Distances between Atoms in a Gas Molecule

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Homework Help Overview

The discussion revolves around calculating distances between atoms in gas molecules, with a focus on determining the moment of inertia and degrees of freedom for gases at specific temperatures. Participants explore the implications of gas behavior, such as expansion and compression, on atomic distances.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of the ideal gas law to derive volume per atom and question the variability of atomic distances due to gas dynamics. There is also a clarification regarding the distinction between distances between atoms in a single molecule versus distances between molecules.

Discussion Status

The conversation is ongoing, with some participants suggesting resources like CRC tables and Wikipedia for further information on atomic distances. There is recognition of the complexity involved in measuring these distances accurately, particularly in different states of matter.

Contextual Notes

Participants note that the distances between atoms can vary based on the type of gas and the methods used for measurement, such as rotational spectroscopy or electron diffraction. There is an acknowledgment of the limitations of certain measurement techniques for specific atoms, like hydrogen.

dingsbunnyranch
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How do you calculate the distances between atoms of a given gas molecule? The reason I am asking this is so I can find the moment of inertia of certain molecules so i can determine degrees of freedom for a gas at a certain temperature. Is there an easier way to determine them?
 
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dingsbunnyranch said:
How do you calculate the distances between atoms of a given gas molecule? The reason I am asking this is so I can find the moment of inertia of certain molecules so i can determine degrees of freedom for a gas at a certain temperature. Is there an easier way to determine them?

can't gas expand and compress? Wouldn't this imply that there is no absolute distance between atoms in a gas, and that its relative to the pressure and volume?

Just using logic, with no advanced physics training (i'm just starting my third year as a physics undergrad), I'd guess that you could use the ideal gas law:

PV = nRT where P is Pressure, V is volume, n is number of moles, R is the gas constant, and T is the temperature.

you could find out the volume per atom (V/n = RT/P) and derive it from there, i suppose. But I think gases rely on fluid dynamics, which are really complex, and the distance between atoms will be different for different localities within a given 'cloud' of gas.
 
Pythagorean, I think you misunderstood the question. The question was not about the distance between molecules (atoms) in a gas but about the distance between atoms in a single molecule.

I don't see any simple way to answer that- it depends on the type of gas. You might be able to look up distance between atoms for a particular molecule in something like the CRC tables.
 
HallsofIvy said:
Pythagorean, I think you misunderstood the question. The question was not about the distance between molecules (atoms) in a gas but about the distance between atoms in a single molecule.

I don't see any simple way to answer that- it depends on the type of gas. You might be able to look up distance between atoms for a particular molecule in something like the CRC tables.

ah, yes, I see. I think this is a common study in chemistry.

from wikipedia:

This weak attraction takes place already at long distances of 100 nanometer, whereas the stronger repulsion only becomes preponderant at distances of 100 picometer, a distance which is similar to atomic radii. The atoms are held together at the distance at which the attractive and repulsive forces cancel out.


The length of a chemical bond is taken to be the average distance between the two nuclei. For gases it can be determined to a high degree of accuracy by rotational spectroscopy or by electron diffraction. For solids, it is usually measured by X-ray diffraction: however this method cannot measure the length of bonds involving hydrogen, for which neutron diffraction must be used. Average bond lengths (often with standard deviations) for a large number of bond situations in inorganic and organic compounds have been calculated from data in the Cambridge Crystallographic Database. Other factors being equal, a shorter bond is also a stronger bond.

http://en.wikipedia.org/wiki/Chemical_bond/Temp
 
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