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Use of MieLab software in scattering calculations

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Abstract

MieLab software was used to perform calculations of the scattering of electromagnetic radiation by single or multilayered spheres. The scattering efficiency results allowed the calculation of scattering coefficients SMie, which were then used to compare the scattering performance of different materials and composites. Furthermore, the simulation results were compared to experimental results obtained from testing real paint films using the Kubelka–Munk treatment for TiO2-only systems (SCoat). It was found that SMie follows the same profile as SCoat in response to the change in pigment volume concentration. The MieLab simulations were also applied to two composite configurations, hollow sphere nanoparticles or mesoporous silica nanoparticles attached to a TiO2 pigmentary size particle. The results showed that neither of these configurations is a viable solution for increasing scattering efficiency of TiO2 in the range of typical PVCs.

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Authors and Affiliations

  1. The Chemours Company, Newark, USA

    Daniel C. Kraiter, Michael P. Diebold & Jelena Lasio

Authors
  1. Daniel C. Kraiter
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  2. Michael P. Diebold
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  3. Jelena Lasio
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Correspondence to Daniel C. Kraiter.

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Appendix

Appendix

Ingredient

Active Ingredient

Wt (lbs)

Vol (gal)

Part 1

Mix at low speed for 5 minutes (~ 500 RPM):

Water

  

50

6.02

pH Control Agent

  

1

0.13

In-can Preservative

  

1.5

0.12

Dispersant

 

25%

9

1.00

Cosolvent 1

  

30

3.48

Cosolvent 2

  

20

2.16

Coalescent

  

17

2.15

Nonionic Surfactant

  

1

0.12

Anti-foaming Agent

  

1

0.13

Add and run at high speed 15 minutes (2500 RPM):

TiO2

 

100%

255

7.65

Subtotal Grind

  

385.5

22.96

Water add

  

117

14.08

Subtotal Mill base

  

502.5

37.04

Part 2

High Speed Mix for 10 minutes (2000 RPM):

Silicone Defoamer

  

1.0

0.13

Cellulosic Thickener

  

4.3

0.37

Water

  

125.0

15.04

Subtotal Thickener solution

  

130.3

15.5

Part 3

Water Wash

  

0

0.00

Anionic Surfactant

 

30%

3

0.43

Water

  

0

0.00

Binder Emulsion

 

49.10%

355

40.07

Foam Control Agent

  

4

0.55

Subtotal Resin Reduction

  

362

41.05

Part 4

Adjustment Water

  

53

6.38

 

Total

 

1047.8

100.0

 

PVC

  

28.78

 

TiO2 lbs./gallon

  

2.55

 

Paint Density lbs./gallon

  

10.48

 

Wt solids

  

41.59

 

Vol Solids

  

26.81

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Kraiter, D.C., Diebold, M.P. & Lasio, J. Use of MieLab software in scattering calculations. J Coat Technol Res 19, 1817–1836 (2022). https://doi.org/10.1007/s11998-022-00654-6

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  • DOI: https://doi.org/10.1007/s11998-022-00654-6

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