Determine the repeat distance, linear density, and packing fraction for FCC nickel, which has a lattice parameter of 0.35167 nm, in the[100],[110] , and [111] directions. Which of these direction is close packed?

Q: Na transforms from bcc to hcp when temperature is 23K. Assuming the density remains fixed and the…

A: Given, The lattice spacing in BCC is, aBCC=4.23 A0

Q: atomic packing factor

A: answer-0.82   Where APF=atomic packing factor

Q: Molybdenum has an atomic radius of 0.145nm. The volume of its cubic unit cell is 0.0375 nm3 . What…

A: The data given is,  The volume of the cubic unit cell, V = 0.0375 nm3 The atomic radius of the…

Q: What are all the planes in {101} family of an orthorhombic lattice?

A: Solution:

Q: α-Co has an hcp structure with lattice spacings of a= 2.51 A0 and c = 4.07 A0, β Co is fcc, with a…

A:

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: 6- The Atomic Packing factors Of (APF) Hexagonal Close packed (HCP) is * 6. O 0.74 0.68

A: HCP or hexagonal closed packing is a type of arrangement in crystal lattices.

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

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Q: The density of BCC iron is 7.882g/cm3 and the lattice parameter is 0.2866nm when hydrogen atoms are…

A:

Q: a) Determine the miller indices for the directions in the cubic unit cell? B D 12

A:

Q: a) Differentiate between the following crystal structures: 1) Simple cubic and simple orthorhombic…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Atomic Packing Factor and explain its significance. If metal A has a higher APF than metal B, how do…

A:

Q: In the' simple cubic crystal lattice'structure, specify the 'Atomic fill factor' and the 'Planar…

A: Simple cubic crystal eight atoms at the eight cornors of the cubeLattice parameter or side length of…

Q: Sodium chloride (NaCl) is a ceramic that has the following crystal structure. Given: R(Na*)= 0.098…

A: NaCl has  a FCC crystal unit cell,

Q: Determine the miller indices for the directions in the cubic unit cell? D B A

A:

Q: Draw, inside cubic unit cells, planes that have the following Miller indices. (a) (1 īT) (b) (12ī)…

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Q: Iodine has an orthorhombic unit cell for which the a, b, and c lattice parameters are 0.479, 0.725,…

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Q: Beryllium with a crystalline structure HCP lattice constant c / a = 1.568 and the radius of the atom…

A: Unit cell: The unit cell is the smallest part of the lattice which repeats multiple times to form a…

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

A:

Q: Question 4: What are the Miller indices for the plane shown in the following cubic unit cell? 3 y…

A: To Find: Miller Indices = ?

Q: as az Plane C = (h k i l)

A: Given HCP crystal  We have to find the Miller Indices of Plane C

Q: metal is found to have BCC structure, a lattice constant of 3.31 Å, and a density of 16.6 g/cm3 .…

A: Density=Z×Atomic weight of metalNA×Volume of unit cell For BCC Z=2n NA=Avagadros Number Volume =a3…

Q: 1 Lithium at 20°C is BCC and has a lattice constant of 0.35092 nm. Calculate a value for the atomic…

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Q: su uct Question-5 How many atoms per unit cell are there in the HCP crystal structure (give…

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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: Define the atomic packing factor? Is it equal to all types of cell units?

A: The atomic packing factors are determined by assuming the atoms as rigid spheres. The atomic packing…

Q: What is the atomic packing factor or packing factor of a crystal structure with one complete atom of…

A:

Q: 1) The density of a metal, which has the BCC structure and one atom per lattice point, is 0.855…

A: given data: density of metal in bcc structure=0.855g/cm3 atomic weight =39.09g/mol

Q: (b) Copper crystallises as FCC (face centred cubic). Given that the atomic radius and mass of a…

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Q: Problem 4. Calculate a value for the density of FCC platinum in grams per cubic centimeter from its…

A: solved

Q: Q 7(a): Derive planar density expressions for FCC (100) and (111) planes in terms of the atomic…

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Q: Sketch the Face Centered Cubic (FCC) unit cell. Compare the calculation of Effective Number of atoms…

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Q: As the coordination number increases in any of the cubic structures, the APF also increases. :Select…

A: 1. Yes we can say that as the coordination number increases, atomic packing fraction of the cubic…

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

A:

Q: Determine the planar density and packing fraction for BCC lithium in the (100),(110), and (111)…

A: Planar Density: Planar density can be defines as the number of atoms whose centers are intersected…

Q: 17- In a given FCC crystal unit cell with a lattice constant "a", calculate the planer density of…

A:

Q: The crystalline density of polypropyleneis 0.946 g>cm3, and its amorphous densityis 0.855…

A: Given data as per questionDensity of polypropylene = 0.946 g/cm3amorphous density = 0.855 g/cm3

Q: Consider a unit cell with lattice dimensions a, b, and c in the x-, y and z directions. Which of the…

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Q: An atom crystallizes in FCC crystal lattice and has a density of 10 g/ cm 3 with unit cell edge…

A: Given,           Density (ρ) = 10 g/cm3          Edge length (a) = 100pm = 100×10-10 cm = 10-8 cm…

Q: (c) The unit cell for Al;03 has hexagonal symmetry with lattice parameters a - 0.4759 nm and c 1.29…

A: Solution:

Q: 12.3 Show that the minimum cation-to-anion radius ratio for a coordination number of 6 is 0.414.…

A: Consider the diagram as shown below with the anion radius R and cation radius r.

Q: Q26

A:

Q: Rough sketch of crystal planes

A: Draw the intercept of the plane as shown below.

Q: For some reason 0.68 is not accepted as the answer.

A: Atomic radii are -  The volume of the sphere is –

Q: What is the coordination number for atoms in the HCP structure? How does this compare to the…

A: (1) In the entire crystal, a unit cell is the smallest representation. All crystal lattices are made…

Q: Consider the planes with Miller indices (100), (001) and (111). The lattice is FCC and the indices…

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Q: Platinum has a lattice constant of 0.39239 nm and its atomic mass is 195.09 g/mol. Calculate a value…

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Q: a) Calculate the lattice parameter of this unit cell; Bereken die roosterafmeting van die eenheidsel

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Q: If the atomic radius for Pb- 0.175nm and the crystal structure is FCC, calculate the atoms numbers…

A: Calculated number of Atom in unit cell. And relation between atomic radius and lattice constant and…

Q: Determine the miller indices for the plane given.

A:

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.