Rami Arieli: "The
Laser Adventure" Chapter 2.4.1 page 1
2.4.1 Decay Rate
Energy loss by an excited atom can be performed in two basic ways:
-
Non-radiative decay - by transferring
the energy to mechanical vibrations of neighboring atoms. The rate for
this type of decay is gnr.
The macroscopic effect of these vibrations is what we call heat (or rise
in temperature).
-
Radiative decay - by spontaneous emission
at a rate grad.
Examples from everyday life of radiative decay:
-
In a phosphorescent material,
the atoms are excited by radiation at one wavelength, and after the excitation
stops, we can still see (under proper illumination) a glow which is the
photons emitted by excited atoms when they return to their ground state.
-
Spontaneous
Emission in Neon signs
- Neon gas atoms inside a tube are excited by an electrical discharge through
the gas. When these atoms return to their ground state, they emit photons
in the visible spectrum.
Explanation:
Neon gas is transparent to radiation in the visible spectrum, but the spectrum
emitted out of a neon sign is in the Orange-Red spectrum. The natural absorption
spectrum of Neon atoms is in the Ultra-Violet (UV) spectrum, but in a Neon
sign gas tube, the Neon gas is ionized because of the electrical discharge.
The ionized Neon atoms emit the visible radiation.
The total decay rate
of a certain level is the sum of the decay rates of the two processes:
g = gnr + grad
Orders of magnitude for decay lifetime for atoms:
Non radiative decay:
picoseconds - microseconds (10-12 - 10-6 [sec]) -
very fast.
Radiative decay:
microseconds - milliseconds (10-6 - 10-3 [sec])