scholarly journals Extending Phenomenological Crystal-Field Methods to C1 Point-Group Symmetry: Characterization of the Optically Excited Hyperfine Structure of Er1673+:Y2SiO5

2019 ◽  
Vol 123 (5) ◽  
Author(s):  
S. P. Horvath ◽  
J. V. Rakonjac ◽  
Y.-H. Chen ◽  
J. J. Longdell ◽  
P. Goldner ◽  
...  
Author(s):  
S. D. Guest ◽  
P. W. Fowler

A symmetry-adapted version of the Maxwell rule appropriate to periodic bar-and-joint frameworks is obtained, and is further extended to body-and-joint systems. The treatment deals with bodies and forces that are replicated in every unit cell, and uses the point group isomorphic to the factor group of the space group of the framework. Explicit expressions are found for the numbers and symmetries of detectable mechanisms and states of self-stress in terms of the numbers and symmetries of framework components. This approach allows detection and characterization of mechanisms and states of self-stress in microscopic and macroscopic materials and meta-materials. Illustrative examples are described. The notion of local isostaticity of periodic frameworks is extended to include point-group symmetry.


2019 ◽  
Vol 61 (5) ◽  
pp. 887
Author(s):  
N.L. Jobbitt ◽  
S.J. Patchett ◽  
Y. Alizadeh ◽  
M.F. Reid ◽  
J.-P.R. Wells ◽  
...  

AbstractZeeman spectroscopy is used to demonstrate that phenomenological crystal-field parameters determined for the two C _1 point-group symmetry sites in Er^3+:Y_2SiO_5 may be transferred to other ions. The two crystallographic six-and seven-coordinate substitutional sites may be distinguished by comparing the spectra with crystal-field calculations.


1994 ◽  
Vol 376 ◽  
Author(s):  
M. Loewenhaupt ◽  
C.-K. Loong ◽  
P. Tils ◽  
W. Hahn

ABSTRACTWe investigated the magnetic excitations in polycrystalline samples of hard magnet related compounds DyFe4Al8 and DyMn4Al8 by neutron spectroscopy. For both compounds the magnetic spectra at energies below 40 meV are dominated by the response of the Dy3+ ions. In DyMn4Al8 we observed pure crystal-field transitions within the Dy3+ J=15/2 ground multiplet which is split into 8 doublets under the low point-group symmetry of 4/mmm. In DyFe4Al8 the Dy crystal-field-split states are perturbed by the molecular fields of the ordered Fe sublattice.


1975 ◽  
Vol 53 (7) ◽  
pp. 723-738 ◽  
Author(s):  
B. C. Sanctuary ◽  
R. F. Snider

The gas kinetic theory of nuclear magnetic relaxation of a polyatomic gas, as formulated in the previous paper, is evaluated for ZX3Y molecules relaxing via a dipolar coupling Hamiltonian. Stress is given to a proper treatment of point group symmetry, here C3v, and the possibility of molecular inversion is included. The detailed formula for the spin traces is however restricted to X nuclei with spin 1/2. A subsequent paper uses these results to elucidate the structure of the high density dependence of T1 forCF3H.


Nanoscale ◽  
2017 ◽  
Vol 9 (30) ◽  
pp. 10596-10600 ◽  
Author(s):  
Lei Xu ◽  
Ziba Zangeneh ◽  
Ravi Yadav ◽  
Stanislav Avdoshenko ◽  
Jeroen van den Brink ◽  
...  

A remarkably large magnetic anisotropy energy of 305 K is computed by quantum chemistry methods for divalent Fe2+ d6 substitutes at Li-ion sites with D6h point-group symmetry within the solid-state matrix of Li3N.


2021 ◽  
Vol 103 (10) ◽  
Author(s):  
Y. J. Jin ◽  
Z. J. Chen ◽  
X. L. Xiao ◽  
H. Xu

IUCrData ◽  
2017 ◽  
Vol 2 (6) ◽  
Author(s):  
Yoshiyuki Mizuhata ◽  
Yamato Omatsu ◽  
Norihiro Tokitoh

The molecule of the title compound, C36H60Si6, exhibits point group symmetryCi, with the centre of inversion located at the centre of the Si6ring. The Si6ring has a chair conformation. In the crystal, molecules are linkedviaC—H...π(allyl) interactions.


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