3.1. Right-angle geometry quenching
The absorption spectra were measured at a low concentration of 10− 8 mol/l at the first stage of our study and presented in Fig. 1a. A low concentration is necessary to exclude aggregation processes – the formation of supramolecular ensembles, which may change the shape and position of the spectrum. An intense Soret band or B-zone is observed in the short-wavelength region of the absorption spectrum at 200–450 nm, which corresponds to the allowed transitions with a maximum at 419 nm. 4 bands equidistant from each other are observed in the visible spectral region, which are numbered according to the Stern (Q bands). Their intensity is 5 times lower than for the Soret band. Q-band has vibrational peaks at 514 nm (QY(1,0)), 548 nm (QY(0,0)), 592 nm (QX(1,0)) and 648 nm (QX(0,0)). The photoluminescence (PL) spectrum is presented next to the absorption one on Fig. 1a. PL spectra, in general, consist of two maxima corresponding to a S1→S0 + hνf electron transition with an energy of 1.9-2 eV (655 nm) and to its vibrational sublevel – 1.7–1.8 eV (718 nm), where S1 is the first excited singlet state, S0 is the main singlet state, hνf is the phonon energy [17]. The short-wave band observed in other works [18] which is associated with transitions S2→S0 from the second excited state with an energy of 2.8 eV (450 nm) was not detected in our work due to its proximity to the excitation energy. The diagram of transitions in the electronic structure of porphyrin [19, 20] is shown in Fig. 1b. In fact, the emission from the samples in our experiment is fluorescence. Phosphorescence with long lifetimes is not observed here. It is not hard to notice a mirror symmetry in an absorption and a luminescence spectrum. This phenomenon may be observed when: 1 – the oscillation frequencies in the spectrum are the same for the ground and the excited states; 2 – the dipole moment matrix element of an electron-vibrational transition does not depend on which state the oscillation is applied to; 3 – the distribution function over vibrational states is the same for the ground and the excited states. The cross-point is the energy of the electronic transition at 1.9 eV for our samples. We observe a rather significant overlap of the first absorption band and 655 nm fluorescence maximum as well as a partial overlap of the absorption tail and the 720 nm PL maximum. It may lead to a decrease in the fluorescence intensity which is a quenching.
Processes associated with the PL quenching in liquid mediums may be associated with such physical phenomena as: 1 – the primary inner filter effect is the process of absorption of laser exciting radiation in the solution volume (shown in Fig. 2); 2 – secondary inner filter effect which is an absorption of intrinsic fluorescence by unexcited molecules in the volume of the solution; 3. Förster or fluorescence resonance energy transfer (FRET), which is a mechanism describing energy transfer between two light-sensitive molecules. A donor, initially in its electronic excited state, may transfer energy to an acceptor through nonradiative dipole–dipole coupling. The efficiency of this energy transfer is inversely proportional to the sixth power of the distance between donor and acceptor, making FRET extremely sensitive to small changes in distance and obviously in concentration. Looking ahead, we observed that all these processes exist concurrently. The geometry in which the radiation spectrum is fixed has a strong influence. We used various experimental techniques to separate mentioned processes.
The measurement results at a concentration of 10− 6 mol/l are shown in the Fig. 4. Normalized spectra are shown in the inset to the Fig. 4. All fluorescence measurements of TPP toluene solution were provided by 405 nm laser excitation to the Soret band as the region with the highest absorption. The laser beam installation, passing through the cuvette, corresponds to points 1–4 (showed in Fig. 4), which corresponds to the distances at points: 1 – directly in focus, the excited PL does not pass through the thickness of the solution, 2 – at the thickness of the solution 0.5 cm, 3–1 cm, 4–1.8 cm. This means that the excited PL passes through 1.8 cm of the solution to the point of focus and detection. The concentration was selected so that the laser passed through the cuvette to minimize the primary internal filter. As a result, there is two-times decrease of the intensity of the right maximum at a point 4. The left maximum shifts to the long-wave region. A step appears in the region of 640 nm, which is located near the intersection point of the absorption and PL spectra. This is due to the incomplete overlap of the absorption and PL spectra. It should be noted that almost complete PL quenching in the overlap area occurs already at a distance of 0.5 cm from focus (point 2). A further decrease in the intensity of whole spectra is associated with an overlap of the PL spectrum with the absorption tail (see Fig. 1). It is possible to observe the absence of typical presence of the Förster charge transfer, such as the quenching of only definite bands and re-emission to another bands. To confirm this hypothesis, we compared the estimated Förster radius and the distance between molecules at different concentrations.
The Förster radius was calculated according to the well-known way [21, 22],
$${R}_{0}^{6}=\frac{9000\text{ln}10}{128 {\pi }^{5}{N}_{A}} \frac{{\kappa }^{2}{\varphi }_{f}}{{n}^{4}} J \tilde10 nm$$
1
where \(\kappa\) – dipole orientation factor, \({\varphi }_{f}\) – the quantum yield of the donor fluorescence in the absence of the acceptor, NA – is Avogadro number, J – refers to the spectral overlap between the emission and absorption bands.
The distance between molecules at a definite concentration:
where CM – a molar concentration, V – a volume of a solution. We obtained the distance between the molecules of 220, 35 and 10 nm at concentrations of 10− 7, 10− 5 and 10− 3 mol/l respectively, using formula (2). These values are greater than the typical Förster radius at which resonant energy transfer is possible. The Förster energy transfer becomes possible only at concentrations above 5∙10− 3 mol/l. However, such concentrations are close to the ultimate solubility, according to our data and our experiment conditions.
Therefore, such a phenomenon should be studied in solid phases (films) and in aggregates [23–25], and not observed for solutions.
3.2. Front-surface geometry experiment
The inner filter effects may be minimized when registering the fluorescence in the front-surface geometry. The laser beam falls at an angle of about 45 degrees to the surface of the solution (cuvette front surface). The signal focus is fixing in the same plane. Maximum luminescence is observed at the falling beam point, so further processes occurring in the volume of the solution do not affect at the result. Results of the photoluminescence measuring of solutions at different concentrations are shown in Fig. 5. A wide range of concentrations from 10− 7 to 10− 3 mol/l was considered. Result showed the absence of concentration quenching in the whole concentration range. The dependences of the separated maxima intensities from the concentration are shown in the Fig. 5b. A sublinear increase of fluorescence intensity is observed in a logarithmic scale up to concentrations of 10− 3 mol/l. This means a power-law dependence of the intensity growth with a degree of 1/4, which may be explained by the effect of a secondary inner filter at low concentrations. The nature of the power dependence changes for the last two points on the graphs at the concentration values of 1∙10− 3 mol/l. This probably happens because of the self-absorption at high concentrations. Förster charge transfer is also possible, because the distance between molecules becomes less than 10 nm. However, the impact of these processes is not so significant and does not lead to an intensity decrease with a concentration increase. Firstly, the absorption and luminescence overlap region is only a few percent of the total absorption for concentration over 10− 6 mol/l. There is only a small volume of the solution could luminesce because of the absorption of laser radiation is much stronger. Secondly, at concentrations below 10− 3 mol/l, the Förster charge transfer is impossible for the reasons mentioned above. The solubility limit of the H2TPP in toluene is reached higher than 10− 3 mol/l, which was experimentally determined. Moreover, we suppose that it is impossible to observe concentration quenching for this choice of material and solvent. Here the primary inner filter has the greatest impact. Due to this, only a small volume of the solution can luminesce - not so much of its own PL is distributed among non-luminescent molecules.