Methods Development for the Optical Determination of the Black Carbon Content of Loess Samples

We evaluate the applicability of an optical transmission measurement method commonly used for the analysis of the Black Carbon (BC) content of aerosol sample, to determine the BC content of loess sediments. A number of different sample pretreatment procedures are developed and compared, leading to an optimum preparation process. The results include: 1) Subtraction of the optical attenuation values before and after heating of the sample filters (“ΔATN”) varies linearly with the sample mass. The slope of the regression line provides the best determination of BC concentration. 2) When the sample mass is small, (NaPO3)6 pretreatment is best for BC measurement, and the BC concentration results are given by the slope of the regression between ΔATN and sample mass, for a series of samples of varying mass. 3) HF pretreatment accompanied by centrifugation and rinsing may produce a negative bias on the result. 4) Replicate measurements of BC for loess samples showed a maximum deviation less than 5.6%, suggesting that measurements of the BC concentration of a sequence of loess samples could determine variations to this degree of significance. 5) The overall trends of BC concentration in loess section sequences were similar for all chemical pretreatments. The BC concentration result for replicate samples is comparable when pretreated by the same procedure.


Introduction
BC particles are ubiquitously present in our environment: both suspended as aerosols in the atmosphere, and in liquid and solid media after deposition to soils, loess, and aquatic sediments (both lacustrine and marine) [1]- [4].There is an increasing realization of the potential importance of BC in many global processes [5] [6].BC is a product of incomplete combustion of both fossil and contemporary (biomass) fuels, arising from combustion residues (e.g., charcoal) and condensed carbonaceous products [7] [8].The continuum of properties from char and charcoal to soot particles does not have clear-cut boundaries [9], but the entire class of material is recognized to have large impacts on the global atmospheric carbon cycle and also provides a record of fire history [2] [7] [10]- [12].Due to its inertness and thermal stability [5], BC transfers carbon from the rapid atmosphere-biosphere cycle into a much slower geological cycle.Consequently, it may represent a significant sink in the global carbon cycle [13]- [16].BC may be considered as "missing carbon" providing sequestration in soils and sediments for thousands to millions of years [14] [17] [18].However, quantitative estimates of the amount of BC in terrestrial and other environments are affected by uncertainty [2] [19].BC values measured by different groups using different methods gave markedly different results [20] [21].
The methods most frequently used for the determination of the BC content of soil and sediment samples are the chemical, thermal, and chemical-thermal oxidation (CTO) methods, based on differences in the rates of degradation or oxidation between the BC and non-BC components [6].However, the various oxidative methods have certain disadvantages for the analysis of soil and sediments.One major concern is that there is no standard means to verify the complete removal of the organic carbon (OC) content of the sample.Thermal or CTO methods which remove OC at elevated temperatures have the same limitations as chemical methods [36], in addition to the introduction of other interferences such as the "charring" of organic carbon, and oxidization of the BC component in an oxygen-rich environment [6].Thus, different components of the "black carbon continuum" (from char to soot) in different matrices (soil, atmosphere, water, sediments) may be incorrectly analyzed by these methods [22].
The removal of carbonates by chemical pretreatment is used in most oxidative methods.Removal of silicate by a mixture of HCl and HF was also used in the TOR method [29]- [32] [37].Han et al. and Gustafsson et al. pointed out that HCl pretreatment could lead to a substantial negative interference underestimation due to HCl-promoted oxidation of soot particles at high temperatures [21] [32].
For aerosol samples, BC is quantitatively measured by optical methods, and this analytical technique is based upon a determination of the "Attenuation" i.e. "blackness".
The Optical Transmission analytical method is rapid, non-contact, non-contaminating and non-destructive.Now both OT-21 and Aethalometer which is a real-time BC optical measurement instrument are widely used to measure BC content of aerosol samples in worldwide [25] [38].
This optical method to measure BC content by using OT-21, was developed in 1993 [39].Ahmed et al. compared the measured BC results of OT-21 with that of thermal/optical method [1].They demonstrated that the positive correlation between the results of two methods was good.The thermal/optical method has been widely used to measure BC content and accepted by most scientists now.Therefore, the optical measurement method of BC has been approved to be usable.
It is commonly used for the analysis of the BC content of aerosol samples collected on quartz filters [1].However, there have been few studies of the BC content of soil and sediment samples by the optical methods other than TOR.
It is known that the periodic variability of the composition of loess-paleosol sequences reflects changes between dry and wet periods [40]; and the concentration of BC reflects changes similar to climatic fluctuations [41].
The purpose of this study was to investigate rapid, convenient and quantitative methods to measure the BC content of loess samples.This work establishes the optimum experimental procedures and improves a measurement method.We also evaluate carefully the effect of different pretreatment procedures on the results of the BC measurement of sediment samples.

Samples
The loess and paleosol samples used in this study were taken from a loess-paleosol section located at (34˚34′N, 109˚32′E) near Yangge town, Weinan, in Shanxi province in the southern Chinese Loess Plateau.This section has been studied extensively [42]- [44].Five samples were selected from the loess and paleosol formation units respectively, as shown in Table 1, in order to develop a measurement method that could distinguish the differences of BC concentration between loess samples formed under different climatic conditions.

Methods
In this study, we employed the BC measurement method using Optical Transmission analysis described by Ahmed et al. (2009).We used the same Optical Transmissometer (Model OT-21, Magee Scientific, California USA) as is commonly used in atmospheric aerosol research [1].
The OT-21 has a movable tray with two locations for holding filters.The outer position is used for the sample, while the inner position holds the reference (blank filter).The instrument compares the intensity of 880-nm light transmitted through the sample, to the intensity transmitted through the reference blank filter.The "Attenuation" (ATN) is defined as: where I and I 0 are the intensities transmitted through the sample and blank filters respectively.The Attenuation is related to the surface loading density of BC by the relation where the BC density (in units of μg•cm −2 ) is determined by dividing ATN by the "Specific Attenuation" coefficient σ.The usual value of σ recommended by the instrument manufacturer is 16.6 cm 2 •μg −1 for the analysis at 880 nm of samples collected on quartz fiber filters.The BC density is then converted to a BC concentration fraction by mass.Specific methods-development steps were required in order to apply this technique to the analysis of sediment samples.These were: 1) to weigh a sequence of different masses for each sample; 2) to pre-treat the samples by seven different procedures for removal of carbonate, OC and silicate; 3) to collect the samples by filtration onto quartz-fiber filters; and 4) to measure the BC content.These procedures are described in detail in the following sections.

Weighing of Sample Masses
Previous studies show that the BC content of loess is generally low, in the range of 0.010% -0.054% (Han et al., 2007), and 0.041% -0.572% (Wang et al., 2005).Thus, the BC content of samples may be below detection limits for small sample masses.However, too large a sample mass may result in an inaccurate measurement of BC content if the sample filter is too dark to be measured by optical methods, or if grains of the sample drop off from the filter.
Before the samples were weighed, all soils were lightly ground with an agate mortar in order to remove adhesion aggregates and to mix the samples uniformly.Aliquots of 5 mg, 10 mg, 15 mg, 20 mg and 25 mg were weighed out for each sample (Table 2) and put into 50 ml polypropylene tubes for subsequent pretreatments.

Pretreatment Procedures
In loess samples, there are three forms of carbon: BC (or elemental carbon); OC; and carbonate.Various pretreatment procedures were used to remove carbonate and OC from loess samples.Following the methods of other authors [21] [24] [29]- [32], 2N hydrochloric acid (HCl) was added to the tubes to remove carbonate; while OC was removed by adding oxidants [11].In this study, because the expected mass of BC was small, it was necessary to allow at least 24 hrs for complete removal of carbonate and OC.
Seven pretreatment procedures were designed for use in this study.In all procedures except the HF pretreatment, approximately 3 ml of (NaPO 3 ) 6 was added as a dispersant (Table 2), and the OC removal was finished at 140˚C.
(1) "(NaPO 3 ) 6 pretreatment": Add 30% (NaPO 3 ) 6 as dispersant This pretreatment was intended to disperse any cemented aggregates in the loess samples.Approximately 10 ml   of de-ionized water was put into the tubes with the weighed samples, and then ~3 ml of (NaPO 3 ) 6 were added.The tubes were shaken lightly to mix the sample uniformly, and then kept at room temperature for at least 24 hrs.
(2) "HCl pretreatment": Add 2N HCl for carbonate removal The samples were digested in 3 -10 ml of 2 N hydrochloric acid (HCl) at room temperature for at least 24 hrs to remove carbonates.
(3) "H 2 O 2 pretreatment": Add 30% H 2 O 2 for OC removal The samples were digested in 3 -5 ml of 30% H 2 O 2 at 140˚C.After the bubble of OC reaction disappeared, the residues were laid at room temperature for at least 24 hrs to remove OC completely.
(4) "HCl + H 2 O 2 pretreatment": Add 2 N HCl and then 30% H 2 O 2 The samples were first digested in 3 -10 ml of 2 N HCl at room temperature for at least 24 hrs to remove carbonates.Then, OC removal was under the same condition as procedure (3).
(5) "H 2 O 2 + HCl pretreatment": Add 30% H 2 O 2 and then 2 N HCl OC removal was under the same condition as procedure (3).Then, 3 -10 ml of 2 N HCl was added to remove carbonates under the same conditions.( 6) "HCl + HF pretreatment": Add 2 N HCl and then 48% HF The samples were first digested in 3 -10 ml of 2 N HCl at room temperature for at least 24 hrs to remove carbonates.Next, 10 -15 ml of 48% HF: 2 N HCl (1:1 mixture) was added for another 24 hrs to remove silicates.Finally, the residues were separated from the supernatant by centrifugation (3500 rpm for 10 min) and rinsed with de-ionized water 3 or 4 times until neutral.
(7) "HCl + H 2 O 2 + HF pretreatment": Add 2 N HCl, then 30% H 2 O 2 and finally 48% HF: 2 N HCl mixture After HCl and H 2 O 2 pretreatment as described in (4) above, add HF as in ( 6) above.Before being used for sample collection, the blank quartz filters (of 47 mm diameter) were heated in a muffle furnace at 850˚C for 3 hrs to remove any adsorbed organic vapors or previous BC content.
After the pretreatments described above, the sample residues were moved to 500 ml quartz beakers, diluted with 200 ml of de-ionized water, and then drawn through the pre-fired quartz fiber filters.These loaded filters were placed on clean tinfoil and were dried in an oven at 50˚C for at least 12 hrs.All final samples for analysis were kept in individual sample boxes and stored in a refrigerator before optical analysis.

Optical Method for BC Measurement of Soil and Sediments
In loess sediments, there are various minerals that may influence the absorption of light at 880 nm passing through the sample filters.It is necessary to consider the contribution of both the BC and the mineral content to the attenuation of transmitted light.The optical attenuation of sample filter is [39]: where [BC] represents the mass per unit area of black carbon in the sample on the filter, σ mineral 1 represents the specific attenuation coefficient of the mineral content in its initial form, and [mineral] represents the mass per unit area of mineral compounds on the filter.After heating to a high temperature in an oxygen-containing atmosphere, any BC in the sample will be completely burned away [45].However, the mineral (which is refractory) will remain, although its efficiency for absorbing light may be changed.Consequently, the optical attenuation of the sample after heating will be [ ] where σ mineral 2 is the specific attenuation coefficient of the mineral content after heating; and which may be different from σ mineral 1 .
The difference of the two measured ATN values (ΔATN) can be used to determine the BC concentration of the samples.
[ ] ( ) This method was firstly developed by Hansen et al to eliminate the effect of dust on BC measurement of aerosol samples [39].He also considered that the result BC 1 of the before-heated sample filter measured by OT-21 is the combination of real BC and dust.The result BC 2 of the after-heated (850˚C) sample filter measured by OT-21 is only the effect of dust because both BC and OC were oxidized at 850˚C.Thus, real BC content should be their subtraction BC = BC 1 − BC 2 .Our progress was the improvement of optical method for BC measurement of dust aerosol samples, because Hansen et al didn't considered that the minerals of dust might be changed due to heating [39].For example, the minerals on the filter become a little bit red after heated.It may be due to the alternation from Fe 2+ -minerals to Fe 3+ -minerals.

Evaluation of Precision and Repeatability
Before measuring BC content, it was necessary to investigate the repeatability of the OT-21 instrument in terms of the deviation in measurements between repetitive placements of a given sample filter, and the deviation in measurements of several replicates of the same sample.
The five sample filters were measured identically.Each was analyzed 5 times in succession to calculate the average measurement value (mean) and the standard deviation (SD).The deviation represented the repeatability of measurement by the OT-21 instrument.
Precision Analysis (2): Deviation in measurement of repetitive placements of a given sample.Each sample filter after heating was analyzed multiple times by repetitive placement in the OT-21.After each sample was measured, it was taken out, and then put back in again; and the next measurement was performed.Each filter was tested 5 times and the mean and SD were calculated (Table 3).This process checked the effect of multiple placements on the reproducibility of the measurement value.
Table 3 summarizes the results of the two precision analysis processes.For Precision Analysis (1), the measurement value ATN of a sample filter changes slightly and yields a low S/M ratio.The maximum S/M ratio was 0.70% and the minimum was 0.24%.For Precision Analysis (2), the S/M ratio was the order of 1.02% -4.45% (Table 3), normally less than 2% and only reaching 4.45% once.This means that the replicative placement of a filter does influence the measurement result of the OT-21.The influence was limited within a narrow range (<2%) for loess samples in most cases.

Measurement Deviation of Multiple Replicates of the Same Sample
For multiple replicates, the SD of ΔATN was 0.47.The S/M ratio suggests a measurement precision of 5.6% (Table 3).
For five replicates of the same sample, the mineral composition and grain size should be identical.Thus, the positive value of the measured ΔATN might result from the slight difference of BC distribution, or changes in the mineral properties after heating the samples on these quartz filters.Indeed, Schmidt et al. found that the BC concentration measured for individual soil samples varied over 2 orders of magnitude in multiple measurements [20].The measurement precision found in this study is far higher than that.

Results of BC Measurement Assuming No Change in Mineral Optical Properties after Heating
Whether or not the mineral content changes its optical properties after heating, is a central issue.If we use the assumption that the absorption of light at 880 nm by the mineral content of the sample is unchanged by heating, we may represent this as σ mineral 1 = σ mineral 2 .Thus, based on Equation ( 5), ΔATN can be used to calculate the BC concentration directly [39].
[ ] Results of BC measurements using this assumption are shown in Figure 1.For each sample, the overall BC value trends associated with increasing mass are similar for different pretreatments, although the absolute BC values obtained using different pretreatments may be different.In addition, the BC value trend was different for different samples.This implies that the property of the samples may influence the BC value with increasing mass.For all samples, when the sample mass was less than 10 mg, the fluctuation trends of the measured values were larger than those obtained with larger sample masses.
It is noticeable that some measured BC values, especially those obtained using HF pretreatment, were smaller than zero (Figures 1(a)-(d)).This indicates that the measured value of ATN for a sample filter after heating is larger than before heating.

Comparison between different pretreatment procedures
The BC values measured for samples undergoing the seven different pretreatments were compared with each other in order to reveal the possible effects of differing pretreatment procedures on the BC result.
1) Comparison between "(NaPO 3 ) 6 pretreatment" and "HCl pretreatment" In most cases, the measured BC value of samples given pretreatment procedure 1 (adding (NaPO 3 ) 6 as dispersant) is a little larger than those given procedure 2 (adding HCl for carbonate removal), as shown in Figure 2. 2) Comparison between "HCl pretreatment" and "HCl + H 2 O 2 pretreatment" Most of the results obtained using pretreatment procedure 2 (adding HCl) are lower than those obtained using pretreatment procedure 4 (adding HCl + H 2 O 2 to remove carbonate and OC), as shown in Figure 3.
Similar to the above situation (2), the BC results using pretreatment procedure 2 were higher than those using procedure 4 for the L 1-1 sample.
3) Comparison between "(NaPO 3 ) 6 pretreatment" and "HF acid pretreatment" The result obtained using pretreatment procedure 1 were compared with those using procedure 7 (adding HCl + H 2 O 2 + HF) with OC removal, and procedure 6 (adding HCl + HF) without OC removal.Most of the BC measurements using procedure 1 are far greater than those using either HF procedure, as shown in Figure 4.The results of the two HF pretreatments are similar.
4) Comparison between "HCl pretreatment" and "HF pretreatments" In order to analyze the effect of acid pretreatments on measurements of the BC content of sediments, the result of the HCl pretreatment was compared with that of the HF pretreatments, as shown in Figure 5.In general, the results using HCl pretreatment are larger than those obtained using HF pretreatment for most samples, except    the S 0 paleosol sample.5) Comparison between "(NaPO 3 ) 6 pretreatment" and "H 2 O 2 pretreatment" Figure 6 shows that in as many as 60% of the cases, BC results using the H 2 O 2 procedure are higher than those using procedure 1, although the BC results for the S 0 and L 1-1 samples using procedure 3 are lower than when using procedure 1.
6) Comparison between "H 2 O 2 + HCl pretreatment" and "H 2 O 2 pretreatment" Figure 7 shows that in most cases, the BC values obtained for the L 1-1 , L 1-2 and L 1-5 samples after using procedure 5 (adding H 2 O 2 + HCl) were higher than after using procedure 3 (adding H 2 O 2 ).
7) Comparison between "H 2 O 2 + HCl pretreatment" and "HCl + H 2 O 2 pretreatment" To analyze the possible effect of the sequential order of H 2 O 2 and HCl pretreatments, the BC results after the H 2 O 2 + HCl pretreatment were compared with those after the HCl + H 2 O 2 pretreatment.Figure 8 shows that these results are similar.
We may summarize the above results to state that an H 2 O 2 pretreatment may usually result in a positive bias in BC measurement; while acid pretreatments, especially HF pretreatment, may lead to a negative bias on the BC measurement.

Results of BC Measurement Allowing for a Possible Change in Mineral Optical
Properties after Heating 1) Trends of optical attenuation (ATN) of different samples before and after heat treatment Figure 9 and Figure 10 show that for all samples, ATN at 880 nm before and after heating treatment increases linearly with sample mass, and the analyses of samples of the same material using different pretreatments have similar trends, although there may be some very small differences.In Figure 9, the intercept of the regression lines before sample filter heating is close to zero, while Figure 10 shows that after heat treatment, the intercept may be greater or smaller than zero.The difference of ATN measurements before and after heat treatment may be due to the change of mineral optical properties during the firing process, and this change may also be the reason why the intercept of ΔATN is not zero.

2) The ΔATN results and the determination of BC content
The process of heating the sample filter to a high temperature may change the absorption of light at 880 nm by the mineral content.This is represented in Equation ( 6) as the relation σ mineral 1 ≠ σ mineral 2 .Figure 11 shows the ΔATN results of all samples measured using light of 880 nm wavelength.
The relationship between ΔATN and sample mass, shown in Figure 11, is important for understanding the physical significance of the measured BC value.It was found that ΔATN of all pretreatment procedures varied linearly with sample mass for a given sample.For each sample, the intercepts of ΔATN results of different samples may be positive or negative (Figure 11).
Figure 10 suggests that the Equation ( 4) can be rewritten: [ ] where the intercept C of the regression lines is a constant, which can represent the effect of heating to the optical absorption of the sample filter.Therefore, the equation ( 6) is rewritten as the following ( ) Let P represents the slope σ BC × a.Then, the BC content can be gotten from the formula a = P/σ BC.
The equation describes results shown in Figure 11.It is noticed that there was good relationship between the sample mass and ΔATN, and the regression lines for the different procedures are nearly parallel in most cases (Figure 11).The slope of the regression lines for the HF pretreatments is slightly smaller than that for other procedures (Figure 11  pretreatment procedures or a possible tiny negative bias caused by HF pretreatment procedures.It is because no minerals but BC were left on the quartz-fiber filter in HF pretreatments.Therefore, it can be concluded that Δσ mineral is low in most cases (i.e., Δσ mineral ≈ 0) and can be neglected for the measurement of BC content on 880-nm wavelength light.

3) Comparison of BC contents of various pretreatments
In order to eliminate the impact of minerals on BC concentration, the slope of ΔATN will be used to determine BC concentration, because the change in specific attenuation coefficient of minerals after heating is very tiny (Δσ mineral ≈ 0).The result is shown in Figure 12.
It may be concluded that the (NaPO 3 ) 6 pretreatment is a relatively simplified procedure which does not materially change the properties of the samples.In the (NaPO 3 ) 6 pretreatment (Figure 12), the resultant BC concentration of loess samples estimated by using the slope of Equation ( 9) varies between 0.012% -0.025%.This is the same order of magnitude as the 0.01% -0.054% result of Han et al. using the TOR method [29], but less than the average content 0.124% of the same study area published by Wang et al. using a chemical method [41].
When the sample mass is at the 200 mg level, BC values obtained using HF pretreatment (with and without OC removal) estimated by Equation ( 6), have the same order of magnitude as those obtained using other pretreatment methods, estimated by the slope of Equation ( 9).Some quartz-fiber filters of 200 mg sample mass cannot be measured because these filters are too thick for the 880-nm transmitted light.This suggests that samples of mass 50 -150 mg may be suitable for BC measurement using the OT-21 optical method after HF pretreatment.However, Figure 11 shows that the intercept of ΔATN regression lines for most samples with HF pretreatment were not zero but negative.It is strongly suggested that HF pretreatment may underestimate the BC content, the HF pretreatment may be not an appropriate method to determine BC even though the effect of mineral species is low.

4) Comparison of the intercepts of ΔATN lines of various pretreatments
Most of the values of the ΔATN intercepts after different pretreatment procedures are negative, and the trends are also similar.However, Figure 13 shows that these values differ for different pretreatments of the same sample.The reason may be that the effect of different solvents on a sample may differ, and the absorption of 880 nm light by the mineral content of the sample may also be changed.

The Influence of Mineral Change
Hansen et al. had assumed that the optical properties of the mineral content were not changed by the heating process [39]; and consequently the BC concentration could be calculated by the subtraction of results measured before and after heating.However, Figure 11 indicates that the results obtained in our work show that there was an intercept for the measurement of ΔATN as a function of sample mass for all samples, under the assumption that the change in Specific Attenuation Coefficient of the mineral content is small (Δσ mineral ≈ 0).This intercept will lead a positive or negative bias for BC measurement.Consequently, the analysis shows that the regression slope between ΔATN and sample mass is the optimum means to determine the BC content of loess and sediment samples.
There may be a possible influence of some minerals on the results after different pretreatments, except after HF pretreatment (see Figure 13).It is therefore not reasonable to compare different pretreatment processes of a sample, even if the change of attenuation coefficient of the minerals is neglected (Δσ mineral ≈ 0).

Acid and Oxidation Pretreatment
Compared with the (NaPO 3 ) 6 pretreatment, H 2 O 2 pretreatment may usually result in a positive bias in the BC determination by according to Equation (7) based on the assumption [39].HCl acid pretreatments may lead to a negative bias of the BC result.
In the HF pretreatment process, some BC particles may be lost during the centrifugation and rinsing procedures, leading to an underestimation of BC.It was noticed that some of the ATN results before heated are negative for the HF pretreatment (see Figure 9).It may be because the residues of HF react with the quartz of the filter and thin the sample filter to lead that the intensity of transmission of light passing through the sample filter (I) may be higher than that passing through the blank filter.

Conclusions
An analysis method based on optical transmission using the OT-21 instrument was developed to measure the BC content of sediment samples.1) Our progress was the improvement of optical method for BC measurement of dust aerosol samples.An experimental procedure for the BC optical measurement was developed in this study.Pretreated samples were added to de-ionized water and collected on quartz fiber filters.The optical attenuation of this filter was then measured.The subtraction ΔATN of the two measured attenuation values-before and after the sample filters were heated at 850˚C for 3 hours-was used to determine the BC concentration.
2) Various pretreatment processes of the loess samples were studied.The variations of measured BC in the loess  section are similar for all the pretreatments and the BC value of different samples was comparable if the samples were pretreated by the same procedure.The (NaPO 3 ) 6 pretreatment is the simplest and best method for the BC optical measurement.
3) ΔATN was always linear with sample mass for all pretreatment procedures.The slope of the regression line of ΔATN with sample mass can be interpreted in terms of the BC concentration.Thus, using this slope to determine the BC concentration is the best optical measurement method.
4) Replicate analyses of BC for loess samples showed a deviation less than 5.6%.

Figure 1 .
Figure 1.Measured BC concentration results for increasing sample mass.

Figure 3 .
Figure 3.Comparison between results obtained with "HCl pretreatment" and "HCl + H 2 O 2 pretreatment" for different samples masses.

Figure 5 .
Figure 5.Comparison between "HCl pretreatment" and "HF pretreatment", with and without OC removal, for different sample masses.

Figure 9 .
Figure 9. Trends in ATN of different samples before heat treatment.

Figure 10 .
Figure 10.Trends in ATN of different samples after heat treatment.

Figure 11 .
Figure 11.The changes of ΔATN measured at 880 nm as a function of sample mass.

Figure 12 .
Figure 12.Variation of BC content result after different pretreatment procedures.

Figure 13 .
Figure 13.Intercept of the ΔATN lines after different pretreatment procedures.

Table 2 .
Weighed sample mass and pretreatment procedures for each loess sample.
[41]id treatment and H2O2 treatment in all procedures were similar and waited for 24 hrs to ensure that the reaction could run to completion.bInHF-added pretreatments, 200 mg mass of samples follows the former work ofWang et al. (2005)[41].

Table 3 .
Results and deviations of repetitive measurements of sample filters.