The value of 
, for hydrogen, helium and another ideal diatomic gas X (whose molecules are not rigid but have an additional vibrational mode), are respectively equal to,
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Now, as we know diatomic gases have 5 degrees of freedom, if vibrational mode is neglected.
For Hydrogen 
Similarly, for monoatomic gases like Helium, the degree of freedom will be 3.
For Helium 
If vibrational mode is also considered then degrees of freedom of diatomic gas molecules are 7. For gas X, f = 7.
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