Answer
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It is much harder to explain the line spectra of polyelectronic atoms and ions compared to hydrogen and hydrogen-like ions because polyelectronic atoms have multiple electrons that interact with each other through electron-electron repulsion. The presence of multiple electrons in different energy levels and orbitals makes the quantum mechanical calculations more complex.
For hydrogen and hydrogen-like ions (having only one electron), the electron-nucleus interaction dominates, and the energy levels can be calculated using simpler equations, such as the Schrödinger equation. However, for polyelectronic atoms, the many-electron interactions lead to splitting of energy levels and more intricate spectral patterns that require advanced quantum mechanical models and computational methods.
