For hydrogen, what is the wavelength of the photon emitted when an electron drops from a 4d orbital to a 2p orbital in a hydrogen atom? The Rydberg constant is 1.097 × 10-2 nm-1.
February 20th, 2023
##lambda=485.4″nm”##
The Rydberg Expression gives:
##1/lambda=R[(1)/(n_1^(2))-(1)/(n_2^(2)]]##
##R## is the Rydberg Constant = ##1.097xx10^(-2)nm^(-1)##
##n_1=2##
##n_2=4##
These refer to the principle of the energy levels which the electrons transition from.
##1/lambda=1.097xx10^(-2)[0.25-0.0625]=0.00206nm^(-1)##
##lambda=485.4″nm”##
The sub – shells d and p given are irrelevant to the question as, in the hydrogen atom, the sub – shells within an energy level are degenerate (of the same energy).