A tetrahedral site in a closest-packed lattice is formed by fourspheres at the corners of a regular tetrahedron. This is equivalentto placing the spheres at alternate corners of a cube. In such aclosest-packed arrangement, the spheres are in contact, and if thespheres have a radius r, the diagonal of the face of the cube is 2r.The tetrahedral hole is inside the middle of the cube. Find firstthe length of the body diagonal of this cube and then the radiusof the tetrahedral hole.

Q: Shown here is a compound that crystallizes with copper ions (the small spheres) occupying half of…

A: The given cell is,

Q: The metal rubidium crystallizes in a body-centered cubic lattice. If the radius of rubidium is 248…

A: The relation between edge length (a) and radius of atom (r) for BCC lattice i √(3a) = 4r .

Q: A metal crystallizes in a face-centered cubic lattice. The radius of the atom is 196 pm and the…

A: A face-centered cubic lattice contains atoms present at the face and at the corner of the lattice.…

Q: (2) A hypothetical tetrahedral crystal has the following lattice parameters: a = b = 0.40 nm, c =…

A: Miller indices is a group of three numbers that indicates the orientation of a plane or set of…

Q: An element crystallizes in a face-centered cubic lattice. Theedge of the unit cell is 4.078 Å, and…

A: Given, Edge length of a unit cell = 4.078A. Density of crystal = 19.30g/cm3. The volume of the unit…

Q: The compounds K2O, ZnS, and ZrI4 all can be described as cubic closest packed anions with the…

A: Anions are larger in size than cations in an ionic solid. So, anions constitute the lattice and…

Q: Indicate the planes (a) (100), (b) (134), and (c) (102) within a unit cell

A: Miller indicies are way to notate crystallography for planes in the crystal(bravias) lattice.

Q: Copper crystallizes in a face centered cubic lattice (the Cu atoms are ate the lattice points only).…

A: Face centered cubic lattice has atoms present in the corners of the cube and face centres of each…

Q: Silver with a density of 10.51g/cm3 forms a face-centered cubic lattice. What is the radius of the…

A: We have to calculate the radius of Ag atom.

Q: What type of lattice—primitive cubic, body-centered cubic,or face-centered cubic—does each of the…

A: a) CsCl has a body centred lattice as shown below  Here the Cs+ ions make the cubic lattice and Cl-…

Q: please answer

A: For the nickel FCC structure, Planer density (PD) for (111), (110), and (100) is 1.848×1019 m-2,…

Q: How many total cations (A and B) and anions (X) are there in the unit cell below? = A = B = X

A:

Q: 2. At 1425 degrees centegrade Fe crytallizes in a body centered cubic lattice whose edge length is…

A: a) Radius of sphere can be calculated by  a√3 = 4r  where, a = edge length  => r = a√3/4  => r…

Q: 2. A) Within the following cubic unit cells (left and right), sketch the following directions (to…

A: Miller indices are used to specify directions and planes. • These directions and planes could be in…

Q: with solution

A: The side length of cubic cell is given = 0.3833 nm  Hence volume of cubic cell = (side length)3…

Q: A metal crystallizes in a face-centered cubic structure and has a density of 11.9 g/cm3. If the…

A:

Q: 12.16 Indicate the type of solid (molecular, metallic, ionic, or covalent-network) for each…

A:

Q: The compounds Na2O, CdS, and ZrI4 all can be described as cubic closest packed anions with the…

A:

Q: 2b) Gold (Au) crystallizes in a cubic close-packed structure (face centered cubic unit cell). The…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Why do covalent and molecular crystals typically have a much lower packing density than metal…

A: Covalent crystal have much Lower density than metal crystal.

Q: 2. Sketch within a cubic unit cell the following planes. (a) (0T) (b) (1 0 2) (e) (T 1 ī) (d)23) (e)…

A:

Q: A hypothetical element crystallizes with a BCC unit cell. Its density is 5 g/cm3 and its molecular…

A: Given data,  Density of element = 5 g/cm3 Molecular weight of element = 235 g/mol  For a BCC unit…

Q: Calcium has a cubic closest packed structure as a solid. Assuming that calcium has an atomic radius…

A: The given data contains, Atomic radius = 197 pm.

Q: What type of solid (network, metallic, Group 8A, ionic, or molecular) will each of the following…

A: Answer to all the subparts have been given below

Q: Perovskite is a compound with a cubic unit cell and has astrontium atom at the center of the cell,…

A: The crystal lattice is the regular three-dimensional arrangement of points in space. The unit cell…

Q: Lithium selenide can be described as a closest-packed array of selenide ions with lithium ions in…

A: Welcome to bartleby!

Q: Under certain conditions, iron (A = 55.84 g/mol) can assume a face-centered cubic (FCC) structure…

A:

Q: The crystal structure of lead is FCC and its density is 11.36Mg/m^3. What is its lattice parameter…

A: The FCC unit cell is the simplest repeating unit in a cubic close-packed structure which consists of…

Q: Which of the following properties are typical characteristicsof a covalent-network solid, a metallic…

A: a. Ductility - Metallic solid

Q: What is the formula of a compound in which the element ‘Y’ form hep lattice and atoms of ‘X’ occupy…

A: In a unit cell, atoms are present at corner, faces and edges depending upon the type of unit cell.…

Q: A tetrahedral site in a closest-packed lattice is formed by four spheres at the corners of a regular…

A:

Q: In the unit cell below, element X is within the cell and element Y is at the corners. Select one:…

A: Welcome to bartleby !

Q: In XCL, which crystallizes in CsCl structure, one edge of the unit cell isfound to be 370.8 pm Using…

A:

Q: What is a unit cell? Sketch a unit cell and label the dimensions a, b, and c and the angles 6.…

A: The answer is as follows:

Q: The structure of the compound K2O is best described as a cubic closest packed array of oxide ions…

A: The lattice structure of cubic closed packing (ccp) is similar to that of FCC (face centered cube).…

Q: The rutile and fluorite structures, shown here (anions arecolored green), are two of the most common…

A: (a) The structure adopted by the ionic compound depends upon the relative size of the ions. If the…

Q: Polonium is the only metal that forms a simple cubic crystal structure. Use the fact that the…

A: The question is based on solid state. we have to calculate radius of the given Polonium atom.…

Q: How many molecular orbitals are present in the valence band of a sodium crystal with a mass of 5.45…

A: The number of sodium atom in a sodium crystal with a mass of 5.45 g is calculated as shown below.…

Q: Q11:- Determine the indices for the directions shown in the following cubic unit cell: +z 11 21 +y…

A: The set of 3 numbers that represent the orientation of a plane (or a collection of parallel planes)…

Q: ndicate the strongest force holding the crystals together in the following substances:    TYPES OF…

A: Since you have posted multiple questions, we will solve only first question for you. If you want any…

Q: An element crystallizes in aface-centered cubic latticeand has a density of 1.45 g/cm3. The edge of…

A: We know that : d = nM/a^3NA or, M = (d*a^3*NA)/(n) ...(1) Here, n = no. of atoms present in FCC = 4…

Q: A hypothetical tetrahedral crystal has the following lattice parameters: a = b = 0.40 nm, c = 0.5…

A: Miller indices is a group of three numbers that indicates the orientation of a plane or set of…

Q: A metal with  density 18.60 g/cm3 crystallizes in face center cubic unit cell. What is        the…

A: Given: Density, d= 18.60 g/cm3  Atomic radius, r= 1.60 x 10-8 cm for face center cubic unit cell, Z…

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.