
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Question
Given that the radius of a metal is 211.79 pm, determine the edge length for a body centered cubic composed of this metal.
Expert Solution

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Step 1
Crystal lattice is defined as the three dimensional arrangement if atoms or ions in a crystal. Various types of crystal lattices exist such as simple cubic, body centered, face centered, edge centered etc.
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Step 2
A body centred crystal (bcc) lattice of metal is that which contains one atom at body center and eight atoms at the corners of the cube.
The relation between radius of atom (r) and edge length (l) of the crystal is given as:

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- 1. An ionic compound composed of chromium ions and oxide ions crystallizes into a face-centered cubic arrangement of chromium ions with oxide ions occupying all of the tetrahedral holes within the unit cell. What is the ionic formula for this compound? What are the oxidation states of the chromium and oxide ions? 2. Examine the ionic unit cell structure shown at right. The red spheres represent sulfide ions and the purple spheres represent nickel ions. Which ions define the unit cell? What kinds of "holes" are filled by the counter ions? What is the ionic formula for this compound?arrow_forwardWhat is the coordination number of an aluminum atom in the face-centered cubic structure of aluminum?arrow_forwardIf a metallic element crystallizes in a face-centered cubic unit cell with an edge length of 344.68pm, what is the radius in pm of an atom of this element in that structure? (enter your answer as the magnitude of the radius in pm, do not include the unit in the text of your answer) 121.86 121.9 60.93 1.4925*10^12 60.931 1.492*10^12arrow_forward
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