Integrating Structure Control over Multiple Length Scales in Porous ...
Integrating Structure Control over Multiple Length Scales in Porous ...
Integrating Structure Control over Multiple Length Scales in Porous ...
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octahedral site 69. There are two tetrahedral sites and one octahedral site for each largesphere. Therefore:φcc=⎛ 4 344⎜πrlarg e+ ( 2 ⋅ 20 + 69)πr⎝ 33Vfcc3small⎞⎟⎠= 0.84where φ cc is the porosity from the colloidal crystal, V fcc is the volume of one cubic fcc unit celland r large (1350 nm) and r small (145 nm) the radius of the large and small spheres, respectively.The mesopores <strong>in</strong> the wall give rise to porosity of the framework. From the lattice parameterdeterm<strong>in</strong>ed by SAXS (19.9 nm) together with the BJH average pore size (11 nm) anadditional porosity of:φ m = 0.21arises, where φ m is the porosity from the mesoporous framework.The <strong>over</strong>all porosity of the material <strong>in</strong>clud<strong>in</strong>g the micromold channels is therefore:φtotal= φchch ccch cc ch m+ ( 1−φ) φ + (1 − ((1 − φ ) φ + φ )) φ = 0.94and the <strong>over</strong>all porosity of the material exclud<strong>in</strong>g the micromold channels is:φtotal= φcccc m+ ( 1−φ ) φ = 0.87[38] S. Creutz, P. Teyssie, R. Jerome, Macromolecules 1997, 30, 6.[39] M. Kamperman, M. Fierke, C. B. W. Garcia, U. Wiesner, Macromolecules 2008, 41,8745.[40] D. C. Duffy, J. C. McDonald, O. J. A. Schueller, G. M. Whitesides, Analytical Chem.1998, 70, 4974.[41] H. C. Clark, L. E. Manzer, J. Organometal. Chem. 1973, 59, 411.[42] M. W. Tate, E. F. Eikenberry, S. L. Barna, M. E. Wall, J. L. Lowrance, S. M. Gruner,J. Appl. Cryst. 1995, 28, 196.
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