Difference between fractal dimension determined by surface profilometry and Hg poros.by Salish99 Tags: fractal dimension, mercury porosimetry, surface profilometry 

#1
Jan2610, 03:58 PM

P: 29

What is the difference between fractal dimension determined by surface profilometry and Hg porosimetry?
For example, for a given dataset, say samples 15, the backbone fractal dimension determined by Hg porosimetry increases from 2.5 to 3 (the percolation fractality is 3 for all samples). For Surface profilometry determined on a 2D surface (not a line!) with z as the third dimension, the data is exactly inversed, it decreases from 3 to 2.5 (see example data below) Why? What is the difference between the two methods? thanks. Data# Hg Profilom. 1 2.5 3 2 2.6 2.9 3 2.7 2.8 4 2.8 2.7 5 2.9 2.5 



#2
Jan2910, 02:05 PM

P: 2

Perhaps I am missing something...but those experiments don't measure the same thing. Profilometry will give you a wet blanket approximation of the surface. It has no information about the internal structure or surface area under the measured hyperplane. Porosimetry basically gives the opposite result in high surface area materials...it gives most of the internal surfaces but no relational geometry....the total geometry is realized by putting Both of the datasets together.




#3
Jan2910, 02:15 PM

P: 29

Thanks for your reply.
Thant might be it. I also thought that one output is the outer blanket, and the other the internal structure, but outer or inner surface would have the same characteristics, no? Anyways, your explanation might explain why they don't correlate linearly, but with inversely. Thx. 


Register to reply 
Related Discussions  
Dimension and basis for subspace determined by given vectors  Calculus & Beyond Homework  2  
Difference between dimension and rank  Linear & Abstract Algebra  4  
Fractal dimension of CMBR? Cluster distribution?  Special & General Relativity  2  
Dimension of fractal object  General Math  2  
How is reflectivity of a surface determined?  Atomic, Solid State, Comp. Physics  9 