Question

Each of the diagrams below depicts an atom with an excited electron. The most likely transition has the shortest transition time - falling to the ground state. Rank the lifetime in situations A - F from greatest to least, breaking ties alphabetically. (A) (B) (C) -0.45 eV -0.45 eV -0.45 eV O -1.87 eV -1.87 eV -1.87 eV O -4.00 eV o -4.00 eV o -4.00 eV O -5.15 eV -5.15 eV -5.15 eV (D) (E) (F) -0.38 eV -0.54 eV OC -0.38 eV -0.54 eV OO -0.38 eV -0.54 eV 0 -0.85 eV -0.85 eV O -0.85 eV O -1.51 eV -1.51 eV -1.51 eV O O -3.40 eV -3.40 eV O -3.40 eV -13.6 eV O -13.6 eV o -13.6 eV

Answer 1

A Ground state energy be ДЕ Lifetime can measured using uncertainty principle. If T is lifetime and is the energy difference and ground states, then uncer tainty principle , between the exited AE. ~ 2 Ск QSE wthere, t: plank's constant Excited state energy so τ α ДЕ AE - Ee- E. for higher DE, t will be less. Energy of ground state E =-13.6 eV (Minimum Energy) So DEA =-0.45-(-13-6) : 13.15 ev DEB = -1.87-613.6) = 11.73 ev AEC --4--13-6) = 9.6 en o Eg = -0.85-613.6)= 12.75 ev O FE 5-0.54-6-13.6)= 13.06 O EF = -1.51-6-13-6) = 12.09 ev ev lale see that 2 Ofe < AEC DE <DEL DEECAEA te > eB> Ef > To > TE > TA SO

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