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tions. As an example, Figure 4 shows the behavior of absorptivity
at 670 nm in toluene solutions of crude oil #2 (lower curve) and of
solid asphaltenes (upper curve). The data are adapted from
Evdokimov et al., 2003b.
Interrelationship between optical absorption and refractive
index is implied in well-known Kramers–Kronig (K–K) equations.
However, this interrelationship is not immediately proved by simi-
larity of the dependencies in Figure 3, measured at fixed wave-
lengths. The exact K–K formula (Sheik-Bahae, 2004) requires the
knowledge of absorptivity κ in the entire range of wave frequen-
cies :
∫
∞
−
Ω
Ω
+=
0
22
)(
1)(
ω
κ
π
ω
c
n
(3)
Fig. 5. UV/Vis absorptivity spectra in highly diluted (1)
and more concentrated (2) oil solutions.
Figure 5 shows some preliminary experimental data on
UV/Vis absorptivity spectra in solutions of crude oil #1, measured
at asphaltene concentrations of 3.7 mg/l (curve 1) and >320 mg/l
(curve 2). It is clearly seen that a transition from associated to de-
aggregated asphaltenes is accompanied by an emergence of a
strong resonance band, peaked at
∼285 nm.
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