Atoms have quantized energy levels similar to those of Planck’s oscillators, although the energy levels of an atom are Page 2 of 2 usually not evenly spaced. When an atom makes a transition between states separated in energy by DE, energy is emitted in the form of a photon of frequency f . Although an excited atom can radiate at any time from t= 0 to t =infinity, the average time interval after excitation during which an atom radiates is called the lifetime Ʈ. If Ʈ =1.0 × 10-8 s, use the uncertainty principle to compute the line width Δ f produced by this finite lifetime.

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Atoms have quantized energy levels similar to those of Planck’s oscillators, although the energy levels
of an atom are
Page 2 of 2
usually not evenly spaced. When an atom makes a transition between states separated in energy by DE,
energy is emitted in the form of a photon of frequency f . Although an excited atom can radiate at any
time from t= 0 to t =infinity, the average time interval after excitation during which an atom radiates is
called the lifetime Ʈ. If Ʈ =1.0 × 10-8 s, use the uncertainty principle to compute the line width Δ f
produced by this finite lifetime.

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