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.
The Bohr radius, often denoted as "a₀," is a fundamental physical constant in quantum mechanics and atomic physics. It is named after the Danish physicist Niels Bohr, who made significant contributions to our understanding of atomic structure.
The Bohr radius represents the average distance between the nucleus and the electron in the lowest energy state (ground state) of a hydrogen atom, or a hydrogen-like ion with a single electron (e.g., helium ion with only one electron remaining). It is a key parameter in the Bohr model of the hydrogen atom.
The Bohr radius is defined as:
a₀ = (4πε₀ħ²) / (me²),
where:
When you calculate the Bohr radius using these constants, you get a value of approximately 5.29177210903 x 10⁻¹¹ meters, or about 0.5292 angstroms (Å).
The Bohr radius is a critical parameter in understanding the structure of atoms, particularly hydrogen-like atoms. It provides a basic scale for the size of atomic orbitals and helps in describing the energy levels of electrons in these atoms.