First consider some simple electronic partition functions: a. Consider a two-level system of N particles separated by an energy of hv. i. Derive expressions for ē, E, and P as a function of T. P, is the probability that the system is in the higher energy level. ii. What are the limiting values for each of these at T = 0 and kT » hv. iii. For a level spacing of 200 cm-1 what is T when E Nhy. %| iv. What is P, at the T found in part iii?
First consider some simple electronic partition functions: a. Consider a two-level system of N particles separated by an energy of hv. i. Derive expressions for ē, E, and P as a function of T. P, is the probability that the system is in the higher energy level. ii. What are the limiting values for each of these at T = 0 and kT » hv. iii. For a level spacing of 200 cm-1 what is T when E Nhy. %| iv. What is P, at the T found in part iii?
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Transcribed Image Text:First consider some simple electronic partition functions:
a. Consider a two-level system of N particles separated by an energy of hv.
i. Derive expressions for ē, E, and P, as a function of T. P, is the
probability that the system is in the higher energy level.
ii. What are the limiting values for each of these at T = 0 and kT » hv.
iii. For a level spacing
200 cm
what is T when Ē = Nhv.
iv. What is P, at the T found in part iii?
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