{'fraction_non_alphanumeric': 0.02359550561797753, 'fraction_numerical': 0.0022471910112359553, 'mean_word_length': 5.144827586206897, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
The interelectronic angle in doubly excited states: towards higher N

We extend our examination of the expectation value of the cosine of the interelectronic angle in helium doubly excited states up to relatively high excitation energy (N = 10). As expected, the classification of doubly excited states by approximate quantum numbers breaks down. At the same energy, strongly overlapping resonances occur. However, there are certain Rydberg series which even at relatively high energies still show a regular behaviour. They correspond to the e-Z-e collinear configuration, one of the two collinear configurations which play an important role in the classical counterpart of the helium atom. Surprisingly, the other classically stable Z-e-e or `frozen planet' configuration is not found to decouple from the irregular pattern and seems to be avoided by the quantum mechanical Rydberg states.