Element Composition of Fractionated Water-Extractable Soil Colloidal Particles Separated by Track-Etched Membranes

: Membrane fractionation with track-etched membranes was used to size-proﬁle the mi-croelement composition of water-extractable soil colloids (WESCs). The aim of the study is the element composition of narrow WESC fractions of typical chernozems in the range of 0.01–10 µ m. Micro-/ultraﬁltration through a cascade of track-etched polycarbonate membrane ﬁlters with pore sizes of 5, 2, 1, 0.8, 0.4, 0.2, 0.1, 0.05, 0.03, and 0.01 µ m at room temperature was used. ICP–AES using direct spraying of obtained fractions without decomposition was used; Al, Ba, Cd, Cr, Cu, Fe, Mn, Si, Sr, Ti, Zn, Ca, K, Mg, Na, P, and S were found. Narrow WESC fractions differ signiﬁcantly. For macro-and microelements, maximum amounts of Si, Al, Fe, and Ti and their maximum percentages are observed in fractions with sizes above 1 µ m, while Ca, Mg, Mn, Cu, Zn, K, and S are accumulated more in fractions with sizes below 1 µ m. The developed approach provides preparative isolation of a detailed set of narrow WESC fractions in the micrometer–nanometer range. This provides element soil proﬁles that reveal distinct differences and the individual character of each fraction as well as trends in changes in the mineral matrix and microelement composition with fraction size.


Introduction
The circulation of soil particles on surfaces, in ground waters, and in soils depends on their size [1,2].The study of the composition and properties of soil colloids has almost a century of history, which is associated with their active participation in soil-forming processes and the formation of a soil absorbing complex [3,4].Colloids are considered particles with sizes of ca. 1 nm to 1-2 µm [5,6], i.e., the silty fraction of soils, sometimes including fine dust particles up to 10 µm [7,8].They consist of substances of inorganic, organic, and organo-clay nature [9,10] and are frequently considered particulate soil organic matter (SOM) [11].These colloids show large specific surface areas and high sorption capacities and migration activities, which lead to their transfer from the soil profile to adjacent environments, groundwater, and other natural waters.Adsorbed inorganic (heavy metals, phosphates) [12,13] and organic (pesticides, PAHs, etc.) contaminants [14] may thus be transported over long distances, spreading pollutants in soil and aqueous media and increasing or minimizing environmental risks, depending on the material composition and colloids and their affinity for pollutants [7,15].
A broad range of particle sizes of the colloidal fraction (1 nm-1 or 10 µm) includes subfractions of particles of different mineralogical and chemical compositions, which also differ in their sorption capacity and migration activity [16][17][18].All this necessitates a detailed study of the composition of such subfractions of migratory-active particles that readily turn into aqueous extracts.Due to the complex composition of the colloidal fraction, it becomes necessary to develop the methodology, including methods for sample preparation and data processing.There are two main approaches to studying these natural disperse systems [19], which show both the heterogeneity of the chemical composition at the molecular level and the complexity of the structure at the macroscopic scale: the system can be considered either as a chemical continuum or a mixture of various components that can be separated (fractionated) and studied separately.
Thus, techniques such as sieve analysis, microfiltration, and variations of microscopic methods are used to analyze particulate SOM [11,20].These methods allow one to study particles up to 500 µm.For dissolved SOM, methods such as dialysis [21,22], ultra-and nanofiltration, reverse osmosis [23], and high-performance gel-permeation and size exclusion chromatography [24,25] can be used.The mineral part is often analyzed using methods such as atomic emission or IR spectroscopies [26].
Among these methods, membrane filtration is technically simplest; however, it is an effective approach.Filtration through membranes with a pore size of 0.22 or 0.45 µm has long been used to isolate particulate SOM, so-called water-extractable soil colloids (WESCs).However, there are almost no studies using a broad range of membranes with different pore sizes for separating and concentrating WESC fractions.
Track-etched membranes are of particular interest for solving this problem.The use of this membrane type goes back to the 1970s [27,28].The use and fabrication of tracketched membranes for fine fractionation became widespread in the 1990s [29,30].Among the advantages of this technique are higher extraction values of dissolved organic matter compared with other fractionation methods [31], no complex sample preparation, ease of use in many respects, and a broad range of membranes with different pore sizes.At the same time, it is noted [32] that one of the main disadvantages of membrane filtration is significant differences in the extraction of organic matter when using different ultrafiltration systems and experimental conditions.However, this type of membrane is rarely applied to SOM; in a recent review [33], only 1 out of 30 papers [34] used polycarbonate track-etched membranes to remove organic matter in the process of water purification due to a hybrid process of electrocoagulation and dead-end microfiltration.
This work is aimed at assessing the possibility of separating the water-extractable part of soil colloids using a broad-range set of membrane filters with pore sizes of 0.01 to 10 µm, concentrating narrow fractions, the efficiency and reproducibility of such separation based on atomic emission spectrometry using polycarbonate membrane filters, as well as assessing the composition and role of the selected fractions in the total pool of water-extractable soil colloids.
a stainless-steel frit and funnel (Rocker Scientific Co., Ltd., Kaohsiung, Taiwan); the other had a porous glass filter, glass funnel, and an aluminum clamp (Borosil Ltd., Mumbai, India).Filtration was performed using a Rocker 410 oil-free vacuum pump (Rocker Scientific Co., Ltd., Kaohsiung, Taiwan).
An AS 200 sieving machine (Retsch, Haan, Germany) with sieves of 40, 20, 10, and 5 µm (Precision Eforming LLC., Cortland, NY, USA) was used for preliminary sieving of soil samples (Figure S1, Supplementary Information).After the initial sieving at an amplitude of 0.85 mm (time, 5 min), the set of sieves was washed with 50 mL of deionized water and the sample was sieved for another 5 min at the same amplitude.

ICP-AES Measurements
For element analysis of the size fractions, an axial ICP-OES 720-ES instrument (Agilent Technologies, Santa Clara, CA, USA) was used.The spectrometer was equipped with an SPS3 autosampler (Agilent Technologies, Santa Clara, CA, USA), a low-flow axial quartz torch with a 2.4 mm inner diameter injector tube, a double-pass glass cyclonic spray chamber, a polypropylene pneumatic nebulizer (OneNeb, Agilent Technologies, Santa Clara, CA, USA), and a Trident Internal Standard Kit (Glass Expansion, Pocasset, MA, USA).A peristaltic pump used a white/white PVC pump tube for feeding and a blue/blue one for the drain.The measurement parameters are summed up in Table 1.Emission lines from Table S1 (Supplementary Information) were used for measurements.All lines were measured simultaneously (a MultiCal mode).Results were collected and processed using ICP Expert software 2.0.5 (Agilent Technologies, Santa Clara, CA, USA).Linear or quadratic functions were used for calibration.An AS 200 sieving machine (Retsch, Haan, Germany) with sieves of 40, 20, 10, and 5 µm (Precision Eforming LLC., Cortland, NY, USA) was used for preliminary sieving of soil samples (Figure S1, Supplementary Information).After the initial sieving at an amplitude of 0.85 mm (time, 5 min), the set of sieves was washed with 50 mL of deionized water and the sample was sieved for another 5 min at the same amplitude.

ICP-AES Measurements
For element analysis of the size fractions, an axial ICP-OES 720-ES instrument (Agilent Technologies, Santa Clara, CA, USA) was used.The spectrometer was equipped with an SPS3 autosampler (Agilent Technologies, Santa Clara, CA, USA), a low-flow axial quartz torch with a 2.4 mm inner diameter injector tube, a double-pass glass cyclonic spray chamber, a polypropylene pneumatic nebulizer (OneNeb, Agilent Technologies, Santa Clara, CA, USA), and a Trident Internal Standard Kit (Glass Expansion, Pocasset, MA, USA).A peristaltic pump used a white/white PVC pump tube for feeding and a blue/blue one for the drain.The measurement parameters are summed up in Table 1.Emission lines from Table S1 (Supplementary Information) were used for measurements.All lines were measured simultaneously (a MultiCal mode).Results were collected and processed using ICP Expert software 2.0.5 (Agilent Technologies, Santa Clara, CA, USA).Linear or quadratic functions were used for calibration.A multielement standard solution of 24 elements; ICP-AM-6 (Ag, Al, Sb, Ba, Be, B, Cd, Ca, Cr, Co, Cu, Fe, Pb,100, Li, Mg, Mn, Ni, K, Si, Na, Sr, Tl, V, and Zn) with a concentration of each element of 100 mg/L (High-Purity Standards, North Charleston, SC, USA); a multielement standard solution of 4 elements; ICP-AM-15 (Na, K, Ca, Mg) with a concentration of each element of 10,000 mg/L (High-Purity Standards); single element standard solutions of P, S, and Si with concentrations of 1000 mg/L (Inorganic Ventures, Christiansburg, VA, USA); and single element standard solution of Fe with concentrations of 10,000 mg/L (High-Purity Standards) were used for calibration.Concentration ranges of elements in the calibration solutions were 0.04-20 mg/L for Ag, Al, As, B, Ba, Be, Cd, Co, Cr, Cu, Li, Mn, Mo, Ni, Pb, Sb, Se, Sn, Sr, Ti, V, W, and Zn; 0.04-400 mg/L for Ca, Fe, K, Mg, and Na; 0.4-200 mg/L for P and S; and 10-200 mg/L for Si.A scandium standard solution (10,000 mg/L; Inorganic Ventures, Christiansburg, VA, USA) was used as an internal standard (20 mg/L).Nitric acid (69%, PA-ACS-ISO grade, Panreac, Barcelona, Spain) was used as a diluent for calibration standards.

Procedures 2.4.1. Membrane Leaching
Using a system consisting of a Bunsen flask, a special funnel, and a water jet pump, 250 mL of deionized water for membranes with a pore size of 1 µm and 150 mL for a membrane of 0.01 µm (due to the time of the filtration process) were passed through track polycarbonate membranes.Then, membranes were subjected to a procedure similar to washing off particles during cascade filtration: The membrane was placed in a clean beaker, 10 mL of deionized water was added to it, then the membrane was exposed to ultrasound for 3 min at the lowest possible power of the ultrasonic bath, after which the liquid was transferred into a volumetric flask of 25.00 mL.Two portions of deionized water (7-10 mL) were again added to the membrane in succession, and the process of exposure to ultrasound was repeated; then, the volume of the flask was adjusted to the mark with a washing solution or deionized water.The resulting fractions were transferred to 100 mL flasks, stored at +4 • C, and then analyzed.

Extraction of the Colloidal Fraction
For a cold extract, a 40 g sample of chernozem, previously ground in a jasper mortar, was placed in a 700 mL Erlenmeyer flask.Then, 400 mL of deionized water at room temperature (1 g soil per 10 mL of deionized water) was added [1].The resulting suspension was shaken with a laboratory shaker for 1 h [37] and then left for 30 min.

Washing from Membranes
To wash off particles concentrated on the membrane due to filtration, it was placed in a clean beaker and 8 mL of deionized water was added.Then, particles were washed off using an ultrasonic bath for 3 min at minimum power.Next, the suspension was transferred into a volumetric flask of 50.00 mL for a fraction of 2-5 µm or 25.00 mL for the rest.Two portions of deionized water (7-10 mL) were again added to the membrane in succession, and the process of washing off the particles was repeated; then, the volume was adjusted to the mark with a washing solution or deionized water.The following fractions were obtained: 2-5, 1-2, 0.8-1, 0.4-0.8,0.2-0.4,0.1-0.2,0.05-0.1,0.03-0.05,0.01-0.03,and <0.01 µm.The fractions were transferred into 100 mL vessels and stored at +4 • C.

Data Treatment
To compare the element contents in the obtained fractions, the concentrations were recalculated for the mass of the sample of soil.The recalculation of metal concentrations per soil sample is described in the Supplementary Information.
Simple correlation analysis was made using Origin Pro software (OriginLab, Northampton, MA, USA).Cluster and factor analyses of the distribution of the molar content of elements were made using Statistica 13.5 software (Tibco, Palo Alto, CA, USA).The distribution of the fractional content of elements in the fractions was analyzed: x m = a m /Σ(a 1 . ..a n ), where x m is the fraction of the element in the size fraction, a m is the element content in the fraction, and Σ(a 1 . ..a n ) is the total content of the element.

Results
In the first stage, the effects of the membrane material on the resulting fractions were studied, since, in addition to the main component (in this case, polycarbonate), a plasticizer and admixtures are present in the membranes.With ICP-AES, the content of elements was determined in wash water.All the elements that were then determined in fractions, Ag, Al, As, B, Ba, Be, Cd, Co, Cr, Cu, Fe, Li, Mn, Mo, Ni, Pb, Sb, Se, Si, Sn, Sr, Ti, Tl, V, W, Zn, Zr, Ca, K, Mg, Na, P, and S, were not detected at the level of 10 µg/L, which is the lower quantification limit for most of these elements by ICP-AES.Thus, the impact of membrane material can be considered insignificant for the results of this study.However, a procedure for washing with 100 mL of deionized water was used (Section 2.4.1) to warrant the absence of any contribution from membranes.
In the obtained narrow fractions, Al, Ba, Cd, Cr, Cu, Fe, Mn, Si, Sr, Ti, Zn, Ca, K, Mg, Na, P, and S were found.The content of other elements was below the detection limits.The sodium content in the fractions was primarily due to the addition of sodium azide as a preservative; therefore, Na was not measured.Thus, the following elements were considered: Al, Ba, Cd, Cr, Cu, Fe, Mn, Si, Sr, Ti, Zn, Ca, K, Mg, P, and S. From the correlation map (Figure 2), the detected elements can be divided into four sets by the correlation coefficients with Si (silicate): 1.
Si, Al, and Fe as silicate matrix elements and Ti and Mn with correlation coefficients with Si, Al, and Fe above 0.9.The elements of this set are shaded in magenta (Figure 2). 2.
Ca and S (as other main elements), and Cd and also Cr, with strongly negative correlation coefficients with the matrix elements of Set 1 and shaded blue (Figure 2).

3.
Mg, Sr, K, and P, and also Ba, showing high correlation coefficients within the group, correlation coefficients with Set 1 over 0.5, and shaded violet (Figure 2). 4.
Cu and Zn showing a good correlation between one another and very low correlation coefficients with other groups.The set is shaded yellow (Figure 2).
Element profiles as concentration vs. particle size are presented in Figures 3-6.The whole distribution of the studied elements is given in Figure 7. Molar ratios for the macroelements are summed up in Figure 8.The results of factor analysis of all the elements are shown in Figure 9.The whole profile of elements (Figure 7) shows that there are seven main elements in total with the concentrations in the majority of fractions above 5% w/w: Si, Al, Fe, Ca, S, Mg, and K.Among them, two elements predominate: calcium and silicon (Figure 7).According to Figure 2, these two elements show a rather strong negative correlation, which is due to the predominantly non-silicate, carbonate nature of calcium in chernozem soil.Because a sample of the upper layer was taken for analysis, carbonates are not crystallized or weakly crystallized, do not stand out morphologically, and exist mainly in the form of impregnation, i.e., they are associated with the readily soluble fine part.Silicon is predominant in particles larger than 1 µm, while calcium is predominant in particles below 1 µm.
Si, Al, Fe, Ca, S, Mg, and K.Among them, two elements predominate: calcium and silicon (Figure 7).According to Figure 2, these two elements show a rather strong negative correlation, which is due to the predominantly non-silicate, carbonate nature of calcium in chernozem soil.Because a sample of the upper layer was taken for analysis, carbonates are not crystallized or weakly crystallized, do not stand out morphologically, and exist mainly in the form of impregnation, i.e., they are associated with the readily soluble fine part.Silicon is predominant in particles larger than 1 µm, while calcium is predominant in particles below 1 µm.
The levels of potassium, sulfur, and phosphorus are almost the same for all fractions, while iron and aluminum contents obviously correlate with silicon.At the same time, the ratios do not fully correspond to the concentrations of these elements, and the amounts of both silicon and calcium differed for different size fractions: they both accumulate in the largest and smallest fractions (Figures 3 and 4), which correlates with the total amounts of elements in the studied range (Figure 10).Thus, all the fractions can be divided into the largest fraction of 5-10 µm; the final filtrate of ca.15% of the whole mass of elements; and the rest of fractions with approximately equal concentrations of 0.5-2% of the concentration in the largest fraction.It is worth mentioning that the total concentration of elements in the fractions from 1 µm to 0.01 µm does not depend on The levels of potassium, sulfur, and phosphorus are almost the same for all fractions, while iron and aluminum contents obviously correlate with silicon.
At the same time, the ratios do not fully correspond to the concentrations of these elements, and the amounts of both silicon and calcium differed for different size fractions: they both accumulate in the largest and smallest fractions (Figures 3 and 4), which correlates with the total amounts of elements in the studied range (Figure 10).Thus, all the fractions can be divided into the largest fraction of 5-10 µm; the final filtrate of ca.15% of the whole mass of elements; and the rest of fractions with approximately equal concentrations of 0.5-2% of the concentration in the largest fraction.It is worth mentioning that the total concentration of elements in the fractions from 1 µm to 0.01 µm does not depend on the particle size (Figure 10).

Interelement Correlations
As a whole, the division of the studied elements into four sets according to coefficient of correlations with Si as the matrix elements of the silicate-based chernozem soil has a rather obvious chemical meaning as Set 1 comprises elements that directly accompany Si in the matrix, while Set 3 has less directly related elements that are either hard Pearson's acids or phosphate (a hard Pearson's base).The softest acid, barium, shows less correlation with other elements, which makes barium an in-between element of Sets 3 and 4 (Figure 2).Additionally, chromium, which can also be considered an in-between element of Sets 3 and 4, shows not many correlations with other elements.Set 4 is centered around soft Pearson's acids, Cu and Zn, that form complexes with humic and fulvic acids [39][40][41][42].
On the contrary, Set 2 comprises calcium, one of the main elements of the profile, and total sulfur.Their negative correlations with silicate-matrix elements show that these are calcium-sulfate-based particles.Cadmium, belonging to this set according to correlation analysis, is most probably due to its affinity to sulfide species of sulfur.
Selected sets of elements agree with the results of the distribution of elements in river water studied using flow fractionation with an inductively coupled plasma mass spectrometric detector [43].The authors divided the studied elements into four groups: (1) dissolved simple anions, (2) elements mostly associated with WESCs of organic carbon, (3) elements mostly associated with iron-based colloidal particles (various iron, aluminum oxides), and (4) elements bonded by both carbon-based WESC particles and iron-based colloidal particles.At the same time, the first set of elements (Si, Al, Fe, Mg, Mn, Ti, as well as Ba) obtained in this work correlates with the third group in [43], Set 4 (Cu and Zn) with From the viewpoint of individual element mass distributions (Figures 3-6), all the fractions can also be divided into three parts: large fractions of 5-10 and 2-5 µm with the domination of silicate-based elements, small fractions from 1 µm to 0.01 µm with the domination of calcium and sulfur, and the fraction of 1-2 µm, which appears to be an average of the composition of the larger and smaller fractions.It is worth mentioning that this change in element distribution correlates well with the total amount of particles found in fractions.Also, all the elements of Sets 1 and 3 (except Ba) show a correlation (coefficient is no less than 0.8) of the concentration of the element and the total amount of elements in this fraction, while all the elements of Sets 2 and 4 show no correlation with the total amount of elements in this fraction.Also, the fraction of 0.03-0.05µm is different from both larger and smaller fractions, and shows high fractions of all the main elements, both silicate-and sulfate-based.The range of this fraction fits well with the boundary between particulate and dissolved SOM [38].

Interelement Correlations
As a whole, the division of the studied elements into four sets according to coefficient of correlations with Si as the matrix elements of the silicate-based chernozem soil has a rather obvious chemical meaning as Set 1 comprises elements that directly accompany Si in the matrix, while Set 3 has less directly related elements that are either hard Pearson's acids or phosphate (a hard Pearson's base).The softest acid, barium, shows less correlation with other elements, which makes barium an in-between element of Sets 3 and 4 (Figure 2).Additionally, chromium, which can also be considered an in-between element of Sets 3 and 4, shows not many correlations with other elements.Set 4 is centered around soft Pearson's acids, Cu and Zn, that form complexes with humic and fulvic acids [39][40][41][42].
On the contrary, Set 2 comprises calcium, one of the main elements of the profile, and total sulfur.Their negative correlations with silicate-matrix elements show that these are calcium-sulfate-based particles.Cadmium, belonging to this set according to correlation analysis, is most probably due to its affinity to sulfide species of sulfur.
Selected sets of elements agree with the results of the distribution of elements in river water studied using flow fractionation with an inductively coupled plasma mass spectrometric detector [43].The authors divided the studied elements into four groups: (1) dissolved simple anions, (2) elements mostly associated with WESCs of organic carbon, (3) elements mostly associated with iron-based colloidal particles (various iron, aluminum oxides), and (4) elements bonded by both carbon-based WESC particles and iron-based colloidal particles.At the same time, the first set of elements (Si, Al, Fe, Mg, Mn, Ti, as well as Ba) obtained in this work correlates with the third group in [43], Set 4 (Cu and Zn) with the second, and Set 3 (K and Cr) with the fourth group in [43].

Set 1: Silicon, Aluminum, Iron, Titanium, and Manganese
The elements of this set are closely related to each other; the correlation coefficients for any pair from this set except Mn are higher than 0.98.The correlation coefficient of the Al-Fe pair is especially distinguished (r Al-Fe = 0.998), which is expected to some extent since aluminum-and iron-bearing minerals often accompany each other in soils [44] due to the coexistence of minerals based on iron oxides, e.g., with kaolinite [45].
Silicon is an integral part of the mineral composition of chernozem.It is present in minerals such as smectite, illite, kaolinite, and other clay minerals [46].Silicon is predominant in large fractions only, namely 5-10 µm, 1130 ± 10 µg/g (Figure 7).For smaller particles, silicon concentration decreases and does not exceed 6 µg/g, with the exception of the final fraction of <0.01 µm, where its concentration increases to 34.1 ± 0.5 µg/g (Figure 3).
For aluminum, a profile of changes in a concentration almost identical to silicon is observed, r Al-Si = 0.989, since aluminum often accompanies silicon in various aluminosilicates [46].Like silicon, aluminum is present predominantly in large fractions (Figure 7).Thus, for a fraction of 5-10 µm, it is 300 ± 20 µg/g.As in the case of silicon, there is a significant decrease in the content of this metal with fraction size, and for fractions below 1 µm, it does not surpass 1 µg/g.It should be noted that along with aluminosilicates and other aluminum-containing minerals, aluminum can also be present in the form of Al 3+ and AlOH 2+ complexes with humic and fulvic acids in smaller fractions [47].
As in the case of aluminum and silicon, iron is associated with larger particles (Figure 3).Thus, the concentration of this metal for a fraction of 5-10 µm is 260 ± 10 µg/g for a fraction of 2-5 and 5.0 ± 0.2 µg/g for 1-2 µm.Then, the iron content drops almost tenfold to 19 ± 1 µg/g.For the remaining fractions, the Fe content does not exceed 1 µg/g (Figure 3).Titanium is most widely represented in soils by its oxide (rutile, anatase, or brookite) or ilmenite [48].
Very strong correlations of titanium with the matrix elements r Ti-Si = 0.992, r Ti-Al = 0.999, and r Ti-Fe = 0.998 can be explained by the presence of substituted aluminosilicates in the soil.For the most part, it is associated with particles larger than 2 µm (Figure 7).The maximum concentration of 19 ± 1 µg/g is observed for the largest fraction, but for other fractions, it does not exceed 0.05 µg/g (Figure 3).
For manganese, the pattern is similar to that of titanium (r Mn-Ti = 0.885).Manganese shows a strong correlation with the rest of the matrix elements, r Mn-Si = 0.923, r Mn-Al = 0.874, and r Mn-Fe = 0.889.As with the other elements of Set 1, manganese is associated for the most part with particles of 2-10 µm, with a maximum concentration of 5.5 ± 0.6 µg/g, while for particles less than 1 µm, its content is 0.01-0.1 µg/g, and for the smallest fraction, its concentration increases to 0.73 ± 0.09 µg/g.

Set 2: Calcium, Sulfur, Chromium, and Cadmium
This set opposes the elements of the first set-Si, Al, Fe, Ti, and Mn-and shows strong negative correlations with them (Figure 2).Apart from negative correlations with Set 1, calcium, cadmium, and sulfur show relatively weak but significant correlations between each other.
For all the fractions below 1 µm calcium is a dominating element (Figure 7) and the concentration of calcium is not below 10 µg/g (Figure 4).The profile for calcium is much flatter compared with the elements of the first set (compare Figures 3 and 4).The largest and smallest fractions show much higher concentrations of calcium of 200 µg/g.
Sulfur shows a rather good correlation with calcium (r Ca-S = 0.700) and also demonstrates a flat profile (Figure 4) at a level of 0.5-1.0µg/g.As for calcium, the smallest and largest fractions show much higher concentrations, 21 ± 2 and 40 ± 10 µg/g, respectively.
Cadmium shows maximum negative correlations with the elements of Set 1, but rather weak correlations with S and Ca, which may be due to its very low concentrations, below 70 ng/g in all the samples.Still, as cadmium ions and sulfide are soft Pearson's entities, their correlation is expected.The highest concentration of cadmium in the largest fractions suggests that it is present as insoluble sulfides or oxides.
Chromium content is also low, and its particle-size profile is different from those of the above three elements (Figure 7).For all the fractions with a particle size of less than 1 µm, the concentrations do not differ significantly and do not exceed 0.2 µg/g.For chromium, there is a relatively strong correlation with almost all other elements of Set 2, but it also shows a good correlation with Mg, Sr, and P of Set 3 and no correlation with other elements, like Cu and Zn of Set 4 (Figure 2).

Set 3: Magnesium, Strontium, Barium, Potassium, and Phosphorus
The highest concentrations for this set were observed for magnesium, potassium, and phosphorus (Figure 7).High correlation coefficients (over 0.9) are observed for pairs of magnesium, strontium, and phosphorus.For potassium, correlation coefficients with these three elements are lower.For barium, the correlation with other elements of this set is low, but it shows the same level of correlation with elements of Set 1.The elements united in this set are related to Set 1 and show moderate correlation coefficients (over 0.5) with the elements of that set (Figure 2).As for the Set 1, these elements are primarily associated with particles larger than 1 µm (Figure 7).Also, the elements of Set 3 show moderate correlations with calcium and chromium (Figure 2).
Magnesium is a fairly common element in soil.It is often found as carbonate minerals (e.g., dolomite) or as various phyllosilicates (e.g., talc or biotite) [49].Based on the found correlations, it can be assumed that magnesium predominantly exists as silicates; the correlations are slightly higher than those for the Ca-Mg pair.Contrary to the matrix elements of Set 1, magnesium is mostly equally present in all the fractions (Figure 7).Magnesium concentration in other fractions, except for the smallest one, does not exceed 2 µg/g.For the smallest fraction, Mg content increases to 20 ± 1 µg/g.
Strontium behaves similarly to magnesium, showing the largest correlation coefficient (r Sr-Mg = 0.960).Its concentrations are an order lower than those for Mg, and at the level of 0.1-0.2µg/g (Figure 5).As for Mg, the Sr content in the smallest fraction is 20 ± 1 µg/g.
Barium is an in-between element of Sets 1 and 3 (Figure 2); its pattern is more similar to those of matrix elements.As with the elements of Set 1, Ba is associated for the most part with particles of 2-10 µm, with maximum concentrations of 0.5-0.7 µg/g (Figure 5).A rather significant negative correlation with sulfur is observed for barium, which has no reliable explanation and may be due to large differences in concentrations of Ba and total sulfur.Potassium is the element with one of the highest percentages in the total profile (Figure 7) and its content increases with a decrease in the particle size.The concentration profile of K is more similar to those of calcium and sulfur (Figures 4 and 5).The concentration of potassium is at the level of 1-2 µg/g.Like calcium, the largest and smallest fractions show much higher concentrations of potassium of 100 ± 40 and 38 ± 1 µg/g, respectively.
Phosphorus shows strong correlations with the elements of this set, while it exhibits the lowest correlations with the elements of Set 1 (no correlation with manganese).However, it shows rather good correlations with Ca, S, and Cr.Its concentration profile is also flat, and the concentrations are at the level of 1 µg/g, except for the largest fraction, 50 ± 20 µg/g, which evidences either the absorption of phosphates or their existence as rather large particles.As potassium, phosphorus forms a large fraction in the profile for all particle-size fractions (Figure 7).

Set 4: Copper and Zinc
In contrast to the groups above, copper and zinc predominantly correlate with one another only (r Cu-Zn = 0.998) and show very low correlations with other sets (Figure 2).The main feature is that they are more associated with particles smaller than 0.05 µm (Figure 6).The copper content for the fractions of 0.03-0.05µm and below are 1.0-3.5 µg/g.For the fraction below 0.01 µm, its concentration is 3.45 ± 0.07 µg/g.The same picture can be seen for zinc; its content is at the same level.For the fraction of below 0.01 µm, its concentration is 3.8 ± 0.1 µg/g.Due to rather large concentrations of copper and zinc, they form a significant part of the three smallest fractions (Figure 7).

Molar Ratios of Major Elements
The existing data indicate that labile aluminosilicates predominate in the mineralogical composition of the silty fraction of below 1 µm of the similar Kursk chernozem, except for the arable land [16].In the fraction below 0.2 µm, about 25% of kaolinite and chlorite, about 53% of illites, and about 22% of labile silicates (montmorillonite) were found.In the fraction of 0.2-1 µm, the contents of kaolinite and chlorites were ca.57%; illites, 35%; and labile silicates, 8%.In coarse fractions of 1-10 µm, quartz predominates; clay minerals were distributed as follows: 38% kaolinite and chlorites, 50% illites, 12% labile silicates [16].It is noteworthy that with regular plowing and under the influence of mineral fertilizers, clay minerals are decomposed and removed, and the content of dust fractions and quartz in them increases [50][51][52][53].Therefore, we only consider these ratios as an example.
According to the accepted formulas of the chemical composition of kaolinite minerals Si 4 Al 4 O 10 (OH) 8 , montmorillonite (Na,Ca) 0,33 (Al,Mg) 2 Si 4 O 10 (OH) 2 (H 2 O) n , and illite (K,H 3 O)(Al,Mg,Fe) 2 (Si,Al) 4 (H 2 O) [54], the molar ratio of Al/Si in kaolinite should be ca.1; in montmorillonite it should be 0.25-0.5 (the same for Mg/Si); and in illite it should be 1.0-1.5.The Mg/Al ratio in montmorillonite is ca.1; in illite, it is ca.0.2.In our case, for large fractions of 5-10 and 2-5 µm, the calculated ratios do not change, which indicates the homogeneity of their mineralogical composition and its predominantly silicate nature with a uniform distribution of smectite-like (montmorillonite-like) and illite-like structures, most likely mixed-layered.In WESC fractions decreasing from 1 to 0.05 µm, the relative content increased 2-4-fold for K and Mg and 8-fold for Ca (Figure 7), with almost unchanged ratios of Al/Si, Fe/Si, and Fe/Al (Figure 8).This may indicate predominant clay minerals and carbonates in the composition of these fractions.The distribution of hydrates of aluminum and iron oxides can be traced by the ratios of Fe/Al, Fe/Si, and Al/Si, which almost do not change in fractions of 0.05-10 µm.Thus, it suggests approximately the same level of mineral contents, apparently existing in the form of films covering individual particles of clay minerals, possibly in combination with organic matter.In the fraction of 0.01-0.03µm, all ratios change considerably, which indicates the predominance of nonsilicate compounds of iron and aluminum, as well as other macroelements.The fraction of below 0.01 µm almost does not contain aluminosilicates; the elements are found in other water-soluble forms.The isolated fraction of 0.03-0.05µm could be considered transitional.Apparently, the boundary of the transition of the existence of crystallized and non-crystallized forms of clay minerals lies at a level of ca.0.02 µm.The obtained data on the forms of existence of macroelements correspond to the particle sizes of non-silicate minerals: Fe, up to 17-22 nm; Mn and Ti oxides, up to 6-12 nm; and amorphous SiO 2 , up to 12 nm [55,56].

Cluster Analysis and Modeling of Element Distributions
Analysis of the distribution of the entire set of macro-and microelements shows that the size groups of particles of 2-5, 1-2, and 0.05-0.1 µm and a set of other size fractions, including below 0.01 µm, are clustered according to the content levels (Figure 11a).The grouping of elements is as follows: Ca, Si, and the rest of elements are fundamentally separated, consisting of both groups associated with the silicate matrix and forming non-silicate mineral phases (Figure 11b).In the following subsections, we consider the distributions of the main elements that form silicate and ferruginous mineral phases.

Distribution of Main Elements
As noted above, the composition of soil colloids is heterogeneous.Their inorganic part mainly consists of microparticles of clay aluminosilicates of varying degrees of crystallinity and minerals, hydrates of iron, and aluminum oxides [57].The main structureforming elements are Si, Al, Fe, Mg, K, and Na.In terms of elemental composition, clustering occurs at the level of size fractions and sums (groups) of fractions of 5-10, 1-5, 0.03-1, and below 0.01 µm (Figure 12a).Two large groups are found that correlate with the above sets: Si + (Al + Fe) and (Mg + K) + Ca (Figure 12b).These two large clusters are associated with the anionic and cationic parts of aluminosilicates.The separation within the anionic-cationic first and cationic second isolated groups is due to the existence of these elements both in the form of aluminosilicates and non-silicate minerals, hydrates of iron and aluminum oxides, and carbonates,

Distribution of Main Elements
As noted above, the composition of soil colloids is heterogeneous.Their inorganic part mainly consists of microparticles of clay aluminosilicates of varying degrees of crystallinity and minerals, hydrates of iron, and aluminum oxides [57].The main structure-forming elements are Si, Al, Fe, Mg, K, and Na.In terms of elemental composition, clustering occurs at the level of size fractions and sums (groups) of fractions of 5-10, 1-5, 0.03-1, and below 0.01 µm (Figure 12a).

Distribution of Main Elements
As noted above, the composition of soil colloids is heterogeneous.Their inorganic part mainly consists of microparticles of clay aluminosilicates of varying degrees of crystallinity and minerals, hydrates of iron, and aluminum oxides [57].The main structureforming elements are Si, Al, Fe, Mg, K, and Na.In terms of elemental composition, clustering occurs at the level of size fractions and sums (groups) of fractions of 5-10, 1-5, 0.03-1, and below 0.01 µm (Figure 12a).Two large groups are found that correlate with the above sets: Si + (Al + Fe) and (Mg + K) + Ca (Figure 12b).These two large clusters are associated with the anionic and cationic parts of aluminosilicates.The separation within the anionic-cationic first and cationic sec-

Medium-and Low-Concentration Elements
Two large groups are found that correlate with the above sets: Si + (Al + Fe) and (Mg + K) + Ca (Figure 12b).These two large clusters are associated with the anionic and cationic parts of aluminosilicates.The separation within the anionic-cationic first and cationic second isolated groups is due to the existence of these elements both in the form of aluminosilicates and non-silicate minerals, hydrates of iron and aluminum oxides, and carbonates, mainly calcium.It is contained in carbonates, while Fe and Al exist in the forms of non-silicate minerals.
In terms of elemental composition, clustering for the related elements of Sets 1-4 (Ba, Cd, Cr, Cu, Mn, Sr, Ti, Zn, P, and S) is similar to that for the main elements of fractions of 5-10 and below 0.01 µm.Between these fractions, there are combined fractions from 1 to 5 µm, 0.05-1 µm, and 0.01-0.05µm (compare Figures 12a and 13a).The nature of the distribution of other elements is different, which is associated with the species in the soil mainly being metal organic complexes or other coordination compounds and sorbed labile aluminosilicates and non-silicate ferruginous minerals.It is obvious that the largest fractions, consisting of microaggregated organo-clay particles, contain all the identified elements in a variety of their natural forms.The smallest fractions predominantly contain nanoparticles with sorbed non-silicate iron minerals (as well as chromium and manganese), low molecular weight water-soluble organic substances, and calcium and magnesium carbonates.
Agrochemicals 2023, 2, FOR PEER REVIEW 16 5-10 and below 0.01 µm.Between these fractions, there are combined fractions from 1 to 5 µm, 0.05-1 µm, and 0.01-0.05µm (compare Figures 12a and 13a).The nature of the distribution of other elements is different, which is associated with the species in the soil mainly being metal organic complexes or other coordination compounds and sorbed labile aluminosilicates and non-silicate ferruginous minerals.It is obvious that the largest fractions, consisting of microaggregated organo-clay particles, contain all the identified elements in a variety of their natural forms.The smallest fractions predominantly contain nanoparticles with sorbed non-silicate iron minerals (as well as chromium and manganese), low molecular weight water-soluble organic substances, and calcium and magnesium carbonates.
(a) (b) There are three main groups of elements, Ba + Mn + P; Ti and (Cr + Cd; Sr + S); and (Cu + Zn) (Figure 13b), that correspond to the concept of the mineral species of these elements in soils [58].It is known that Ba is associated with sulfates and carbonates and is concentrated in minerals and nodules containing Mn and P (Figure 13b).The main part of Ba is in particles of 0.4-0.8µm and is not confined to either aluminosilicates or organometallic compounds, which reflects its position in Figure 9 almost in the central position.Titanium concentrations are extremely low, and TiO2 particle sizes are below 15 nm, corresponding to those of the main ferrous minerals [56]; however, the nature of its distribution in the obtained fractions, with a pronounced accumulation in large particles, is similar to the nature of the distribution of iron and aluminum, as illustrated by Figure 9.In this case, cadmium is associated with chromium, which usually exists in the composition of ferruginous non-silicate minerals (Figures 9 and 12b) known as being cadmium sorbents.Cu and Zn appear to be associated with the living matter of soils [58] and are present in aqueous extracts as coordination compounds with organic matter.
The composition of cations in the finest fractions (sizes below 0.1 µm) that contain almost no already crystallized silicate minerals is determined by the processes of precipitation-dissolution and ion exchange processes.The role of the main soil componentslayered clay aluminosilicate minerals and non-silicate minerals of iron and manganese oxide hydrates with a highly developed specific surface area, and soil organic matter-in the formation of the agro-ecological and toxicological state of soils and their buffering There are three main groups of elements, Ba + Mn + P; Ti and (Cr + Cd; Sr + S); and (Cu + Zn) (Figure 13b), that correspond to the concept of the mineral species of these elements in soils [58].It is known that Ba is associated with sulfates and carbonates and is concentrated in minerals and nodules containing Mn and P (Figure 13b).The main part of Ba is in particles of 0.4-0.8µm and is not confined to either aluminosilicates or organometallic compounds, which reflects its position in Figure 9 almost in the central position.Titanium concentrations are extremely low, and TiO 2 particle sizes are below 15 nm, corresponding to those of the main ferrous minerals [56]; however, the nature of its distribution in the obtained fractions, with a pronounced accumulation in large particles, is similar to the nature of the distribution of iron and aluminum, as illustrated by Figure 9.In this case, cadmium is associated with chromium, which usually exists in the composition of ferruginous non-silicate minerals (Figures 9 and 12b) known as being cadmium sorbents.Cu and Zn appear to be associated with the living matter of soils [58] and are present in aqueous extracts as coordination compounds with organic matter.
The composition of cations in the finest fractions (sizes below 0.1 µm) that contain almost no already crystallized silicate minerals is determined by the processes of precipitationdissolution and ion exchange processes.The role of the main soil components-layered clay aluminosilicate minerals and non-silicate minerals of iron and manganese oxide hydrates with a highly developed specific surface area, and soil organic matter-in the formation of the agro-ecological and toxicological state of soils and their buffering capacity has been studied for many decades and continues to be researched [59][60][61][62][63][64].
Since studies of separated fractions of aqueous extractions from soils have not been carried out, the results obtained in this study can be compared with those that describe the composition and content of elements in water extracts in general, as well as in soil and groundwater; waters of coastal sea, river, and lake areas; and in the composition of bottom sediments.Such studies have been carried out for many years; the interest in them was high in the last third of the 20th century.This is confirmed by the well-known monograph by G. Sposito [65] as well as other studies by this author [66].According to [67], high contents of Cr, Fe, Cu, Zn, and Pb in marine bottom sediments are the result of inputs with non-silicate iron (hydro)oxide minerals and carbonate mineral phases, and phase redistribution can occur in the zones mixing fresh-and seawater in the estuarine zone.The predominant contribution of iron-manganese minerals to the migration of heavy metals to marine environments is mentioned [68].Soil salinization also affects the migratory capacity of heavy metals by changing the ionic strength of the soil solution, pH, and redox potential, which determines the state of iron-manganese minerals [69].The influence of environmental acidity, caused, apart from natural processes, by industrial acid emissions, can be compensated by the mineralogical and granulometric heterogeneity of soils [70].
Although many studies have established that major potentially hazardous elements such as lead, cadmium, zinc, copper, and arsenic in areas of anthropogenic contamination can be largely associated with non-silicate ferruginous and, indirectly, layered clay minerals [71], this study confirms the previous data [72,73]; native studies of the spatial distributions of elements show that the finest fraction is able to migrate both vertically and laterally with the flow of water during periods of increased humidity.The preferential migration of elements in fractions of clusters of different size is also described in approaches with the comparison of the fractal content in the development of the approach by G. Sposito [66], which combines broad size ranges starting with the smallest particles of 0.2 µm [74].These studies clearly show the preferential differentiation of the element composition in connection with the size differentiation of soil particles.The relationship between the mineralogical composition of fine fractions and the migratory ability of a number of elements in terms of their recoverability as exchangeable species was also clearly demonstrated [67].
At the level of macroaggregates, such studies are also actively carried out to assess the safety of soils in agricultural production [75].The highest content of heavy metals was found in the smallest aggregates; it decreases with increasing aggregate size [75].Correlation analysis showed that the distribution of the minerals of Fe and Mn and total organic carbon have a significant impact on the distribution of Pb, Cd, As, and Cr.These data are consistent with our findings.

Conclusions
In this study, we proposed a methodology for the fractionation of particulate soil organic matter (WESC) for a wide range of particles using analytical track-etched membranes, which is a logical continuation of cascade sieve fractionation for larger size fractions.This method provides the separation and isolation of particles with a size of less than 10 µm down to 10 nm.For a more complete profiling of WESCs from the viewpoint of SOM, studies of soil colloids with molecular spectroscopy methods (UV/vis, FTIR, and fluorescence spectroscopy) should also be involved.However, based on the findings of this study, it is possible to evaluate the advantages and disadvantages of the proposed approach.The pros are the technical simplicity and relatively low cost of such separations available for almost any laboratory.Also, the advantages include a wide selection of filter materials, their sizes, and suppliers.
At the same time, the shortcomings of the approach are primarily its high labor and time costs, e.g., filtering fractions through membranes with pores smaller than 0.05 µm took hours, which is completely unacceptable for the analysis of many samples, typical for screening studies.Thus, to scale the approach, it is necessary to design a cascade device and shift from vacuum to pressure filtration.There is also the problem of clogging the pores of membrane filters during the filtration process.In this work, this problem was solved by frequent replacement of filters (up to ten filters per fraction, typically three to five), which leads to their increased consumption.It is necessary to optimize the number of consumable filters and assess the degree of pore-clogging.
From the viewpoint of element analysis of water-extractable soil colloids, a set of narrow size fractions provides detailed element soil profiles for such fine fractions.This was facilitated by the reliable methodology of ICP-AES.This profiling reveals rather distinct differences and the individual character of each fraction as well as trends in the changes in the mineral matrix of WESCs and microelement composition with fraction size.Si, Al, Fe, and Ti are accumulated (as absolute concentrations and percentages) in fractions with sizes above 1 µm, while Ca, Mg, Mn, Cu, Zn, K, and S are accumulated in fractions below 1 µm.
Thus, we consider the proposed approach based on ultrafiltration with track-etched membranes promising and believe it is important to further develop it as part of the methodology for the complex analysis of soil organic matter.The proposed approach expands knowledge on the element composition of organo-clay colloidal soil particles.

Figure 2 .Figure 2 .
Figure 2. Correlation map of determined elements (except Na) for polycarbonate cold extracts after membrane fractionation for all size fractions.

Figure 3 .
Figure3.Distribution of elements of Set 1 in polycarbonate cold extracts.Relative standard deviation for the elements except iron is no more than 2%; for iron, no more than 4%.

Figure 3 .
Figure3.Distribution of elements of Set 1 in polycarbonate cold extracts.Relative standard deviation for the elements except iron is no more than 2%; for iron, no more than 4%.

Figure 4 .
Figure 4. Distribution of elements of Set 2 in polycarbonate cold extracts.Relative standard deviation for the elements is no more than 0.5%.

Figure 4 .Figure 5 .
Figure 4. Distribution of elements of Set 2 in polycarbonate cold extracts.Relative standard deviation for the elements is no more than 0.5%.Agrochemicals 2023, 2, FOR PEER REVIEW 8

Figure 5 .
Figure 5. Distribution of elements of Set 3 in polycarbonate cold extracts.Relative standard deviation for the elements is no more than 0.5%.

Figure 6 .
Figure 6.Distribution of elements of Set 4 in polycarbonate cold extracts.Relative standard deviation for the elements is no more than 0.5%.

Figure 7 .
Figure 7. Whole element distribution as average mass percentage for polycarbonate cold extracts on the particle size.

Figure 7 .
Figure 7. Whole element distribution as average mass percentage for polycarbonate cold extracts on the particle size.

Figure 7 .
Figure 7. Whole element distribution as average mass percentage for polycarbonate cold extracts on the particle size.

Figure 8 .
Figure 8.Average molar ratios of major elements in extracts on the particle size.

Figure 8 .Figure 9 .
Figure 8.Average molar ratios of major elements in extracts on the particle size.

Figure 9 .
Figure 9. Factor analysis of distribution of all the elements.Factor 1, from bottom to top, an increase in the biogenicity of elements; Factor 2, from left to right, an increase in the particle size.

Agrochemicals 2023, 2 , 11 Figure 10 .
Figure10.Total amounts of elements for polycarbonate cold extracts on the particle size.Relative standard deviation for the elements is no more than 2%.

Figure 10 .
Figure10.Total amounts of elements for polycarbonate cold extracts on the particle size.Relative standard deviation for the elements is no more than 2%.

Figure 11 .
Figure 11.Cluster analysis (single linkage, Euclidean distances) of the contents of the entire set of elements (mol/kg); (a) cases, fraction sizes and (b) variables, elements.