Ceramic Properties vs. Solid Properties

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When modeling thin film materials like Ti-Al-N for thermal analysis, determining the correct number density of nitrogen is crucial. The density of nitrogen in its solid state should be used instead of its gaseous density, as structural differences affect the calculations. To estimate density, one can calculate it from the ionic radii if the structure is known, or use mass spectrometry for real samples. Finding a repeating unit of the structure allows for accurate weight-to-volume calculations, which can also be adapted for planar surfaces. Accurate density estimation is essential for effective modeling of ceramic materials.
shakystew
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Hello,

Quick run-down: I am attempting to model thin film materials (e.g. Ti-Al-N) for thermal analysis. I am
confused on how to figure out the number density of Nitrogen for a ceramic. All
the tables I have in school textbooks are for gas (~0.0013 g/cm3). I can find
density of nitrogen/oxygen in a solid state, but is this the correct density?

Question: Is the density of the solid state the correct density to use for modelling ceramics? I realize
the structural differences, but not certain if the density can be estimated to be
the same.

Any assistance will be much appreciated!
 
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If you know the structure, maybe you can calculate the density from the ionic radii.
Calculate also for another similar material with a known density to check the method.
See the table here; http://en.wikipedia.org/wiki/Ionic_radius
 
It's pretty easy if you know the structure. If you don't then some sort of mass spec is your only hope on a real sample.

You basically need to find a repeating unit of structure then calculate the weight / volume of that repeating unit. On planar surfaces sometimes planar density is calculated as weight / area instead like graphene as it's thickness is pretty much non-existent.

If you have the chemical formula (which may not be consistent for a thin film if it is doped) you assume you have a repeating unit of the chemical formula calculate the percent mass of Nitrogen and multiply that by total mass/total volume. Similar to above, but easier.

Otherwise you do a mass spec of the results figure % mass nitrogen and divide by volume.
 
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