Next Article in Journal
A Deep Learning-Based Preprocessing Method for Single Interferometric Fringe Patterns
Previous Article in Journal
Five-Band Tunable Terahertz Metamaterial Absorber Using Two Sets of Different-Sized Graphene-Based Copper-Coin-like Resonators
Previous Article in Special Issue
Optical Filter Design for Daylight Outdoor Electroluminescence Imaging of PV Modules
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

The Influence of Concentrations of Sensitizers and Activators on Luminescence Kinetics Parameters of Up-Conversion Nanocomplexes NaYF4:Yb3+/Tm3+

1
Department of Physics, Moscow State University, Moscow 119991, Russia
2
Prokhorov General Physics Institute of the Russian Academy of Sciences, Moscow 119991, Russia
*
Author to whom correspondence should be addressed.
Photonics 2024, 11(3), 228; https://doi.org/10.3390/photonics11030228
Submission received: 29 December 2023 / Revised: 8 February 2024 / Accepted: 26 February 2024 / Published: 29 February 2024
(This article belongs to the Special Issue Optical Spectroscopy and Applications)

Abstract

:
For colloids of NaYF4:Yb3+/Tm3+ nanoparticles in DMSO, by the method of time-resolved luminescence spectroscopy with nanosecond pulsed excitation at a wavelength of 975 nm, the photophysical processes that determine the course of kinetic curves have been revealed. It has been found that the luminescence rise time decreases with an increase in the concentration of activators and sensitizers due to the increase in the efficiency of energy transfer from sensitizers to activators. The cross-relaxation of the excited states of activators provides a decrease in the luminescence decay time with an increase in the concentration of activators and a constant concentration of the sensitizer. There is no correlation between the time of luminescence decay with the change in the concentration of sensitizers and the constant concentration of activators due to the competition of the processes of energy back transfer from activators to sensitizers and the “feeding” of activators by excitations coming from remote sensitizer ions.

1. Introduction

Luminescent nanoparticles and dispersions based on them have garnered considerable interest, since when doped with rare earth elements, they exhibit intense anti-Stokes (up-conversion) luminescence in the visible range of the spectrum when excited in the near-IR range [1,2,3,4]. Excitation in the near-infrared range, located in the transparency region, opens up wide opportunities for biovisualization and sensorics of various processes occurring in living cells. In addition, up-conversion luminophores are used for hidden protective marking [5], in photovoltaic devices [6], as fluorescent markers and drug carriers in biomedical applications [7,8,9,10,11,12,13], in thermosensors [14,15], in vacuum measurement [16], for the increase in the efficiency of solar panels [17,18], in laser cooling [19], in photoelectrochemical bioanalysis [13] and in up-conversion lasers [20].
In order to obtain effective anti-Stokes luminescence, it is necessary to dope nanoparticles with a pair of active rare earth elements, one of which has a large absorption cross-section (sensitizer), and the other has intense luminescence (activator). The sensitizer absorbs the exciting radiation and transmits the excitation to the activator. Ytterbium ions are often used as sensitizers, and thulium, erbium or holmium ions are used as activators [21,22,23]. Unlike nonlinear optical processes that occur by means of quasi-virtual energy levels, up-conversion occurs by means of real energy state. At the same time, various mechanisms take place: energy transfer followed by absorption from the excited state, the consecutive transfer of excitation energy, cross-relaxation up-conversion, cooperative sensitization and cooperative luminescence [24]. The scheme of the electronic levels of the sensitizer (ytterbium) and activator (thulium) and the mechanisms of excitation transmission are shown in Figure 1. One of the most effective matrices for doping are nanopowders with a crystal structure of the gagarinite type based on NaYF4 [25] and NaGdF4 [26]. The NaYF4 matrix is actively used for biological tissue structure visualization and photodynamic therapy [10,11,12,13].
The luminescent properties of up-conversion luminophores depend on the type of crystal matrix [27,28], the intensity of exciting radiation [26,29,30], temperature [15,31] and the environment in which the emitting nanoparticles are located [32].
Concentrations of activator and sensitizer ions also have a significant effect on the luminescence characteristics of up-conversion nanoparticles [33,34]. As the concentration of the activator increases, the distance between the ions decreases. This leads to the processes of cross-relaxation and the increase in the probability of transfer of excitation energy to the unexcited ion as a result of electromagnetic interaction between ions [35].
As a result, the luminescence intensity of up-conversion nanoparticles depends non-linearly on the concentration of activator ions [34]; along with this, there are activator concentrations at which the luminescence intensity is maximal [36,37]. An increase in the concentration of the sensitizer at a fixed concentration of the activator leads to a decrease in the distance between the ions, and, as a consequence, to an increase in the efficiency of energy transfer [34].
The indirect excitation of luminescence in up-conversion nanoparticles leads to the fact that the kinetic dependences of luminescence intensity under excitation by short (nanosecond) pulses have a form significantly different from similar dependences for most conventional luminophores. In these dependences, two phases are observed—the phase of signal rise and the phase of its decay [38]. The presence of the increase phase is due to the fact that the population of the excited levels of the activator occurs gradually due to the transfer of energy from the sensitizer. As a result, the kinetic curves reflect the dynamics of two competing processes—the gradual population of the excited level of the activator and the deactivation of its excited states. The rise and decay times of luminescence are determined by a number of processes occurring in nanoparticles and depend on a number of factors: the lifetimes of the involved energy states [39], the efficiency of energy transfer between sensitizer and activator ions [40], the concentration of sensitizer and activator ions and the distance between them [40,41], the host matrix material, spectral overlap between the radiation of the sensitizer and the absorption of the activator [42,43,44]. The use of nanosecond pulses is promising for the realization of hyperthermia in a local volume without spreading the released heat far from the area of its excitation.
Of particular interest is the determination of the effect of concentrations of activators and sensitizers on the course of kinetic curves of luminescence of nanoparticles. For yttrium oxide nanoparticles doped with erbium and ytterbium, it was demonstrated that the increase in the concentration of ytterbium leads to the decrease in the rise and decay times for the erbium luminescence band with a maximum of about 548 nm (18,240 cm−1), as well as to the decrease in the decay time for the erbium luminescence band with a maximum of about 654 nm (15,286 cm−1) [45]. It was not possible to identify a definite dependence of the luminescence rise time on the ytterbium concentration for the band with a maximum of 654 nm; however, it was found that the luminescence rise time for this band was less than for the band with a maximum in the region of 548 nm. For the luminescence decay times, the situation was reversed—the luminescence decay time of the band with a maximum near 654 nm turned out to be longer. The authors [46] found that the increase in the erbium concentration from 1 to 6% in Y2O2S crystals led to the decrease in the decay time of the luminescence band with a maximum near 550 nm. For Gd2O2S, with the increase in the erbium concentration from 0.1 to 2.0%, the rise time of erbium luminescence increased, and with the increase in the erbium concentration from 2 to 25%, it decreased, while the decay time increased in the range of the Er concentration from 0.1 to 10.0% and decreased in the range of 10–25% [47]. For NaYF4:Yb3+/Tm3+ nanoparticles at the fixed ytterbium concentration, the variation in thulium concentration in the range of 0.1–2.0% led to decrease in the rise and decay times of thulium luminescence [48].
A review of publications allows us to suggest that there is a large set of data concerning the effect of activator and sensitizer concentrations on the parameters of kinetics of luminescence of up-conversion nanoparticles, while the available data are quite contradictory. There is a big problem in conducting a comparative analysis and comparing the results of different authors obtained for luminophores of nominally the same composition. The impossibility of correct comparative analysis is caused by the fact that different authors have studied nanoluminophores of the same composition, but they were obtained by different synthesis methods with different chemical microimpurities, with significantly different morphologies and particle sizes.
In this article, the dependences of the parameters of kinetic luminescence curves of β-NaYF4:Yb3+/Tm3+ luminophore colloids in dimethyl sulfoxide (DMSO) on the dependence on the concentration of activator and sensitizer ions synthesized by the same synthesis method according to the same synthesis protocol from the same starting reagents were investigated. For this purpose, a series of samples was specially synthesized, differing in the concentration of only activators or only sensitizers, with the remaining parameters of the nanoparticles being unchanged. Kinetic curves of thulium luminescence were analyzed depending on the concentrations of activator and sensitizer ions registered under the same conditions, and the system parameters (optical pumping intensity, temperature, luminescence excitation mode) were analyzed.

2. Materials and Methods

2.1. Synthesis and Characterization of the Samples

Nanoparticles β-NaYF4:Yb3+/Tm3+ were synthesized by the solvothermal synthesis technique in a high-boiling solvent according to the procedure described earlier in [49,50]. Ytterbium, thulium and yttrium acetates (purity 99.99%, Lanhit, Moscow, Russia) were added to oleic acid (pure, Chimmed, Moscow, Russia) and 90% octadecene-1 (Sigma Aldrich). The reaction mixture was heated up to 130 °C with stirring in an argon atmosphere until the precipitate was completely dissolved and the corresponding oleates of ytterbium, thulium and yttrium were prepared; then, water and acetic acid were removed in vacuum. NaOH and NH4F (chemically pure, Lanhit, Moscow, Russia) were dissolved in methanol (chemically extra pure, Chimmed, Moscow, Russia). A mixture of NaOH and NH4F solutions was added to the reaction mixture with oleates at room temperature; then, the entire mixture was heated up to 50–60 °C and kept at this temperature for one hour, followed by methanol removal in vacuum. After removing all the methanol, the reaction mixture was heated up to 315 °C, followed by being held for 3 h and then being cooled to 25 °C. The nanoparticle precipitate was separated from the solution by centrifugation (Eppendorf 5804 centrifuge, 6500 rpm, 5 min). The resulting nanoparticles were sequentially dispersed three times in chloroform and washed with 96% ethanol. Suspensions of nanoparticles in DMSO (chemically pure, Chimmed, Moscow, Russia) were prepared with the same concentration of 1 mg/mL according to the developed protocol. Then, 10 mL of DMSO was added to 10 mg of β-NaYF4:Yb/Tm nanoparticles. The resulting suspensions were sonicated at 35 kHz for 1 h in the ultrasonic bath “GRAD 13-35”.
As a result, two series of β-NaYF4:Yb3+/Tm3+ samples were synthesized in such a way that in one of the series, the concentration of the sensitizer varied at the constant concentration of the activator, and in the other series, the concentration of the activator varied at the constant concentration of the sensitizer (Table 1).
The morphology, particle size distribution and the presence of the crystal structure were studied using a JEOL JEM-2100 transmission electron microscope (Figure 2). The presence of the crystal structure was confirmed by X-ray diffraction data on the example of samples 7 and 8 (Figure 2a and Figure 2b, respectively), shown in Figure S1a,b. X-ray diffraction analysis (XRD) was performed on a Bruker D8 Advance diffractometer using CuKα radiation. The unit cells parameters (a) and the coherent scattering region (CSR) were calculated using the TOPAS software 4.2 (Table S3). The synthesized samples in comparison to JCPDS card #16-0344 (a = 5.96 Å, c = 3.53 Å) demonstrated a single-phase solid solution with a hexagonal (gagarinite) structure without additional phases. The calculated unit cell parameters corresponded to JCPDS data with slight displacement, which confirms the formation of solid solutions. The particle size distribution was determined based on 60 particles in the ImageJ software 1.53 based on typical microphotographs of samples 7 and 8 (Figure 2c,d,e,f, respectively) and Figure S2. The average particle sizes were 21.9 ± 2.8 nm and 21.1 ± 3.1 nm for samples 7 and 8, respectively. The measured sizes converge with microphotographs at high magnification (Figure 2g,h). The average particle sizes based on TEM and CSR estimates are correlated with each other.
The sizes of aggregates in DMSO colloids according to DLS (Malvern Zetasizer Nano ZS) were 34.1 ± 7.3 nm on average. Such sizes indicate that there is no significant aggregation of nanoparticles in colloids.

2.2. Luminescent Spectroscopy of Colloids β-NaYF4:Yb3+/Tm3+ in DMSO

The Nd:YAG laser (model LQ629-100 with LP603 optical parametric oscillator (Solar, Belarus)) was used for the pulsed excitation of up-conversion luminescence of β-NaYF4:Yb3+/Tm3+. Laser power at the wavelength 975 nm was constant (200 mW with pulse duration of 10 ns and repetition rate 100 Hz). The peak pumping power density was about 300 MW/cm2. The samples were probed in the 90-degree geometry of the experiment in a standard quartz cuvette (10 mm × 10 mm × 50 mm). A blocking interference filter was used to suppress the elastic scattering signal at the wavelength 975 nm.
The system of registration of luminescence spectra consisted of a monochromator (MVR-80, grating 600 grooves/mm, focal length 500 mm), a PMT (Hamamatsu R928) and a digital oscilloscope (Rigol DS1202Z-E) (bandwidth 200 MHz). For the registration of the luminescence spectra, a second detector was used—PMT Hamamatsu H-8259-1—operating in photon-counting mode.

3. Results and Discussion

3.1. Investigation of the Kinetics of β-NaYF4:Yb3+/Tm3+ Luminescence

A typical luminescence spectrum of β-NaYF4:Yb3+/Tm3+ colloids in DMSO is shown in Figure 3.
The spectrum comprises a whole set of bands with maximums at wavelengths 804, 695, 650, 476, 488, 452, 345, 362 and 345 nm corresponding to luminescent transitions of thulium: 3H43H6, 3F33H6, 1G4(b)3F4, 1G4(a)3H6, 1G4(b)3H6, 1D23F4, 1I63H5. Bands near 800, 450 and 475 nm are most intensive, and they can be used for biomedical applications and biovisualization [7,8,9,14]. The band in the region of 800 nm is interesting because it is the most intense and is located in the “transparency window” of biological tissues. Luminescence bands with maximums in the region of 450 and 475 nm are thermally coupled [47] and can be used as temperature sensors [15,51].
Kinetic luminescence curves of the above-mentioned bands were obtained for all prepared 8 β-NaYF4:Yb3+/Tm3+ colloids in DMSO. Kinetic curves for samples No. 2, 4 and 6 are shown in Figure 4. Since the luminescence bands differ greatly in intensity, for the convenience of comprehension here and further, all curves are normalized to maximal intensity.
As it can be seen from the presented data, the profiles of kinetic curves differ for different bands of the luminescence spectrum. The kinetic curve for the band with a maximum in the region of 450 nm increases and decreases faster than the rest, the curve for the band in the region of 800 nm is slower than all and the curve for the band with a maximum in the region of 475 nm occupies an intermediate position.
Similar behavior of kinetic curves for the studied luminescence bands was obtained earlier by the authors [52] for β-NaYF4:20%Yb3+/0.6%Tm3+ nanoparticles with the specified ratio of sensitizer and activator concentrations. In this study, it was found that kinetic luminescence curves behave similarly for nanoparticles with different ratios of ytterbium and thulium concentrations. For the excitation of different luminescence bands, a different number of photons is required: two for the band in the region of 800 nm, three for the band in the region of 475 and four for a band in the region of 450 nm (Figure 1). This indicates that the dominant mechanism of the formation of NaYF4:20%Yb3+/0.6%Tm3+ up-conversion luminescence is nonradiative energy transfer from ytterbium ions to thulium ions. The concentration of thulium ions in the complex is always lower than the concentration of ytterbium ions. Since the ions in the crystal lattice are evenly distributed, it can be assumed that one thulium ion is surrounded by several ytterbium ions. When excited by a short laser pulse, it can be assumed that after its termination, the number of ytterbium ions in the excited state is maximal and can only decrease in the future. That is, after the pump pulse is completed, the thulium ion is surrounded by ytterbium ions in the excited state. After the start of excitation transfer to the thulium ion, the number of excited ytterbium ions will decrease. As a result, the probability of excitation of the luminescence band, which requires a large number of pumping photons, will decrease. The band around 450 nm requires four pumping photons, so its intensity increases and decreases the fastest. The luminescence band in the region of 800 nm requires the smallest number of pumping photons (two), so its intensity decays the slowest.
As it was established in this work, change in the concentration of ytterbium ions in the range of 10–22% or thulium in the range of 1–6% does not qualitatively change the picture. The intensity of the luminescence band requiring the largest number of pumping photons increases and decreases the fastest, and the intensity of the band requiring the smallest number of pumping photons increases and decreases the slowest.
For the description of the kinetic curves, the two-exponential approximation model has traditionally been used [53] in the literature. Within the framework of this model, one component describes the increase in the luminescence signal and contains information about the non-radiative transfer of energy from sensitizers to activators, and the other component describes the decrease in the signal and contains information about the actual decay time of the luminescence of acceptors. In our study, after analyzing all the kinetic curves, it became clear that this model poorly describes the initial section of the growth phase [52,54,55]. In addition, the authors [52] suggested that the transfer of energy from sensitizers to activators affects the decay time of the luminescence of activators. Moreover, when short (nanosecond) high-power laser pulses are used to excite the luminescence signal, as in our case, the intensity of excitation radiation is quite high (hundreds of MW/cm2). In this case, in addition to energy transfer from sensitizers to activators, other mechanisms of formation of up-conversion luminescence are possible—absorption from the excited state and cooperative sensitization [1].
Since, in this paper, we were primarily interested in the differences in the course of curves due to different ion concentrations, and not in the description of these curves using a model, in this paper, we decided not to approximate the obtained curves using a specific model. In this paper, instead of describing kinetic curves as parameters characterizing the rise and decay of luminescence, the rise time (trise) and the decay time (tdecay) were chosen. The rise time is the time from the moment the luminescence signal begins to rise to the moment when the luminescence signal is maximal; the decay time is the difference between the moment when the intensity drops by half and the rise time of the signal. (Figure 4D).

3.2. Rise Time of β-NaYF4:Yb3+/Tm3+ Luminescence

The calculated values of the signal rise time for luminescence bands with maximums in the regions of 450, 475 and 800 nm for all samples are shown in Figure 5 and in Table S1.
As it can be seen from the obtained results, an increase in the concentration of ytterbium (samples 1–4) leads to a decrease in the rise time of the luminescence signal for all studied bands. This is explained in terms of the effect of the concentrations of doping ions (sensitizer and activator) on the average distance between neighboring ions and, accordingly, on the luminescent properties. The efficiency of energy transfer from sensitizer ions to activator ions is determined by the distance between the sensitizer and activator ions (ion concentration) according to the following formula [38,52]:
The following is example 1 of an equation:
P = 1 t s R 0 R s ,
where ts is the effective lifetime of the excited state of the sensitizer ion, taking into account all channels of deactivation of the excited state, except for the energy transfer to the activator ion; R is the distance between the ions between which energy transfer occurs; R0 is the distance between the ions at which the rate of energy transfer between the ions is equal to the rate of the spontaneous decay of the excited level of the sensitizer ion; s is an index describing the multipole interaction (s = 6 for dipole–dipole interaction, s = 8 for dipole–quadrupole, s = 10 for quadrupole–quadrupole). An increase in the concentration of sensitizer ions leads to a decrease in the distance R and increases the efficiency of energy transfer to activator ions.
According to Formula (1), at the fixed concentration of thulium, an increase in the concentration of ytterbium leads to the fact that the average distance between ytterbium and thulium ions decreases and the efficiency of energy transfer from sensitizers to activators increases. As a result, the time which is necessary to reach the maximum signal—the rise time—decreases (Figure 5, Table S1).
With the increase in the concentration of thulium (samples 5–8), the rise time of the signal also decreases (Figure 6), which can be explained similarly. At the fixed concentration of ytterbium, an increase in the concentration of thulium also leads to a decrease in the average distance between activators and sensitizers and an increase in the efficiency of energy transfer.
In order to confirm the proposed explanations, estimates of the average distance between ions for all samples were made in the approximation of a uniform distribution of ions over the volume of the nanoparticle. The evaluation methodology is described in more detail in the Sup.Inf. It was shown in [44] that with the increase in the concentration of ytterbium from 0 to 25%, the width of the distribution of distances between ions narrows. According to the theoretical estimates of the authors [44], for NaYF4:Yb3+/Tm3+ nanoparticles with a concentration of ytterbium of 25% and thulium of 0.3%, the most probable distance between ytterbium and thulium ions was about 3 nm. In our work, the concentrations of ytterbium and thulium ions are quite high: 10–22% and 1–6%, respectively. As a result, it can be assumed that the distribution of distances between ions is quite narrow, and it can be replaced by the average distance. The calculated average distances are presented in Table S4. The dependences of the luminescence rise times for different bands of the spectrum on the calculated average distance between ions when the concentrations of ytterbium and thulium ions change are shown in Figure 6.
As it can be seen in Figure 6, the increase in the distance between ions leads to the increase in the rise time of luminescence intensity due to the decrease in the efficiency of energy transfer from sensitizers to activators.

3.3. Decay Time of β-NaYF4:Yb3+/Tm3+ Luminescence

Figure 7 and Table S2 for all samples show the values of the decay time of the luminescence bands with maximums in the regions of 450, 475 and 800 nm. The increase in the concentration of thulium (samples 5–8) leads to a decrease in the decay time of luminescence. This can be explained by the fact that with the increase in the concentration of thulium, the probability of cross-relaxation increases [45]. As a result, this channel of excitation deactivation becomes more efficient, which leads to the decrease in the time of luminescence decay.
It should be noted that in the series of samples in which the concentrations of ytterbium varied at a fixed concentration of thulium (samples 1–4), there is no unambiguous tendency to increase or decrease the times of luminescence decay (Figure 7). This can be explained by the combined effect of two factors. On the one hand, the increase in the concentration of ytterbium leads to the decrease in the average distance between ytterbium and thulium ions and the increase in the efficiency of nonradiative energy transfer. On the other hand, the increase in the concentration of ytterbium ions increases the probability of reverse energy transfer from thulium ions to ytterbium ions [56].
Increasing the probability of reverse energy transfer reduces the time of luminescence decay. In addition, with the increase in the concentration of ytterbium, a situation is possible in which excitation from distant ytterbium ions begins to transfer to thulium ions due to energy migration, which ensures a constant “recharge” of thulium ions with energy. This, in turn, increases the luminescence decay time. As a result, the profile of the kinetic curve is a result of competition between the above-mentioned processes. Therefore, for the series of samples in which the concentrations of ytterbium varied, it is impossible to distinguish any unambiguous dependence of the luminescence decay times for all studied bands on the concentration of ytterbium.

4. Conclusions

This paper presents the results of the study of the effect of sensitizer and activator concentrations on the characteristics of luminescence kinetic curves of NaYF4:Yb3+/Tm3+ nanoparticles in DMSO obtained under nanosecond pulsed excitation.
The obtained data for two series of samples in which the concentrations of either activator or sensitizer varied showed that the characteristics of the kinetic curves of the luminescence bands of nanoparticles with maximums in the regions of 450, 475 and 800 nm differ over the entire range of the studied concentrations. The lowest rise and decay times of luminescence were obtained for the band with the maximum in the region of 450 nm, and the highest were obtained for the band with the maximum in the region of 800 nm. Thus, the more pumping photons that are required to excite a given luminescence band, the shorter the rise and decay times of luminescence are.
It was found that the rise time of the luminescence signal decreases with the increase in the concentration of both activators and sensitizers. This is due to a decrease in the average distance between ions and an increase in the efficiency of energy transfer from sensitizers to activators. The decay time of the luminescence signal decreases with the increase in the concentration of activators and a constant concentration of sensitizer. The reason for this is the cross-relaxation of the excited states of the activators. A certain dependence of the luminescence attenuation time with the change in the concentration of sensitizers and the constant concentration of activators could not be established due to the competition of the processes of energy back transfer from activators to sensitizers and the “feeding” of activators with excitations coming from remote sensitizer ions.
The results obtained in this work represent considerable interest for the creation and correction of theoretical models of photophysical processes occurring in NaYF4:Yb3+/Tm3+ complexes, as well as for the control of their luminescent properties.

Supplementary Materials

The following supporting information can be downloaded at: https://www.mdpi.com/article/10.3390/photonics11030228/s1, Table S1: Rise times of the luminescence signal of nanoparticles β-NaYF4:Yb3+/Tm3+ for all samples; Table S2: Decay times of the luminescence signal of nanoparticles β-NaYF4:Yb3+/Tm3+ for all samples; Table S3: Unit cells parameters of nanoparticles β-NaYF4:Yb3+/Tm3+ for all samples; Table S4: The calculated distances between rare earth ions. Figure S1: (a) XRD for synthesized samples NaYF4:Yb(x):Tm (4 mol.%) at x = 10, 14, 18 and 22 mol.% in comparison to JCPDS card #16-0344; (b) XRD for synthesized samples NaYF4:Yb (18 mol.%):Tm (x mol.%) at x = 1, 2, 4 and 6 mol.% in comparison to JCPDS card #16-0344; Figure S2: The transmission electron microscopy of samples. A photo of general view and with increased scale.

Author Contributions

Conceptualization: T.D., S.K. and S.B.; synthesis: V.P. and S.K.; sample characterization: V.V., N.T. and V.P.; spectroscopy: S.B. and E.F.; data processing: S.B. and E.F.; writing—original draft preparation: S.B. and T.D.; review and editing T.D. and S.K. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

The data that support the findings of this study are available on request from the corresponding author.

Conflicts of Interest

The authors declare no conflicts of interest.

References

  1. Auzel, F. Upconversion and Anti-Stokes Processes with f and d Ions in Solids. Chem. Rev. 2003, 104, 139–174. [Google Scholar] [CrossRef]
  2. Bloembergen, N. Solid State Infrared Quantum Counters. Phys. Rev. Lett. 1959, 2, 84–85. [Google Scholar] [CrossRef]
  3. Ovsyankin, V.V.; Feofilov, P.P. Mechanism of Summation of Electronic Excitations in Activated Crystals. JETP Lett. 1966, 3, 322. [Google Scholar]
  4. Salley, G.M.; Valiente, R.; Guedel, H.U. Luminescence Upconversion Mechanisms in Yb3+–Tb3+ Systems. J. Lumin. 2001, 94–95, 305–309. [Google Scholar] [CrossRef]
  5. You, M.; Zhong, J.; Hong, Y.; Duan, Z.; Lin, M.; Xu, F. Inkjet Printing of Upconversion Nanoparticles for Anti-Counterfeit Applications. Nanoscale 2015, 7, 4423–4431. [Google Scholar] [CrossRef] [PubMed]
  6. Han, S.; Deng, R.; Xie, X.; Liu, X. Enhancing Luminescence in Lanthanide-Doped Upconversion Nanoparticles. Angew. Chem. Int. Ed. 2014, 53, 11702–11715. [Google Scholar] [CrossRef] [PubMed]
  7. Escudero, A.; Becerro, A.I.; Carrillo-Carrión, C.; Núñez, N.O.; Zyuzin, M.V.; Laguna, M.; González-Mancebo, D.; Ocaña, M.; Parak, W.J. Rare Earth Based Nanostructured Materials: Synthesis, Functionalization, Properties and Bioimaging and Biosensing Applications. Nanophotonics 2017, 6, 881–921. [Google Scholar] [CrossRef]
  8. Liang, G.; Wang, H.; Shi, H.; Wang, H.; Zhu, M.; Jing, A.; Li, J.; Li, G. Recent Progress in the Development of Upconversion Nanomaterials in Bioimaging and Disease Treatment. J. Nanobiotechnol. 2020, 18, 154. [Google Scholar] [CrossRef]
  9. Reddy, K.L.; Rai, M.; Prabhakar, N.; Arppe, R.; Rai, S.B.; Singh, S.K.; Rosenholm, J.M.; Krishnan, V. Controlled Synthesis, Bioimaging and Toxicity Assessments in Strong Red Emitting Mn2+ Doped NaYF4:Yb3+/Ho3+ Nanophosphors. RSC Adv. 2016, 6, 53698–53704. [Google Scholar] [CrossRef]
  10. Doronkina, A.A.; Kochubey, V.I.; Maksutova, A.V.; Pravdin, A.B.; Mylnikov, A.M.; Navolokin, N.A.; Yanina, I.Y. NaYF4: Yb, Er Upconversion Nanoparticles for Imaging: Effect on Red Blood Cells. Photonics 2023, 10, 1386. [Google Scholar] [CrossRef]
  11. Iglesias-Mejuto, A.; Lamy-Mendes, A.; Pina, J.; Costa, B.F.O.; García-González, C.A.; Durães, L. Synthesis of Highly Luminescent Silica-Coated Upconversion Nanoparticles from Lanthanide Oxides or Nitrates Using Co-Precipitation and Sol–Gel Methods. Gels 2024, 10, 13. [Google Scholar] [CrossRef]
  12. Shapoval, O.; Vetvicka, D.; Patsula, V.; Engstová, H.; Kocková, O.; Konefał, M.; Kabešová, M.; Horák, D. Temoporfin-Conjugated Upconversion Nanoparticles for NIR-Induced Photodynamic Therapy: Studies with Pancreatic Adenocarcinoma Cells In Vitro and In Vivo. Pharmaceutics 2023, 15, 2694. [Google Scholar] [CrossRef] [PubMed]
  13. Liu, H.; Wei, W.; Song, J.; Hu, J.; Wang, Z.; Lin, P. Upconversion-Powered Photoelectrochemical Bioanalysis for DNA Sensing. Sensors 2024, 24, 773. [Google Scholar] [CrossRef]
  14. Jaque, D.; Vetrone, F. Luminescence Nanothermometry. Nanoscale 2012, 4, 4301. [Google Scholar] [CrossRef] [PubMed]
  15. Sarmanova, O.E.; Burikov, S.A.; Laptinskiy, K.A.; Kotova, O.D.; Filippova, E.A.; Dolenko, T.A. In Vitro Temperature Sensing with Up-Conversion NaYF4:Yb3+/Tm3+-Based Nanocomposites: Peculiarities and Pitfalls. Spectrochim. Acta A 2020, 241, 118627. [Google Scholar] [CrossRef]
  16. Runowski, M.; Woźny, P.; Lis, S.; Lavín, V.; Martín, I.R. Optical Vacuum Sensor Based on Lanthanide Upconversion—Luminescence Thermometry as a Tool for Ultralow Pressure Sensing. Adv. Mater. Technol. 2020, 5, 1901091. [Google Scholar] [CrossRef]
  17. Singh, R.; Madirov, E.; Busko, D.; Hossain, I.M.; Konyushkin, V.A.; Nakladov, A.N.; Kuznetsov, S.V.; Farooq, A.; Gharibzadeh, S.; Paetzold, U.W.; et al. Harvesting Sub-Bandgap Photons via Upconversion for Perovskite Solar Cells. ACS Appl. Mater. Interfaces 2021, 13, 54874–54883. [Google Scholar] [CrossRef]
  18. Karimov, D.N.; Demina, P.A.; Koshelev, A.V.; Rocheva, V.V.; Sokovikov, A.V.; Generalova, A.N.; Zubov, V.P.; Khaydukov, E.V.; Koval’chuk, M.V.; Panchenko, V.Y. Upconversion Nanoparticles: Synthesis, Photoluminescence Properties, and Applications. Nanotechnol. Russ. 2020, 15, 655–678. [Google Scholar] [CrossRef]
  19. Dobretsova, E.A.; Xia, X.; Pant, A.; Lim, M.B.; De Siena, M.C.; Boldyrev, K.N.; Molchanova, A.D.; Novikova, N.N.; Klimin, S.A.; Popova, M.N.; et al. Hydrothermal Synthesis of Yb3+: LuLiF4 Microcrystals and Laser Refrigeration of Yb3+: LuLiF4/Silicon-Nitride Composite Nanostructures. Laser Photonics Rev. 2021, 15, 2100019. [Google Scholar] [CrossRef]
  20. Scheps, R. Upconversion Laser Processes. Prog. Quantum. Electron. 1996, 20, 271–358. [Google Scholar] [CrossRef]
  21. Chen, G.; Ohulchanskyy, T.Y.; Kumar, R.; Ågren, H.; Prasad, P.N. Ultrasmall Monodisperse NaYF4:Yb3+/Tm3+ Nanocrystals with Enhanced Near-Infrared to Near-Infrared Upconversion Photoluminescence. ACS Nano 2010, 4, 3163–3168. [Google Scholar] [CrossRef]
  22. Sun, Y.; Chen, Y.; Tian, L.; Yu, Y.; Kong, X.; Zhao, J.; Zhang, H. Controlled Synthesis and Morphology Dependent Upconversion Luminescence of NaYF4:Yb, Er Nanocrystals. Nanotechnology 2007, 18, 275609. [Google Scholar] [CrossRef]
  23. Krämer, K.W.; Biner, D.; Frei, G.; Güdel, H.U.; Hehlen, M.P.; Lüthi, S.R. Hexagonal Sodium Yttrium Fluoride Based Green and Blue Emitting Upconversion Phosphors. Chem. Mater. 2004, 16, 1244–1251. [Google Scholar] [CrossRef]
  24. Zhou, J.; Liu, Q.; Feng, W.; Sun, Y.; Li, F. Upconversion Luminescent Materials: Advances and Applications. Chem. Rev. 2014, 115, 395–465. [Google Scholar] [CrossRef] [PubMed]
  25. Hu, Y.; Sun, Y.; Li, Y.; Sun, S.; Huo, J.; Zhao, X. A Facile Synthesis of NaYF4:Yb3+/Er3+ Nanoparticles with Tunable Multicolor Upconversion Luminescence Properties for Cell Imaging. RSC Adv. 2014, 4, 43653–43660. [Google Scholar] [CrossRef]
  26. Kormshchikov, I.D.; Voronov, V.V.; Burikov, S.A.; Dolenko, T.A.; Kuznetsov, S.V. Study of Stability of Luminescence Intensity of B-NaGdF4:Yb:Er Nanoparticle Colloids in Aqueous Solution. Nanosyst. Phys. Chem. Math. 2021, 12, 218–223. [Google Scholar] [CrossRef]
  27. Bazhukova, I.N.; Pustovarov, V.A.; Myshkina, A.V.; Ulitko, M.V. Luminescent Nanomaterials Doped with Rare Earth Ions and Prospects for Their Biomedical Applications (A Review). Opt. Spectrosc. 2020, 128, 2050–2068. [Google Scholar] [CrossRef]
  28. Kuznetsov, S.; Ermakova, Y.; Voronov, V.; Fedorov, P.; Busko, D.; Howard, I.A.; Richards, B.S.; Turshatov, A. Up-Conversion Quantum Yields of SrF2:Yb3+,Er3+ Sub-Micron Particles Prepared by Precipitation from Aqueous Solution. J. Mater. Chem. C 2018, 6, 598–604. [Google Scholar] [CrossRef]
  29. Pollnau, M.; Gamelin, D.R.; Lüthi, S.R.; Güdel, H.U.; Hehlen, M.P. Power Dependence of Upconversion Luminescence in Lanthanide and Transition-Metal-Ion Systems. Phys. Rev. B 2000, 61, 3337–3346. [Google Scholar] [CrossRef]
  30. Burikov, S.A.; Filippova, E.A.; Fedyanina, A.A.; Kuznetsov, S.V.; Proydakova, V.Y.; Voronov, V.V.; Dolenko, T.A. Influence of the Intensity of Exciting Radiation on the Luminescent Properties of Nanopowders NaYF4: Yb/Tm. Opt. Spectrosc. 2022, 130, 655. [Google Scholar] [CrossRef]
  31. Zhang, B.; Guo, X.; Zhang, Z.; Fu, Z.; Zheng, H. Luminescence Thermometry with Rare Earth Doped Nanoparticles: Status and Challenges. J. Lumin. 2022, 250, 119110. [Google Scholar] [CrossRef]
  32. Cong, T.; Ding, Y.; Xin, S.; Hong, X.; Zhang, H.; Liu, Y. Solvent-Induced Luminescence Variation of Upconversion Nanoparticles. Langmuir 2016, 32, 13200–13206. [Google Scholar] [CrossRef]
  33. Rozhnova, Y.A.; Kuznetsov, S.V.; Luginina, A.A.; Voronov, V.V.; Ryabova, A.V.; Pominova, D.V.; Ermakov, R.P.; Usachev, V.A.; Kononenko, N.E.; Baranchikov, A.E.; et al. New Sr1−x−zRx(NH4)zF2+x−z (R = Yb, Er) Solid Solution as Precursor for High Efficiency up-Conversion Luminophor and Optical Ceramics on the Base of Strontium Fluoride. Mater. Chem. Phys. 2016, 172, 150–157. [Google Scholar] [CrossRef]
  34. Kuznetsov, S.V.; Burikov, S.A.; Fedyanina, A.A.; Filippova, E.A.; Proydakova, V.Y.; Voronov, V.V.; Tabachkova, N.Y.; Fedorov, P.P.; Dolenko, T.A. Impact of Sensitizer Yb and Activator Tm on Luminescence Intensity of Beta-NaYF4:Yb/Tm Nanoluminophores. Nanosyst. Phys. Chem. Math. 2022, 13, 331–341. [Google Scholar] [CrossRef]
  35. Pisarenko, V.F. Rare-earth scandoborates as new laser materials. Soros. Obrazovat. Zh. (in Rus.) 1996, 11, 111–116. [Google Scholar]
  36. Pilch, A.; Wawrzyńczyk, D.; Kurnatowska, M.; Czaban, B.; Samoć, M.; Strek, W.; Bednarkiewicz, A. The Concentration Dependent Up-Conversion Luminescence of Ho3+ and Yb3+ Co-Doped β-NaYF4. J. Lumin. 2017, 182, 114–122. [Google Scholar] [CrossRef]
  37. Wei, W.; Zhang, Y.; Chen, R.; Goggi, J.; Ren, N.; Huang, L.; Bhakoo, K.K.; Sun, H.; Tan, T.T.Y. Cross Relaxation Induced Pure Red Upconversion in Activator- and Sensitizer-Rich Lanthanide Nanoparticles. Chem. Mater. 2014, 26, 5183–5186. [Google Scholar] [CrossRef]
  38. Kong, J.; Shang, X.; Zheng, W.; Chen, X.; Tu, D.; Wang, M.; Song, J.; Qu, J. Revisiting the Luminescence Decay Kinetics of Energy Transfer Upconversion. J. Phys. Chem. Lett. 2020, 11, 3672–3680. [Google Scholar] [CrossRef] [PubMed]
  39. Gamelin, D.R.; Gudel, H.U. Upconversion Processes in Transition Metal and Rare Earth Metal Systems. In Transition Metal and Rare Earth Compounds, Hartmut Yersin; Springer: Berlin/Heidelberg, Germany, 2000; pp. 1–56. [Google Scholar] [CrossRef]
  40. Liu, H.; Jayakumar, M.K.G.; Huang, K.; Wang, Z.; Zheng, X.; Ågren, H.; Zhang, Y. Phase Angle Encoded Upconversion Luminescent Nanocrystals for Multiplexing Applications. Nanoscale 2017, 9, 1676–1686. [Google Scholar] [CrossRef] [PubMed]
  41. Naccache, R.; Vetrone, F.; Speghini, A.; Bettinelli, M.; Capobianco, J.A. Cross-Relaxation and Upconversion Processes in Pr3+ Singly Doped and Pr3+/Yb3+ Codoped Nanocrystalline Gd3Ga5O12: The Sensitizer/Activator Relationship. J. Phys. Chem. C 2008, 112, 7750–7756. [Google Scholar] [CrossRef]
  42. Dexter, D.L. A Theory of Sensitized Luminescence in Solids. J. Chem. Phys. 1953, 21, 836–850. [Google Scholar] [CrossRef]
  43. Nadort, A.; Zhao, J.; Goldys, E.M. Lanthanide Upconversion Luminescence at the Nanoscale: Fundamentals and Optical Properties. Nanoscale 2016, 8, 13099–13130. [Google Scholar] [CrossRef]
  44. Villanueva-Delgado, P.; Krämer, K.W.; Valiente, R. Simulating Energy Transfer and Upconversion in β-NaYF4: Yb3+, Tm3+. J. Phys. Chem. C 2015, 119, 23648–23657. [Google Scholar] [CrossRef]
  45. Hong-Wei, S.; Hai-Ping, X.; Bao-Juan, S.; Shao-Zhe, L.; Zhong-Xin, L.; Li-Xin, Y. Upconversion Luminescence Dynamics in Er3+/Yb3+ Codoped Nanocrystalline Yttria. Chin. Phys. Lett. 2006, 23, 474–477. [Google Scholar] [CrossRef]
  46. Chen, X.Y.; Zhuang, H.Z.; Liu, G.K.; Li, S.; Niedbala, R.S. Confinement on Energy Transfer between Luminescent Centers in Nanocrystals. J. Appl. Phys. 2003, 94, 5559–5565. [Google Scholar] [CrossRef]
  47. Martín-Rodríguez, R.; Rabouw, F.T.; Trevisani, M.; Bettinelli, M.; Meijerink, A. Upconversion Dynamics in Er3+-Doped Gd2O2S: Influence of Excitation Power, Er3+ Concentration, and Defects. Adv. Opt. Mater. 2015, 3, 558–567. [Google Scholar] [CrossRef]
  48. Misiak, M.; Prorok, K.; Cichy, B.; Bednarkiewicz, A.; Stręk, W. Thulium Concentration Quenching in the Up-Converting α-Tm3+/Yb3+ NaYF4 Colloidal Nanocrystals. Opt. Mater. 2013, 35, 1124–1128. [Google Scholar] [CrossRef]
  49. Pominova, D.; Proydakova, V.; Romanishkin, I.; Ryabova, A.; Kuznetsov, S.; Uvarov, O.; Fedorov, P.; Loschenov, V. Temperature Sensing in the Short-Wave Infrared Spectral Region Using Core-Shell NaGdF4:Yb3+, Ho3+, Er3+@NaYF4 Nanothermometers. Nanomaterials 2020, 10, 1992. [Google Scholar] [CrossRef] [PubMed]
  50. Liu, J.; Chen, G.; Hao, S.; Yang, C. Sub-6 Nm Monodisperse Hexagonal Core/Shell NaGdF4 Nanocrystals with Enhanced Upconversion Photoluminescence. Nanoscale 2017, 9, 91–98. [Google Scholar] [CrossRef]
  51. Wade, S.A.; Collins, S.F.; Baxter, G.W. Fluorescence Intensity Ratio Technique for Optical Fiber Point Temperature Sensing. J. Appl. Phys. 2003, 94, 4743–4756. [Google Scholar] [CrossRef]
  52. Alyatkin, S.; Asharchuk, I.; Khaydukov, K.; Nechaev, A.; Lebedev, O.; Vainer, Y.; Semchishen, V.; Khaydukov, E. The Influence of Energy Migration on Luminescence Kinetics Parameters in Upconversion Nanoparticles. Nanotechnology 2016, 28, 035401. [Google Scholar] [CrossRef] [PubMed]
  53. Buisson, R.; Vial, J.C. Transfer inside Pairs of Pr3+ in LaF3 Studied by Up-Conversion Fluorescence. J. Phys. Lett. 1981, 42, 115–118. [Google Scholar] [CrossRef]
  54. Mikheev, A.V.; Kazakov, B.N. Rise Kinetics of Up-Conversion Luminescence under Pulsed Excitation. Probabilistic Model and Experiment. J. Lumin. 2019, 205, 167–178. [Google Scholar] [CrossRef]
  55. Mikheev, A.V.; Kazakov, B.N. Rise Kinetics of Up-Conversion Luminescence of the LiY0.8Yb0.2F4:Tm3+ (0.2 at %) Crystal with Pulsed Excitation. Phys. Solid. State 2019, 61, 860–866. [Google Scholar] [CrossRef]
  56. Lei, L.; Chen, D.; Zhu, W.; Xu, J.; Wang, Y. Impact of high ytterbium(III) concentration in the shell on upconversion luminescence of core-shell nanocrystals. Chem. Asian J. 2014, 9, 2765–2770. [Google Scholar] [CrossRef]
Figure 1. Diagram of the energy levels of the sensitizer (ytterbium) and activator (thulium).
Figure 1. Diagram of the energy levels of the sensitizer (ytterbium) and activator (thulium).
Photonics 11 00228 g001
Figure 2. TEM image of nanoluminophores β-NaYF4: Yb3+/Tm3+: (a)—electron diffraction image for sample 7, (b)—electron diffraction image for sample 8, (c)—TEM image for sample 7, (d)—TEM image for sample 8, (e)—particle size distribution for sample 7, (f)—particle size distribution for sample 8, (g)—TEM image for sample 7 with high resolution, (h)—TEM image for sample 8 with high resolution.
Figure 2. TEM image of nanoluminophores β-NaYF4: Yb3+/Tm3+: (a)—electron diffraction image for sample 7, (b)—electron diffraction image for sample 8, (c)—TEM image for sample 7, (d)—TEM image for sample 8, (e)—particle size distribution for sample 7, (f)—particle size distribution for sample 8, (g)—TEM image for sample 7 with high resolution, (h)—TEM image for sample 8 with high resolution.
Photonics 11 00228 g002aPhotonics 11 00228 g002b
Figure 3. Luminescence spectrum of colloid β-NaYF4:Yb3+/Tm3+ (18%Yb, 2%Tm) nanoparticles in DMSO.
Figure 3. Luminescence spectrum of colloid β-NaYF4:Yb3+/Tm3+ (18%Yb, 2%Tm) nanoparticles in DMSO.
Photonics 11 00228 g003
Figure 4. Kinetic curves for luminescence bands with maximum in the region of 800, 475 and 450 nm: (A)—sample 2 (Yb 14%, Tm 4%); (B)—sample 4 (Yb 22%, Tm 4%); (C)—sample 6 (Yb 18%, Tm 2%); (D)—algorithm for calculating the rise and decay time of luminescence of nanoparticles β-NaYF4:Yb3+/Tm3+.
Figure 4. Kinetic curves for luminescence bands with maximum in the region of 800, 475 and 450 nm: (A)—sample 2 (Yb 14%, Tm 4%); (B)—sample 4 (Yb 22%, Tm 4%); (C)—sample 6 (Yb 18%, Tm 2%); (D)—algorithm for calculating the rise and decay time of luminescence of nanoparticles β-NaYF4:Yb3+/Tm3+.
Photonics 11 00228 g004aPhotonics 11 00228 g004b
Figure 5. Rise times of luminescence signal of β-NaYF4:Yb3+/Tm3+ nanoparticles.
Figure 5. Rise times of luminescence signal of β-NaYF4:Yb3+/Tm3+ nanoparticles.
Photonics 11 00228 g005
Figure 6. Dependences of the luminescence rise time on the average distance between ions for different bands of the spectrum under the change in concentration of ytterbium (left) and thulium (right).
Figure 6. Dependences of the luminescence rise time on the average distance between ions for different bands of the spectrum under the change in concentration of ytterbium (left) and thulium (right).
Photonics 11 00228 g006
Figure 7. Luminescence decay times of the β-NaYF4:Yb3+/Tm3+ nanoparticles.
Figure 7. Luminescence decay times of the β-NaYF4:Yb3+/Tm3+ nanoparticles.
Photonics 11 00228 g007
Table 1. Concentrations of sensitizer and activator ions in nanopowders β-NaYF4:Yb3+/Tm3+.
Table 1. Concentrations of sensitizer and activator ions in nanopowders β-NaYF4:Yb3+/Tm3+.
Number of the sample 12345678
Concentration Yb, mol.%1014182218181818
Concentration Tm, mol.%44441246
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.

Share and Cite

MDPI and ACS Style

Burikov, S.; Filippova, E.; Proydakova, V.; Kuznetsov, S.; Voronov, V.; Tabachkova, N.; Dolenko, T. The Influence of Concentrations of Sensitizers and Activators on Luminescence Kinetics Parameters of Up-Conversion Nanocomplexes NaYF4:Yb3+/Tm3+. Photonics 2024, 11, 228. https://doi.org/10.3390/photonics11030228

AMA Style

Burikov S, Filippova E, Proydakova V, Kuznetsov S, Voronov V, Tabachkova N, Dolenko T. The Influence of Concentrations of Sensitizers and Activators on Luminescence Kinetics Parameters of Up-Conversion Nanocomplexes NaYF4:Yb3+/Tm3+. Photonics. 2024; 11(3):228. https://doi.org/10.3390/photonics11030228

Chicago/Turabian Style

Burikov, Sergey, Ekaterina Filippova, Vera Proydakova, Sergey Kuznetsov, Valery Voronov, Natalia Tabachkova, and Tatiana Dolenko. 2024. "The Influence of Concentrations of Sensitizers and Activators on Luminescence Kinetics Parameters of Up-Conversion Nanocomplexes NaYF4:Yb3+/Tm3+" Photonics 11, no. 3: 228. https://doi.org/10.3390/photonics11030228

APA Style

Burikov, S., Filippova, E., Proydakova, V., Kuznetsov, S., Voronov, V., Tabachkova, N., & Dolenko, T. (2024). The Influence of Concentrations of Sensitizers and Activators on Luminescence Kinetics Parameters of Up-Conversion Nanocomplexes NaYF4:Yb3+/Tm3+. Photonics, 11(3), 228. https://doi.org/10.3390/photonics11030228

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop