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Degrees of Freedom

 
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Oct17-10, 03:55 PM   #1
 

Degrees of Freedom


The number of degrees of freedom of a diatomic gas is 5 if vibrational energy is not considered
However, if we consider their vibration, total number of degrees of freedom is 7.

What independent quantities do we need to specify for vibrational motion of the pair of atoms? If it is the kinetic energy of vibration about their common centre of mass, then the total no. of degrees of freedom should be 6. What is the other independent quantity?
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Oct18-10, 05:25 AM   #2
 
It only has 1 due to vibration, I can't think of any other.
Oct18-10, 07:18 AM   #3
 
I got its answer.
The second one is due to potential energy of vibration (first 1 due to kinetic energy).
But ideal gases don't have any potential energy, then how come there are 2 degrees of freedom?
Oct18-10, 06:55 PM   #4
 

Degrees of Freedom


A system of particles can have max (?) 3N degrees of freedom where N is the number of particles. In your case 2 connected particles can have 6 degrees of freedom.

Three spatial degrees, where it is in x, y, z space.

1 vibrational DOF like a spring connecting them

2 rotational degrees of freedom.
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