What Does X1-xMx Notation Indicate in Material Science?

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The discussion revolves around the interpretation of a chemical notation involving two elements, X and M, represented as X1-xMx and 1-xMx. The notation is compared to the well-known alkane formula C_nH_{2n+2}, which describes a class of compounds with specific ratios of carbon and hydrogen. Participants explore the implications of the notation, particularly concerning stoichiometric ratios and potential negative indices. One contributor suggests that the notation might represent molar fractions, indicating a mixture of X and M in specific proportions. The example of an alloy of gold and caesium is provided to illustrate how varying ratios can affect properties like electrical resistance, with the equimolar condition leading to a distinct compound, caesium auride. The conversation highlights the complexities of describing mixtures and compounds, especially in the context of superconductors and ceramics, where precise notation is crucial for understanding composition.
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I see this often and am not sure what it means. Suppose X and M are any two elements:

X1-xMx

Thanks.
 
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dipole;3985425e5DI see this often and am not sure what it means. Suppose X and M are any two elements: X[SUB said:
1-x[/SUB]Mx

Thanks.

Do you mean like C_nH_{2n+2}? That is a notation for a class of compounds that contain two elements (carbon and hydrogen) in a particular ratio - in this case, the class is the alkanes. n can take on any integer value starting from 1. There will be n carbon atoms and (2n+2) H atoms. So you can have CH_4, C_2H_6, C_3H_8,... for methane, ethane and propane, respectively.

I'm guessing your notation is similar, and the subscripts denote the proportion in which X and M make up the molecular formula of each of the compounds in the class you're considering.
 
Curious3141 said:
Do you mean like C_nH_{2n+2}? That is a notation for a class of compounds that contain two elements (carbon and hydrogen) in a particular ratio - in this case, the class is the alkanes. n can take on any integer value starting from 1. There will be n carbon atoms and (2n+2) H atoms. So you can have CH_4, C_2H_6, C_3H_8,... for methane, ethane and propane, respectively.

I'm guessing your notation is similar, and the subscripts denote the proportion in which X and M make up the molecular formula of each of the compounds in the class you're considering.

Yes that makes sense, but the notation I posted doesn't because it would produce negative indices. For example, Bi2Sb3 is one compound which has that formula, but the indices should then be BixSbx+1, so I'm wondering it it doesn't have to do with the stochiometric ratio and perhaps something to do with electron configuration or something.
 
Do you know what molar fraction is? Molar fractions sum to 1, my guess is that notation you show means a mixture that contains x moles of M and (1-x) moles of X in each mole of the mixture. Whether it is still a mixture, or a compound, or some combination of both is another question.

Take an alloy of gold and caesium. When they are in exactly equimolar ratio they create caesium auride, when the mixture is not equimolar, it contains some auride and some pure metal (it is obvious when your observe specific resistance of the mixture - when it is equimolar, resistance goes up by orders of magnitude, as auride replaces pure metals). Using your notation pure caesium auride would be Cs0.5Au0.5.
 
I believe Borek has it as these are the ways that superconductors and ceramics are often often described in "notation". Ceramics will be describing oxides with the noted molar composition of the XM, and superconductors will often use this , but have to describe the anionic components separately.

X is a metalloid, and M is a metal.
 
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