The Kramers-Kronig transform analysis of the Cu DAFS and XAFS measurements was done in two different ways. First, the Kramers-Kronig transform of the normalized Cu(111) DAFS was compared to the XAFS (see Fig. 6a); is dominated by since the and contributions accidentally cancel. The agreement is excellent. Second, the DAFS f' and f'' functions were extracted from the raw data using the Kramers-Kronig method. The resulting f' and f'' functions are compared in Fig. 6b with the Cromer-Liberman and values.
The Kramers-Kronig method f' and f'' functions were splined to determine the associated DAFS and functions. The resulting and functions are compared with the normalized Cu(111) DAFS in Fig. 6c and with the XAFS signals in Fig. 6d. The agreement between these signals is excellent. The Kramers-Kronig iterative fitting procedure is clearly a very useful method for analyzing DAFS data.