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the branching probability of these phenomena can be expressed as

      (1.70)equation

      where Pscintillation, Pstorage, and Pthermal are the branching probabilities of secondary electrons to scintillation, storage luminescence, and thermal loss, respectively. It should be noted that the thermal energy loss is a very rough concept, and contains energy loss during any diffusion processes and relaxation processes at localized trapping and luminescence centers. Although the above equation is quite natural if we assume energy conservation, such a relation has not been considered historically because scintillator and dosimeters with storage phosphors have been investigated in different scientific fields.

Schematic illustration of the inverse proportional relationship of Ce differently doped CaF2 single crystals on the plane of OSL intensity.

       Source: The data taken from [86].

      This experimental result presents some important problems to conventional understanding of ionizing radiation induced luminescence fields. For example, from the viewpoint of scintillation, the degradation of light yield in higher dopant concentration has been interpreted as concentration quenching. However, Figure 1.10 shows that most energy in highly Ce‐doped samples is not converted to thermal loss but to energy storage. Another point is the ε‐value, which is the average energy to generate one electron–hole pair in solid state materials. The most common example is the Si semiconductor detector, and the value of Si is known to be ~3.6 eV (=βEg of Si in conventional understanding based on Section 1.3), which also relates to the theoretical limit of Si solar cell of <30% ~ 1/3.6 ~ 28%. The ε‐value is also defined for scintillators, and has been considered as 10–20 eV. This calculation is based on the scintillation light yield from a pulse height spectrum, and does not take into account storage luminescence. If we consider the ε‐value from the definition, such an estimation in scintillators is not correct, because we do not count the contribution from the carrier storage.

      As described above, we think ionizing radiation induced luminescence can be treated as one form of unified physics, and this is why we describe these topics in one book, although they have often been treated as different scientific fields. In this case, the base of the consideration is the energy conservation law, and it strongly assumes the integration of energy in infinite time, which is a standard strategy in astrophysics because the real‐time (time‐derivative) observation is impossible. The author (Yanagida) studied astrophysics, and the consideration depends on the field of the origin. Recently, another author (Koshimizu), whose field of origin is in solid state physics, proposed a real‐time observation on the energy transportation (carrier diffusion) process, which is a key process to understanding S in the equations presented in the previous sections. Such an observation is enabled by transient absorption spectroscopy, i.e., optical absorption spectroscopy as a function of time after excitation by pulsed electron beams. Because the excited states are probed with optical absorption, their real‐time dynamics prior to scintillation can be analyzed. Actually, slow decay of the transient absorption correlates with low scintillation intensity, and is consistent with observation results based on energy conservation. Such transient spectroscopy has long been used with pulsed light, from flash lamps to laser instruments, as excitation sources to elucidate the excited states dynamics. For ionizing radiation, pulsed electron beams can be used as excitation sources. Such a measurement technique based on pulsed electron beams has also long been used to analyze the chemical reaction dynamics in radiation chemistry and is called “pulse radiolysis.” This technique can also be applied to ionizing radiation‐induced luminescence materials and gives information on energy transfer, carrier trapping, and quenching. Thus, to understand S, both energy conservation and temporal analysis‐based experiments have been used recently.