Nanoparticles have become new tools for cell biology imaging 1 , sub-cellular sensing 2 , super-resolution imaging 3, 4 and drug delivery 5 . Long-term 3D tracking of nanoparticles and their intracellular motions have advanced the understanding of endocytosis and exocytosis as well as of active transport processes 6, 7, 8 . The sophisticated operation of correlative optical-electron microscopy 9, 10 and scientific-grade cameras is often used to study intercellular processes. Nonetheless, most of these studies are still limited by the insufficient sensitivity for separating a single nanoparticle from a cluster of nanoparticles or their aggregates 8, 11, 12 . Here we report that our eyes can track a single fluorescent nanoparticle that emits over 4000 photons per 100 milliseconds under a simple microscope setup. By tracking a single nanoparticle with high temporal, spectral and spatial resolution, we show the measurement of the local viscosity of the intracellular environment. Moreover, beyond the colour domain and 3D position, we introduce excitation power density as the fifth dimension for our eyes to simultaneously discriminate multiple sets of single nanoparticles.

By introducing thousands of photon sensitizers (i.e., Yb3+ ions) and activators ions (i.e., Tm3+ and Er3+ ions) to form an energy transfer network within a single nanoparticle, upconversion nanoparticles (UCNPs) can up-convert low-energy near-infrared (NIR) photons into high-energy visible emissions13. UCNPs emit tunable multi-colour emissions under single-wavelength excitation for multiplexed sensing with low cytotoxicity and high chemical/photostabilities for biomedical applications14. Non-bleaching and non-blinking UCNPs are among the best probes for long-term tracking studies7, autofluorescence-free biomolecular sensing15, super-resolution microscopy imaging4, in vivo bio-imaging16 and light-triggered nanomedicine applications17. UCNPs are the most efficient materials for ultra-low power multiphoton microscopy and deep-tissue imaging18.

Here we show a series of monodispersed UCNPs with a brightness that already meets the requirement for our eyes to observe single nanoparticles through a microscope. Figure 1a shows an upconversion fluorescence system built for the purpose of observing single nanoparticles. We performed a definitive vision test (Supplementary Table S1 and Figure 1b), where we individually tested 14 volunteers (overall, 28 eyes) to determine the number of emitted photons from single nanoparticle required to be distinguished by a human eye. We identified that at least 4186 photons per 100 ms are required for all tested eyes to see two separate blue nanoparticles (Figure 1b, region R1). In region R2, 17 eyes failed to recognize the blue colour, but the two particles were still distinguishable. In region R3, 21 eyes barely distinguished the spatially separated two nanoparticles, while region R4 has been identified as an insufficient number of photons to differentiate the two nanoparticles.

Figure 1
figure 1

Schematic diagram and characterization results of a library of upconversion nanoparticles for testing human vision through a microscope. (a) Microscopy system that compares the sensitivity of a CCD camera and our eyes (switched by a flap mirror) in the observation of single UCNPs. The photons emitted from each single UCNP are collected by an optical fibre (1.01 Airy disk) and counted by a single photon avalanche detector (SPAD) for 100 ms, mimicking the duration time required for our brain to process images obtained from the same number of photons. (b) Excitation-power-dependent emission curve of 1 mol % Tm3+-doped UCNPs at the blue band (475±25 nm). We chose a region that contained two nearby UCNPs separated by 3 μm, which is equivalent to the 0.33 mm (Supplementary Equation S1) area of the central region of the human fovea (1.5 mm) where cone cells have their highest density (147000 cells per mm2). The sensitivity of our eyes is measured by the number of emission photons and categorized into four cognitive regions (R1: colour imaging; R2: mono-colour imaging; R3: inferior imaging; R4; blur imaging), which varied slightly among the 28 eyes of the 14 volunteers. (c) The size (transmission electron microscope images) and intensity (confocal scanning) at the blue band of a library of precisely controlled synthesized UCNPs, including peak sizes of 9.98, 22.25, 31.96, 39.78 and 50.21 nm and different Tm3+ doping concentrations of 1, 4 and 8 mol% for the ∼40 nm UCNPs. The standard deviation (s.d.) of the size varied from 6.23 to 17.4% from the average intensity (Iave). The photon counts used in this paper are the photon counts that reach a human cornea (Ieye). It can be calculated according to Supplementary Equation S2 (Ieye=Icon/Rc2e, Supplementary Information Section 3), where Icon is the photon counts measured by SPAD and Rc2e is the converting ratio.

Figure 1c shows a series of different batches of UCNPs purposely synthesized to cover a large range of representative sizes and emission properties (see Supplementary Information Section 2 for the details of characterization). Remarkably, their emission is highly uniform, which provides the foundation for this work in distinguishing single UCNPs from their clusters, either from images recorded by a camera or through real-time observation by the eyes. Notably, single UCNPs can be detected under low excitation power densities. As shown in Figure 1b, there are 78 photons per 100 ms detected from the 4-photon upconversion emission band (455 nm) under an excitation power density as low as 320 W cm−2, and even the achieved intensity of 4186 photons per 100 ms for naked eye inspection requires a power density of approximately only 12 kW cm−2, which is almost four orders of magnitude smaller than the excitation power required in two-photon microscopy19.

Due to the optical diffraction limit, conventional far-field fluorescence microscopy does not have sufficient resolution to determine the number of nanoparticles when they are too close to each other. Approaches such as correlative electron microscopy9 or the recently reported MINFLUX method20 can be applied to improve the resolution. A high-level of uniformity in the UCNPs (Figure 1c) provides the ability for observers to identify a threshold intensity for single-UCNP detection. The emitters with a brightness higher than this threshold value will be identified as several nanoparticles within the diffraction limit region (e.g., labelled by orange dots in Figure 2a). The threshold value measured by the system (Figure 1a) enables automatic single-nanoparticle detection (Figure 2a, processed data) in real-time by computer processing of a wide-field fluorescence image (Supplementary Information Section 5). Note that the processed computer data compensate for the non-uniform excitation field and provide an accurate single identification accuracy (100% accuracy, Supplementary Fig. S6). Remarkably, due to the background-free detection with the NIR excitation, non-blinking and non-bleaching features of the UCNPs, the human eye can also identify this threshold and recognize single UCNPs during microscopic inspection (Figure 2a, eye vision).

Figure 2
figure 2

Wide-field upconversion fluorescence microscopy method for determining single nanoparticles for long-term 3D tracking and measurement of the local intracellular viscosity. (a) The bottom left image was recorded by a CCD camera (Nikon DS-2Mv) and adjusted (exposure time 150 ms; gain at 4) to show the equivalent intensity level of the image observed by the eye. The top right image was recorded by the same CCD image, and the intensity of each nanoparticle spot was compensated by considering the Gaussian excitation pattern and the power-dependent emission property of the UCNPs (doped with 1 mol% Tm3+) (see Supplementary Information Section 5). Both half images allow for the determination of single UCNPs and clusters or spots containing more than one UCNP, marked by an orange dot. (b) Three representative single-cell images containing seven UCNP spots (doped with 4 mol% Tm3+) at different heights of 1, 2 and 4 μm recorded by a CCD camera in video mode (4.75 frames per second; the exposure time of each frame is 150 ms; gain at 4) during the z-axis scanning process. The high brightness of each single UCNP allows for the real-time recording of the upconversion fluorescence images under bright-field illumination. (c) 3D trajectories of seven numbered upconversion spots, including four single UCNPs (#2, 3, 4 and 6), marked by blue dots and three non-single UCNPs (#1, 5 and 7), marked by orange dots, observed for 21 s by a 368.85 s tracked video (Supplementary Movie S1). (d) Cumulative displacement and (e) mean-square displacement (MSD) analysis of the seven spots showing their movement speeds at different times; particles #3 and #7 show two phases of movement. The MSDs are plotted as a function of time lag, which is the time required for the particle to be displaced through diffusion (see Supplementary Information Section 6). (f) Fitting results of the diffusion coefficients for the seven UCNP spots, containing two phases of movement for particles #3 and #7. (g) Localized viscosity measurements by the four single UCNPs, including the two movement environments of single particle #3.

The importance of the real-time observation of single cellular event comes from the detection of sub-cellular vesicles and protein movements and understanding their interactions in the complex cellular function. There are myriad of models21 that propose different sub-cellular functions, including cytoskeleton re-arrangement22, protein dynamics, organelle movement and cooperation23, 24, but until now, options for the real-time observation of these models in living cells have been limited. As Figure 2b shows, in the three typical 2D images taken at different heights, the high brightness of the photostable UCNPs is detectable not only in a dark room but also under bright-field illumination, providing the ability to identify the position of a single nanoparticle within a living cell and establishing a powerful tool for examining intercellular re-organization and trafficking.

Herein, by recording the data and offline analysis of nanoparticles inside living cells, the 3D trajectories of seven spots of single particles (# 2, 3, 4 and 6) and clusters (# 1, 5 and 7) within a single cell for an observation period of 21 s (Figure 2c) clearly show the heterogeneous dynamics of each single nanoparticle and cluster, highlighting the ability to precisely distinguish the transition between different dynamic phases of the transport of a single nanoparticle. The cumulative displacements (Figure 2d) and their corresponding mean-square displacement figures (Figure 2e) show that most of the particles exhibit ‘confined’ particle diffusion, which is most likely associated with nanoparticle movement inside the sub-cellular vesicle. Interestingly, particle #2 demonstrates a slightly higher motility as well as a higher diffusion coefficient of 0.18 μm2 s−1 (Figure 2f). Recently, Liu et al.10 established that the motility of gold nanoparticles in early endosomes is slightly higher than that in late endosomes/lysosomes. Our observation corresponds with those results well, as particles #1, 4, 5, 6 and 7 are all located in the perinuclear area that is similar to the location of late endosomes/lysosomes, while particle #2 is closer to the cell membrane (early endosome).

Remarkably, particle #3 moves relatively fast and exhibits two-phase particle movement, reaching a speed of 3 μm s−1 during phase II with a specific direction. Such a movement is associated with the active migration of molecular motor proteins on microtubules or actin filaments8, 10, 25. Figure 2f further illustrates that during phase II, particle #3 reaches a diffusion coefficient as large as 0.52±0.04 μm2 s−1, suggesting that its movement occurs within a transport channel. The much lower diffusion coefficients of the other particles and clusters are in good agreement with the values reported for the random diffusion of nanoparticles inside cells7, 26.

Our approach further enables the quantitative study of the localized environment viscosity, the knowledge of which provides powerful insight into protein dynamics, as the local viscosity contributes to the specific functioning of intracellular proteins21. Figure 2g shows that particles #4 and #6 reside inside late endosomes/lysosomes and exhibit low motility, which also corresponds to a higher viscosity inside those organelles (166±13 and 184±14 cP, respectively). The viscosity of early endosomes, where particle #2 is presumably located, is lower (41±4 cP)27, which is associated with more a dilute environment. In contrast to confined nanoparticles, particle #3 exhibits a high motility that corresponds to a lower viscosity (11.6±0.9 cP) in its vicinity (cytoplasm). The lower viscosity in the cytoplasm promotes higher hydration, which leads to higher protein functionality.

To further demonstrate the power of our approach in resolving single nanoparticles, we focused on tracking a diffraction-limit spot containing multiple UCNPs. Figure 3a–e show two UCNPs tightly confined within an ∼200 nm region for the first 168 s that are separated but within close proximity to each other. The intensity-based analysis (Figure 3d) clearly identifies one cluster (P1&P2) and two individual single nanoparticles (P1, P2). We further calculated Pearson’s correlation coefficient (see Supplementary Information Section 6) and obtained a value of 0.46 (P<0.05), which is considered to be a moderate positive correlation, indicating that the two UCNPs are not aggregated but have a degree of independency.

Figure 3
figure 3

High-resolution long-term tracking of two single UCNPs confined within a diffraction-limit spot and their escape process. (a) Bright-field and epifluorescence image of a single cell taken at 0.21 s from Supplementary Video S2. The insert image is the cluster of interest in this study, which contains two single 40 nm 4 mol% Tm3+-doped UCNPs. (b) 2D tracking of the 8.5 × 6.4 μm area for the period from 10.5 s to 367.29 s. (c) Bright-field and epifluorescence image of a single cell at 372.54 s from Supplementary Video S2. (d) Intensity map of the two nanoparticles showing the transformation from a diffraction-limit cluster (red) to two independent nanoparticles (blue for particle 1 and light blue for particle 2). (e) 2D pathways of the two tracked single nanoparticles from their confinement to their escape from their local environment over time (colour coded). (f) Cumulative displacement and (g) MSD analysis of the cluster and its separation into two single nanoparticles, each of which later experienced two phases of movement at different times. (h) Calculated diffusion coefficient and (i) resultant local viscosity measurements for the two separated single UCNPs.

Figure 3f and g show that both the UCNPs are first retained in a confined area, possibly between actin filaments. After separation into singles nanoparticles (phase I), they proceed to move with a speed similar to that before separation. During phase II, both separated nanoparticles begin to move faster.

Interestingly, the diffusion coefficient analysis (Figure 3h) reveals that the diffusion coefficients for P1&P2, P1 in phase I (P1I) and P2 in phase I (P2I) have similar values, which also suggests that the two separate nanoparticles are confined in the same location; an aggregate with a larger size should have a smaller value. The viscosity calculation (Figure 3i) shows a very high viscosity value for P1 and P2, which most likely does not reflect the local viscosity but rather reflects the immobilized state of the nanoparticles associated with cell structural components, i.e., trapping between actin filaments.

The UCNPs presented in this work are not only bright but also display excitation-power-dependent properties, and Supplementary Figure S3 shows that high concentrations of Tm3+-doped UCNPs only turn on at relatively high excitation power densities28. This result offers a new dimension for the simultaneous imaging and tracking of multiple kinds of single nanoparticles. Figure 4 demonstrates the potential of this fifth untapped dimension independent of the conventional colour channels for optical multiplexed tracking of single nanoparticles in a 3D cellular environment, which is useful because it gives the ability of colour-blind observers to use upconversion fluorescence microscopes.

Figure 4
figure 4

Multiplexed imaging strategy for tracking multiple types of UCNPs at the same emission colour band. (a–c) Under an average excitation power density of 0.0557 MW cm−2 and with the CCD camera set for a 200 ms exposure time at a gain value of 13.6, only the blue emission of the 1 mol% Tm3+-doped UCNPs are sufficiently bright for single UCNP observation. (d–f) Under a medium excitation power density of 0.2783 MW cm−2 and with the same settings of the CCD camera, the 8 mol% Tm3+ UCNPs start to emit a comparable amount of upconversion luminescence to that of the 1 mol% Tm3+ UCNPs. (g–i) Under a relatively high excitation intensity, e.g., 0.6851 MW cm−2 and above, the 8 mol% Tm3+ UCNPs become so bright that they saturate the camera; thus, a reduced gain with a value of 2 and an exposure time of 100 ms are applied for the image recording. Under this condition, the signals from each single 1 mol% Tm3+ UCNP become lower than the detection threshold of the camera (orange dotted lines), making it undetectable compared with the brightly emitting 8 mol% UCNPs. (b, e, h) are the background-free upconversion images. (c, f, i) are the upconversion images in a living cell when bright-field illumination is on. To compare the recorded emission intensity of each UCNP, each upconversion image is also presented as a 3D intensity plot below each image.

In summary, here, we have realized a library of UCNPs that allows the human eye to distinguish single nanoparticles in living cells through a microscope. This unique capability further enables the accurate measurement of localized intercellular environment viscosities for functional super-resolution imaging. Time-resolved imaging of lifetime-tunable UCNPs29 will enable multiplexed imaging and super-resolution imaging of sub-cellular structures. With both their excitation and emission bands in the NIR optically transparent biological window, the UCNPs demonstrated in this work make single nanoparticle tracking in deep tissue feasible.