Please show step-by-step solution. Coordination number = 8%3DAtoms per unit cell=Gx 8) + 1 = 2atom at each8.of 8 corners...............1 atomat centerthrough the middle of the cube, to the opposite corner. The edge length in terms of theatomic radius is therefore 1 = 4r/V3 as shown here:A FIGURE 12.6 Body-CenteredCubic Crystal Structure The%3Ddifferent colors used for the atomsin this figure are for clarity only.Body-centered cubicAll atoms within the structure areidentical.c2 = b2 + 1?6? = 1² + 1?b2 = 212%3Dc = 4r(4r)² = 21² + 1?(4r)² = 31²(4r)2%3D%3D124rIn the body-centered cubic lattice, theatoms touch only along the cube diagonal.The edge length is 4r/V3.V3The body-centered unit cell contains two atoms per unit cell because the centeatom is not shared with any other neighboring cells. The coordination number of thbody-centered cubic unit cell is 8, which we can see by examining the atom in the ecenter of the cube, which touches eight atoms at the corners. The packing efficiencythe body-centered unit cell is 68%, significantly higher than for the simple cubic ucell. Each atom in this structure strongly interacts with more atoms than each atomthe simple cubic unit cell.Example 12.3Relating Unit Cell Volume, Edge Length, and Atomic RadiusA body-centered cubic unit cell has a volume of 4.32 x 10-23 cm³. Find the radius of the atom in pm.SORT You are given the volume of a unit cell and asked toGIVEN: V = 4.32 X 10-23 cm³%3Dfind the radius of the atom.FIND: r (in pm)STRATEGIZE Use the given volume to find the edge lengthCONCEPTUAL PLANof the unit cell.VV=Then use the edge length to determine the radius of theatom.4rV3**** 5) An atom has radius of 165 pm and crystallizes in the body-centered cubic unit cell. What isthe volume of the unit cell in cm³? You will need to use examples from your textbook tohelp you. Pg 540-541

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Science

Chemistry

Please show step-by-step solution.

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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