“…In fact, Figure C compares transmission and ATR spectra of [C 4 C 1 im][CH 3 COO], the latter exhibiting lower intensity of water bands in comparison with the former, being the spectra normalized by an ionic liquid band. The strong variation of the real part of the refractive index, n (ω), within the range of wavenumbers ω of an IR absorption (i.e., the so-called anomalous dispersion as illustrated in Figure D for liquid water (green line), might imply significant differences between ATR and transmission measurements of IR spectra. − The molar absorption coefficient E m , given by E m = A 10 / Cd , where d is the path length, C is the molar concentration, and A 10 is the decadic absorbance following the Beer’s Law, is related to the imaginary part of the refractive index, . ,, On the other hand, Stuchebryukov and Rudoy showed that an ATR spectrum can be considered as the spectrum of the imaginary part of the dielectric constant, ε″(ω). Since the complex dielectric constant, ε̂ = ε′ + iε ″, and refractive index, n̂ = n + ik , are related by the fundamental equation ε̂ = n̂ 2 , then ε′(ω) = n 2 (ω) – k 2 (ω) and ε″(ω) = 2 n (ω) k (ω).…”