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The response of a structure to dynamic excitation depends, to a large extent, on the first few natural frequencies of the structure.
The optimum design of structures with frequency constraints is of great importance in industries.
In designing the majority of the structures, it is often necessary to restrict the fundamental frequency or several lower frequencies of the structure to a prescribed range in order to avoid severe vibration.
Humar, Prentice-Hall, Dynamics of Structures,(1990) ISBN 0-13-222068-7 [5] P.
W, Atkins, Physical Chemistry. 5thed.

Cellulose molecules linked [13] Lignin is a complex polymer amorphous, structure and chemical bonds still uncertain.
The plasma polymerization is a specific type of chemistry plasma, which involves reactions between plasma species, plasma species and the fiber surface species, and between itself surface species [33].
The spectra show some changes induced by the cited treatment in a region composed of some complex structures such as semi-crystalline, secondary structures and carbonyl groups and alcohol.
The peaks of the treated fibers referring to the region between 1100 and 950 cm-1 are similar to those found in structures of starch and are considered by Van Soest et al. [40] as the effect of re-crystallization of part of the structure of starch.
Demirkir, Activation of spruce wood surfaces by plasma treatment after long terms of natural surface inactivation, Plasma Chemistry and Plasma Processing, 30 (2010), 697-706

A series of polycrystalline bulk samples (Pr0.67Sr0.33MnO3)1-x/ (NiO)x were prepared by solid state reaction, and its structure, electrical transport and magnetoresistance properties were investigated.
X-ray analysis showed that parent compound of Pr0.67Sr0.33MnO3 (PSMO) formed in single phase with crystal structure of orthorhombic while secondary phase of NiO can be detected with the addition of composite.
The NiO does not enter into the PSMO lattice and was found remain outside the PSMO structure.
II. ferromagnetic compounds of manganese with perovskite structure, Physical Review 82 (1951) 403
Mombrú, Microstructure, interparticle interactions and magnetotransport of manganite-polyaniline nanocomposites, Materials Chemistry and Physics 171 (2016) 178-184

The main study focused on theoretical is solution, distribution, and diffusion behaviors for the Impurities, investigated the effect of chemistry, elastic properties and magnetism in different alloys [2-6].
The optimized structure of Bcc Fe displayed in figure 1.
The Optimized Structure of Mo replace Fe atoms in Bcc Fe High-symmetry sites on Fe(100) are displayed in Figure 3.
Optimized Structure of Single S Atom on Fe(100) for the Different Atoms Replace Fe atoms.
The variance is due to the electronic structure of atoms, and a major role for Ni is 3d8 and 4s2, but for C is 2s2 and 2p2.

Clear peak intensity demonstrate from wet milling technique as confirm via XRD analysis indicates that crystalline structure has been improved.
LSCF-SDCC composite cathodes powder produced via wet milling technique have good fine fraction and demonstrates good crystallite structure to be served as cathode of LTSOFC compared to dry milling technique.
Data from JCPDS-International Centre for Diffraction, the lattice structure of commercial powder LSCF is cubic and SDC are face-centered cubic with space group Pm3m and Fm3m respectively.
It may be concluded therefore, that the wet milling is the best technique compared to dry milling in getting the crystallite structure of composite cathodes powder LSCF-SDCC.
Abdullah, La0.6Sr0.4Co0.2Fe0.8O3-δ – SDC carbonate composite cathodes for low-temperature solid oxide fuel cells, Materials Chemistry and Physics. 141 (2013) 752-757

The as-spun nanofibers were calcined at 600°C with heating rate of 5 °C/min in order to remove the PVP template and improve the crystallinity of ATO structure.
Effect of Sb doping concentration on their crystal structure was investigated.
The morphology and crystal structure of the electrospun fibers were analyzed by scanning electron microscope (SEM) and X-ray diffraction (XRD).
After calcination at 600 0C for 3 hr, all samples possess sharp and intense diffraction peaks that are well indexed to the tetragonal structure of SnO2 in JCPDS No. 41-1445.
The higher Sb doping concentration in ATO nanofiber has more fibrous network morphology while it still possesses good crystalline structure.

A little deviation appeared due to the continuous structure of Sm2Zr2O7 in the composites.
It is known that the ionic radius ratio between A site and B site decides the structure of Ln2Zr2O7.
The pure Sm2Zr2O7 with pyrochlore structure was prepared by solid state method.
The Sm2Zr2O7 could maintain its pyrochlore structure under the conditions
Zheng, Phase Relations at 1500°C in the Ternary System ZrO2-Gd2O3-TiO2, Journal of Solid State Chemistry, 160(2001) 302-306.

It can be concluded that the pore structure and acidity of support is a key factor for the design of a sulfur tolerant noble metal catalyst for aromatics saturation of diesel.
The XRD pattern of dried BP is ploted in Fig. 2, showing no Bragg peaks, which means Beta zeolite structure has been fully destroyed during the HCl dissolution.
Fig. 7, NH3-TPD curves of HMSUB-41 and HMCM-41 Hydrothermal stability The mesopore structure of MCM-41 was destroyed almost completely by steaming at 750 °C for 2 h [13,16].
To the contrary, the structure of MCM-41 sample has been destroyed after steaming at 750 °C for 2 h.
Zeolite chemistry and catalysis.

The underlying reason could be ascribed to the fabric structure and thickness.
These tested products have different fiber contents, fabric structure and thickness but all of them provide the cooling function with water.
The fabric thickness and structure may be the possible reason [7].
This may be due to the similar fabric structure and density, although Cooldyxm had a higher wale density than Ice Towel.
The underlying reason could be explained by the fabric structure and thickness.

Isovalent dopants, particularly, such as Zr4+ are often entered into the BT structure (then known as BaZrxTi1-xO3 or BZT) to lower the Tc below room temperature [2, 6, 7].
Here, all samples show a single phase of the tetragonal structure of barium titanate with a space group of P4mm corresponding to ICDD number #831800.
Besides, the decreasing strain also confirms the stability of the structure by the increasing dopant concentration in the host lattice[17].
As mentioned [2], the alteration to a lower energy bandgap might be related to the stress caused by the Zr doping into the BT structure.
Journal of Physics and Chemistry of Solids Vol. 70(10) (2009), p. 1322