A new energy level table for Al i has been constructed to include hyperfine structure from observations within the last decade. Improvement in accuracy over older tables is about an order of magnitude. The analysis of high-l Rydberg levels utilizing the polarization formula results in a new value for the ionization potential which is 0.110 cm−1 or five standard deviations above the old value.
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Edward S. Chang (1990) studied this question.