4. By evaluating the integral - På/2mkT dxdp, h x-0J Px - obtain a partial partition function for the translation of a system in one dimension with the motion limited to the region O< x< L. Hence show that the partition function for translational motion in three dimensions as given in equation 7.28 is given by Z = Z,Z,Z, and that the energy per degree of freedom calculated as kT²{ð log Z„/ƏT}, is kT.
4. By evaluating the integral - På/2mkT dxdp, h x-0J Px - obtain a partial partition function for the translation of a system in one dimension with the motion limited to the region O< x< L. Hence show that the partition function for translational motion in three dimensions as given in equation 7.28 is given by Z = Z,Z,Z, and that the energy per degree of freedom calculated as kT²{ð log Z„/ƏT}, is kT.
Related questions
Question
Transcribed Image Text:4. By evaluating the integral
e-Ph/2mkT dxdp,
h
= Z,
x-0 Px=- 00
obtain a partial partition function for the translation of a system
in one dimension with the motion limited to the region O< x< L.
Hence show that the partition function for translational motion
in three dimensions as given in equation 7.28 is given by
Z = Z,Z,Z,
and that the energy per degree of freedom calculated as
kT²{ð log Z/ƏT}L is kT.
104
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
