“…(1), I is the transmitted intensity, I 0 is the reference intensity, K k is the wavelength-dependent extinction coefficient (cm À1 ), L is the pathlength (cm) [16], N is the particle number density (particles cm À3 ), and r k is the extinction cross section per soot particle (cm 2 ). The extinction cross section r k = À6.6 Â 10 À19 , based on the complex index of refraction (n À ik), proposed by Rawlins et al [17] is adopted.…”