tool that grounds cosmic distances in a memorable framework.
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.