The well known mineral fluorite is chemically calcium fluoride. It is known that in one unit cell of this mineral there are 4 Ca2+ ions and 8 F–. ions and that Ca2+ ions are arranged in a fee lattice. The F- ions fill all tetrahedral holes in the face centred cubic lattice of Ca2+ ions. The edge of the unit cell is 5.46 X 10-8 cm in lengtli. The density of the solid is 3.18 g cm-3. Use this information to calculate Avogadro’s number. (Molar mass of CaF2 = 78.08 g mol-1)

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A: as per Q&A guidelines of portal I solve first image questions because it comes under multiple…

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

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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: calculate the radius of a rhodium atom if the density is 12.41g/cm^3 and crystallizes with the…

A: Rhodium crystallizes in a face centered cubic (fcc) unit cell.A fcc unit cell has 4 atoms in itmolar…

Q: An element of atomic mass 98.5 g mol-1 occurs in fcc structure. If its unit cell edge length is 500…

A: In face centered cubic (fcc) lattice, there are ions or molecules present at the corners of cube and…

Q: An orthorhombic unit cell of a compund of molar mass 135 g/mol has the dimensions a = 589 pm, b =822…

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Q: LiH crystallizes with H-ions defining either a simple cubic or a face-centered cubic lattice. The…

A: The density of a crystal is given as :

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Q: platinum crystallizes in a FCC lattice with all atoms at the lattice points It has a density…

A: For FCC , Z = 4 Let edge length of unit cell = a cm d = 1338.905 lb/ft3  = 1338.905 x 0.0160185 =…

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…

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Q: Rhenium forms a series of common oxides which can be characterized by differing colors: Re2O7…

A: The given structure is represented as follows:

Q: Show that your calculation of number of atoms in a unit cell (⅛, ¼, ½, 1 added together support the…

A: NaCl shows a FCC type  Structure In FCC  Na is of small size so na occupy the  octahedral  voids…

Q: Question attached

A: Unit cell is the smallest repeating unit which repeats in all directions, forming the entire crystal…

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

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Q: If the density of solid chromium is 7.15 g/cm3, what is the packing efficiency of Cr if it adopts a…

A: The question is based on the concept of solid state. we have been given density and type of crystal…

Q: Calcium fluoride forms a crystalline lattice in fluorite. The fluoride ions are the lighter spheres…

A: Given, CaF2 adopts Fluorite structure.

Q: Express the relationship between atomic radius (r) and the edge length (a) in the bcc unit cell.

A: Note that for a BCC unit cell, there will be one atom divided equally at all the 8 corners of the…

Q: Solid KI has the so-called aCl structure. The shortest distance between the centre of a potassium…

A: Edge length of cube = 707pm

Q: Cesium chloride has a body-centered cubic structure with unit cell 0.4123 nm. What is the potential…

A: Potential energy can be calculated using the following formula.

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A: We know Crack is a BCC(body centre cubic) structure . In BCC structure eight atoms are present at…

Q: hcp

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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.…

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

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A: Edge length can be calculated for bcc unit cell using the given formula as follows,

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Q: How many atoms constitute one unit cell of a face-centred cubic crystal?

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A: Given lattice,           Primitive cubic lattice. The number of atoms in a primitive cubic lattice…

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A:

Q: How many atoms can be assigned to its unit cell if an element forms (i) a body-centred cubic cell,…

A: (i) a body-centred cubic cell: The total number of atoms assigned to one unit cell of a body-centred…

Q: Insulin forms crystals of the orthorhombic type with unit-cell dimensions of 13.0 x 7.48 × 3.09 nm.…

A: Given: Unit-cell dimensions = 13.0×7.48×3.09 nm Density (d) of unit cell = 1.315 g cm-3 Z (Atoms per…

Q: Calculate the volume of the unit cell.

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Q: If the density of europium is 5.25 g/cm3 at 20 degrees celsius with a volume of 1.52 x 10-22cm3,…

A:

Q: If the density of solid chromium is 7.15 g/cm3, what is the packing efficiency of Cr if it adopts a…

A: Packing efficiency is defined as the percentage of space occupied by constituent particle packed…

Q: Given that the density of KBr(s)KBr(s) is 2.75 g/cm32.75 g/cm3 and that the length of an edge of its…

A: For a crystal lattice, density is given by the formula:ρ= Z ×MNA ×a3  where, ρ= Density           Z=…

Q: In an experiment, you measure the proportion of unit cells that occupied by atoms. For one cell, you…

A:

Q: An orthorhombic unit cell of a compound of molar mass 135.01 g mol−1 has the dimensions a = 589 pm,…

A: To calculate The number of formula units in a unit cell. Mass density

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Q: Determine the packing factor for the FCC cell. In a FCC cell, there are four lattice points per…

A: There are different types of packing of atoms within a unit cell. It can be: simple cubic FCC BCC…

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.