Dieke s diagram

Tm + ions is grown, (a) Using the Dieke s diagram in Figure 6.1, determine the more suitable initial and final states to produce this luminescence. 

Although the energy levels are overestimated in the first-principles method, if we take into account the element-specific scaling factor estimated from the free-ion calculations [30,31], the results of the first-principles method agree well with those of the semiempirical method and also with the experimental data such as the Dieke s diagram. 

As an application to the optical materials, we have shown the first-principles calculations of multiplet energy levels and 4f"—4f"-15d transition spectra of RE ions in YLF. The calculated energy levels provide a theoretical extension of the well known Dieke s diagram up to ca. 350,000 cm-1. The origins of the peaks in the spectra were clarified based on the configuration analysis of the explicit many-electron wave functions. 

Fig. 1.5 Dieke s diagram free-ion energy levels of trivalent rare earth ions. Reproduced from Ref. [22] by permission of John Wiley Sons Ltd...

Wegh TR, Meijerink A, Lammi nmaki RJ, Hdlsa J (2000) Extending Dieke s diagram. J Lumin 87-89 1002-1004... 

The fluorescence lifetime of the /2 metastable state of Nd + ions in LaBGeOs (a solid state laser) is 280 /u.s and its quantum efficiency is 0.9. (a) Calculate the radiative and nonradiative rates from this excited state, (b) If the effective phonons responsible for the nonradiative rate have an energy of 1100 cm, use the Dieke diagram to determine the number of emitted effective phonons from the F3/2 excited state, (c) From which three excited states of the Nd + ions in LaBGeOs do you expect the most intense luminescence emissions to be generated ... 

---