or = hbar/2\"> \\(\\Delta E\\Delta t > or = hbar/2\\) Another version of the unc

Question

     or = hbar/2"> (Delta EDelta t > or = hbar/2)     Another version of the uncertainty principle, more relevant to chemistry, is the Time-Energy Uncertainty Principle:

Where delta E is the uncertainty in the energy of an electronic state and delta t is the lifetime of that state.

The figure below shows the electronic absoption spectrum of a molecule at two different conditions: 77 K, where the molecule is frozen and the electronic excited state is stable, and at RT (298K), where the molecule is not frozen and the electronic excited state becomes unstable. Clearly, the unstable excited state results in a broader band of absorption. rationalize these observations in terms of the Time-Energy Uncertainty Principle, and estimate the minimum lifetime of the excited state at room temperature from the figure.

RT shows a peak at around 590nm and 77K shows a peak at around 590nm too in the graph

Explanation / Answer

figure?

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