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Hi - At a glance;


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Hi - Introduction:
Hi - Design and operating principle of Pt/nanoporous
TiO2 radiolytic cell:
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Hi - Structural properties of radiolytic electrode:

Hi - Electrical properties of radiolytic cell:
, where Prad, Pchem, and Pout are radiation power density of source (139.238 μW/cm2), chemical power density in water, and, output power density of device (75.02 μW/cm2), respectively. One possible reason for the high output power density under irradiation is that a certain level of the EHP ionisation energy of beta particles can easily excite electrons because the EHP ionisation energy is much higher than the band gap of each material while a large portion of the spectrum of solar light is below the TiO2 band gap, indicating that the TiO2 layer does not absorb sunlight well. Therefore, beta particles are a reliable energy source for electricity generation via water splitting.TiO2 electrode:
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Hi - Energy absorption of electron beam in the radiolytic
cell using numerical simulation:
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Hi - Generation and behaviour of free radicals under beta radiation:
, ·OH, H·, HO2·, H3O+, OH−, H2O2, H2. High levels of these products are formed by the absorption of 100 eV in the medium. The generated radicals are powerful redox reagents, i.e., eaq− is a strong reducing agent, H· is an equally strong reducing and oxidising agent, and ·OH is a powerful oxidising agent. In water at high pH, eaq− and ·OH are produced in the largest quantities by the beta radiation. The standard potentials of eaq− and ·OH are E0 (H2O/eaq−) = −2.9 VNHE and E0 (·OH/H2O) = +2.7 VNHE, respectively. These two species (eaq− and ·OH) react with water molecules during water radiolysis and then remain in the aqueous solution. They can then no longer react with each other or with surrounding water molecules. Once these two species (eaq−and ·OH) are solvated in an aqueous solution, they can be surrounded by water molecules in a meta-stable state for a few μs. It is well known that water has a very large dielectric constant and consists of polar molecules, which prevent the electrostatic attraction between positive and negative charges and maintain the separated state of charges surrounded by oppositely charged ends of water dipoles. During the long lifetime of solvated electrons, beta radiation will continuously increase the number of solvated electrons in the water until they finally move to the surface of the water, where they are emitted as thermal energy. The floated electrons form the negatively charged surface of water. Theoretically, water has lower standard potential (E0 (H2O/O2) = +0.82 VNHEand E0 (H2O/H2) = −0.41 VNHE) than free radicals, indicating that electrochemical energy of water is lower than that of free radicals. It was also reported that high electrochemical energy of solvated electrons (eaq−) can enable difficult chemical reactions to happen. Moreover, the presence of an external electric field or electromagnetic field can release the solvated electrons from their confined environment of surrounding molecules. This is because eaq− in water has very small diffusion efficiency (4.8 × 10−5 cm2/s) and electron mobility (1.84 × 10−3 cm2/V·s). Solvated electrons in water also need to get over the potential barrier of 0.2 ~ 0.5 eV set by the surrounding rigid water molecule network. Moreover, because water is located between both Pt electrodes (plasmonic layer and counter electrode), if same electrochemical reactions occur on both Pt surfaces, simply no current flow is expected.FDTD simulations of Pt/nanoporous TiO2 on glass under an e-beam irradiation of 546 keV and optical measurement
, where e is the electronic charge, vis the electron velocity, (x0, y0) represents the position of the focused electron beam, z is the direction of the electron velocity, and ûz is the unit vector along the z direction. In the simulation, the current density was modelled as a series of dipoles with a temporal phase delay (z/v) related to the electron velocity, v (in this simulation, v = 0.875c, corresponding to the beta particle's kinetic energy of 546 keV used in the experiment, and c is the velocity of light in free space). We conducted our simulations for three different points denoted 1–3 in the middle of a pore, at the side wall of a pore, and between two pores, as depicted in the figure..jpg)
(a), Cross-sectional view and top view for different e-beam positions marked as 1–3. In this simulation, d, s, t1, and t2 are 10 nm, 200 nm, 50 nm, and 45 nm, respectively. (b), Emission spectra of the Pt/nanoporous TiO2 surfaces at positions 1–3. Arrows indicate the highest peak positions. Mark 4 shows the reflection of Pt/nanoporous TiO2 using an UV-VIS spectrometer. The same coloured dots indicate corresponding peaks of each spectrum. (c–d), Top and cross-sectional views of the near-field intensity distributions on Pt/nanoporous TiO2 at the top level of Pt nanohole at mark 1 for 290 nm. (e–f), Top and cross-sectional views of the near-field intensity distributions on Pt/nanoporous TiO2 at the top level of Pt nanohole at mark 2 for 287 nm. (g–h), Top and cross-sectional views of the near-field intensity distributions on Pt/nanoporous TiO2 at the top level of Pt nanohole at mark 3 for 377 nm. The field intensity is shown on a log scale, [E]2/[E0]2, where E and E0 are the generated and minimum electric field intensities, respectively.
To simulate the near-field electric intensities and emission spectra at the different positions, the induced electric field distributions were calculated by [E]2/[E0]2, where E and E0 are the generated and minimum electric field intensities, respectively, emitted normal and parallel to the Pt surface in the wavelength range of 200 to 700 nm. We investigated the near-field intensity distributions on Pt/nanoporous TiO2 at the different positions under focused electron irradiation using FDTD simulations. As shown in Fig. 5b, the highest emitted spectral peaks were calculated to occur at wavelengths of 293 nm, 517 nm, and 376 nm when the electron irradiation is focused near positions 1, 2, and 3, respectively. These results indicate that the strongest surface plasmon energy (4.23 eV) and field intensity are generated when the nanohole is irradiated. Such strong surface plasmons have been observed in Pt nanostructures at similar energy levels due to an interband transition of the particles. The diffraction pattern is also shown for position 3 on periodic Pt/nanoporous TiO2. To confirm the surface plasmons, we measured the reflectance of Pt/nanoporous TiO2 structures using an UV-VIS spectrometer. As shown in Fig. 5b, marks 1–3 are the calculated emission spectra of Pt/nanoporous TiO2 in water, while mark 4 is the measured reflectance of Pt/nanoporous TiO2 in air. The reflection peaks (colour dots) of mark 4 were found at the similar positions with respect to the simulated emission peaks shown at marks 1–3. The strongest reflection peak (purple arrow) of Pt/nanoporous TiO2 is shown at 245 nm (5.06 eV) by plasmon resonant coupling in air/Pt nanoholes. To understand the surface plasmon phenomena between two materials, we have to solve Maxwell's equation for the electromagnetic wave at the interface between two materials, which has relative dielectric functions ε1 ( = ε′1 + iε″1 = (n12 − κ12) + i(2n1κ1)) and ε2 ( = ε′2 + iε″2 = (n22 − κ22) + i(2n2κ2)) with the appropriated continuity relationship. Real and imaginary parts of the dielectric function are presented. The nj and κj are refractive index and extinction coefficient, respectively, and j is 1 or 2. By boundary conditions, the dispersion relation for a wave propagating on the surface is
, where k ( = k′ + ik″), ω and c are the wave number and the frequency of the wave, the speed of light, respectively. For k′ not to be purely imaginary, ε′1 = (n12 − κ12) < 0 and |ε′1| > ε′2 = (n22 − κ22). Based on this relationship, we have plotted a graph shown in Fig. S7. Since the surface plasmon energy occurs around |ε′1| ≈ ε′2, the surface plasmon wavelengths can be found from crossing points on the Pt line (black line). Compared to the water/Pt (green/black) interface, the air/Pt (blue/black) interface shows the surface plasmon phenomena at a slightly shorter wavelength. These wavelengths at the crossing points (red and green dots) of water/Pt and air/Pt in Fig. S7 are very close to the wavelengths at the strongest reflection peaks (red and green dots) as marked 1 and 4 in Figure 5b. Furthermore, the surface plasmon energy at the Pt/TiO2 interface is consistent with a dip (blue dot) near 450 nm. Therefore, matched data from the emission peak shown at mark 4 in Fig. 5b and the green dot shown in Fig. S7 indicate evidence of plasmon resonant coupling in air/Pt nanoholes under e-beam irradiation. There are only very small amounts of variation among the two layer calculation data (Fig. S7), the multi layer simulation results (Fig. 5b-1 ~ 3) and the experimental data (Fig. 5b-4). In addition, as shown in the electron profiles in Figs. 5c–h, the highest electric field intensities can trace electron irradiation paths (electric dipoles), and simultaneously, the electric field intensities in the Pt/nanoporous TiO2 structures are also strengthened near the electron irradiation paths by surface plasmons generated at the Pt nanoholes.Hi - Discussion:
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