Here's a weird way to describe the structure of copper: Cu falls into the tetragonal crystal system with a = 0.256 nm, c = 0.362 nm = a√√2, and atoms located at 000 and 11. Its density is 8.94 g/cc at room 222* temperature. (a) Draw a few adjacent units cells of the structure as described in this "weird" way. You should be able to see that there is a much more convenient way to describe the structure. What is it? (The point I wish to make is that there are many different unit cells that can be used to describe any given crystal, so we usually choose the one that is easiest to visualize.) (b) Calculate the radius of a copper atom using the above information. (c) Calculate the lattice parameter of the "better" unit cell of Cu.

Here's a weird way to describe the structure of copper: Cu falls into the tetragonal crystal system with a = 0.256 nm, c = 0.362 nm = a√√2, and atoms located at 000 and 11. Its density is 8.94 g/cc at room 222* temperature. (a) Draw a few adjacent units cells of the structure as described in this "weird" way. You should be able to see that there is a much more convenient way to describe the structure. What is it? (The point I wish to make is that there are many different unit cells that can be used to describe any given crystal, so we usually choose the one that is easiest to visualize.) (b) Calculate the radius of a copper atom using the above information. (c) Calculate the lattice parameter of the "better" unit cell of Cu.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Help me please
Chromium (Cr) has the Body-Centered Cubic (BCC) crystal structure. The edge length is a 0.288 nm. What is the linear density in atoms/nm along direction [111P Select one: O a. 7.48 b. 3.18 c. 6.37 d. 4.50 O e. 4.01 Europium has the Body-Centered Cubic (BCC) crystal structure shown in the figure below The radius of the Europium atom is r= 0.204 nm. What is the planar density in atoms/nm im plane (200)2 Plare(200)
Question-7 Calculate the volume in cubic nanometers of the titanium crystal structure unit cell. Lattice constants for titanium at 20°C are a = 0.29504 nm and c = 0.46833 nm.
Potassium (K) has the Body-Centered Cubic (BCC) crystal structure. The edge length is a = 0.533 nm. What is the linear density in atoms/nm along direction [011P Select one: a. 4.50 b. 6.37 O C. 3.18 d. 7.48 O e. 1.33 Europium has the Body-Centered Cubic (BCC) crystal structure shown in the figure below. The radius of the Europium atom is r= 0.204 nm. What is the planar density in atoms/nm in plane (20)? Plane (200)
Vanadium (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. 0.00597
Question-6 Gold has a lattice constant of 0.40788 nm. Calculate a value for the atomic radius of a gold atom in nanometers. Compare this value with the standard atomic radius of gold. Question-7 Calculate the volume in cubic nanometers of the titanium crystal structure unit cell. Lattice constants for titanium at 20°C are a 0.29504 nm and c 0.46833 nm.
1- The density of the elemental magnesium crystal structure, which is in the face centered cubic structure, is 1,738 g / cm3. Specify the side lengths of the crystal lattice. 2-Polonium is an element with a simple cubic crystal arrangement. Find the radius of the polonium atoms in this structure with a density of 9.4 g / cm3 and a weight of 209 g / atom. 3- A wire with a diameter of 9.6 mm is pulled with a force of 18,000 N. With this loading, the initial length of the wire that grows 1.5 mm is 400 mm. Find the engineering voltage.
A hypothetical metal has the BCC crystal structure, a density of 7.24 g/cm, and an atomic weight of 48.9 g/mol. Please calculate the atomic radius of this metal. Some useful equations are provided below. a= 2R/2 a = 2R3 !! nA VNA O 0.122 nm O 0.567 nm 0.745 nm 1.23 nm
EXAMPLE SHOT ON POCO X3 Theoretical Density Computation for Copper. Copper has an atomic radius of 0.128 nm, an FCC crystal structure, and an atomic weight of 63.5 g/mol.compute its theoretical density, and compare the answer with its measured density.
Iron has a BCC crystal structure, an atomic radius of 0.124 nm, and an atomic weight of 55.85 g/mol. Compute its theoretical density and compare with its experimental density, which is 7.87 g/cm3. Which one is higher? O Experimental density is higher. O Not enough information to compute the theoretical density. O Theoretical density is higher. O Neither. Both are equal.
Consider two hypothetical metallic crystal structures A and B. A has an fcc and B a bcc lattice structure. Both have the same unit cell volume. The Atomic Packing Factor for A is 0.740 and that for B is 0.680. What is the ratio of the fcc to bcc atomic radii? (This question has only one correct answer) a. 0.82 b. 0.63 c. 0.92 d. 0.44 e. 1.21 Clear my choice
Lead has an FCC crystal lattice and atomic radius of 0.175 nm. Find the volume of the unit cell of lead in m^3. Express answer in exponential notation up to two decimal places using caret ^ to denote the exponents and unit in m^3.