Question Solved1 Answer A certain molecule fluoresces at a wavelength of 400 nm with a half-life of 1.0 ns. It phosphoresces at 500 nm. If the ratio of the transition probabilities for stimulated emission for the S* → S to the T → S transitions if 1.0 × 105, what is the half-life of the phosphorescent state? Note: Please explain how you come up with the answer and write clearly so I can follow the solution.
NUODK6 The Asker · Chemistry
A certain molecule fluoresces at a wavelength of 400 nm
with a half-life of 1.0 ns. It phosphoresces at 500 nm. If the
ratio of the transition probabilities for stimulated emission
for the S* → S to the T → S transitions if 1.0 × 105, what is the
half-life of the phosphorescent state?
Note:
Please explain how you come up with the answer and write clearly so I can follow the solution.
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solutionweknow that,A=((K)/(R^(3)))B quad K=" constant "At 400nm{:[A(400)=((K)/((400)^(3)))B(400)],[A(500)=((k)/((500)^(3)))B(500)]:}pivided eq (2){:[(A(500))/(A(400))=((400)^(3)B(500))/((500)^(3)B(400))],[" given "(B(500))/(B(400))=(1)/(1xx105)],[=(64)/(125 ... See the full answer