Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 3.15, Problem 50AAP
(a)
To determine
The lattice constant of the BCC element in
(b)
To determine
The atomic radius of the BCC element.
(c)
To determine
Identify the BCC element.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
What is the coordination number for atoms in the HCP structure?
How does this compare to the coordination number for FCC?
How would you expect HCP and FCC to compare in terms of APF? Which would be greater? (or would they be the same?)
Solve the following Problem *
Iodine has an orthorhombic unit cell for
which the a, b, and c lattice parameters are
0.479, 0.725, and 0.978 nm, respectively.
(a) If the atomic packing factor and atomic
radius are 0.547 and 0.177 nm, respectively, de-
termine the number of atoms in each unit cell.
(b) The atomic weight of iodine is 126.91
g/mol; compute its theoretical density.
Sodium chloride (NaCl) has the rock salt crystal structure and a density of 2.17 g/cm³. The atomic weights of sodium and chlorine are
22.99 g/mol and 35.45 g/mol, respectively.
(a) Determine the unit cell edge length.
nm
(b) Determine the unit cell edge length from the radii in the table below assuming that the Nat and Cl- ions just touch each other along
the edges.
nm
Cation
Mg2+
Fe2+
Na+
Ionic Radius (nm)
0.072
0.077
0.102
Anion Ionic Radius (nm)
CI-
0²-
0.181
0.140
Chapter 3 Solutions
Foundations of Materials Science and Engineering
Ch. 3.15 - Prob. 1KCPCh. 3.15 - Prob. 2KCPCh. 3.15 - Prob. 3KCPCh. 3.15 - Prob. 4KCPCh. 3.15 - Prob. 5KCPCh. 3.15 - Prob. 6KCPCh. 3.15 - Prob. 7KCPCh. 3.15 - Prob. 8KCPCh. 3.15 - Prob. 9KCPCh. 3.15 - Prob. 10KCP
Ch. 3.15 - Prob. 11KCPCh. 3.15 - Prob. 12KCPCh. 3.15 - Prob. 13KCPCh. 3.15 - Prob. 14KCPCh. 3.15 - Prob. 15KCPCh. 3.15 - Prob. 16KCPCh. 3.15 - Prob. 17KCPCh. 3.15 - Prob. 18KCPCh. 3.15 - Prob. 19KCPCh. 3.15 - Prob. 20KCPCh. 3.15 - Prob. 21KCPCh. 3.15 - Prob. 22KCPCh. 3.15 - Prob. 23KCPCh. 3.15 - Prob. 24AAPCh. 3.15 - Prob. 25AAPCh. 3.15 - Prob. 26AAPCh. 3.15 - Prob. 27AAPCh. 3.15 - Prob. 28AAPCh. 3.15 - Prob. 29AAPCh. 3.15 - Prob. 30AAPCh. 3.15 - Prob. 31AAPCh. 3.15 - Prob. 33AAPCh. 3.15 - A direction vector passes through a unit cube from...Ch. 3.15 - Prob. 36AAPCh. 3.15 - Prob. 37AAPCh. 3.15 - Prob. 38AAPCh. 3.15 - Prob. 41AAPCh. 3.15 - Prob. 42AAPCh. 3.15 - Prob. 43AAPCh. 3.15 - Prob. 44AAPCh. 3.15 - Prob. 45AAPCh. 3.15 - Prob. 46AAPCh. 3.15 - Prob. 47AAPCh. 3.15 - Rodium is FCC and has a lattice constant a of...Ch. 3.15 - Prob. 49AAPCh. 3.15 - Prob. 50AAPCh. 3.15 - Prob. 51AAPCh. 3.15 - Prob. 52AAPCh. 3.15 - Prob. 53AAPCh. 3.15 - Prob. 54AAPCh. 3.15 - Prob. 55AAPCh. 3.15 - Determine the Miller-Bravais direction indices of...Ch. 3.15 - Determine the Miller-Bravais direction indices of...Ch. 3.15 - Prob. 58AAPCh. 3.15 - Prob. 59AAPCh. 3.15 - Prob. 60AAPCh. 3.15 - Prob. 61AAPCh. 3.15 - Prob. 62AAPCh. 3.15 - Prob. 63AAPCh. 3.15 - Prob. 64AAPCh. 3.15 - Prob. 65AAPCh. 3.15 - Prob. 66AAPCh. 3.15 - Prob. 67AAPCh. 3.15 - Prob. 68AAPCh. 3.15 - Prob. 69AAPCh. 3.15 - Prob. 70AAPCh. 3.15 - Prob. 71AAPCh. 3.15 - Prob. 72AAPCh. 3.15 - Prob. 73AAPCh. 3.15 - Prob. 74SEPCh. 3.15 - Prob. 75SEPCh. 3.15 - Prob. 76SEPCh. 3.15 - Assuming that the volume of an HCP metal cell...Ch. 3.15 - Prob. 79SEPCh. 3.15 - Prob. 80SEPCh. 3.15 - Prob. 81SEPCh. 3.15 - Prob. 82SEPCh. 3.15 - Prob. 83SEPCh. 3.15 - Prob. 84SEPCh. 3.15 - Prob. 85SEPCh. 3.15 - Prob. 86SEPCh. 3.15 - Prob. 87SEPCh. 3.15 - Prob. 88SEPCh. 3.15 - Prob. 89SEPCh. 3.15 - Prob. 90SEPCh. 3.15 - Prob. 91SEPCh. 3.15 - Prob. 92SEPCh. 3.15 - Prob. 93SEPCh. 3.15 - Prob. 94SEPCh. 3.15 - Prob. 95SEPCh. 3.15 - Prob. 96SEP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The density of BCC iron is 7.882g/cm3 and the lattice parameter is 0.2866nm when hydrogen atoms are introduced at interstitial positions. Calculate(a) the atomic fraction of hydrogen atoms; and(b) number of unit cells on average that contain hydrogen atoms.arrow_forwardConsider the ReO3 unit cell shown below, with a = 3.74 Å and ∆ Hsub = 626 kj/mol (a) What is the Bravais lattice and smallest atomic basis that describes ReO3? Write the coordinates of each atom in the basis. (b) What is the coordination and bonding geometry for the Re and O atom?arrow_forwardA metal is found to have BCC structure, a lattice constant of 3.31 Å, and a density of 16.6 g/cm3 . Determine the atomic weight of this element.arrow_forward
- (b) Find planar atomic densities by considering the section of a (110) plane within a unit cell for: [Tentukan satah ketumpatan atom dengan mempertimbangkan bahagian satah (110) dalam satu sel unit untuk:) Vanadium that has BCC crystal structure and atomic radius of 0.136 nm, as shown in Figure 1 (a). [Vanadium yang mempunyai struktur kristal BCC dan jejari atom 0.136 nm seperti ditunjukkan dalam Rajah 1 (a). ] (i) (ii) Copper that has FCC crystal structure and atomic radius of 0.145 nm, as shown in Figure 1 (b). [Kuprum yang mempunyai struktur kristal FCC dan jejari atom 0.145 nm seperti ditunjukkan dalam Rajah 1 (b).1 (110) Plane (110) Plane within an within an FCC unit cell BCC unit cell (a) (b) Figure 1 |Rajah 1|arrow_forwardVanadium (V) has a BCC crystal structure. The atomic radius is R = 0.132 nm and the atomic mass is M = 50.94 g/mole. What is the density of Vanadium in g/mm ? Given: Avogadro's Number NA = 0.6023 x 1024 (atoms/mole) Select one: O a, 0.021 O b. 0.011 Oc.1.5 d. 0.0087 e. 0.00597 Potassium (K) has the Body-Centered Cubic (BC) crystal structune. The edge length is a = 0.533 nm. What is the linear density in atoms/nm along direction (01112 Select one: O ENG O O 0 00arrow_forwardDraw the crystal structure and drive the atomic packing factor (APF) for (Fe) *arrow_forward
- The spacing of adjacent atoms in a NaCl crystal is 0.282 nm, and the masses of the atoms are 3.82*10-26 kg (Na) and 5.89*10-26 kg (CI). Use this information to calculate the density of NaCl. p= kg/m³arrow_forwardSilver Ag has the fcc crystal structure as shown in the figure below. Determine its atomic packing factor APF? Given: The radius of Germanium: r(Ag)= 0.144 nm.  Select one: a. 0.14 b. 0.34 c. 0.68 d. 0.12 e. 0.4 f. 0.51 g. 0.74 h. 0.21arrow_forwardA particular element with an atomic mass of 32.5g/mole has an FCC structure and has a density of 2200kg m-3. Estimate the atomic radius of the element from that data. Show all working and include units in your results.arrow_forward
- When examining the atomic layers used to construct the models (i.e., select the HCP and FCC bodies to be visible at the same time), which appears to be packed more densely? Comparison of FCC and HCP Is the HCP model stacked the layers in an A-B-A-B-... or an A-B-C-A-B-C-... stacking sequence? (In other words, were atoms in the first and third layers aligned or not?) When you examine the tilted FCC model, is the added third layer of close-packed spheres aligned with those in the first layer, or with the voids of the first layer? In other words, is FCC an A-B-A-B-... or an A-B-C-A-B-C-... stacking sequence? When looking at large numbers of atoms (i.e., many unit cells stacked together), and considering that atoms don't care about orientation with respect to "horizontal" and "vertical," explain the similarities and the differences between the FCC and HCP structure.arrow_forwardShow that Ni and Cu are totally soluble in one another using Hume-Rothery rules. Atomic radii, electronegativities and crystal structures of Ni and Cu are given below. Ni Cu Crystal Structure FCC FCC Electronegativities 1.9 1.8 r (nm) 0.1246 0.1278arrow_forwardVanadium (V) has a BCC crystal structure. The atomic radius is R = 0.132 nm and the atomic mass is M = 50.94 g/mole. What is the density of Vanadium in g/mm3? Given: Avogadro’s Number NA = 0.6023 × 1024 (atoms/mole) Select one: a. 1.5 b. 0.021 c. 0.011 d. 0.0087 e. 0.00597arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Understanding Motor ControlsMechanical EngineeringISBN:9781337798686Author:Stephen L. HermanPublisher:Delmar Cengage Learning
Understanding Motor Controls
Mechanical Engineering
ISBN:9781337798686
Author:Stephen L. Herman
Publisher:Delmar Cengage Learning