Comparing Fractal Dims by Hg & Profilometry

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In summary, the difference between fractal dimension determined by surface profilometry and Hg porosimetry is that they measure different aspects of a surface. Surface profilometry gives a wet blanket approximation of the surface, while Hg porosimetry gives information about internal surfaces but no relational geometry. This is why they do not correlate linearly and instead have an inverse relationship.
  • #1
Salish99
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What is the difference between fractal dimension determined by surface profilometry and Hg porosimetry?
For example, for a given dataset, say samples 1-5, 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
 
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  • #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


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.
 

1. What are fractal dimensions?

Fractal dimensions are mathematical measurements that describe the complexity and self-similarity of a geometric pattern or structure.

2. How is Hg used to measure fractal dimensions?

Hg (mercury) is used in a technique called Mercury Intrusion Porosimetry to measure the fractal dimensions of porous materials. The mercury is forced into the pores of the material under varying pressures, and the amount of mercury intruded is used to calculate the fractal dimensions.

3. What is profilometry?

Profilometry is a technique used to measure the surface topography of a material. It involves scanning a stylus over the surface and measuring the vertical displacement to create a 3D map of the surface.

4. How do Hg and profilometry compare in measuring fractal dimensions?

Both Hg and profilometry can be used to measure fractal dimensions, but they use different techniques. Hg measures the fractal dimensions of porous materials, while profilometry measures the surface topography of any material. Therefore, the results may not be directly comparable.

5. What are some potential applications of comparing fractal dimensions using Hg and profilometry?

Studying the fractal dimensions of materials can provide insight into their properties and behaviors, which can have applications in various fields such as material science, engineering, and geology. Comparing fractal dimensions using Hg and profilometry can help to better understand the relationship between pore structure and surface topography, potentially leading to improved material designs and applications.

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