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Supporting Information for:

“Sources and mixing state of size-resolved elemental carbon particles in a European megacity: Paris”

Robert M. Healy1, Jean Sciare2, Laurent Poulain3, Katharina Kamili3, Maik Merkel3, Thomas Müller3, Alfred Wiedensohler3, Sabine Eckhardt4, Andreas Stohl4, Roland Sarda-Estève2, Eoin McGillicuddy1, Ian P. O’Connor1, John R. Sodeau1, John C. Wenger1

1Department of Chemistry and Environmental Research Institute, University College Cork, Ireland

2LSCE, Laboratoire des Sciences du Climat et de l’Environnement, CEA-CNRS-UVSQ, Gif- sur-Yvette, France

3Leibniz Institute for Tropospheric Research, Leipzig, Germany

4Norsk Institutt for Luftforskning, Kjeller, Norway

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Fig. S1: Box-plot of hourly size-dependent scaling factors for the entire measurement period (n = 624). Median, 75th percentile and 90th percentile are denoted by the solid line, box and whisker respectively.

Scaling Procedure:

The scaling factors employed here were observed to be strongly dependent upon particle size, but the magnitude of the factors is similar to that observed in previous studies involving the use of laser particle counters, aerodynamic particle sizers and scanning mobility particle sizers to scale ATOFMS particle number concentrations (Wenzel et al., 2003; Qin et al., 2006; Pratt et al., 2009). The size bin width was generated by merging adjacent pairs of TDMPS size bins because the original size bins were found to be too narrow, resulting in low ATOFMS hourly counts in some bins during certain periods of the measurement campaign.

The uncertainty associated with the TDMPS particle number concentrations in the size range used here (100-712 nm, mobility diameter) is estimated to be < 2% (Birmili et al., 1999). The bins used are wider than those used previously by Pratt et al (2009) but narrower than those used by Wenzel et al (2003) and Qin et al (2006). The bin width was not increased any further because, although this would reduce the magnitude of the scaling factors required, information on the size-dependence of the elemental carbon particle mass associated with different sources would be lost.

102 103 104 105

Scaling factor

150-191 nm 191-244 nm 244-312 nm 312-399 nm 399-511 nm 511-653 nm 653-835 nm 835-1067 nm

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Fig. S2: ATOFMS total scaled particle mass concentration (150-1067 nm, dva, left axis), sum of AMS total mass (ammonium + chloride + nitrate + sulfate + organics) + MAAP BC mass concentration (left axis), and FDMS-TEOM PM2.5 mass concentration (right axis).

60

50

40

30

20

10

(AMS+MAAP)/ATOFMS Mass concentration (µg m-3 )

15/01/2010 16/01/2010

17/01/2010 18/01/2010

19/01/2010 20/01/

2010 21/01/2010

22/01/2010 23/01/2010

24/01/2010 25/01/

2010 26/01/2010

27/01/2010 28/01/2010

29/01/2010 30/01/2010

31/01/2010 01/02/2010

02/02/2010 03/02/2010

04/02/2010 05/02/

2010 06/02/2010

07/02/2010 08/02/2010

09/02/2010 10/02/

2010 11/02/2010 Date

80

60

40

20 FDMS-TEOM Mass concentration (µg m -3)

Period I Period II Period III Period IV

*

AMS total mass+MAAP BC mass ATOFMS total scaled mass FDMS-TEOM PM2.5 mass

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Fig. S3: Lognormal fit of the average scaled ATOFMS mass size distribution for EC particles extrapolated below 150 nm. Only the the size bins covering the size range of the smaller mode (150-400 nm) were used to generate the lognormal curve. The mass contribution below 150 nm is ~9% of the total.

Fig. S4: ATOFMS scaled mass concentration for ECOCSOx and ECOCNOx particles (left axis) compared with mass concentrations of ammonium, nitrate and sulfate from the AMS (right axis).

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Fig. S5: Potential emission sensitivity (left) and average mass size distribution for the 4 ATOFMS EC classes (right) on 18/01/2010. The numbers in the potential emission sensitivity plot corresponds to the air mass age in days, and are positioned on the centroid of the retroplume position at that time.

Fig. S6: Windrose for 18/01/2010 (left) and meteorological data for the period of interest (right). Meteorological data provided by Meteo France, Parc Montsouris, (48°49'18N.

2°20'12E. 75m a.s.l.), approximately 1.5 km from LHVP.

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Fig. S7: Photograph taken at LHVP at 11:30 on 18/01/2010

Fig. S8: Difference mass spectra for ECOCSOx (top) and ECOCNOx (bottom) particles below and above 400 nm (dva) on 18/01/2010. Relative intensity difference above the line indicates enhancement of these species in the larger particles.

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Fig. S9: Comparison of Sunset analyzer thermal/optical EC and aethalometer BC

7

6

5

4

3

2

1

0 Mass concentration g m-3 )

15/01/

2010 16/01/2010

17/01/2010 18/01/2010

19/01/2010 20/01/2010

21/01/

2010 22/01/2010

23/01/2010 24/01/2010

25/01/2010 26/01/2010

27/01/2010 28/01/

2010 29/01/2010

30/01/2010 31/01/2010

01/02/2010 02/02/2010

03/02/

2010 04/02/2010

05/02/2010 06/02/2010

07/02/2010 08/02/2010

09/02/2010 10/02/2010

11/02/2010 Date

Period I Period II Period III Period IV

*

Sunset EC Aethalometer BC

y = 0.9353x + 0.0714 R² = 0.864

0 1 2 3 4 5 6 7

0 1 2 3 4 5 6 7

Aethalometer BC (µg m-3)

Sunset thermal/optical EC µg m-3)

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Fig. S10: Comparison of Sunset thermal/optical EC and MAAP BC

7

6

5

4

3

2

1

0 Mass concentration g m-3 )

15/01/

2010 16/01/2010

17/01/2010 18/01/2010

19/01/2010 20/01/2010

21/01/

2010 22/01/2010

23/01/2010 24/01/2010

25/01/2010 26/01/2010

27/01/2010 28/01/

2010 29/01/2010

30/01/2010 31/01/2010

01/02/2010 02/02/2010

03/02/

2010 04/02/2010

05/02/2010 06/02/2010

07/02/2010 08/02/2010

09/02/2010 10/02/2010

11/02/2010 Date

Period I Period II Period III Period IV

*

Sunset EC MAAP BC

y = 0.7936x + 0.1527 R² = 0.9224

0 1 2 3 4 5 6 7

0 1 2 3 4 5 6 7

Sunset thermal/optical EC (µg m-3)

MAAP BC (µg m-3)

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Fig. S11: Comparison of aethalometer BC and MAAP BC

7

6

5

4

3

2

1

0 Mass concentration g m-3 )

15/01/

2010 16/01/2010

17/01/2010 18/01/2010

19/01/2010 20/01/2010

21/01/

2010 22/01/2010

23/01/2010 24/01/2010

25/01/2010 26/01/2010

27/01/2010 28/01/

2010 29/01/2010

30/01/2010 31/01/2010

01/02/2010 02/02/2010

03/02/

2010 04/02/2010

05/02/2010 06/02/2010

07/02/2010 08/02/2010

09/02/2010 10/02/2010

11/02/2010 Date

Period I Period II Period III Period IV

*

Aethalometer BC MAAP BC

y = 1.1633x + 0.015 R² = 0.9382

0 1 2 3 4 5 6 7 8

0 1 2 3 4 5 6 7

MAAP BC (µg m-3)

Aethalometer BC (µg m-3)

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Fig. S12: Comparison of ATOFMS EC particle mass and MAAP BC

6

5

4

3

2

1 Mass concentration g m-3 )

15/01/

2010 16/01/2010

17/01/2010 18/01/2010

19/01/2010 20/01/2010

21/01/

2010 22/01/2010

23/01/2010 24/01/2010

25/01/2010 26/01/2010

27/01/2010 28/01/

2010 29/01/2010

30/01/2010 31/01/2010

01/02/2010 02/02/2010

03/02/

2010 04/02/2010

05/02/2010 06/02/2010

07/02/2010 08/02/2010

09/02/2010 10/02/2010

11/02/2010 Date

Period I Period II Period III Period IV

*

ATOFMS EC particle mass MAAP BC

y = 1.005x - 0.0816 R² = 0.6831

0 1 2 3 4 5 6 7

0 1 2 3 4 5 6

MAAP BC g m-3)

ATOFMS EC particle mass (µg m-3)

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Fig. S13: Comparison of ATOFMS EC particle mass and Sunset thermal/optical EC.

Temporal trends are given in Fig. 7.

y = 0.788x + 0.1073 R² = 0.6149

0 1 2 3 4 5 6 7

0 1 2 3 4 5 6

Sunset thermal/optical EC g m-3)

ATOFMS EC particle mass (µg m-3)

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Fig. S14: Comparison of ATOFMS EC particle mass and aethalometer BC

7

6

5

4

3

2

1

0 Mass concentration g m-3 )

15/01/

2010 16/01/2010

17/01/2010 18/01/2010

19/01/2010 20/01/2010

21/01/

2010 22/01/2010

23/01/2010 24/01/2010

25/01/2010 26/01/2010

27/01/2010 28/01/

2010 29/01/2010

30/01/2010 31/01/2010

01/02/2010 02/02/2010

03/02/

2010 04/02/2010

05/02/2010 06/02/2010

07/02/2010 08/02/2010

09/02/2010 10/02/2010

11/02/2010 Date

Period I Period II Period III Period IV

*

ATOFMS EC particle mass Aethalometer BC

y = 0.8143x + 0.0157 R² = 0.6485

0 1 2 3 4 5 6 7

0 1 2 3 4 5 6

Aethalometer BCg m-3)

ATOFMS EC particle mass (µg m-3)

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Effect of varying particle density upon scaled mass concentration:

Particle densities of 1.3 and 1.7 g cm-3 have also been explored in order to investigate the effect of varying particle density upon the resultant mass concentrations obtained for ATOFMS EC particle mass (Figs. S15-18). In brief, using either 1.3 or 1.7 g cm-3 results in very little change to the temporality of the total scaled EC mass (R2 = 0.97 and 0.98 respectively when compared to using a density 1.5). However, the slope and therefore mass concentration values are affected (slope = 1.02 and 0.78 for 1.3 and 1.7 g cm-3 respectively, when compared to a density of 1.5 g cm-3). Slightly higher mass concentrations are observed using a density of 1.3 g cm-3, and lower mass concentrations are observed using a density of 1.7 g cm-3. This effect arises because the density value is used to “convert” the aerodynamic diameter (dva) to a corresponding mobility diameter (dm) in order to scale the particle counts to the TDMPS data. For example, employing a higher density (1.7 g cm-3) requires the use of lower mobility diameter bins from the TDMPS compared to those used for a density of 1.5 g cm-3. The centroids of those smaller dm bins are also used to estimate particle volume (assuming spherical shape), and thus the particle volume estimate for a density of 1.7 g cm-3 is lower than that obtained for a density of 1.5 g cm-3. When converting from volume to mass concentration, the volume is multiplied by the density and this offsets the effect of using smaller diameter bins for the volume calculations to an extent, but not completely.

Ultimately, no single density value is perfectly suitable for such a calculation because different particle types will exhibit different particle densities. Although single density values have been demonstrated to work reasonably well for converting ATOFMS data to PM1 mass concentrations (Qin et al., 2006), simultaneous measurement of dva and dm, or an optical scattering measurement of effective density for each particle remains the best way to tackle this problem, especially for non-spherical soot particles (DeCarlo et al., 2004; Moffet and Prather, 2009). In the absence of such measurements, the value of 1.5 g cm-3 has been chosen because it corresponds to the best estimate available for the bulk density of the particle ensemble for this campaign.

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Fig. S15: Top: Comparison of total scaled hourly ATOFMS EC particle mass concentration (assuming a particle density of 1.3 g cm-3) and hourly average Sunset thermal/optical EC mass concentration. Middle: Scaled ATOFMS mass concentration for the sum of ECtraffic, ECOCSOx and ECOCNOx (assuming a particle density of 1.3 g cm-3) compared with hourly average modelled aethalometer BCff mass concentration. Bottom: Scaled ATOFMS mass concentration for ECbiomass (assuming a particle density of 1.3 g cm-3) compared with hourly average modelled aethalometer BCbb mass concentration.

2.0 1.5 1.0 0.5 0.0 Mass concentration g m-3 )

15/01/2010 16/01/2010

17/01/2010 18/01/2010

19/01/2010 20/01/2010

21/01/2010 22/01/2010

23/01/2010 24/01/2010

25/01/2010 26/01/2010

27/01/2010 28/01/2010

29/01/2010 30/01/2010

31/01/2010 01/02/2010

02/02/2010 03/02/2010

04/02/2010 05/02/2010

06/02/2010 07/02/2010

08/02/2010 09/02/2010

10/02/2010 11/02/2010 Date

8 6 4 2 0 6

4

2

0

Period I Period II Period III Period IV

*

Aethalometer BCff

ATOFMS ECtraffic+ECOCSOx+ECOCNOx(density 1.3)

Aethalometer BCwb

ATOFMS ECbiomass (density 1.3) Sunset thermal/optical EC mass

Total scaled ATOFMS EC mass (density 1.3 )

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Figure S16: Comparison of ATOFMS scaled EC mass concentration derived using density values of 1.3 and 1.5 g cm-3.

y = 1.0205x + 0.0764 R² = 0.9741

0 1 2 3 4 5 6 7

0 1 2 3 4 5 6

ATOFMS EC mass (µg m-3) using density of 1.3 g cm-3

ATOFMS EC mass (µg m-3) using a density of 1.5 g cm-3

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Fig. S17: Top: Comparison of total scaled hourly ATOFMS EC particle mass concentration (assuming a particle density of 1.7 g cm-3) and hourly average Sunset thermal/optical EC mass concentration. Middle: Scaled ATOFMS mass concentration for the sum of ECtraffic, ECOCSOx and ECOCNOx (assuming a particle density of 1.7 g cm-3) compared with hourly average modelled aethalometer BCff mass concentration. Bottom: Scaled ATOFMS mass concentration for ECbiomass (assuming a particle density of 1.7 g cm-3) compared with hourly average modelled aethalometer BCbb mass concentration.

2.0 1.5 1.0 0.5 0.0 Mass concentration g m-3 )

15/01/2010 16/01/2010

17/01/2010 18/01/2010

19/01/2010 20/01/2010

21/01/2010 22/01/2010

23/01/2010 24/01/2010

25/01/2010 26/01/2010

27/01/2010 28/01/2010

29/01/2010 30/01/2010

31/01/2010 01/02/2010

02/02/2010 03/02/2010

04/02/2010 05/02/2010

06/02/2010 07/02/2010

08/02/2010 09/02/2010

10/02/2010 11/02/2010 Date

8 6 4 2 0 6

4

2

0

Period I Period II Period III Period IV

*

Aethalometer BCff

ATOFMS ECtraffic+ECOCSOx+ECOCNOx(density 1.7)

Aethalometer BCwb

ATOFMS ECbiomass (density 1.7) Sunset thermal/optical EC mass

Total scaled ATOFMS EC mass (density 1.7)

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Figure S18: Comparison of ATOFMS scaled EC mass concentration derived using density values of 1.7 and 1.5 g cm-3.

References

Birmili, W., Stratmann, F., and Wiedensohler, A.: Design of a DMA-based size spectrometer for a large particle size range and stable operation, J. Aerosol Sci., 30, 549-553, 1999.

DeCarlo, P. F., Slowik, J. G., Worsnop, D. R., Davidovits, P., and Jimenez, J. L.: Particle morphology and density characterization by combined mobility and aerodynamic diameter measurements. Part 1: Theory, Aerosol Sci. Technol., 38, 1185-1205, 2004.

Moffet, R. C., and Prather, K. A.: In-situ measurements of the mixing state and optical properties of soot with implications for radiative forcing estimates, P. Natl. Acad. Sci., 106, 11872-11877, 2009.

Pratt, K. A., Mayer, J. E., Holecek, J. C., Moffet, R. C., Sanchez, R. O., Rebotier, T. P., Furutani, H., Gonin, M., Fuhrer, K., Su, Y., Guazzotti, S., and Prather, K. A.:

Development and Characterization of an Aircraft Aerosol Time-of-Flight Mass Spectrometer, Anal. Chem., 81, 1792-1800, 2009.

y = 0.7787x - 0.0292 R² = 0.9786

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5

0 1 2 3 4 5 6

ATOFMS EC mass (µg m-3) using density of 1.7 g cm-3

ATOFMS EC mass (µg m-3) using density of 1.5 g cm-3

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Qin, X., Bhave, P. V., and Prather, K. A.: Comparison of Two Methods for Obtaining Quantitative Mass Concentrations from Aerosol Time-of-Flight Mass Spectrometry Measurements, Anal. Chem., 78, 6169-6178, 2006.

Wenzel, R. J., Liu, D.-Y., Edgerton, E. S., and Prather, K. A.: Aerosol time-of-flight mass spectrometry during the Atlanta Supersite Experiment: 2. Scaling procedures, J.

Geophys. Res., 108, 8427, 10.1029/2001JD001563, 2003.

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