“…The temperature dependences of the static magnetic susceptibility ( ) is the Bohr magneton, k B is the Boltzmann constant, g is the Lande factor of the ground multiplet with the total angular moment J, g || and g are the g-factors of the ground Kramers doublet determined from the EPR spectra (see below)).As the magnetic field increases, a noticeable dependence of the magnetization on the field direction appears due to mixing of wave functions of the ground and excited CF levels by the Zeeman interaction (see Figure 1). Of particular interest for justification of the CF parameter sets is the difference in the relative shifts of magnetization curves of Er 3+ and Yb 3+ ions in magnetic fields along the tetragonal [001] axis, in this case the observed magnetization in strong magnetic fields has maximum values for the Yb 3+ ions but minimum values for the Er 3+ ions.The gaps of ~600 cm -1 and ~50 cm -1 between the ground 4 doublet and the first excited state ofYb 3+ and Er 3+ ions [24], respectively, differ by more than an order of magnitude, and, in agreement with the nonlinear mechanism of the single-ion magnetic anisotropy in cubic paramagnetic centers, it is remarkably stronger in Y 2 Ti 2 O 7 :Er 3+ than in Y 2 Ti 2 O 7 :Yb 3+ single crystals.…”