“…This Hamiltonian serves as a mathematical representation of the system's energy and encompasses the Hamiltonian configuration H 0 with the energy E 0 (120 times degenerated) of the free ion, the Hamiltonian H ee ( B , C ) (where B and C design the Racah parameters of electron–electron repulsions), the Trees correction Hamiltonian H Trees ( α ) ( α being the Trees parameter), the crystal field Hamiltonian H CF and the spin–orbit Hamiltonian H SO ( ζ ) ( ζ being the spin–orbit coefficient). 31–34 The Wybourne's notation gives the equation of the crystal field Hamiltonian H CF for an octahedral symmetry: 33 …”
The spinels ZnAl1.99−xHoxCr0.01O4 (with x = 0 and 0.001) were synthesized using a solid-state method, and various techniques were employed for their characterization.
“…This Hamiltonian serves as a mathematical representation of the system's energy and encompasses the Hamiltonian configuration H 0 with the energy E 0 (120 times degenerated) of the free ion, the Hamiltonian H ee ( B , C ) (where B and C design the Racah parameters of electron–electron repulsions), the Trees correction Hamiltonian H Trees ( α ) ( α being the Trees parameter), the crystal field Hamiltonian H CF and the spin–orbit Hamiltonian H SO ( ζ ) ( ζ being the spin–orbit coefficient). 31–34 The Wybourne's notation gives the equation of the crystal field Hamiltonian H CF for an octahedral symmetry: 33 …”
The spinels ZnAl1.99−xHoxCr0.01O4 (with x = 0 and 0.001) were synthesized using a solid-state method, and various techniques were employed for their characterization.
“…It has been reported that the Cr 3+ transition ions have a high crystal field stabilization energy when located at octahedral lattice sites (O h ). [30][31][32][33][34][35][36][37][38] In this case, the Cr 3+ ion substitutes the Al 3+ ion in the O h site symmetry. As the ionic radius of Cr 3+ (= 0.61 Å) is larger than that of Al 3+ (= 0.53 Å), the octahedron formed by six oxygen atoms is distorted.…”
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