Complete the table below based on the given unit cell models given: The Simple Cubic Arrangement SC FCC BCC a = edge length V=8r Simple Cubic Unit Cell a=2r # of atoms Why? V = 16v2r³ Face Centered Unit Cell % space occupied by the spheres = The volume of sphere is 4/3 (1) r³ and the radius of each atom is 1.0 cm. (1 cm³ 1 mL). Assume that all the above solids are of the same material having a molar mass =26.98 g/mol. ). Calculate the following: number of atoms (spheres) inside the unit cell, total volume of spheres inside the unit cell, volume of the unit cell and the % of space occupied in the unit cell using the equation: V spheres V cell V= Vspheres Vcell 64√3 9 Body Centered Unit Cell x 100 % occupied Density (g/mL) Based on the calculated density, what is the most probable lattice type of the material?

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Complete the table below based on the given unit cell models given:
The Simple Cubic Arrangement
SC
FCC
BCC
a = edge length
a=2r
V=8r
Simple Cubic Unit Cell Face Centered Unit Cell
# of atoms
V = 16v2r³
% space occupied by the spheres =
Why?
The volume of sphere is 4/3 (1) r³ and the radius of each atom is 1.0 cm. (1 cm³ 1 mL).
Assume that all the above solids are of the same material having a molar mass =26.98 g/mol. ).
Calculate the following: number of atoms (spheres) inside the unit cell, total volume of spheres
inside the unit cell, volume of the unit cell and the % of space occupied in the unit cell using the
equation:
V spheres
V cell
V=
Vspheres
Vcell
64√3
Body Centered Unit Cell
x 100
% occupied
Density
(g/mL)
Based on the calculated density, what is the most probable lattice type of the material?
Transcribed Image Text:Complete the table below based on the given unit cell models given: The Simple Cubic Arrangement SC FCC BCC a = edge length a=2r V=8r Simple Cubic Unit Cell Face Centered Unit Cell # of atoms V = 16v2r³ % space occupied by the spheres = Why? The volume of sphere is 4/3 (1) r³ and the radius of each atom is 1.0 cm. (1 cm³ 1 mL). Assume that all the above solids are of the same material having a molar mass =26.98 g/mol. ). Calculate the following: number of atoms (spheres) inside the unit cell, total volume of spheres inside the unit cell, volume of the unit cell and the % of space occupied in the unit cell using the equation: V spheres V cell V= Vspheres Vcell 64√3 Body Centered Unit Cell x 100 % occupied Density (g/mL) Based on the calculated density, what is the most probable lattice type of the material?
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