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Volumes and surface areas of common solids
Published in John Bird, Bird's Basic Engineering Mathematics, 2021
A square-based pyramid is shown in Fig. 28.9 with base dimensions x by x and the perpendicular height of the pyramid h. For the square-base pyramid shown, volume=13x2hProblem 9. A square pyramid has a perpendicular height of 16 cm. If a side of the base is 6 cm, determine the volume of the pyramid
Volumes and surface areas of common solids
Published in John Bird, Basic Engineering Mathematics, 2017
A square pyramid has a perpendicular height of 4cm $ 4\,\,\text{ cm} $ . If a side of the base is 2.4cm $ 2.4\,\,\text{ cm} $ long, find the volume and total surface area of the pyramid.
Improving the operating time of the multi slope shape solar still
Published in Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 2021
S Arun Kumar, P Suresh Mohan Kumar
The SBMSSS is fabricated with basin, insulation, transparent plate, level indicator, and solenoid valve. Two SBMSSS and one solar pond are fabricated for experiments. The SBMSSS basin is made of a stainless-steel sheet and in 0.5 m X 0.5 m square shape. The inner side of the basin is coated with black paint. The outer side of the basin is surrounded by 0.02 m thick thermocol as insulation. The multi slopes are formed by a square pyramid shape. The square pyramid shape transparent plate is placed above the square basin. The 0.004 m glass is used as the transparent plate. The title angle of the transparent plate is 30°. The level indicator is placed inside the square basin for maintaining the constant 0.02 m depth of brine. The solenoid valve on and off is actuated by the level indicator signal. The solar pond is constructed by a transparent plate and a copper coil is placed inside it. The glass is used as a transparent plate. The 0.006 m thickness of the transparent plate used in the solar pond. The dimensions of the solar pond are fabricated as 0.75 m X 0.3 m bottom area, 1 m X 0.5 m top area, and 0.3 m height. The 0.005 m diameter copper coil.
Two hundred times enhancement of emission intensity of a heptadentate acyclic sensor coordinated with Zn2+ ion: synthesis, crystal structure and emission properties
Published in Journal of Coordination Chemistry, 2020
The geometry optimization of 1 was performed in solution phase (methanol) and significant bond distances and angles of the optimized geometry at the ground S0 state along with the crystal structure parameters are given in Table 2. The optimized structure in solution state is shown in Figure 2(b). In solution phase, the geometry around the Zn1 ion is intermediate between a square-pyramid and a distorted trigonal bipyramid (τ = 0.34) whereas that of Zn2 is a square-pyramid (τ = 0.07) [23]. Hence, in solution phase, both the zinc centers preferred the square-pyramidal environment while the solid state shows higher τ values. The crystal structure data in solid state has shown a regular deviation with optimized parameters in calculated theoretical form. In each bond length some relaxation arises in solution phase which leads to larger bond distances and influences the bond angles as well as changes the geometrical environment around the zinc metal centers. It was observed that the maximum deviation arises in the Zn1 − O4 and Zn2 − O5 bond distance in solution phase. The lengthening of bond distance of the zinc ion with the oxygen atom of the coordinated water molecule in solution phase implies that the displacement of water molecules borne on adjacent metal centers is smaller. The Zn···Zn separation of the complex in solution state was 3.201 Å, which implies that in solution the two zinc ions come closer to each other than in the solid state (3.455).
Stability and electronic properties of Rh-doped ruthenium clusters and their interaction with NH3 molecule
Published in Molecular Physics, 2020
Mouhssin Boulbazine, Abdel-Ghani Boudjahem, Salem Chaguetmi, Abdelhak Karaman
For Ru8Rh cluster, the capped cubic structure (8a) with high spin multiplicity (10A′) and CS symmetry is considered as the most stable configuration. The second isomer is a fusion of one prism and three square pyramids (8b) with C2V symmetry. The geometry 8c is a combination of two prisms with the same symmetry that the geometry 8b. Its energy is 0.92 eV higher than the geometry 8b. The geometry 8d is formed from the combination of one prism and bicapped square pyramid with C2V symmetry, and the Rh atom is situated at the apex of the square pyramid. The tetra-capped trigonal bipyramid geometry (8e) with CS symmetry has also been predicted as the low energy configuration. The tricapped octahedron configuration (8f) with CS symmetry is obtained in our optimisations, and its energy is higher than the geometry 8e by only 0.15 eV.