Question

Which Rydberg constant should be used for hydrogen atom? `"109737.32 cm"^(-1)` or `"109678.77 cm"^(-1)`?

Answer 1

Only the second one. See these two answers for a fuller description.

What is the difference between the Rydberg constants `R_H = "109678.77 cm"^(-1)` and `R_(oo) = "109737.32 cm"^(-1)`?

What is the difference between the Rydberg constants `R_H = "109678.77 cm"^(-1)` and `R_(H) = 2.18 xx 10^(-18) "J"`?