Iron has a body centred cubic unit cell with a cell dimension of 286.65 pm.The density of iron is 7.874 g cm–3. Use this information to calculateArogadro number.

Q: The density of turquoise, CuAl6(PO4)4(OH)8(H2O)4, is 2.927 g cm-3 . This gemstone crystallizes in…

A: Given, density of turquoise= 2.927 g cm-3             a =7.424 Å = 7.424 x 10-8 cm             b=…

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: Metal has an atomic radius of 177.76 pm and a cell unit length of 503 pm. What is its unit cell…

A: Given, Atomic radius of metal (r) = 177.76 pm Unit length (a) = 503 pm Unit cell arrangement = ?…

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: Tungsten crystallizes in body-centred cubic unit cell. If the edge of the unit cell is 316.5 pm,…

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

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: 3. Describe the crystal struUcture of iron, which crystallizes with two equivalent metal atoms in a…

A: Please find your solution below : Crystal structure is an ordered arrangement of atoms, ions or…

Q: 4. Chromium crystallizes with a body-centered cubic unit cell. The radius of a chromium atom is 125…

A: Density of a lattice is calculated using the following formula ρ=zMNa3 Where ρ=density M=atomic…

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

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Q: Calculate the packing fractions of (i) a primitive cubic unit cell, (ii) a bcc unit cell, (iii) an…

A: Packing fractions give us an idea about how well the atoms are packed in the unit cell. The packing…

Q: The unit cell length for a Face Centered Cubic unit cell is 4r/Sqrt(3). Why? Derive this equation.

A: Face Centered Cubic

Q: If the density of europium is 5.25 g/cm3 at 20 degrees celsius, what is the mass (in grams)of one…

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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: 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: etallic tantalum crystallizes in a body-centered cubic lattice, with one Ta atom per lattice point.…

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Q: Describe the characteristic features of a simple cubic unit cell?

A: A simple cubic cell is a type of unit cell with atoms arranged in all the corners of the unit cell.

Q: alculate the volume of the unit cell of Zn crystal. a and c of Zn are 266.5 pm and 494.7 pm…

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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.

Q: The unit cell of a compound containing strontium, iron, and oxygen is shown here. Compute the…

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

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

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.…

Q: Methane crystallizes in a cubic unit cell with a = 0.589 nm. (a) Calculate the theoretical density…

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Q: Given that the density of KBr is 2.75 g/cm3 and that the length of an edge of the unit cell is 659…

A: Interpretation: The density of KBr is 2.75 g/cm3 and that the length of an edge of the unit cell is…

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: Metallic vanadium crystallizes in a body-centered cubic lattice, with one V atom per lattice point.…

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

Q: The metal cesium crystallizes in a body-centered cubic lattice.  If the density of cesium is 1.88…

A: Given density of Cs = 1.88 g/cm3  For body-centered cubic lattice, number of effective atoms per…

Q: What is the coordination number and the packing fraction of a primitive cubic lattice in which there…

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

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: NH4Cl has a face-centered cubic unit cell in which the Cl- anions occupy corners and face centers,…

A: Given data: ionic radius of NH4+ = 123.5 pm ionic radius of Cl- = 184.0 pm Formula used:…

Q: In which of the following unit cells is drawn a (10T) plane?

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Q: The orthorhombic unit cell of NiSO4 has the dimensions a = 634 pm, b = 784 pm, and c = 516 pm, and…

A:

Q: A certain metal M crystallizes in a lattice described by a body-centered cubic (bcc) unit cell.…

A: In the bcc unit cell, the atoms are present at each corner as well as the body center of a unit…

Q: Question attached

A: The radius ratio helps in determining the structure of ionic solids and the coordination numbers of…

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: Calculate the ratio of the maximum radius of an interstitial atom at the center of each face of a…

A: Let us say the radius of the host atom is r1 and r2 is the radius of the interstitial atom Then from…

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

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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

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: If the density of solid tungsten is 19.3 g/cm³, what is the packing efficiency of W if it adopts a…

A: Given, density of tungsten is 19.3 g/cm3, molar mass of tungsten is 183.84 g/mol, effective number…

Q: Europium crystallizes in a bcc cubic lattice.    a. If the atomic radius of a europium atom is 231…

A: A) The volume of the unit cell is = (a3) a=  given 231 pm = 231*10-10 cm   So volume of unit is…

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.