FTIR is well established as a method for studying biominerals in a variety of settings, and nano-FTIR extends this functionality to include spectroscopic mapping at the nanometer length scale. Our observations of phosphates and carbonates in the well-studied examples of M. edulis and human dentin reveal exquisite detail, which matches what is observed by electron microscopy and nanoindentation. The achievement of chemical and structural mapping of biominerals opens new horizons for our understanding of mineral arrangements and variability in biological systems. Intricate carbonate-based natural skeletons, that may include transient and stabilized amorphous phases, can now be mapped within and across interfaces by a noncontact and nondestructive imaging technique. With respect to apatite studies, our method is directly applicable to the investigation of healthy and diseased forms of vertebrate bones and teeth. Mineral precipitation, aggregation and aging can now be analyzed and quantified in submicrometer detail, to better understand the biological processes of bone formation, abnormal development, and healing in response to drug treatment.
Several technical advantages of surface scanning make the nano-FTIR approach extremely robust and useful for the study of biological materials. The samples need not be thin, only reasonably flat, thus avoiding thin-section preparations, which are prone to damage. Unavoidable topographic obstacles resulting from the cutting and polishing procedures are of little consequence: Height variations of 100 nm do not change the off-resonant infrared amplitude () nor the resonant response in amplitude and phase, as demonstrated for example by the repeatability of the carbonate resonance spectra within the sample region containing biocalcite (). At steep topographic edges though, the s-SNOM amplitude is known to be reduced over a width equal to the spatial resolution, resulting in "edge darkening" [
6]. This effect probably contributes to the dark regions seen between calcite crystals in and remains to be further investigated. The impressive spatial resolution of nano-FTIR can be judged from the edges of the biocalcite crystals () that demonstrate a mechanical (AFM) resolution certainly below 30 nm. Abrupt edges of the nano-FTIR line section showing the phosphate resonance (,c and ,c) prove that the infrared resolution is better than 20 nm.
The "phosphate" particles in
M. edulis are clearly recognized from their spectral signature (Figures 3–5), but would have been barely detected based on their topographic appearance alone (interestingly, their surfaces (see also and ) appear smoother than the neighboring biocarbonate crystals). Note that the nano-FTIR spectra of the "phosphate" particles additionally show one of the carbonate resonances (Figures 3–5), obviously originating from the crystals underneath [
36,
40]. To understand this effect, we recall that the basic near-field interaction probes the sample to a depth on the order of the tip radius (or somewhat deeper when one chooses the tapping amplitude or the average tip-to-sample distance to be larger than the tip radius) [
6]. Thus buried objects may affect the backscattering provided that the covering layer is not thicker than a few times the tip radius [
36]. Based on this effect, even a tomographic mapping capability of s-SNOM has been suggested [
6,
41]. Our present observation is the first report to distinguish different phonon resonances in both the covering layer and the buried material. We estimate from the observed amplitudes that the thickness of the "phosphate" particles is on the order of 10–30 nm, in agreement with their topographic appearance.
The origin of the "phosphate" particles remains unclear in this proof-of-principle study. Their erratic distribution may suggest some unknown preparation artifact. The material could be a modification of materials in the organic matrix; however, this is not highlighted in the infrared images. Nevertheless, it is clear that the particles could not simply be dried polishing material (Struers OP-A) since this shows a weak FTIR absorption at 1073 cm
−1 () but no discernible nano-FTIR resonance in the frequency range of interest. A strong argument for the assignment of the particles as crystalline phosphate is the observed high spectral phase effect of about 80°, exceeding that of bioaragonite (50°) and biocalcite (70°). Typically the spectral phase effect is on the order of 30° for strong polymer vibrations [
8–
9] but on the order of 400° for strong crystal phonons [
3,
6]. For molluscs the employment of phosphate in shell architecture has not been reported, but the radula (tooth structure) of the chitons is known to contain calcium phosphate [
42–
43]. In bones, phosphorylated proteins have been suggested as important components of the organic matrix [
44–
45]. Notwithstanding their unclear origin, our finding of "phosphate" particles demonstrates that nano-FTIR can easily locate and chemically recognize nanometer-sized material even at high rarefaction. We finally note that the observed particles are crystalline for two more reasons: (i) Their near-field scattering amplitude is about 10
−3 as with calcite ( and ), and not much smaller than 3 × 10
−3 as known for two strongly polar crystals, SiC and SiO
2 [
3]; and (ii) their near-field resonance line shape is asymmetric, with the steep high-frequency edge () typical of strong oscillators [
6,
46]. Disorder in a crystal would strongly reduce the amplitude, as has been shown systematically [
47]. Amorphous materials have a reduced, broadened resonance [
3], while typical organic materials are known to have an even weaker response [
8], as is also seen in this study with the PMMA resonance peaking at 1.5 × 10
−4 near 1150 cm
−1 (grey curve in ).
The broad phosphate bands measured in dentin by nano-FTIR contain information on the biomineral composition and density. Firstly, from their peak and baseline amplitudes () we tentatively determine the local volume fraction f of mineral particles (assuming f = 1 for enamel) to amount to f = 0.54, 0.30, and 0.26, respectively, for the spectra 1, 2, and 3 (see Experimental section). Then, following normalization, we obtain the line shapes of the mineral fraction at each of the three locations, plotted in (in the same colors as in ). Clearly there are significant, position-dependent differences in the 1020 to 1120 cm−1 frequency range. These differences show that (i) tooth materials consist, even on a 20 nm length scale, of several mineral types differing in their vibrational resonances, and (ii) the mineral composition varies with location. Specific spectral components may be identified at 1020, 1055, and 1100 cm−1. The component at 1055 cm−1 is present in enamel and peritubular dentin but not in intertubular dentin, and may relate to the lack of collagen protein, whereas the component at 1100 cm−1 is present in all dentin but not in enamel. For discussing possible assignments we have calculated and plotted the distribution of three characteristic quantities, which we extract from the nano-FTIR spectral scans, namely the peak s-SNOM amplitude (red), the ratio r of amplitudes at 1053 cm−1 and 1022 cm−1 (green; not meaningful in the tubule lumen), and the phase at 1080 cm−1 (blue), in a direct comparison with the BEI profiles ( and ).
In the BE image with 0.12 nm resolution (), the brightness provides a local measure of the electron density [
48] and consequently of the mineral content [
39]. While the white hypermineralized rim of the tubule exhibits an identical shape to that seen in the infrared (), the fine linear fibrils in the BEI are not seen in the infrared images presumably because they are too deep below the surface. We note in passing that s-SNOM is nondestructive, unlike SEM in which the interaction of electrons with bony materials is known to induce damage. The extracted BE profiles () mark the edges of the tubule lumen, as do the extracted infrared profiles. Outside the peritubular rim, the amplitude (red) and phase (blue) correlate qualitatively with the BE-defined mineral content (black). An exception in the 7.1–7.5 µm section of (right) is attributed to the different probing depths of the s-SNOM and BE imaging methods. Amplitude and phase thus appear to be equally capable of measuring small density changes. As for the spectral differences within the phosphate band, the ratio
r is about 0.8 and 0.7 for the peritubular and intertubular regions of the large tubule (x,y), respectively, but interestingly only 0.7 and 0.6, respectively, for the small tubule (z, ). For enamel
r = 0.80 ().
An assignment of the observed nano-FTIR spectral components of tooth at around 1020, 1055, and 1100 cm
−1 is, unfortunately, not straightforward, because most apatite species of interest have not yet been measured by s-SNOM as pure substances. For bulk crystals, it is well known from theory and experiments that the near-field resonance in the case of a strong oscillator is up-shifted from the transverse phonon frequency that marks the infrared absorption [
6]. The up-shift nearly to the longitudinal phonon frequency amounts to 62 cm
−1 for SiO
2 [
3], and even to 120 cm
−1 for the exceptionally strong phonon of SiC [
46]. For fluorapatite, infrared-active modes are known to be at 1030 cm
−1 (strong), 1042.5 cm
−1 (weak), and 1091 cm
−1 (medium) [
49], while nano-FTIR registers a strong resonance at 1063 cm
−1 (as also in hydroxyapatite) and a weak one at 1090 cm
−1, as shown in (for comparison we also show reflectivity spectra that nearly match for both apatites). The strong near-field resonance obviously comes from the strong infrared-active mode at 1030 cm
−1, and thus is up-shifted by 33 cm
−1. Naively one would expect that the near-field components observed at 1020, 1055, and 1100 cm
−1 in tooth materials connect to correspondingly lower-frequency, strong infrared absorption components. But this seems not to be the case, because the experimental FTIR absorption of dentin exhibits peaks at 1039, 1069, 1108 [
30], or 1040, 1060, 1092 cm
−1 [
28]. A down-shift of the 1040 line to 1014 cm
−1 was reported for caries-affected dentin [
26]. Theoretically it has not been explored for the case of small particles as to whether, and in which direction, the near-field resonance should shift from a given far-field absorption peak. Our experiments show that the near-field resonance in enamel and dentin exhibits a peak near 1020 cm
−1, which is 43 cm
−1 below the near-field resonance of apatite ().
Generally, the interpretation of infrared absorption observed in bone should be extended to include the influence of the particles' shape through depolarization effects [
50–
51]. Recently, density functional theory has been applied specifically to the apatite ν
3 vibrational infrared absorption, predicting strong spectral distortion and splitting (up to ±50 cm
−1) due to these macroscopic electrostatic effects (not to be confused with microscopic distortion of lattice cells), depending on whether the particles are spherical, needle-like or plate-like [
52]. Powder measurements with classical FTIR displayed absorption peaks at 1038, 1067, 1097 cm
−1 for fluorapatite, and at 1034, 1053, 1105 cm
−1 for hydroxyapatite, where indeed the last two peaks were found to be strongly split by the nonspherical shape of the particles [
52]. Similar values were reported in other studies [
24,
53–
54]. As the mineral in dentin and bone consists of isolated, locally ordered apatite platelets, strong depolarization effects probably distort the infrared spectra in the ν
3 phosphate resonance region. Clearly a systematic study is warranted in which near-field and far-field infrared apatite bands are acquired for various shapes of chemically and structurally well-defined nanocrystals. Such a study should also cover the weaker ν
1 phosphate band, which is less affected by electrostatic effects, as are all Raman lines [
52].
directly illustrates the spectral discrimination provided by nano-FTIR [
46], which has great potential for mineral research. The measured near-field response is seen to drop within 7 cm
−1 (between 90% and 10% of the peak amplitude); the response is even sharper because our present instrumental resolution is about 6 cm
−1 [
3]. Additionally, shows that the resonance becomes narrowed simply by choosing a higher order
n of signal demodulation (see Experimental section) [
6]. This would result in a virtual "tip sharpening" and improve the spatial resolution of the s-SNOM [
6,
55–
56]. As for the spectral resolution, a discrimination of components differing by just a few cm
−1 is certainly achievable.