For \(\displaystyle n=1\), the total number of orbital angular momentum states is 1; for \(\displaystyle n=2\), the total number is 4; and, when \(\displaystyle n=3\), the total number is 9, and so on...For \(\displaystyle n=1\), the total number of orbital angular momentum states is 1; for \(\displaystyle n=2\), the total number is 4; and, when \(\displaystyle n=3\), the total number is 9, and so on. Because \(\displaystyle n_i>2\), the assumption that the line was from the Balmer series is possible, but the wavelength of the light did not produce an integer value for \(\displaystyle n_i\).
