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We observe that the 19F spin-lattice relaxation rate 1/T1 is controlled by the fluctuating field of the Ho ion and, consequently, 1/T1 increases sharply at resonant magnetic field values where the energy levels are predicted to have level crossings/avoided level crossings, in agreement with the magnetization measurements.
consequently (57).
Since and consequently (3.14).
Observe that, consequently, (3.21).
Then, consequently (2.6).
and consequently (3.45).
Consequently,⦀AX−XA⦀⩽12∥A∥⦀X⊕X⦀ for every unitarily invariant norm.
and consequently (64) can be deduced.
If, then on, and consequently, (2..52).
Hence, we have for and consequently (3.16).
Hence, (2.8) (consequently (2.5)) has a unique solution for each.
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