Atomic Structure

Spectral line index off by one

What goes wrong

Maps the k-th line of a spectral series to upper level n2 = n1 + k - 1 rather than n1 + k.

Next time

Always anchor the first line at $n_2 = n_1 + 1$ and count up so the $k$ -th line uses $n_2 = n_1 + k$ , never $n_1 + k - 1$ .

Questions that set this trap

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