Theory of dysprosium L₃ xanes free from L₃ core lifetime broadening

The excitation spectrum of the L₃M₅ X-ray emission of Dy³⁺ system in the pre-edge region of Dy L₃ XANES is theoretically investigated based upon a coherent second order optical formula with multiplet coupling effect. The spectral broadening of the excitation spectrum is determined by the M₅ core hole lifetime, being free from the L₃ core hole lifetime. The fine pre-edge structure of L₃ edge due to L₃N_{6, 7} quadrupole transition can be seen in the excitation spectrum, while this structure is invisible in the conventional XANES. The conditions for the excitation spectrum to be regarded as the absorption spectrum with a smaller width are discussed.