Astronomical Unit To Bohr Radius (Au To A?) Converter

The Astronomical Unit To Bohr Radius (Au To A?) Converter is a handy tool designed to help you convert measurements from astronomical units (AU) to Bohr radii (A?). This is useful in fields like astronomy and atomic physics where different units are used to describe distances at vastly different scales.

An astronomical unit (AU) is a standard unit of length used to describe distances within our solar system. It is approximately equal to the average distance from the Earth to the Sun, which is about 149,597,870.7 kilometers or roughly 149.6 million kilometers.

The Bohr radius (A?) is a fundamental physical constant that represents the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state. Its value is approximately 0.529177211 x 10?¹? meters, or about 0.529 nanometers.

The conversion between AU and A? involves understanding their respective values and applying the appropriate formula. The basic formula to convert from astronomical units to Bohr radii is:

Number of A? = (Distance in AU) × (1 AU in meters) ÷ (Bohr radius in meters)

Using the known constants, this becomes:

Number of A? = (Distance in AU) × 1.496 × 10¹¹ meters ÷ 0.529177211 × 10?¹? meters

This conversion allows you to easily switch between the astronomical scale and atomic scale, making it easier to understand and compare distances across different fields of science.