Aluminum (Al) has FCC unit cell geometry and lattice parameter 4.0 Å. a. How many complete...
Aluminum (Al) has FCC unit cell geometry and lattice parameter 4.0 Å.
a. How many complete atoms are contained in one unit cell?
b. What is the atomic radius (Å)?
c. What is the unit cell volume?
d. If the atomic mass of Al is 27 grams per mole (or amu), what is an Al atom’s mass in grams?
e. What is the mass of the unit cell?
f. What is the density of Al in units of atomic mass unit per Å3 ?
g. What is the density of Al in units of grams per cm3 ?
Homework Answers
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Aluminum (Al) has FCC unit cell geometry and lattice parameter
4.0 Å.
a. How many complete...
The atomic radius of FCC aluminum is 0.142 nm. What is the lattice parameter of the...
The atomic radius of FCC aluminum is 0.142 nm. What is the lattice parameter of the unit cell? What is the most densely packed direction and plane in this material? If this was an BCC material, on the cube shown below sketch the most densely packed crystal plane, and state that plane here. Identify the plane shown below for a cubic system and compute the planner density for a BCC material of the plane shown.
The atomic radius of FCC aluminum is 0.142 nm. What is the lattice parameter of the...
The atomic radius of FCC aluminum is 0.142 nm. What is the lattice parameter of the unit cell? What is the most densely packed direction and plane in this material? If this was an BCC material, on the cube shown below sketch the most densely packed crystal plane, and state that plane here. Identify the plane shown below for a cubic system and compute the planner density for a BCC material of the plane shown.
Calculate the theoretical density of silver given that it is FCC, has a lattice parameter of...
Calculate the theoretical density of silver given that it is FCC, has a lattice parameter of 4.0862 Å with an atomic weight of 107.868 g/mole. Compare your value to the density derived experimentally for silver. Why is there a difference? Explain.
Unit Cell Calculations Name _____________________________ Unit Cells: The Simplest Repeating Unit in a Crystal The structure...
![](https://lh4.googleusercontent.com/K_IdXKabFLhtXXOIgQQGWz-LYlYNPa5z9cPt6FQy3eCY_hrY26qZS8XFBDdXJxqT5rgw1lAAnw6EBuTmrr7-OGOL5RkSwGNWJ97ys65Nc5ZjNeeCGSQ-UGT6SRqFEqehUHwDJLPp" aria-describedby="jt3"><img alt="unitcell1.png)
Unit Cell Calculations Name
_____________________________
Unit Cells: The Simplest Repeating Unit in a Crystal
The structure of solids can be described as if they were
three-dimensional analogs of a piece of wallpaper. Wallpaper has a
regular repeating design that extends from one edge to the other.
Crystals have a similar repeating design, but in this case the
design extends in three dimensions from one edge of the solid to
the other. We can unambiguously describe a piece of wallpaper by...
Solid silver adopts the fcc structure. (i) Determine the number of Ag atoms per fundamental unit cell (nuc;) determine the volume of the fundamental unit cell (Vuc in nm3); (ii) determine the radius...
Solid silver adopts the fcc structure. (i) Determine the number of Ag atoms per fundamental unit cell (nuc;) determine the volume of the fundamental unit cell (Vuc in nm3); (ii) determine the radius of a single Ag atom (in nm); (iv) the volume (space) within the fundamental unit cell occupied by these Ag atoms (Vs in nm3); (v) calculate its packing fraction; (vi) calculate the mass of a fundamental unit cell muc in g); and (vii) the density (in g...
2. FCC Structure-Assemble the structure and answer the following: a. What is the length of the...
2. FCC Structure-Assemble the structure and answer the following: a. What is the length of the face diagonal in terms of the lattice constant "a"? b. What is the length of the face diagonal in terms of the atomic radius "r"? c. What is the linear atomic density along the body diagonal? (Number of Atoms/Length) d. What is the linear atomic density along the face diagonal? e. How many atomic volumes are contained in the unit cell? **Remember atoms at...
Compute the concentration (count per volume) of vacancies in gold at 700oC if the lattice parameter...
Compute the concentration (count per volume) of vacancies in gold at 700oC if the lattice parameter of FCC gold is 4.12 Å at 700oC. The activation energy to form a single vacancy is 0.86 eV. Use 8.617x10-5 eV/(atom-K), exactly, as Boltzmann's Constant. Note: You could look up the atomic weight of gold and its density (being sure to account for thermal expansion, since most values are reported for room temperature). But, like a previous question, using the atom count per...
If the edge of a face-centered cubic unit cell is 4.0 Å, what is the radius...
If the edge of a face-centered cubic unit cell is 4.0 Å, what is the radius of the metal atoms packed in the cell? a. 1.0 Å b. 1.4 Å 2.8 Å d. 5.6 Å e. 8.0 Å i jo
Aluminum (atomic mass 26.98 g/mol) crystallizes in a face-centered cubic unit cell. In addition, aluminum has...
Aluminum (atomic mass 26.98 g/mol) crystallizes in a face-centered cubic unit cell. In addition, aluminum has an atomic radius of 143.2 pm. What is the density (g/cm3) of aluminum? O A. 0.6742 g/cm3 B. 2.697 x 10-30 g/cm3 OC.0.3708 g/cm3 OD. 2.697 g/cm3 O E. 1.191 x 10-44 g/cm3
3.7 A sample of iron oxide (wustite) has a composition Fe, 90. Its lattice parameter is...
3.7 A sample of iron oxide (wustite) has a composition Fe, 90. Its lattice parameter is found to be 4.301 Å. (a) Calculate the density of the sample (g/cm²), assuming that the nonstoichi- ometry of the compound is accounted for by vacancies on the Fe lattice. (b) Calculate the density of the sample (g/cm²), assuming that the nonstoichi- ometry of the compound is accounted for by oxygen interstitials. DATA Atomic weights Fe = 55.85 g/mol 0 = 16 g/mol FeO...
The atomic radius of FCC aluminum is 0.142 nm. What is the lattice parameter of the unit cell? What is the most densely packed direction and plane in this material? If this was an BCC material, on the cube shown below sketch the most densely packed crystal plane, and state that plane here. Identify the plane shown below for a cubic system and compute the planner density for a BCC material of the plane shown.
The atomic radius of FCC aluminum is 0.142 nm. What is the lattice parameter of the unit cell? What is the most densely packed direction and plane in this material? If this was an BCC material, on the cube shown below sketch the most densely packed crystal plane, and state that plane here. Identify the plane shown below for a cubic system and compute the planner density for a BCC material of the plane shown.
Solid silver adopts the fcc structure. (i) Determine the number of Ag atoms per fundamental unit cell (nuc;) determine the volume of the fundamental unit cell (Vuc in nm3); (ii) determine the radius of a single Ag atom (in nm); (iv) the volume (space) within the fundamental unit cell occupied by these Ag atoms (Vs in nm3); (v) calculate its packing fraction; (vi) calculate the mass of a fundamental unit cell muc in g); and (vii) the density (in g...
2. FCC Structure-Assemble the structure and answer the following: a. What is the length of the face diagonal in terms of the lattice constant "a"? b. What is the length of the face diagonal in terms of the atomic radius "r"? c. What is the linear atomic density along the body diagonal? (Number of Atoms/Length) d. What is the linear atomic density along the face diagonal? e. How many atomic volumes are contained in the unit cell? **Remember atoms at...
If the edge of a face-centered cubic unit cell is 4.0 Å, what is the radius of the metal atoms packed in the cell? a. 1.0 Å b. 1.4 Å 2.8 Å d. 5.6 Å e. 8.0 Å i jo
Aluminum (atomic mass 26.98 g/mol) crystallizes in a face-centered cubic unit cell. In addition, aluminum has an atomic radius of 143.2 pm. What is the density (g/cm3) of aluminum? O A. 0.6742 g/cm3 B. 2.697 x 10-30 g/cm3 OC.0.3708 g/cm3 OD. 2.697 g/cm3 O E. 1.191 x 10-44 g/cm3
3.7 A sample of iron oxide (wustite) has a composition Fe, 90. Its lattice parameter is found to be 4.301 Å. (a) Calculate the density of the sample (g/cm²), assuming that the nonstoichi- ometry of the compound is accounted for by vacancies on the Fe lattice. (b) Calculate the density of the sample (g/cm²), assuming that the nonstoichi- ometry of the compound is accounted for by oxygen interstitials. DATA Atomic weights Fe = 55.85 g/mol 0 = 16 g/mol FeO...
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