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I'm converting some numbers to atomic units, and it's important that I get it right. Would be happy if someone could reassure me.

I want to convert the units of an electric field measured in kV/cm to atomic units. Here is what I got:

[itex] \frac{kV}{cm}=\frac{10^3}{10^{-2}}\frac{J}{C\cdot m}=10^5\frac{2.29\cdot 10^{17}}{1.60\cdot10^{19}5.29\cdot10^{11}}a.u.=2.71\cdot 10^{-9}a.u.[/itex]

Sincerely,

J