2- Sketch the following planes and directions within a cubic unit cell: a. [101] b. (011)

Q: Metal borides MBx exist for many transition metals.  a) What is the minimum radius for the host…

A: a) The radius of an atom in the octahedral void is related to the radius of the atoms forming the…

Q: 2. A hypothetical alloy has a face-centered cubic unit cell. Its density is 10,470 kg/m3, and its…

A:

Q: A hypothetical alloy has a face-centered cubic unit cell. Its density is 10,470kg/m³, and its atomic…

A: In this question, we have to find out the correct answer of given problem by the help of the…

Q: (b) Tungsten has a BCC structure with a lattice constant of 0.317 nm. Evaluate and sketch the planar…

A: Each crystal structure is made up of small units, these units repeat itself to form the complete…

Q: Polonium is the only element known to crystallize in the simple cubic lattice. (a) What is the…

A: Bragg’s equation relating the wavelength and inter planar distance in a crystal is given below,…

Q: 15.10 How many (a) nearest neighbours, (b) next-nearest neighbours are there in a body-centred cubic…

A:

Q: Show that the reciprocal lattice of the FCC is the BCC lattice. The reciprocal ā, xã, 42 ×az b, =…

A:

Q: 2.3 The diagram below shows a cubic structure. Redraw the structure and identify point defects on…

A: The point defects in the given structure is,

Q: Q4: In the calcium fluorite. CaF2 structure, atoms occupy the position of % % %, which is not filled…

A:

Q: When cadmium oxide reacts to form cadmium selenide, a change in unit cell occurs, as depicted below:

A: solid state  in Chemistry is the study of the structure, properties and the synthesis of solid…

Q: A particular form of cinnabar (HgS) adopts the zinc blendestructure. The length of the unit cell…

A:

Q: Determine the miller indices for the directions in the cubic unit cell? D A, Figure.1

A: For A, Two points : (0,0,1) and (1,0,0) (0,0,1) - (1,0,0) = (-1,0,1) (100) Hence, the miller indices…

Q: Two patterns of packing two different circles of the samesize are shown here. For each structure (a)…

A:

Q: The unit cell of nickel arsenide is shown here. (a) What typeof lattice does this crystal possess?…

A: (a)  Nickel arsenide have hexagonal close packed unit cell (hcp).

Q: 20. A unit cell has the dimensions a = 4 A, b= 6 A, c = 8 A, x = ß = 90°, y = 120°. Determine: a)…

A:

Q: The cell parameters and lattice angles for the tetragonal a = 3.785 Å a = 90* %3D b = 3.785 Å B =…

A: Solution -

Q: 3.47 Determine the Miller indices for the planes shown in the following unit cell: +z 1 2 В A >+y 2…

A:

Q: 3.36 (a) What are the direction indices for a vector ● that passes from point 11 to point 01; in a…

A:

Q: For the structure of ZnS as shown: Describe the packing of S2- according to the closest packing of…

A: As per the given structure of ZnS, the packing of S2- is FCC (face-centered cubic).  This form of…

Q: 3.6 Show that the atomic packing factor for HCP is 0.74.

A:

Q: Two patterns of packing two different circles of the samesize are shown here. For each structure (a)…

A: The two-dimensional unit cells can be drawn as shown below:

Q: 1- Determine the Miller indices for the directions in the cubic unit cell shown in the following…

A: Miller indices are the reciprocal of the intercepts at the axis.

Q: A certain solid metallic element has a density 7.87 g/cm and a molar mass of 55.85 g/mol. It…

A: Given: The density of the metallic element = 7.87 g/cm3 The molar mass of the metal = 55.85 g/mol…

Q: 2. A hypothetical alloy has a tace-centered cubic unit cell. Its density is 10,470 kg/m³, and its…

A: Given Data: Density of hypothetical alloy = 10,470 kg/m3 Atomic weight = 106.8 g/mole The atomic…

Q: 7. Zirconium has an HCP crystal structure and a density of 6.51 g/cm. (a) What is the volume of its…

A:

Q: 5. Diamond and silicon have the same type of lattice structure, an fcc with a basis, but different…

A: “Since there are multiple questions and it is not mentioned that which one has to be solved so I am…

Q: Has a compound orthorhombic unit cell (a=588, B=820, and C=796 pm). Find the density more precisely…

A: For orthorhombic unit cell the number z = 4 Density = z*M/a*b*c

Q: Please determine the number of cations and anions, and the stoichiometry of the ionic solid in the…

A: NaCl or rock salt is an ionic compound that consists of Na+ and Cl-.  It occurs as a white crystal.…

Q: A powdered diffraction photograph from tungsten shows lines that indexes as (110), (200), (211),…

A: Given  Lines 110 200 211 220 310 222 321 400

Q: 3.54 The accompanying figure shows three different crystallographic planes for a unit cell of some…

A:

Q: An alloy has a composition of 35wt% Pb – 65wt% Sn at 182.999 °C, determine: (1) The amount of the a…

A:

Q: Sodium oxide (Na2O) adopts a cubic structure with Na atomsrepresented by green spheres and O atoms…

A: In the given structure, eight oxygen atoms are there in eight corners of the unit cell and at the…

Q: Calculate the IPF (ionic packing factor) for UO2, which has the fluorite (CaF2) structure…

A:

Q: The orthorhombic unit cell of NiSO4 has the dimensions a= 634 pm, b = 784 pm, and c = 516 pm, and…

A:

Q: A face-centred cubic (fcc) metallic crystal has four atoms per unit cell, whereas a body-centred…

A: Given data: d = 350 pm Miller indices, (h,k,l) = (1,0,0) Density = 0.53 g cm-3

Q: Q2. Calculate the planer density of planes (011) for BCC, and FCC crystal structures?

A: Planar density is defined as the number of atoms per unit area that is centered on a plane. So,…

Q: Question is attached

A: Solid is the state of matter in which molecules are very close to each other. Crystals are very huge…

Q: Explain face centered cubic unit cell in the simplest way possible and create an overview about it…

A: Face centered cubic unit cell: It is a Nonprimitive cubic unit cell.  In case of simple cubic unit…

Q: In making computer chips, a 4.00-kg cylindrical ingot ofultrapure n-type doped silicon that is 5.20…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 02: According to the hard-sphere model, illustrate with draw figure the contributions of atoms in…

A: The hard sphere model of the unit cells give an idea of the atoms present in a unit cell and the…

Q: he planar atomic densities of planes

A: Given: Lattice parameter of FCC strontium= 6.0849Ao One atom is missing for ach 1500 strontium atoms

Q: 2. Calcium Flourite, CaF2, has a structure based on the fec lattice and a basis with Ca at 000 and…

A: Given  CaF2 has FCC structure. Ca(000),F(1/4 1/4 1/4),F(3/4 3/4 3/4)

Q: B: Define the coordination number and its value for BCC unit cell.

A: BCC: body centred Cubic unit cell.  The structure and coordination number explained below.…

Q: Two patterns of packing for two different circles of the samesize are shown here. For each structure…

A: Unit cell is the smallest repeating unit in a crystalline solid. If this unit is stacked over and…

Q: The density of totally crystalline nylon 6,6 at room temperature is 1.213 g/cm3. Also, at room…

A:

Crystal Lattices and Unit Cell

Consider a crystal. The regular and repeating pattern of constituent particles is the most distinguishing feature of crystalline solids. A crystal lattice is formed when these particles are replaced with representative points. The three-dimensional arrangement of constituent particles is known as a crystal lattice. Unit cell is that the smallest portion of a space lattice which when repeated in several directions, generate the whole lattice. Unit cell is a building block of a lattice. It is the smallest unit of cell.