![Problem-1 (Crystallography 12 points (a) A material is a volume of 1 cm, is composed of an fcc lattice with a lattice constant of 2.5nm. The atoms in this material are actually coffee beans. Assume the coffee beans are hard spheres with each bean touching its nearest neighbor. Determine the volume of coffee after coffee beans have been ground (assume 100% packing density of the ground coffee? [2 pts.] (b) Consider a three-dimensional cubic lattice with a lattice constant equal to a. sketch the following planes: (i) (310) and (ii) (-632) 1+Ipt.) (c) Determine the surface density of atoms for BCC structure on the () (111) and (i) (110) planes. 2+2 pts.] (d) The distance between (111) planes in a FCC cubic crystal is 2Á. Determine the lattice parameter and atomic diameter. 2+2 ptsJ](http://img.homeworklib.com/questions/aeb387e0-d279-11ea-b7a3-d30780e024d4.png?x-oss-process=image/resize,w_560)
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Problem-1 (Crystallography 12 points (a) A material is a...
2. Compute the following: a. Find the spacing between the (111) planes in the following lattices...
2. Compute the following: a. Find the spacing between the (111) planes in the following lattices Simple Cubic, Body Centered Cubic, and Face Centered Cubic b. Repeat part a. for the (220) and the (222) planes. c. Does third order X-ray diffraction occur from the (111) planes in the simple cubic lattice (lattice constant 5.196 Angstroms) at an angle of 30 degrees for an X-ray wavelength of 1 Angstrom. d. Does your answer to part c. remain the same if...
Show all needed calculations 1. Tantalum (Ta) is a metal frequently used in electronics (e.g. tantalum...
Show all needed calculations 1. Tantalum (Ta) is a metal frequently used in electronics (e.g. tantalum capacitors). Tantalum is also highly bioinert and is used as an orthopedic implant material. In a-phase Ta has the cubic A2 (BCC) structure (Fig. 1) and a density of 16.7 g/cm3. Calculate the length of the unit cell edge (in nm)? 2. Soduim Chloride (NaCI) has the cubic B1 (FCC) structure (Fig. 2, shown with Na atom in 0, 0,0 position) with a lattice...
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...
Question 4-9 1. What are the four types of bonding observed in solids? c ndeCavalent bonang...
Question 4-9
1. What are the four types of bonding observed in solids? c ndeCavalent bonang 2. Rank the four types of bonding from strongest to weakest. io<>coaletxalic>H-ro İ 3.1 Derive an algebraic expression for the equilibrium spacing, re of an ionic bond that follows the equation E, in terms of A, B, n, and E. 4. 5. What is the force between the two atoms at the equilibrium spacing? atonic force What is the number of atoms per unit...
1. (7 points) Consider a face-centered cubic (fcc) lattice: (a) (2 points) Draw a 3D primitive...
1. (7 points) Consider a face-centered cubic (fcc) lattice: (a) (2 points) Draw a 3D primitive unit cell structure (b) (2 points) Sketch the placement of atoms on a (100) plane. Express distances between atoms on the plane in terms of lattice constant (a). (c) (1 point) How many atoms are there per primitive unit cell? (d) (1 point) How many nearest neighbor atoms are there for each atom? (e) (1 point) Assume a lattice constant of Inm. Determine the...
16) An atom with a valence structure of 1s 2el 2nf 3ed 3pf 4e 3d would...
16) An atom with a valence structure of 1s 2el 2nf 3ed 3pf 4e 3d would behave most like a) Transition metal b) Alkal d Alkaline earth Part C) Multiple Choice (30 points, 3 pts each) d) Inert element e) Actinide n Isotropic 17) What statement below is true when comparing ideal HCP and FCC structures? al Elements with both are very ductile b) Atoms touch along the [100) directions c FCC metals have lower den d) None of the...
EENG 245 Physical electronics HW 1 1) The NaCl crystal is cubic, and can be described...
EENG 245 Physical electronics HW 1 1) The NaCl crystal is cubic, and can be described as follows. Na atoms sit at the corners and faces of a cube, and Cl atoms sit in between two Na atoms. This means that a Clatom is found half-way along each of the cube edges, and there is a Cl in the center of the cube. (We could also have described the lattice by interchanging Na and Cl in the description above.) Another...
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...
Side-centered cubic (scc) cell Top view 1) (5 points) Walter White who lives in Simeranya (a...
Side-centered cubic (scc) cell Top view 1) (5 points) Walter White who lives in Simeranya (a utopic city in Anarres) prepares blue crystals, named as myth, which adopt a side-centered cubic (scc) cell, where atoms occupy the center of sides of a cubic cell. (The myth molecule is assumed to have a perfect spherical shape.) a) Find out how many atoms are present in each unit cell. b) Calculate the atomic packing factor (APF) of scc unit cell. c) Given...
Material and Science Engineering (chemistry and physics II) [5 Points] In the solidification of a pure...
Material and Science Engineering (chemistry and physics II)
[5 Points] In the solidification of a pure metal, what are the two energies involved in the transformation? Write the equation for the total free-energy change involved in the transformation of liquid to produce a strain-free solid nucleus by homogeneous nucleation 1. 2. [5 Points] In the solidification of a metal, what is the difference between an embryo and a nucleus? 3. 5 Points] Distinguish between homogeneous and heterogeneous nucleation for the...
2. Compute the following: a. Find the spacing between the (111) planes in the following lattices Simple Cubic, Body Centered Cubic, and Face Centered Cubic b. Repeat part a. for the (220) and the (222) planes. c. Does third order X-ray diffraction occur from the (111) planes in the simple cubic lattice (lattice constant 5.196 Angstroms) at an angle of 30 degrees for an X-ray wavelength of 1 Angstrom. d. Does your answer to part c. remain the same if...
Show all needed calculations 1. Tantalum (Ta) is a metal frequently used in electronics (e.g. tantalum capacitors). Tantalum is also highly bioinert and is used as an orthopedic implant material. In a-phase Ta has the cubic A2 (BCC) structure (Fig. 1) and a density of 16.7 g/cm3. Calculate the length of the unit cell edge (in nm)? 2. Soduim Chloride (NaCI) has the cubic B1 (FCC) structure (Fig. 2, shown with Na atom in 0, 0,0 position) with a lattice...
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...
Question 4-9
1. What are the four types of bonding observed in solids? c ndeCavalent bonang 2. Rank the four types of bonding from strongest to weakest. io<>coaletxalic>H-ro İ 3.1 Derive an algebraic expression for the equilibrium spacing, re of an ionic bond that follows the equation E, in terms of A, B, n, and E. 4. 5. What is the force between the two atoms at the equilibrium spacing? atonic force What is the number of atoms per unit...
1. (7 points) Consider a face-centered cubic (fcc) lattice: (a) (2 points) Draw a 3D primitive unit cell structure (b) (2 points) Sketch the placement of atoms on a (100) plane. Express distances between atoms on the plane in terms of lattice constant (a). (c) (1 point) How many atoms are there per primitive unit cell? (d) (1 point) How many nearest neighbor atoms are there for each atom? (e) (1 point) Assume a lattice constant of Inm. Determine the...
16) An atom with a valence structure of 1s 2el 2nf 3ed 3pf 4e 3d would behave most like a) Transition metal b) Alkal d Alkaline earth Part C) Multiple Choice (30 points, 3 pts each) d) Inert element e) Actinide n Isotropic 17) What statement below is true when comparing ideal HCP and FCC structures? al Elements with both are very ductile b) Atoms touch along the [100) directions c FCC metals have lower den d) None of the...
EENG 245 Physical electronics HW 1 1) The NaCl crystal is cubic, and can be described as follows. Na atoms sit at the corners and faces of a cube, and Cl atoms sit in between two Na atoms. This means that a Clatom is found half-way along each of the cube edges, and there is a Cl in the center of the cube. (We could also have described the lattice by interchanging Na and Cl in the description above.) Another...
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...
Side-centered cubic (scc) cell Top view 1) (5 points) Walter White who lives in Simeranya (a utopic city in Anarres) prepares blue crystals, named as myth, which adopt a side-centered cubic (scc) cell, where atoms occupy the center of sides of a cubic cell. (The myth molecule is assumed to have a perfect spherical shape.) a) Find out how many atoms are present in each unit cell. b) Calculate the atomic packing factor (APF) of scc unit cell. c) Given...
Material and Science Engineering (chemistry and physics II)
[5 Points] In the solidification of a pure metal, what are the two energies involved in the transformation? Write the equation for the total free-energy change involved in the transformation of liquid to produce a strain-free solid nucleus by homogeneous nucleation 1. 2. [5 Points] In the solidification of a metal, what is the difference between an embryo and a nucleus? 3. 5 Points] Distinguish between homogeneous and heterogeneous nucleation for the...
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