Chapter 3: Structure of Crystalline Solids

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Questions and Answers

Which of the following materials typically exhibit long-range periodic packing of atoms?

  • Liquids and gases
  • All glasses and some polymers
  • Most metals and many ceramics (correct)
  • Noncrystalline solids and amorphous materials

Which of the following is an example of a single crystal material?

  • Window glass
  • Polyethylene plastic
  • Diamond abrasives (correct)
  • Concrete

What is the primary difference in atomic packing between crystalline and amorphous materials?

  • Crystalline materials have shorter bond lengths between neighbors.
  • Amorphous materials have stronger neighbor bond energies.
  • Crystalline materials have higher energy and lower density.
  • Amorphous materials have random packing, while crystalline materials have ordered packing. (correct)

Which of the following statements about neighbor bond lengths and energies in crystalline and amorphous materials is correct?

<p>Crystalline materials have shorter bond lengths and higher bond energies. (C)</p> Signup and view all the answers

Which statement is true about the energy and packing of crystalline materials compared to amorphous materials?

<p>Crystalline materials have lower energy and higher density. (C)</p> Signup and view all the answers

What is the primary advantage of single crystal materials like turbine blades?

<p>Higher strength and durability (C)</p> Signup and view all the answers

What is the primary characteristic of a polycrystalline material?

<p>It contains many individual grains or small crystals (A)</p> Signup and view all the answers

Which of the following statements about the unit cell in a crystal lattice is NOT true?

<p>Opposite faces (or edges) are always parallel (B)</p> Signup and view all the answers

In the hard-sphere model for crystal structures, what does it mean for atoms to "touch" their nearest neighbors?

<p>The atoms are at their minimum possible distance apart (C)</p> Signup and view all the answers

What is the coordination number of an atom in a crystal structure?

<p>The number of nearest (or touching) neighboring atoms (D)</p> Signup and view all the answers

Which of the following is NOT one of the seven crystal systems?

<p>Hexagonal (D)</p> Signup and view all the answers

In the context of crystal structures, what is the purpose of the hard-sphere model?

<p>To provide a simplified representation of atom arrangements in crystals (A)</p> Signup and view all the answers

What is the coordination number for a simple cubic (SC) structure?

<p>6 (B)</p> Signup and view all the answers

What is the atomic packing factor (APF) for a simple cubic structure?

<p>0.52 (D)</p> Signup and view all the answers

What is the number of atoms per unit cell in a simple cubic structure?

<p>1 (C)</p> Signup and view all the answers

In which direction do the atoms touch each other in a body-centered cubic (BCC) structure?

<p>Along the cube diagonals (B)</p> Signup and view all the answers

Which crystal system has a 6-fold axis of rotation?

<p>Hexagonal (Trigonal) (A)</p> Signup and view all the answers

If the radius of an atom in a simple cubic structure is R, what is the edge length a of the unit cell in terms of R?

<p>$a = 2R$ (A)</p> Signup and view all the answers

What is the relationship between the densities of different material classes?

<p>The density of metals is greater than the density of ceramics, which is greater than the density of polymers. (D)</p> Signup and view all the answers

Why do metals typically have higher densities than ceramics and polymers?

<p>Metals have close-packed structures and metallic bonding, leading to higher densities. (C)</p> Signup and view all the answers

What is the main reason ceramics typically have lower densities than metals?

<p>Ceramics have less dense packing and often contain lighter elements. (C)</p> Signup and view all the answers

What is the relationship between the packing density and the density of different material classes?

<p>Materials with higher packing density have higher densities, and vice versa. (D)</p> Signup and view all the answers

Why do polymers typically have the lowest densities among the material classes?

<p>Polymers have low packing density and often contain lighter elements like C, H, and O. (B)</p> Signup and view all the answers

Which of the following statements about the densities of different material classes is NOT supported by the information provided in the text?

<p>The density of a material is determined solely by its atomic composition and packing. (D)</p> Signup and view all the answers

What is the coordination number (CN) for a body-centered cubic (BCC) structure?

<p>8 (D)</p> Signup and view all the answers

What is the atomic packing factor (APF) for a face-centered cubic (FCC) structure?

<p>0.74 (D)</p> Signup and view all the answers

How many atoms are present on average in a unit cell of a body-centered cubic (BCC) structure?

<p>2 (A)</p> Signup and view all the answers

What is the relationship between the atomic radius (R) and the lattice parameter (a) for a body-centered cubic (BCC) structure?

<p>$R = a/\sqrt{3}$ (D)</p> Signup and view all the answers

How many atoms are present on average in a unit cell of a face-centered cubic (FCC) structure?

<p>4 (B)</p> Signup and view all the answers

What is the relationship between the atomic radius (R) and the lattice parameter (a) for a face-centered cubic (FCC) structure?

<p>$R = a/\sqrt{2}$ (D)</p> Signup and view all the answers

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