The occupation probability of state / with an energy & is given by: exp(-ɛ¡/kµT) q p(ε₁) = where k is the Boltzmann constant, q the partition function, and T the temperature. For a system with three states & (ground state), &₁, and &2, the respective occupation probabilities are po = 0.9, p₁ = 0.09 and p2 = 0.01 at 298 K. (a) Write down the expression for the partition function q for the system assuming the ground state energy &o= 0; (b) Determine the value of the partition function q using the given occupation probability for the ground state.

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The occupation probability of state i with an energy &; is given by:
exp(-₁/KBT)
q
p(ε₁) =
where kø is the Boltzmann constant, q the partition function, and T the
temperature.
For a system with three states & (ground state), 8₁, and &2, the respective
occupation probabilities are po = 0.9, p₁ = 0.09 and p2 = 0.01 at 298 K.
(a) Write down the expression for the partition function q for the system
assuming the ground state energy &o= 0;
(b) Determine the value of the partition function q using the given
occupation probability for the ground state.
Transcribed Image Text:The occupation probability of state i with an energy &; is given by: exp(-₁/KBT) q p(ε₁) = where kø is the Boltzmann constant, q the partition function, and T the temperature. For a system with three states & (ground state), 8₁, and &2, the respective occupation probabilities are po = 0.9, p₁ = 0.09 and p2 = 0.01 at 298 K. (a) Write down the expression for the partition function q for the system assuming the ground state energy &o= 0; (b) Determine the value of the partition function q using the given occupation probability for the ground state.
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