Balmer-Rydberg equation

By adapting Balmer s equation, the Swedish physicist Johannes Rydberg was able to show that every line in the entire spectrum of hydrogen can be fit by a generalized Balmer-Rydberg equation ... 

We ll look further at the Balmer-Rydberg equation and see what the integers m and n represent in Section 5.9. 

The Lyman series is given by the Balmer-Rydberg equation with m = 1 and n > 1. The wavelength A is greatest when n is smallest that is, when n = 2 and n = 3. 

Lines in the Brackett series of the hydrogen spectrum are caused by emission of energy accompanying the fall of an electron from outer shells to the fourth shell. The lines can be calculated using the Balmer-Rydberg equation ... 

The discrete wavelengths A of the emission spectra were found by the end of the nineteenth century to be reproduced by a simple empirical formula, the Balmer-Rydberg equation ... 

Here R is 1.097 X 10 m and is known as the Rydberg constant. The n s are positive integers, and is smaller than 2- The Balmer-Rydberg equation was derived from numerous observations, not theory. It is thus an empirical equation. 

Comparing this to the Balmer-Rydberg equation, Bohr showed that the Rydberg constant is equivalent to 2.180 X 10-18 yyg jj g values for h and c to obtain the same... 

Balmer-Rydberg equation An empirical equation that relates wavelengths in the hydrogen emission spectrum to integers. 

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