Open Access

Table 1

Construction of dust size bins for the chemistry.

Bin1 Bin 2 Bin3 Bin4 total

κ = 0 and ζ = 2
āj [μm] 0.0636 0.122 0.316 1.72
nd,j [cm−3] 1.36(−4) 3.70(−5) 5.48(−6) 1.85(−7) 1.78(−4)
Length [cm−2] 8.63(−10) 4.50(−10) 1.73(−10) 3.18(−11) 1.52(−9)
Area [cm−1] 6.89(−14) 6.89(−14) 6.89(−14) 6.89(−14) 2.76(−13)
Dust volume 1.46(−19) 2.80(−19) 7.27(−19) 3.96(−18) 5.11(−18)

κ = 1 and ζ = 2
āj [μm] 0.0645 0.125 0.337 2.29
nd,j [cm−3] 1.32(−4) 3.51(−5) 4.83(−6) 1.04(−7) 1.72(−4)
Length [cm−2] 8.51(−10) 4.39(−10) 1.63(−14) 6.89(−14) 1.48(−9)
Area [cm−1] 6.89(−14) 6.89(−14) 6.89(−14) 2.39(−11) 2.76(−13)
Dust volume 1.48(−19) 2.87(−19) 7.75(−19) 5.27(−18) 6.48(−18)

к = 0 and ζ = 3
āj [μm] 0.335 329 1070 2180
nd,j [cm−3] 1.78(−4) 1.88(−13) 5.45(−15) 6.43(−16) 1.78(−4)
Length [cm−2] 5.97(−9) 6.19(−15) 5.84(−16) 1.40(−16) 5.97(−9)
Area [cm−1] 2.51(−12) 2.56(−15) 7.86(−16) 3.85(−16) 2.52(−12)
Dust volume 2.81(−17) 2.81(−17) 2.81(−17) 2.81(−17) 1.12(−16)

Notes. Results for an unsettled dust size distribution with amin = 0.05 μm, amax = 3 mm, apow = 3.5, grain material density ρgr = 2.094 g cm−3, gas-to dust ratio 100, and gas density n〈H〉 = 1010 cm−3, using Nbin = 4. The consecutive lengths are calculated as āj nd,j, the surface areas as , and the volumes as . The correct total values are marked in bold: nd = 1.78 × 10−4 cm−3, length = 1.48 × 10−9 cm−2, area = 2.76 × 10−13 cm−1, and volume = 1.12 × 10−16.

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