The element Fe has bcc packing with a body-centered cubic unit cell. The density of iron is 7.86 g/cm3 and the cell volume is 2.354 x 10-23 cm3. Calculate the value of Avogadro's number to three significant figures based on these data.

Q: The radius of a single atom of a generic element X is 161 pm and a crystal of X has a unit cell that…

A: The radius of the element X,  r = 161 pm The unit cell of element X = fcc The relation between…

Q: true or false   The density of the unit cell must be the same as the density of the bulk material.…

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Q: A fcc unit cell containing atoms of element (molar mass 60.4 g mol-1 ) has cell edge 4 × 10-8 cm.…

A: solid state  in Chemistry is the study of the structure, properties and the synthesis of solid…

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: 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: Calculate the volume of a unit cell of Nickel in nm3. The volume of unit cell of Nickel is…

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

A:

Q: A metal has atoms with a radius of 167.3 pm. It crystallizes in a simple unit cell. It has a density…

A: To calculate the molar mass of the metal in g/mol.

Q: An element with density 10 g cm-3forms a cubic cell with edge length of 3 X 10-8 cm. What is the…

A: Given: Density of element          = 10 g cm-3 Edge length of unit cell   = 3 x 10-8 cm Atomic mass…

Q: An element (molar mass = 55.5 g/mol) crystallizes in a face-centered cubic unit cell. The radius of…

A:

Q: Calculate the volume of the unit cell of chromium in cubic meters, given that chromium has a…

A:

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: 1. The cubic unit cell shown below has been shaded to add clarity; the ions in the corners are black…

A: a)   the ions in the corners are black (B) and those in the faces are gray(G) let us consider,…

Q: Imagine a cubic lattice in which X-m ions are placed on the unit cell corners and face centers and…

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Q: The radius of a single atom of a generic element X is 167 pm and a crystal of X has a unit cell that…

A: Recall the relation between radius(r) and edge length (a)for simple cubic unit cellr = a/2given r =…

Q: At 1299ºC, where iron is still a solid (melting point 1538ºC), the unit cell for the most stable…

A: All matter can be classified as solid, liquid and gases mainly. In these physical states of matter,…

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: Calculate the volume of a unit cell of Nickel in nm3. The volume of unit cell of Nickel is…

A:

Q: Given the volume of the unit cell and the density of the unknown metal, what would be the formula to…

A:

Q: if the atomic radius of Silver (Ag) is 0.144 nm, calculate the volume of its unit cell in cubic…

A: Given  Atomic radius of Silver ( r ) = 0.144 nm  Volume = ?

Q: Calculate the volume of a unit cell of KCl (assume NaCl unit cell). From this, calculate the density…

A: Given,  Density of KCl = 1.98 g/cm3  Structure of KCl is same as that of NaCl  So,  Volume of the…

Q: The density of Cr is 7.20 g cm3, It its unit cell is a cube with an edge length of 0.289 nm,…

A: Given, Density = 720gcm-3 Edge length(a) = 0.289nm = 0.289×10-9m = 0.289×10-7cm For Cr molar mass(m)…

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: 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: One side of the unit cell of MgO, which crystallizes in the face-centered cubic lattice type and has…

A: Given, The molar mass of 40 g / mol. The radius of MgO is 0.420 nm.

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: (atoms) Number of Spheres Per Unit Cell: Volume of Spheres Per Unit Cell: π ³. Number of sphere per…

A: There are mainly following type of unit cells , which have different numbers of atoms/Molecules and…

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

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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: The radius of a single atom of a generic element X is 129 pm and a crystal of X has a unit cell that…

A: Applying concept of simple cubic system a= 2r

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

A: For a face-centered cubic unit cell, the atoms are aligned along the face diagonal of the unit cell.…

Q: Consider an alloy of copper and gold with the  structure shown here: a) What is the volume (cm3) of…

A:

Q: Describe the characteristic feature of a unit cell?

A: Unit cell: The smallest repeating unit of a crystal lattice is called a unit cell.…

Q: Calcium metal forms a face-centered cubic unit cell with an edge length of 557 pm (5.57 x 10 cm).…

A:

Q: Iodine has an orthorhombic unit cell for which the a, b, and c lattice parameters are 0.479, 0.725,…

A: atomic fraction factor = 0.547  atomic radius of an atom = 0.177 nm lattice parameters: a= 0479nm ,…

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: Sodium has the body-centered cubic structure, and its lattice parameter is 4.28 Å.(a) How many Na…

A: Unit cell: It basic unit of solid which keep repeating to consume least volume and are building…

Q: Titanium metal (d = 4.50 g/cm³) has a body-centered cubic unit cell. Calculate the edge length of…

A: Given the density of titanium metal d =4.50 gcm3and Titanium metal has a body-centered cubic unit…

Q: What is the coordination number of an atom in a face-centered unit cell?

A: The coordination number of face-centered unit cell has to be given,

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: 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: 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: Spinel is a mineral that contains 37.9% Al, 17.1% Mg, and45.0% O, by mass, and has a density of 3.57…

A: We are supposed to find the atoms in the unit cell or spinel  We have the mass percent formula  Mass…

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

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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.