Tetsuya
Kodaira
*a and
Takuji
Ikeda
b
aNational Institute of Advanced Industrial Science and Technology (AIST), 1-1-1 Higashi, Tsukuba, Ibaraki 305-8565, Japan. E-mail: kodaira-t@aist.go.jp
bNational Institute of Advanced Industrial Science and Technology (AIST), 4-2-1 Nigatake, Miyagino, Sendai, 983-8551, Japan
First published on 28th November 2024
Cationic sodium (Na) clusters incorporated into a dehydrated Na-form LTA (Na-LTA) zeolite by the adsorption of Na atoms exhibit diamagnetism regardless of their adsorption amount. These clusters preferentially form in β-cages under the condition of dilute adsorption. In this study, photochromism was observed on the dilute Na-adsorbed Na-LTA, which showed a color change from yellow-green to dark blue-green at room temperature. This phenomenon resulted in dissociation of the diamagnetic Na clusters in β-cages upon light irradiation and thereby in the formation of two metastable Na43+ clusters with C3v symmetry in α-cages from the photoabsorption and electron spin resonance spectra. We also observed photochromism in a sample of insufficiently dehydrated Na-LTA with dilute Na adsorption—i.e., the initial white color changed to blue, then blue-green and finally dark moss-green upon irradiation with UV light. This phenomenon consists of two steps. First, products in the β-cages, formed by the reaction of residual water molecules with adsorbed Na atoms, release electrons upon irradiation. The electrons transfer to the α-cages, forming the metastable Na43+ clusters. Next, the diamagnetic Na clusters are formed in vacant β-cages by the thermal transfer of electrons from the Na43+ clusters in the α-cages. Na clusters including multiple electrons were also formed in the α-cages by long exposure to UV light irradiation, which had a similar effect to increasing the adsorption amount of Na atoms onto the dehydrated Na-LTA. After termination of irradiation, the sample required a week to change its color to light yellow.
The origin of ferromagnetism on the K clusters in K-form LTA with Si/Al = 1 (K-LTA) and the detailed electronic structure of these clusters have been studied across decades, because the many-body problem of electrons (electron correlation) has been a quite difficult issue to clarify.15–21 In contrast, there is a paucity of research on sodium (Na) clusters in Na-form LTA with Si/Al = 1 (Na-LTA), because they merely exhibit diamagnetism.22,23 The locations of the incorporated Na and K clusters in the crystal structure of LTA also differ. Independent of the amount of K atoms adsorbed onto K-LTA, K clusters are formed only in α-cages,24 as shown in Fig. 1, whereas Na clusters are formed in β-cages first, and then in α-cages.25 The numbers of Na clusters in the β-cages take a downward turn when the amount of Na atoms adsorbed onto Na-LTA is increased further.23,25 This means that the ground state energies of the Na clusters in the two types of cages are competing.
Before describing our research strategy, we will explain the characteristics of the alkali–metal clusters in zeolites and the related features of Na-LTA. Alkali–metal clusters in aluminosilicate zeolites are cationic, because the valence s-electron of the adsorbed alkali–metal atom, which is simply called “electron” hereinafter, spreads over the charge-compensating alkali–metal cations for the negatively charged zeolite framework. For example, Na43+ clusters were detected using electron spin resonance (ESR) spectroscopy in Na atom-adsorbed Na-form FAU with Si/Al = 2.0–2.4 (Na-FAU).26,27 Thus, the distribution of Na+ in the initial Na-LTA strongly affects the structures and electronic states of the Na clusters within Na-LTA. In the case of dehydrated Na-LTA which has a chemical composition of (Na12Al12Si12O48)8 per unit cell (UC), its structure (the space group Fmc with a lattice constant of a ≈ 2.46 nm) is illustrated in Fig. 1.28–30 (Detailed structural features are given in Section S1†.) The center of the 6-ring (6R) (Wykoff position: 64g) is occupied by a Na+ ion. There are four sites occupied by Na+ at 8R (Wykoff position: 96i), whose occupancies are 1/4, i.e., one Na+ ion is positioned per 8R. Residual Na+ ions are located at the inner wall of the α-cage, i.e. near the center of the 4-ring (4R) (Wykoff position: 96h), with an occupancy of 1/12. Regarding the distribution of the cations, the sites of the K+ ions and their occupancies affected the structural and electronic properties of the incorporated K clusters in K-form LTAs with Si/Al = 1–3.31–35 Hereinafter, we use the term pseudo unit cell (pUC), Na12Al12Si12O48 (a ≈ 1.23 nm), for convenience, because one α-cage and one β-cage are in the pUC.
Returning to our strategy, some organic dye molecules alter their molecular and/or electronic structures into their isomers upon external stimulations, e.g. light, heat, electric field and so on. This phenomenon with a change of color (optical properties) is called chromism.36–39 Since chromism is usually a reversible phenomenon, the ground state energies of the two isomers before and after the stimulations are close. The Na clusters in the two types of cages of Na-LTA are competing in terms of their ground state energies as mentioned. Creation and annihilation of Na clusters in the periodic nanospace of zeolites by external perturbations might be a new type of chromism. However, despite its potential use in new applications, this fascinating phenomenon has been largely overlooked.
Here, we focused on the dehydrating conditions and the amount of adsorbed Na atoms for sample preparation to induce effective photochromism in Na-LTA. To evaluate this phenomenon, photoabsorption and electron spin resonance (ESR) spectroscopy techniques were adopted as primary tools. We determined the time dependence of the photoabsorption spectra at a second-scale time resolution on light irradiation to obtain information on the dynamic variation of the electronic states of the Na clusters.
Na metal distilled at least three times in vacuo was sealed with dehydrated Na-LTA in an evacuated quartz or borosilicate glass tube. Na metal was adsorbed onto dehydrated Na-LTA through its vapor phase by heating the sample glass tube at 323–373 K in an electric furnace. Optical spectra of the samples with stepwise increased amounts of Na atoms could be obtained by measuring the spectra and adsorbing Na alternately using one sample.
To realize the measurement of DR spectra before and under additional light irradiation to induce photochromism, we used the system described in Section S3.1.† In brief, even if the sample is simultaneously irradiated with light for inducing photochromism and light for the spectral measurement, only the signal from the measurement light will be extractable by using a lock-in amplifier. Before measuring the spectra including photochromic information, we light-irradiated the sample for more than 30 min until the sample color (photoabsorption) became constant.
To detect dynamic phenomena in the optical absorption spectra at a time scale of seconds, we constructed an optical system equipped with a diode array (Section S3.1†). Spectra were measured at both RT and 77 K. We also used a Cary5000 spectrophotometer (Agilent Technologies) to measure the DR spectra in cases where additional light irradiation to induce photochromism was unnecessary.
X-band ESR spectra were measured in a first derivative mode using an ESP300E spectrometer (Bruker) because ESR spectroscopy is known to be a powerful tool for detecting metastable and/or transient unpaired electrons under light irradiation.42,43 Photochromism was induced by using blue LEDs or monochromatic Xe lamp light through the ESR cavity windows (Section S3.2†).
FT-IR spectra were measured to detect residual H2O in the cages of Na-LTA through their –OH stretching bands. The spectra were obtained by using a Nicolet Magna750 spectrometer in diffuse reflectance geometry while keeping the powder samples in the quartz glass tubes. Powder X-ray diffraction (PXRD) patterns were obtained using Rigaku SmartLab and PANalytical Empyrean X-ray diffractometers; scanning electron microscopy (SEM) images were obtained using a Hitachi S4800 scanning electron microscope; and thermogravimetry and differential thermal analysis (TG-DTA) curves were obtained using a Rigaku Thermo plus EVO2 TG-DTA8120. For the direct observation of light irradiation-induced color variation, optical microscopy time-lapse images were recorded using an Olympus SZX10. All the above methods are described in detail in Section S3.3.†
At the initial stage of Na atom adsorption ((a) and (b)), absorption bands at 3.1 and 2.8 eV labeled D1 and D2, respectively, appeared in this order. These bands originate from the Na clusters in β-cages.25 Under light irradiation whose photon energy resonated to these bands, new bands labeled C1 and C2 appeared at 2.0 and 1.65 eV, respectively, instead of the decrease of the D1 and D2 bands. The origin of these newly appeared bands will be discussed later. With increasing Na adsorption (samples (c)–(e) in Fig. 4), the bands labeled P, S1, and S2 appeared at 2.0, 1.4 and 1.2 eV, respectively, and grew irrespective of light irradiation. These three bands were from the Na clusters in α-cages, whose origins were assigned to the surface plasmon-like collective excitation of multiple electrons (P band) and individual one electron-like excitation between quantized electronic levels (S1 and S2 bands).25 It was interpreted that four or six electrons were included in these clusters configuring a spin singlet state providing a diamagnetic property.23 With the growth of these bands, the spectra became insensitive to light irradiation. These results indicate that photochromism occurs efficiently under the condition of dilute Na adsorption. The Na clusters in β-cages are the key, and we can easily imagine that the generated species are formed in vacant α-cages. The possibility of photochromism at 77 K was also examined, but the C1 and C2 bands did not appear under irradiation. The spectrum at 77 K, however, was narrowed compared with that at RT (Fig. S8†). This indicates that an electron–phonon (vibration/displacement of Na+ ions) interaction was present and stabilized these Na clusters against light irradiation at 77 K.
ESR spectra of this sample before and under light irradiation are shown in Fig. 5a. Measurement conditions are given in Table S1.† Meaningful fine structures already exist in the spectrum before light irradiation. We first estimated the density of the unpaired electrons contributing to this spectrum by using the ESR spectrum of paramagnetic copper(II) sulfate pentahydrate (CuSO4·5H2O) crystals as a reference. The estimated density was ca. 4 × 10−4 per pUC (β-cage); the derivation is described in Section S4.4.† As the adsorbed Na atoms were estimated to be ca. 0.1 per pUC, most of the electrons in the Na clusters in β-cages were ESR-silent. This finding is consistent with the previous report that the Na clusters in β-cages are diamagnetic, meaning that they include two electrons in a spin singlet state.23 A few thermally generated ESR active species must be the origin of the fine structures already existing before irradiation. As can be seen in the expanded region of Fig. S9,† very weak photoabsorption corresponding to C1 and C2 bands could be observed.
Upon light irradiation, the fine structures that appear in the ESR spectrum increased their intensities. To elucidate the origin of the photoinduced ESR active species, its component was extracted by subtracting the ESR spectrum before irradiation from that under irradiation, as shown in Fig. 5b. The photoinduced ESR spectrum is centered at the g-value of 2.002 ± 0.002, which is close to the free electron value of g = 2.0023, with ten hyperfine structures (HFSs) in a regular separation of ANa1 = 36.8 ± 0.2 G. Because meaningful traces could be observed on these HFSs, we differentiated the spectrum to obtain the second derivative spectrum, as plotted in Fig. 5c. A set of four weak components with a small splitting of ANa2 = 5.7 ± 0.1 G can be seen for each intense HFS located near the spectral center. From the analogy of the ESR spectrum of naphthalene anions, whose hydrogen atoms (nucleus spin IH = 1/2) can be classified into two symmetric positions, in an organic solution, the present photoinduced ESR spectrum was interpreted.45–47 Two types of Na+ ions with different hyperfine interactions of ANa1 and ANa2 exist. Because the nucleus spin of Na is I = 3/2 (100% abundance), the ten HFSs and the four differential peaks on each HFS correspond to three equivalent Na+ ions and one Na+ ion, respectively. Details are described in Section S4.5.† By simulation, we could completely reproduce the experimental spectrum as shown in Fig. S11.† Combining the results of photoabsorption and the ESR spectra, the photogenerated species is the Na43+ cluster in the α-cage consisting of two types of Na+ ions.
Compared to the Na43+ clusters in the β-cages of Na-FAU observed as 13 lines of HFSs,27 which have the symmetry of Td, the present photogenerated Na43+ clusters have a different point symmetry of D3h or C3v. The latter point symmetry is more likely, because the three equivalent Na+ ions are the main constituent of the cluster and the Na+ ion with the small constant, ANa2, must locate away from the main Na+ ions. Considering this point symmetry and the initial Na+ sites of the dehydrated Na-LTA, we propose the local structure of the present Na43+ clusters with the C3v symmetry illustrated in Fig. 6. (For a clearer image, see the ESI animation.†) The [111] axis of the Na-LTA has a three-fold symmetry. Therefore, the Na+ ions from the three 8Rs labeled Na1 make the main and equivalent contribution to the cluster, and the contribution of the Na+ ion attributed to 6R, which is labeled Na2, to the [111] axis is minor.
The inset of Fig. 8a shows the spectra of Na/Na-LTA(m) with dilute Na adsorption before and just after prolonged UV irradiation. The adsorbed amount of Na is estimated to be ≈0.1 atom per pUC. The actual color of the sample varied from white to light blue, to bluish green, and finally to dark moss-green upon irradiation, as shown in Fig. 9. In the spectrum just after UV irradiation, photoabsorption was detected at around 2 and 3 eV, and the W band decreased. The spectral shape at around 2 eV differs from that of Na/Na-LTA(s) under light irradiation (sample (a) in Fig. 4). These features were investigated as follows.
The dependence of the absorption spectra of this sample on the duration of UV light irradiation (5.5 eV) was determined at RT as shown in Fig. 8a. To make clear the dependence of spectral variation on the irradiation duration, the absorption intensities at 1.65, 2.0, and 2.9 eV are plotted as shown in Fig. 8b. The absorptions at 1.65 and 2.0 eV appeared within 1 min and grew proportionally to the irradiation duration until 3–4 min. After 4 min, the growth became slower. The species giving these photoabsorptions were directly generated by irradiation. In contrast, absorption at 2.9 eV was negligible at the initial 1–2 min of irradiation, but once the absorption appeared, its growth was accelerated after 3 min. The growth features of the 2.9 eV photoabsorption imply that the species of its origin were not directly generated by irradiation. More specifically, the formation of intermediates upon irradiation results in the characteristic absorption growth.
Looking more closely at Fig. 8b, we can see that the ratio between the intensities of 1.65 and 2.0 eV is initially invariant, and the spectral profile at 1.3–2.4 eV within 10 min of irradiation (Fig. 8a) is identical to that of Na/Na-LTA(s) which indicates the C1 and C2 bands upon irradiation (samples (a) and (b) in Fig. 4). Thus, the absorption bands appearing at 2.0 and 1.65 eV at the early stage of irradiation can be assigned to C1 and C2, respectively. The spectrum at 4 min of irradiation was deconvoluted as shown in Fig. S12.† The ratio between these bands was 1:1.80 (Table S3†), and their origin will be discussed later. At the increased irradiation duration, the absorption at 1.65 eV peaked after ca. 10 min and then decreased slightly at 120 min. In contrast, the absorption at 2.0 eV continued to increase until the end of the experiment and became stronger than that at 1.65 eV. As a result, the spectral shape in this region was close to that of Na/Na-LTA(s) with increased Na adsorption under irradiation (sample (c) in Fig. 4). These behaviors mean that UV light irradiation first has the effect of generating metastable Na clusters in α-cages, and then has an additional effect similar to an increase in the Na adsorption amount, which leads to the partial formation of Na clusters that include multiple electrons in α-cages. The delayed growth of photoabsorption at 2.9 eV can be easily interpreted using a model in which the photogenerated Na clusters in α-cages (C1 and C2 bands) act as an intermediate for the generation of Na clusters in vacant β-cages that give D1 and D2 bands.
As described in the Introduction section, chromism is generally a reversible reaction. We next examined the reverse reaction after the termination of UV light for the colored Na/Na-LTA(m). The actual color changed from dark moss-green to green, and then yellow-green, and finally yellow, as shown in Fig. 10a. Fig. 10b shows the spectra of this reaction. The absorption at 1.4–2.3 eV decreased, maintaining its spectral shape and diminishing at ca. 1 day. In contrast, the D1 and D2 bands were quite stable. The D2 band had a lifetime of ca. 10 days, but the lifetime of the D1 band was impossible to determine. With the decrease of all these bands at 1–4 eV, a 2–3-fold increase in band W was observed. After these photoabsorption measurements, we could return the yellow sample to white within 1 h by heating at 400 K. We also confirmed that the reverse reaction was not promoted by light irradiation at a wavelength of 600 nm, which resonates with the C1, C2 and P bands. These results indicate that the reverse reaction occurs only thermally.
Fig. 10 (a) Photos and (b) absorption spectra of Na/Na-LTA(m) after terminating UV-light irradiation at RT. The time elapsed after cessation of light irradiation is shown below each image in (a). The spectrum of 0 h in (b) and that in the inset of Fig. 6 are identical. The upper and lower spectra in (b) correspond to 0–24 h and 1–10 d after termination, respectively. |
The photochromic properties of this sample at 77 K were also examined. As shown in Fig. 11, the C1 and C2 bands appeared upon UV light irradiation as well as at RT with their spectral width reduced. The reduced width indicates the presence of electron–phonon interaction on these photogenerated Na clusters in α-cages as well as those in β-cages (Fig. S8†). These bands grew intensely, exceeding a value of 40 in the vertical axis without changing the spectral shape, indicating that the P band made no contribution. Obviously, the D1 and D2 bands could not be detected. These results indicate that the Na clusters with multiple electrons in α-cages and the Na clusters in β-cages do not form at 77 K, but they form thermally at RT. The heights of the thermal potential barriers for the formation of these two types of clusters are estimated to be about 20 meV, because the thermal energies at 77 and 300 K are kBT = 6.6 and 26 meV, respectively.
Fig. 12 ESR spectra of Na/Na-LTA(m) measured at 80 K. Blue and red spectra were obtained before and under light irradiation, respectively. |
The spectrum at 80 K, however, differs from that at RT in several respects. The ten HFSs do not indicate ideal relative intensities (Scheme S1†) with regular separation as observed at RT. Despite the use of powdery crystals of Na-LTA, the ESR spectrum at RT could be analyzed successfully by adopting the model of paramagnetic species in a solution. This means that the hyperfine splitting constants and g-values are isotropic at RT. In general, the isotropic properties on these constants can be realized by the thermal rotational motion of the paramagnetic species.47 The Na43+ cluster with the C3v symmetry in the α-cage might exist in a similar environment at RT. In the α-cage, there are eight equivalent locations, where the Na43+ cluster can exist. At 80 K, the Na43+ cluster is frozen to one location, resulting in the appearance of anisotropic features in the ESR spectrum. The suppression of the growth of the D1, D2 and P bands at 77 K is consistent with this model. Although the HFS splitting constant at 80 K is anisotropic, the g-value was isotropic, because the spectral shape has inversion symmetry at the spectral center of g ≈ 2.002.
In Na/Na-LTA(s) with dilute Na adsorption, Na clusters including two electrons in a spin-singlet state (diamagnetism) are formed in β-cages rather than those with one electron. If all the Na+ ions at the eight 6Rs of one β-cage participate in cluster formation (Fig. 1), the diamagnetic Na cluster in the β-cage can be expressed as Na86+. Because the electron–phonon interaction is observed as the spectral width dependence of the D1 and D2 bands on temperature (Fig. S8†), the polaron effect would be an appropriate concept to explain the stability of the diamagnetic Na clusters in β-cages. In general, the polaron effect is the local lattice deformation (displacement) screening the charge carrier (electrons or holes).48 Lattice deformation deepens potential energy (ΔE) for the carrier. This effect has been introduced for the collective interpretation of the electronic states of the alkali–metal clusters in zeolites.21 The Na cluster in the β-cage with an electron (paramagnetic) (Scheme 1B1) and that with two electrons (diamagnetic) (Scheme 1B2) can be defined as a polaron and a bipolaron, respectively. The relative stability of the two types of polarons is determined by the two competing factors of the potential energy lowered by the polaron effect (ΔEgain = ΔEbipolaron − 2ΔEpolaron) and the increased energy (U) by the Coulomb repulsive force between the two electrons in the bipolaron.21 The actual generation of diamagnetic Na clusters (bipolaron) in β-cages indicates that ΔEgain > U is satisfied.
The photoabsorption energies of the D1 and D2 bands were explained by the model of optical transition of the electron between the quantized levels of 1s and 1p in a spherical quantum well with infinite depth.21,25 A detailed explanation of this model is provided in Section S6.† The 1s level is non-degenerate, while the 1p level has three-fold orbital degeneracy. These levels can be expressed as A1g and T1u, respectively, which are the Mulliken symbols in group theory. As the electrons are in the 1s level at the ground state, the optically allowed 1s–1p transition energy can be derived as 3.2–3.7 eV from Fig. 13a,21 assuming the diameter of the well to be equal to the inner diameter of the β-cage, 0.65–0.70 nm, as shown in Fig. 13b. Because the relative intensities of the D1 and D2 bands depend on the Na adsorption amount (Fig. 4), not only the above-mentioned Na86+ clusters but also diamagnetic Na clusters with different structures might be formed in the β-cages, although the details of their structure remain to be clarified. We will next consider the light irradiation-induced dissociation process of these diamagnetic Na clusters in β-cages. By photoabsorption, only one electron can be transferred from the diamagnetic Na cluster in the β-cage to an α-cage through the excited state. If the single residual electron in the β-cage—e.g., Na87+ (see Scheme 1C1)—has a long lifetime, it should be detected in the ESR spectrum, but the photoinduced ESR component could be resolved perfectly by the single model of the Na43+ clusters with C3v symmetry (Fig. S11†). Thus, the ESR active one-electron state (polaron state) does not exist in the β-cage. The remaining electron should transfer spontaneously from the β-cage to the α-cage by thermal excitation (or through a photoexcited state by further irradiation), as illustrated in Scheme 1C2.
Fig. 13 (a) Dependence of the 1s–1p electronic transition energy on the diameter of the spherical quantum well with infinite depth.21 The energies of C1, C2, D1, and D2 bands, and the inner sizes of the α- and β-cages are shown for reference. Approximated energy potentials for (b) the diamagnetic Na cluster in the β-cage and (c) the photogenerated Na43+ cluster with C3v symmetry in the α-cage. For (b) and (c), the diameter, d, indicates the inner size of the cages. Small black arrows indicate electrons and colored arrows indicate optical transitions between the 1s and 1p levels. |
The electron transferred to the α-cage was distributed as the metastable Na43+ cluster with C3v symmetry observed in the ESR spectra. The primary HFS coupling constant, ANa1, for the three equivalent Na+ ions is close to the constant of Na43+ in the β-cages of Na-FAU but is small compared to the constant of an Na atom, 316 G.27,49,50 Most of the electron wave function is distributed in the inner part of the main three Na+ ions (Na1) of the cluster. Regarding the HFS, a single peak was observed in the ESR spectrum of the K clusters in the α-cages of K-LTA due to the participation of many K+ ions with small HFS coupling constants.34 Consequently, a single peak, whose profile was an envelope function of many HFSs, appeared in the ESR spectrum. A similar behavior can be seen in the ESR spectra of color centers in some alkali halides, e.g. NaCl, KI, RbBr, etc.51
We will next discuss the optical transitions of the metastable Na43+ clusters in α-cages. The energies of the C1 and C2 bands are the intermediate of the 1s–1p transition energies for an electron in the spherical quantum wells with the inner diameters of α- and β-cages (Fig. 13a). Since the size of the Na43+ cluster in the α-cage is obviously smaller than the effective size of the cage, we need to revise the spherical well model to apply. The electronic excited state of this cluster, 1p, must have a broadened confinement size compared to the 1s ground state, as illustrated in Fig. 13c, in order to decrease the 1s–1p transition energy. Namely, the electron wave function at the excited state spreads over some left-behind Na+ ions in the same α-cage which did not participate in the cluster at the electronic ground state. The appearance of two absorption bands of C1 and C2 can be explained by considering the symmetry of the Na cluster. For convenience, let us start from the spherical well model. When the symmetry of the potential well is lowered to C3v, the 1s level of this cluster remains as A1g, while the 1p levels in T1u split into A2u and Eu which are non-degenerate and doubly degenerate, respectively, as shown in Fig. 13c. Thus, the transitions from A1g to A2u and from A1g to Eu have relative transition probabilities (oscillator strengths) of 1:2. This is consistent with the actual relative intensity of the two bands, C1:C2 = 1:1.80 (Table S3†).
Considering the finding that the Na43+ clusters in the α-cages are mobile at RT, they can transfer thermally to equivalent locations of both intra and inter α-cages via the Na+ ions at 8Rs, as depicted in Scheme 1C3. The mobility of the Na43+ clusters is the origin of the unique secondary dynamical process observed in the Na/Na-LTA(m) sample. In this sample, species W in the β-cages supply electrons to the α-cages upon UV light irradiation, resulting in the formation of Na43+ clusters (Scheme 1D1 and D2). The secondary process of the formation of Na clusters in β-cages corresponds to a reverse reaction of Na/Na-LTA(s) photochromism. In the photochromism of Na/Na-LTA(m), the metastable Na43+ clusters in the α-cages serve as intermediates for the thermal formation of the Na clusters in the empty β-cages. Since the Na clusters in the β-cages are diamagnetic, two paramagnetic Na43+ clusters in the α-cages contribute to the formation of one diamagnetic Na cluster in the secondary process.
Finally, we consider the formation of Na clusters with multiple electrons in α-cages. Under UV light irradiation of Na/Na-LTA(m), the number of metastable Na43+ clusters increases with time. Several mobile Na43+ clusters can encounter each other and fuse together at the same α-cage as shown in Scheme 1E. The fused Na cluster including multiple electrons gives a surface plasmon-like transition observed as band P in Fig. 8a. The present adsorbed Na amount is lower than that required for forming Na clusters with multiple electrons without light irradiation as in, for example, sample (d) or (e) of Fig. 4. Thus, the Na clusters with multiple electrons generated forcedly by light irradiation are unstable and diminish with a lifetime of about one day after termination of UV light.
Footnote |
† Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d4nr04272g |
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