I want 3.93.103.23Thx 5:19 1Donen u a un II3.6 Show that the atomic packing factor for HCP is 0.74.98 · Chapter 3 I The Structure of Crystalline SolidsDensity ComputationsAtomicAtomicRadius3.7 Molybdenum (Mo) has a BCC erystal structure,O an atomic radius of 0.1363 nm, and an atomicweight of 95.94 g/mol. Compute and compare itstheoretical density with the experimental valuefound inside the front cover of the book.Weight(g/mol)Density(g/cm'yAlloy(nm)A43.16.400.122184,412.300,14691.69.600.1373.8 Strontium (Sr) has an FCC erystal structure, ane atomic radius of 0.215 nm, and an atomic weight 3.17 The unit cell for uranium (U) has orthorhombicof 87.62 g/mol. Calculate the theoretical density e symmetry, with a, b, and e lattice parameters offor Srr.3.9 Calculate the radius of a palladium (Pd) atom,O given that Pd has an FCC crystal structure, adensity of 12.0 g/em', and an atomic weight of106.4 g/mol.0.286, 0.587, and 0.495 nm, respectively. If its den-sity, atomic weight, and atomic radius are 19.05giem', 238.03 g/mol, and 0.1385 nm, respectively.compute the atomie packing factor.3.18 Indium (In) has a tetragonal unit eell for which3.10 Calculate the radius of a tantalum (Ta) atom, e the a and e lattice parameters are 0459 and 0.495O given that Ta has a BCC crystal structure. adensity of 16.6 g/em', and an atomic weight of180.9 g/mol.3.11 A hypothetical metal has the simple cubic crystalO structure shown in Figure 3.3. If its atomic weightis 74.5 g/mol and the atomic radius is 0,145 nm.compute its density.3.12 Titanium (Ti) has an HCP erystal structure and a e the ratio of the lattice parameters cla is 1.568. Ifnm, respectively.(a) If the atomic packing factor and atomic radiusare 0.693 and 0.1625 nm, respectively, determinethe number of atoms in each unit celi.(b) The atomic weight of In is 114.82 g/mol; com-pute its theoretical density.3.12 Titanium (Ti) has an HCP erystal structure and a 19 Beryllium (Be) has an HCP unit cell for whichO density of 4.51 g/em".the radius of the Be atom is 0.1143 nm, (a) deter-mine the unit cell volume, and (b) calculate thetheoretical density of Be and compare it with theliterature value.(a) What is the volume of its unit cell in cubicmeters?(b) If the cla ratio is 1.58, compute the values of cand a.3.13 Magnesium (Mg) has an HCP crystal structureand a density of 1.74 g/em'.3.20 Magnesium (Mg) has an HCP crystal structure,O a cla ratio of 1.624, and a density of 1.74 g/em.Compute the atomic radius for Mg.(u) What is the volume of its unit cell in cubic 3.21 Cobalt (Co) has an HCP crystal structure, anatomic radius of 0.1253 nm. and a cla ratio of1.623. Compute the volume of the unit cell for Co.centimeters?(b) If the cla ratio is 1.624, compute the values ofc and a.Polymorphism and Allotropy3.14 Using atomic weight, crystal structure, and 3.22 Iron (Fe) undergoes an allotropic transformationatomic radius data tabulated inside the front e at 912 C: upon heating from a BCC (a phase) to anFCC (y phase). Accompanying this transformationis a change in the atomic radius of Fe-from Ruce =0.12584 nm to Ryrce = 0.12894 nm-and, in addition.a change in density (and volume). Compute the per-.cover of the book, compute the theoretical densi-ties of aluminum (Al), nickel (Ni), magnesium(Mg), and tungsten (W), and then compare thesevalues with the measured densities listed in thissame table. The cla ratio for Mg is 1.624.centage volume change associated with this reaction.Does the volume increase or decrease?3.15 Niobium (Nb) has an atomic radius of 0.1430 nmO and a density of 8.57 g/em'. Determine whether it Crystal Syitemshas an FCC or a BCC crystal structure.3.16 The atomic weight, density, and atomic radius e .O for three hypothetical alloys are listed in the fol-lowing table. For each, determine whether itscrystal structure is FCC, BCC, or simple cubie andthen justify your determination.3.23 The accompanying figure shows a unit cell for a• hypothetical metal.(a) To which erystal system does this unit cellbelong?(b) What would this crystal structure be called?Questions and Problems· 99(e) Calculate the density of the material, given Crystallographic Directionsthat its atomic weight is 141 g/mol.3,31 Draw an orthorhombie unit cell, and within thatcell, a [211] direction.3.32 Sketch a monoclinic unit cell, and within thatcell, a [101] direction.3.33 What are the indices for the directions indicatedby the two vectors in the following sketch?0.45 rm035 m-0.35 nm04 emDirectien 23.24 Sketch a unit cell for the face-centered orthorhom-bic erystal structure.-----O .0.3 nmPoint Coordinates3.25 List the point coordinates for all atoms that areO associated with the FCC126 Lid iha noint cgardinntarthe codium

Question

I want 3.93.103.23Thx 5:19 1Donen u a un II3.6 Show that the atomic packing factor for HCP is 0.74.98 · Chapter 3 I The Structure of Crystalline SolidsDensity ComputationsAtomicAtomicRadius3.7 Molybdenum (Mo) has a BCC erystal structure,O an atomic radius of 0.1363 nm, and an atomicweight of 95.94 g/mol. Compute and compare itstheoretical density with the experimental valuefound inside the front cover of the book.Weight(g/mol)Density(g/cm'yAlloy(nm)A43.16.400.122184,412.300,14691.69.600.1373.8 Strontium (Sr) has an FCC erystal structure, ane atomic radius of 0.215 nm, and an atomic weight 3.17 The unit cell for uranium (U) has orthorhombicof 87.62 g/mol. Calculate the theoretical density e symmetry, with a, b, and e lattice parameters offor Srr.3.9 Calculate the radius of a palladium (Pd) atom,O given that Pd has an FCC crystal structure, adensity of 12.0 g/em', and an atomic weight of106.4 g/mol.0.286, 0.587, and 0.495 nm, respectively. If its den-sity, atomic weight, and atomic radius are 19.05giem', 238.03 g/mol, and 0.1385 nm, respectively.compute the atomie packing factor.3.18 Indium (In) has a tetragonal unit eell for which3.10 Calculate the radius of a tantalum (Ta) atom, e the a and e lattice parameters are 0459 and 0.495O given that Ta has a BCC crystal structure. adensity of 16.6 g/em', and an atomic weight of180.9 g/mol.3.11 A hypothetical metal has the simple cubic crystalO structure shown in Figure 3.3. If its atomic weightis 74.5 g/mol and the atomic radius is 0,145 nm.compute its density.3.12 Titanium (Ti) has an HCP erystal structure and a e the ratio of the lattice parameters cla is 1.568. Ifnm, respectively.(a) If the atomic packing factor and atomic radiusare 0.693 and 0.1625 nm, respectively, determinethe number of atoms in each unit celi.(b) The atomic weight of In is 114.82 g/mol; com-pute its theoretical density.3.12 Titanium (Ti) has an HCP erystal structure and a 19 Beryllium (Be) has an HCP unit cell for whichO density of 4.51 g/em&#34;.the radius of the Be atom is 0.1143 nm, (a) deter-mine the unit cell volume, and (b) calculate thetheoretical density of Be and compare it with theliterature value.(a) What is the volume of its unit cell in cubicmeters?(b) If the cla ratio is 1.58, compute the values of cand a.3.13 Magnesium (Mg) has an HCP crystal structureand a density of 1.74 g/em'.3.20 Magnesium (Mg) has an HCP crystal structure,O a cla ratio of 1.624, and a density of 1.74 g/em.Compute the atomic radius for Mg.(u) What is the volume of its unit cell in cubic 3.21 Cobalt (Co) has an HCP crystal structure, anatomic radius of 0.1253 nm. and a cla ratio of1.623. Compute the volume of the unit cell for Co.centimeters?(b) If the cla ratio is 1.624, compute the values ofc and a.Polymorphism and Allotropy3.14 Using atomic weight, crystal structure, and 3.22 Iron (Fe) undergoes an allotropic transformationatomic radius data tabulated inside the front e at 912 C: upon heating from a BCC (a phase) to anFCC (y phase). Accompanying this transformationis a change in the atomic radius of Fe-from Ruce =0.12584 nm to Ryrce = 0.12894 nm-and, in addition.a change in density (and volume). Compute the per-.cover of the book, compute the theoretical densi-ties of aluminum (Al), nickel (Ni), magnesium(Mg), and tungsten (W), and then compare thesevalues with the measured densities listed in thissame table. The cla ratio for Mg is 1.624.centage volume change associated with this reaction.Does the volume increase or decrease?3.15 Niobium (Nb) has an atomic radius of 0.1430 nmO and a density of 8.57 g/em'. Determine whether it Crystal Syitemshas an FCC or a BCC crystal structure.3.16 The atomic weight, density, and atomic radius e .O for three hypothetical alloys are listed in the fol-lowing table. For each, determine whether itscrystal structure is FCC, BCC, or simple cubie andthen justify your determination.3.23 The accompanying figure shows a unit cell for a• hypothetical metal.(a) To which erystal system does this unit cellbelong?(b) What would this crystal structure be called?Questions and Problems· 99(e) Calculate the density of the material, given Crystallographic Directionsthat its atomic weight is 141 g/mol.3,31 Draw an orthorhombie unit cell, and within thatcell, a [211] direction.3.32 Sketch a monoclinic unit cell, and within thatcell, a [101] direction.3.33 What are the indices for the directions indicatedby the two vectors in the following sketch?0.45 rm035 m-0.35 nm04 emDirectien 23.24 Sketch a unit cell for the face-centered orthorhom-bic erystal structure.-----O .0.3 nmPoint Coordinates3.25 List the point coordinates for all atoms that areO associated with the FCC126 Lid iha noint cgardinntarthe codium

Accepted Answer

NOTE: As per guidelines I can solve one question. So I solve question 3.9 here.
Given:

The density…

39 Calculate the radius of a palladium (Pd) atom, • given that Pu has an FCC crystal structure, a density of 12.0 g/em', and an atomic weight of 106.4 g'mol.