Bohr Radius to Terameter Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Bohr Radius to Terameter
To convert Bohr radii to meters: multiply by 5.29177210903 × 10⁻¹¹.
a₀ = ℏ/(mec α) = 4πε₀ℏ²/(mee²) ≈ 5.29177 × 10⁻¹¹ m, where α is the fine-structure constant.
For example, 1 Bohr Radius (a₀) = 5.291772e-23 Terameter (Tm).
Bohr Radius to Terameter — Common Values
| Bohr Radius (a₀) | Terameter (Tm) |
|---|---|
| 0.1 | 5.291772e-24 |
| 0.5 | 2.645886e-23 |
| 1 | 5.291772e-23 |
| 2 | 1.058354e-22 |
| 5 | 2.645886e-22 |
| 10 | 5.291772e-22 |
| 25 | 1.322943e-21 |
| 50 | 2.645886e-21 |
| 100 | 5.291772e-21 |
| 500 | 2.645886e-20 |
| 1000 | 5.291772e-20 |
About Bohr Radius (a₀)
Definition
The Bohr radius is the most probable distance between the nucleus and the electron in a ground-state hydrogen atom, approximately 5.292 × 10⁻¹¹ meters.
Mathematical Relationship
a₀ = ℏ/(mec α) = 4πε₀ℏ²/(mee²) ≈ 5.29177 × 10⁻¹¹ m, where α is the fine-structure constant.
Conversion Formula
To convert Bohr radii to meters: multiply by 5.29177210903 × 10⁻¹¹.
Practical Applications
Sets the characteristic scale for atomic sizes. Most atoms have radii of 1–3 Bohr radii.
Interesting Facts
The Bohr radius gives atoms their characteristic size of ~1 Å (10⁻¹⁰ m), explaining why matter has the volume it does.
Common Mistakes
Confusing Bohr radius with atomic radius — the Bohr radius is specific to hydrogen; other atoms have different sizes.
Educational Tips
The Bohr radius tells you 'how big atoms are' — about 0.5 angstroms. It's the atomic analog of a ruler for atomic-scale physics.
About Terameter (Tm)
Definition
The terameter is a unit of length equal to 10¹² meters, or one trillion meters (one billion kilometers).
Mathematical Relationship
1 Tm = 10¹² m = 10⁹ km = 6.685 AU.
Conversion Formula
To convert Tm to AU: multiply by 6.685. To convert Tm to km: multiply by 10⁹.
Practical Applications
Expressing outer solar system distances in metric form, though AU is standard.
Interesting Facts
One light-hour is approximately 1.08 Tm. The distance to Pluto's orbit is roughly 5.9 Tm.
Common Mistakes
Confusing tera (10¹²) with other large prefixes. Remember: tera comes after giga in the SI scale.
Educational Tips
Think of the outer solar system: Saturn is about 1.4 Tm from the Sun, a good mental anchor.