Atomic units of force to Newtons Converter

1 atomic unit of force (Eh/a₀) equals 8.2387235 × 10-8 newtons (N).

Quick answer

  • 1 atomic unit of force = 8.2387235 × 10-8 newtons
  • 1 newton = 12,137,802.66 atomic units of force
  • Formula: N = Eh/a₀ × 8.2387235 × 10-8

1 atomic unit of force = 8.2387235 × 10-8 newtons

How to convert atomic units of force to newtons

N = Eh/a₀ × 8.2387235 × 10-8

To convert atomic units of force to newtons, multiply the number of atomic units of force by 8.2387235 × 10-8.

Example: 1 Eh/a₀ to N

  1. Start with the value in atomic units of force: 1 Eh/a₀.
  2. Multiply by 8.2387235 × 10-8: 1 × 8.2387235 × 10-8 = 8.2387235 × 10-8.
  3. Result: 1 atomic unit of force = 8.2387235 × 10-8 newtons.

Going the other way, 1 newton = 12,137,802.6609 atomic units of force, so to convert newtons back to atomic units of force you divide by the same number. See newtons to atomic units of force.

Atomic units of force to newtons conversion table

Atomic units of force (Eh/a₀)Newtons (N)
1 Eh/a₀ 8.2387235 × 10-8 N
2 Eh/a₀ 1.6477447 × 10-7 N
3 Eh/a₀ 2.471617 × 10-7 N
4 Eh/a₀ 3.2954894 × 10-7 N
5 Eh/a₀ 4.1193617 × 10-7 N
6 Eh/a₀ 4.9432341 × 10-7 N
7 Eh/a₀ 5.7671064 × 10-7 N
8 Eh/a₀ 6.5909788 × 10-7 N
9 Eh/a₀ 7.4148511 × 10-7 N
10 Eh/a₀ 8.2387235 × 10-7 N
100 Eh/a₀ 0.000008238723 N

What is an atomic unit of force?

The atomic unit of force is the force between the proton and electron in a hydrogen atom at the Bohr radius.

More about atomic units of force →

What is a newton?

The newton is the SI unit of force, named after Isaac Newton.

More about newtons →

Convert atomic units of force to other units

Convert other units to newtons

Frequently asked questions

How many newtons are in an atomic unit of force?

One atomic unit of force is 8.2387235e-8 newtons.

How many atomic units of force are in a newton?

One newton is 12,137,802.66 atomic units of force.

What is the formula to convert atomic units of force to newtons?

N = Eh/a₀ × 8.2387235 × 10^-8.