The 3s state of neon is 16.6 eV above the ground state. A) estimate the relative

Question

The 3s state of neon is 16.6 eV above the ground state. A) estimate the relative populations of the ground state andthe 3s state a T=293K B) Repeat for T=200K C) Repeat for T=500K D) What implications do your answers have for the operation ofa He-Ne laser at various temperatures? The 3s state of neon is 16.6 eV above the ground state. A) estimate the relative populations of the ground state andthe 3s state a T=293K B) Repeat for T=200K C) Repeat for T=500K D) What implications do your answers have for the operation ofa He-Ne laser at various temperatures?

Explanation / Answer

Population of agiven state e -(energy of the state /kT)
where k is Boltzmann's constant and T the temperature.
k=8.617 * 10^(-5) eV k^(-1)

One way of comparing populations of the ground state and 3s stateis by division.

Population of theground sate/Population of the 3s state =e (-ground stateenergy-(-energy of the 3s state)) / kT

Ans()=e -(energy of the ground state - energy of the 3sstate)/kT

Therefore, for T=293K,

Ans(a)=e(16.6/k*293) =4.6*10^284

for T=200K

Ans(b)=e(16.6/k*200)    =1.0*10^417

for T=500K

Ans(c)=e(16.6/k*500) =6.5*10^166

D) In He-Ne laser, 5s to 3p transition gives lasing action.Population inversion of 5s and 3p states depends on the number ofatoms at the ground level. So more the number of atoms in theground state more effective the lasing action. Lesser the temperature, more are the ground state atoms more effective thelasing action.

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