Abstract
Particles from smoldering biomass burning (BB) represent a major source of carbonaceous aerosol in the terrestrial atmosphere. In this study, mass specific absorption spectra of laboratory-generated smoldering wood particles (SWP) from 3 hardwood and 3 softwood species were measured in-situ. Absorption data spanning from λ = 500 nm to 840 nm were collected using a photoacoustic spectrometer coupled to a supercontinuum laser with a tunable wavelength and bandwidth filter. SWP were size- (electrical mobility) and mass-selected prior to optical characterization allowing data to be reported as mass-specific absorption cross sections (MAC). The median measured MAC at λ = 660 nm for smoldering oak particles was 1.1 (0.57/1.8) × 10−2 m2 g−1 spanning from 83 femtograms (fg) to 517 fg (500 nm ≤ mobility diameter ≤ 950 nm), MAC values in parenthesis are the 16th and 84th percentiles of the measured data (i.e. 1σ). The collection of all six wood species (Oak, Hickory, Mesquite, Western redcedar, Baldcypress and Blue spruce) had median MAC values ranging from 1.4 × 10−2 m2 g−1 to 7.9 × 10−2 m2 g−1 at λ = 550 nm with absorption Ångström exponents (AAE) between 3.5 and 6.2. Oak, Western redcedar and Blue spruce possessed statistically similar (p > 0.05) spectra while the spectra of Hickory, Mesquite and Baldcypress were distinct (p < 0.01) as calculated from a point-by-point analysis using the Wilcox rank-sum test.
Graphical Abstract

INTRODUCTION
Biomass burning (BB) is estimated to contribute > 35 % to the global emission of carbonaceous aerosol by mass.1 The major particle-phase constituents generated from BB combustion can be optically categorized into 3 broad groups: black carbon (BC), absorbing organic carbon (brown carbon, BrC) and non-absorbing organic carbon (OC).2 The mix of BC, BrC and OC emitted depends upon conditions with BC preferentially formed during flaming and BrC and OC during smoldering combustion.3,4
The net positive radiative forcing5,6 of BC is second only to CO2, due to its strong, and nearly wavelength independent, absorption and low single scattering albedo across the visible spectrum (λ = 400 nm to 700 nm).7 BrC absorption is much lower than BC and is strongly wavelength dependent, being weak or negligible in the near-IR and significantly increasing towards the UV.8 The BrC wavelength dependence introduces large uncertainties into radiative forcing calculations4 with predictions of BrC’s climate impact ranging from net neutral9 to net positive.10,11 One input into climate models are the BC and BrC mass-specific absorption cross sections (MAC, m2 g−1). Depending on the instrumentation and method used, MAC can take a variety of forms
| (1) |
where αabs (m−1), N (m−3), mp (g), Cabs (m2), ρ (kg m−3), V (m3 of aerosol per m3 of air), and M (g of aerosol per m3 of air) are the aerosol absorption coefficient, the aerosol number density, the average particle mass, the absorption cross section (CAbs = αabs/N), the average particle mass density, the volume fraction of aerosol particles and the mass concentration of aerosol particles (M = Nmp = ρV), respectively. The corresponding units for each parameter are shown in parenthesis. The wavelength dependent absorption is commonly described by the absorption Ångström exponent (AAE)
| (2) |
where λ and λ0 are an arbitrary wavelength in the spectrum and a reference wavelength, respectively. In this study, Eq. 2 has been defined by MAC, although Cabs or αabs could also be used. Ångström exponents were originally used to describe the wavelength dependence of extinction for high albedo materials,12 but have also been used to describe the wavelength dependence of particle absorption even though a single AAE value may not accurately describe the entire spectrum; see Moosmüller, et. al (2011)13 and references therein.
BB aerosol optical properties can be measured in the field during uncontrolled14–16 or prescribed fires.17,18 Laboratory measurements use more controlled combustion4,19–25 or pyrolysis26 conditions with known fuel types and quantities. BB MAC have been indirectly measured using two primary instrumental platforms: filters and photoacoustic spectroscopy (PAS). Filter measurements collect particles and low-volatility OC components and absorption is inferred either through changes in filter attenuation24,27 (a surrogate for absorption) or extraction by solvents followed by subsequent measurement of the solution absorption spectrum with relatively high spectral resolution (< 20 nm).16,26,28 Filter-based measurements cannot completely capture aerosol MAC, as the method is not quantitative on a per mass basis due to challenges in measuring deposited particle mass, filter artifacts (multiple scattering, shadowing, evaporative loss, adsorptive gain, etc.), solvent extraction efficiencies and the assumption that the absorption spectrum of the collected material is unaffected by solvation.
The second platform uses PAS to measure absorption coefficients and the average MAC for an entire population is determined indirectly using the third or fourth forms of Eq. 1 Average density is either assumed or calculated from measured chemical composition mass fractions.22,23 Volume distributions are inferred from the measured size distributions (assuming spherical particles). Mass concentrations are determined gravimetrically,14,19–21,25 using an aerosol mass spectrometer29 or a laser induced incandescence instrument (elemental carbon only).18 Each of the measured quantities requires separate instrumentation operated simultaneously and in parallel. This method is highly sensitive to the accuracy of ρ, V and M and any error in data collection or fitting amplifies MAC uncertainty without consideration to inherent particle variability.19,22,23 Further, MAC values are typically reported at a single wavelength. When multiple wavelengths are available, AAEs are calculated from pairwise fits of the PAS data or from multi-wavelength filter attenuation data in conjunction with PAS data to correct for filter biases.30 Method uncertainties have led to conflicting interpretations on the influence of combustion conditions and/or fuel type on BB particle absorption.22,31
To ascertain the influence of wood specie on the optical properties of smoldering combustion, three conditions are required: 1) optimally controlled conditions to minimize intra- and inter-experiment variability, 2) low measurement uncertainties relative to the intra-experiment and wood specie variation and 3) quantification of experimental uncertainties (Type A and Type B) to isolate inter-specie variation from method uncertainties. The current investigation measures the MAC of smoldering wood particles (SWP) under well-controlled conditions across a broad wavelength range for 6 fuel types using photoacoustic spectroscopy; however, unlike previous investigations, MAC was determined using the first form of Eq. 1 ; notably, αabs, N and mp are all directly measured quantities.32 Absorption data was collected for mobility- and mass-selected particles at 8 wavelengths between λ = 500 nm and 840 nm using a photoacoustic spectrometer (PA) and step-scanning a supercontinuum laser coupled to a tunable wavelength and bandwidth filter. Wood specie variation was larger than quantified method uncertainty and inter-experiment variability facilitating determination of wood specie influence on MAC spectra on a statistical basis.
MATERIALS AND METHODS
A schematic of the experimental setup is shown in Figure 1 which includes components to generate and condition, size- and mass-select (differential mobility analyzer, DMA, and aerosol particle mass analyzer, APM, respectively) and measure the absorption spectra (photoacoustic spectrometer, PA) and number density (condensation particle counter, CPC) of the SWP; these components are shown with black, red and blue outlines, respectively.
Figure 1.
Experiment schematic. Black: aerosol generation and conditioning. Red: size and mass selection. Blue: spectroscopic characterization. Abbreviations: smoldering chamber (SC), 20 L buffer volume (BV), ejector pump (EP), exhaust (EX), silica gel diffusion dryer (SG), activated carbon diffusion dryer (AC), drying tube (DT), differential mobility analyzer (DMA), aerosol particle mass analyzer (APM), photoacoustic spectrometer (PA), dilution air (DA), condensation particle counter (CPC).
SWP generation
Six wood species were investigated including hardwoods consisting of Oak (mixture of Quercus falcata and Quercus alba), Hickory (mixture of Carya ovata and Carya texana) and Mesquite (Prosopis juliflora) and softwoods of Western redcedar (Thuja plicata), Baldcypress (Taxodium distichum) and Blue spruce (Picea pungens). The Hickory, Mesquite, Western redcedar and Baldcypress were sourced from commercially available wood chips. Oak chips and Blue spruce twigs were collected from the grounds of the National Institute of Standards and Technology (NIST) located in Gaithersburg, Maryland USA. All samples were pre-treated at 100 °C overnight to remove bulk water.33
Smoldering was initiated using in an in-house built combustor contained within a laboratory fume hood. The combustor consisted of a 0.95 L (1 qt) stainless steel can 10.8 cm tall and 12.38 cm in diameter with seven 0.556 cm diameter air holes (three on side wall and four at bottom center) to supply air. An exit port in the lid was fashioned from a 1.27 cm (½ in) NPT galvanized steel flange connected to a 1.27 cm (½ in) NPT galvanized steel tube and 0.952 cm (⅜ in) stainless steel tube. Using a downstream ejector pump, a constant and controlled amount of air (≈ 10 L min−1) was pulled into the smoldering chamber via the air holes, over the smoldering wood, through the exit port and delivered to a 20 L glass carboy buffer volume; nominal carboy residence time was 2 minutes. All transfer lines consisted of conductive silicone tubing or stainless steel to minimize particle loss and deposition. For each run, ≈ 100 g of fuel was used. The fuel was ignited at the bottom of the smoldering chamber using a propane torch. SWP were observed in the buffer volume nearly immediately upon application of the heat source to the wood sample. Following the airflow recommendations of Ohlemiller,34 stable smoldering was able to be maintained for up to 60 min. On rare occasions, flaming was visible in the combustor and limited to small parts of the sample, cessation was rapid due to limited O2 (air flow was constant) resulting in continuation of smoldering.
SWP were sampled prior to the ejector pump at a flowrate of 0.5 L min−1. Multiple steps were used to limit the impact of residual combustion gases and condensable water vapor and to maintain a constant relative humidity over the course of a single smoldering experiment. Residual combustion gases were removed by passing the particles through a diffusion dryer filled with activated carbon. Water vapor was removed by passing the particles through a diffusion dryer filled with silica gel desiccant and a monotube gas dryer. Silica desiccant was changed prior to each experiment. Under these conditions the relative humidity in the DMA was maintained at < 80 %.
Size and mass classification
SWP were size-selected at a given mobility diameter (Dm) using an electrostatic classifier with long DMA column that was operated with an aerosol flow of 0.5 L min−1 and a sheath flow of 2.5 L min−1. Particles were mass selected using an APM that was operated either in scanning mode for the determination of the average mass of particles with q ≥ +1 – see Radney and Zangmeister (2016)35 – or static mode to measure absorption spectra where the APM was set to the average mass of the q = + 1 distribution.
This combination of DMA-APM also enables determination of the effective density (ρeff)36,37 from
| (3) |
where mp is the average mass of q = +1 charged particles determined from the mass distribution measured by the APM.
Absorption measurements
The absorption coefficients of size- and mass-selected SWP were measured at eight wavelengths spanning from λ = 500 nm to 840 using a PA with a supercontinuum laser and tunable wavelength and bandwidth filter. The reader is directed to Radney and Zangmeister (2015)38 for a detailed description on the determination of αabs using the supercontinuum PA. Similar to this previous investigation, wavelength regions were randomized at the beginning of each experiment to reduce systematic bias as a result of collection order.
AAEs were calculated by fitting median MAC values to Eq. 2 with λ0 = 550 nm; reported uncertainties represent fits of the 16th and 84th percentile data (see Supporting Information for a full discussion of data analysis). To test for spectral similarity, the Wilcox rank-sum test was performed on a wavelength-by-wavelength basis using post-processed data; uncertainties were asymmetric about the median and the number of data points in each spectrum were not equivalent necessitating the use of a non-parametric test. Spectra with > 4 out of 8 data points possessing a statistically significant (p < 0.01) difference from all other spectra were considered distinct.
TEM characterization
Size- and mass-selected SWP were collected on TEM grids (200-mesh copper grids coated with lacey carbon film) using an electrostatic aerosol precipitator at −9.3 kV collection voltage, and an aerosol flow of 0.5 L min−1. TEM images were collected at an accelerating voltage of 200 kV.
RESULTS
Particle Characterization
Low temperature combustion produces primarily liquid particles formed from the condensation of gaseous organic compounds minimizing the formation of BC.27 Figure 2 shows TEM images of Oak and Blue spruce SWP at mp = 270 fg (Dm = 750 nm) and the white arrows designate selected regions of the underlying TEM grid. No aggregated solid particles (i.e. BC)39,40 were observed. Instead, the grids are nearly universally coated by a thin liquid layer with membranes spanning the individual TEM grid fibers suggesting the particles conform to the grid upon impact, similar to previous observations of BB particles41 (see Supporting Information for additional TEM images). For reference, the scale bars in Figure 2 correspond to 1000 nm and the selected particle mobility diameters were 750 nm. Thus, each image likely contains material from a single particle (Oak, Figure 3a) or a couple of particles (Blue spruce, Figure 3b).
Figure 2.
TEM images of collected from a) Oak and b) Blue spruce mp = 270 fg (Dm = 750 nm) SWP. Liquid-like material forms coatings on the TEM grid and membranes at grid junctions. Scale bars are 1000 nm. White arrows point towards the underlying TEM grid.
Figure 3.
Median MAC of oak SWP as a function of particle mass (bottom axis) and mobility diameter (top axis). Uncertainties in MAC represent the 16th and 84th percentiles (i.e. 1σ). Solid black line and greyed area represent the median MAC and uncertainty across all measured data at all masses, respectively. Inset shows Cabs as function of particle mass (mp). Solid black line represents fit of data and greyed area represents uncertainty of fit. Slope is MAC for the range of measured mp.
SWP Density Measurements
Particle densities from SWP were determined for the six wood species under investigation using mass distributions from mobility selected particles.32,36,37 Particle densities ranged between 1.31 g cm−3 for Blue spruce and Baldcypress up to 1.51 g cm−3 for Mesquite, see Table 1. These values are similar to densities derived from mobility and microbalance measurements of organic carbon from BB and densities calculated from compositional analysis of particles collected during flaming combustion from a variety of North American biomass.14,22
Table 1.
Measured effective density, median MAC, AAE and calculated mass % BC, BrC MAC and AAE
| Species | Effective Density (g cm−3) |
Median MAC (× 10−2 m2 g−1)a |
AAE a | Mass % BCb |
BrC MAC (× 10−2 m2 g−1)c |
BrC AAEc |
|---|---|---|---|---|---|---|
| Oakd | 1.41 (0.04) | 2.5 (0.76/4.3) | 5.5 (4.8/4.7) | 0.09 | 1.1 | 11 |
| Hickoryd | 1.44 (0.05) | 7.0 (4.0/11) | 3.8 (4.0/4.7) | 0.4 | 3.7 | 7.0 |
| Mesquited | 1.51 (0.03) | 7.9 (6.0/12) | 3.5 (3.5/4.2) | 0.4 | 4.6 | 7.2 |
| Western redcedare | 1.36 (0.03) | 1.4 (0.81/2.6) | 5.2 (5.6/4.3) | 0.07 | 0.77 | 10 |
| Blue sprucee | 1.35 (0.02) | 1.4 (0.039/4.7) | 6.2 (3.9/3.4) | 0.09 | 0.069 | 35 |
| Baldcypresse | 1.35 (0.01) | 4.3 (3.0/6.6) | 4.1 (3.6/5.5) | 0.3 | 0.90 | 16 |
λ = 550 nm value calculated from AAE fit (Eq. 2) of average values spanning λ = 500 nm to 840 nm. Values in parenthesis are the values from fits of the 16th and 84th percentile data.
Upper bound of BC % mass. Assumes no refractive index matching.
λ = 550 nm value calculated assuming all absorption at λ = 840 nm is due to BC. See discussion in text.
hardwood
softwood
Smoldering Wood Absorption
Wood smoldering produced particles across a broad mass range. Particles were initially mobility classified (Dm) and subsequently mass selected (mp) prior to entering the PAS, allowing all measurements to be reported on a per mass basis (a SI traceable quantity) versus electrical mobility which is morphology dependent. SWP were first measured at a single wavelength (660 nm) to study particle absorption as a function of mp, see Figure 3. The MAC of oak SWP was 1.1 (0.57/1.8) × 10−2 m2 g−1 at λ = 660 nm for particles between 83 fg and 517 fg (500 nm ≤ Dm ≤ 950 nm). Each data point represents an independent experiment where the wood sample was replaced and smoldering was initiated. The variability in measured MAC is dominated by inter-experiment variability (e.g. sample-to-sample variability) and not intra-experiment variability. The solid black line and shaded area represent the measured median (1.1 × 10−2 m2 g−1) and the 16th (0.57 × 10−2 m2 g−1) and 84th (1.8 × 10−2 m2 g−1) percentiles (i.e. 1σ), respectively, across all data. The inset of Figure 3 shows Cabs as a function of mass, the slope of the linear fit is MAC for the range of measured mp (9.7 ± 1.0) × 10−3 m2 g−1; uncertainty is 1 standard deviation of the linear fit of Cabs vs. mp without regard to underlying Cabs uncertainties. Importantly, within experimental uncertainties, BrC MAC is independent of mp across the measured mass range (i.e. particles are behaving as volume absorbers).42 Considering the absolute magnitude of MAC measured at λ = 660 nm, the linear relationship of Cabs with mp will hold across the entire range of measured wavelengths (see Supporting Information).
For Oak SWP, Cabs at λ = 660 nm scales linearly with mass thereby demonstrating that only a single size and mass combination was necessary to determine MAC for each wood specie. Spectroscopic measurements were performed where the largest mass concentration (Dm = 750 nm, mp ≈ 270 fg) and hence absorption coefficients were obtained, as shown by Eq. 1: αabs = M·MAC. The measured values of MAC were similar enabling the single size and mass combination to be used for all wood species.
Figure 4 shows the MAC spectra of mass-selected (Dm = 750 nm) SWP for wood six species; data points represent the median measured data collected from between 15 and 70 absorption spectra per smoldering experiment. Shaded regions represent the 16th and 84th percentiles (i.e. 1σ). Solid and dashed lines represent AAE fits to the median and 16th and 84th percentiles, respectively; median MAC at λ = 550 nm (MACλ,0 in Eq. 2) and AAE are shown in Table 1 with percentiles shown in parenthesis. All data was well described using Eq. 2 with the exception of Baldcypress. Eq. 2 is typically only used in discrete pairwise calculations due to a lack of spectral resolution. The presented in-situ SWP absorption data have the highest reported spectral resolution to date and all of the measured data was used to fit to the noted power law dependence. However, the spectra may indicate the presence of more complex wavelength dependencies than can be described by a single power law, suggesting that multiple AAEs, may be required.13
Figure 4.
Measured MAC as a function of wavelength for SWP from six species of wood. Open circles and shaded areas represent the median MAC values and the 16th and 84th percentiles (i.e. 1σ) at each wavelength, respectively; solid and dashed lines represent AAE fits to the median and 16th and 84th percentile values, respectively. Wood species distribution is shown on map at bottom and correspond to the colors of each species absorption spectrum. Map was generated from level 1 global administrative area basemaps43 overlaid with tree species range maps44 using geographic information systems software.
The measured SWP MAC were two orders of magnitude lower than the cited MAC of BC7,45 with the highest measured median MAC = 7.9 (6.0/12) × 10−2 m2 g−1 for Mesquite at λ = 550 nm; values in parenthesis are the 16th and 84th percentiles of the measured data. The strongest absorbing particles, Mesquite and Hickory, have MAC values about 5 times greater than that of the weakest absorbers, Oak and Western redcedar. The MAC and AAE values of the 6 wood species measured compare well to the suggested values by Reid, et al. (2005)46 who conducted an extensive review of smoldering forest fire data and concluded that the MAC of particles emitted during smoldering are < 0.3 m2 g−1 at λ = 550 nm; these data suggest that a generalized wood-type independent value for smoldering MAC of < 0.1 m2 g−1 may be more accurate. Previously, Chakrabarty, et al. (2016)19 measured a MAC of 3 × 10−2 m2 g−1 to 7 × 10−2 m2 g−1 at λ = 532 nm for smoldering peat samples (50% moisture content) while Hoffer, et al. (2006)14 measured MAC of 2.9 × 10−2 m2 g−1 to 3.1 × 10−2 m2 g−1 at λ = 532 nm for fine-fraction isolates of Amazon basin biomass-burning aerosol. Both of these previous values compare well to the results reported in this study.
BC Contribution
Following the convention used in other investigations, it can be assumed that BrC does not absorb significantly in the in near-IR spectral region (λ = 840 nm) and that all absorption at 840 nm corresponds to BC. Using this assumption, the estimated BC contribution is a maximum of 0.4 % by mass (Mesquite, see Table 1), but is likely closer to 0.1 % by mass by taking into account refractive index matching47,48 (see Supporting Information). If present, the BC per particle is below the detection limit of even the most sensitive current in-situ BC techniques, consistent with the lack of observed BC in the presented SWP TEM images. Subtracting the noted BC spectral contribution increased the calculated AAE to between 7.0 and 35 (see Table 1) similar to results from smoldering peat using the same fitting routine.4
DISCUSSION
The present data, to our knowledge, represent the first direct, in-situ MAC spectra of SWP. MAC is directly calculated from three measured quantities (absorption coefficients, mass and number density) that, more importantly, do not require any assumptions of particle chemical composition, material density or morphology as is required for filter-based solvent-extraction or compositional analysis measurements. In this investigation, the instrumental calibration uncertainties are on the order of few percent (see Supporting Information). As a result, unlike these other methods, the MAC and wavelength dependencies are dominated by the variability in particle absorption (Type A uncertainty) allowing for quantitative comparison between spectra.
Using the Wilcox rank-sum test, point-by-point comparison of the individual SWP absorption spectra reveals that Oak, Western redcedar and Blue spruce are statistically similar (p > 0.05) while Hickory, Mesquite and Baldcypress were each distinct (p < 0.01); see Supporting Information for analysis statistics. The data suggest that, for smoldering biomass, MAC and spectral shape can be species dependent.
The measured absorption spectra are likely influenced by wood composition. Wood is composed of lignin, cellulose, hemicellulose (HC), and extractives. Lignin is a phenolic biopolymer residing between wood cell walls that thermally degrades slowly between 225 °C and 700 °C.33,49 Cellulose forms the fibrous tissue in wood and is composed of up to 103 glucose units arranged in a multilayered, hydrogen bonded structure that make it thermally stable up to 800 °C.33 HC comprises wood cell walls that accounts for up to 50 % of wood's mass. Nearly 90 % of the HC in deciduous trees (encompassing most hardwood species) are xylans, a family of xylose polysaccharides, that thermally degrade between 200 °C and 300 °C.33 Softwood species HC is additionally composed of glucomannan (a branched polysaccharide) and arabinogalactan (an arabinose and galactose monosaccharide), both of which thermally degrade over the same temperature range as xylans. Extractives are non-structural constituents that are chemically distinct for each wood specie that account for ≈ 1% by mass. Unlike structural components, the composition and mass percentage of extractives may vary greatly in different parts of biomass (wood, bark, needles, leaves). Hardwood extractives consist of fatty acids and phenolic compounds (stilbenes, lignans, etc) while softwood extractives are mostly resins of terpenes and terpene derivatives.33
Thermocouple readings taken within the smoldering chamber were < 280 °C, below the flaming initiation temperature for hardwoods (300 °C) and softwoods (350 °C), minimizing BC formation.50 Thermal decomposition via smoldering is initiated by xylose thermolysis, forming and releasing acetic and formic acids. Both acids catalyze HC thermal decomposition releasing a mixture of gaseous products and condensable species.51 The products formed from HC and extractive thermal degradation and release have been shown to be chemically distinct for each wood specie. For example, the condensed phase emissions of Scots pine (pinus sylvestris) heated between 200 °C and 260 °C measured 21% H2O, 8% acetic acid, 5% formic acid, nearly 4 % methanol and the balance was a mixture of organic species.52 Smoldering Northern spruce (picea abies) thermal decomposition products were 90% acetic and formic acids by mass with a few percent each of fatty acids, resins and phenolic compounds.53 Lastly, studies that heated a range of biomass types between 250 °C and 300 °C collected light brown, viscous tar-like products, consistent with the presented TEM images and spectroscopic measurements.52
Previous studies of BB have been divided whether fuel type or combustion conditions have the largest influence on particle optical properties. Correlations of the light absorbing carbon contained in aerosol and the calculated imaginary refractive index have been demonstrated,22 while other studies suggest that particle absorption is independent of biomass fuel type but dependent on burn conditions (ratio of smoldering to flaming combustion).31 The data reported in this investigation of particles produced from controlled low temperature smoldering indicates that both MAC and AAE can be influenced by fuel type. Measured particle absorption spectra from six wood species showed that the SWP MAC and spectral shape of three species were statistically distinct while three were statistically similar. The six wood species had measured median MAC values spanning between 0.014 m2 g−1 and 0.079 m2 g−1 at λ = 550 nm and AAEs ranging from 3.5 (Mesquite) to 6.2 (Blue spruce).
Supplementary Material
Footnotes
ASSOCIATED CONTENT
Supporting Information. Contains additional TEM images of Oak and Blue spruce particles. Description of the data analysis procedure and Oak SWP smoldering stability is presented. Calculations of Oak refractive index at λ = 660 nm from Cabs data is presented. Refractive index is then extended to λ = 500 nm and 840 nm to demonstrate MAC mass independence over the range of particle sizes measured. Details on the calculation of BC mass fraction and instrumental uncertainties are presented. Finally, spectral correlation tables for the Wilcox Rank-sum calculations are included. Supporting Information is available free of charge on the ACS Publications website.
Author Contributions
The manuscript was written through contributions of all authors. All authors have given approval of the final version of the manuscript.
The authors declare no competing financial interests.
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