A tetrahedral site in a closest-packed lattice is formed by four spheres at the corners of a regular tetrahedron. This is equivalent to placing the spheres at alternate corners of a cube. In such a closest-packed arrangement the spheres are in contact, and if the spheres 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 the length of the body diagonal of this cube and then find the radius of the tetrahedral hole.

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: 1.Vanadium crystallizes in a body-centered cubic lattice, and the length of the edge of a unit cell…

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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: How many Ca2+ ions are present in one-unit cell of this crystal? А) 1 2 4 D) 6

A: Ca2+ unit cell is face centred cubic .

Q: The most space efficient arrangement of spheres is found in which type of unit cell?   I.…

A: Packing efficiency determine how efficiently spheres are arranged. High value of packing efficiency…

Q: What element forms a face centered cubic cell, has a density of 8.92g/cm3 and a radius of 128pm?

A: Density of a unit cell is given as the ratio of mass and volume of unit cell. The mass of a unit…

Q: A (made-up) metal has a face-centered cubic crystal structure. Its density is 20.5 g/cm 3. Its molar…

A: For the FCC cubic,  Density = 20.5 g/cm3 Molar mass = 189 g/mol

Q: A metal crystallizes in a body centered cubic lattice. if the radius of this metal atom is 146 pm…

A: Given  Radius of the metal ( r ) = 146 pm Lattice type = BCC ( body centered cubic )  Edge length (…

Q: Barium crystallizes in a body-centered cubic unit cell with a density of 3.62 g/cm3. Calculate the…

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Q: Draw the following directions or planes in a single unit cell. (a.) [010] , (b.) (220) , (c.) (111),…

A: crystals are made of infinite no of unit cells.unit cell is smallest unit of crystals if repeated…

Q: Iron(II) oxide has a cubic structure and each side of unit cell is 5 A. If density of the oxide is 4…

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Q: An atom of a metal has a radius of 250 pm. If the metal follows body-centered cubic cell crystalline…

A: Given  Lattice type = Body centered cubic  Radius of metal ( r ) =  250  pm  Edge length of unit…

Q: A (made-up) metal has a face-centered cubic crystal structure. Its density is 20.5 g/cm 3. Its molar…

A: Given, Structure: FCC (Face centred cubic lattice) Density (d) = 20.5 g/cm3 Molar mass of metal =…

Q: How many atoms are there in a body-centered cubic unit cell of rubidium? а. 4 b. 8 О с. 1 d. 6 Ое. 2

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Q: The compound Rb3TIF6 has a tetragonal unit cell with dimensions a = 651 pm and c = 934 pm. Calculate…

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

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

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Q: Show how the cesium chloride, sodium chloride, and zinc blende unit cells each contain a…

A: In the cesium chloride unit cell, one chlorine ion is present at each corner of the unit cell. Since…

Q: Sodium oxide, Na20, crystallizes into a structure in which the O2- ions occupy the face-centered…

A: Given: In Na2O lattice, the O2- ions form a face-centred cubic lattice and the Na+ ions occupy the…

Q: a metal has a body centered cubic packing structure and its density is 6.88 g/ml volume of one atom…

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Q: Iridium forms a face centered cubic lattice, and has a 271.4 pm in diameter. The radius of each unit…

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Q: 1. Which of the following unit cells do not exist for monoclinic lattices? a) Simple unit cell, b)…

A: 1) c) FCC doesn't exist for the monoclinic lattices. 2) a) [310]

Q: What is the minimum number of atoms that could be containedin the unit cell of an element with a…

A: Since in a body centered cubic lattice, we have 1 atom in body centre and 8 atoms, 1 on each corner.…

Q: What is the minimum number of atoms that could be containedin the unit cell of an element with a…

A: Since we have atoms present at corners and face centres of cube in fcc as  1) 8 atoms on each of the…

Q: Which solid has an ABC particle packing pattern? NaCl (fcc unit cell) CsCl (bcc unit cell)…

A: Solid has various unit cells like simple cubic cell, body centered cubic cell and face centered…

Q: An element with molar mass 27 g mol-1 forms a cubic unit cell with edge length 4.05 X 10-8 cm. If…

A: Given data: The molar mass of the element (M) =27 g mol-1 The edge length of the cubic unit cell (a)…

Q: 1. In a face-centered cubic lattice, an atom laying in a face of a unit cell is shared equally by…

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Q: What is the volume of the unit cell for a body-centered cubic structure for atoms with radius, r? a.…

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Q: There are only together to completely fill all space (in 3 dimensions) without overlapping.…

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Q: Within a cubic unit cell, sketch the following directions and planes: (a) [1 10] (d) (011) (b) [1 2…

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

Q: The Structure of Crystalline Solids If the atomic radius of a metal that has the face-centred cubic…

A: For a FCC crystal structure, the relationship between edge length (a) and the radius r is, a = 2√2 r…

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

A: Given that, a tetrahedral site in a closest-packed lattice is formed by placing the four spheres at…

Q: What element forms a face centered cubic cell, has a density of 8.92 g/cm^3, and a radius of 128 pm?

A: Density of solid (ρ) = (Z x M )/(NA x V) Where                  Z = Number of atom in unit cell…

Q: Iridium crystallizes in a face-centered cubic unit cell. What is the radius of the iridium atom? The…

A: This question is related to crystallography. There are various types of lattice system such as…

Q: -Within a cubic unit cell, sketch the following directions: a) [101); b) [211} c) [313]

A: a)

Q: What is the edge length of a body-centered cubic unit cell made up of atoms that each has a radius…

A: Body-Centered Cubic unit cell ( BCC ) :  In a unit cell (cube ), When one-eighth of an atom at each…

Q: Zinc sulfide is an important industrial source of zinc and is also used as a white pigment in paint.…

A: Zinc sulfide is an inorganic compound. It is mainly found in mineral sphalerite and wurtzite . Zinc…

Q: Can you please answer this with serious detail and depth, as in every last little step explained as…

A: The beryllium atoms occupy the corners of the unit cell as well as the face centers of the unit…

Q: The unit cell of an intermetallic compound consists of a face-centered cube that has an atom of…

A: The unis shell of the face-centered cube has an atom of element X at each corner and an atom of…

Q: Atom X (183.04 g/mol) crystallizes in a face-centered cubic unit cell that has an edge length of…

A: In case of face centred cubic lattice , the relationship between edge length " a " of unit cell and…

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: How many atoms are in one body-centered cubic unit cell of a metal? O A) 1 O B) 2 O C) 3

A: In a solid state, atoms are arranged in the lattice that forms a unit cell. A solid structure is…

Q: Silver crystallises in a fee lattice. If the edge length of the unit cell is 4.07 X 108 cm and…

A: Note: The edge length of the unit cell should be 4.07 x 10-8 cm instead of 4.07 x 108 cm in order to…

Q: Metallic strontium crystallizes in a face-centered cubic lattice, with one Sr atom per lattice…

A: Firstly we will calculate the edge length(a) from the relation of radius with the edge length of FCC…

Q: Calculate the density of metallic iron, which has a body-centered cubic unit cell (see figure) with…

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Q: Sketch within a cubic unit cell the following planes: (а) (101) (e) (111) (b) (2Ī1) _M (212)

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Q: Iron packs in a body-centered cubic structure. If an iron atom has a radius of 126 pm, what is the…

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Q: Body-centered cubic structure a. Show that for BCC the lattice length a in terms of the atomic…

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Q: What is the edge length of a body-centered cubic unit cell made up of atoms that each has a radius…

A: Find the edge length in BCC unit cell having r = 178 pm

Q: Relate the Unit Cell Volume, Edge Length, and Atomic Radius with examples?

A: Edge length is denoted by 'a' and atomic radius is denoted by 'r'. In simple cubic unit cell, atoms…

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.