Question B1 a) A hexagonal close-packed layer in two dimensions is shown in figure 2. By identifying a suitable unit cell, calculate the packing fraction of this structure. b) Two possible cubic crystal structures are shown in figure 3. Part (a) shows the fcc struc- ture, in which atoms are touching along a face-diagonal. Part (b) shows the bcc structure, in which atoms are touching along a body diagonal of the cube. Calculate the packing fractions of each of these structures. Which one of them is close- packed?

Question B1 a) A hexagonal close-packed layer in two dimensions is shown in figure 2. By identifying a suitable unit cell, calculate the packing fraction of this structure. b) Two possible cubic crystal structures are shown in figure 3. Part (a) shows the fcc struc- ture, in which atoms are touching along a face-diagonal. Part (b) shows the bcc structure, in which atoms are touching along a body diagonal of the cube. Calculate the packing fractions of each of these structures. Which one of them is close- packed?

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...

See similar textbooks

Related questions

Q: 2. ZrC has a rock salt structure (NaCl) which may be considered as two interpenetrating f.c.c.…

A: Given, The lattice of - FCC.a. To draw the unit cell and determine the no. of atoms of each type.b.…

Q: 1. Molybdenum at 20°C has Body Centered Cubic (BCC) crystal structure with an atomic radius, R of…

Q: The structure of a mineral is shown below. Element A is green, and Element X is blue. a) Of the…

A: We need to identify the type of unit cell and molecular formula of compound.

Q: A: If you are told that a certain metal element has a simple cubic unit cell structure, what…

A: In a simple cubic structure, each atom contributes the equivalent of one-eighth of an atom to the…

Q: QUESTION 1 Determine the Atomic Packing Factor (APF) of a base-centered tetragonal crystal structure…

Q: Which of the following correctly describes the influence of intermolecular forces on the properties…

A: Intermolecular interactions between individual molecules in a chemical entities are important…

Q: Determine the Atomic Packing Factor (APF) of a base-centered tetragonal crystal structure shown…

Q: please help? make the answer clear

A: Density of aluminum = 2698 kg/m3Cell volume = 6.643×10-23 cm3

Q: 4. Compute the atomic packing factor of hafnium with a hcp crystal structure assuming an atomic…

A: To determine the atomic packing factor of hafnium with hexagonal closed-packed (hcp) crystal…

Q: QUESTION 5 Consider two different metals: Metal X and Metal Y. Metal X crystalizes into BCC…

Q: 1) Shown is a below is unit cell. Answer the following questions based on this unit cell. Sr= black…

A: Strontium Titanate (SrTiO3) represents a notable example of a perovskite oxide compound,…

Q: Consider a hypothetical compound in which the anions (0--) make an FCC unit cell. Two types of…

A: The chemical formula for this compound would be A4B2O4. This formula indicates that there are 4 A…

Q: Please don't provide handwriting solution

A: The objective of the question is to identify the metal based on the given properties and the atomic…

Q: Cubic structure) calculate volume, mass, and atomic mass given that an FCC lattice has density of…

Q: Chromium forms crystals (d = 7.20 g/cm³) whose unit cell has an edge length of 2.885 Å (1 Å = 10-1º…

A: Given: Density of Chromium atom is 7.20 g/cm3 Edge length of cubic lattice= 2.885A°

Concept explainers

Crystal Lattices and Unit Cell

Consider a crystal. The regular and repeating pattern of constituent particles is the most distinguishing feature of crystalline solids. A crystal lattice is formed when these particles are replaced with representative points. The three-dimensional arrangement of constituent particles is known as a crystal lattice. Unit cell is that the smallest portion of a space lattice which when repeated in several directions, generate the whole lattice. Unit cell is a building block of a lattice. It is the smallest unit of cell.

Question

Figure 2: A hexagonal close-packed layer of atoms in two dimensions.
(a)
(b)
Figure 3: Conventional unit cells for: (a) the fcc structure; (b) the bcc structure.
Answer ALL questions in Section B
Question B1
SECTION B
a) A hexagonal close-packed layer in two dimensions is shown in figure 2.
By identifying a suitable unit cell, calculate the packing fraction of this structure.
b) Two possible cubic crystal structures are shown in figure 3. Part (a) shows the fcc struc-
ture, in which atoms are touching along a face-diagonal. Part (b) shows the bcc structure,
in which atoms are touching along a body diagonal of the cube.
Calculate the packing fractions of each of these structures. Which one of them is close-
packed?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction.

Step 2: Explanation.

Step 3: Explanation.

Step 4: Explanation.

Step 5: Explanation.

Solution

Step by step

Solved in 6 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions

Please help, thank you.
(c) Calculate the Li-Br distance in the crystal structure in pm. 5. The structure shows anions (dark circles) in a simple cubic array with cations (white circles) in alternating body centers. One unit cell is shown. Complete the following table for one unit cell to determine the ratio of cations to anions. f is the fraction each atom in in the indicated position contributes to the cell. Cation Anion Corners # f # Faces f # Edges f # Body TOTAL ION PER CELL
Metallic gold has a face-centered cubic unit cell as shown in the fugure. How many Au atoms are in each unit cell? (c) Face-centered cubic 2 4
Is it possible for a salt of formula AB₃ to have a face-centered cubic unit cell of anions with cations in all the eight available holes? Explain.
Determine the Atomic Packing Factor (APF) of a base-centered tetragonal crystal structure shown below. In this structure, atoms are touching along the base diagonal. The height of the unit cell is given by c and is equal to 1.71 times a. Express your answer in terms of percentage and in two decimal places only. Do not put the percentage sign.
Question attached
Silver chloride packs in a crystalline lattice (shown). The silver ions are the darker spheres in the unit cell shown. What is the coordination number of the silver ions? A) 2 B) 4 C) 6 D) 8 Ag ions Chloride ions
2. Potassium oxide, K2O has crystal structure analogous to CaF2 except that K+ ions are in all the tetrahedral pockets and O2- is on the fcc lattice points. a) How many K+ ions are in a unit cell? b) How many O2- ions are in a unit cell? c) What is the coordination number of O2-? d) What is the coordination number of K+? e) On which cell dimension do the potassium and oxide ions touch: edge, face diagonal, body diagonal
QUESTION 5 Considering pure metals, which of the following statements is (or are) correct about their cubic unit cells? a) In the FCC (faced center cubic) structure of a pure metal, the edge length of the cubic unit cell (d) and the radius of the metal atom (r) has the following relation: 4 r2 = 2 d2. b) A FCC (face center cubic) unit cell has a greater number of net atoms than a BCC (body center cubic) unit cell has. a) only O b) only Both a) and b) are correct. Neither a) nor b) is correct.
a) A hexagonal close-packed layer in two dimensions is shown in figure 2.By identifying a suitable unit cell, calculate the packing fraction of this structure.
Please answer Both multiple choice questions
The unit cell of strontium titanate SrTiO3 is depicted on the left in the figure below showing the crystal structure as confirmed by X-ray diffraction experiments. The lattice constant is a - 3.9 × 10-¹0 m. A typical X-ray powder diffraction spectrum is displayed on the right. The wave length of the X-ray beam (Cu-Ka radiation) is λ = 1.54 × 10-¹⁰ m. Unit cell of SrTiO3; Sr atoms are shown in blue, Ti in black and the oxygen atoms are in red. Normalized intensity (a.u.) (001) 20 (011) 30 (III) 40 (200) (210) 50 (211) (220) (300) 60 20 (degrees) 70 (310) (311) >(222) (320) 80 90 (17) 100 X ray powder diffraction data for SrTiO3; the plot shows an overlay for two different SrTiO3 samples. [L. da Silva et al, J. Nanomat., doi:10.1155/2012/890397] a) Identify the Bravais lattice of SrTiO 3and specify the basis for the primitive unit cell shown in the figure. b) Explain how the Miller indices (hkl) describe a family of lattice planes. State a set of possible reciprocal lattice vectors. c)…