Question

Be^3+ has a single electron. Calculate the frequencies and wavelengths of light in the emission spectrum of the ion for the first three lines of each of the series that are analogous to the Lyman and the Balmer series of neutral hydrogen. In what region of the spectrum does this radiation lie?

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a. v 21=(3.29×1015s1×42×(112122))=3.94×1016s1_{2 \rightarrow 1} = (3.29 \times 10^{15} s^{-1} \times 4^2 \times (\dfrac {1}{{1}^2} - \dfrac {1}{{2}^2})) = 3.94 \times 10^{16} s^{-1}

v = 3.29 ×1015s1×Z2×(1nf21ni2)\times 10^{15} s^{-1} \times Z^2 \times (\dfrac {1}{{n_f}^2} - \dfrac {1}{{n_i}^2})

nf_f = 1

ni_i = 2

Z(Be) = 4

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