Atomic units of velocity to Mach (sea level) Converter

1 atomic unit of velocity (a₀Eh/ħ) equals 6,428.90259379 Mach (sea level) (Ma).

Quick answer

  • 1 atomic unit of velocity = 6,428.902594 Mach (sea level)
  • 1 Mach (sea level) = 0.000155547543 atomic units of velocity
  • Formula: Ma = a₀Eh/ħ × 6,428.90259379

1 atomic unit of velocity = 6,428.902594 Mach (sea level)

How to convert atomic units of velocity to Mach (sea level)

Ma = a₀Eh/ħ × 6,428.90259379

To convert atomic units of velocity to Mach (sea level), multiply the number of atomic units of velocity by 6,428.90259379.

Example: 1 a₀Eh/ħ to Ma

  1. Start with the value in atomic units of velocity: 1 a₀Eh/ħ.
  2. Multiply by 6,428.90259379: 1 × 6,428.90259379 = 6,428.902594.
  3. Result: 1 atomic unit of velocity = 6,428.902594 Mach (sea level).

Going the other way, 1 Mach (sea level) = 0.000155547543 atomic units of velocity, so to convert Mach (sea level) back to atomic units of velocity you divide by the same number. See Mach (sea level) to atomic units of velocity.

Atomic units of velocity to Mach (sea level) conversion table

Atomic units of velocity (a₀Eh/ħ)Mach (sea level) (Ma)
1 a₀Eh/ħ 6,428.902594 Ma
2 a₀Eh/ħ 12,857.80519 Ma
3 a₀Eh/ħ 19,286.70778 Ma
4 a₀Eh/ħ 25,715.61038 Ma
5 a₀Eh/ħ 32,144.51297 Ma
6 a₀Eh/ħ 38,573.41556 Ma
7 a₀Eh/ħ 45,002.31816 Ma
8 a₀Eh/ħ 51,431.22075 Ma
9 a₀Eh/ħ 57,860.12334 Ma
10 a₀Eh/ħ 64,289.02594 Ma
100 a₀Eh/ħ 642,890.2594 Ma

What is an atomic unit of velocity?

The atomic unit of velocity, about 2,188 km/s, is the speed of an electron in the Bohr model of hydrogen, 1/137 of the speed of light.

More about atomic units of velocity →

What is a Mach (sea level)?

The Mach number is speed as a multiple of the local speed of sound, named after the physicist Ernst Mach.

More about Mach (sea level) →

Frequently asked questions

How many Mach (sea level) are in an atomic unit of velocity?

One atomic unit of velocity is 6,428.902594 Mach (sea level).

How many atomic units of velocity are in a Mach (sea level)?

One Mach (sea level) is 0.000155547543 atomic units of velocity.

What is the formula to convert atomic units of velocity to Mach (sea level)?

Ma = a₀Eh/ħ × 6,428.90259379.