Problem #2: (4)The densities of the elements K, Ca, Sc, and Ti are 0.86, 1.5, 3.2, and 4.5 g/cm³, respectively. One of theseelements crystallizes in a body-centered cubic structure; the other three crystallize in a face-centered cubicstructure. Which one crystallizes in the body-centered cubic structure? Justify your answer.

To solve this problem, we need to identify which of the elements K, Ca, Sc, and Ti crystallizes in a…

Answered: Problem #2: (4) The densities of the…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Use the References to access important values if needed for this question. Metallic tantalum crystallizes in a body-centered cubic lattice, with one Ta atom per lattice point. If the edge length of the unit cell is found to be 328 pm, what is the metallic radius of Ta in pm? H pm Submit Answer Retry Entire Group No more group attempts remain
Figure below shows the first four peaks of the x-ray diffraction pattern for copper, which has a face centered cubic crystal structure; monochromatic x-radiation having a wavelength of 0.1542 nm was used. Reflection indices are presented in the table below. The whole number of wavelengths equals one. (a) Index (i.e., give h, k, and I indices) for each of these peaks. (b) Determine the interplanar spacing for each of the peaks. (c) For each peak, determine the atomic radius for Cu. 40.0 50.0 60.0 70.0 80.0 90.0 Diffraction angle 20 Reflection Indices for First Six Planes Reflections Present (h + k + ) even Crystal Structure 110, 200, 211, 220, 310, 222 ВСС h, k, and I either all odd or all even 111, 200, 220, 311, 222, 400 FCC 100, 110, 111, 200, 210, 211 Simple cubic All Intensity (relative)
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Gold adopts a face-centered cubic structure with a unit celledge of 4.08 Å (Figure 12.11). How many gold atoms arethere in a sphere that is 20 nm in diameter? Recall that thevolume of a sphere is 4/3πr3
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Which crystalline structure is a common structure of metals? (Choose all that apply) Face centered Body centered Primitive General
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Please answer Both multiple choice questions
2.) A newly designed superconductor material has 3 different types of atoms in its molecular formula and has a crystal structural similar to diamond cubic with an additional atom at the body-center (like BCC). Atom A orients on the 8 vertices of the cubic lattice and at the body center. Atom B orients at the center of each face. Atom C orients at 4 tetrahedral sites residing entirely within the cubic lattice. Each cubic crystal lattice has precisely the number of atoms that matches the molecular stoichiometry: AxByCz. What is the stoichiometry of this material?
1. A cubic solid is made of two elements P and Q. Atoms of P are located at each corner and four (4) at the midpoints of the edges. Meanwhile, the two atoms of Q are in the body- centre. (a) What is the formula of the compound? Show your work. (b) What are the coordination numbers of P and Q? (c) Draw a structure of cubic above.
2) Draw unit cell for face-centered cubic crystal structures (FCC). a) Show number of atoms per unit cell and coordination number, Derive the relationships between unit cell edge length and atomic radius, Calculate atomic packing factor (APF). b) As compared with body centered cubic crystal structure, why is plastic deformation of metals easy for face centered cubic crystal structure?

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