Abstract:The crystal structure of Li 2 B 4 O 7 was studied by single crystal X-ray diffraction whilst the substance was cooled down from room temperature to Ϫ150°C. The title compound crystallizes in the tetragonal, non-centrosymmetric space group I 4 1 cd (no. 110), a ϭ 9.475(5) Å (r.t.), c ϭ 10.283(6) Å (r.t.), R values for seven different data sets vary from 2.6 to 2.9 %. Low-temperature single crystal examinations were combined with low-temperature powder X-ray diffraction experiments (Ϫ189 Ϫ ϩ27°C). The results ar… Show more
“…Like silicates [73], the borates under study (see Section 4) show a weak contraction of the majority of individual and average strong and short B-O bond lengths when temperature changes, as it was observed in previously studied α-Na 2 B 8 O 13 [46], LiB 3 O 5 (20-400) [47], α-CsB 5 O 8 [48], and Li 2 B 4 O 7 [50,51]. The results of these studies were summarized in [26].…”
Section: Systematic Variations With Temperature Of Boron-oxygen Bond supporting
confidence: 52%
“…The thermal invariability of rigid groups has been proven by single crystal HTXRD and LTXRD studies (HT, high temperature; LT low temperature) of about a dozen of borates [46][47][48][49][50][51][52][53][54][55][56][57][58], etc. These results have been summarized in [26,34,42,43] and are briefly described here.…”
Section: Thermal Invariability Of Rigid B-o Groupsmentioning
Abstract:In the present study the thermal structure evolution is reviewed for known nonlinear optical borates such as β- (98-348 K). In addition to the established criteria for nonlinear optical (NLO) properties of crystals, here the role of the anisotropy and anharmonicity of the thermal vibrations of atoms is analysed as well as changes in their coordination spheres and the anisotropy of the thermal expansion of the crystal structure. Non-centrosymmetric borates, especially those that have NLO properties, often show distinct anisotropies for each cation in comparison to centrosymmetric borates. All considered NLO borates contain BO 3 triangles, which are the principal cause of the strong anisotropy of the thermal expansion.Keywords: NLO borates; crystal structures at low and high temperatures; rigid boron-oxygen groups; anisotropic and anharmonic atomic vibrations; thermal expansion; low-and high-temperature single-crystal and powder X-ray diffraction
“…Like silicates [73], the borates under study (see Section 4) show a weak contraction of the majority of individual and average strong and short B-O bond lengths when temperature changes, as it was observed in previously studied α-Na 2 B 8 O 13 [46], LiB 3 O 5 (20-400) [47], α-CsB 5 O 8 [48], and Li 2 B 4 O 7 [50,51]. The results of these studies were summarized in [26].…”
Section: Systematic Variations With Temperature Of Boron-oxygen Bond supporting
confidence: 52%
“…The thermal invariability of rigid groups has been proven by single crystal HTXRD and LTXRD studies (HT, high temperature; LT low temperature) of about a dozen of borates [46][47][48][49][50][51][52][53][54][55][56][57][58], etc. These results have been summarized in [26,34,42,43] and are briefly described here.…”
Section: Thermal Invariability Of Rigid B-o Groupsmentioning
Abstract:In the present study the thermal structure evolution is reviewed for known nonlinear optical borates such as β- (98-348 K). In addition to the established criteria for nonlinear optical (NLO) properties of crystals, here the role of the anisotropy and anharmonicity of the thermal vibrations of atoms is analysed as well as changes in their coordination spheres and the anisotropy of the thermal expansion of the crystal structure. Non-centrosymmetric borates, especially those that have NLO properties, often show distinct anisotropies for each cation in comparison to centrosymmetric borates. All considered NLO borates contain BO 3 triangles, which are the principal cause of the strong anisotropy of the thermal expansion.Keywords: NLO borates; crystal structures at low and high temperatures; rigid boron-oxygen groups; anisotropic and anharmonic atomic vibrations; thermal expansion; low-and high-temperature single-crystal and powder X-ray diffraction
“…Then, the crystal was returned to 30 K in the microwave cavity, and the EPR spectra were again recorded. This procedure of warming the sample to successively higher temperatures was repeated in 25 C steps from 50 to 200 C. After each anneal, the sample was returned to 30 K where the intensities of the EPR signals were monitored. The data in Fig.…”
McClory, J.; Petrosky, J. C.; Adamiv, V. T.; Burak, Ya. V.; Dowben, Peter A.; and Halliburton, L. E., "Electron and hole traps in Ag-doped lithium tetraborate (Li2B4O7) crystals" (2011).
“…23 it is defined that c lattice parameter shows a minima on its temperature evolution around 500 K. Recent high-resolution powder diffraction studies using synchrotron radiation 24 performed on Li 2 B 4 O 7 with natural isotope composition showed lattice contraction in ͓001͔ direction of the lattice, but did not reveal any extrema on thermal dependence of cell volume.…”
Section: A Lattice Parameters and Microstructurementioning
confidence: 98%
“…The Li-O polyhedron can be presented as a distorted tetrahedron built on O1, O2, O3a, and O3b, whereas at higher temperatures it can be better defined as a distorted bipyramid 23 built on O1, O2, O3a, O3b, and O4. The Li-O1 interatomic distance almost linearly increases upon heating from 2.130͑2͒ Å at 3.4 K to 2.183͑4͒ Å at 268 K. The Li-O2 bond length displays linear increase as well ͓1.950͑1͒ Å at 3.4 K and 1.967͑2͒ at 268 K͔ but with smaller magnitude of thermal elongation.…”
Coherent neutron powder diffraction experiments were carried out together with specific heat, dilatometry, and dielectric spectroscopy studies on Li 2 B 4 O 7 enriched with 11 B isotope to 99.3% at low temperatures. Neither traces of phase transformations nor discontinuous changes in physical properties were observed. Negative thermal expansion, anomalous thermal behavior of selected interatomic distances/angles, isotropic displacement parameters on specific sites as well as dielectric constant were discussed in terms of dynamic lithium disorder.
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