Atmos. Chem. Phys., 12, 11885–11887, 2012 www.atmos-chem-phys.net/12/11885/2012/ doi:10.5194/acp-12-11885-2012 © Author(s) 2012. CC Attribution 3.0 License.
Atmospheric Chemistry and Physics
Corrigendum to “Reactive processing of formaldehyde and acetaldehyde in aqueous aerosol mimics: surface tension depression and secondary organic products” published in Atmos. Chem. Phys., 11, 11617–11629, 2011 Z. Li, A. N. Schwier, N. Sareen, and V. F. McNeill Department of Chemical Engineering, Columbia University, New York, NY, 10027, USA Correspondence to: V. F. McNeill (
[email protected])
1ρgd 2
In Eq. (1), a “g” term should be in the numerator, σ = H e In Eq. (3), “Ci ” should be replaced by “C”, and defined as the total soluble organic carbon X σ = σo (T ) − χi ai T ln(1 + bi C) i
In Sect. 3.1.2, the new calculated error of the prediction for mixtures of MG and acetaldehyde is less than 10 %. The corrected tables and figures are shown on the following pages.
CMethylglyoxal (mol C/kg H2O)
B
CMethylglyoxal (mol C/kg H2O)
0.14 0.12 0.10 0.08 0.06 0.04
72 68
64 60 0.00
1.4 1.2 1.0 0.8 0.6 0.4
-1 Surface Tension (dyn cm )
76
0.02
0.04
0.06 CAcetaldehyde (mol C/kg H2O)
C -1 Surface Tension (dyn cm )
Results
A -1 Surface Tension (dyn cm )
We have found a numerical error in our paper “Reactive processing of formaldehyde and acetaldehyde in aqueous aerosol mimics: surface tension depression and secondary organic products” by Z. Li et al. (Atmos. Chem. Phys., 11, 11617–11629, 2011). The Szyszkowski-Langmuir equation fit parameters, a and b, of acetaldehyde/(NH4 )2 SO4 solutions were calculated incorrectly, affecting the surface tension modeling predictions of complex mixtures. We have recalculated all the data using the correct fit parameters, so the tables and figures supplied in this corrigendum should be substituted for the tables and figures given in the article and supplemental information. Our conclusions are not affected by this error: the surface tension depression of complex mixtures does still exceed that predicted by an additive model based on single species isotherms, however the difference between the model prediction and experimental data is now smaller.
60 58 56
54 52 50
48 46 0.0
0.2 0.4 0.6 0.8 CAcetaldehyde (mol C/kg H2O)
CMethylglyoxal (mol C/kg H2O) 1.4 1.2 1.0 0.8 0.6 0.4 65
60 55 50
0.0 0.1 0.2 0.3 CFormaldehyde (mol C/kg H2O)
Figure 2. Surface tension of binary mixtures of acetaldehyde or formaldehyde with MG in 3.1 M
Fig. 2. Surface of binary was mixtures of oracetaldehyde orblack line AS solutions. The totaltension organic concentration 0.05 M (A) 0.5 M (B, C). The formaldehyde with MG in 3.1 M AS solutions. The total organic shows Henning model predictions (Eq. 3) using the parameters listed in Table 1. The grey lines concentration was 0.05 M (A) or 0.5 M (B, C). The black line shows show the confidence interval of the model predictions. Red: MG in AS (based on the Henning model predictions (Eq. 3) using the parameters listed in Szyszkowski-Langmuir equation (Eq. 2), using the parameters in Table 1). Blue: acetaldehyde Table 1. The grey lines show the confidence interval of the model (A and B) or Formaldehyde (C) with MG in 3.1 M AS solutions. predictions. Red: MG in AS (based on the Szyszkowski-Langmuir equation (Eq. 2), using the parameters in Table 1). Blue: acetaldehyde (A and B) or Formaldehyde (C) with MG in 3.1 M AS solutions.
Published by Copernicus Publications on behalf of the European Geosciences Union.
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Z. Li et al.: Corrigendum
A
CMethylglyoxal (mol C/kg H2O)
CMethylglyoxal (mol C/kg H2O)
B
70
68 66 64 62 60
58 0.8
1.2
CAcetaldehyde (10
C
-2
1.6
0.06
70
68 66 64 62 60
58 1.0
mol C/kg H2O)
0.10
70 68 66 64
62 60
1.5 2.0 2.5 3.0 3.5 -2 mol C/kg H2O)
CAcetaldehyde (10
2.0 -2
2.5
3.0
mol C/kg H2O)
CMethylglyoxal (mol C/kg H2O)
D
0.04
72
1.5
CFormaldehyde (10
-1 Surface Tension (dyn cm )
0.08
72
2.0
CMethylglyoxal (mol C/kg H2O) 0.10
-1 Surface Tension (dyn cm )
0.12 0.10 0.08 0.06 0.04
-1 Surface Tension (dyn cm )
-1 Surface Tension (dyn cm )
0.12 0.10 0.08 0.06 0.04 72
0.08
0.06
0.04
72 70 68 66 64
62 60
0.8 1.2 1.6 -2 CFormaldehyde (10 mol C/kg H2O)
Figure 4. Surface tension data for ternary (acetaldehyde, formaldehyde and MG) mixtures in 3.1
Fig. 4. Surface tension data for ternary (acetaldehyde, formaldehyde and MG) mixtures in 3.1 M AS solutions. The molar ratios of M AS solutions. The molar ratios of acetaldehyde to formaldehyde are 1:3 (A and B) and 1:1 (C acetaldehyde to formaldehyde are 1 : 3 (A and B) and 1 : 1 (C and D). The total organic concentration was constant at 0.05 M. The black line D). The organic concentration was 1. constant at 0.05 M. The black shows Henning shows Henning model predictionsand using the total parameters listed in Table The grey lines show theline confidence interval of the predicted data. model predictions using the parameters listed in Table 1. The grey lines show the confidence interval of the predicted data.
Table 1. Szyszkowski-Langmuir Fit Parameters according to Eq. (2). Mixture Methylglyoxal + 3.1 M (NH4 )2 SO4 (Sareen et al., 2010) Acetaldehyde + 3.1 M (NH4 )2 SO4 Formaldehyde + 3.1 M (NH4 )2 SO4 Acetaldehyde + H2 O
Atmos. Chem. Phys., 12, 11885–11887, 2012
σ0 (dyn cm−1 )
a (dyn cm−1 K−1 )
b (kg H2 O (mol C)−1 )
78.5 78.5 78.5 72.0
0.0185 ± 0.0008 0.0260 ± 0.0048 0.0119 ± 0.0043 0.0037 ± 0.0011
140 ± 34 8.93 ± 3.61 50.23 ± 44.8 491.64 ± 689
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Z. Li et al.: Corrigendum
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Table S1. Calculated errors between the Henning model predictions (using Eq. 3) and experimentally measured surface tension values. Total Organic Concentration
Species
(mol L−1 )
MG*
Acet*
Form*
(mol C kg−1 H2 O)
MG Acet : Form = 1 : 3
0.05 MG Acet : Form = 1 : 1
MG/Acet
MG/Acet 0.5 MG/Form
Model Prediction
Measured Data
(dyn cm−1 )
Error (%)
0.030
0.020
0.030
70.137
67.438
3.849
0.060
0.015
0.022
67.185
64.438
4.089
0.090
0.010
0.015
64.878
61.822
4.711
0.120
0.005
0.007
63.007
59.159
6.107
0.113
0.013
0.006
63.563
60.105
5.440
0.075
0.025
0.012
66.186
63.105
4.656
0.038
0.038
0.019
69.534
68.249
1.848
0.038
0.075
N/A
69.716
66.407
4.746
0.075
0.051
N/A
66.512
62.575
5.920
0.113
0.025
N/A
63.790
60.465
5.213
1.153
0.259
N/A
50.963
47.388
7.016
0.770
0.518
N/A
53.492
50.389
5.801
0.385
0.778
N/A
56.601
54.454
3.793
1.148
N/A
0.126
51.258
48.046
6.267
0.763
N/A
0.252
54.451
50.638
7.003
0.381
N/A
0.377
59.093
56.334
4.669
∗ MG: Methylglyoxal; Acet: Acetaldehyde; Form: Formaldehyde
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Atmos. Chem. Phys., 12, 11885–11887, 2012