A mineral crystallize in a cubic closest packed array of oxygen ions with aluminum ions in some of the octahedral holes and magnesium ions in some of the tetrahedral holes. Deduce the formula of this mineral, and predict the fraction of octahedral holes and tetrahedral holes that are filled by the various cations.

Q: A substance crystallizes with one atom at each corner, one atom on 8 of the edges, and one atom on 2…

A: we are given a substance that crystallizes as follows : 1 atom at each corner 1 atom at 8 of the…

Q: The white pigment titanium oxide crystallizes with titanium ions in one-half of the octahedral holes…

A: The formula of titanium oxide is given as,

Q: A substance crystallizes with 1 atom at each corner, 1 atom at each edge, and 1 atom in the center…

A: The given data is as follows: The number of atom present at each corner = 1  The number of atom…

Q: A substance crystallizes with one atom at each corner, one atom on 12 of the edges, and one atom on…

A: Unit cell means the smallest repeating unit in a crystal.

Q: A substance crystallizes with one atom at each corner, one atom on 12 of the edges, and one atom on…

A: A unit cell is a repeating unit of a crystal lattice. The number of particles present in a unit cell…

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

A: In ZnS structure, S2- ions occupy main positions and Zn2+ ions are present in alternate tetrahedral…

Q: Xenon crystallizes in the face-centered cubic system and the edge of a unit cell is 620 pm. What is…

A: Given, Xenon crystallizes in the face-centered cubic system and the edge of a unit cell is 620 pm.…

Q: A compound contains three elements: sodium, oxygen, and chlorine. It crystallizes in a cubic…

A: In the problem formula of a compound has to be in primitive cubic lattice with oxygen, chlorine and…

Q: A compound of thallium and iodine crystallizes in a simple cubic array of iodide ions with thallium…

A: Assume x be the number of iodide ions present in the lattice.  The number of cubic holes in…

Q: Which of the following statements concerning a metal crystallized in a face- centered cubic cell…

A:

Q: Arrange simple cubic, bcc and fcc lattice in decreasing order of the fraction of the occupied space.

A: Arrange simple cubic, bcc and fcc lattice in decreasing order of the fraction of the occupied space.

Q: Superalloys have been made of nickel and aluminum. The alloy owes its strength to the formation of…

A: A cubic unit cell has 8 corners, 6 faces and 12 edges. An atom occupying a corner of cubic unit cell…

Q: Given that the density of KBr(s) is 2.75 g/cm and that the length of an edge of a unit cell is 659…

A: Given  density of KBr = 2.75 g/cm3  edge of unit cell, a = 659 pm = 6.59 x 10-8 cm   Required data…

Q: An ionic compound crystallizes with 1 ion at each corner, 1 ion on two of the faces, and 1 ion on…

A:

Q: Which one of the following statements about unit cells and packing in solids is incorrect?   The…

A: The smallest repeating structural unit of a crystalline solid is called unit cell

Q: A sodium chloride crystal can be described as a face- centred cubic chlorine crystal with the sodium…

A: Introduction: In a face centred cubic unit cell, the atoms are present at each corner of the cube…

Q: A hypothetical metal crystallizes with the face-centered cubic unit cell. The radius of the metal…

A:

Q: The white pigment titanium oxide crystallizes with titanium ions in one-half of the octahedral holes…

A: In a closed packed crystal, The number of atoms, for the given case, is an oxide, per unit cell =…

Q: An unknown metal crystallizes in a face-centered cubic unit cell. The edge length of the cell is…

A:

Q: An unknown metal crystallizes in a simple cubic unit cell. The edge length of the cell is 333.6 pm.…

A: In a simple cubic unit cell, the atoms of the metals are present at the eight corners of a cubic.…

Q: The cubic unit cell of a compound has atoms A at each corner of the unit cell and one atom B on each…

A: The smallest repeating unit of the crystal lattice is the unit cell, the building block of a…

Q: Molybdenum metal, Mo, crystallizes in a cubic arrangement. In which of the cubic unit cells does Mo…

A: Given, Molybdenum metal, crystallizers in cubic arrangement. Density (d) = 10.22 g/cm3 Atomic radius…

Q: A mineral crystallizes in a cubic closest packed array of oxy- gen ions with aluminum ions in some…

A:

Q: Metallic aluminum crystallizes in a face-centered cubic lattice, with one Al atom per lattice point.…

A:

Q: A substance crystallizes with one atom at each corner, one atom on 12 of the edges, and one atom on…

A: The structure of  crystalline solid, either metal or nonmetal, is best characterized by examining…

Q: Aluminum crystallizes in FCC arrangement, Potassium forms BCC structure and Polonium follows an SCC…

A: Coordination number(C.N) is the number of nearest neighbouring atoms/ ions to the atom. FCC has C.N…

Q: 5. Copper crystallizes in a face-centered cubic structure. What is the mass of one unit? 6. What is…

A:

Q: A substance crystallizes with one atom at each corner, one atom on 4 of the edges, and one atom on 4…

A: In a lattice, atoms can be present at the corner, edge, face centre and body centre.

Q: Given that the edge length of an FCC unit cell is 674.0 pm, determine the radius of the atoms which…

A: Cyrstal lattice is the three dimensional arrangement of atoms in a crystal. The lattice can be of…

Q: What fraction of the total volume of a cubic closest packed struc- ture is occupied by atoms? ( .)…

A: To determine a) The fraction of the total volume of a cubic closest packed structure that is…

Q: An element has a crystal structure in which the width of the cubic unit cell equals the diameter of…

A: Given   width of the cubic unit cell (a) = diameter of an atom (d)  -----------(1)  diameter = 2 x…

Q: of Cu, given the mass of one Cu atom is 1.0553 x 10 g- 3. The radius of a copper atom is 127.8 pm,…

A:

Q: Tungsten crystallizes in body centred cubic unit cell. If the edge of the unitcell is 316. 5pm,…

A: Solid state is the close tight packing of molecules with definite mass, shape and volume. They are…

Q: Not all unit cells have a cubic structure. Take for example the below image wherein the unit cell…

A: Given, density = 25.69 gm/cm3 a = 10.48 A b = 6.59 A  Molar mass of Ro = 49.875 gm/mole

Q: What is the number of atoms in a unit cell of a simple cubic crystal?

A: The unit cell which are all identical are defined in such a way that they fill space without…

Q: Assume that the diameter of a metal atom is 5 nm. What is the total volume (in nm3) occupied by a…

A:

Q: Metallic rubidium crystallizes in a body-centered cubic lattice, with one Rb atom for each point in…

A: Given, Edge length of Rb = 559 pm  Number of atoms per unit cell = ?  Radius = ?

Q: Calculate the volume of the unit cell.

A: Given: It is given that,'The radius of a single atom of a generic element X is 149 pm and a crystal…

Q: A compound containing zinc, aluminum, and sulfur crystallizes with a closest-packed array of sulfide…

A: The empirical formula is the simplest ratio of the number of elements present in the molecular…

Q: Nickel crystallizes in a face-centered cubic lattice. If the density of the metal is 8.908 g.cm3 and…

A:

Q: Metallic strontium crystallizes in a face-centered cubic lattice. The volume of the unit cell is…

A: Given the volume of the unit cell = 2.25 x 10 8 x 10-10 m3 = 2.25 x 10-2 m3 = 2.25 x 10-2 x 106 cm3…

Q: What is the formula of the magnetic oxide of cobalt, used in recording tapes, that crystallizes with…

A: Given: 1. Formula of the magnetic oxide of cobalt 2. cobalt atoms occupying one-eighth of the…

Q: Zinc blende, or sphalerite, can be described as having a face-centered cubic unit cell with sulfur…

A: The number of zinc and sulfur atoms occupy in fcc unit cell is given by

Q: Describe the crystal structure of iron, which crystallizes with two equivalent metal atoms in a…

A:

Q: A crystalline form of molybdenum has a face centered cubic structure. If the radius of a molybdenum…

A: The density of unit cell is given by : density =Z ×Ma3×NA Here, M = molar mass NA = Avogadro’s…

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

A: Given that,  Metal crystallizes in a face-centered cubic lattice.  Radius of the atom (r) = 196 pm…

Q: What is the simplest formula of a solid containing A, B, C atoms in a cubic lattice in which A atoms…

A: In the cubic lattice, the atoms can be placed in Corners  Body center  Face center To find the…

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.