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Table 2 Coincidence detection probabilities for each value of deposited energy obtained from the analytical model due to (a) β decay followed by its subsequent 176Hf isomeric transition particles interacting in the source crystal (C1) and (b) γ-ray absorption in the detector crystal (C2)

From: Coincidence energy spectra due to the intrinsic radioactivity of LYSO scintillation crystals

a
 Edep (keV)Interactions (γ-ray absorption or IC) in C1Crystal separation distance (cm)
 02.51021
 0-1.60 × 10−48.33 × 10−51.76 × 10−54.70 × 10−6
 88γ3 or IC33.15 × 10−21.44 × 10−22.76 × 10−37.34 × 10−4
 202γ2 or IC26.59 × 10−43.04 × 10−46.01 × 10−51.57 × 10−5
 2902 or IC2) and (γ3 or IC3)8.39 × 10−23.11 × 10−25.37 × 10−31.38 × 10−3
 307γ12.20 × 10−41.10 × 10−42.27 × 10−56.03 × 10−6
 395γ1 and (γ3 or IC3)3.44 × 10−21.52 × 10−22.87 × 10−37.67 × 10−4
 509γ1 and (γ2 or IC2)7.53 × 10−43.34 × 10−46.55 × 10−51.70 × 10−5
 597γ1 and (γ2 or IC2) and (γ3 or IC3)0000
b
 Edep (keV)γ-ray absorption in C2Crystal separation distance (cm)
 02.51021
 0-0000
 88γ31.23 × 10−36.05 × 10−41.25 × 10−43.26 × 10−5
 202γ25.03 × 10−22.38 × 10−24.65 × 10−31.25 × 10−3
 290γ2 and γ37.30 × 10−51.53 × 10−55.86 × 10−74.08 × 10−8
 307γ19.43 × 10−23.61 × 10−26.37 × 10−31.65 × 10−3
 395γ1 and γ31.37 × 10−42.33 × 10−58.04 × 10−75.39 × 10−8
 509γ1 and γ25.59 × 10−39.15 × 10−42.99 × 10−52.06 × 10−6
 597γ1 and γ2 and γ38.11 × 10−65.89 × 10−73.78 × 10−96.74 × 10−11
  1. Edep deposited energy