The average distance from Earth to the Sun is about 149.6 million kilometers (or approximately 93 million miles). This distance is often referred to as an astronomical unit (AU), which is a standard unit of measurement used in astronomy to describe distances within our solar system. An astronomical unit is defined as the average distance between the Earth and the Sun.
It's important to note that the Earth's orbit around the Sun is not a perfect circle but rather an ellipse, so the distance between Earth and the Sun varies slightly throughout the year. The value given here represents the average distance. The closest point in Earth's orbit to the Sun is called perihelion, while the farthest point is called aphelion. Perihelion occurs around early January, and aphelion occurs around early July. At perihelion, Earth is approximately 147.1 million kilometers (about 91.4 million miles) from the Sun, while at aphelion, it is about 152.1 million kilometers (around 94.5 million miles) away.
In the field of atomic and molecular physics, an "atomic unit of length" is a unit of measurement that is used to express distances at the atomic and molecular scale in a dimensionless way. It is part of a system of atomic units (a.u.) that simplifies calculations involving fundamental physical constants and properties of atoms and molecules.
The atomic unit of length (a.u. of length) is defined in terms of the Bohr radius (a₀), which is a fundamental constant in atomic physics. The Bohr radius is approximately 0.52917721067 angstroms (Å) or 5.2917721067 x 10^-11 meters (m).
In atomic units, the Bohr radius is set to exactly 1 a.u. of length. Therefore, when using atomic units, distances are expressed relative to the Bohr radius, and the value of 1 a.u. of length corresponds to the typical size scale of atomic and molecular structures.
The use of atomic units simplifies many quantum mechanical calculations and allows physicists and chemists to work with dimensionless quantities, making it easier to compare and analyze atomic and molecular properties.