Microscopic Theory of Multipole Ordering in <svg style="vertical-align:-4.698pt;width:14.5125px;" id="M1" height="21.9375" version="1.1" viewBox="0 0 14.5125 21.9375" width="14.5125" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(.022,-0,0,-.022,.062,16.025)"><path id="x1D453" d="M619 670q0 -13 -9 -26t-18 -19q-13 -10 -25 2q-36 38 -66 38q-31 0 -54.5 -50t-45.5 -185h120l-20 -31l-107 -12q-23 -138 -57 -293q-27 -122 -55 -184.5t-75 -109.5q-60 -61 -114 -61q-25 0 -47.5 15t-22.5 31q0 17 31 44q11 8 20 -1q10 -11 31 -19t35 -8q26 0 47 19
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<table>CEF energy levels obtained by the diagonalization of <svg height="15.4" id="M287" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 33.737499 15.4" width="33.737499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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Physics Research International

fig2

Figure 2

Figure 2: Microscopic Theory of Multipole Ordering in <svg style="vertical-align:-4.698pt;width:14.5125px;" id="M1" height="21.9375" version="1.1" viewBox="0 0 14.5125 21.9375" width="14.5125" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(.022,-0,0,-.022,.062,16.025)"><path id="x1D453" d="M619 670q0 -13 -9 -26t-18 -19q-13 -10 -25 2q-36 38 -66 38q-31 0 -54.5 -50t-45.5 -185h120l-20 -31l-107 -12q-23 -138 -57 -293q-27 -122 -55 -184.5t-75 -109.5q-60 -61 -114 -61q-25 0 -47.5 15t-22.5 31q0 17 31 44q11 8 20 -1q10 -11 31 -19t35 -8q26 0 47 19
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Physics Research International

Microscopic Theory of Multipole Ordering in -Electron Systems

Figure 2