Question

*BCC (body-centered cubic) crystal structure is one of common
crystal structuresfor metals. Please do the following
questions.*

*(a) Describe what is a BCC structure and draw a BCC unit
cell.*

*(b) Calculate the radius of a vanadium (V) atom, given that
V has a BCCcrystal structure, a density of 5.96 g/cm ^{3},
and an atomic weight of 50.9 g/mol.*

Answer #1

1. Rubidium metal has a
body-centered cubic structure. The density of the metal is 1.532
g/cm3. Calculate the radius of the rubidium atom. Assume
that rubidium atoms are spheres. Then note that each corner sphere
of the unit cell touches the body-centered sphere.
2. Copper metal has a face-centered
cubic structure. The density of the metal is 8.93 g/cm3.
Calculate the radius of the copper atom. Assume that copper atoms
are spheres. Then note that the spheres on any face...

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.

An element crystallizes in a body-centered cubic lattice. The
edge of the unit cell is 3.37 Å in length, and the density of the
crystal is 7.88 g/cm3 .
Calculate the atomic weight of the element.
Express the atomic weight in grams per mole to three significant
digits.

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...

Chromium crystallizes in a body-centered cubic unit cell with an
edge length of 2.885 Å.
(a) What is the atomic radius (in Å) of chromium in this
structure?
____ Å
(b) Calculate the density (in g/cm3) of chromium.
____ g/cm3

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.

The substance tantalum is found to crystallize in a body
centered cubic unit cell and has a density of 17.01 g/cm3 using
these data. Calculate the atomic radius of Tantalum in
picometers

Describe radius ratio rule. Lithium metal crystallises in a body
centered cubic crystal. Ifthe length of the side of the unit cell
of lithium is 351 pm, what will be the atomic radius of the lithium
ion?

A metal (FW 243.7 g/mol) crystallizes into a body-centered cubic
unit cell and has a radius of 1.86 Å. What is the density of this
metal in g/cm3?

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.

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