When spheres of radius r are packed in a body-centered cubic arrangement, they occupy 68.0% of the available volume.

Q: 5) (1) Knowing that lithium crystallizes in a cubic system with lattice considering its atomic mass…

A: lithium crystallizes in a cubic system with lattice considering its atomic mass (7) and its…

Q: In solid KCl the smallest distance between the centers of a. potassium ion and a chloride ion is 314…

A:

Q: Some hypothetical metal has simple cubic crystal structure. If its atomic weight is 67.1 g/mol and…

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Q: Europium forms a body-centered cubic unit cell and has an edge length of 4.68 cm. From this…

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Q: Silver with a density of 10.51 g/cm3 forms a face-centered cubic lattice. Use this information to…

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Q: 5. Europium forms a body-centered cubic unit cell and has a atomic radius equal to 240 pm in…

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Q: Calculate the density of gold, which has a face-centered cubic unit cell (see figure) with an edge…

A: Given :-  Gold metal formed FCC unit cell., Number of atoms per unit cell (FCC) = 4 Molar mass of…

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: 7. Consider a cubic array of bromide ions in which the anions are touching along the face of the…

A: The smallest repeating unit with full symmetry of crystal structure is known as unit cell.

Q: Nickel has a face-centered cubic structure with an edge length of 352.4 picometers. What is the…

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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: Calcium has a face-centered cubic structure.  An edge of its unit cell is 558.8 pm.  What is…

A: Since in a face-centred cubic structure, there are atoms present at all the face centres and corners…

Q: A metal has a face centered cubic structure with an edge length of 383.3 pm. If the mass of the unit…

A: The unit conversion for pm to cm is shown below. So, 383.3 pm of edge length is equal to 3.833×10-8…

Q: Aluminum crystallizes in the face-centered cubic system and the edge of the unit cell is 405 pm.…

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Q: What is the angle between the directions [110] and [111] in a cubic crystal?

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Q: How many atoms are there in a simple cubic structure?

A: In a simple cubic structure, there are eight corners and each corner contains an atom.

Q: An element (molar mass = 57.7 g/mol) crystallizes in a face-centered cubic unit cell. The radius of…

A: after knowing the cell edge and no of atom in the molecule the density can be calculated

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

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Q: The ionic compound, CsCl, forms a body centered cubic structure (see below) where the anions occupy…

A: Given : Structure of CsCl is BCC i.e body centered cubic. Density of CsCl = 3.99 g/cm3  And ionic…

Q: A crystalline form of iron  has a density of 7.874  g/cm3. If the radius of iron  atoms is 124.0…

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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: The substance gray tin is found to crystallize in a cubic lattice, with an edge length of 646.0 pm.…

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Q: Copper has a body-centered cubic unit cell and has a density of 8.96 g/cm³. From this information,…

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Q: Some hypothetical metal has simple cubic crystal structure. If its atomic weight is 61.25 g/mol and…

A: Given,  Atomic mass of the metal = M = 61.25 g/mole  Atomic radius = r = 0.174 nm  Avogadro's number…

Q: Some hypothetical metal has simple cubic crystal structure. If its atomic weight is 68,73 g/mol and…

A: For Simple cubic crystals, there is a relation between edge length and radius a=2r from here we have…

Q: 3. An atom has a radius of 138 pm and crystallizes in the body-centered cubic un What is the volume…

A: Introduction : We have to calculate the volume of cube in BCC

Q: Nickel, Ni, has a face-centered cubic structure with an edge length of 352 pm. What is the density…

A: The density of fcc unit cell of nickel is calculated in step two.

Q: Barium has a body-centered cubic structure. If the atomic radius of barium is 222 pm,calculate the…

A: Given data contains,  Atomic radius of radius is 222 pm. For BCC unit cell, the edge length is…

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

A: In face-centered cubic crystal; Total 3 atoms are present at 6 faces of the cube. One atom per…

Q: Molybdenum forms body-centered cubic crystals and at 20°C the density is 10.3 g/mL. Calculate the…

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Q: Lead forms a face-centered cubic lattice, and a lead atom is 348 pm in diameter. Calculate the…

A: Formula used  density =  Z*M / Na . a3 where Z = no. of atoms per unit cell M = Molar mass, Na =…

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: An element has a face-centered cubic unit cell and an atomic radius of 135.5 pm. Calculate the edge…

A: Relation between edge length of cube and radius is :- for FCC lattice is √(2a) = 4r .

Q: Iridium (Ir) has a face-centered cubic unit cell with an edge length of 383.3 pm. Calculate the…

A: The question is based on the concept of solid state. we have to calculate density of Iridium metal.

Q: Strontium metal, Sr, crystallizes in a face-centered cubic arrangement. What is the radius (in…

A: In this question we have to calculate the radius of one atom in picometer which crystallizes in FCC.…

Q: J: Sodium metal, Na, crystallizes in a body-centered cubic arrangement. What is the density (in…

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Q: Metallic potassium has a body-centered cubic structure. If the edge length of unit cell is 533 pm,…

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Q: The ionic compound, CsBr, forms a body centered cubic structure (see below) where the anions occupy…

A:

Q: What is the edge length in pm for a simple cubic with a radius of 145 pm?

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Q: Rhodium has a density of 12.41 g/cm3 and crystallizes with the face-centered cubic unit cell.…

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Q: calculate its theoretical density in g/cm3

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Q: What does the body-centered cubic unit cell consist of?

A: There are 14 Bravais lattices which was shown by the scientist Bravais. Among the 14 bravais…

Q: Chromium forms a body-centered cubic unit cell and has a density of 7.18 g/cm3. From this…

A: There is a formula to determine the density of a solid using the Z-factor, molar mass and edge…

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: Some hypothetical metal has simple cubic crystal structure. If its atomic weight is 77.44 g/mol and…

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Q: Potassium crystallizes in a body-centered cubic lattice. How many atoms are there per unit cell? (A)…

A: In this question, we will see the number of atoms in per unit cell in BCC unit cell.  You can see…

Q: Barium has a density of 3.59 g/cm3 and crystallizes with the body-centered cubic unit cell.…

A: Barium crystallizes with body centered cubic unit cell which means atoms are present at all 8…

Q: 1) The volume of one ruthenium atom (molar mass = 101.1 g/mol) is 1.211x10 -23cm³. What would be the…

A: Given  Volume of one ruthenium atom is 1.211x10-23cm3 MOLAR mass of ruthenium is 101.1 g/mol Density…

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.