Question

NaCl is a “face-centered” ionic crystal with a unit
cell side length of 564 pm. Find the volume in cm3 of the

empty space inside one NaCl unit cell (aka. interstitial sites)

Answer #1

face centred means 1/2 part of phere in each face and cube has 6 faces so total sphere is 3.and 1/8 part of each sphere at its each corneer so from here we have 8* 1/8 = 1 sphere

total sphere = 4

now raius is linked with the unit cell length = r = A/2* 2^1/2 (A=564 pm)

r= 564/2*2^1/2 = 199.4 pm

now volume covered by 4 spheres = 4 * 4/3 * 3.14 *r^3

= 4* 4/3 * 3.14 *199.4^3= 133772474 pm^3

now volume of unit cell = A ^3 =564^3 = 179406144 pm^3

now empty space = unit cell 's volume - total volumes of sphere

= 179406144-133772474= 45633670 pm ^3

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1. Unit Cells
i. A certain metal crystallizes in a face-centered cubic unit
cell. If the atomic radius is 150 pm, calculate the edge length
(cm) and volume of the unit cell (cm3)?
ii. If said metal is Gold (Au), calculate the density.

Copper crystallizes with a face-centered cubic lattice and has a
density of 8.93 g/cm3.
a.) Calculate the mass of one unit cell of copper (in grams) b.)
Calculate the volume of the copper unit cell (in cm3). c.)
Calculate the edge length of the unit cell (in cm). d.) Calculate
the radius of a copper atom (in pm).

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?

Rhodium crystallizes in a face-centered cubic unit cell. The
radius of a rhodium atom is 135 pm.
Determine the density of rhodium in g/cm3. Which of the below is
the correct answer?
12.4 g/cm3
3.07 g/cm3
278 g/cm3
0.337 g/cm3

Rhodium crystallizes in a face-centered cubic unit cell. The
radius of a rhodium atom is 135 pm.
Determine the density of rhodium in g/cm3.
please show all work and units!

The crystalline form of silver (Ag) is composed of face-centered
cubic unit cells. If the density of silver is 10.48 g/cm3 at room
temperature, what is the edge length of a unit cell of crystalline
silver? Report your answer in picometers (pm).

Iridium metal crystalizes in a face-centered cubic structure.
The edge length of the unit cell was found by x-ray diffraction to
be 383.9 pm. The density of iridium is 22.42g/cm^3. Calculate the
mass of an iridium atom. Use Avogadro's number to calculate the
atomic mass of iridium.

Nickel crystallizes in a face-centered cubic lattice. If the
density of the metal is 8.908 g/cm3, what is the unit cell edge
length in pm?

Gold is a face-centered cubic structure that has a unit cell
edge length of 4.08 Å. There are four gold atoms per unit cell.
How many gold atoms are there in a sphere that is 13 nm in
diameter? Recall that the volume of a sphere is
4/3πr^3.

A certain metal crystallizes in a body centered cubic unit cell
with an edge length of 310 pm. What is the length in Angstroms of
the unit cell diagonal that passes through the atom?

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