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This lecture covers the fundamentals and applications of X-ray spectroscopy, including ARPES, XPS, XMCD, XLD, and EXAFS. It explains the principles behind XAS and XPS, the chemical shifts in core levels, and the spin-orbit coupling effects. The lecture also delves into XMCD theory, element-resolved magnetism, and the measurement of S and L moments via XMCD sum rules. Additionally, it explores the concept of XLD for bond orientation analysis and the working principles of EXAFS. Case studies on enzymes, methane oxidation, and Pd nanoparticles for NH3 oxidation are discussed, showcasing the practical applications of X-ray spectroscopy.