(c) If T, = 1x10-7 s, T2 = 4x10-8 s, and T3 = 1x10-8 s, calculate the lifetime of the singlet state and the quantum yield for the path that has T2: (Enter an unrounded value with :least 3 digits.) Calculate using the equation given in (b). s-! Solve for T, the lifetime of the singlet state. T =

Fundamentals Of Analytical Chemistry
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Author:Skoog
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Chapter6: Random Errors In Chemical Analysis
Section: Chapter Questions
Problem 6.16QAP
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where i denotes the ith decay mechanism.
Give the equation for quantum yield Pj.
rate of formation of the singlet state
rate of ith decay mechanism
rate of ith decay mechanism
rate of removal of the singlet state
2 0; =
rate of ith decay mechanism
rate of formation of the singlet state
rate of removal of the singlet state
rate of ith decay mechanism
O; =
Step 4 of 6
Give the quantum yield Þj. (Use the following as necessary: kj, k1, k2, k3, and t.)
k + k, + k
ki
3
ki + k2 + k3
Recalling the relationship between the overall rate constant, k, and the mean lifetime, T, give the quantum yield P; in terms of t and Tj. (Use the following as necessary: T and T;)
i
Step 5 of 6
(c) If T1 = 1×10-/ s, T2 = 4x10-8 s, and T3 = 1×10-8 s, calculate the lifetime of the singlet state and the quantum yield for the path that has T2. (Enter an unrounded value with at least 3 digits.)
Calculate
using the equation given in (b).
s-1
Solve for T, the lifetime of the singlet state.
T =
Transcribed Image Text:where i denotes the ith decay mechanism. Give the equation for quantum yield Pj. rate of formation of the singlet state rate of ith decay mechanism rate of ith decay mechanism rate of removal of the singlet state 2 0; = rate of ith decay mechanism rate of formation of the singlet state rate of removal of the singlet state rate of ith decay mechanism O; = Step 4 of 6 Give the quantum yield Þj. (Use the following as necessary: kj, k1, k2, k3, and t.) k + k, + k ki 3 ki + k2 + k3 Recalling the relationship between the overall rate constant, k, and the mean lifetime, T, give the quantum yield P; in terms of t and Tj. (Use the following as necessary: T and T;) i Step 5 of 6 (c) If T1 = 1×10-/ s, T2 = 4x10-8 s, and T3 = 1×10-8 s, calculate the lifetime of the singlet state and the quantum yield for the path that has T2. (Enter an unrounded value with at least 3 digits.) Calculate using the equation given in (b). s-1 Solve for T, the lifetime of the singlet state. T =
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