For an atom in a solid, the total atomic scattering amplitude can be
subdivided into smooth and oscillating fine structure components,
The smooth component is given by , and its smooth anomalous term, , is usually calculated using the Cromer and Liberman method . The correct values of , however, are given by embedded atom anomalous amplitudes . For the systems discussed in this chapter, the embedded atom corrections were small, and consequently Cromer-Liberman values were used. When there are neighboring atoms, the oscillating component, , with the DAFS complex-valued , contains the spectroscopic and structural information. This separation of f into smooth and oscillatory DAFS components is analogous to the usual XAFS separation of into smooth and oscillatory terms: .