Roman actus to Bohr radius converter

     

What is Roman actus

The "actus" was a unit of length used in ancient Rome. It was primarily a measure of distance and was approximately equivalent to 120 Roman feet or about 35.5 meters (116.5 feet) in modern measurements.

The actus was commonly used for various purposes in ancient Rome, including land measurement, surveying, and property boundaries. It was also used in the construction of roads, aqueducts, and other civil engineering projects.

It's important to note that ancient Roman units of measurement, including the actus, were not standardized in the same way that modern units are today. Therefore, the exact length of an actus could vary in different regions and over time.

The use of the actus and other Roman units of measurement has largely been replaced by modern metric and imperial systems in contemporary times, but they remain of historical interest and can still be encountered in the study of ancient Roman culture and history.

What is Bohr radius

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:

  • a₀ is the Bohr radius,
  • ε₀ is the vacuum permittivity (approximately 8.854 x 10⁻¹² C²/N·m²),
  • ħ is the reduced Planck constant (approximately 1.054571 x 10⁻³⁴ J·s),
  • me is the electron mass (approximately 9.109 x 10⁻³¹ kg),
  • e is the elementary charge (approximately 1.602 x 10⁻¹⁹ C).

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.

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