What is the unit of the Rydberg Constant?

Question

In the image, the Rydberg constant seems to have two units. How is that possible? enter image description here

Inverse centimeters are/were a commonly used unit for spectroscopy. http://how-it-looks.blogspot.com/2010/07/how-to-convert-to-and-from-wavenumbers.html — Jon Custer, Jun 28 '19 at 18:14

score 4 · Accepted Answer · answered Jun 28 '19 at 18:18

To convert between joules (units of energy) and inverse centimetres (conventional units of wavenumber) simply requires multiplication by a factor of $hc$. This is because

$$E = h\nu = \frac{hc}{\lambda} = hc\bar\nu$$

Of course, they are not literally equal, but they are physically equivalent.

What is the unit of the Rydberg Constant?

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