Term-Dependent Hybridization of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>5</mml:mn><mml:mi>f</mml:mi></mml:math>Wave Functions of Ba and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Ba</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>

It is shown that, unlike in neutral Ba, the $4d\ensuremath{\rightarrow}5f$ transitions cannot be neglected in the interpretation of the $4d$ spectrum of ${\mathrm{Ba}}^{++}$. A term-dependent hybridization of the $5f$ wave functions occurs, the effects of which reverse between Ba and ${\mathrm{Ba}}^{++}$, and oscillator strength reappears in the $4d\ensuremath{\rightarrow}\mathrm{nf}$ ($n&gt;~5$) transitions. A second kind of wave-function collapse is identified and its effects are described.

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