Archeological wood conservation with selected organosilicon compounds studied by XFM and nanoindentation

Waterlogged wood conservation is a complex and challenging task. Detailed knowledge about the interactions between the applied chemicals and wood is necessary to ensure the effective and safe conservation of wooden artifacts. The present research aims to determine the mechanism of dimensional stabilization of archeological wood by organosilicon compounds using the combination of synchrotron-based X-ray fluorescence microscopy (XFM) and nanoindentation. Archeological oak wood was treated with methyltrimethoxysilane, (3-mercaptopropyl)trimethoxysilane, or 1,3-bis-[(diethylamino)-3-(propoxy)propan-2-ol]-1,1,3,3-tetramethyldisiloxane, which in previous studies were found to be more effective than other organosilicons in stabilizing wood dimensions. The XFM and nanoindentation results showed that all three organosilicons infiltrated wood cell walls and enhanced their mechanical properties. The XFM also showed that part of the chemicals filled some void spaces like cell lumina. Based on the results obtained here and in our previous research, it is determined that the mechanism of archeological wood dimensional stabilization by organosilicon treatment is complex and likely involves both filling cell lumina and infiltration into cell walls where organosilicons interact with wood polymers.


Introduction
Waterlogged wooden artifacts found in water bodies or wet soil require immediate and appropriate conservation treatment directly after excavation to preserve their appearance and dimensions."Waterlogged" refers to the state where all pore spaces in wood tissue are entirely filled with water.It is known that the mechanical properties of even visually intact waterlogged wood cell walls are deteriorated to some extent due to degradation of the main wood polymers over time (Han et al. 2020).When such wood is exposed to air, it starts drying uncontrollably, which may result in its cracking, distortions, or even complete disintegration as a consequence of shrinkage and collapse due to drying stresses and capillary tension of evaporating water (Grattan 1987;Kaye 1995).Various consolidants have been used in conservation practice to prevent this and provide integrity and dimensional stabilization upon drying, e.g., alum, polyethylene glycols (PEGs), or different sugars (Unger et al. 2001;Broda and Hill 2021).Because each of them has some drawbacks, extensive research has been undertaken to find new, more reliable conservation agents for waterlogged wood (Broda and Hill 2021).Some of the newly tested approaches include the application of chitosan and its derivatives (Christensen et al. 2015;Walsh-Korb et al. 2022), lignin and its derivatives (McHale et al. 2016(McHale et al. , 2017)), cellulose and its derivatives (Antonelli et al. 2020;Wakefield et al. 2020), oligoamides (Papacchini et al. 2019), and halloysite nanotubes (Cavallaro et al. 2017;Parisi et al. 2020;Lisuzzo et al. 2021).
However, the mechanisms behind the stabilizing effect of these chemicals on the wood are still not fully recognized, and it remains unclear whether it includes the reinforcement of cell walls and restoration of their mechanical strength.In addition, the complex, multiscale structure of wood tissue makes it challenging to study.For example, consolidants may only flow into the micrometer-scale voids, such as lumina and pits, or they may also infiltrate into the cell wall materials.Norimoto cell wall modification models (Fig. 1) aid the discussion of the different types of interactions that can occur between consolidants and wood.For example, PEGs are known to completely fill cell lumina and also infiltrate cell walls (Hoffmann et al. 2004;Vorobyev et al. 2017), which would be Norimoto model A5.To better identify Norimoto cell wall modification models and understand the 1 3 Wood Science and Technology (2023) 57:1277-1298 stabilization mechanisms for organosilicons, we decided to use synchrotron-based X-ray fluorescence microscopy (XFM) in conjunction with the nanoindentation technique to investigate the penetration of the organosilicons into the wood structure and assess their effect on the cell wall mechanical properties (Jakes et al. 2015).
Several methods enable the characterization of the wood structure, chemical composition, and mechanical properties at different scale levels.They include scanning electron microscopy (SEM) and other microscopy techniques, along with porosimetry, thermoporometry and N 2 nitrogen absorption methods useful for investigation of the wood structural features (Guo et al. 2019(Guo et al. , 2022;;Han et al. 2020;Balzano et al. 2022), scattering methods to characterize the wood structure at micro-and nanoscale along with characterization of cellulose crystallinity (Svedström et al. 2012;Han et al. 2020), wet chemical analysis, NMR techniques, Raman and Fourier-transform infrared spectroscopy and imaging for chemical analyses (Xia et al. 2018;Zhou et al. 2019;Han et al. 2020), as well as Dynamic Mechanical Analysis (DMA) and nanoindentation with or without embedding (Pizzo et al. 2018;Han et al. 2020;Broda et al. 2021) to Fig. 1 Norimoto cell wall modification models, where A1 presents an unmodified wood cell, A2 shows infiltration of the cell wall by chemicals, A3 shows chemicals infiltrating the cell wall and partially filling the cell lumen, A4 shows chemicals filling only the lumen, and A5 shows chemicals both infiltrating the cell wall and completely filling the lumen (Norimoto 2001) study the wood mechanics.However, studies directly relating the amount of cell wall infiltration to cell wall properties are lacking.
In our study, we aim to more fully understand the mode of action of organosilicon compounds on waterlogged archeological wood by studying the relationship between organosilicon infiltration into the cell wall and cell wall mechanics.Cell wall infiltration was studied using XFM and cell wall mechanics were studied using nanoindentation.XFM is characterized by high spatial resolution and sensitivity that allows simultaneous mapping and quantification of trace amounts of medium-to high-Z elements (e.g., Si atoms) (Paunesku et al. 2006).Using an X-ray beam focused on sub-micrometer spot size, XFM has proven valuable for mapping mineral ions and labeled organic molecules in individual wood cell wall layers (Jakes et al. 2015(Jakes et al. , 2020;;Kirker et al. 2017).Because organosilicons contain Si, the Si XFM maps were used to map and quantify organosilicon compounds within the treated wood cell walls and cell lumina, which is impossible using other chemical analyses.
Nanoindentation is a technique for measuring material mechanical properties at a micrometer length scale, which is well suited to probe the mechanical properties of individual wood cell walls (Wimmer et al. 1997).In the case of chemically modified wood, nanoindentation is an effective tool to assess the effect of the applied chemical infiltration on the mechanical properties of the cell wall (Jakes et al. 2015;Jakes and Stone 2021).It seems to be particularly useful for the investigation of mechanical properties of degraded wood (including archeological wood) due to the fact that larger-scale techniques, such as DMA, do not allow for obtaining precise results for the collapsed cellular structure with internal cracks (Spear and Broda 2020;Broda et al. 2022).Observed changes in cell wall mechanical properties will help to indicate if organosilicons infiltrate the cell walls and help identify Norimoto cell wall modification models.Additionally, measured mechanical properties will aid the understanding of how cell wall modifications affect mechanical properties and are related to dimensional wood stabilization by organosilicon compounds.
The present research aims to determine the mechanism of dimensional stabilization of waterlogged archeological wood by organosilicon compounds using the combination of synchrotron-based X-ray fluorescence microscopy and nanoindentation.This knowledge is crucial for applying these chemicals in conservation practice as an alternative to the unreliable existing solutions and will help develop novel materials for conserving valuable artifacts of wooden cultural heritage.Moreover, increasing knowledge of the interactions of organosilicon compounds with wood polymers and their influence on wood properties should accelerate the development of new adhesive systems for the wood industry, allowing replacement of the currently used formaldehyde-based adhesives and producing new advanced environmentally friendly wood-based materials and composites for industrial and residential applications.The results of the study could therefore be useful not only for wood conservators but also for the worldwide wood industry.

Materials
Research material was archeological oak wood (Quercus robur L.) dating back to the tenth century, excavated from the soil in the basement of the Psalteria building at Ostrow Tumski (Cathedral Island) in Poznan (the Wielkopolska Region, Poland).The oak log used in the study, 15.5 cm in diameter, contained only heartwood and was relatively well preserved, with a loss of wood substance of about 10% (Broda and Popescu 2019).It was one of the construction elements of wooden fortifications (city walls) encircling the medieval early Piast settlement (Stempin 2018).
Small cubical samples with dimensions 20 × 20 × 10 mm (radial × tangential × longitudinal direction) were cut from the middle layer of the oak log, stretching from about 1.5 cm from the surface to 1.5 cm to the pith.This way, all the samples were at relatively similar levels of degradation.

Wood treatment with organosilicon compounds
Before treatment, archeological oak samples were first dehydrated in 96% ethanol for four weeks.Water promotes hydrolysis and condensation of organosilicon monomers (Osterholtz and Pohl 1992); therefore, water removal prevents preterm polymerization of organosilicon monomers in subsurface wood layers and facilitates their better diffusion deep into the wood structure, thus ensuring more even treatment throughout a whole wooden block.
After treatment, oak specimens were removed from impregnation solutions (control samples were removed from ethanol) and slowly air-dried in the fume hood at room temperature (21 ± 3 °C) and relative air humidity of 45 ± 5% for four weeks.Bulk density (ρ) was calculated as the ratio of the sample weight to sample volume after conditioning to ambient temperature and relative humidity.
Five replicates of each type were then oven-dried at 60 °C to a constant weight to obtain their dry mass necessary for bulk wood weight percent gain (WPG BW ) calculations to assess the amount of impregnation.WPG BW was calculated based on Eq. ( 1), where W 0 was an estimated oven-dry mass of the specimen before treatment (based on oven-dry masses of untreated control samples), and W 1 was the mass of a treated specimen oven-dried at 60 °C: The five remaining specimens of each type were measured in three anatomical directions (3 measurements in each direction per sample) with a digital caliper (± 0.01 mm) to calculate the volumetric wood shrinkage (S v ) and the volumetric anti-shrink efficiency coefficient (ASE v ) necessary to assess the stabilizing effect of each organosilicon applied.
Volumetric shrinkage (S v ) was calculated according to Eq. ( 2), where V 0 was the initial volume of a sample immediately after being removed from impregnation solutions, and V 1 was the final volume of a sample (untreated or treated, respectively) after air-drying: Anti-shrink efficiency coefficient (ASE v ) was calculated from the volumetric shrinkage of an untreated (S vu ) and a treated sample (S vt ) based on Eq. (3):

Synchrotron-based X-ray fluorescence microscopy (XFM)
XFM was used to map and quantify the infiltration of organosilicon compounds in the wood cell walls of archeological oak wood.Because XFM can simultaneously map multiple elements, the presence of elements between Mg and Zn on the periodic table was also investigated in the archeological wood structure since the presence of some elements (especially Fe and S) can be problematic from the conservation perspective (Fors and Sandström 2006;Lindfors et al. 2008;Broda and Hill 2021;Rémazeilles et al. 2021).The XFM was performed at beamline 2-ID-E at the Advanced Photon Source synchrotron at Argonne National Laboratory in Argonne, IL, USA, following the previously described protocols for wood (Jakes et al. 2015(Jakes et al. , 2019;;Kirker et al. 2017).
For specimen preparation, three small blocks of each treatment with dimensions of about 5 × 5 × 8 mm (radial × tangential × longitudinal direction) were cut from previously prepared wood samples and bonded to small steel disks with a 5-min epoxy (Fig. 2).Then, 2-µm-thick transverse wood sections were cut using a Leica EM UC7 ultramicrotome (Wetzlar, Germany) equipped with a diamond knife, placed between two Norcada 200-nm-thick silicon nitride windows (Edmonton, AB, Canada), and mounted on the APS 2-ID-E beamline aluminum stick sample holder.The specimen was tilted 15° toward fluorescence 1 3 Wood Science and Technology ( 2023) 57:1277-1298 detector Vortex ® -ME4, mounted perpendicular to the incident beam, to reduce the self-absorption effect of fluoresced photons.The beam had incident energy of 10.2 keV and was focused with a zone plate to a spot size of approximately 0.5 µm full width at half maximum (FWHM) in the vertical and 0.6 μm FWHM in the horizontal.Submicron spatial resolution elemental maps were built by a raster scanning the focused X-ray beam across the section using 0.5 μm step sizes and 50 ms dwell time.For each treatment, a total of three sections measuring about 200 μm on a side were mapped, with one section coming from each of the three blocks prepared for each treatment.
The MAPS software package was used to create quantified elemental maps by fitting full spectra to modified Gaussian peaks, iteratively calculating and subtracting the background, and comparing the results to standard reference materials (RF4-100-S1749, AXO DRESDEN GmbH, Heidenau, Germany) (Vogt 2003).Data analysis and Si quantification were performed using the Fiji image processing package (Schindelin et al. 2012) and 32-bit tiff XFM images exported from MAPS.To improve visualization of XFM images, a Gaussian blur (sigma (radius) = 1) filter was applied.
To quantify the amount of Si in the wood cell walls, masks that only contained well-defined cell wall material were manually made using Fiji and XFM maps that clearly displayed the cell walls.The masks were then applied to the Si XFM map to determine the average Si intensity in the cell wall material for each section.The mass of organosilicon that infiltrated the cell wall (organosilicon gain per cell wall volume (OG CW ) was calculated using the quantified Si intensity, known section thickness, and organosilicon molecular formula.Estimated cell wall weight percent gain (WPG CW ) was also calculated using the mass of organosilicon calculated from XFM analysis and assuming an average value of the cell wall density as 1.45 g cm −3 .

Nanoindentation
Nanoindentation was performed in the same wood cells of latewood imaged by XFM by testing the wood cell walls remaining in the wood block after the XFM section was removed (Fig. 2).This allowed a direct comparison between the amount of organosilicon that infiltrated the cell wall and its effect on the cell wall's mechanical properties, similar to previous studies on Br-labeled phenol formaldehyde adhesive infiltration into wood cell walls (Jakes et al. 2015(Jakes et al. , 2019)).After removing the twoμm-thick XFM section, the surface remaining on the block had some knife marks.Ultrasmooth nanoindentation surfaces in the transverse plane were prepared using a Leica EM UC7 ultramicrotome (Wetzlar, Germany) equipped with a diamond knife (Jakes et al. 2008(Jakes et al. , 2015)).The ultrasmooth surface was obtained by removing thinner 200-nm-thick sections from the surface.Nanoindentations were placed on the S2 secondary cell wall layers of the selected cells in the blocks from which the XFM sections were cut.More details about the preparation of nanoindentation surfaces have been described by Jakes and Stone (2021).
A Bruker-Hysitron (Minneapolis, Minnesota, USA) TriboIndenter ® , equipped with a Berkovich probe, was used for the measurements.The machine compliance, probe area function, and tip roundness effects were determined from a series of 80 nanoindentations in a fused silica standard using the load function and procedures described before (Stone et al. 1991;Jakes 2018).Following the calibration reporting procedure prescribed in Jakes (2018): Values for the square root of the Joslin-Oliver parameter of 1.222 ± 0.002 µm/N1/2, the elastic modulus of 71.9 ± 0.2 GPa, and Meyer's hardness of 9.20 ± 0.03 GPa (uncertainties are standard errors) were assessed for fused silica calibration nanoindentations with contact depths between 28 and 193 nm; no systematic variations of machine compliance or Joslin-Oliver parameter were observed in the systematic SYS plot analysis over this range of contact depths.
The relative humidity (RH) inside the nanoindentation enclosure was controlled at 50 ± 1% RH using an InstruQuest (Coconut Creek, Florida, USA) HumiSys™ HF RH generator.Specimens were conditioned inside the nanoindenter enclosure at least 48 h before experiments, and the RH was maintained during experiments.The temperature inside of the enclosure varied with the laboratory temperature and was measured between 23 and 30 °C during the experiments.The calibration of the temperature and RH sensor inside of the nanoindentation enclosure was verified using a Control Company (Webster, TX, USA) 4085 Traceable ® Hygrometer Thermometer Dew Point Meter.
The Meyer hardness (H) and nanoindentation elastic modulus (E s

NI
) were assessed in the S2 layer using the nanoindentation protocols and analyses given in Jakes and Stone (2021).These protocols and analyses were developed to minimize effects on the H and E s NI from surface detection errors, structural compliances arising from nearby free edges and cellular flexing (Jakes et al. 2008(Jakes et al. , 2009)), dirty probes, displacement drift, and nanoindenter calibration or performance issues.The multiload load function described in Jakes and Stone (2021) was used in this study with a maximum load of 0.45 mN.Three blocks for each treatment were tested for a total of 12 blocks.In each wood block, at least 20 nanoindentations were placed 1 3 Wood Science and Technology (2023) 57:1277-1298 in the S2 layer of a minimum of six different fiber cells.The H and E s NI were calculated for each unloading segment in the multiload nanoindentations.Then, following established protocols (Jakes and Stone 2021), the H and E s NI were calculated for each appropriate unloading segment in the multiload nanoindentations.No data exhibited any systematic size dependence.Therefore, for each treatment, all results from each unloading segment were averaged and used to calculate standard deviations and standard errors.

The effect of organosilicon treatment on dimensional stability of archeological oak wood
The level of organosilicon impregnation applied on archeological oak wood expressed as bulk wood weight percent gain (WPG BW ) is presented in Table 1.Treatment with MTMS had the lowest WPG BW of about 20%, while treatments with MPTMS and DEAPTMDS were more effective, reaching the WPG BW values of about 30%.The WPG BW values obtained seem typical for organosilicon treatment of well-preserved archeological oak, resulting from its low permeability (Broda et al. 2019c).For comparison, WPG values for more permeable moderately degraded pine wood were 43%, 58%, and 59% for MTMS, MPTMS, and DEAPTMDS, respectively (Broda and Plaza 2023).
Organosilicon retention in the wood structure increased its bulk density from 0.46 g cm −3 for untreated samples to about 0.6 g cm −3 for treated specimens (Table 1).All these translated into increased dimensional stability of archeological oak during drying.Volumetric wood shrinkage decreased from about 6.5% for untreated wood (Oc) to about 4% for MPTMS-treated samples (O2) and 2.5-2.9% for MTMS-and DEAPTMDS-treated ones (O1 and O3, respectively).Based on these results, the highest anti-shrink efficiency was calculated for the treatment with MTMS and DEAPTMDS, reaching 55-61%, while for MPTMS, it was only 36% (Table 1).The result obtained for MTMS treatment is in line with our previously reported data for similarly well-preserved waterlogged oak heartwood excavated from the sediments of Lednica Lake, where the anti-shrink efficiency coefficient for MTMS was about 62% (Broda et al. 2019a;c).However, when highly degraded waterlogged elm wood, which had a 48% volumetric shrinking for the control, was treated with MTMS, MPTMS, and DEAPTMDS, the highest ASE value was obtained for MPTMS, then DEAPTMDS and MTMS reaching 98%, 89.5%, and 80.5%, respectively (Broda et al. 2019b).In this respect, the MPTMS ASE value for oak excavated from the ground that was almost two times lower than that for MTMS or DEAPTMDS (Table 1) contradicts results in other types of wood.This suggests that the effectiveness of organosilicons in stabilizing wood dimensions considered as ASE depends not only on the chemical structure of the chemical applied but also on the degree of degradation/anatomical features of the treated wood.On the other hand, when considering this from the performance aspect and the final value of wood shrinkage achieved, the treatments with organosilicons were as or more effective on archeological oak than the highly degraded waterlogged elm.

Mapping of selected elements using an XFM technique
The elements identified from observable peaks in the integral XFM spectra for the untreated archeological oak sample were Si, S, Cl, Ar, Ca, Cr, Mn, Fe, Cu, and Zn (Fig. 3).Argon is a gas that originated from contamination in the air that also produced a Si escape peak (Si is escaping from the detector material itself).
The XFM maps in Fig. 4 reveal the distribution of the elements in an untreated sample.The Ca, Fe, and S are distributed throughout the wood structure and can be used to visualize cellular-scale features like wood secondary cell walls, compound middle lamellae, and lumina.Cl, Cu, Cr, Mn, and Zn are present mainly in localized concentrations or hotspots.Fe ions are visible mainly in the cell lumina and inside ray cells (higher intensity areas in Fig. 4b), with a lesser amount in the cell walls.In turn, Ca and S ions are partly located in the cell lumina and also throughout the secondary cell walls and compound middle lamellae, with higher intensity in the compound middle lamella (Fig. 4a, c).There is likely lower intensity in the secondary cell wall because a substantial volume of the secondary cell wall is occupied by highly ordered cellulose fibrils that are inaccessible to the Most of the Si signal visible in the maps (Fig. 4d) came from SiN windows used as sample holders in the experiment.The high Si intensity from the SiN window can be observed throughout the map, even in the areas surrounding the sample.There is an expected lower Si intensity where the wood section is (Fig. 4d).The lower Si intensity results from partial absorption by the wood section of the fluoresced photons from the Si in the SiN window behind the wood section.The Si Kα fluoresced photon has a 1.84 keV energy.Assuming a twoμm-thick wood cell wall with a density of 1.5 g cm −3 and average C 4 H 10 O 3 molecular formula, about 15% of the Si Kα photons fluoresced from the back window would be expected to be absorbed by the wood section (Henke et al. 1993).Therefore, the observed lower Si intensity was expected for the areas with the wood sections.What was unexpected was that the lower Si intensity was not simply bounded by the outline of the wood section.As observed in Fig. 4d, the Si intensity had a shadow effect in which the intensity was often lower to the left outside of the white section outline.And even within the section outline, the Si intensity was nonuniform.A closer examination of the sandwiched section after XFM revealed that the section was not flat and was still curled.Evidently, the mechanical rigidity of these 200-nm-thick silicon nitride windows was not large enough to completely flatten these sections.We suspect that the shadow effect and nonuniformity in the Si map were caused by the curl and the 15° angle at which the specimen was held in the beamline.
Calcium and silicon are usually among the most abundant elements in archeological wood excavated from both water bodies and soil (Fors and Sandström 2006;Rémazeilles et al. 2013;Broda and Frankowski 2017;Balzano et al. 2022).Their presence indicates the beginning of the fossilization processes due to the accumulation of mineral compounds such as calcium carbonate (CaCO 3 ) and silicates (SiO 2 ) from water that penetrated wood tissue (Schweingruber and Börner 2018).In our samples, Ca ions are more abundant than Si, which may reflect the local geological characteristics of the place where the wooden remains were discovered, or the smaller particles of silicates were first accumulated and then leached out from wood by groundwater flowing through it.
Iron and sulfur are also commonly found in archeological wood, particularly when waterlogged (Fors and Sandström 2006;Rémazeilles et al. 2013Rémazeilles et al. , 2019;;Fors et al. 2014;Broda and Frankowski 2017;Björdal and Fors 2019;Balzano et al. 2022).Sulfur is naturally present in various environments and originates from degraded organic matter or compounds released by man (Brown 1982).Except for natural sources and manufactured pollutants, iron associated with wooden archeological artifacts (e.g., shipwrecks or bridge remains) mainly comes from corroding nails, bolts, and other construction elements, as well as from weapons (Fors et al. 2014;Broda and Frankowski 2017;Balzano et al. 2022).Exceptionally high iron concentrations are usually found in archeological oak wood due to the high tannin content.Tannins react with iron and form stable insoluble chemical compounds that accumulate inside the wood and turn its color into black or dark brown (so-called black oak) (Pecoraro et al. 2022;Henrik-Klemens et al. 2022).Waterlogged anoxic conditions rich in sulfur, where waterlogged wooden artifacts are often buried, facilitate the activity of sulfate-reducing bacteria that compete with other anaerobes and facultative anaerobes, including wood-degrading soft-rot and erosion bacteria and produce vast amounts of H 2 S (Muyzer and Stams 2008;Björdal and Fors 2019).In the iron-rich environment, H 2 S reacts with Fe 2+ producing various iron sulfides (Monachon et al. 2020), which can crystallize and accumulate in wood, causing further mechanical damage (Wetherall et al. 2008;Balzano et al. 2022).Iron and sulfur compounds can also contribute to the degradation of conservation agents used for archeological wood conservation, such as polyethylene glycol (PEG), causing further wood chemical degradation (Fors and Sandström 2006).
Cl, Cu, Cr, Mn, and Zn ions are usually present in contemporary and archeological wood, resulting from natural environmental processes and human activity, including industrial development (Broda and Frankowski 2017).If they are present in archeological wood in higher concentrations, they can affect the effectiveness of the conservation treatment by decreasing wood permeability.

Si mapping using X-ray fluorescence microscopy
Analysis of Si XFM maps enabled observations of the distribution of organosilicons within the treated wood structure.As seen in Fig. 5, Fe maps clearly highlighted the cellular wood structure making visualization of features like 1 3 Wood Science and Technology (2023) 57:1277-1298 cell walls and lumina possible.In control, MTMS-, and MPTMS-treated sections, most lumina have Fe, which likely suggests these lumina were filled with sediment.Obvious Si hot spots are visible in samples treated with MTMS and MPTMS (Fig. 5f,g,respectively).The hotspots are present in the cell lumina and other open areas in the cellular structure, which indicates that the organosilicons flowed into these wood cavities and likely cured there.Compared to the Fe maps (Fig. 5a-d), it is harder to distinguish the cell walls in the Si maps (Fig. 5e-h).No cell wall features are evident in the Si map of the control sample (Fig. 5e), which suggests that the untreated wood does not have a substantial amount of Si and that the Si signals visible in this map come from a SiN window used as a sample holder in the experiment.
In contrast, cell wall features can be distinguished in Si maps of the organosilicon-treated wood (Fig. 5f-h).This clearly indicates that Si was introduced during treatment and that the treatment process distributed organosilicons throughout the whole wood structure.In the sections with sediment-filled lumina (Fig. 5f, g), the Si intensity seems to be slightly higher in the lumina than the cell walls, suggesting there was more space for the organosilicons to infiltrate the sediment than the cell walls.In the DEAPTDMS-treated specimen, which had larger empty lumina, Si intensity is higher in the cell wall than the lumina, which clearly indicates organosilicon infiltrated the cell walls.Si ions also seem more abundant in visibly more degraded early wood cells (in the bottom right corner in Fig. 5g, h).
From visual observation of XFM maps, it was not possible to conclusively quantify differences in Si content for the different cell walls.To aid in quantification, masks were created (Fig. 5i-l) that only included well-defined cell wall material.Masked Si maps (Fig. 5m-p) enabled the quantification of Si content in cell walls.The results are presented in Table 2 and include the averages of the three sections for each treatment.
An increase in Si content in treated cell walls is evident in the average Si intensity (Table 2), varying between the types of organosilicon compounds used.A few assumptions will need to be made to use these measured intensity increases to quantify the amount of infiltrated organosilicon.The Si intensity increased by 1.5 to 2.1 µg cm −2 after treatment.These increases are only a small fraction of the total Si intensity because most of the Si intensity arises from the silicon nitride windows.Therefore, to quantify the organosilicon in the cell wall, it was first assumed that the increase in Si compared to Oc is entirely from the organosilicon in the cell wall.The nonuniformity and shadow effect, as observed in Fig. 4d, also manifested with similar magnitudes of intensity changes.All the sections had similar shadow effects and nonuniformity in their Si maps.The second assumption was that the shadow effect and nonuniformities averaged themselves out over all the specimens, and the observed increases in the treated specimens were from the organosilicon infiltration.The cell wall features distinguished in Si maps of the organosilicon-treated wood (Fig. 5f-h) support that the organosilicon is indeed infiltrating the cell walls, and the quantified Si intensity increases are real.

Sample
Si intensity a (µg cm −2 ) OG CW a (g cm respectively), the highest number of molecules that infiltrated the cell wall was obtained for MTMS-treated wood (290 micromoles per cm −3 of the sample), and the lowest for DEAPTMDS-treated samples (180 micromoles per cm −3 ).For MPTMS treatment, it was 260 micromoles per cm 3 .It is evident that the cell wall weight percent gain (WPG CW ) is significantly lower than bulk wood weight percent gain (WPG BW ), constituting about 11-12% of its value for MTMS-and MPTS-treated wood and 21% for that DEAPTMDS-treated.This indicates that only part of the applied organosilicon compounds infiltrated the well-defined cell walls that were included in the masks.Based on these results and considering the Si maps of treated samples presented in Fig. 5f-h, it can be stated that organosilicon treatment both infiltrated into the cell walls and flowed into lumina, which fits into mixed Norimoto models A2, A3, and A5 (Fig. 1).
For chemical modifications that infiltrate the cell walls, the effect on moisture update and swelling is controlled more by the volume of the modifying chemicals deposited in the cell wall (bulking) and not the substitution of the hydroxyl groups by chemical modification (Rowell et al. 1986;Papadopoulos and Hill 2003).In our study, we can observe that the order of magnitudes (i.e., a few percent) of the WPG CW (Table 2) for treated samples is similar to the decrease in wood shrinkage due to the treatment (Table 1).It suggests that the WPG CW gives an indication of how much space in the cell wall the modifying chemical occupies, thereby decreasing the amount of water that can be absorbed.It would be the opposite for shrinkage-in the case of waterlogged wood, the replacement of water molecules by chemicals would prevent wood shrinkage because the chemicals would not evaporate.

Nanoindentation
Nanoindentation enabled the measurement of H and E s NI of the S2 secondary cell wall layer of untreated and treated archeological oak latewood in the longitudinal direction.From the results presented in  Based on the nanoindentation results, it seems that at least part of the stabilization effect of organosilicons on wood comes from the reinforcement of the cell wall due to its infiltration.However, the highest H obtained for MPTMS treatment does not correlate with its lowest stabilization effect (ASE of only 36% vs. 55% and 61% for the other organosilicons used), which suggests the involvement of some other factors.On the other hand, it should be remembered that the archeological wood used in the study was only slightly degraded (with a loss of wood substance of only about 10%), and although the ASE values were high, the differences in the actual shrinkage between control and treated samples were not very big, ranging of only a few percent (6.5% for control vs. 2.5-4.2% for treated wood).
Regarding the not obvious correlation between improved wood dimensional stability and infiltration and reinforcement of cell walls by organosilicons, it could be hypothesized that filling the cell lumina with the applied chemicals, as seen in Fig. 5f, g, may play a role in stabilizing wood dimensions.For recent undegraded wood treated with various chemicals, it is believed that dimensional stabilization results mainly from cell wall infiltration (bulking) by low-molecular-weight chemicals (plus the formation of polymer network inside the cell wall structure or interactions between chemicals and wood polymers) and that high-molecular-weight ones that cannot penetrate the cell wall and only fill cell lumina only negligibly contribute to dimensional stabilization (Furuno et al. 2004;Ermeydan et al. 2012Ermeydan et al. , 2014;;Keplinger et al. 2015;Jakes et al. 2015).However, the conservation treatment of degraded waterlogged archeological wood resulting in dimensional wood stabilization often also involves filling the cell lumina with an applied agent, particularly when high-molecular weight chemicals such as PEG are used (Hoffmann et al. 2004;Bugani et al. 2009;Giachi et al. 2011;Vorobyev et al. 2017;Nguyen et al. 2018).Filling the lumina and other micrometer-sized voids in degraded wood likely prevents the cellular structure from collapsing on itself during drying.Based on these, it can be assumed that the mechanism of archeological wood dimensional stabilization by organosilicon treatment is complex and involves both cell wall infiltration resulting in its reinforcement and filling cell lumina.Since dimensional wood stabilization by organosilicons involves the cell wall infiltration and not necessarily filling the lumina, the weight of the treated wooden artifacts will be lower compared to wood treated with chemicals that fill cell lumina, so its deformation under its own weight will be less likely when displayed in the museum, which is beneficial from the conservation perspective.
It is worth mentioning that the organosilicon infiltration did not plasticize the cell wall substantially.Perhaps it was because of the relatively low WPG due to the low permeability of well-preserved wood, and the effect will increase with much higher WPG that was observed for heavily degraded wood (Broda et al. 2020).Previously 1 3 Wood Science and Technology (2023) 57:1277-1298 the plasticizing effect of organosilicons was observed in dynamic mechanical analysis (DMA) of bulk specimens (Broda et al. 2021).This method does not address the cell wall properties very well because of the cellular-scale damage in the bulk samples, and the difference between DMA and nanoindentation results concerning plasticizing effect may result from differences in the size scale of the measurement.From this perspective, nanoindentation is needed to actually study the effects of the treatment on wood cell wall material properties.

Conclusion
This research aimed to determine the mechanism of dimensional stabilization of archeological wood by organosilicon compounds using the complementary techniques of synchrotron-based X-ray fluorescence microscopy and nanoindentation.
The combined results of XFM and nanoindentation revealed that part of the organosilicon compounds used for wood treatment infiltrated cell walls enhancing their mechanical properties, and the observed reinforcement of the treated cell wall certainly contributes to dimensional wood stabilization achieved through impregnation with organosilicons.However, because the correlation between the cell wall properties and dimensional stability is not apparent, it indicates the involvement of some other factors like cell wall bulking.XFM results showed that the organosilicon compounds also partially or fully filled some cell lumina, which suggests that organosilicon treatment fits into mixed Norimoto models: A2-infiltration of the cell wall by chemicals, A3-infiltration of the cell wall and partial filling of the cell lumen by chemicals, and A5-both infiltration of the cell wall and complete filling of the lumen by chemicals.
Based on the above and regarding our earlier studies on the interactions between organosilicon compounds and wood polymers, it can be assumed that the mechanism of archeological wood dimensional stabilization by organosilicon treatment is complex and involves chemical interactions between wood and chemicals, and both cell wall infiltration resulting in its reinforcement and filling cell lumina.
Additionally, considering the ASE values and much poorer stabilizing effectiveness of (3-Mercaptopropyl)trimethoxysilane obtained in the study compared to our previous research on severely degraded elm wood, it can be stated that the stabilizing effectiveness of organosilicon compounds depends not only on the chemical structure of the chemical applied but also on the degree of degradation and anatomical features of the treated wood.

Fig. 2
Fig. 2 Experiment scheme including sample preparation for XFM analysis and nanoindentation

Fig. 3
Fig. 3 An integral XFM spectral plot identifying individual elements present in a representative untreated oak wood sample

Fig. 4
Fig. 4 XFM maps showing localization of the most abundant elements in the untreated archeological oak wood structure: Ca, Fe, S, Cl, Cu, Cr, Mn, and Zn.Outlines in the bottom two rows were obtained from a qualitative thresholding of the Ca map.Arrows point to exemplary hot spots of Cl, Cu, Cr, Mn, and Zn ions in the wood sample

Table 3 ,
untreated wood had the lowest E s

Table 3
Nanoindentation elastic modulus (E s N-number of multiload nanoindentations, n-number of unloading segments analyzed, Std.dev.-standard deviation, Std.er.-standard error Standard errors represent the precisions of the measurements and are included to aid in determining differences between samples MPTMS, and DEAPTMDS, respectively.However, they had a different effect on cell wall H. MTMS, and MPTMS increased H by almost 5% and 16%, respectively, while DEAPTMDS reduced cell wall H by about 4%.The changes in cell wall mechanical properties with treatment further support that the applied organosilicons infiltrated the cell walls.