Calculating APF for Cr2O3 (hexagonal symmetry)
Homework Answers
Given data:
Edge length of the unit cell, 
And height of hexagon, 
Actual density of 
Radius of the Cation, 
Radius of the Anion, 
We know that the Density is given by,
Number of formula units in the unit cell.
Sum of atomic wt. of all the cations in the formula unit.
Sum of atomic wt. of all the anions in the formula unit.
Unit cell volume
Avogadro number 
Therefore, the Density is given by,
Therefore, the number of formula units is 
Atomic packing factor for close packed crystal structure is given by,
Therefore, 
APF (atomic packing factor) tetragonal symmetry
The unit cell for tin has tetragonal symmetry, with a and b lattice parameters of 0.583 and 0.318 nm, respectively. If its density, atomic weight, and atomic radiusare 7.30 g/cm3, 118.69 g/mol, and 0.151 nm, respectively, compute the atomic packing factor.
Consider a hypothetical metal that has a density of 7.25 g/cm3, an atomic weight of 72.72...
Consider a hypothetical metal that has a density of 7.25 g/cm3, an atomic weight of 72.72 g/mol, and an atomic radius of 0.140 nm. Compute the atomic packing factor if the unit cell has tetragonal symmetry, values for the a and c lattice parameters are 0.416 and 0.385, respectively
3.- The Perovskite structure (CaTiOs) can be described as an FCC packing of Ca2* and O2 ions on which Ti4+ occupies of the octahedral sites, located in the cube center. Data, ionic radii, r(Ca2+)-0.1...
3.- The Perovskite structure (CaTiOs) can be described as an FCC packing of Ca2* and O2 ions on which Ti4+ occupies of the octahedral sites, located in the cube center. Data, ionic radii, r(Ca2+)-0.106 nm; r(0%)-0.132 nm; r(Ti4+)-0.036 nm; atomic mass, M(Ca)-40.08; M(O)-16.00; M(Ti)-47.90. Calculate: a) The volume of the unit cell b) The packing factor c) The linear density (ions/nm) in the direction [111] d) The planar density (ions/nm2) in the planes (111) and (200) e) The volumetric density...
The crystal lattice and lattice parameters of sodium chloride (NaCl) salt are given below. a =...
The crystal lattice and lattice parameters of sodium chloride (NaCl) salt are given below. a = b = c = 2.8 A, a=B=y=90° Atomic radii (in A): Ina -1.80 and rc -1.00 Ionic radii (in A): Na+ = 1.13 and Ta-- 1.67 (a) Identify the lattice points and unit cell of NaCl. (3 marks) (b) Name the Bravais lattice of NaCl. (1 mark) (c) Determine the density (ing cm) of Naci. (3 marks) (d) Determine the atomic packing factor of...
1. Compute the percent ionic character of the interatomic bonds for each of the following compounds:...
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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...
1) (8 points) Walter White who lives in Simeranya (a utopic city in Anarres) prepares blue...
1) (8 points) Walter White who lives in Simeranya (a utopic city in Anarres) prepares blue crystals, named as myth. Myth has a molecular formula of AxBy, adopts an cubic arrangement of atoms as shown on the left. Find out how many atoms are present in each unit cell. a) Determine the molecular formula of myth. b) Calculate the atomic packing factor (APF) of the given arrangement. The atomic radii of A (red) and B (blue) are equal to 120...
Q. 3. Potassium fluoride adopts the rock salt (NaCl type) structure, with a density of 2.48...
Q. 3. Potassium fluoride adopts the rock salt (NaCl type) structure, with a density of 2.48 g/cm3. Using the data for the Part 4 model you constructed, calculate the expected distance between the center of the potassium ion and the center of an adjacent fluoride ion in pm. Q. 4. The diameter of a Cs+ ion is 334 pm; the diameter of a Br- ion is 392 pm. For CsBr, which crystallizes in the CsCl type structure from Part 5,...
What are the instruments that have been utilized for the review article discussions? ` 1. Introduction...
What are the instruments that have been utilized for the
review article discussions?
`
1. Introduction In recent years, nanoclays have been the object of particular interest for many scientists and researchers in chemistry, physics, engineering and biology due to their excellent properties as well as their sustain- ability [1-3]. For instance, they represent the starting point to the de velopment of smart materials for drug delivery (4-9), food packaging [10-12), environmental remediation and wastewater treatment [13], cultural heritage [14–17and...
3.- The Perovskite structure (CaTiOs) can be described as an FCC packing of Ca2* and O2 ions on which Ti4+ occupies of the octahedral sites, located in the cube center. Data, ionic radii, r(Ca2+)-0.106 nm; r(0%)-0.132 nm; r(Ti4+)-0.036 nm; atomic mass, M(Ca)-40.08; M(O)-16.00; M(Ti)-47.90. Calculate: a) The volume of the unit cell b) The packing factor c) The linear density (ions/nm) in the direction [111] d) The planar density (ions/nm2) in the planes (111) and (200) e) The volumetric density...
The crystal lattice and lattice parameters of sodium chloride (NaCl) salt are given below. a = b = c = 2.8 A, a=B=y=90° Atomic radii (in A): Ina -1.80 and rc -1.00 Ionic radii (in A): Na+ = 1.13 and Ta-- 1.67 (a) Identify the lattice points and unit cell of NaCl. (3 marks) (b) Name the Bravais lattice of NaCl. (1 mark) (c) Determine the density (ing cm) of Naci. (3 marks) (d) Determine the atomic packing factor of...
1. Compute the percent ionic character of the interatomic bonds for each of the following compounds: TiO2, ZnTe, Csci, InSb, and MgCl2. Calculate the number of vacancies per cubic meter in iron at 850°C. The energy for vacancy formation is 1.08 eV/atom. The density and atomic weight for Fe are 7.65 g/cm3 and 55.85 g/mol, respectively 3. Molybdenum forms a substitutional solid solution with tungsten. Compute the weight percent of molybdenum that must be added to tungsten to yield an...
1) (8 points) Walter White who lives in Simeranya (a utopic city in Anarres) prepares blue crystals, named as myth. Myth has a molecular formula of AxBy, adopts an cubic arrangement of atoms as shown on the left. Find out how many atoms are present in each unit cell. a) Determine the molecular formula of myth. b) Calculate the atomic packing factor (APF) of the given arrangement. The atomic radii of A (red) and B (blue) are equal to 120...
What are the instruments that have been utilized for the
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1. Introduction In recent years, nanoclays have been the object of particular interest for many scientists and researchers in chemistry, physics, engineering and biology due to their excellent properties as well as their sustain- ability [1-3]. For instance, they represent the starting point to the de velopment of smart materials for drug delivery (4-9), food packaging [10-12), environmental remediation and wastewater treatment [13], cultural heritage [14–17and...
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