The Chemical State and Occupancy of Radiogenic Pb, and Crystallinity of RW-1 Monazite Revealed by XPS and TEM

Monazite ((Ce, La, Nd, Th)PO4) is one of the widely used minerals for U–Th–Pb dating in geochronology. To better understand the possible effects of radiogenic Pb on the in situ dating method, a natural monazite U–Th–Pb standard sample (RW-1) was chemically and structurally characterized down to atomic scales by using the combination of Raman spectrum (RM), X-ray photoelectron spectroscopy (XPS), and transmission electron microscopy (TEM). The experimental results revealed that radiogenic Pb exists as Pb2+ and substitutes for the Ce site in the monazite crystal lattice. Moreover, TEM imaging demonstrated that monazite is well crystalline revealed by an atomic structure in most areas except for a few tiny defects, which are likely attributed to alpha self-healing from an electronic energy loss of α particles. The characterization of the chemical state and occupancy of radiogenic Pb, and the distribution of Pb and Th in monazite at the nanoscale and atomic scale could provide insight for us to understand the mechanisms of the nanogeochronology.


Introduction
Monazite ((Ce, La, Nd, Th)PO 4 ), a light rare earth element (LREE)-phosphate mineral, is one of the widely used minerals for U-Th-Pb dating in geochronology [1][2][3]. It is also used as nuclear waste disposal material in material science due to the strong bonds between P and O and mineral structure [4][5][6]. Monazite does not easily become metamict despite its high Th-U contents and thus high radioactivity over time, and it often keeps an original U-(Th)-Pb system [7,8]. However, discordant U-(Th)-Pb ages determined from monazite, excluding those reversely discordant caused by excess 206 Pb resulted from high Th content during crystallization [2], have also been reported [9][10][11][12].
Hence, the age quality determined from the in situ dating method is heavily dependent on the distribution and migration of radiogenic Pb in monazite [8,13].
It has been found that radiogenic Pb can occur as a nanometer-sized domain (approximately 50 nm) and lead to the inconsistent chemical ages in monazite [14]. Recent studies by atom probe microscopy (APM) have demonstrated that radiogenic Pb could be coupled with nanoclusters (approximately 10 nm) exsolved from monazite matrix and may have detrimental effects on radiometric dating [15,16]. This indicates that the effect of heterogeneous distribution of radiogenic Pb could not be negligible especially when in situ U-Th-Pb SIMS micro-and APM nanogeochronology in monazite is used [16]. Therefore, the study of structural and chemical features of radiogenic Pb in monazite down to the nanometer and atomic scale can provide important constrains on the interpretation of U-Th-Pb ages of geological samples. The proportion of common Pb could be an important issue for U-Th-Pb dating [17]; but fortunately, it is normally low in monazite [1][2][3].
Moreover, the oxidation state of radiogenic Pb is also closely related to the diffusion and distribution of Pb in the lattice of minerals. Kramers and co-workers proposed that tetravalent Pb (Pb 4+ ) was maintained through geological time in the strongly oxidizing environment created by the radioactive decays in zircon, and its diffusivity is lower than divalent Pb (Pb 2+ ) [18]. In contrast, X-ray absorption near edge spectrometry (XANES) results from Sri Lanka zircon grains with the highest radiation dose showed that the oxidation state of radiogenic Pb is divalent, while those from the zircon grains with lower radiation doses indicated that a part of Pb may be tetravalent [19]. Dubrail et al. examined the natural monazite (LaPO 4 ) and zircon, and they showed that radiogenic Pb is in the Pb 2+ oxidation state in all the samples they investigated [20]. Dubrail [20,21]. For xenotime, some studies surmised that the divalent Pb ion (Pb 2+ ) is confined by the space available in the heavy REE-O 8 polyhedra and does not fit easily into the xenotime structure (such as YPO 4 and ScPO 4 ), but there is a lack of experimental evidence [22,23]. Obviously, the chemical state of radiogenic Pb in minerals presented a controversial argument in the current literature. In fact, monazite also experienced radiation damage and accumulated large amounts of alpha-dose, which is similar to zircon samples [20]. The different observation could be related to the crystal structure of minerals, but it is also probably related to the different geological conditions of mineral. This issue needs further investigation.
In this study, we systematically carried out mineralogical, structural, and chemical studies on a natural monazite-Ce ((Ce, Nd, Th, La)PO 4 ) sample by using the combination of Raman microscopy (RM), X-ray photoelectron spectroscopy (XPS), and transmission electron microscopy (TEM). Based on a comprehensive analysis down to atomic scales, the crystallinity of monazite, the chemical state and occupancy of radiogenic Pb in monazite lattice were determined.

Analytical Methods
X-ray photoelectron spectroscopy (XPS) has been widely used as one of surface analysis methods to investigate the chemical states of elements within solid materials and orthophosphate minerals [27][28][29][30]. For XPS surface analysis, two monazite chips (with the length of 1000 µm and width of~500-800 µm) were selected randomly in a large number of monazite fragments and polished by silica gel polishing fluid. The chemical state of radiogenic Pb was measured using a Thermo Scientific ESCALAB 250Xi XPS with spot size of 500 µm, which was equipped with a monochromatic Al Kα X-ray source and a multichannel detector at Beijing University of Technology. The collected XPS spectra were processed using the CasaXPS software (2.3.17, Casa Software Ltd., Teignmouth, UK). RM analysis was carried out on a confocal Raman microscope (WITec alpha 300 R, WITec GmbH, Ulm, Germany) with the laser wavelength of 488 nm.
For electron microscopy analysis, another two monazite chips were selected randomly from a mount with 24 fragments and coated with carbon with thickness of 8 nm after polishing. The cathodoluminescence (CL) images were performed on a FEI Nova NanoSEM 450 (FEI Inc., Hillsboro, OR, USA) at an accelerating voltage of 10 kV and working distance of 13.5 mm. Scanning electron microscopy-energy dispersive X-ray spectrometers (SEM-EDS) observations were performed on the FEI Nova NanoSEM 450 (FEI Inc.) at the accelerating voltage of approximately 20 kV with spot size of around 1 µm. For TEM analysis, the region of interest on the polished sample was selected to in situ cut with a Zeiss Auriga Compact, focused ion beam (FIB) system equipped with an Omniprobe AutoProbe 200 micromanipulator at the Institute of geology and geophysics, Chinese Academy of Sciences (IGGCAS). FIB experiments were carried out at 5-30 kV high voltage with beam currents from 2 nA to 50 pA to obtain FIB foils (two foils) with an approximate length of 10 µm, width of 3 µm, and thickness of 100 nm. Conventional TEM observations (bright-field (BF) imaging, selected area electron diffraction (SAED), and high-resolution transmission electron microscopy (HRTEM) imaging) were performed on a JEOL JEM-2100 TEM (JEOL Ltd., Tokyo, Japan) operated at 200 kV electron beam generated from a LaB 6 gun at IGGCAS. This TEM was equipped with an Oxford X-MAX energy dispersive X-ray spectrometer (EDS, Oxford Instruments plc, Abingdon, UK) for chemical microanalysis. Atomic resolution TEM experiments were carried out on an FEI Titan Cubed Themis G2 300 Cs-TEM at Tianjin University of Technology and Peking University. This TEM is equipped with field emission gun (FEG) operated at 300 kV and integrated four Super-EDX detectors (FEI Inc.), which allows a structural imaging down to atomic scales and chemical analysis with high sensitivity at both scanning TEM (STEM) and high-angle annular dark field (HAADF) modes.

XPS Results
The chemical state of radiogenic Pb was determined by XPS instrument (Thermo Scientific, Inc., Waltham, MA, USA) in two RW-1 monazite chips. Figure 1a shows the full XPS spectra (survey) of monazite and labeled with elements. The peak of Pb 4f was detected and roughly located in the range of 136-148 eV. The XPS spectrum of Pb 4f in this monazite was further intensively tested and shown in Figure 1b (yellow spectrogram). It was fitted with Gauss-Lorentz function after subtracting Tougaard background and calibrating with C 1s for C-C at 284.8 eV. The fitted red line shape (overlapped with green line, synthetic data envelope) represents Pb 4f 7/2 peak, and the blue line shape corresponds to Pb 4f 5/2 peak. Another fitted peak alongside Pb 4f 5/2 is identified to be Gd 4d 5/2 with the binding energy of 143.63 eV and is shown in magenta line. The exact position of binding energy for Pb 4f 7/2 , Pb 4f 5/2 obtained were 138.16 eV and 143.02 eV for chip1, 138.0 eV, and 142.9 eV for chip2, respectively (listed in Table 1). Three binding energy data of Pb 4f in PbO, Pb 3 O 4 , and PbO 2 in the literature, which were listed in Table 1, were used as reference for determining the oxidation state of radiogenic Pb in the monazite chips [31][32][33]. As shown in Table 1, the binding energy of the Pb 4f 7/2 peak and Pb 4f 5/2 peak in this monazite are in agreement with values reported in PbO, which are 138.0 eV and 142.9 eV, respectively [31]. Analysis of the Pb 4f XPS spectra reveals that the chemical state of radiogenic Pb exist as +2 in this monazite.
Minerals 2020, 10, 504 4 of 13 in this monazite are in agreement with values reported in PbO, which are 138.0 eV and 142.9 eV, respectively [31]. Analysis of the Pb 4f XPS spectra reveals that the chemical state of radiogenic Pb exist as +2 in this monazite.

Chemical and Mineralogical Features of Monazite-Ce (SEM and RM)
The cathodoluminescence (CL) images show that dark-bright contrast is uniform and there is no oscillatory zoning observed in two monazite chips (Figure 2a,b). Since oscillatory zoning reflects the internal structural features of monazite and represents heterogeneous distribution of REEs and trace elements in monazite [34][35][36], the elements in the monazite that we studied are homogeneously distributed at the micrometer scale. The EDS maps (Figure 2c-h) of the monazite chip ( Figure 2b) show a homogeneous distribution for major elements in this monazite at micrometer scale as well. This homogeneousness at the micrometer scale is also reflected in the homogeneous age of monazite from SIMS data [25].

Chemical and Mineralogical Features of Monazite-Ce (SEM and RM)
The cathodoluminescence (CL) images show that dark-bright contrast is uniform and there is no oscillatory zoning observed in two monazite chips (Figure 2a,b). Since oscillatory zoning reflects the internal structural features of monazite and represents heterogeneous distribution of REEs and trace elements in monazite [34][35][36], the elements in the monazite that we studied are homogeneously distributed at the micrometer scale. The EDS maps (Figure 2c-h) of the monazite chip ( Figure 2b) show a homogeneous distribution for major elements in this monazite at micrometer scale as well.
This homogeneousness at the micrometer scale is also reflected in the homogeneous age of monazite from SIMS data [25]. One of monazite chips (corresponds to the monazite in Figure 2b) on the mount was chosen for RM analysis. Figure 3 shows the Raman spectra (red spectrogram) of the monazite chip acquired by line scanning along the black line, which was subtracted from a linear background. The Raman band was fitted with a Lorentz function in order to measure the full width at half-maximum (FWHM), as shown for the blue spectrogram in Figure [37], but well above the average (approximately 7.2 cm −1 ) of those experienced experimentally annealed monazites without radiation damage reported [37,38]. Figure 4 shows the TEM results on two FIB foils of monazite which were viewed along [010] and [100] zone axis, respectively. The selected area electron diffraction (SAED) image demonstrated that the monazite was well crystalline (Figure 4a'). The structure of monazite crystal was obtained in several hundreds of nanometers area due to the diameter of the secondary aperture we used for electron diffraction being about 600 nm. The HRTEM images showed that monazite foils have a perfect crystal lattice (Figure 4c,d). TEM-EDS microanalysis reveals the major elements and trace elements (Figure 4b), and the peaks of Pb are indicated by red arrow in the EDS spectrum (include the inset in Figure 4b). The semi-quantitative content of Pb given by the EDS data is approximately 0.3 wt %, which is close to Pb concentration determined by SIMS [25]. Since the proportion of common Pb in total Pb is extremely low (f206 approximately 0.2%, f208 approximately 0.03%) in this monazite, the detected Pb by TEM are nearly considered as radiogenic Pb. One of monazite chips (corresponds to the monazite in Figure 2b) on the mount was chosen for RM analysis. Figure 3 shows the Raman spectra (red spectrogram) of the monazite chip acquired by line scanning along the black line, which was subtracted from a linear background. The Raman band was fitted with a Lorentz function in order to measure the full width at half-maximum (FWHM), as shown for the blue spectrogram in Figure 3c (Figure 4a'). The structure of monazite crystal was obtained in several hundreds of nanometers area due to the diameter of the secondary aperture we used for electron diffraction being about 600 nm. The HRTEM images showed that monazite foils have a perfect crystal lattice (Figure 4c,d). TEM-EDS microanalysis reveals the major elements and trace elements (Figure 4b), and the peaks of Pb are indicated by red arrow in the EDS spectrum (include the inset in Figure 4b). The semi-quantitative content of Pb given by the EDS data is approximately 0.3 wt %, which is close to Pb concentration determined by SIMS [25]. Since the proportion of common Pb in total Pb is extremely low (f 206 approximately 0.2%, f 208 approximately 0.03%) in this monazite, the detected Pb by TEM are nearly considered as radiogenic Pb.     Atomic resolution STEM-HAADF images show the actual positions of atoms, in the form of projections of atomic arrangements along different directions. The brightness in the HAADF image is approximately proportional to the square of the atomic number (Z 2 ), i.e., the heavier the atoms, the brighter the contrast of atomic column [39]. The STEM-HAADF images of monazite structure taken along the [010] and [100] directions display that the atomic columns are arranged perfectly in the observed areas (Figure 5c,d). The insets (as shown in Figure 5c´,d´) show the enlarged HAADF images and the models of atomic arrangements of Ce (for CePO 4 ) along the [010] and [100] direction (the atomic models of CePO 4 are shown in Figure 5a,b). Since the HAADF image shows a strong atomic-number (Z) contrast with a minimum dependence on microscope defocus [39,40], the bright spots indicate the relatively heavier elements, Ce, Pb, Th, and other REEs, while the dark contrast correspond to the light elements, such as O, P, Si, and Ca. By comparing the arrangement of bright atomic columns in HAADF images with the atomic arrangements of CePO 4 (see Figure 5a,b), a one-to-one correspondence was found between the bright atomic column and Ce site, suggesting that the heavier species substitute the Ce site qualitatively in the monazite structure. Similar investigation in the STEM-HAADF images of an archean zircon indicated that Pb atoms directly substitute for Zr in the zircon structure [41]. Since the atomic number of Pb (82) and Th (90) is strikingly higher than REEs, the atomic columns incorporated with Pb and Th present brighter contrast than those of REEs (such as Ce, Nd, La, Pr, Sm, et al.). As is shown in Figure 5e,f, the intensity profile of each atomic clomun in the green rectangular box and red rectangular box are different. The intensity of peaks marked with an ellipse display more remarkable levels than the other peaks, indicating that more Pb and Th were incroprated into these columns. Atomic resolution STEM-HAADF images show the actual positions of atoms, in the form of projections of atomic arrangements along different directions. The brightness in the HAADF image is approximately proportional to the square of the atomic number (Z 2 ), i.e., the heavier the atoms, the brighter the contrast of atomic column [39]. The STEM-HAADF images of monazite structure taken along the [010] and [100] directions display that the atomic columns are arranged perfectly in the observed areas (Figure 5c,d). The insets (as shown in Figure 5c´,d´) show the enlarged HAADF images and the models of atomic arrangements of Ce (for CePO4) along the [010] and [100] direction (the atomic models of CePO4 are shown in Figure 5a,b). Since the HAADF image shows a strong atomic-number (Z) contrast with a minimum dependence on microscope defocus [39,40], the bright spots indicate the relatively heavier elements, Ce, Pb, Th, and other REEs, while the dark contrast correspond to the light elements, such as O, P, Si, and Ca. By comparing the arrangement of bright atomic columns in HAADF images with the atomic arrangements of CePO4 (see Figure 5a,b), a oneto-one correspondence was found between the bright atomic column and Ce site, suggesting that the heavier species substitute the Ce site qualitatively in the monazite structure. Similar investigation in the STEM-HAADF images of an archean zircon indicated that Pb atoms directly substitute for Zr in the zircon structure [41]. Since the atomic number of Pb (82) and Th (90) is strikingly higher than REEs, the atomic columns incorporated with Pb and Th present brighter contrast than those of REEs (such as Ce, Nd, La, Pr, Sm, et al.). As is shown in Figure 5e,f, the intensity profile of each atomic clomun in the green rectangular box and red rectangular box are different. The intensity of peaks marked with an ellipse display more remarkable levels than the other peaks, indicating that more Pb and Th were incroprated into these columns.  In spite of the perfect arrangement of atomic sites in most areas, some distorted lattices (encircled by the Burgers circuit) were observed in the STEM-HAADF image from the FIB foil of monazite (Figure 6a), indicating that there are crystal defects or decay damage in this monazite structure investigated. A Burgers vector was marked with a yellow arrow in a Burgers circuit, and the enlarged Burgers vector was illustrated in the inset (a´). Figure 6b is the inverse fast Fourier transform (IFFT) image of the area given by the box in Figure 6a. An edge dislocation was indicated by the black ⊥ sign in Figure 6b. By Burgers circuit closure and crystallography analyses, the Burgers vectors b of the edge dislocation was determined to be , and the edge dislocation in the dipoles glide on the (111) planes. A similar case about distorted domains were also reported in DIG19 monazite by Seydoux-Guillaume et al. [5].

Atomic Structure of Radiogenic Pb in Monazite (TEM)
In spite of the perfect arrangement of atomic sites in most areas, some distorted lattices (encircled by the Burgers circuit) were observed in the STEM-HAADF image from the FIB foil of monazite (Figure 6a), indicating that there are crystal defects or decay damage in this monazite structure investigated. A Burgers vector was marked with a yellow arrow in a Burgers circuit, and the enlarged Burgers vector was illustrated in the inset (a´). Figure 6b is the inverse fast Fourier transform (IFFT) image of the area given by the box in Figure 6a. An edge dislocation was indicated by the black ┴ sign in Figure 6b. By Burgers circuit closure and crystallography analyses, the Burgers vectors b of the edge dislocation was determined to be , and the edge dislocation in the dipoles glide on the (111) planes. A similar case about distorted domains were also reported in DIG19 monazite by Seydoux-Guillaume et al. [5].

The Crystallinity of RW-1 Monazite-Ce
For RW-1 monazite-Ce, the accumulated alpha dose is as high as 9.5 × 10 19 α/g. This is normally considered as sufficient heavy to make a mineral amorphous. It is well established that zircon is readily subjected to radiation damage induced by α particles recoil events and become metamict [4,42,43]. However, things could be different and more complicated for monazite. In contrast to zircon, monazite is not susceptible to amorphization; meanwhile, metamict monazite is rarely observed in nature [4,44]. Some probable reasons are commonly considered to explain the absence of metamict in natural monazite, such as the strong bonds for P-O and the low symmetry monazite structure [45][46][47], recrystallization of thermal annealing at low temperatures over geologic time [4,48], and alphaself-healing due to the electronic energy loss of α particles [49][50][51].
Raman spectroscopy was introduced as a method to estimate the degree of metamictization due to the accumulated radiation damage [37,52]. The Raman spectra show a broadened Raman band with FWHM around 20.4 cm −1 , which is much wider than those (7.2 cm −1 ) of annealed monazite and implicating that the sample experienced radiation damage. The HRTEM images and HAADF images suggest that the monazite is well crystalline in most areas; however, some distorted lattices do exist, such as edge dislocations ( Figure 6). There is no metamict observed in this monazite. The edge dislocation is probably related to the radiation damage induced by alpha decay. The evidence of radiation damage in natural monazite is limited to nanometer-sized domains with distorted lattice within monazite structure [38,53]. Although the dislocation areas are almost negligible compared to the total

The Crystallinity of RW-1 Monazite-Ce
For RW-1 monazite-Ce, the accumulated alpha dose is as high as 9.5 × 10 19 α/g. This is normally considered as sufficient heavy to make a mineral amorphous. It is well established that zircon is readily subjected to radiation damage induced by α particles recoil events and become metamict [4,42,43]. However, things could be different and more complicated for monazite. In contrast to zircon, monazite is not susceptible to amorphization; meanwhile, metamict monazite is rarely observed in nature [4,44]. Some probable reasons are commonly considered to explain the absence of metamict in natural monazite, such as the strong bonds for P-O and the low symmetry monazite structure [45][46][47], recrystallization of thermal annealing at low temperatures over geologic time [4,48], and alpha-self-healing due to the electronic energy loss of α particles [49][50][51].
Raman spectroscopy was introduced as a method to estimate the degree of metamictization due to the accumulated radiation damage [37,52]. The Raman spectra show a broadened Raman band with FWHM around 20.4 cm −1 , which is much wider than those (7.2 cm −1 ) of annealed monazite and implicating that the sample experienced radiation damage. The HRTEM images and HAADF images suggest that the monazite is well crystalline in most areas; however, some distorted lattices do exist, such as edge dislocations ( Figure 6). There is no metamict observed in this monazite. The edge dislocation is probably related to the radiation damage induced by alpha decay. The evidence of radiation damage in natural monazite is limited to nanometer-sized domains with distorted lattice within monazite structure [38,53]. Although the dislocation areas are almost negligible compared to the total volume, they result in an obvious reflection in Raman analysis. Anyhow, TEM and STEM-HAADF images show a well crystalline on the dominated area of this monazite. Meantime, this monazite kept an original U-Th-Pb system, indicating no later recrystallization. It implies that alpha-self-healing due to the electronic energy loss of α particles may play a significant role in explaining the well crystallinity of RW-1 monazite-Ce with a high alpha-decay dose [49][50][51].

The Chemical State of Radiogenic Pb
Previous studies by X-ray absorption near-edge structure (XANES) for some nature zircon and monazite (LaPO 4 ) have concluded that radiogenic Pb is stored as a divalent cation [19,20]. There are also some viewpoints that argue that the tetravalent state in radiogenic Pb could be maintained in a highly oxidizing environment created by by β-decays [18], or Pb 4+ may be exist in the zircon with lower radiation doses, as suggested by the pre-edge features of XANES [19]. In this study, via analyzing the XPS spectra from RW-1 monazite-Ce, we confirmed that the chemical state of radiogenic Pb is in the form of Pb 2+ in this monazite (Figure 1b). Recent studies further revealed that radiogenic Pb is divalent in uraninite, coffinite, brannerite, zircon, and titanite [54]. Furthermore, Syverson et al. (2019) pointed out that radiogenic Pb should be still indicative of Pb 2+ in the zircon exposed to lower doses by examination of the pre-edge [54].
In addition, the coordination number of Ce is nine in the monoclinic monazite structure; that is to say, Ce 3+ is coordinated with nine oxygen ions in monazite [46,55,56]. The ionic radius of Ce 3+ is 1.196 Å in nine-fold (IX)-coordination, and the average Ce-O distance is 2.552 Å in the monazite (CePO 4 ) [56,57]. In the case of Pb 2+ , it has an ionic radius of 1.29 Å in eight-fold (VIII) coordination and the ionic radius of 1.35 Å in IX coordination [57]. Although the ionic radius of Pb 2+ is slightly higher than that of Ce 3+ , it is reasonable in keeping stabilization in the monazite lattice due to the Pb substitutes the Ce site, as proven by the experiments in this study. The oxidation state and the occupancy of radiogenic Pb could also satisfy with the following coupled substitution: 2 REE 3+ = Pb 2+ + [U, Th] 4+ [21]. It is contributed to maintain the charge balance of cation in monazite.

The Nanoscale Distribution of Pb and Th
Considering that Pb and Th (the atomic number is 82 and 90, respectively) are much heavier than REEs, such as Ce (58), Nd (60), La (57), Sm (62), Pr (59), Sn (50), Y (39), and Gd (64), in this monazite, the columns incorporated with more Pb and Th will reflect brighter contrast than those incorporated with REEs. A method based on image processing (the details are shown in Figure S3 in SI from  was introduced to quantitatively evaluate the distribution of Pb and Th [58]. Zhang et al. have confirmed the distribution of Ge/Sb/Vacancy sites according to a normalized intensity mapping acquired by the image processing method [58,59]. To obtain the normalized intensity of Pb sites, the brightness of Ce atoms is set as reference and background because it is the main element. Figure 7 shows the normalized intensity mapping of STEM-HAADF images (which is shown in Figure 5c,d) of RW-1 monazite along the [010] and [100] directions, respectively. The normalized intensity mapping (Figure 7a,b) with different colors reflects the relative concentration of Pb and Th in each column in the HAADF image. The average value of brightness is set to be 1.0 (green). Blue-to-white with a value of 0.85 represents the distribution of REEs where Pb and Th are poor. Red-yellow with a value of 1.15 represents the distribution of Pb-rich and Th-rich in the column.
In Figure 7a, the red-yellow dots present a random distribution in the column, indicating the random distribution of Pb and Th, while the Pb and Th presented a segregated distribution to some extent in Figure 7b (above dash line). The segregation of the heavier elements in the upper left corner in Figure 7b is approximately 10 nanometers. With the development and application of the APM dating technique, this case about the occupancy and distribution of radiogenic Pb and Th at nanoscale and atomic scale could provide a meaningful insight and interpretation for the study of Th-Pb nanogeochronology in monazite [16], although the SIMS data and CL images showed that trace elements are homogeneous at the micrometer scale [25].

Conclusions
In this study, multiple techniques were conducted to determinate the crystallinity, the chemical state, and occupancy of radiogenic Pb in the natural RW-1 monazite (-Ce) with high Pb concentration. The main conclusions can be drawn as follows: (1) The TEM and STEM-HAADF data demonstrated that the studied natural monazite is well crystalline in most areas. Meanwhile, some distorted lattices induced from self-radiation were also observed, which resulted in a broadening band of RM analysis.
(2) The radiogenic Pb exists as Pb 2+ in a current state.
(3) The STEM-HAADF data revealed that Pb atom substitute for the Ce atoms within the monazite crystal lattice. A normalized intensity mapping was developed for the STEM-HAADF images to better visualize the distribution of Pb and Th.

Conclusions
In this study, multiple techniques were conducted to determinate the crystallinity, the chemical state, and occupancy of radiogenic Pb in the natural RW-1 monazite (-Ce) with high Pb concentration. The main conclusions can be drawn as follows: (1) The TEM and STEM-HAADF data demonstrated that the studied natural monazite is well crystalline in most areas. Meanwhile, some distorted lattices induced from self-radiation were also observed, which resulted in a broadening band of RM analysis. (2) The radiogenic Pb exists as Pb 2+ in a current state.
(3) The STEM-HAADF data revealed that Pb atom substitute for the Ce atoms within the monazite crystal lattice. A normalized intensity mapping was developed for the STEM-HAADF images to better visualize the distribution of Pb and Th.