Extinction of light by highly nonspherical strongly absorbing colloidal particles: spectrophotometric determination of volume distributions for carbon blacks
Jay Janzen, "Extinction of light by highly nonspherical strongly absorbing colloidal particles: spectrophotometric determination of volume distributions for carbon blacks," Appl. Opt. 19, 2977-2985 (1980)
Despite serious nonsphericity of the particulate entities involved, observed extinction spectra for dilute carbon black sols are fitted precisely by Mie theory for ensembles of spheres which it is shown must be quite nearly volume-equivalent to the actual colloidal carbon units. Hence volume distribution statistics are obtainable for carbon blacks by inversion of spectrophotometric data on suspensions.
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
Supplier code: A, Ashland Chemical Co.; B, Cabot Corp.; C, Cities Service Co.; N, Continental Carbon Co.; P, Phillips Petroleum Co.
Industry Reference Black.
Noncommercial sample.
Specific surface area = 141 m2/g by ASTM D 3765-79.
Specific surface area = 83 m2/g by ASTM D 3765-79.
Specific surface area = 53 m2/g by ASTM D 3765-79.
Specific surface area = 23 m2/g by ASTM D 3765-79.
Meanings of symbols used in definitions: V, volume; S surface area; ā, orientation—averaged projected area; and
, orientation—averaged silhouette perimeter.
Table V
Relative Intrinsic Dimension-Equivalent Sphere Diameters for Flocsa
RIQ
Ds/DV
DV/ā/DV
DV/DV
Dā/DV
DS/DV
1
1.0
1.0
1.0
1.0
1.0
1.0
1.0
2
0.64
0.78
0.80
1.0
1.14
1.25
1.61
5
0.40
0.55
0.60
1.0
1.34
1.58
3.02
10
0.29
0.43
0.48
1.0
1.53
1.85
4.84
15
0.24
0.37
0.43
1.0
1.65
2.02
6.36
20
0.22
0.33
0.39
1.0
1.73
2.15
7.72
25
0.20
0.31
0.36
1.0
1.81
2.26
8.96
Computed from models of Ref. 45 via definitions in Table IV.
Supplier code: A, Ashland Chemical Co.; B, Cabot Corp.; C, Cities Service Co.; N, Continental Carbon Co.; P, Phillips Petroleum Co.
Industry Reference Black.
Noncommercial sample.
Specific surface area = 141 m2/g by ASTM D 3765-79.
Specific surface area = 83 m2/g by ASTM D 3765-79.
Specific surface area = 53 m2/g by ASTM D 3765-79.
Specific surface area = 23 m2/g by ASTM D 3765-79.
Meanings of symbols used in definitions: V, volume; S surface area; ā, orientation—averaged projected area; and
, orientation—averaged silhouette perimeter.
Table V
Relative Intrinsic Dimension-Equivalent Sphere Diameters for Flocsa
RIQ
Ds/DV
DV/ā/DV
DV/DV
Dā/DV
DS/DV
1
1.0
1.0
1.0
1.0
1.0
1.0
1.0
2
0.64
0.78
0.80
1.0
1.14
1.25
1.61
5
0.40
0.55
0.60
1.0
1.34
1.58
3.02
10
0.29
0.43
0.48
1.0
1.53
1.85
4.84
15
0.24
0.37
0.43
1.0
1.65
2.02
6.36
20
0.22
0.33
0.39
1.0
1.73
2.15
7.72
25
0.20
0.31
0.36
1.0
1.81
2.26
8.96
Computed from models of Ref. 45 via definitions in Table IV.