Appendix
The appendix contains the results of the calculations of mass apportionment to each of the stages of the NGI and ACIfor each of the 20 input unimodal and log-normal APSDs described in Table 2 of the main article. The size ranges listed in the first column of each table refer either to the stage cut-point sizes for the NGI operated at 30 L/min (Tables A1 to A4)or the standard configuration of the ACI operated at 28.3 L/min (Tables B1 to B4). The second column identifies the stage number. The third, fifth, seventh, ninth and eleventh columns of each table contains the mass apportioned from the input APSD having GSD values of 1.2, 1.5, 1.6, 2.0 and 2.2 respectively apportioned in accordance with these size bounds. Thefourth, sixth, eighth, tenth and twelfth columns contain the corresponding output APSD mass apportionments assigned to each stage,and calculated in accordance with the procedure defined in the article.
Table A1: Individual Stage Comparisons for Input APSDs having MMAD of 1.1 μm with varying GSD: NGI at 30 L/min
NGI at30 L/min / Input Aerosol MMAD = 1.1 μm
GSD = 1.1 / GSD = 1.5 / GSD = 1.6 / GSD = 2.0 / GSD = 2.2
CI Stage
Number / Size Range
(μm) / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a
1 / > 11.7 / 0.0000 / 0.0001 / 0.0000 / 0.0002 / 0.0000 / 0.0004 / 0.0003 / 0.0019 / 0.0003 / 0.0019
2 / 6.40 to 11.7 / 0.0000 / 0.0000 / 0.0000 / 0.0002 / 0.0001 / 0.0005 / 0.0052 / 0.0072 / 0.0052 / 0.0072
3 / 3.99 to 6.40 / 0.0000 / 0.0008 / 0.0007 / 0.0051 / 0.0030 / 0.0093 / 0.0260 / 0.0354 / 0.0260 / 0.0354
4 / 2.30 to 3.99 / 0.0000 / 0.0031 / 0.0338 / 0.0436 / 0.0553 / 0.0632 / 0.1122 / 0.1120 / 0.1122 / 0.1120
5 / 1.36 to 2.30 / 0.1245 / 0.1798 / 0.2676 / 0.2743 / 0.2690 / 0.2718 / 0.2371 / 0.2357 / 0.2371 / 0.2357
6 / 0.83 to 1.36 / 0.8113 / 0.7331 / 0.4509 / 0.4438 / 0.3950 / 0.3937 / 0.2746 / 0.2803 / 0.2746 / 0.2803
7 / 0.54 to 0.83 / 0.0641 / 0.0828 / 0.2070 / 0.1921 / 0.2121 / 0.1968 / 0.1916 / 0.1809 / 0.1916 / 0.1809
MOC / < 0.54 / 0.0000 / 0.0002 / 0.0400 / 0.0407 / 0.0655 / 0.0643 / 0.1529 / 0.1467 / 0.1529 / 0.1467
a arbitrary units of mass
Table A2: Individual Stage Comparisons for Input APSDs having MMAD of 2.5 μm with varying GSD: NGI at 30 L/min
NGI at30 L/min / Input Aerosol MMAD = 2.5 μm
GSD = 1.1 / GSD = 1.5 / GSD = 1.6 / GSD = 2.0 / GSD = 2.2
CI Stage
Number / Size Range
(μm) / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a
1 / > 11.7 / 0.0000 / 0.0020 / 0.0001 / 0.0049 / 0.0005 / 0.0072 / 0.0129 / 0.0248 / 0.0250 / 0.0358
2 / 6.40 to 11.7 / 0.0000 / 0.0026 / 0.0102 / 0.0208 / 0.0223 / 0.0332 / 0.0748 / 0.0800 / 0.0917 / 0.0946
3 / 3.99 to 6.40 / 0.0052 / 0.0676 / 0.1144 / 0.1510 / 0.1374 / 0.1651 / 0.1625 / 0.1747 / 0.1601 / 0.1693
4 / 2.30 to 3.99 / 0.6717 / 0.6035 / 0.4571 / 0.4209 / 0.4105 / 0.3804 / 0.2978 / 0.2798 / 0.2655 / 0.2502
5 / 1.36 to 2.30 / 0.3227 / 0.3233 / 0.3523 / 0.3346 / 0.3325 / 0.3171 / 0.2628 / 0.2540 / 0.2385 / 0.2314
6 / 0.83 to 1.36 / 0.0004 / 0.0011 / 0.0626 / 0.0639 / 0.0871 / 0.0869 / 0.1326 / 0.1316 / 0.1374 / 0.1373
7 / 0.54 to 0.83 / 0.0000 / 0.0000 / 0.0033 / 0.0038 / 0.0092 / 0.0095 / 0.0429 / 0.0407 / 0.0557 / 0.0527
MOC / < 0.54 / 0.0000 / 0.0000 / 0.0001 / 0.0001 / 0.0006 / 0.0006 / 0.0136 / 0.0144 / 0.0261 / 0.0288
a arbitrary units of mass
Table A-3 -- Individual Stage Comparisons for Input APSDs having MMAD of 4.0 μm with varying GSD: NGI at 30 L/min
NGI at30 L/min / Input Aerosol MMAD = 2.5 μm
GSD = 1.1 / GSD = 1.5 / GSD = 1.6 / GSD = 2.0 / GSD = 2.2
CI Stage
Number / Size Range
(μm) / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a
1 / > 11.7 / 0.0000 / 0.0115 / 0.0040 / 0.0275 / 0.0111 / 0.0372 / 0.0605 / 0.0784 / 0.0864 / 0.0929
2 / 6.40 to 11.7 / 0.0050 / 0.0482 / 0.1195 / 0.1390 / 0.1479 / 0.1589 / 0.1887 / 0.1871 / 0.1895 / 0.1867
3 / 3.99 to 6.40 / 0.5015 / 0.4880 / 0.3794 / 0.3722 / 0.3435 / 0.3392 / 0.2525 / 0.2530 / 0.2257 / 0.2269
4 / 2.30 to 3.99 / 0.4923 / 0.4493 / 0.4110 / 0.3743 / 0.3781 / 0.3465 / 0.2861 / 0.2665 / 0.2572 / 0.2407
5 / 1.36 to 2.30 / 0.0012 / 0.0030 / 0.0822 / 0.0827 / 0.1086 / 0.1067 / 0.1527 / 0.1476 / 0.1560 / 0.1510
6 / 0.83 to 1.36 / 0.0000 / 0.0000 / 0.0038 / 0.0043 / 0.0103 / 0.0109 / 0.0476 / 0.0474 / 0.0619 / 0.0616
7 / 0.54 to 0.83 / 0.0000 / 0.0000 / 0.0001 / 0.0001 / 0.0004 / 0.0005 / 0.0099 / 0.0096 / 0.0178 / 0.0170
MOC / < 0.54 / 0.0000 / 0.0000 / 0.0000 / 0.0000 / 0.0000 / 0.0002 / 0.0019 / 0.0103 / 0.0056 / 0.0232
a arbitrary units of mass
Table A4: Individual Stage Comparisons for Input APSDs having MMAD of 5.0 μm with varying GSD: NGI at 30 L/min
NGI at30 L/min / Input Aerosol MMAD = 2.5 μm
GSD = 1.1 / GSD = 1.5 / GSD = 1.6 / GSD = 2.0 / GSD = 2.2
CI Stage
Number / Size Range
(μm) / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a
1 / > 11.7 / 0.0000 / 0.0264 / 0.0178 / 0.0592 / 0.0350 / 0.0748 / 0.1096 / 0.1217 / 0.1400 / 0.1330
2 / 6.40 to 11.7 / 0.0885 / 0.1701 / 0.2541 / 0.2566 / 0.2653 / 0.2614 / 0.2517 / 0.2443 / 0.2374 / 0.2310
3 / 3.99 to 6.40 / 0.8041 / 0.6545 / 0.4396 / 0.4089 / 0.3845 / 0.3643 / 0.2666 / 0.2616 / 0.2354 / 0.2328
4 / 2.30 to 3.99 / 0.1074 / 0.1490 / 0.2608 / 0.2457 / 0.2660 / 0.2484 / 0.2409 / 0.2250 / 0.2249 / 0.2106
5 / 1.36 to 2.30 / 0.0000 / 0.0001 / 0.0270 / 0.0286 / 0.0464 / 0.0468 / 0.1012 / 0.0982 / 0.1132 / 0.1097
6 / 0.83 to 1.36 / 0.0000 / 0.0000 / 0.0006 / 0.0008 / 0.0027 / 0.0030 / 0.0251 / 0.0251 / 0.0375 / 0.0374
7 / 0.54 to 0.83 / 0.0000 / 0.0000 / 0.0000 / 0.0000 / 0.0001 / 0.0001 / 0.0042 / 0.0041 / 0.0091 / 0.0088
MOC / < 0.54 / 0.0000 / 0.0000 / 0.0000 / 0.0002 / 0.0000 / 0.0011 / 0.0007 / 0.0199 / 0.0024 / 0.0368
a arbitrary units of mass
Table B1: Individual Stage Comparisons for Input APSDs having MMAD of 1.1 μm with varying GSD:ACI at 28.3 L/min
ACI at28.3 L/min / Input Aerosol MMAD = 1.1 μm
GSD = 1.1 / GSD = 1.5 / GSD = 1.6 / GSD = 2.0 / GSD = 2.2
CI Stage
Number / Size Range
(μm) / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a
0 / > 9.0 / 0.0000 / 0.0000 / 0.0000 / 0.0000 / 0.0000 / 0.0000 / 0.0012 / 0.0014 / 0.0038 / 0.0039
1 / 5.8 - 9.0 / 0.0000 / 0.0001 / 0.0000 / 0.0003 / 0.0002 / 0.0006 / 0.0070 / 0.0078 / 0.0136 / 0.0142
2 / 4.7 - 5.8 / 0.0000 / 0.0006 / 0.0002 / 0.0016 / 0.0008 / 0.0027 / 0.0098 / 0.0129 / 0.0153 / 0.0185
3 / 3.3 - 4.7 / 0.0000 / 0.0025 / 0.0032 / 0.0108 / 0.0087 / 0.0178 / 0.0384 / 0.0483 / 0.0490 / 0.0585
4 / 2.1 - 3.3 / 0.0002 / 0.0152 / 0.0520 / 0.0673 / 0.0747 / 0.0846 / 0.1190 / 0.1173 / 0.1243 / 0.1208
5 / 1.1 - 2.1 / 0.4998 / 0.5477 / 0.4446 / 0.4657 / 0.4156 / 0.4356 / 0.3246 / 0.3434 / 0.2939 / 0.3120
6 / 0.65 - 1.1 / 0.4980 / 0.4216 / 0.4028 / 0.3522 / 0.3685 / 0.3271 / 0.2761 / 0.2541 / 0.2477 / 0.2303
7 / 0.43-0.65 / 0.0020 / 0.0122 / 0.0870 / 0.0852 / 0.1087 / 0.1012 / 0.1362 / 0.1234 / 0.1355 / 0.1236
Filter / <0.43 / 0.0000 / 0.0001 / 0.0103 / 0.0169 / 0.0228 / 0.0303 / 0.0877 / 0.0914 / 0.1168 / 0.1184
a arbitrary units of mass
Table B2: Individual Stage Comparisons for Input APSDs having MMAD of 2.5 μm with varying GSD:ACI at 28.3 L/min
ACI at28.3 L/min / Input Aerosol MMAD = 2.5 μm
GSD = 1.1 / GSD = 1.5 / GSD = 1.6 / GSD = 2.0 / GSD = 2.2
CI Stage
Number / Size Range
(μm) / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a
0 / > 9.0 / 0.0000 / 0.0001 / 0.0008 / 0.0016 / 0.0032 / 0.0042 / 0.0323 / 0.0307 / 0.0521 / 0.0469
1 / 5.8 - 9.0 / 0.0000 / 0.0021 / 0.0182 / 0.0231 / 0.0335 / 0.0368 / 0.0800 / 0.0789 / 0.0908 / 0.0892
2 / 4.7 - 5.8 / 0.0003 / 0.0140 / 0.0408 / 0.0526 / 0.0529 / 0.0623 / 0.0689 / 0.0753 / 0.0688 / 0.0749
3 / 3.3 - 4.7 / 0.0636 / 0.1490 / 0.1870 / 0.2080 / 0.1877 / 0.2053 / 0.1632 / 0.1771 / 0.1507 / 0.1638
4 / 2.1 - 3.3 / 0.7666 / 0.5840 / 0.4196 / 0.3676 / 0.3673 / 0.3276 / 0.2549 / 0.2350 / 0.2251 / 0.2091
5 / 1.1 - 2.1 / 0.1695 / 0.2504 / 0.3122 / 0.3212 / 0.3150 / 0.3207 / 0.2826 / 0.2893 / 0.2636 / 0.2717
6 / 0.65 - 1.1 / 0.0000 / 0.0004 / 0.0210 / 0.0251 / 0.0383 / 0.0401 / 0.0921 / 0.0860 / 0.1051 / 0.0976
7 / 0.43-0.65 / 0.0000 / 0.0000 / 0.0004 / 0.0008 / 0.0020 / 0.0027 / 0.0204 / 0.0197 / 0.0310 / 0.0290
Filter / <0.43 / 0.0000 / 0.0000 / 0.0000 / 0.0000 / 0.0001 / 0.0002 / 0.0056 / 0.0079 / 0.0128 / 0.0178
a arbitrary units of mass
Table B3: Individual Stage Comparisons for Input APSDs having MMAD of 4.0 μm with varying GSD:ACI at 28.3 L/min
ACI at28.3 L/min / Input Aerosol MMAD = 4.0 μm
GSD = 1.1 / GSD = 1.5 / GSD = 1.6 / GSD = 2.0 / GSD = 2.2
CI Stage
Number / Size Range
(μm) / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a
0 / > 9.0 / 0.0000 / 0.0015 / 0.0228 / 0.0258 / 0.0422 / 0.0431 / 0.1210 / 0.1075 / 0.1519 / 0.1275
1 / 5.8 - 9.0 / 0.0208 / 0.0523 / 0.1570 / 0.1522 / 0.1724 / 0.1654 / 0.1749 / 0.1700 / 0.1669 / 0.1633
2 / 4.7 - 5.8 / 0.1674 / 0.1821 / 0.1657 / 0.1679 / 0.1512 / 0.1554 / 0.1121 / 0.1190 / 0.1002 / 0.1072
3 / 3.3 - 4.7 / 0.6661 / 0.5565 / 0.3370 / 0.3371 / 0.2931 / 0.2992 / 0.2013 / 0.2133 / 0.1774 / 0.1895
4 / 2.1 - 3.3 / 0.1455 / 0.2031 / 0.2616 / 0.2446 / 0.2560 / 0.2369 / 0.2144 / 0.1986 / 0.1967 / 0.1829
5 / 1.1 - 2.1 / 0.0002 / 0.0045 / 0.0553 / 0.0711 / 0.0822 / 0.0956 / 0.1450 / 0.1523 / 0.1561 / 0.1627
6 / 0.65 - 1.1 / 0.0000 / 0.0000 / 0.0007 / 0.0013 / 0.0030 / 0.0040 / 0.0269 / 0.0263 / 0.0402 / 0.0382
7 / 0.43-0.65 / 0.0000 / 0.0000 / 0.0000 / 0.0000 / 0.0001 / 0.0001 / 0.0037 / 0.0039 / 0.0083 / 0.0081
Filter / <0.43 / 0.0000 / 0.0000 / 0.0000 / 0.0000 / 0.0000 / 0.0002 / 0.0006 / 0.0093 / 0.0023 / 0.0206
a arbitrary units of mass
Table B4: Individual Stage Comparisons for Input APSDs having MMAD of 5.0 μm with varying GSD:ACI at 28.3 L/min
ACI at28.3 L/min / Input Aerosol MMAD = 5.0 μm
GSD = 1.1 / GSD = 1.5 / GSD = 1.6 / GSD = 2.0 / GSD = 2.2
CI Stage
Number / Size Range
(μm) / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a / Input distrib-
ution of mass a / Mass assigned to each stage a
0 / > 9.0 / 0.0006 / 0.0077 / 0.0736 / 0.0743 / 0.1055 / 0.1015 / 0.1982 / 0.1696 / 0.2280 / 0.1834
1 / 5.8 - 9.0 / 0.2072 / 0.2135 / 0.2836 / 0.2642 / 0.2705 / 0.2553 / 0.2170 / 0.2114 / 0.1974 / 0.1939
2 / 4.7 - 5.8 / 0.4250 / 0.3407 / 0.2035 / 0.2033 / 0.1763 / 0.1800 / 0.1203 / 0.1276 / 0.1059 / 0.1133
3 / 3.3 - 4.7 / 0.3558 / 0.3963 / 0.2866 / 0.2942 / 0.2593 / 0.2683 / 0.1900 / 0.2014 / 0.1696 / 0.1810
4 / 2.1 - 3.3 / 0.0113 / 0.0416 / 0.1365 / 0.1392 / 0.1559 / 0.1520 / 0.1691 / 0.1584 / 0.1635 / 0.1530
5 / 1.1 - 2.1 / 0.0000 / 0.0002 / 0.0161 / 0.0244 / 0.0318 / 0.0408 / 0.0909 / 0.0975 / 0.1082 / 0.1141
6 / 0.65 - 1.1 / 0.0000 / 0.0000 / 0.0001 / 0.0002 / 0.0006 / 0.0010 / 0.0128 / 0.0129 / 0.0226 / 0.0218
7 / 0.43-0.65 / 0.0000 / 0.0000 / 0.0000 / 0.0000 / 0.0000 / 0.0000 / 0.0014 / 0.0015 / 0.0039 / 0.0039
Filter / <0.43 / 0.0000 / 0.0000 / 0.0000 / 0.0002 / 0.0000 / 0.0011 / 0.0002 / 0.0195 / 0.0009 / 0.0356
a arbitrary units of mass