Determine the degree of freedom of gaseous particles

Atomic / molecular levels of freedom of a particle:

A gas particle can move freely on either side of the three-dimensional coordinate system. So the level of freedom of a gas particle will be three. Thus, if there are 100 particles in a closed container the total freedom of the particles will be 300.

Dimensions of freedom of two-atom / two particles:

Generally speaking, particles will have two levels of freedom. But since there is a bond between each other, in reality the level of freedom will not be 6. Like every saddle, the bond must feel like a lock way or a closed path. That is, if there is a bond, it will be less than the total freedom level. Therefore, in the case of two-atom gas, the degree of freedom will be = (6-1) =5.

Three-atom / three-particle freedom levels:

Three-atom / three-particle freedom levels: Like every saddle, the bond must feel like a lock way or a closed path. That is, if there is a bond, it will be less than the total freedom level. Thus, having 2 ties would be less than the total freedom level. Therefore, in the case of two-atom gas, the level of freedom will be = (9-2) =7. On the other hand, notice the following image:

Do you understand Three atoms can also be connected by three bonds. As a result, the level of freedom for having three lock ways or closed paths will be = (9-3) =6.