Write the theoretical value and experimental value of the Rydberg constant,including the unit.

(N/A) The Rydberg constant $(R)$ is a fundamental physical constant related to the atomic spectra of hydrogen.
The theoretical value of the Rydberg constant is derived from the formula:
$R = \frac{m_e e^4}{8 \epsilon_0^2 h^3 c}$
where $m_e$ is the electron mass,$e$ is the elementary charge,$\epsilon_0$ is the vacuum permittivity,$h$ is Planck's constant,and $c$ is the speed of light.
Substituting the standard values:
$R \approx 1.0973731568 \times 10^7 \ m^{-1}$.
The experimental value is determined through high-precision spectroscopy of hydrogen atoms and is found to be consistent with the theoretical value:
$R \approx 1.0973731568 \times 10^7 \ m^{-1}$.