Question

Niobium (Nb) has an atomic radios of 0.1430 nm and a density of
8.57 g/cm^3. Determine whether it has an FCC or a BCC crystal
structure.

Answer #1

^{3}. From this result, it is
clear that this value of density is not that provided in the
problem statement, so the crystal structure for Nb is not FCC. So,
for BCC n = 2. Thus, for BCC density = 8.57 g/cm^{3}. This
is the value provided in the above problem. Therefore, Nb has a BCC
crystal structure.

Niobium (Nb) has an atomic radius of 0.1430 nm and a density of
8.57 g/cm^3. Determine whether it has an FCC or a BCC crystal
structure.

The concentration of vacancies in niobium (Nb)
at 765˚C is 9.836 x 1018 cm-3. If niobium has
a BCC crystal structure and a lattice parameter of 0.3302 nm,
calculate the energy for vacancy formation in
niobium.

1. Aluminum and iron are both important structural metals.
Suppose they are processed into the FCC and BCC structures. Of
these four possible structures (FCC Al, BCC Al, FCC Fe, BCC Fe),
which one has the a) lowest unit cell volume, and b) lowest
theoretical density? The radius of Al is 0.1431 nm and the radius
of Fe is 0.1241 nm.
2. An unknown metal has a BCC structure, density of 7.25 g/cm3,
and atomic weight of 50.99 g/mol. Determine...

Show if lead is an FCC or a BCC crystal structure.
Lead (Pb) has an atomic radius of 0.175 nm and a density
of 11.35 g/cm3 . Use this information to determine whether it has
an FCC or a BCC crystal structure.
Please also provide the correct units.

Below are listed the atomic weight, density, and atomic radius
for three hypothetical alloys at room temperature. For each
determine whether its crystal structure is FCC, BCC, or simple
cubic and then justify your answer.
Alloy
Atomic weight
Density
Atomic radius
(g/mol)
(g/cm3)
(nm)
A
195.08
21.45
0.139
B
209
9.32
0.335
C
55.85
7.87
0.124

Niobium has a density of 8.57 g/cm3 and crystallizes
with the body-centered cubic unit cell. Calculate the radius of a
niobium atom.

1) For a metal that has the face-centered cubic (FCC) crystal
structure, calculate the atomic radius if the metal has a density
of (8.000x10^0) g/cm3 and an atomic weight of
(5.80x10^1) g/mol. Express your answer in
nm.
2) Consider a copper-aluminum solid solution containing
(7.82x10^1) at% Al. How many atoms per cubic centimeter
(atoms/cm^3) of copper are there in this solution?
Take the density of copper to be 8.94 g/cm3 and the
density of aluminum to be 2.71 g/cm3.

Calculate the radius of an silver atom in cm, given that Ag has
an FCC crystal structure, a density of 10.5 g/cm3, and
an atomic weight of 107.87 g/mol.

--Given Values--
Atomic Radius (nm) = 0.116
FCC Metal = Gold
BCC Metal: = Sodium
Temperature ( C ) = 1017
Metal A = Tin
Equilibrium Number of Vacancies (m-3) = 6.02E+23
Temperature for Metal A = 369
Metal B = Gallium
1) If the atomic radius of a metal is the value shown above and it
has the face-centered cubic crystal structure, calculate the volume
of its unit cell in nm3? Write your answers in
Engineering Notation.
...

Titanium (Ti) has an HCP crystal structure and a density of 4.51
g/cm^3. What is the volume of the unit cell in cubic meters? If the
c/a ratio is 1.58, compute the values of c and a.

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