The lifetime of (excited state) is
. If the excited state is
above the ground state determine the linewidth
and ratio
.
In atomic and molecular spectroscopy, the lifetime of an excited state, usually denoted as ( \tau ), is inversely related to the uncertainty in its energy, which manifests as the spectral linewidth. According to the energy-time uncertainty principle, ( \Delta E \cdot \tau \approx \hbar ), where ( \Delta E ) is ____ _____ __________ ______ _____ _________ ___ ______ _______ _____ ___ ___.
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