Exact(59)
The system of Eq. (1) in the new approach is solved by allowing for the summed intensities I 1, I 2, …,I m to slightly deviate from the prescribed values of the target intensities I T1, I T2, …,I Tm.
Experimental results were fitted by two single exponents under normalized intensities (I 1 + I 2 = 1) using LT 9.0 program [21], the corresponding accuracies in lifetimes τ i and intensities I i being not worse ±0.005 ns and 0.5 %, respectively.
The computer program evaluated all 3 n' variations of the coefficients and chose one that yielded a minimal deviation of intensities I 1, I 2, …,I m from the target intensities I T1, I T2, …,I Tm.
The solutions gave us the expressions for the intensities I 1, I 2 and I 3: (2) (3) (4).
The magnitudes of the peak laser intensities I t and I r correspond to the experimental dependencies slope changes.
The accuracies in lifetimes τ i and intensities I i were respectively not worse ±0.005 ns and 0.5%.
Thus, rather than a simple list of intensities (I i ), the data are better envisioned as a list of positions and intensities (x i, y i, I i ).
Figure 6 shows the fitted curves obtained, from which the ratio of D and G band peak intensities (I D /I G) can be obtained.
Bands D (1355 cm−1) and G (1583 cm−1) are narrow and present similar intensities (I D/I G = 0.92).
The resulting accuracy in positron lifetimes τ i and intensities I i under above spectrometer resolution was not worse ±0.005 ns and 0.5%, respectively.
Similar(1)
Notice that f c(t) can be obtained from the experimentally measured intensities I 0), I t) and I eq without knowledge of the absolute value of ΔI C. Therefore, kinetic experiments can be interpreted without knowledge of the coefficient Z in relation [3], which depends on the experimental set up.
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