Monday, 20 June 2016

physical chemistry - What does x mean in (1-x)A – xB composite materials, molar ratio, weight ratio or volume fraction?


I've been collecting data about ceramic materials and often I get to see composite materials are described as $(1-x)\ce{A} - x\ce{B}$. I am confused what this $x$ means. And I haven't seen any of the papers mention what $x$ is unless %wt is given specifically.


For an example in $(1-x)\ce{MgO} - x\ce{LiF}$ ceramic material, does $x$ mean molar ratio or weight ratio? For me it doesn't make sense to think of $x$ as a volume fraction as most of the times powders of these materials are taken for sintering.




  1. If nothing is mentioned, is it all right to assume $x$ as the molar ratio?





  2. Can we assume volume fraction is equal to molar ratio even in solids or liquids?





Answer



Here, $x$ is a variable $(x\in[0;1])$ denoting mole fraction of a given constituent in a phase of variable composition (non-stoichiometric compound). This is an algebraic way of denoting a given compound from the phase diagram for a solid solution: $x$ corresponds to its abscissa axis.


And no, volume fraction is not equal to mole fraction and is overall a very inconvenient variable to use, so it's usually being avoided. For example, volume fraction would deviate for the different morphologies and allotropes of the same solid, which is not useful for the description of chemical composition, not to mention it's also temperature-dependent.


No comments:

Post a Comment

readings - Appending 内 to a company name is read ない or うち?

For example, if I say マイクロソフト内のパートナーシップは強いです, is the 内 here read as うち or ない? Answer 「内」 in the form: 「Proper Noun + 内」 is always read 「ない...