Homework Answers
Calculate the theoretical density of iron-
ρ = Z*M / a^3*N---(1)
Calculate the number of atoms per unit cell (Z) using given density using eqn 1.
Calculate the vacancy in a unit cell.
Calculate the vacancy per cubic centimeter .
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7) Calculate the theoretical density of iron, and then determine the number of vacancies needed for...
Material science 2. Barium (Ba) has a BCC crystal structure, a measured density of 3.51 g/cm3,...
Material science
2. Barium (Ba) has a BCC crystal structure, a measured density of 3.51 g/cm3, and a lattice parameter of 0.502 nm. If the atomic mass of Ba is 137.33 g/mol calculate (a) the fraction of attice points that contain vacancies, and (b) the total number of vacancies in a cubic meter of Ba.
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...
1. Calculate the number of vacancies per cubic meter in iron at 850°C. The energy for...
1. Calculate the number of vacancies per cubic meter in iron at 850°C. The energy for vacancy formation is 1.08 eV/atom. Furthermore, the density and atomic weight for Fe are 7.65 g/cm3 and 55.85 g/mol, respectively.
Exercise9 Calculate the number of vacancies per cubic meter in iron at 850°C. The energy for...
Exercise9 Calculate the number of vacancies per cubic meter in iron at 850°C. The energy for vacancy formation is 1.08 eV/atom. Furthermore, the density and atomic weight for Fe are 7.65 g/cm and 55.85 g/mol, respectively k 8,62*103 ev/atom-K (Boltzmann's constant)
Atomic densities and atomic volumes Problem 3. In this problem, we will calculate the atomic density...
Atomic densities and atomic volumes Problem 3. In this problem, we will calculate the atomic density ) and atomic volume () of two different pure metallic solids, Iron (Fe) and aluminum (AI). We will compare and contrast two different calculation methods flabeled Method I and Method II below. We will exploit the technique of "DIMENSIONAL ANALYSIS in our calculations. Method I. Calculate p and n based on knowledge of the mass density of the solid (the symbol for mass density...
(a) Differentiate between Face- Centered Cubic (FCC) and Body-Centered Cubic (BCC) crystal structures. Why FCC metals...
(a) Differentiate between Face- Centered Cubic (FCC) and Body-Centered Cubic (BCC) crystal structures. Why FCC metals are more ductile than BCC metals? 5 marks) (ii) show the relationship between the unit cell edge length, a, and the atomic radius, R, for a BCC crystal. Iron has a BCC crystal structure, an atomic radius of 0.124 nm, and atomic weight of 55.85 g/mol. Calculate its theoretical density Given: Avogardo's Number is 6.02 x 105 atoms/mol (5 marks) Figure 1 Determine the...
Calculate (a) LD for FCC Al and (b) for BCC Cr Problem 4 on Linear density...
Calculate (a) LD for FCC Al
and (b) for BCC Cr
Problem 4 on Linear density of atoms (LD) LD along a certain direction vector of a crystal is defined as LDZ= number of atoms centered along the x direction vector length of the x direction vector For example, along 100 direction of a cubic crystal Linear density is defined as LD 100 = 1 number of atoms centered on [100] direction vector length of [100] direction vector Similarly LD...
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.
Could you please explain in depth how you come to the answer on this? I understand...
Could you please explain in
depth how you come to the answer on this?
I understand that the atomic mass, m = 55.85 g/mole and the
radius, r = 1.25 a ---- r = 1.24 x 10 ^-8
But for BCC how do you find the atomic number? I know it is Z =
2. but how do you find it and what does it signify?
Also, for BCC how do you find r? I know it is ((sqrt 3)*9)...
determine the miller-bravais direction indices of the basal plane of the vectors originating at the center...
determine the miller-bravais direction indices of the basal
plane of the vectors originating at the center of the lower basal
plane and exiting at the midpoints between the principal planar
axes.
and Amorphous Structure in Materials CHAPTER 3 Crystal a2 -dy di Figure P3.58 3.60 Determine the Miller- Bravais direction indices of the vectors originating at the 3.61 Determine the Miller-Bravais direction indices of the basal plane of the vectors 3.62 Determine the Miller-Bravais direction indices of the directions indicated...
Material science
2. Barium (Ba) has a BCC crystal structure, a measured density of 3.51 g/cm3, and a lattice parameter of 0.502 nm. If the atomic mass of Ba is 137.33 g/mol calculate (a) the fraction of attice points that contain vacancies, and (b) the total number of vacancies in a cubic meter of Ba.
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...
1. Calculate the number of vacancies per cubic meter in iron at 850°C. The energy for vacancy formation is 1.08 eV/atom. Furthermore, the density and atomic weight for Fe are 7.65 g/cm3 and 55.85 g/mol, respectively.
Exercise9 Calculate the number of vacancies per cubic meter in iron at 850°C. The energy for vacancy formation is 1.08 eV/atom. Furthermore, the density and atomic weight for Fe are 7.65 g/cm and 55.85 g/mol, respectively k 8,62*103 ev/atom-K (Boltzmann's constant)
Atomic densities and atomic volumes Problem 3. In this problem, we will calculate the atomic density ) and atomic volume () of two different pure metallic solids, Iron (Fe) and aluminum (AI). We will compare and contrast two different calculation methods flabeled Method I and Method II below. We will exploit the technique of "DIMENSIONAL ANALYSIS in our calculations. Method I. Calculate p and n based on knowledge of the mass density of the solid (the symbol for mass density...
(a) Differentiate between Face- Centered Cubic (FCC) and Body-Centered Cubic (BCC) crystal structures. Why FCC metals are more ductile than BCC metals? 5 marks) (ii) show the relationship between the unit cell edge length, a, and the atomic radius, R, for a BCC crystal. Iron has a BCC crystal structure, an atomic radius of 0.124 nm, and atomic weight of 55.85 g/mol. Calculate its theoretical density Given: Avogardo's Number is 6.02 x 105 atoms/mol (5 marks) Figure 1 Determine the...
Calculate (a) LD for FCC Al
and (b) for BCC Cr
Problem 4 on Linear density of atoms (LD) LD along a certain direction vector of a crystal is defined as LDZ= number of atoms centered along the x direction vector length of the x direction vector For example, along 100 direction of a cubic crystal Linear density is defined as LD 100 = 1 number of atoms centered on [100] direction vector length of [100] direction vector Similarly LD...
Could you please explain in
depth how you come to the answer on this?
I understand that the atomic mass, m = 55.85 g/mole and the
radius, r = 1.25 a ---- r = 1.24 x 10 ^-8
But for BCC how do you find the atomic number? I know it is Z =
2. but how do you find it and what does it signify?
Also, for BCC how do you find r? I know it is ((sqrt 3)*9)...
determine the miller-bravais direction indices of the basal
plane of the vectors originating at the center of the lower basal
plane and exiting at the midpoints between the principal planar
axes.
and Amorphous Structure in Materials CHAPTER 3 Crystal a2 -dy di Figure P3.58 3.60 Determine the Miller- Bravais direction indices of the vectors originating at the 3.61 Determine the Miller-Bravais direction indices of the basal plane of the vectors 3.62 Determine the Miller-Bravais direction indices of the directions indicated...
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