Table I
Aerosol Models: Lognormal Size Distributions
Log–normal size distributions
. The mode radius rm, listed in columns 2 to 5, have been chosen in order to have the same effective radius reff (column 1) for all four variances |
---|
|
---|
rm(μ m) |
---|
|
---|
reff(μm) | veff =0.1, σ=1.362 | veff =.25, σ=1.604 | veff =.528, σ=1.918 | veff =1, σ=2.299 |
---|
0.025 | 0.0197 | 0.0143 | 0.0088 | 0.0044 |
0.05 | 0.0394 | 0.0286 | 0.0173 | 0.0088 |
0.1 | 0.0788 | 0.0572 | 0.0346 | 0.0177 |
0.15 | 0.1182 | 0.0859 | 0.0520 | 0.0265 |
0.222 | 0.1751 | 0.1272 | 0.0770 | 0.0393 |
0.281 | 0.2214 | 0.1609 | 0.0974 | 0.0497 |
0.35 | 0.2758 | 0.2004 | 0.1213 | 0.0619 |
0.45 | 0.3546 | 0.2576 | 0.1559 | 0.0795 |
0.55 | 0.4334 | 0.3148 | 0.1906 | 0.0972 |
0.7 | 0.5516 | 0.4007 | 0.2425 | 0.1237 |
1 | 0.7880 | 0.5724 | 0.3465 | 0.1768 |
Table II
Aerosol Models: Modified Gamma Size Distributions; n(r) = Cra exp(−brγ)
Model | reff(μm) | Veff | a | b(μm−γ) | γ |
---|
|
---|
MGD1 | 0.05 | 0.250 | 1 | 80 | 1 |
MGD2 | 0.1 | 0.250 | 1 | 40 | 1 |
MGD3 | 0.222 | 0.250 | 1 | 18 | 1 |
MGD4 | 0.281 | 0.528 | 1 | 16 | 0.5 |
MGD5 | 1.0 | 0.1 | 7 | 10 | 1 |
Table III
Aerosol Models: Bimodal Size Distributions
Model | σ1 | rm1(μm) | σ2 | rm2(μm) | C1 | C2 |
---|
|
---|
B1 | 1.604 | .0286 | 1.604 | .5724 | variable |
B2 | 1.604 | .0286 | 1.604 | .1272 | variable |
B3 | 1.604 | .1272 | 1.604 | .5724 | variable |
HRH | 1.76 | 0.073 | 1.10 | 1.0 | 0.815 | 0.185 |
HRC | 1.604 | 0.02 | 1.604 | 0.7 | 0.9 | 0.1 |
Table IV
Aerosol Parameters Retrieved from α for LND Size Distributions with Two Variances Veff = 0.250 and 0.528
| α = 0.5 | α = 1.7 | α = 3.0 |
---|
|
---|
| veff = 0.250. | veff = 0.528 | veff = 0.250 | veff = 0.528 | veff = 0.250 | veff = 0.528 |
---|
|
---|
103 M/σe(1.0) (kg m−3/m−1) | 0.52 | 0.60 | 0.85 | 1.00 | 5.0 | 8.5 |
|
| 1.1 | 1.1 | 1.85 | 1.85 | 3.85 | 3.85 |
g⊙ | 0.735 | 0.73 | 0.69 | 0.67 | 0.485 | 0.45 |
σe(10.)/σe(1.0) | 0.09 | 0.12 | 0.13 | 0.15 | 0.8 | 1.2 |
4πB(0.7)/σe(1.0) | 3.8 | 4.1 | 4.9 | 5.7 | 20.1 | 22.6 |
Table V
Comparison of LND and MGD Models with Same veff and reff
| MGD 1 | MGD 2 | MGD 3 | MGD 4 | MGD 5 |
---|
|
|
|
|
|
|
---|
λ(μm) | σe | g | p(180°) | σe | g | p(180°) | σe | g | p(180°) | σe | g | p(180°) | σe | g | p(180°) |
---|
|
---|
.385 | −3.4 | 4.0 | −1.0 | −1.0 | −1.5 | 5.1 | 3.7, | 0.1 | −3.0 | 3.1 | 0.5 | −5.3 | 1.6 | 0.2 | −0.2 |
.45 | −1.9 | 8.2 | −5.3 | −0.8 | −1.3 | 6.2 | 1.7 | −0.5 | −1.3 | 1.8 | 0.2 | −4.1. | 1.1 | −0.8 | 0.6 |
.525 | −0.5 | 13.1 | −8.6 | −0.3 | −0.7 | 6.1 | 0.4 | −0.9 | −0.1 | 0.5 | −0.1 | −3.0 | 0.2 | −0.7 | 1.3 |
.55 | 0 | 14.7 | −9.3 | 0 | −0.4 | 5.8 | 0 | −1.0 | 0.3 | 0 | −0.2 | −2.5 | 0 | −0.9 | 1.3 0.5 |
.7 | 2.7 | 22.4 | −11 | 1.6 | 2.4 | 1.3 | −1.2 | −1.4 | 2.6 | −2.4 | −0.7 | −3.4 | 1.2 | −0.7 | 0.5 | |
.85 | 5.1 | 27.5 | −10 | 3.2 | 6.7 | −3.9 | −1.4 | −1.4 | 4.8 | −4.1 | −1.1 | 1.6 | 2.9 | 0.4 | −1.0 |
1 | 7.0 | 31 | −8.6 | 4.5 | 12 | −7.7 | −1.1 | −1.2 | 6.1 | −5.3 | −1.5 | 3.3 | 3.5 | 0.6 | −1.4 |
1.6 | 9.1 | 36 | −4.3 | 9.3 | 26 | −10 | 1.6 | 3.3 | 0.2 | −6.2 | −1.3 | 5.2 | 1.4 | −0.1 | −0.3 |
2.2 | 1.3 | 37 | −2.4 | 10.2 | 31 | −7.3 | 4.0 | 12.0 | −7.8 | −4.5 | 0.6 | 2.3 | 0.8 | −0.3 | −0.2 |
3.6 | −2.8 | 37 | −0.9 | 3.0 | 35 | −3.2 | 2.6 | 24 | −8.8 | −2.1 | 5.9 | 4.2 | 1.2 | −0.7 | −1.5 |
10 | −2.8 | 38 | −0.1 | 2.9 | 36 | −0.5 | 2.7 | 39 | −3.1 | −0.4 | 26 | −10 | 1.1 | 4.0 | −2.2 |
The table gives LND values-MGD values/LND values in percent for the different MGD models.
σe is normalized at 1 for λ =. 0.55
μm.
Table VI
Influence of the Refractive Index
| reff=0.025 μm | reff = 0.1 μm | reff = 0.222 μm | reff = 0.35 μm | reff = 0.55 μm | reff = 1 μm |
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|
|
|
|
|
|
|
---|
λ(μm) | σe | g | p(180°) | σe | g | p(180°) | σe | g | p(180°) | σe | g | p(180°) | σe | g | p(180°) | σe | g | p(180°) |
---|
|
---|
.385 | −0.4 | −1.6 | 0.7 | 1.3 | 1.1 | −3.0 | 3.2 | 2.2 | −24 | 3.1 | 2.8 | −38 | 1.0 | 2.4 | −37 | −0.8 | 1.0 | −13 |
.45 | −0.1 | −1.6 | 0.5 | 0.7 | 0.8 | −1.2 | 1.7 | 1.9 | −17 | 1.8 | 2.5 | −31 | 0.8 | 2.6 | −36 | -0.5 | 1.2 | −13 |
.525 | −0.1 | −1.6 | 0.4 | 0.1 | 0.5 | −0.1 | 0.4 | 1.7 | −12 | 0.4 | 2.3 | −26 | 0.3 | 2.7 | −36 | −0.1 | 1.6 | −19 |
.55 | 0 | −1.7 | 0.3 | 0 | 0.4 | 0.1 | 0 | 1.7 | −11 | 0 | 2.2 | −25 | 0 | 2.7 | −36 | 0 | 1.7 | −19 |
.7 | 0.2 | −1.6 | 0.2 | 0.4 | 0.2 | 0.9 | -1.8 | 1.3 | −5.7 | −2.3 | 1.9 | −17 | −1.8 | 2.5 | −31 | 0.3 | 2.4 | −30 |
.85 | 0.3 | −1.5 | 0.1 | 0.6 | −0.6 | 1.0 | -2.9 | 1.0 | −2.8 | −4.0 | 1.7 | −11 | −3.6 | 2.3 | −25 | 0 | 2.7 | −34 |
1 | 0.3 | −1.4 | 0.1 | 0.7 | −1.0 | 1.0 | -3.7 | 0.7 | −1.2 | −5.4 | 1.4 | −7.4 | −5.3 | 2.0 | −19 | −0.8 | 2.7 | −34 |
1.6 | 5.4 | −1.2 | 0 | 0 | −1.9 | 0.6 | -4.4 | 0.3 | 0.8 | −7.8 | 0.6 | −1.0 | −9.4 | 1.2 | −0.6 | −5.2 | 1.9 | −19 |
2.2 | 8.8 | −1.1 | 0 | 2.3 | −2.8 | 0.5 | -3.9 | 0.8 | 0.8 | −8.3 | 0 | 0.4 | −11 | 0.7 | −1.9 | −8.5 | 1.3 | −9.1 |
3.6 | 6.0 | −1.1 | 0 | 6.0 | −4.5 | 0.4 | 1.3 | -1.1 | 0.4 | −3.6 | −0.6 | 0.6 | −8.1 | 0 | 0.6 | −8.1 | 0.6 | 0.2 |
10 | 16 | −2.8 | 0 | 6.0 | −8.2 | 0.1 | 1.9 | -3.1 | 0.2 | −2.6 | −2.5 | 0.5 | −7.6 | −1.1 | 0.6 | −9.3 | 1.1 | −0.6 |
The table gives the variation in percent for
σe,g,p(180°) when changing the refractive index of 75% H
2SO
4 from its value at 300 K to its value at 220 K for six LND models with
υeff = 0.250.
σe is normalized at 1 for λ = 0.55
μm. Similar results arise from changing the concentration from 60% to 80%.