Ethylene bridged samples give emissions at 2.9, 3.3 and 4.2 eV. We already showed that PL peaks at 2.9 and 4.2 eV correspond to methyl terminal groups that are present in these films and porogen residues because the sample was deposited with a porogen. Therefore, the 3.3 eV peak reflects the presence of an ethylene bridge.
4.1. Diagrams of the Energy Levels Calculated by Using Density Functional Theory
Figure 11 shows energy level (Jablonski) diagrams calculated for model molecules reflecting the studied materials.
Figure 11a,b show the energy levels for 1,4-benzene and 1,3,5-benzene bridges. After excitation to the first excited singlet S
1 state, the molecule undergoes ISC to the excited triplet T
1* state. The T
1* state undergoes further structural relaxation to a more stable T
1 state due to the adjustment of molecular geometry to change the electron distribution upon excitation. Due to the large energy gap between ground S
0 and excited S
1 states, the deactivation of energy from the S
1 state may be observed by fluorescence. Otherwise, if ISC occurs, deactivation of energy through phosphorescence of both T
1* and T
1 can be expected. Interestingly, the energy levels of all transitions in 1,4-benzene and 1,3,5-benzene bridges are very similar despite the difference bond structure. UV induced excitation initiating the singlet-singlet (S
0‒S
1) transition has energies of 5.35 and 5.22 eV, which is very close to the maximum PLE energy of 5.4‒5.5 eV measured for 1,4-benzene bridged OSG materials. (
Figure 9c). The energy of the PL photons measured for these films was equal to 3.7±0.1 eV and 3.9 eV for 1,4- and 1,3,5-benzene bridged OSG, respectively. The calculated energies for the triplet – singlet (T
1*‒S
0) transition have very close values equal to 3.94 and 3.91 eV. Taking into account that model molecules were used for calculations, one can conclude that the agreement between the calculated and measured PL and PLE energies is perfect. Therefore, the energy diagrams, presented in
Figure 11(a,b) most likely correctly reflect the electronic transitions leading to PL.
Figure 11c shows the energy diagram for a molecule having both ethylene bridge and methyl terminal groups. After excitation to the first excited singlet S
1 state, molecules undergo ISC into the excited triplet T
1* state. However, the T
1* state is very unstable due to the high energy and undergo Si‒O bond cleavage during optimization instead of relaxing into a more stable T
1 state. Due to the large energy gap between ground S
0 and excited S
1 states, deactivation of the energy from the S
1 state through fluorescence may be observed. Otherwise, if ISC into T
1* state occurs, deactivation of the energy from T
1* through phosphorescence may be expected. The calculated energy for the singlet-singlet (S
0-S
1) transition for this molecule (6.26 eV) is quite close to the measured PLE energy for the sample 1-2 (BTMSE/MTMS 47/53) equal to 6.2 eV (
Figure S8). However, we do not observe the emission of 6.19 eV corresponding to transition T
1*‒S
0. Moreover, after relaxation of T
1* to T
1 state this molecule dissociates forming the radicals shown in
Figure 11c. Nevertheless, the bond dissociation energy (BDE) is equal to 3.6 eV, which is close to PL observed with this compound ~3.3 eV. Simulation by Density Functional theory makes this radiative transition doubtful because of energetically preferential molecular destruction from the triplet state. It can be assumed that the destruction of these molecules occurs in parallel with UV radiation, and therefore the intensity of the characteristic 3.3 eV emission in the films with an ethylene bridge has a relatively low intensity (
Figure 4).
Figure 11d,e show the energy diagrams for two different molecular structures representing methyl-terminated OSG materials. The first one reflects a model SiO
2-like structure where one Si bond is terminated by the methyl radical. In the second structure, we selected tetramethylcyclotetrasiloxane as a model to take into account the possibility of the second (hydrogen) terminal group to be bonded to silicon. However, the energy diagrams in these 2 cases were very similar: 7.07 eV for S
0‒S
1 transition, and 6.83 eV for the T
1* state. Only a small difference can be seen in BDE energy: 4.24 eV and 4.13 eV, respectively. It is obvious that the calculated values are quite different than the measured ones (6.2 eV for PLE and 2.8 eV for PL) although the PLE spectrum contains a band 7.25 eV able to provide S
0–S
1 transition in these molecules. The most important feature is that according to DFT calculations, molecules in the T
1* state become unstable and dissociate to form radicals, as shown in
Figure 11(d,e). The most reasonable assumption that can explain the observed PL bands 2.78 eV in samples 3-1 and 3-2, and also PL bands 2.9 eV in samples 1-1 and 1.2 is PL of dissociation by-products. This mechanism needs additional study. However, PL measurements of the MTMS samples were carried out at 7K, while the DFT calculations correspond to room temperature. Our estimations showed that temperature has little impact on BDE, while the change in the Gibbs free energy of the reaction is significant. The dissociation of the Si‒CH
3 bond in S
0 ground state DG(298K) = 78 kcal/mol and DG(7K) = 90 kcal/mol. For dissociation from the triplet state DG(298K) = –104 kcal/mol and DG(7K) = –86 kcal/mol. Therefore, the probability of the Si‒CH
3 dissociation reaction at 7K is much lower and therefore parallel UV emission can also be expected. Similar phenomena were reported in the papers [
66,
67]. The calculated energy of emission is about 4.2 eV, which overlaps with the peak attributable to carbon residue radiation. For this reason, these peaks are observed in all samples deposited with porogen and containing CH
3 terminal groups.
Therefore, the characteristic PL emission of mesoporous organosilica films corresponds to the introduced carbon fragments. Most probably they do not include emission from oxygen deficient centers (ODC) as it was concluded in the recent publication [
21]. This conclusion is based on our sample preparation strategy: the samples were not exposed to high-energy impacts capable of generating oxygen vacancies (no UV curing, no exposure to ion and plasma radiations). The curing temperature was not higher than 430 °C and it is too low for formation of oxygen deficient centres.[
32] It is necessary to mention that our conclusion is consistent with the results of the ESR study of different low-k materials [
17,
32,
68,
69]. The carbon dangling bond signal at characteristic g ≈ 2.003 has been reported in many studies addressing a broad variety of low-k dielectrics. These references can be found in Review paper [
32] under numbers (306, 307, 316‒321) and some others. Presence of Si vacancies like EX centers or dangling carbon bonds, where the carbon related defects contribute to a higher leakage. The presence of carbon in the film in various forms ranging from the terminal and bridging carbon groups to clusters of elemental carbon originating from porogen or template residuals can give rise to deep energy levels in the insulator bandgap causing low-field leakage currents [
6,
7,
70].
Finally, similar conclusions were drawn based on the results of studying the PL in SiC
xO
y films deposited using thermal CVD [
69]. The films deposited in this way should have similar properties to our MTMS (3-1, 3-2) films containing random porosity and methyl terminal groups. Using a parallel study of PL and ESR, authors concluded that typical structural defects in oxides, e.g., Si-related neutral oxygen vacancies or non-bridging oxygen hole centers cannot be considered as the dominant mechanism for white luminescence from SiC
xO
y. It was concluded that PL from SiC
xO
y thin films can result from the generation of carriers due to electronic transitions associated with the C‒Si/C‒Si‒O bonds during optical absorption, followed by recombination of these carriers between energy bands and in their tail states associated with Si‒O‒C/Si‒C bonds. Although the detailed mechanism may differ from ours, the key importance of the Si‒C and Si‒O‒C bonds is also emphasized.