4. Calculate the fraction of vacant lattice sites for pure copper at 1080°C. The value of the activation energy to create a vacancy in copper is 0.90 eV, its density is 8.94 g/cm³ and its melting point is 1085°C. Note that the fraction of vacant lattice sites is a ratio of two values, duh.

Q: The fraction of lattice points occupied by vacancies in solid magnesium at 660°C is 103. Compute the…

A:

Q: Calculate the number of vacancies per cubic meter for some metal, M, at 806°C. The energy for…

A:

Q: 10. Lithium crystallizes in a bcc structure with an edge length of 3.509 Å. Calculate its density.…

A:

Q: ketch the lattice planes in cubic crystal using Miller indices for (-200), (-1-20) and (302) planes

A:

Q: If the atomic radius of lead, which has an FCC crystal structure, is 0.175 nm, calculate the volume…

A:

Q: a. b. Figure 2 shows another ball-and-stick model of a very small crystal of a- Polonium, but this…

A: Given: To find: Number of bonds broken to move by slip by one unit of b from left to right

Q: What are the families of crystal directions and planes? What are the closest packed crystalline…

A: given; What are the families of crystal directions and planes? What are the closest packed…

Q: If the atomic radius of a metal that has the face centred cubic (FCC) crystal structure is…

A: Given data  Atomic radius = 3.70 × 10-1nm Find the volume of the FCC unit Cell.

Q: Calculate the gravitational constant g, in SI units, for alocation on the surface of the sun.

A:

Q: The free space in a metal may be found by subtracting the volume of the atoms in a unit cell from…

A: There are basically three types of packing systems. These are as follows, Simple cubic system (SCS)…

Q: Burgers vector (using vector notation) of a screw dislocation that can cross-slip between (111) and…

A: To draw and identify the Burger vectors of a screw dislocation between (111)

Q: Consider the ReO3 unit cell shown below, with a = 3.74 Å and ∆ Hsub = 626 kj/mol  (a) What is the…

A: Solution: Given Data: a=3.74 Ao∆Hsub=626 kJ/mol   To Find: (a) What is the Bravais lattice and…

Q: Calculate the number of vacancies per cubic meter for some metal, M, at 749°C. The energy for…

A: No. of vacancies per cubic meter = ?temperature = 749°cenergy formation = 0.84 eV/atomdensity = 8.18…

Q: Determine the Miller Indices of Direction C and D in an HCP crystal.

A:

Q: how to transform fcc bravais lattice to hexagonal axes? The miller indices is (1 1 1). Show…

A:

Q: Calculate the ionic characterisation value for two elements with electronegativity of 0.7 and 3.98.…

A: two elements electronegativity x1=0.7 x2=3.98

Q: Calculate the energy for vacancy formation in silver,

A:

Q: (b) Find planar atomic densities by considering the section of a (110) plane within a unit cell for:…

A: For solution refer below images.

Q: The crystal structure of austenite is?

A: It is required to state the crystal structure of austenite phase.

Q: Calculate the surface density of the lattice atoms that lie on the (100) plane of an FCC crystal???…

A: Find the surface density for FCC Plane(100)

Q: Calculate the number of vacancies per cubic meter for some metal, M, at 850°C. The energy for…

A: We have to find Calculate the number of vacancies per cubic meter

Q: Calculate the atomic radius in cm for the following= BCC metal with a. 0.85634 nm

A:

Q: alculate the number of vacancies per m3 for gold at 900 C. the energy for vacancy formation is 0.86…

A: Given   Temperature, T = 900oC = 1173 K Vacancy formation = 0.86 eV/atom Find   Number of vacancies

Q: Aluminum forms an FCC structure and has an atomic radius of 0.143 nm. Calculate the theoretical…

A: Answer: The theoretical density of aluminum metal in the unit cell is 2.71 g/cm3.

Q: Explain why there is no face-centered tetragonal Bravais lattice.

A: FACE CENTERED CELL In complete unit cells, there are also atoms or ions in the middle of all six…

Q: Platinum is a metal having a FCC crystal structure with a density p= 21.45 kg/m3. Calculate the…

A:

Q: se two metals due to their crystal structures.

A: Differences between Gold( Au) and Chromium( Cr) metals, Based on their Structure.

Q: Determine  the spacing between dislocations in a low angle tilt boundary in iridium ( FCC) when the…

A: Data given-  a = 3.84 A°  Irridum ( FCC structure )  angle of tilts i) 2° ii) 4°

Q: 1. Show that the atomic packing factor for HCP is 0.74. 2. Calculate the radius of Palladium atom…

A: given; (1) atomic packing factor for HCP? (2) radius of palladium(r)=?density(ρ)=12g/cm3atomic…

Q: ubic (b) face-centred cubic (c) close-packed hexagon

A: given: The crystal structure of aluminium is (a) body-centred cubic (b) face-centred cubic (c)…

Q: BCC Iron has a lattice parameter of .2866 nm. Calculate its planar density on (111).

A: lattice parameter, R = 0.2866 nmIn a BCC unit cell, there is one atom at each corner (1/8 of each…

Q: Determine the Miller Index of plane of the given plane in an HCP crystal? (1070) → (10 – 10 ) ►…

A: find the miller index of green plane For Given HCP cystal

Q: 1) Find the theoretical density of lead (P). which has a face-centered cubic lattice, with a lattice…

A:

Q: →Compare (100) and (111) surfaces in FCC. Which one should have a lower surface energy?

A: To compare: The (100) and (111) surfaces. Concept used: (100) surface: The fcc metal is cut parallel…

Q: O A piece of Copper has density 3.2g/cm3 and the atomic weight is 20 gimol. calculat number of atoms…

A: b. The surface-to-volume ratio of nanomaterials is quite high. As a result, atoms and molecules on…

Q: A Lanthanum (atomic mass 138.91 g/mol) sample has a lattice parameter 3.77Å. Assume it contains 514…

A: Write the given data with suitable variables. M=138.91 g/mola=3.77 A°=3.77×10-8 cmT=400 °C

Q: Question 2. HfO2 has the CaF2 crystal structure. Calculate the density of HfO2 in kg/m³ if the ionic…

A:

Q: Calculate the planar densities of Li+1 and Cl-1 ions on the (111) plane for LiCl, which has the NaCl…

A: Given, LiCl has NaCl type structure. So at 4 corners we have Li+ atoms and at remaining 4 corners we…

Q: (a) Why is the carbon concentration in austenite (y-Fe) higher than in ferrite (a-Fe)? (b) Determine…

A: To find: (a) To explain why is the carbon concentration in austenite γ-Fe higher than in ferrite…

Q: Compare the (100) and the (200) FCC crystallographic planes. Are they the same? Compare the (111)…

A: GivenPlanes 1,0,0 (2,0,0)planes (1,1,1) (2,2,2)

Q: Within a different cubic unit cell, sketch the following: [111]. [122], (011), (110), (010).

A:

Q: What is "Tin Disease"? The crystal Structure of Zinc (Zn) is Hexagonal Closed Packed (HCP). Show…

A: Explanation: Tin disease is the process of allotropic transformation of tin from white tin to gray…

Q: Molybdenum, a BCC metal has an atomic radius of 0.136 nm. (a) Calculate the d-spacing for the (211)…

A:

Q: List the 12 slip systems for fcc. which of these will not be active if load is applied in [100]…

A: Slip occurs when some atoms slip past the other atoms on a certain plane(slip plane) in a certain…

The Space Lattice and Unit Cells

Every matter consists of atoms, molecules, and ions. If these atoms, molecules, and ions (micro-particles) are represented in a three-dimensional space-occupying certain specific points in space, then these arrangements are termed as space lattices and the specific points which are being occupied by atoms, molecules and ions are termed as lattice points. The atoms, molecules, and ions at the lattice points are generally grouped in a regular fashion and repeat periodically at the three-dimensional space.