Photophysical Properties and Applications of Lanthanoid Helicates - Metallofoldamers: Supramolecular Architectures from Helicates to Biomimetics - page 228

Figure 6.16 (a) Energy transfer processes in low-spin [EuFe(L25) 3 ] 5þ (left) and high-spin
[EuFe(L28) 3 ] 5þ (right); (b) Absorption spectra at 293 K of the helicates in acetonitrile and emis-
sion spectrum of the high-spin [EuFe(L28) 3 ] 5þ complex at 13 K. Adapted with permission from
[96]. Copyright 2001 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

is taken into account, one gets Equations (6.16,6.17):

½

M = k M;Ln

et

k M M d ½ dt ¼ þ ð 6 : 16 Þ

Ln = k M;Ln

et

M k Ln Ln

d ½ dt ¼ ½ ½ ð 6 : 17 Þ

After integration, Equation 6.17 transforms into Equation 6.18:

e k M;Ln

ð

et þ k M

Þ t

M ¼½ M 0 ½ ð 6 : 18 Þ