The energy levels of the four lowest states of an atom are E. -14.0 eV, %3D E1 = -9.0 cV, E2 = -7.0 eV, %3D E3 = -5.5 eV. E3- E2 E1 Eo Fig. 6.11 and the transition rates A;j (Einstein's A cocfficiets) for the i --→ j transi- tions are A10 = 3.0 x 10® s-1, A20 = 1.2 x 10* s-', A30 = 4.5 x 107 s-1, A21 = 8.0 x 10' s-', A31 = (0, A32 = 1.0 x 107 s-1. Imagine a vessel contaiuing a snbstautial number of atoms in the level E2. (a) Find the ratio of the cucrgy emitted per unit time for the E2 + Eo transition to that for the E2 → E1 transition. (b) Calculate the radiative lifetine of the E level.
The energy levels of the four lowest states of an atom are E. -14.0 eV, %3D E1 = -9.0 cV, E2 = -7.0 eV, %3D E3 = -5.5 eV. E3- E2 E1 Eo Fig. 6.11 and the transition rates A;j (Einstein's A cocfficiets) for the i --→ j transi- tions are A10 = 3.0 x 10® s-1, A20 = 1.2 x 10* s-', A30 = 4.5 x 107 s-1, A21 = 8.0 x 10' s-', A31 = (0, A32 = 1.0 x 107 s-1. Imagine a vessel contaiuing a snbstautial number of atoms in the level E2. (a) Find the ratio of the cucrgy emitted per unit time for the E2 + Eo transition to that for the E2 → E1 transition. (b) Calculate the radiative lifetine of the E level.
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Transcribed Image Text:The energy levels of the four lowest states of an atom are
E, = -14.0 eV,
%3D
E1 = -9.0 cV,
E2 = -7.0 eV,
%3D
Eg = -5.5 eV.
E3-
E2
E1
Eo
Fig. 6.11
and the transition rates A¡j (Einstein's A cocfficiets) for the i --→ j transi-
tions are
A10 = 3.0 x 10® s-1,
A20 = 1.2 x 10* s-', A30
= 4.5 × 107 s-1,
A21 = 8.0 x 107-,
A31 = 0,
A32 = 1.0 x 107 s-1.
Imagine a vessel contaiuing a substautial uunber of atoms in the level
E2.
(a) Find the ratio of the cucrgy emitted per unit time for the E2 → Eo
transition to that for the E2 → Eį transition.
(b) Calculate the radiative lifetine of the E level.
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