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Recent Advances in Luminescence Imaging of Biological Systems Using Lanthanide(III) Luminescent Complexes

The use of luminescence in biological systems allows one to diagnose diseases and understand cellular processes. Molecular systems, particularly lanthanide(III) complexes, have emerged as an attractive system for application in cellular luminescence imaging due to their long emission lifetimes, high brightness, possibility of controlling the spectroscopic properties at the molecular level, and tailoring of the ligand structure that adds sensing and therapeutic capabilities. This review aims to provide a background in luminescence imaging and lanthanide spectroscopy and discuss selected examples from the recent literature on lanthanide(III) luminescent complexes in cellular luminescence imaging, published in the period 2016–2020. Finally, the challenges and future directions that are pointing for the development of compounds that are capable of executing multiple functions and the use of light in regions where tissues and cells have low absorption will be discussed.

Lanthanide(III) (Ln III ) ions are very attractive for application in cellular luminescence imaging [14][15][16][17][18][19][20][21][22][23][24][25][26] due to long emission lifetimes, which enable time-gated detection and thus increased signal-to-noise ratio, and narrow emission bands. As the emission is due to parity-forbidden f -f transitions, a chromophore bound to the metal ion is used as sensitizer; it absorbs energy and transfers it to the Ln III ion, which then emits light ( Figure 1) [24,27,28]. Soini and Hemmilä were the first ones to report on the use of the long-lived Ln III emission in bioimaging [29]. That was followed by decades of contribution from Bünzli s research group to the establishment and applicability of Ln III compounds in bioimaging [20,21,30]. Since then, the use of Ln III complexes in bioimaging has flourished, and several examples are found in the literature [16,17,[31][32][33].
For use in cellular luminescence imaging, the Ln III complexes have to meet the following requirements: water-solubility, thermodynamic stability, absorption band at or above 405 nm, high brightness, and excited state lifetime in the micro-or milliseconds range [26]. Eu III is still the most used Ln III in bioimaging due to its luminescence lifetime in the millisecond range, and bright emission in the red region of the electromagnetic spectrum, that allows time-gated detection in a region in which the cells and tissues have low scattering [34]. Most recent developments in Ln III luminescent complexes in the broad field of luminescence imaging are focused on systems capable of luminescence and sense a biological relevant species [35][36][37], development of compounds that are capable of imaging and therapy [31,38,39], and the use of excitation and/or emission in a region where there is low scattering by cells and tissues [15,32,40]. All those developments are geared towards compounds that are capable of executing multiple functions, which means a decrease in the cost, more results obtained with a single compound, and the use of less energetic radiation to avoid cell or tissue damage.
This review aims to provide a background in luminescence imaging and lanthanide spectroscopy and discuss selected examples of recent literature on lanthanide(III) luminescent complexes in cellular luminescence imaging, published in the period 2016-2020. For detailed information about lanthanide luminescence, internalization processes of Ln III complexes, Ln III bioconjugates, Ln III NIR luminescence imaging, molecular upconversion systems, and upconversion nanoparticles the reader is referred to other reviews [24,28,[41][42][43][44][45][46][47][48][49]. Finally, the challenges and future directions that are pointing for the development of compounds that are capable of executing multiple functions, and the use of light in regions where tissues and cells have low absorption will be discussed.

Luminescence Imaging
The basic principle of luminescence imaging is to excite a volume of a sample containing a photoluminescent label and collect the light emitted. The excitation of the sample is achieved with light coming from the top, in a setup called inverted microscope, or from the bottom, in a setup called upright microscope. Inverted microscopes are recommended for samples fixed in a glass slide, and upright microscopes for live samples due to closer proximity between lenses and sample in the former. The two used methods to image biological samples using photoluminescent labels are widefield (WF), and confocal (CF) microscopy [50].
In WF microscopes, the excitation light is first collimated by a set of lenses (L1), reflected by a dichroic mirror (DM), and excite the sample (Figure 2a). The resulting emission passes through the dichroic mirror (DM), filter (F), and a lens (L3) focuses it on the detector that transforms the photons in the electrical signal, Figure 2a. The advantage of the WF microscopy is that it allows the use of versatile excitation sources such as Hg-(230-600 nm), Xe-arc lamp (250-1000 nm), or LEDs that cover a wide range of wavelengths. The downside of this system is that a large area of the sample is excited, resulting in undesirable background emission that causes a decrease in the signal-to-noise ratio. Also, Hg-and Xe-arc lamps have a low lifetime, ~200-500, and ~400-100 h, respectively, and an excessive amount of heat is generated, which requires special housing and ventilation. That is one of the reasons that LEDs have become popular. They have higher lifetimes (~10,000-100,000 h), generate a negligible amount of heat, and have output light intensity comparable to Hg-or Xe-arc lamps [50,51].
In CF microscopes, the excitation light is first collimated by a set of lenses (L1), passes through a pinhole, it is then reflected by a dichroic mirror (DM), focalized by lenses (L2), and excite a specific volume of the sample (Figure 2b). The resulting emission passes through the dichroic mirror (DM), filter (F), it is then focused by a lens (L3) to the pinhole and gets to the detector, Figure 2b [52][53][54]. In Most recent developments in Ln III luminescent complexes in the broad field of luminescence imaging are focused on systems capable of luminescence and sense a biological relevant species [35][36][37], development of compounds that are capable of imaging and therapy [31,38,39], and the use of excitation and/or emission in a region where there is low scattering by cells and tissues [15,32,40]. All those developments are geared towards compounds that are capable of executing multiple functions, which means a decrease in the cost, more results obtained with a single compound, and the use of less energetic radiation to avoid cell or tissue damage.
This review aims to provide a background in luminescence imaging and lanthanide spectroscopy and discuss selected examples of recent literature on lanthanide(III) luminescent complexes in cellular luminescence imaging, published in the period 2016-2020. For detailed information about lanthanide luminescence, internalization processes of Ln III complexes, Ln III bioconjugates, Ln III NIR luminescence imaging, molecular upconversion systems, and upconversion nanoparticles the reader is referred to other reviews [24,28,[41][42][43][44][45][46][47][48][49]. Finally, the challenges and future directions that are pointing for the development of compounds that are capable of executing multiple functions, and the use of light in regions where tissues and cells have low absorption will be discussed.

Luminescence Imaging
The basic principle of luminescence imaging is to excite a volume of a sample containing a photoluminescent label and collect the light emitted. The excitation of the sample is achieved with light coming from the top, in a setup called inverted microscope, or from the bottom, in a setup called upright microscope. Inverted microscopes are recommended for samples fixed in a glass slide, and upright microscopes for live samples due to closer proximity between lenses and sample in the former. The two used methods to image biological samples using photoluminescent labels are widefield (WF), and confocal (CF) microscopy [50].
In WF microscopes, the excitation light is first collimated by a set of lenses (L1), reflected by a dichroic mirror (DM), and excite the sample (Figure 2a). The resulting emission passes through the dichroic mirror (DM), filter (F), and a lens (L3) focuses it on the detector that transforms the photons in the electrical signal, Figure 2a. The advantage of the WF microscopy is that it allows the use of versatile excitation sources such as Hg-(230-600 nm), Xe-arc lamp (250-1000 nm), or LEDs that cover a wide range of wavelengths. The downside of this system is that a large area of the sample is excited, resulting in undesirable background emission that causes a decrease in the signal-to-noise ratio. Also, Hg-and Xe-arc lamps have a low lifetime,~200-500, and~400-100 h, respectively, and an excessive amount of heat is generated, which requires special housing and ventilation. That is one of the reasons that LEDs have become popular. They have higher lifetimes (~10,000-100,000 h), generate a negligible amount of heat, and have output light intensity comparable to Hg-or Xe-arc lamps [50,51].
is essential in the CF system, as it excludes any emission that is not from the focal point, Figure 2c. CF setups allow a better resolution with increased signal-to-noise ratio and construction of 3D images. The downside of this system is the cost, and the possibility to use only lasers as the excitation source, which constrains the possible wavelengths (405, 440, 488, 514, 568, 635 and 685 nm, are the most common). In both WF and CF microscope setups described above, the same lens is used to both excite and collect the emission from the sample. Thus, the two systems receive the epi-fluorescence name. The comparison between luminescence images obtained by WF and CF microscope setups is shown in Figure 3. The advantages and disadvantages of each setup are summarized in Table 1.

Technique
Advantages Disadvantages

WF microscopy
Wide range of excitation wavelengths, low cost Does not allow the construction of 3D images, usually low signal-to-noise ratio CF microscopy Allows the construction of 3D images, high signal-to-noise ratio The excitation wavelengths are restricted to specific wavelengths, high cost In CF microscopes, the excitation light is first collimated by a set of lenses (L1), passes through a pinhole, it is then reflected by a dichroic mirror (DM), focalized by lenses (L2), and excite a specific volume of the sample (Figure 2b). The resulting emission passes through the dichroic mirror (DM), filter (F), it is then focused by a lens (L3) to the pinhole and gets to the detector, Figure 2b [52][53][54]. In this setup, all the excitation light is focused on a small volume of sample, which increases the light intensity, and only light emitted from that specific point is allowed to get to the detector. The pinhole is essential in the CF system, as it excludes any emission that is not from the focal point, Figure 2c. CF setups allow a better resolution with increased signal-to-noise ratio and construction of 3D images. The downside of this system is the cost, and the possibility to use only lasers as the excitation source, which constrains the possible wavelengths (405, 440, 488, 514, 568, 635 and 685 nm, are the most common). In both WF and CF microscope setups described above, the same lens is used to both excite and collect the emission from the sample. Thus, the two systems receive the epi-fluorescence name.

4f-4f Electronic Transitions
The comparison between luminescence images obtained by WF and CF microscope setups is shown in Figure 3. The advantages and disadvantages of each setup are summarized in Table 1. this setup, all the excitation light is focused on a small volume of sample, which increases the light intensity, and only light emitted from that specific point is allowed to get to the detector. The pinhole is essential in the CF system, as it excludes any emission that is not from the focal point, Figure 2c. CF setups allow a better resolution with increased signal-to-noise ratio and construction of 3D images. The downside of this system is the cost, and the possibility to use only lasers as the excitation source, which constrains the possible wavelengths (405, 440, 488, 514, 568, 635 and 685 nm, are the most common). In both WF and CF microscope setups described above, the same lens is used to both excite and collect the emission from the sample. Thus, the two systems receive the epi-fluorescence name.
(a) (b) (c) The comparison between luminescence images obtained by WF and CF microscope setups is shown in Figure 3. The advantages and disadvantages of each setup are summarized in Table 1.

4f -4f Electronic Transitions
Luminescence is the spontaneous emission of radiation from electronically or vibrationally excited species not in thermal equilibrium with their environment [56]. The characteristic 4f -4f electronic transitions of Ln III are sharp due to the small Stokes shift caused by the core nature of the 4f electrons, shielded from the coordination environment by the 5s and 5p electrons, which minimizes the perturbation of the 4f electrons by the ligand field (Figure 4a,b) [57]. As a result of the shielding and high atomic number, the inter-electronic repulsion has a magnitude of~10 4 cm −1 , while the spin-orbit coupling and ligand field have magnitudes of~10 3 and~10 2 cm −1 , respectively. Thus, the splitting of the energy levels of the Ln III ions is dominated by the first one, as shown in Figure 4b [57]. Luminescence is the spontaneous emission of radiation from electronically or vibrationally excited species not in thermal equilibrium with their environment [56]. The characteristic 4f-4f electronic transitions of Ln III are sharp due to the small Stokes shift caused by the core nature of the 4f electrons, shielded from the coordination environment by the 5s and 5p electrons, which minimizes the perturbation of the 4f electrons by the ligand field (Figure 4a,b) [57]. As a result of the shielding and high atomic number, the inter-electronic repulsion has a magnitude of 10 4 cm −1 , while the spinorbit coupling and ligand field have magnitudes of 10 3 and 10 2 cm −1 , respectively. Thus, the splitting of the energy levels of the Ln III ions is dominated by the first one, as shown in Figure 4b   The energies of the transitions are therefore characteristic of each Ln III ion, and the most intense transitions are located, for example, in the UV (Gd III ), visible (Tb III -green, Dy III -yellow, Sm IIIorange, Eu III -red) or near infra-red (Nd III or Yb III ), as illustrated in Figure 5. The energies of the transitions are therefore characteristic of each Ln III ion, and the most intense transitions are located, for example, in the UV (Gd III ), visible (Tb III -green, Dy III -yellow, Sm III -orange, Eu III -red) or near infra-red (Nd III or Yb III ), as illustrated in Figure 5.
The unique nature of the 4f -4f electronic transitions is examined in the seminal publication by Van Vleck [59], in which he discusses the possible mechanisms for the 4f -4f electronic transitions, namely magnetic dipole (  Table 2. The energies of the transitions are therefore characteristic of each Ln III ion, and the most intense transitions are located, for example, in the UV (Gd III ), visible (Tb III -green, Dy III -yellow, Sm IIIorange, Eu III -red) or near infra-red (Nd III or Yb III ), as illustrated in Figure 5. The unique nature of the 4f-4f electronic transitions is examined in the seminal publication by Van Vleck [59], in which he discusses the possible mechanisms for the 4f-4f electronic transitions, Figure 5. Main electronic transitions of the Gd III , Tb III , Dy III , Sm III , Eu III , Nd III , and Yb III ions. Table 2. Formula, symmetry operation and selection rules of the magnetic dipole, electric quadrupole and electric dipole transitions [27].

Magnetic
The magnetic dipole operator depends on the coupling between the magnetic orbital and spin moments and explains part but not all the observed transitions. The 4f -4f transitions are allowed by electric quadrupole, however, the calculated oscillator strengths (10 −11 ) are lower than the experimental ones (10 −7 ). The electric dipole mechanism cannot connect states with the same parity (for example, f -f ) in the presence of an inversion center, also known as the Laporte or parity rule. However, in an asymmetric ligand field, the inversion center is absent, and the Laporte rule is relaxed. This mechanism is known as forced electric dipole and can be used to explain the 4f -4f electronic transitions and the observed experimental oscillator strengths [60][61][62]. The Laporte rule can be demonstrated using group theory. For this example, the symmetry point group O will be considered to predict if a given 4f -4f transition is allowed or not. According to the Wigner-Eckart theorem (Equation (1)), if the direct product between the initial state (Γ i ) and electric dipole operator (Γ µ ) irreducible representations contains the final state ir.educible representation Γ f , then the transition is allowed [63]: where Γ is the irreducible representation associated with the initial (i) and final (f ) states, and the electric dipole operator (µ). In this case, the direct product between the 5 D 0 and electric dipole irreducible representations is, Γ 5D0 × Γ µ = A 1 × T 1 = T 1 ; thus, only transitions to final states that have the A 1 representation will be allowed. Therefore, in the symmetry point group O, the 5 D 0 → 7 F 2 transition is not allowed, Figure 6. For more details regarding the symmetry rules and the number of allowed transitions, the reader is referred to the literature [63][64][65]. electric dipole operator (µ).
In this case, the direct product between the 5 D0 and electric dipole irreducible representations is,  5D0 × Γµ= A1 × T1 = T1; thus, only transitions to final states that have the A1 representation will be allowed. Therefore, in the symmetry point group O, the 5 D0  7 F2 transition is not allowed, Figure 6. For more details regarding the symmetry rules and the number of allowed transitions, the reader is referred to the literature [63][64][65]. The Laporte forbidden nature of the f-f transitions results in a low absorption coefficient, 1 -10 mol −1 L cm −1 , and long excited state lifetimes, in the range of micro to milliseconds. The limitation imposed by the low molar absorptivity is circumvented by coordinating a chromophore to the Ln III . The chromophore functions as the sensitizer, and this process is known as the antenna effect. In a Ln III coordination complex, the light is absorbed by an organic chromophore (through S  S* The Laporte forbidden nature of the f -f transitions results in a low absorption coefficient, 1-10 mol −1 L cm −1 , and long excited state lifetimes, in the range of micro to milliseconds. The limitation imposed by the low molar absorptivity is circumvented by coordinating a chromophore to the Ln III . The chromophore functions as the sensitizer, and this process is known as the antenna effect. In a Ln III coordination complex, the light is absorbed by an organic chromophore (through S → S* transitions); after inter-system crossing (ISC) the energy is transferred from the triplet level T of the ligand to the Ln III excited level f *, and finally emitted through the characteristic 4f -4f transitions, as shown in Figure 1. The influence of the ligand s triplet level T energy, of the symmetry of the complex and the donor-acceptor distance on the luminescence efficiency, has been extensively described [28,66,67]. Charge transfer states such as ligand-to-metal (LMCT) and intra-ligand charge (ILCT) can also contribute to the energy transfer process [28,68,69].

Quantum Yield of Sensitized Emission (Φ Ln
L ) and Brightness (B λ ) The characterization of Ln III ion complexes for emission applications involves quantification of the emission efficiency of the compound, also called the quantum yield of sensitized emission, Φ Ln L . In the case of Eu III , the intrinsic quantum yield, Φ Ln Ln , is easily accessible experimentally (vide infra) and thus also often reported. Φ Ln Ln measures the ability of a given ligand system to protect the emissive levels from non-radiative deactivation.
The intrinsic quantum yield is equivalent to the emission efficiency using direct f -f excitation. Technically, it is possible to measure the Φ Ln Ln using an integrating sphere for samples in the solid-state if the ligand band does not overlap with the f -f transitions [68,70,71]. However, depending on the non-radiative and radiative rates, the measurement using an integrating sphere results in errors up to 60% [68,71]. Therefore, the determination of Φ Ln Ln using Equation (2) leads to the most trustable results: where A tot is the total radiative emission rate (A tot = 1/τ obs τ obs is the experimentally determined emission lifetime) and A rad is the radiative emission rate, determined using Equation (3) [72]: ν i is the frequency of the transition, J is the quantum number of the initial state, χ ed and χ md are the Lorentz local field corrections, S ed and S md are the strengths of the transitions. ed and md stand for where A MD, 0 is the coefficient of spontaneous emission for the 5 D 0 → 7 F 1 magnetic dipole transition (14.65 s −1 ), n is the refractive index of the solution, I tot and I MD are the integrated area of the whole emission spectra and of the 5 D 0 → 7 F 1 transitions, respectively.
In the case of the other lanthanides(III), there is no "pure" magnetic dipole transition which means that the absorption spectra must be used to calculate A rad . More details about the equations and the method use to obtain A rad is described by Sigoli and co-workers [73].
The experimental determination of the quantum yield of sensitized emission can be done through absolute or comparative methods. Measurement using the absolute method involves the use of an integrating sphere, to determine the ratio of photons emitted by the sample inside the integrating sphere to incident photons, as outlined in Equation (5) [27]: where I is the intensity of emitted light and L is the scattering of incident radiation observed. sample and empty stand for integrating sphere with and without the sample, respectively. The comparative method involves the determination of the quantum yield using a standard. A list of different standards is described in the literature [74]. When using a standard, it is desirable to excite sample and standard at the same wavelength, and it is desirable that sample and standard have emission bands in the same region of the spectrum, to account for the wavelength-dependent instrument response. To overcome potential problems with sample concentrations outside the Lambert-Beer regime, the dilution method is often used. Several solutions with different concentrations of sample and standard are prepared and the overall quantum yield is then determined with Equation (6): where n is the refractive index, I is the intensity of the excitation source, Grad are the slopes of the plots of integrated emission spectra against absorbance of each solution for sample and standard, and Φ std is the quantum yield of the standard. A list with several standards and its excitation and emission wavelengths can be found in the literature [74]. In luminescence imaging, brightness (B λ ) is an essential parameter to be considered. High brightness is desirable to obtain images with low background noise in short periods of time. The emission brightness (B λ ) is determined using Equation (7): where ε is the molar absorptivity (or molar extinction coefficient), and Φ Ln L is the quantum yield, both determined at the wavelength λ. To maximize the brightness, a combination of high molar absorptivity coefficients and high quantum yield is necessary.

Deactivation of the Ln III Excited State
The Ln III emission intensity is sensitive to non-radiative deactivation processes such as back-energy transfer, thermal deactivation, and deactivation by vibrational coupling between the Ln III excited level and coordinated solvent molecules. Figure 7 shows the electronic levels for Tb III , Eu III and Yb III ,  Figure 6, quenching of the 5 D 4 Tb III and 5 D 0 Eu III excited levels require vibrational coupling with 5-6, and 4-5 phonons, respectively, while the 2 F 5/2 Yb III excited level only requires vibrational coupling with three phonons. The ease in quenching the Yb III excited level is one of the challenges to overcome in developing Yb III complexes for luminescence imaging.

Deactivation of the Ln III Excited State
The Ln III emission intensity is sensitive to non-radiative deactivation processes such as backenergy transfer, thermal deactivation, and deactivation by vibrational coupling between the Ln III excited level and coordinated solvent molecules. Figure 7 shows the electronic levels for Tb III , Eu III and Yb III , and the phonons for the water molecule O-H vibrations ν(O-H) ~3600cm -1 ). As shown in Figure 6, quenching of the 5 D4 Tb III and 5 D0 Eu III excited levels require vibrational coupling with 5 -6, and 4 -5 phonons, respectively, while the 2 F5/2 Yb III excited level only requires vibrational coupling with three phonons. The ease in quenching the Yb III excited level is one of the challenges to overcome in developing Yb III complexes for luminescence imaging.  The number of coordinated water molecules (q) to Eu III , Tb III , and Yb III ions is correlated with the emission lifetime (τ) and can be determined using the Equations (8)-(10) [75,76], respectively: where τ is the emission lifetime measured in H 2 O and D 2 O. The stability constant β, or more commonly its log, log(β), is a number that correlates with the stability of the Ln III complex in solution. A high value of log(β) means that the concentration of free Ln III and free ligand in solution is small; in other words, it means stability in solution. A wide variety of Eu III and Gd III complexes, along with their log(β) values are shown in Figure 8 [27,28,77]. Eu III and Gd III were chosen mainly because of the number of reports available, and because those elements are in the middle of the Ln III series; thus, they are a good representation of the whole series. Usually, tri-or multi-dentate negatively charged ligands form Ln III complexes with high stability constants due to the thermodynamic stability yielded by the chelate bonding, and strong ionic interaction between charged ligand and Ln III , respectively. As shown in Figure 8, uncharged ligands tend to form less stable Ln III complexes compared with the charged ones. General guidelines can be drawn from the compilation of different stability constants for different Ln III complexes. However, the presence of competing cations, the size of the ligands, and the coordination strength of the solvents are factors that must be taken into account as well. For biological applications, Ln III complexes containing multi-dentate ligands and coordination numbers of nine or higher are preferred due to the high stability in aqueous solution.
compilation of different stability constants for different Ln III complexes. However, the presence of competing cations, the size of the ligands, and the coordination strength of the solvents are factors that must be taken into account as well. For biological applications, Ln III complexes containing multidentate ligands and coordination numbers of nine or higher are preferred due to the high stability in aqueous solution.

Cell Lines Abbreviations and Ligand Structures
The cell line abbreviations and ligand structures mentioned along this review are shown below on Table 3, and Figure 9.

Cell Lines Abbreviations and Ligand Structures
The cell line abbreviations and ligand structures mentioned along this review are shown below on Table 3, and Figure 9. Mouse fibroblast L929 Figure 9. Structures of the ligands mentioned throughout this review.

Nanoparticles and Polymers Systems Functionalized with Ln III Complexes in Bioimaging
Nanoparticles (NPs) are a versatile platform due to their facile synthesis and easy functionalization of the surface to achieve multiple functionalities, for example, luminescence imaging and therapy [89,90]. The low cell penetrability, low molar extinction coefficient, and absorption band in the deep UV region of the electromagnetic spectrum are however limiting factors for the use of NPs in luminescence imaging [91]. Those are circumvented by functionalizing its surface with cell receptors that facilitate cell recognition and uptake, and Ln III complexes, that improve the absorption and emission of light [92][93][94][95][96][97], respectively. For example, surface functionalization of hydroxyapatite NPs (HNPs) with [Eu(dbm) 3 (H 2 O) 2 ] complexes yielded a system with low cytotoxicity and capable of luminescence imaging HeLa cells [92][93][94]. Although the system mentioned above is biocompatible, the cell uptake is low, resulting in the use of higher concentrations to obtain the luminescence images. Surface functionalization with folic acid (FA), a receptor overexpressed in cancer cells, improved the cellular uptake of the Eu III -HNPs by HeLa cells [95]. The use of nucleic acid-base aptamers is another strategy for improving the NPs cell uptake due to its low cost, strong interaction, and specificity towards cancer cells [98]. Bioconjugation of Ln III complexes, protected by a silica shell, with the aptamer Sgc8 using glutaraldehyde or succinic anhydride and EDAC/Sulfo-NHS resulted in a system that has a strong affinity for CCRF-CEM and Jurkat cells [96,97].
Coating Ln III complexes with silica shells [96,97], use of heterobimetallic Ir I /Eu III [99], and decoration of NPs surface with chromophores [100] are strategies used to improve the emission intensity of NPs. For example, Ir/Eu heterobimetallic complexes were trapped inside mesoporous silica nanoparticles (MSN) to improve water solubility. The system showed emission quantum yield of 55.2%, low cytotoxicity in the concentration range 0-200 mg mL −1 and was used for luminescence imaging of HeLa cells [99]. Decoration of Ln III NPs with chromophores is another strategy for improving the Ln III emission intensity, and for protecting the Ln III against solvent molecules coordination [100]. Using this strategy, La 0.9 Tb 0.1 F 3 NPs decorated with 3,3 -((butane-1,4-diylbis(azanediyl))bis(carbonyl))bis(2-hydroxybenzoic acid)-L NP -were used in luminescence imaging of HeLa cells ( Figure 10) [100].

Nanoparticles and Polymers Systems Functionalized with Ln III Complexes in Bioimaging
Nanoparticles (NPs) are a versatile platform due to their facile synthesis and easy functionalization of the surface to achieve multiple functionalities, for example, luminescence imaging and therapy [89,90]. The low cell penetrability, low molar extinction coefficient, and absorption band in the deep UV region of the electromagnetic spectrum are however limiting factors for the use of NPs in luminescence imaging [91]. Those are circumvented by functionalizing its surface with cell receptors that facilitate cell recognition and uptake, and Ln III complexes, that improve the absorption and emission of light [92][93][94][95][96][97], respectively. For example, surface functionalization of hydroxyapatite NPs (HNPs) with [Eu(dbm)3(H2O)2] complexes yielded a system with low cytotoxicity and capable of luminescence imaging HeLa cells [92][93][94]. Although the system mentioned above is biocompatible, the cell uptake is low, resulting in the use of higher concentrations to obtain the luminescence images. Surface functionalization with folic acid (FA), a receptor overexpressed in cancer cells, improved the cellular uptake of the Eu III -HNPs by HeLa cells [95]. The use of nucleic acid-base aptamers is another strategy for improving the NPs cell uptake due to its low cost, strong interaction, and specificity towards cancer cells [98]. Bioconjugation of Ln III complexes, protected by a silica shell, with the aptamer Sgc8 using glutaraldehyde or succinic anhydride and EDAC/Sulfo-NHS resulted in a system that has a strong affinity for CCRF-CEM and Jurkat cells [96,97].
Coating Ln III complexes with silica shells [96,97], use of heterobimetallic Ir I /Eu III [99], and decoration of NPs surface with chromophores [100] are strategies used to improve the emission intensity of NPs. For example, Ir/Eu heterobimetallic complexes were trapped inside mesoporous silica nanoparticles (MSN) to improve water solubility. The system showed emission quantum yield of 55.2%, low cytotoxicity in the concentration range 0 -200 mg mL −1 and was used for luminescence imaging of HeLa cells [99]. Decoration of Ln III NPs with chromophores is another strategy for improving the Ln III emission intensity, and for protecting the Ln III against solvent molecules coordination [100]. Using this strategy, La0.9Tb0.1F3 NPs decorated with 3,3′-((butane-1,4diylbis(azanediyl))bis(carbonyl))bis(2-hydroxybenzoic acid) -LNP -were used in luminescence imaging of HeLa cells ( Figure 10) [100]. Polymeric systems have high absorption cross-section, high photostability, and, similar to NPs, offers the possibility of multi functionalities through the attachment of different compounds throughout the polymeric chain [101][102][103][104][105]. The broad emission bands and the low emission lifetimes are disadvantages of polymeric systems for use in luminescence imaging. Coordination of Ln III in the polymer structure results in systems with narrow emission bands, and emission lifetime in the microsecond to millisecond range that is suitable for time-gated imaging [106][107][108][109][110][111]. Biocompatible Polymeric systems have high absorption cross-section, high photostability, and, similar to NPs, offers the possibility of multi functionalities through the attachment of different compounds throughout the polymeric chain [101][102][103][104][105]. The broad emission bands and the low emission lifetimes are disadvantages of polymeric systems for use in luminescence imaging. Coordination of Ln III in the polymer structure results in systems with narrow emission bands, and emission lifetime in the microsecond to millisecond range that is suitable for time-gated imaging [106][107][108][109][110][111]. Biocompatible polymers such as polysiloxanes, imidazole-based polymers, and polymeric sugar chains functionalized with Ln III are widely used in luminescence imaging [107][108][109]. Imidazole-based polymers are particularly advantageous due to the capability of bonding to Ln III using the nitrogen atom from the imidazole moiety. Thus, in this kind of system extra steps to add Ln III coordinating capabilities are not required. For example, self-assembled imidazole polymers (VI-c-PEGMA) coordinated to Dy III and coated with silica was found to be chemically stable and successfully used in the luminescence imaging of L929 cells [108]. Although not specified, it is assumed that the images were obtained using excitation centered at the Dy 4f -4f transitions. Sugar polymeric chains are an alternative in the search for more biocompatible polymers due to their ease diffusion in cells and in the body [112]. Natural sugar polymeric chains modified with the [Tb(dota)] complex, were successfully used in time-gated images of arteries yielding results comparable with the magnetic resonance imaging (MRI) using similar Gd III complexes [109].
Systems capable of executing multiple functions, also called multimodal systems, are desirable due to the possibility of obtaining more information using a single system [113][114][115]. For example, NPs functionalized with the [Eu(aa) 2 (dta)(phen)] complex can be used not only in luminescence imaging but also in X-ray computed tomography imaging (CT) due to the high X-ray absorption cross-section of Eu III [116]. As discussed above, NPs and polymers functionalized with Ln III complexes are dynamic systems for application in luminescence imaging. However, the internalization of NPs in cells is difficult due to the size in the range from tenths to thousands of nanometers, resulting in undesired accumulation in the body, and limiting in vivo applications [91]. The use of molecular systems, namely Ln III complexes, provides the control of the spectroscopic properties at the molecular level, and tailoring of the ligand structure that adds sensing and therapy capabilities, for example.

Visible Emitting Ln III Complexes in Bioimaging
Control of the spectroscopic and chemical properties at the molecular level and the higher cell penetrability, due to the small size, of Ln III luminescent complexes, are advantages for use in luminescence imaging of biological systems. The formation of the Ln III complexes inside the cells is the most straightforward strategy used in luminescence imaging [117,118]. For example, treatment of Hepg2 cells with Eu(NO 3 ) 3 produced a luminescent Eu III complex that is not observed using the healthy L02 cell lines [117]. Although there is selectivity towards cancer cells, the identity of the ligands bonded to Eu III could not be figured out, and only a possible mechanism of formation involving NADPH was proposed. Attempts to get more information about the identity of the complexes formed in CHO cells treated with Eu III or Tb III acetate were made by Sørensen and co-workers, using a state-of-the-art confocal microscope [118]. The comparable intensities of the 5 D 0 → 7 F 1 and 5 D 0 → 7 F 2 transitions in the emission spectra suggested that the Eu III is in a high symmetry coordination environment [118]. The luminescence images also showed Ln III accumulation in the glycocalyx that points to bonding with specific components of it such as sugars [118].
Spontaneous internalization of Ln III complexes in cells is unpredictable, and effort has been made to determine the correlation structure-cell uptake [21,42,[119][120][121][122][123][124][125][126][127]. The usual mechanism of cellular uptake of low molecular weight complexes is endocytosis [42]. In this mechanism, the complex interacts with the membrane forming vesicles that are responsible for the internalization of the Ln III complexes in the cell [42]. Thus, shape [119][120][121][122][123][124][125], chirality [128], and charge [21,42,127] are some of the factors that influence cell uptake. A thorough study conducted by Parker s research group, using dota-and triazacyclonane-derivatized Ln III complexes, concluded that the mechanism of cell uptake involves recognition of the Ln III complex by proteins. Thus, the shape and the chirality of the complex are factors that determine cell uptake [119][120][121][122][123][124][125]128]. The charge also plays an essential factor in the cell uptake of Ln III complexes. Due to the strong negative charge of the cellular membrane, Ln III complexes with a positive overall charge are more likely to be internalized [21,42,127]. Although general guidelines for improving cell uptake are found, this process is sometimes unpredictable. Other studies found that change in the hydrophobicity or charge does not influence cell uptake [126]. In other cases, simple functionalization of the dipicolinato-based ligands with amino (-NH 2 ) groups, yielded Eu III complexes that are selectively internalized by NG97 and PANC1 cells, capable of imaging, and show moderate cytotoxicity towards those kinds of cells ( Figure 11) [31]. The bioconjugation of Ln III complexes with antibodies or proteins improves the cell uptake and allows targeting a specific kind of cell. The bioconjugation is achieved by reacting the amino (-NH2) or tiol (-SH) groups from a protein with isothiocyanato, chlorosulphonyl, 2,4-dichloro-1,3,5-triazinyl, or N-hydroxysuccinimide groups from the Ln III complex [77,111,119,129]. Although bioconjugation is an expensive method, it yields luminescent compounds that have a particular target cell [130].
Accumulation of Ln III luminescent compounds in a specific organelle helps to unravel the different cellular processes [131][132][133]. Recent examples show that Ln III complexes are found to accumulate in different regions of the cell, such as lysosome [134], nucleoli [135], cytosol [136], and primary cilium [137]. The ligand structure plays an essential role in directing the specific organelle that the Ln III complexes accumulate. For example, functionalization of the ligands with triphenylphosphonium, morpholine, or methyl phenyl sulfonamide yielded accumulation of Ln III luminescent complexes in the mitochondria, lysosomes, and endoplasmic reticulum, respectively [138][139][140]. Dopamine-functionalized complexes [Ln(dtpa-dopa)(H 2 O)] (Ln = Eu III or Tb III ), were found to accumulate in the cytosol of HeLa and Neuro-2 cells, with low cytotoxicity [136] while the [Ln(tfnb) 3 (dpq)] (Ln = Eu III or Tb III ) complexes containing planar aromatic ligands were found to accumulate in the nucleoli [135]. In this case, the strong interaction between [Ln(tfnb) 3 (dpq)] (Ln = Eu III or Tb III ) complexes and DNA, and extensive photoinduced DNA damage (λ exc = 364 nm) were used to kill H460 cells [135]. The examples mentioned above highlight the potential of molecular Ln III systems in luminescence imaging. Although successful, emission in the visible is scattered by cells and tissues; thus, luminescent Ln III complexes with emission in the biological window-a region where cells and tissues have low absorption-is needed (Figure 12).

NIR Emitting Ln III Complexes in Bioimaging
NIR emitting Ln III complexes are being recently applied in luminescence imaging due to its emission in the biological window. There are two significant challenges for developing NIR emitters for use in luminescence imaging, the first one is the low instrumental sensitivity in the NIR, and the second one is to overcome the high non-radiative rates caused by vibrational coupling with O-H vibrations, mentioned in Section 3.2, reflecting in low emission quantum yields, and low brightness compared with visible emitting Ln III [40,141].
[Nd(dtpa)] and [Nd(dota)] complexes were successfully used in in vivo NIR luminescence imaging [142,143]. Although successful, due to the absence of chromophore groups in the ligands structure, the excitation was centered at the 4f -4f transitions that required high excitation power and longer acquisition times. To overcome this limitation, Yb III complexes with porphyrin-based ligands and Kläui ligands (L K ) have been used for in vitro and in vivo NIR luminescence imaging [16,17,25,144]. Porphyrin-based ligands have low energy singlet and triplet levels that are adequate to sensitize NIR emitting Ln III [145]. The functionalization of porphyrin ligands with a benzoic acid moiety yielded Yb III complexes ([Yb(L COOH )(L K )]) that are capable of sensing pH in vitro and in vivo [17]. The decrease in the Yb III emission lifetime was observed in the range 5.0-9.0, and 5.0-1.0 due to photoinduced electron transfer (PET) and aggregation effects, respectively ( Figure 13) [17]. The use of polymeric systems formed by 1,n-dihydroxyanthraquinone-functionalized polystyrene (PS) is also a strategy used for sensitizing the Yb III emission and imaging HeLa cells with low cytotoxicity [146]. The use of Sm III complexes is an alternative to the traditional Yb III and Nd III NIR emitters. Due to transitions in both the visible ( 4 G 5/2 → 6 H 7/2 ,~600 nm) and NIR ( 4 G 5/2 → 6 F 5/2 ,~950 nm) Sm III complexes are attractive for combined Vis and NIR luminescence imaging [147].

NIR Emitting Ln III Complexes in Bioimaging
NIR emitting Ln III complexes are being recently applied in luminescence imaging due to its emission in the biological window. There are two significant challenges for developing NIR emitters for use in luminescence imaging, the first one is the low instrumental sensitivity in the NIR, and the second one is to overcome the high non-radiative rates caused by vibrational coupling with O-H vibrations, mentioned in Section 3.2, reflecting in low emission quantum yields, and low brightness compared with visible emitting Ln III [40,141].
[Nd(dtpa)] and [Nd(dota)] complexes were successfully used in in vivo NIR luminescence imaging [142,143]. Although successful, due to the absence of chromophore groups in the ligands′ structure, the excitation was centered at the 4f-4f transitions that required high excitation power and longer acquisition times. To overcome this limitation, Yb III complexes with porphyrin-based ligands and Kläui ligands (LK) have been used for in vitro and in vivo NIR luminescence imaging [16,17,25,144]. Porphyrin-based ligands have low energy singlet and triplet levels that are adequate to sensitize NIR emitting Ln III [145]. The functionalization of porphyrin ligands with a benzoic acid moiety yielded Yb III complexes ([Yb(LCOOH)(LK)]) that are capable of sensing pH in vitro and in vivo [17]. The decrease in the Yb III emission lifetime was observed in the range 5.0-9.0, and 5.0-1.0 due to photoinduced electron transfer (PET) and aggregation effects, respectively ( Figure 13) [17]. The use of polymeric systems formed by 1,n-dihydroxyanthraquinone-functionalized polystyrene (PS) is also a strategy used for sensitizing the Yb III emission and imaging HeLa cells with low cytotoxicity [146]. The use of Sm III complexes is an alternative to the traditional Yb III and Nd III NIR emitters. Due to transitions in both the visible ( 4 G5/2  6 H7/2, 600 nm) and NIR ( 4 G5/2  6 F5/2, 950 nm) Sm III complexes are attractive for combined Vis and NIR luminescence imaging [147].

Two-Photon Excitation Ln III Complexes in Bioimaging
Shifting the excitation towards longer wavelengths is another strategy to minimize interference from the background emission. However, the shift towards longer wavelengths results in decrease of the triplet level energy and inefficient sensitization of visible emitting Ln III [148]. Two-photon

Two-Photon Excitation Ln III Complexes in Bioimaging
Shifting the excitation towards longer wavelengths is another strategy to minimize interference from the background emission. However, the shift towards longer wavelengths results in decrease of the triplet level energy and inefficient sensitization of visible emitting Ln III [148]. Two-photon absorption (2PA) [149][150][151][152][153][154] is a nonlinear process where two photons with half the energy required by the one-photon excitation (1PA) are absorbed simultaneously ( Figure 14) [155,156]. As a result, the excitation wavelengths in the 2PA process are in the NIR and fall in the biological window. Lakowicz and co-workers pioneered the sensitization of Eu III emission using 2PA [157,158]. Since then, examples of the application of Eu III [15,[159][160][161][162], Tb III [33], Dy III [33], Yb III [32,163], and Sm III [15,163] complexes in 2P-luminescence imaging have been demonstrated. High 2P brightness (B (2) ), one of the critical factors for obtaining good quality luminescence imaging, is achieved by the presence of charge transfer states (CT) [40,164,165], high complex rigidity [166], or use of plasmonic bands [167]. For example, 2P-sensitized emission, using exc = 975 nm, of the [Eu(dbm)3(phen-NH2)] complex deposited onto a glass substrate is only observed when a layer of triangular silver nano prisms is present [167].
The use of excitation and emission in the NIR, also called NIR-to-NIR luminescence imaging, allows higher signal-to-noise ratio and luminescence imaging of deep tissues. Conventional confocal microscope setups do not allow measurement of emission in the 950-1050 nm range due to optical filtering schemes, and PMT detectors that are optimized for the visible range. By modifying the optical filtering schemes and connect an adequate NIR detector, Andraud and co-workers successfully obtained images using a combination of 2P-excitation and NIR emission (NIR-to-NIR luminescence imaging) [19]. Determination of the 3D blood capillary network in mouse brain using the NIR-emitting [Yb(tacnN(PEG)2)] complex validated the setup, and shortly after that, the first example of NIR-to-NIR luminescence imaging using the [Yb(dotaN(PEG)2)] + complex was reported [32]. Due to the possibility of emitting in the visible and NIR, Sm III complexes have been explored for use in luminescence imaging. For example, 2P-luminescence imaging of T24 cells in the visible and NIR was possible using the [Sm(tacnMeO)] complex ( Figure 15A,B) [163]. The NIR luminescence image quality obtained was similar to the analogous Yb III complex ( Figure 15C,D) [163]. Figure 14. Energy level diagram illustrating the antenna effect for Ln III . 2PA and 1PA are the twoand one-photon absorption, F fluorescence, P phosphorescence, ISC intersystem crossing, ET energy transfer, BT back-transfer, L luminescence, NR non-radiative pathways, S states with singlet and T states with triplet multiplicity. Reprinted with permission from [40]. Copyright (2020) American Chemical Society.
The use of excitation and emission in the NIR, also called NIR-to-NIR luminescence imaging, allows higher signal-to-noise ratio and luminescence imaging of deep tissues. Conventional confocal microscope setups do not allow measurement of emission in the 950-1050 nm range due to optical filtering schemes, and PMT detectors that are optimized for the visible range. By modifying the optical filtering schemes and connect an adequate NIR detector, Andraud and co-workers successfully obtained images using a combination of 2P-excitation and NIR emission (NIR-to-NIR luminescence imaging) [19]. Determination of the 3D blood capillary network in mouse brain using the NIR-emitting [Yb(tacnN(PEG) 2 )] complex validated the setup, and shortly after that, the first example of NIR-to-NIR luminescence imaging using the [Yb(dotaN(PEG) 2 )] + complex was reported [32]. Due to the possibility of emitting in the visible and NIR, Sm III complexes have been explored for use in luminescence imaging. For example, 2P-luminescence imaging of T24 cells in the visible and NIR was possible using the [Sm(tacnMeO)] complex ( Figure 15A,B) [163]. The NIR luminescence image quality obtained was similar to the analogous Yb III complex ( Figure 15C,D) [163].
the NIR-emitting [Yb(tacnN(PEG)2)] complex validated the setup, and shortly after that, the first example of NIR-to-NIR luminescence imaging using the [Yb(dotaN(PEG)2)] + complex was reported [32]. Due to the possibility of emitting in the visible and NIR, Sm III complexes have been explored for use in luminescence imaging. For example, 2P-luminescence imaging of T24 cells in the visible and NIR was possible using the [Sm(tacnMeO)] complex ( Figure 15A,B) [163]. The NIR luminescence image quality obtained was similar to the analogous Yb III complex ( Figure 15C,D) [163].  [163]. Reproduced from [163] with permission from John Wiley and Sons.
The addition of 1 O 2 generation [168,169], and DNA damage capabilities [159] to the Ln III complexes opens new ways for the use of those compounds as theranostics. For example, photoactivated DNA damage and 2P-luminescence imaging capabilities are possible using the heterobimetallic [Eu(dota-py)(H 2 O)RuCl(bpy) 3 ] + complex [159]. Upon illumination at 488 nm, there is the release of the [RuCl(bpy) 3 ] + complex increasing the Eu III emission intensity and also DNA damage ( Figure 16) [159]. Thus, this a system that has light-activated cytotoxicity and is capable of tracking the delivery of the complex using 2P-luminescence imaging. complex [163]. Reproduced from [163] with permission from John Wiley and Sons.
The addition of 1 O2 generation [168,169], and DNA damage capabilities [159] to the Ln III complexes opens new ways for the use of those compounds as theranostics. For example, photoactivated DNA damage and 2P-luminescence imaging capabilities are possible using the heterobimetallic [Eu(dota-py)(H2O)RuCl(bpy)3] + complex [159]. Upon illumination at 488 nm, there is the release of the [RuCl(bpy)3] + complex increasing the Eu III emission intensity and also DNA damage ( Figure 16) [159]. Thus, this a system that has light-activated cytotoxicity and is capable of tracking the delivery of the complex using 2P-luminescence imaging.

Molecular Upconversion Systems
Excitation of Ln III complexes at longer wavelengths is achieved through non-linear optical processes, such as two-photon absorption (2PA) (vide supra) or cumulative effects of multiple firstorder absorption phenomena, namely upconversion (UC) [170,171]. The latter can be achieved through excited-state absorption (ESA) and energy transfer upconversion (ETU), Figure 17. In the UC

Molecular Upconversion Systems
Excitation of Ln III complexes at longer wavelengths is achieved through non-linear optical processes, such as two-photon absorption (2PA) (vide supra) or cumulative effects of multiple first-order absorption phenomena, namely upconversion (UC) [170,171]. The latter can be achieved through excited-state absorption (ESA) and energy transfer upconversion (ETU), Figure 17. In the UC process, a very long-lived intermediate state is present as opposed to the 2PA one, where a short-lived intermediate state is present. This results in a higher absorption cross-section in UC, making it possible to observe this process with inexpensive and low power continuous-wave lasers [172]. In the UC process through ESA, a sensitizer ion absorbs low-energy photons, followed by energy transfer to the activator ion, which then emits in a characteristic wavelength. Yb III /Er III [173][174][175][176], Yb III /Tm III [113,114], and Nd III /Yb III /Er III [177,178] are some of the most common sensitizer/activator systems. The challenge in developing molecular UC systems is to overcome the high non-radiative rates caused by vibrational coupling with O-H and C-H vibrations, inefficient 4f -4f excitation of the sensitizer ion, and long distances activator-sensitizer in Ln III complexes that lower the energy transfer rates [43]. The first attempt to achieve molecular UC reports back from 2005 when Faris and co-workers observed UC sensitized emission in the UV from [Nd(edta)2] and the blue and green from [Er(dpa)3] 3− , and [Tm(dpa)3] 3− . Although successful, a combination of two laser sources and high-power laser intensities (100 kW focused on a 100 m spot) was needed to observe the UC emission [179]. Although the intensity used was high for practical applications that encouraged researchers to design luminescent Ln III complexes with improved UC properties. MOFs have a very defined solid structure with the possibility to have two or more metallic centers close to each other. Because the energy transfer process is dependent on the distance donor-acceptor, in this case, sensitizer-activator, this proximity is beneficial for improving the UC sensitization process (ETU). Jin′s research group reported a series of Ln III MOFs with benzodicarboxylato (BDC) [180], pza [181], 4,4′-oxybis(benzoato) [182], in all the cases Y III was used as the matrix that was doped with Yb III and Er III to achieve UC sensitized emission. One of the limitations of the MOFs cited above is the coordination of, at least, one solvent molecule to the Ln III , which increases the non-radiative rates and decreases the UC efficiency. Other Ln III MOFs showing UC sensitized emission are reported [183][184][185], and the same problem mentioned above was found, the solvent coordinated to the Ln III decreases the UC efficiency. Research in the development of UC sensitized emission in molecular Ln III complexes using reasonable laser intensities is a field in development. Piguet and co-workers reported the first molecular system to achieve UC sensitized emission using a very elegant trinuclear Cr III Er III Cr III coordinated by a helicate ligand (LH 1 ), in frozen solution at 30 K, Figure 18a [186]. In this system, low-intensity UC sensitized emission is achieved by Cr III absorption at 750 nm ( 4 A2  2 T1), ETU Cr III  Er III followed by the characteristic 4f-4f Er III centered emission in the green ( 4 S3/2  4 I15/2), Figure 18b [186]. In a follow-up article, the ETU mechanism was further discussed in detail, and further experimental proof of the energy pathways was provided [187]. UC sensitized emission was also demonstrated in a binuclear Cr II Er III complex [188]. In order to avoid quenching by cross-relaxation, dilution of the [CrErCr(LH 1 )] 9+ complex in a matrix of [GaYGa(LH 1 )] 9+ (ratio 1:9) improved the UC emission intensity [189]. The first attempt to achieve molecular UC reports back from 2005 when Faris and co-workers observed UC sensitized emission in the UV from [Nd(edta) 2 ] and the blue and green from [Er(dpa) 3 ] 3− , and [Tm(dpa) 3 ] 3− . Although successful, a combination of two laser sources and high-power laser intensities (~100 kW focused on a 100 µm spot) was needed to observe the UC emission [179]. Although the intensity used was high for practical applications that encouraged researchers to design luminescent Ln III complexes with improved UC properties. MOFs have a very defined solid structure with the possibility to have two or more metallic centers close to each other. Because the energy transfer process is dependent on the distance donor-acceptor, in this case, sensitizer-activator, this proximity is beneficial for improving the UC sensitization process (ETU). Jin s research group reported a series of Ln III MOFs with benzodicarboxylato (BDC) [180], pza [181], 4,4 -oxybis(benzoato) [182], in all the cases Y III was used as the matrix that was doped with Yb III and Er III to achieve UC sensitized emission. One of the limitations of the MOFs cited above is the coordination of, at least, one solvent molecule to the Ln III , which increases the non-radiative rates and decreases the UC efficiency. Other Ln III MOFs showing UC sensitized emission are reported [183][184][185], and the same problem mentioned above was found, the solvent coordinated to the Ln III decreases the UC efficiency. Research in the development of UC sensitized emission in molecular Ln III complexes using reasonable laser intensities is a field in development. Piguet and co-workers reported the first molecular system to achieve UC sensitized emission using a very elegant trinuclear Cr III Er III Cr III coordinated by a helicate ligand (L H 1 ), in frozen solution at~30 K, Figure 18a [186]. In this system, low-intensity UC sensitized emission is achieved by Cr III absorption at 750 nm ( 4 A 2 → 2 T 1 ), ETU Cr III → Er III followed by the characteristic 4f -4f Er III centered emission in the green ( 4 S 3/2 → 4 I 15/2 ), Figure 18b [186]. In a follow-up article, the ETU mechanism was further discussed in detail, and further experimental proof of the energy pathways was provided [187]. UC sensitized emission was also demonstrated in a binuclear Cr II Er III complex [188].
In order to avoid quenching by cross-relaxation, dilution of the [CrErCr(L H 1 )] 9+ complex in a matrix of [GaYGa(L H 1 )] 9+ (ratio 1:9) improved the UC emission intensity [189]. In a quest to miniaturize the UC systems, Piguet and co-workers designed Er III complexes with ligands that are capable of shielding Er III from non-radiative processes due to coupling with high energy oscillators resulting in emission at room temperature in the solid-state [190]. UC sensitized emission in solution is challenging due to the efficient vibrational coupling with high energy oscillators (vide supra) and slow energy transfer rates between the Ln III caused by dilution of the complex, which is essential in the ETU process. UC sensitized emission in D2O, at room temperature, was first observed using the [Er(Luc)] + [191]. In order to decrease the distance Er III -Er III , Fions were added to balance the charge and force the formation of a dimer. The characteristic Er III UC emission in the green ( 2 H11/2  4 I15/2 and 4 S3/2  4 I15/2), and red ( 4 F9/2  4 I15/2) are observed, and the UC emission mechanism consists of GSA/ESA, where one Er III center absorbs two-photons, and ETU, where there is energy transfer between two Er III centers. Recently another example of UC sensitized emission in solution, at room temperature, was reported for a mononuclear Er III complex [192]. Recently, UC sensitized emission of Tb III was demonstrated by Charbonnière and co-workers in D2O solution using a system Yb III /Tb III [193,194]. In those systems, a Yb III mononuclear complex is first generated using the ligands bipyPO3 [193] or tacnPO3 [194], followed by the addition of Tb III forming a supramolecular structure Yb III Tb III Yb III . The formation of the supramolecular structure is possible due to the coordination of Tb III to the free P-Ogroups. The characteristic Tb III transitions ( 5 D4  7 FJ; J = 6 -0) are observed (Figure 19a) and the proposed mechanism consists of cooperative upconversion (CU) where two Yb III centers populate the 5 D4 excited level of Tb III (Figure 19b) [194]. In a quest to miniaturize the UC systems, Piguet and co-workers designed Er III complexes with ligands that are capable of shielding Er III from non-radiative processes due to coupling with high energy oscillators resulting in emission at room temperature in the solid-state [190]. UC sensitized emission in solution is challenging due to the efficient vibrational coupling with high energy oscillators (vide supra) and slow energy transfer rates between the Ln III caused by dilution of the complex, which is essential in the ETU process. UC sensitized emission in D 2 O, at room temperature, was first observed using the [Er(L uc )] + [191]. In order to decrease the distance Er III -Er III , F -− ions were added to balance the charge and force the formation of a dimer. The characteristic Er III UC emission in the green ( 2 H 11/2 → 4 I 15/2 and 4 S 3/2 → 4 I 15/2 ), and red ( 4 F 9/2 → 4 I 15/2 ) are observed, and the UC emission mechanism consists of GSA/ESA, where one Er III center absorbs two-photons, and ETU, where there is energy transfer between two Er III centers. Recently another example of UC sensitized emission in solution, at room temperature, was reported for a mononuclear Er III complex [192]. Recently, UC sensitized emission of Tb III was demonstrated by Charbonnière and co-workers in D 2 O solution using a system Yb III /Tb III [193,194]. In those systems, a Yb III mononuclear complex is first generated using the ligands bipyPO 3 [193] or tacnPO 3 [194], followed by the addition of Tb III forming a supramolecular structure Yb III Tb III Yb III . The formation of the supramolecular structure is possible due to the coordination of Tb III to the free P-O -− groups. The characteristic Tb III transitions ( 5 D 4 → 7 F J ; J = 6-0) are observed (Figure 19a) and the proposed mechanism consists of cooperative upconversion (CU) where two Yb III centers populate the 5 D 4 excited level of Tb III (Figure 19b) [194]. nm, p = 1.08 W. Reprinted with permission from [194], copyright (2019) American Chemical Society.
(b) Energy level diagram showing the UC energy transfer mechanism for the [(Yb(tacnPO3))2Tb] complex. GSA is ground state absorption, ETU is energy transfer upconversion, and UC is upconversion emission. Reproduced from [43] with permission from Elsevier.
The low molar extinction coefficient of the 4f-4f transitions and the non-radiative rates due to the presence of C-H bonds in the structure of the ligands are factors that limit the UC process and decrease the UC emission intensity, respectively. The antenna effect (vide supra) is well known and uses chromophores with a high molar extinction coefficient to improve the Ln III emission intensity. This approach was used to boost the UC emission intensity of the NaYF4: 20%Yb III , 2%Er III @NaYF4: 20%Nd III NP by decorating the surface with the chromophore F-SG [2]. The only example of this strategy for improving the UC emission intensity of molecular systems was reported by Hyppänen and co-workers [195]. The system proposed was straightforward, the anionic [Er(tta)4] -complex and the IR-806 dye as the counter ion. Although a faint emission in the green was observed, upon excitation at 808 nm, the UC emission is mixed up into broad bands that might be residual ligand emission from the IR-806 dye or even from the tta ligands. Although the detailed UC mechanism was not proved experimentally, the authors proposed that the IR-806 absorbs the excitation, and transfers it to the Er III excited levels. The field of molecular Ln III UC systems is still in the initial development phase, and the possibility to use low power lasers in the biological window to obtain emission in the visible is exciting.
Ascorbic acid (or vitamin C) is essential for healthy cell development, calcium absorption, and synthesis of collagen [219][220][221]. TEMPO-functionalized ligands were used to synthesize the complex [Eu(tob)] − , and sensing vitamin C in solution, in Hepg2 cells, and in Daphnia magna using time-gated luminescence ( Figure 20) [208]. The presence of the TEMPO moiety quenches the Eu III luminescence  [194], copyright (2019) American Chemical Society. (b) Energy level diagram showing the UC energy transfer mechanism for the [(Yb(tacnPO 3 )) 2 Tb] complex. GSA is ground state absorption, ETU is energy transfer upconversion, and UC is upconversion emission. Reproduced from [43] with permission from Elsevier.
The low molar extinction coefficient of the 4f -4f transitions and the non-radiative rates due to the presence of C-H bonds in the structure of the ligands are factors that limit the UC process and decrease the UC emission intensity, respectively. The antenna effect (vide supra) is well known and uses chromophores with a high molar extinction coefficient to improve the Ln III emission intensity. This approach was used to boost the UC emission intensity of the NaYF 4 : 20%Yb III , 2%Er III @NaYF 4 : 20%Nd III NP by decorating the surface with the chromophore F-SG [2]. The only example of this strategy for improving the UC emission intensity of molecular systems was reported by Hyppänen and co-workers [195]. The system proposed was straightforward, the anionic [Er(tta) 4 ] -− complex and the IR-806 dye as the counter ion. Although a faint emission in the green was observed, upon excitation at 808 nm, the UC emission is mixed up into broad bands that might be residual ligand emission from the IR-806 dye or even from the tta ligands. Although the detailed UC mechanism was not proved experimentally, the authors proposed that the IR-806 absorbs the excitation, and transfers it to the Er III excited levels. The field of molecular Ln III UC systems is still in the initial development phase, and the possibility to use low power lasers in the biological window to obtain emission in the visible is exciting.
Ascorbic acid (or vitamin C) is essential for healthy cell development, calcium absorption, and synthesis of collagen [219][220][221]. TEMPO-functionalized ligands were used to synthesize the complex [Eu(tob)] − , and sensing vitamin C in solution, in Hepg2 cells, and in Daphnia magna using time-gated luminescence ( Figure 20) [208]. The presence of the TEMPO moiety quenches the Eu III luminescence through the PET mechanism. In the presence of vitamin C, the TEMPO radical is quenched, resulting in the quench of the PET that reflects in the Eu III emission intensity increase [208]. through the PET mechanism. In the presence of vitamin C, the TEMPO radical is quenched, resulting in the quench of the PET that reflects in the Eu III emission intensity increase [208]. Reactive oxygen species (ROS), are oxygenated compounds having unpaired electrons. ROS are generated during cellular processes, or by the interaction of the ligand excited state and the molecular oxygen [222][223][224][225]. For example, hypochlorous acid (HClO), a ROS produced by living cells, plays an essential role in immune systems. Accumulation of HClO triggers cell death and is associated with cardiovascular diseases, neurodegenerative disorders, and certain cancers [226][227][228][229][230][231]. Sensing of intracellular HClO using Eu III complexes is achieved using ligands that are capable of reacting with HClO, and as a response, there is an increase or decrease in the emission intensity due to the changes in the energy transfer rates [139,215]. The sensing of HOCl inside RAW264.7 cells and Daphnia magna microorganisms using luminescence imaging was possible using the [Eu(npptta)] -complex that has a terpyridine-based ligand modified with a dinitrophenyl moiety [215]. In this system, there is quenching by PET due to the nitrophenyl moiety; in the presence of HOCl, the C=N bond is broken, resulting in an increase in the emission intensity due to the absence of PET. Singlet oxygen ( 1 O2), another ROS, is produced by the interaction of triplet levels of the ligand with molecular oxygen, and is used in photodynamic therapy (PDT) [232][233][234][235]. The [Eu(pfdap)(tpy)] complex containing diketonate ligands functionalized with anthracene moieties was shown to be capable of sensing 1 O2 inside Hepg2 cells using luminescence imaging ( Figure 21) [212]. The Eu III emission intensity increases as a function of the 1 O2 concentration in the range between 5.0 -1800 M, and is specific to 1 O2. The formation of the endoperoxide changes the energy transfer rate ligand  Eu III making it possible to sense 1 O2. Although not fully explained in the original research, it is possible that the Reactive oxygen species (ROS), are oxygenated compounds having unpaired electrons. ROS are generated during cellular processes, or by the interaction of the ligand excited state and the molecular oxygen [222][223][224][225]. For example, hypochlorous acid (HClO), a ROS produced by living cells, plays an essential role in immune systems. Accumulation of HClO triggers cell death and is associated with cardiovascular diseases, neurodegenerative disorders, and certain cancers [226][227][228][229][230][231]. Sensing of intracellular HClO using Eu III complexes is achieved using ligands that are capable of reacting with HClO, and as a response, there is an increase or decrease in the emission intensity due to the changes in the energy transfer rates [139,215]. The sensing of HOCl inside RAW264.7 cells and Daphnia magna microorganisms using luminescence imaging was possible using the [Eu(npptta)] -− complex that has a terpyridine-based ligand modified with a dinitrophenyl moiety [215]. In this system, there is quenching by PET due to the nitrophenyl moiety; in the presence of HOCl, the C=N bond is broken, resulting in an increase in the emission intensity due to the absence of PET. Singlet oxygen ( 1 O 2 ), another ROS, is produced by the interaction of triplet levels of the ligand with molecular oxygen, and is used in photodynamic therapy (PDT) [232][233][234][235]. The [Eu(pfdap)(tpy)] complex containing β-diketonate ligands functionalized with anthracene moieties was shown to be capable of sensing 1 O 2 inside Hepg2 cells using luminescence imaging ( Figure 21) [212]. The Eu III emission intensity increases as a function of the 1 O 2 concentration in the range between 5.0-1800 µM, and is specific to 1 O 2 . The formation of the endoperoxide changes the energy transfer rate ligand → Eu III making it possible to sense 1 O 2 . Although not fully explained in the original research, it is possible that the triplet energy level of the pfdap ligand has similar or lower energy level than the excited Eu III 5 D 0 electronic level, reflecting in inefficient Eu III sensitization. In the presence of 1 O 2 , the formation of the endoperoxide decreases the electronic conjugation of the ligand. That reflects in an increase of the pfdap ligand triplet energy and, thus, a better sensitization of the Eu III emission. In a follow-up study, the same research group used the [Eu(pfdap) 3 (dpbt)] complex that has excitation band red-shifted to 450 nm, a region that is more suitable for luminescence imaging [214]. The [Eu(pfdap) 3 (dpbt)] complex is capable of sensing 1 O 2 in MCF-7 cells, and in small microorganisms such as Daphnia magna.
Molecules 2019, 24, x 20 of 33 triplet energy level of the pfdap ligand has similar or lower energy level than the excited Eu III 5 D0 electronic level, reflecting in inefficient Eu III sensitization. In the presence of 1 O2, the formation of the endoperoxide decreases the electronic conjugation of the ligand. That reflects in an increase of the pfdap ligand triplet energy and, thus, a better sensitization of the Eu III emission. In a follow-up study, the same research group used the [Eu(pfdap)3(dpbt)] complex that has excitation band red-shifted to 450 nm, a region that is more suitable for luminescence imaging [214]. The [Eu(pfdap)3(dpbt)] complex is capable of sensing 1 O2 in MCF-7 cells, and in small microorganisms such as Daphnia magna. Cu II plays a central role in enzyme-catalyzed and redox reactions. High cellular levels of Cu II are related to lethargy, increased blood pressure, liver damage, and neurodegenerative diseases [236,237]. Coordination of Cu II using the dipicoylamine moiety in the ligand structure of the [Eu(bhhct-bped)] complex results in quenching of the Eu III emission intensity, and allows sensing of Cu II in Hepg2 cells [210]. This probe can be restored by "washing out" Cu II using sulfide ions (S 2-). An improvement of this probe was reported using a heterobimetallic Eu III /Tb III complex containing a terpyridine-derivatized ligand (datp) that uses the intensity ratio between the 5 D0  7 F2 (Eu III ) and 5 D4  7 F5 (Tb III ) transitions for sensing [211]. Thus, the response of the probe does not change as a function of the instrumental response, setup, or concentration of the complex. Zn II is involved in several extra-and intracellular processes; thus, its detection is relevant to unravel cellular processes [238][239][240]. Grafting chromophores and the [Nd(dota)] complex on zinc fingers yielded systems that are capable of sensing Zn II [36]. In this exquisite system chromophore-zinc finger-[Nd(dota)], the distance chromophore  Nd III changes as a result of the structural changes in the zinc finger structure caused by the presence of Zn II .
Adenosine triphosphate (ATP) serves as the chemical energy source for biological processes, including muscle contraction and maintenance of neuronal membrane potential [241]. The release of Cu II plays a central role in enzyme-catalyzed and redox reactions. High cellular levels of Cu II are related to lethargy, increased blood pressure, liver damage, and neurodegenerative diseases [236,237]. Coordination of Cu II using the dipicoylamine moiety in the ligand structure of the [Eu(bhhct-bped)] complex results in quenching of the Eu III emission intensity, and allows sensing of Cu II in Hepg2 cells [210]. This probe can be restored by "washing out" Cu II using sulfide ions (S 2− ). An improvement of this probe was reported using a heterobimetallic Eu III /Tb III complex containing a terpyridine-derivatized ligand (datp) that uses the intensity ratio between the 5 D 0 → 7 F 2 (Eu III ) and 5 D 4 → 7 F 5 (Tb III ) transitions for sensing [211]. Thus, the response of the probe does not change as a function of the instrumental response, setup, or concentration of the complex. Zn II is involved in several extra-and intracellular processes; thus, its detection is relevant to unravel cellular processes [238][239][240]. Grafting chromophores and the [Nd(dota)] complex on zinc fingers yielded systems that are capable of sensing Zn II [36]. In this exquisite system chromophore-zinc finger-[Nd(dota)], the distance chromophore → Nd III changes as a result of the structural changes in the zinc finger structure caused by the presence of Zn II .
Adenosine triphosphate (ATP) serves as the chemical energy source for biological processes, including muscle contraction and maintenance of neuronal membrane potential [241]. The release of ATP to the extracellular space has been identified in both damaged and apoptotic cells [242,243]. Due to the strong interaction between the ATP phosphate groups and the Eu III , it is possible to sense in real-time changes in the intracellular concentration of ATP using the [Eu(dota 3 )(H 2 O)] + complex inside NIH-3T3 [218]. The ATP molecules replace the coordinated solvent molecules reflecting in an increase of the Eu III emission intensity that is a function of the ATP concentration.

Closing Remarks and Perspectives
The recent literature on Ln III luminescent complexes shows a wide variety of possible applications in the fields of luminescence imaging and sensing of chemical species to aid in the understanding of biological processes or the diagnosis of diseases. The possibility to tailor the ligands' structure to tune their chemical, spectroscopic properties, and develop multi-modal systems makes Ln III luminescent complexes particularly attractive. Due to its high emission intensities, high emission quantum yields, and long luminescence lifetimes, Eu III is the most used lanthanide in the synthesis of complexes for luminescence imaging, however, there is a high demand for the development of luminescent complexes that can be used in NIR-to-NIR imaging due to the high penetrability and low scattering of this light. Overcoming the high non-radiative rates, characteristic of NIR emitters, is still the big challenge for developing this field.
The field of molecular upconversion (UC) is expected to have fast development in the coming years. UC excitation is a cumulative effect of multiple first-order absorption phenomena where there is excited-state absorption (ESA) and energy transfer upconversion (ETU). In the UC process, a very long-lived intermediate state is present as opposed to the 2PA one, where a short-lived intermediate state is present. This results in a higher absorption cross-section in UC, making it possible to observe this process with inexpensive and low power continuous-wave lasers. The pair Yb III /Er III is the most used system in UC due to the energy match that allows efficient ETU, the possibility of using NIR excitation, and emission in the blue, green, and red regions of the electromagnetic spectrum. To the date, only a few examples of molecular UC Ln III complexes [189][190][191][192][193][194][195]244].
Funding: Humboldt State University is gratefully acknowledged for financial support (start-up grant K1037).

Conflicts of Interest:
The author declares no conflict of interest.