A solid consists of A-atoms and-B atoms, and its unit cell structure is shown below. The position of A-atoms (orange color) and the position of B-atoms (blue color) in the cubic unit cell are indicated in the picture. Based on the cubic unit cell given here, which of the following statement is correct? A= edge B=comer, center a. In this ionic solid, A atoms form BCC (body center cubic unit cell) structure. b. In this ionic solid, B atoms form BCC (body center cubic unit cell) structure. O. In this ionic solid, A atoms form FCC (face center cubic unit cell) structure. d. In this ionic solid, B atoms form FCC (face center cubic unit cell) structure. O e. In this ionic solid, B atoms form PC (primitive cubic unit cell) structure.

A solid consists of A-atoms and-B atoms, and its unit cell structure is shown below. The position of A-atoms (orange color) and the position of B-atoms (blue color) in the cubic unit cell are indicated in the picture. Based on the cubic unit cell given here, which of the following statement is correct? A= edge B=comer, center a. In this ionic solid, A atoms form BCC (body center cubic unit cell) structure. b. In this ionic solid, B atoms form BCC (body center cubic unit cell) structure. O. In this ionic solid, A atoms form FCC (face center cubic unit cell) structure. d. In this ionic solid, B atoms form FCC (face center cubic unit cell) structure. O e. In this ionic solid, B atoms form PC (primitive cubic unit cell) structure.

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter9: Liquids, Solids, And Materials

Section9.6: Crystalline Solids

Problem 9.12E: Crystalline polonium has a primitive cubic unit cell, lithium has a body-centered cubic unit cell,...

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The CsCl structure is a simple cubic array of chloride ions with a cesium ion at the center of each cubic array (see Exercise 69). Given that the density of cesium chloride is 3.97 g/cm3, and assuming that the chloride and cesium ions touch along the body diagonal of the cubic unit cell, calculate the distance between the centers of adjacent Cs+ and Cl ions in the solid. Compare this value with the expected distance based on the sizes of the ions. The ionic radius of Cs+ is 169 pm, and the ionic radius of Cl is 181 pm.
Calculate the percent of volume that is actually occupied by spheres in a body-centered cubic lattice of identical spheres You can do this by first relating the radius of a sphere, r, to the length of an edge of a unit cell, l. (Note that the spheres do not touch along an edge but do touch along a diagonal passing through the body-centered sphere.) Then calculate the volume of a unit cell in terms of r. The volume occupied by spheres equals the number of spheres per unit cell times the volume of a sphere (4r3/3).
Tungsten crystallizes in the unit cell shown here. Unit cell for tungsten (a) What type of unit cell is this? (b) How many tungsten atoms occur per unit cell? (c) If the edge of the unit cell is 316.5 pm, what is the radius of a tungsten atom? (Hint: The W atoms touch each other along the diagonal line from one comer of the unit cell to the opposite comer of the unit cell.)
A portion of the crystalline lattice for potassium is illustrated below. (a) In what type of unit cell are the K atoms arranged? A portion of the solid-state structure of potassium. (b) If one edge of the potassium unit cell is 533 pm, what is the density of potassium?
Calculate the percent of volume that is actually occupied by spheres in a face-centered cubic lattice of identical spheres. You can do this by first relating the radius of a sphere, r, to the length of an edge of a unit cell, l. (Note that the spheres do not touch along an edge but do touch along the diagonal of a face.) Then calculate the volume of a unit cell in terms of r. The volume occupied by spheres equals the number of spheres per unit cell times the volume of a sphere (4r3/3).
Spinel is a mineral that contains 37.9% aluminum, 17.1% magnesium, and 45.0% oxygen, by mass, and has a density of 3.57 g/cm3.The edge of the cubic unit cell measures 809 pm. How many of each type of ion are present in the unit cell?
The unit cell of silicon carbide, SiC, is illustrated below. (a) In what type of unit cell are the (dark gray) C atoms arranged? (b) If one edge of the silicon carbide unit cell is 436.0 pm, what is the calculated density of this compound? A portion of the solid-state structure of silicon carbide.
What is a lattice? What is a unit cell? Describe a simple cubic unit cell. How many net atoms are contained in a simple cubic unit cell? How is the radius of the atom related to the cube edge length for a simple cubic unit cell? Answer the same questions for the body-centered cubic unit cell and for the face-centered unit cell.
Shown below is the cubic unit cell of an ionic compound. Answer the questions by referring to this structure. Be careful to note that some atoms are hidden by those in front. a One of the spheres (red or green) represents a monatomic, metallic ion. The other color sphere represents a monatomic, nonmetal ion. Which spheres probably represent the metal ion? Explain. b How many red spheres are there in the unit cell? How many green ones? c From the information you have, deduce the general formula of the compound, using M for the metallic element and X for the nonmetallic element. What are the formulas of the ions? d Give an example of a compound that might have this structure. Explain why you think this compound might have this structure. Which ion of this compound would be represented by the red spheres?
Rutile, TiO2, crystallizes in a structure characteristic of many other ionic compounds How many formula units of TiO2 are in the unit cell illustrated here? (The oxide ions marked by an x are wholly within the cell; the others are in the cell faces.) Unit cell for ruffle
Calcium oxide consists of a face-centered cubic array of O2 ions, with Ca2+ ions at the center of the unit cell and along the centers of all 12 edges. Calculate the number of each ion in the unit cell.

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