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Boltzmann- and Non-Boltzmann-Based Thermometers in the First, Second and Third Biological Windows for the SrF2:Yb3+, Ho3+ Nanocrystals Under 980, 940 and 915 nm Excitations


Spectrally determination of temperature based on the lanthanide-doped nanocrystals (NCs) is a vital strategy to noninvasively measure the temperature in practical applications. Here, we synthesized a series of SrF2:Yb3+/Ho3+ NCs and simultaneously observed the efficient visible upconversion luminescence (UCL) and near-infrared (NIR) downconversion luminescence (DCL) under 980, 940 and 915 nm excitations. Subsequently, these NCs were further utilized for thermometers based on the Boltzmann (thermally coupled levels, TCLs) and non-Boltzmann (non-thermally coupled levels, NTCLs) of Ho3+ ions in the first (~ 650 nm), second (~ 1012 nm) and third (~ 2020 nm) biological windows (BW-I, BW-II and BW-III) under tri-wavelength excitations. The thermometric parameters including the relative sensitivity (\(S_{{\text{r}}}\)) and temperature uncertainty (\(\delta T\)) are quantitatively determined on the I648/I541 (BW-I), I1186/I1012 (BW-II), and I1950/I2020 (BW-III) transitions of Ho3+ ions in the temperature range of 303–573 K. Comparative experimental results demonstrated that the thermometer has superior performances.


As a basic physical variable, the temperature is closely related to human life and practical activities. Traditional thermometers possess a relatively large size and need to be physically contacted with the measured object, which severely limits the accuracy of temperature detection and restricts the use of many fields such as biological issues, microelectronic circuits, and nanoscale applications [1]. Therefore, accurate, fast and noninvasive measurement of the temperature is of great significance to practical applications. Lanthanide-doped NCs based on FIR (fluorescence intensity ratio ) or LIR (luminescence intensity ratio) technology could be used as luminescent thermometers which have been extensively developed recently [2,3,4,5]. The reason is that lanthanide ions have abundant energy levels and their emissions are heavily dependent on the temperature. These lanthanide-doped luminescent thermometers show the advantages such as fast response, high spatial resolution, high sensitivity, wide adaptability, small error caused by power fluctuation of excitation light source and fluorescence loss [6,7,8,9,10].

Generally, the most present research works have focused on the TCLs of lanthanide ions which the \(\Delta E\) is limited to 200–2000 cm−1 because this can ensure that the two levels are spectrally separated and not too far apart leading to the variation in thermalization is insignificantly observed [11, 12]. Nevertheless, this additional requirement greatly restrains the utility of numerous NTCLs in lanthanide ions. Thus, the thermometers based on the NTCLs, which are no longer restricted to limitation of \(\Delta E\) and can expand the detection wavelengths in a relatively wide range, can achieve relatively high \(S_{{\text{r}}}\) and low \(\delta T\) and further expand their applications [13,14,15]. Generally, the quantitative NTCLs model is established by using the Arrhenius equation which can break the restriction of the \(\Delta E\) between the NTCLs and well predict the FIR and the accuracy of temperature measurement. As is well known, compared to the strong scattering and absorption effects of visible light in biological tissues, the so-called first (BW-I: 650–950 nm), second (BW-II: 950–1700 nm) and third (BW-III: 1700–2500 nm) optically transparent BWs in the range of 650–2500 nm possess strong tissue penetration and have less scattering, low absorption and weak spontaneous luminescence. Hence, the design of a thermometer, which can simultaneously measure the temperature in the BW-I, BW-II and BW-III, has practical significance and needs in biological applications.

Up till now, many lanthanide ions have been used for temperature measurement, including Yb3+ and Ho3+ ions [16,17,18,19]. On the one hand, Yb3+ ions have a large absorption cross section, no excited-state absorption, and a wide absorption spectrum (800–1100 nm) and emission spectrum (975–1200 nm) [20, 21]. On the other hand, Ho3+ ions have abundant stepped energy levels and can effectively emit luminescence in a wide range from visible to NIR bands when co-doped with Yb3+ ions. Generally, the previously reported Ho3+-based thermometers almost utilize the two TCLs of 5F4 and 5S2 centered at approximately 540 nm in the visible light based on the Boltzmann theory [22]. In addition, the traditional excitation laser wavelength is 980 nm which could lead to severe heat absorption by the water molecules, thus extremely restraining its application in biological issues. Actually, the Yb3+ ions have appreciable absorption capability in other excitation wavelengths (such as 915 nm) where the water absorption coefficient is relatively low. Therefore, exploring the thermometers under different wavelength excitations, especially covering the three biological windows, has very important value in biological applications. However, there still lacks the corresponding research on this aspect [23,24,25].

In this work, we synthesized a sequence of SrF2:Yb3+/Ho3+ (12/x mol%) NCs doped with different Ho3+ concentrations by hydrothermal method. We further investigated the doping Ho3+ concentrations dependent on both the UCL and DCL properties, as well as their mechanism of populations and transitions. Subsequently, the SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs with the stronger luminescence were selected to study the thermal effect under 980, 940 and 915 nm continuous-wave (CW) lasers with the same pumping power density of 110 W cm−2. In addition, we innovatively investigated the temperature-dependent luminescence based on TCLs and NTCLs simultaneously under tri-wavelength excitations. The quantitative model we used successfully calculated the FIRs and determined the parameters of the thermometer in the first, second and third biological windows.

Experimental Sections

Synthesis of SrF2:Yb3+/Ho3+ NCs

The chemicals of SrCl2·6H2O (99.99%), YbCl3·6H2O (99.9%), HoCl3·6H2O (99.9%), Na3C6H5O7 (98%) and NH4F (98%) were purchased from Aladdin (China). The synthesis procedure of NCs by a hydrothermal method is similar to our previous literature [26]. Take SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs as an example. Firstly, 1.758 mmol SrCl2, 0.24 mmol YbCl3 and 0.002 mmol HoCl3 were dissolved in 10 mL deionized water and stirred for 1 h. Secondly, 10 mL Na3C6H5O7 (1 M) and 20 mL NH4F (1 M) aqueous solutions were added to the above mixed solutions and sequentially stirred for another 1 h. Lastly, the mixtures were transferred into a 50 mL Teflon-lined autoclave and heated at 200 °C for 8 h. When the autoclave was naturally cooled down to room temperature, the as-prepared SrF2 NCs were collected by centrifugation at 6000 rpm for 4 min and washed with ethanol and deionized water several times. The final products were dried in an oven at 60 °C for 12 h, and finally, the white powders were obtained for further use.


The morphology and size of the as-prepared SrF2 NCs were characterized by transmission electron microscopy (TEM). X-ray diffraction (XRD) patterns were measured using a powder diffractometer (Bruker D8 advance). The DCL and UCL spectra of SrF2:Yb3+/Ho3+ NCs were measured by a fluorescence spectrophotometer (Zolix Omni-l3072i) coupled with an R928 photomultiplier tube (PMT) for visible light detection and an InGaAs avalanche photodetector (ZPS-PN15) for NIR emissions collection. The excitation sources are semiconductor lasers with different wavelengths of 980, 940, and 915 nm. The UV–Vis-NIR spectra of SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs were recorded in diffuse reflectance mode in the range of 400–2200 nm by using PerkinElmer Lamda-750 UV–Vis-NIR spectrometer unit. For temperature-dependent luminescence measurement, a temperature controller (RT 600, Shanghai Hotz Instrument Technology Co., Ltd) was used to change and control the temperature. At room temperature, the spectra in the wavelength range of 400–2200 nm were collected using the constructed experiment system. Then, the sample was heated by the temperature controller, and the spectra were detected with a step of 25 K in the range of 303–573 K. Especially, we set the heating rate of the temperature controller to 12.5 K min−1 and kept the constant temperature for 12 min to ensure that the temperature of sample always reached the scheduled temperature during the spectrum acquisition process.

Results and Discussion

Structure Characterization

Figure 1a–e shows the TEM images of SrF2:Yb3+/Ho3+(12/x mol%) doped with different Ho3+ concentrations. The morphology of these NCs exhibits an ellipse or rectangle shape. Figure 1f demonstrates the average size of these synthesized NCs is about 50 nm. As shown in Fig. 1g, XRD patterns further prove that the diffraction peaks of the samples match the standard card of the SrF2 phase (JCPDS No. 06-0262) well. Both the TEM and XRD characterizations reveal that the doping of small amounts of Yb3+ and Ho3+ ions has almost no effect on the lattice structure and morphology of the SrF2 NCs.

Fig. 1
figure 1

TEM images of SrF2:Yb3+/Ho3+(12/x mol%) NCs, a x = 0.1, b x = 0.2, c x = 0.6, d x = 1.2, e x = 2.0. f The particle size distribution of SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs. g XRD patterns of SrF2:Yb3+/Ho3+ (12/x mol%) NCs doped with different Ho3+ concentrations

DCL and UCL Properties

In our preliminary experiment as shown in Additional file 1: Fig. S1, when the doping concentration of Ho3+ was fixed at 0.1 mol%, the intensity of UCL firstly increased and then decreased with the increase in Yb3+ concentration. The luminescence intensity reached its maximum when the concentration of Yb3+ was 12 mol%. Therefore, the Yb3+ concentration was fixed at 12 mol% and further investigated the dependence of the luminescence intensity on Ho3+ doping concentration of SrF2:Yb3+/Ho3+ (12/x mol%) NCs. Figure 2 shows the visible UCL and NIR DCL spectra of SrF2:Yb3+/Ho3+ (12/x mol%) NCs doped with different Ho3+ concentrations under the excitation of 980 nm laser. There are eight typical emission bands centered at 485, 541, 648, 750, 1012, 1186, 1950, and 2020 nm, which are ascribed to the transitions of 5F3 → 5I8, 5F4(5S2) → 5I8, 5F5 → 5I8, 5F4 → 5I7, 5S2 → 5I6, 5I6 → 5I8, 5F3 → 5F5 and 5I7 → 5I8 from Ho3+ ions, respectively. Obviously, the visible UCL and NIR DCL of SrF2:Yb3+/Ho3+ (12/x mol%) NCs exhibit different varying trends when doped with different Ho3+ concentration. The visible UCL increases with the increase in Ho3+ concentrations within a low concentration range and reaches the maximum at 0.4 mol% Ho3+ and then decreases sharply with the increase in Ho3+ ions again. Analysis of this phenomenon proves that concentration quenching plays an important role [27]. The increase in Ho3+ concentration promotes an increase in rare-earth-ion pair formation in the SrF2 lattice which correspondingly reduces the distance between Ho3+ ions compared the Yb3+–Ho3+ ions, thus facilitating the occurrence of cross-relaxation (CR) between the adjacent Ho3+ ions [28, 29]. For the NIR DCL part, the 1012 and 2020 nm emission intensities gradually decrease with the increase in Ho3+ concentration, whereas the 1186 and 1950 nm emission intensities are opposite. We speculate that this is mainly due to the CR process of Ho3+ ions (CR1 and CR2 in Fig. 3). The CR1 process of 5I7 + 5F5 → 5I8 + 5F3 can promote the population of 5F3 state and inhibit the population of 5I7 state, which will enhance the 1950 nm emission and decrease the 2020 nm emission, respectively. Similarly, the CR2 process of 5I7 + 5S2 → 5I6 + 5F5 enhances the population of 5I6 state and simultaneously reduces the population of 5S2 state, thus strengthening the 1186 nm emission and weakening the 1012 nm emission. Notably, the complex excited-state absorption (ESA) and energy transfer (ET) processes can also contribute to the above observed phenomenon.

Fig. 2
figure 2

The visible UCL and NIR DCL spectra of SrF2:Yb3+/Ho3+ (12/x mol%) NCs doped with different Ho3+ concentrations under the excitation of 980 nm CW laser

Fig. 3
figure 3

The energy level diagram for SrF2:Yb3+/Ho3+ NCs excited at 980 nm. The corresponding processes of ET, ESA, CR and NRT are also provided

Figure 3 illustrates the energy level diagram for Yb3+ and Ho3+ ions under 980 nm excitation, which also contains the ET, ESA, CR and non-radiative transition (NRT). Generally, Yb3+ ions can be populated through the 2F7/2 → 2F5/2 transition by directly absorbing 980 nm photon and then transferring the energy to adjacent Ho3+ ions through successive ET processes to populate the 5I6, 5F5 and 5F4 states of Ho3+ [30, 31]. Moreover, the 5F3 state is populated by the CR (5I7 + 5F5 → 5I8 + 5F3) process, followed generating the 485 nm (5F3 → 5I8) and 1950 nm (5F3 → 5F5) emissions. Subsequently, the electrons in the 5F4 state will transition to the 5I8 and 5I7 states, thereby emitting the 541 nm green light and 750 nm red emission, respectively [32, 33]. Simultaneously, partial electrons in the 5F4 state will populate to the 5S2 state by the NRT process, subsequently transitioning to the 5I6 generating NIR emission at 1012 nm. Similarly, the electrons in the 5F5 state will transition to the 5I8 state, thereby emitting the 648 nm emission. Additionally, the transitions from the 5I6 and 5I7 states to 5I8 state produce the 1186 nm and 2020 nm NIR emissions, respectively.

Notably, except excited by the 980 nm, the Yb3+ ions can also be excited at 940 and 915 nm lasers and then transfer energy to Ho3+ ions by ET process [34, 35]. To further explore the influence of different excitation sources on the emission spectra for the SrF2:Yb3+/Ho3+ NCs, we further investigate the photoluminescence properties of SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs under the 980, 940 and 915 nm excitations with the same pumping power density (11 W cm−2), as shown in Fig. 4. The results show that emission efficiency under 980 nm excitation is the highest compared with the 915 and 940 nm excitations, indicating that the largest absorption cross section at 980 nm and lowest absorption cross section at 940 and 915 nm. Under the same pumping power density, the intensity of visible emissions under 980 nm excitation is almost 40 times than that under 940 nm excitation and 80 times than 915 nm excitation, while the NIR light is almost 4.5 times than that under 940 nm excitation and nine times than that 915 nm excitation. The quantum yields of SrF2: Yb3+/Ho3+ (12/0.1 mol%) NCs were measured under 980 nm excitation which is ~ 0.51%. Unfortunately, we cannot measure the quantum yield of the SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs under 940 and 915 nm excitations, which is due to the relatively small absorption cross section and much weak luminescence intensity at these two wavelength excitations than that under 980 nm excitation [36,37,38]. In addition, the size of synthesized SrF2:Yb3+/Ho3+ NCs is about 50 nm, resulting in a large specific surface area which places the dopant lanthanide ions closer to the surface. This leads to an increase in non-radiative relaxations of the emitting and intermediate levels by solvent molecules.

Fig. 4
figure 4

The spectra of SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs under the 980, 940 and 915 nm excitations, respectively

Figure 5a displays the thermal images of SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs dispersed in ethanol solutions under the 980, 940 and 915 nm laser illustration with a step of 240 s. The excitation power density is 110 W cm−1. Over the 1440 s of the testing process, the temperature gradually rises while manifesting different magnitudes for different excitation wavelengths. Figure 5b further depicts the plot of temperature changes as a function of the heating times. During the heating time, the maximum temperature increases up to 38.5 °C and 41.8 °C under 915 and 980 nm excitations, respectively. In contrast, the temperature merely elevates from an initial 23.6 °C to the final 27.4 °C under 940 nm excitation. Obviously, the 940 nm laser-induced heating effect is unconspicuous compared to the 915 and 980 nm lasers. Therefore, the design of a higher sensitivity thermometer which can minimize thermal effects on organisms has more significant significance in the biological and medical fields.

Fig. 5
figure 5

a The thermal images and b the relationship between temperature and heating time of SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs under the 980, 940 and 915 nm excitations, respectively

Ratiometric Temperature Sensing

Having obtained the efficient visible UCL and NIR DCL simultaneously under the excitation of 980, 940 and 915 nm lasers, here, we continue to investigate the ratiometric temperature sensing performances. Figure 6 displays the temperature-dependent spectra of SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs under the excitation of 980, 940 nm and 915 nm in the range of 303–573 K. Both the visible and NIR emissions are decreasing with the increase in temperature. However, the visible UCL thermally quenches more obviously than the NIR DCL. Under the 980 nm excitation, the intensity of visible 541 nm UCL at room temperature (303 K) is about 95 times than that at the highest temperature of 573 K, while red UCL (648 nm) decreases about 16 times from the 303 to 573 K, as shown in Fig. 6a. On the contrary, the NIR DCL has slight changes when the temperature varies from room temperature to 573 K, which possesses a relative highly thermal stability compared with the visible UCL. Particularly, the NIR DCL remains almost unchanged under the 915 nm excitation.

Fig. 6
figure 6

Temperature-dependent spectra of SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs under the a 980 nm, b 940 nm and c 915 nm excitations, respectively

The temperature-dependent spectra ranging from the BW-I, BW-II and BW-III significantly demonstrate that they can be used for detecting the temperature in a wide range. Considering the actual energy levels of Ho3+ ions, especially both TCLs and NTCLs emissions, we choose different methods to analyze and calculate the performances of the Boltzmann-based and non-Boltzmann-based thermometers based on the TCLs or NTCLs. Traditional FIR technology measures the thermal dependence of FIR based on TCLs, which can be defined as follows:

$${\text{FIR}}_{B} = \frac{{N_{1} }}{{N_{2} }} = \frac{{I_{1} }}{{I_{2} }} = A\exp \left( { - \frac{\Delta E}{{KT}}} \right)$$

where N and I represent the populations of the corresponding energy levels and fluorescence intensity, respectively. A is the constant that depends on the experimental system, T is the absolute temperature and K is the Boltzmann constant.

Arrhenius equation is undoubtedly a good method to analyze the mechanism of temperature sensing behavior when using the NTCLs method, which can be expressed as follows [39]:

$$I(T) = I_{0} /\left( {1 + B{\text{e}}^{{( - E_{a} /KT)}} } \right)$$

where I0 is the UCL intensity of the measured NCs at room temperature (T0), I(T) is the UCL intensity at temperature T, B is the constant and Ea is the quenching activation energy. The definition of T and K is the same to Eq. (1).

Although there have been many related studies reported using Arrhenius equation to solve temperature dependence of luminescence intensity due to temperature quenching, in order to further verify the rationality of this equation in dealing with the relationship between Ho3+ fluorescence intensity and temperature, we randomly selected the emission intensity centered at 1012 and 2020 nm under 980 nm excitation and obtained the following results through normalization [37, 38]. Additional file 1: Fig. S3a and c shows the dependence of luminescence intensity on the temperature at 1012 nm and 2020 nm, and Additional file 1: Fig. S3b and d displays the fitted results by using Arrhenius equation, respectively. Both the fitting R2 values, well-fitted Eq. (2), are greater than 99%. The results indicate that the activation energy is deduced to be 0.27 for 1012 nm and 0.23 eV for 2020 nm, respectively.

Therefore, the FIR based on NTCLs can be modified as follows [40, 41]:

$$\begin{aligned}\hbox{FIR}_{N - B} &= \frac{{I_{1} (T)}}{{I_{2} (T)}} = \frac{{I_{0,1} }}{{I_{0,2} }}\frac{{1 + B_{2} \exp ( - E_{2} /\hbox{KT})}}{{1 + B_{1} \exp ( - E_{1} /\hbox{KT})}} \\ & \approx \alpha + \beta \exp \left( - \frac{{\Delta E_{a} }}{\hbox{KT}}\right)\end{aligned}$$

where I1(T) and I2(T) represent the UCL intensity of the two corresponding UCL emissions at temperature T, respectively. α and β are constants that are dependent on I0 and I(T). E1 and E2 are the corresponding quenching activation energy. \(\Delta E_{{\text{a}}}\) is a parameter associated with E1 and E2.

Figure 7 shows the FIR ratios of I648/I541, I1186/I1012 and I1950/I2020 as a function of the external temperature under tri-wavelength excitations. To ensure the accuracy of experimental data, we fitted the FIR ratios using the Gaussian fitting based on the integrated areas of each UCL peak. As a result, the values of FIR increase with the increase in temperature. Among them, the FIR of I648/I541 is fitted with Eq. (1), and the FIR of I1186/I1012 and I1950/I2020 is fitted with Eq. (3). All the fitting R2 values of curves are greater than 99.0%, indicating that the rationality of the FIR model is based on the TCLs and NTCLs.

Fig. 7
figure 7

The experimental data (dot) and fitting curves (line) of different FIRs versus temperature of SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs under the ac 980 nm, df 940 nm and gi 915 nm excitations, respectively

To better evaluate the capability of a thermometer, the \({\text{S}}_{\text{R}}\) is used to represent the relative sensitivity of the thermometer, which is defined as follows [42, 43]:

$$S_{R,B} = \frac{1}{{{\text{FIR}}}}\left| {\frac{{\partial {\text{FIR}}}}{\partial T}} \right| = \frac{\Delta E}{{{\text{KT}}^{2} }}$$
$$\begin{aligned}S_{R,N - B} &= \frac{1}{{{\text{FIR}}}}\left| {\frac{{\partial {\text{FIR}}}}{\partial T}} \right| \\ &= \frac{{\Delta E_{{\text{a}}} }}{{{\text{KT}}^{2} }}\frac{{\beta \exp ( - \Delta E_{a} /{\text{KT}})}}{{\alpha + \beta \exp ( - \Delta E_{a} /{\text{KT}})}}\end{aligned}$$

Equations (4) and (5) are the expressions \(S_{R}\) based on TCLs and NTCLs, respectively.

Figure 8 displays the relative sensitivity of different FIRs based on TCLs and NTCLs dependent on the temperature. In general, for all the UCL emission ratios, the \(S_{R}\) under 980 nm excitation is the highest, and the \(S_{R}\) under 940 nm excitation is the lowest. Particularly, the maximum \(S_{R}\) of I648/I541 based on TCLs reaches 0.94% K−1, 0.57% K−1 and 0.85% K−1 at the room temperature of 303 K under tri-wavelength excitations, and the value \(S_{R}\) decreases gradually with the increase in temperature which is consistent with that described in Eq. (4). It is interesting to note that the maximum \(S_{R}\) of I1186/I1012 and I1950/I2020 based on NTCLs under 980 nm excitation reaches 0.45% K−1 and 0.40% K−1 at the same temperature of 523 K. And the maximum \(S_{R}\) of I1186/I1012 attains 0.23% K−1 at 303 K, whereas the maximum \(S_{R}\) of I1950/I2020 reaches 0.17% K−1 at 398 K under 940 nm excitation. This is because the amplitude of fluorescence intensity varies with temperature under different excitation sources discrepantly, as shown in Fig. 6. In particular, the variation in NIR fluorescence intensity under excitation of 940 and 915 nm is significantly smaller than that under excitation of 980 nm, which leads to a higher relative sensitivity under 980 nm excitation.

Fig. 8
figure 8

The relative sensitivity \({\text{S}}_{\text{R}}\) versus temperature of SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs under the excitation of ac 980 nm, df 940 nm and gi 915 nm, respectively

For comparison, Table 1 summarizes the performances of our determined thermometers and compared them to the previously reported thermometers related to Ho3+ ions. The relatively higher performance can be achieved in the range of 303–573 K for FIRs of I648/I541, I1186/I1012 and I1950/I2020 in our experiment compared to the previous Ho3+-doped thermometers.

Table 1 The parameters of λex, λem, maximum \(S_{R}\), temperature range of the Ho3+-doped materials

In addition to \(S_{R}\), the temperature uncertainty of \(\delta T\) is a very significant parameter used to evaluate the performance of a thermometer, which is defined as [46]:

$$\delta T = \frac{1}{{S_{R} }}\frac{\delta \Delta }{\Delta } \times 100\%$$

where \(\Delta\) is the average of measured FIR values in the experiment and \(\delta \Delta\) is the uncertainty of the calculated FIR.

Based on Eq. (6), we have calculated the temperature uncertainty of \(\delta T\) for the I1950/I2020. We have obtained the \(\delta T<\) 1.25 K under 980 nm excitation while \(\delta T<\) 0.96 K under 915 nm excitation in the temperature range of 303–573 K. In addition, Fig. 9 shows the good repeatability of the temperature-dependent FIR for the NIR bands measured in several heating and colling circles. The results indicate that the thermometer based on NTCLs of Ho3+ has relatively high sensitivity and low temperature uncertainty.

Fig. 9
figure 9

The repeatability of FIR (I1186/I1012 and I1950/I2020) in SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs over an arbitrary heating and cooling circle under 980, 940 and 915 nm excitations


In conclusion, SrF2:Yb3+/Ho3+ (12/x mol%) NCs with an average size of ~ 50 nm were synthesized through the hydrothermal method and characterized by TEM and XRD. Both the efficient NIR DCL and visible UCL are observed under 980, 940 and 915 nm excitations. The doping Ho3+ concentrations dependent on the UCL and DCL, as well as their mechanism of population processes and emission transitions, are also discussed. Subsequently, the SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs exhibited the most intense NIR DCL and visible UCL. Then, these NCs were selected to achieve the Boltzmann- and non-Boltzmann-based thermometers under 980, 940 and 915 nm excitations. The obtained maximum \({\text{S}}_{\text{R}}\) of I648/I541 based on TCLs is 0.94% K−1 at 303 K, as well as the 0.45% K−1 for I1186/I1012 and 0.40% K−1 for I1950/I2020 at 523 K based on NTCLs under 980 nm excitation. The results reveal that these NCs can be applied in biological issues to measure the temperature under different laser wavelength excitations and wide emission bands centered in the first, second and third biological windows.

Availability of data and material

The datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request.





Upconversion luminescence


Downconversion luminescence




Thermally coupled levels


Non-thermally coupled levels


First biological windows


Second biological windows


Third biological windows




Transmission electron microscopy


X-ray diffraction


Photomultiplier tube




Excited-state absorption


Energy transfer


Non-radiative transition


  1. Van Swieten TP, Yu DC, Yu T, Vonk SJW, Suta M, Zhang QY, Meijerink A, Rabouw FT (2021) A Ho3+-based luminescent thermometer for sensitive sensing over a wide temperature range. Adv Opt Mater 9:2001518

    Article  CAS  Google Scholar 

  2. Li D, Mo J, Wang C, Liu W, Ge H, Han D, Hao A, Chai B, She J (2020) Screen printing of upconversion NaYF4:Yb3+/Eu3+ with Li+ doped for anti-counterfeiting application. Chin Opt Lett 18:110501

    Article  Google Scholar 

  3. Yu B, Zheng B, Xia H, Wang J, Song H, Chen B (2021) Tunable emission and temperature sensing performance in novel oxyfluoride borosilicate glass ceramics containing Eu3+/Tb3+:KY3F10 nanocrystals. Ceram Int 47:9668–9678

    CAS  Article  Google Scholar 

  4. Yang X, Wang L, Wang R, Yang Z, Song C, Yuan M, Han K, Lan S, Wang H, Xu X (2021) Achieving tunable multicolor display and sensitive temperature sensing in self-sensitization of erbium-doped CaF2 nanocrystals under 808, 980 and 1532 nm irradiation. Opt Mater Express 11:2514–2527

    Article  Google Scholar 

  5. Periša J, Đorđević V, Ristić Z, Medić M, Kuzman S, Antić Ž, Dramićanin MD (2022) Highly sensitive temperature reading from intensity ratio of Eu3+ and Mn4+ emissions in Y3Al5O12 nanocrystals. Mater Res Bull 149:111708

    Article  CAS  Google Scholar 

  6. Gao G, Busko D, Kauffmann-Weiss S, Turshatov A, Howard IA, Richards BS (2018) Wide-range non-contact fluorescence intensity ratio thermometer based on Yb3+/Nd3+ co-doped La2O3 microcrystals operating from 290 to 1230 K. J Mater Chem C 6:4163–4170

    CAS  Article  Google Scholar 

  7. Zhong J, Chen D, Peng Y, Lu Y, Chen X, Li X, Ji Z (2018) A review on nanostructured glass ceramics for promising application in optical thermometry. J Alloy Compd 763:34–48

    CAS  Article  Google Scholar 

  8. Dong H, Du S, Zheng X, Lyu GM, Sun L, Li L, Zhang P, Zhang C, Yan C (2015) Lanthanide nanoparticles: from design toward bioimaging and therapy. Chem Rev 115:10725–10815

    CAS  Article  Google Scholar 

  9. Mancic L, Djukic-Vukovic A, Dinic I, Nikolic MG, Rabasovic MD, Krmpot AJ, Costa AMLM, Trisic D, Lazarevic M, Mojovic L, Milosevic O (2018) NIR photo-driven upconversion in NaYF4:Yb, Er/PLGA particles for in vitro bioimaging of cancer cells. Mat Sci Eng C 91:597–605

    CAS  Article  Google Scholar 

  10. Kıbrıslı O, Erol E, Vahedigharehchopogh N, Yousef ES, Çelikbilek-Ersundu M, Ersundu AE (2020) Noninvasive optical temperature sensing behavior of Ho3+ and Ho3+/Er3+ doped tellurite glasses through up and down-converted Emissions. Sens Actuat A 315:112321

    Article  CAS  Google Scholar 

  11. Cheng Y, Gao Y, Lin H, Huang F, Wang Y (2018) Strategy design for ratiometric luminescence thermometry: circumventing the limitation of thermally coupled levels. J Mater Chem C 6:7462–7478

    CAS  Article  Google Scholar 

  12. Xu H, Yang Y, Lu L, Yang Y, Zhang Z, Zhao C, Zhang F, Fan Y (2022) Orthogonal multiplexed NIR-II imaging with excitation-selective lanthanide-based nanoparticles. Anal Chem 94:3661–3668

    CAS  Article  Google Scholar 

  13. Wang C, Jin Y, Zhang R, Yao Q, Hu Y (2022) A review and outlook of ratiometric optical thermometer based on thermally coupled levels and non-thermally coupled levels. J Alloy Compd 894:162494

    CAS  Article  Google Scholar 

  14. Liu S, Cui J, Jia J, Fu J, You W, Zeng Q, Yang Y, Ye X (2019) High sensitive Ln3+/Tm3+/Yb3+ (Ln3+ = Ho3+, Er3+) tri-doped Ba3Y4O9 upconverting optical thermometric materials based on diverse thermal response from non-thermally coupled energy levels. Ceram Int 45:1–10

    Article  CAS  Google Scholar 

  15. Ran WG, Noh HM, Park SH, Lee BR, Kim JH, Jeong JH, Shi JS (2019) Application of thermally coupled energy levels in Er3+ doped CdMoO4 phosphors: enhanced solid-state lighting and non-contact thermometry. Mater Res Bull 117:63–71

    CAS  Article  Google Scholar 

  16. Singh P, Yadav RS, Singh P, Rai SB (2021) Upconversion and downshifting emissions of Ho3+-Yb3+ co-doped ATiO3 perovskite phosphors with temperature sensing properties in Ho3+-Yb3+ co-doped BaTiO3 phosphor. J Alloy Compd 855:157452

    CAS  Article  Google Scholar 

  17. Marciniak L, Elzbieciak-Piecka K, Kniec K, Bednarkiewicz A (2020) Assessing thermometric performance of Sr2CeO4 and Sr2CeO4:Ln3+ (Ln3+ = Sm3+, Ho3+, Nd3+, Yb3+) nanocrystals in spectral and temporal domain. Chem Eng J 388:124347

    CAS  Article  Google Scholar 

  18. Pominova D, Proydakova V, Romanishkin I, Ryabova A, Kuznetsov S, Uvarov O, Fedorov P, Loschenov V (2020) Temperature sensing in the short-wave infrared spectral region using core-shell NaGdF4:Yb3+, Ho3+, Er3+@NaYF4 nanothermometers. Nanomaterials 10:1992

    CAS  Article  Google Scholar 

  19. Pushpendra KRK, Kalia R, Naidu BS (2020) Upconversion luminescence properties of NaBi(MoO4)2:Ln3+, Yb3+ (Ln = Er, Ho) nanomaterials synthesized at room temperature. Ceram Int 46:18614–18622

    CAS  Article  Google Scholar 

  20. Wu Q, Xu Z, Wageh S, Al-Ghamdi A, Zhao S (2021) The dynamic variation of upconversion luminescence dependent on shell Yb3+ contents in NaYF4: Yb3+, Tm3+@NaYF4: Yb3+, Er3+ nanoparticles. J Alloy Compd 891:162067

    Article  CAS  Google Scholar 

  21. Wei W, Zhang Y, Chen R, Goggi J, Ren N, Huang L, Bhakoo KK, Sun HD, Tan TTY (2014) Cross relaxation induced pure red upconversion in activator- and sensitizer-rich lanthanide nanoparticles. Chem Mater 26:5183–5186

    CAS  Article  Google Scholar 

  22. Li Z, Lin L, Feng Z, Huang L, Wang Z, Zheng Z (2021) Wide-range temperature sensing of NaYF4: Ho3+ nanoparticles by multi-emissions in dual spectral ranges. J Lumin 232:117873

    CAS  Article  Google Scholar 

  23. Fan Q, Zhang G, Peng B (2021) Tumor imaging of a novel Ho3+-based biocompatible NIR fluorescent fluoride nanoparticle. J Lumin 235:118007

    CAS  Article  Google Scholar 

  24. Leal JJ, Rodríguez E, Nava-Dino CG, Maldonado-Orozco MC, Gaxiola F, NarroGarcía R (2021) Effect of Ho3+ concentration on the luminescent and thermal stability of tellurite glasses. Mater Res Bull 144:111483

    CAS  Article  Google Scholar 

  25. Gao W, Wang B, Han Q, Gao L, Wang Z, Sun Z, Zhang B, Dong J (2020) Multicolor upconversion emission of Ho3+ in single NaYF4 microrod. J Alloy Compd 818:152934

    CAS  Article  Google Scholar 

  26. Wang L, Yang X, Yuan M, Yang Z, Han K, Wang H, Xu X (2022) Determination of near-infrared downconversion emission of Yb3+ and optical temperature sensing performances in Nd3+-sensitized SrF2 nanocrystals. Opt Mater 123:0925–3467

    Google Scholar 

  27. Yu X, Zhao T, Wang T, Bao W, Zhang H, Su C (2021) Up-conversion luminescence properties of Ho3+-Yb3+ co-doped transparent glass ceramics containing Y2Ti2O7. J Non-Cryst Solids 574:121163

    CAS  Article  Google Scholar 

  28. Karthickraja D, Kumar GA, Sardar DK, Karthi S, Dannangoda GC, Martirosyan KS, Prasath M, Gowri M, Girija EK (2021) Fabrication of Nd3+ and Yb3+ doped NIR emitting nano fluorescent probe: a candidate for bioimaging applications. Mater Sci Eng C 125:112095

    CAS  Article  Google Scholar 

  29. Cao C, Xue M, Zhu X, Yang P, Feng W, Li F (2017) Energy transfer highway in Nd3+-sensitized nanoparticles for efficient near-infrared bioimaging. ACS Appl Mater Interfaces 9:18540–18548

    CAS  Article  Google Scholar 

  30. Li W, Hu L, Chen W, Sun S, Guzik M, Boulon G (2021) The effect of temperature on green and red upconversion emissions of LiYF4:20Yb3+, 1Ho3+ and its application for temperature sensing. J Alloy Compd 866:158813

    CAS  Article  Google Scholar 

  31. Wan N, Fu Z, Wei Y, Sheng T (2019) Investigation for the upconversion luminescence and temperature sensing mechanism based on BiPO4: Yb3+, RE3+ (RE3+ = Ho3+, Er3+ and Tm3+). J Alloy Compd 772:371–380

    Article  CAS  Google Scholar 

  32. Mondal M, Rai VK (2018) Ho3+-Yb3+:YMoO4 core@shell nanoparticles for enhanced visible upconversion and security applications. J Alloy Compd 750:304–311

    CAS  Article  Google Scholar 

  33. Soni AK, Rai VK (2014) BaZnLa2O5:Ho3+-Yb3+ phosphor for display and security ink application. J Opt Soc Am B 31:2201–2207

    CAS  Article  Google Scholar 

  34. Sun Y, Yang Z, Xie C, Jiang Z (2012) Preparation and characteristics of core–shell structure Y3Al5O12:Yb3+@SiO2 nanoparticles. J Alloy Compd 528:1–9

    CAS  Article  Google Scholar 

  35. Zhan Q, Qian J, Liang H, Somesfalean G, Wang D, He S, Zhang Z, Andersson-Engels S (2011) Using 915 nm laser excited Tm3+/Er3+/Ho3+-doped NaYbF4 upconversion nanoparticles for in vitro and deeper in vivo bioimaging without overheating irradiation. ACS Nano 5:3744–3757

    CAS  Article  Google Scholar 

  36. Pilch A, Wawrzyńczyk D, Kurnatowska M, Czaban B, Samoć M, Strek W, Bednarkiewicz A (2017) The concentration dependent up-conversion luminescence of Ho3+ and Yb3+ co-doped β-NaYF4. J Lumin 182:114–122

    CAS  Article  Google Scholar 

  37. Su J, Zhang X, Li X (2019) Hydrothermal synthesis and green upconversion luminescence of Yb3+ and Ho3+ co-doped SrGd2 (WO4)2 (MoO4)2 nanocrystal. AIP Adv 9:125246

    Article  CAS  Google Scholar 

  38. Boyer JC, van Veggel FCJM (2010) Absolute quantum yield measurements of colloidal NaYF4: Er3+, Yb3+ upconverting nanoparticles. Nanoscale 2:1417–1419

    CAS  Article  Google Scholar 

  39. Rodríguez-Díaz JM, Santos-Martín MT (2009) Study of the best designs for modifications of the Arrhenius equation. Chemom Intell Lab Syst 95:199–208

    Article  CAS  Google Scholar 

  40. Li P, Jia M, Liu G, Zhang A, Sun Z, Fu Z (2019) Investigation on the fluorescence intensity ratio sensing thermometry based on nonthermally coupled levels. ACS Appl Bio Mater 2:1732–1739

    CAS  Article  Google Scholar 

  41. Lu Z, Li K, Wang J, Luo L (2021) Photochromic and temperature sensing properties of Ho3+-Yb3+ codoped Bi0.495-xNa0.5TiO3 ceramics. Opt Mater 111:110718

    CAS  Article  Google Scholar 

  42. Ćirić A, Stojadinović S, Dramićanin MD (2020) Luminescence temperature sensing using thin-films of undoped Gd2O3 and doped with Ho3+, Eu3+ and Er3+ prepared by plasma electrolytic oxidation. Ceram Int 46:23223–23231

    Article  CAS  Google Scholar 

  43. Kaczmarek AM, Suta M, Rijckaert H, Swieten TPV, Driessche IV, Kaczmarek MK, Meijerink A (2021) High temperature (nano) thermometers based on LiLuF4:Er3+, Yb3+ nano- and microcrystals confounded results for core–shell nanocrystals. J Mater Chem C 9:3589–3600

    CAS  Article  Google Scholar 

  44. Yun X, Zhou J, Zhu Y, Li X, Xu D (2021) Up-conversion luminescence and optical temperature sensing properties of Ho3+-doped double-tungstate LiYb(WO4)2 phosphors. J Mater Sci Mater Electron 32:17990–18001

    CAS  Article  Google Scholar 

  45. Wu X, Lin J, Chen P, Liu C, Lin M, Lin C, Luo L, Zheng X (2019) Ho3+-doped (K, Na)NbO3-based multifunctional transparent ceramics with superior optical temperature sensing performance. J Am Ceram Soc 102:1249–1258

    CAS  Article  Google Scholar 

  46. Savchuk OA, Carvajal JJ, Brites CDS, Carlos LD, Aguilo M, Diaz F (2018) Upconversion thermometry: a new tool to measure the thermal resistance of nanoparticles. Nanoscale 10:6602–6610

    CAS  Article  Google Scholar 

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Authors and Affiliations



LW and MY contributed to the design of this research. LW and MY carried out the experiments. LW, KH and LL contributed to the data analysis. LW and HW provided the optical spectrum test and measurement. LW and MY wrote the draft of the manuscript. HW and XX revised and finalized the manuscript. All authors have read and approved the final manuscript.

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Correspondence to Maohui Yuan or Hongyan Wang.

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Additional file 1: Fig. S1.

 Variation of upconversion emission intensity as a function of Yb3+ dopant concentration when fixed the concentration of Ho3+ (0.1 mol%). Fig. S2. The UV–vis–NIR absorption spectra of SrF2:Yb3+/Ho3+ (12/0.1 mol%) NCs. Fig. S3. The dependence of luminescence intensity at (a) 1012 nm and (c) 2020 nm of SrF2:Yb3+/Ho3+ NCs on the temperature under 980 nm excitation. Arrhenius equation is used to fit the luminescence intensity dependent on temperature at (b) 1012 nm and (d) 2020 nm.

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Wang, L., Li, L., Yuan, M. et al. Boltzmann- and Non-Boltzmann-Based Thermometers in the First, Second and Third Biological Windows for the SrF2:Yb3+, Ho3+ Nanocrystals Under 980, 940 and 915 nm Excitations. Nanoscale Res Lett 17, 80 (2022).

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  • NIR luminescence
  • Non-thermally coupled energy levels
  • Wide range temperature sensing
  • Tri-wavelength excitations