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This article explores the eigenvalues and spectra of hydrogen and one-electron atoms, emphasizing their behavior under the validity of LS-coupling. We will discuss the unique characteristics of alkali-metal atoms, focusing on their structure and spectral lines. The interactions within these systems provide insights into atomic behavior and transition dynamics. Additionally, we will examine the implications of these findings in the context of both theoretical and experimental physics, enhancing our understanding of atomic spectra.
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Generally true: Within validity of LS-coupling: For one-electron transitions: