Question

Find the volume of the primitive unit cell in a crystal of Chromium.

Find the volume of the primitive unit cell in a crystal of Chromium.

Homework Answers

Answer #1

Before attempting this question we need to know some basic informations about the element Chromium.

1. Chromium has body centered cubic (bcc) crystal structure.

2. Lattice constant of Chromium is 2.91Å.

Now we can solve the question. Here total number of atoms per unit cell is 2.(bcc strucure)

Volume of the primitive unit cell is half times a3.

ie volume = 1/2*(a3) where a is the lattice constant, a= 2.91Å.

Substituting the value of 'a' we get

Volume=12.32 Å3.

Answer: 12.32 Å3

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For a given primitive cell volume V, which monoatomic crystal will have its nearest neighbours furthest...
For a given primitive cell volume V, which monoatomic crystal will have its nearest neighbours furthest away, between simple cubic, BCC, and FCC?
NaCl is a “face-centered” ionic crystal with a unit cell side length of 564 pm. Find...
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)
a) A monochromatic x-ray beam gives diffraction of a 18 °C degree cubic crystal at an...
a) A monochromatic x-ray beam gives diffraction of a 18 °C degree cubic crystal at an angle of 2θ = 150.8 °. When the same experiment is repeated at a temperature of 318 degrees, the diffraction angle is 141.6 °. What is the linear expansion coefficient of this crystal? Calculate. b) Find the lattice vectors and the angles between the lattice vectors of conventional and primitive unit cells for surface centered cubic (FCC) lattice. Find the volume of the unit...
Chromium crystallizes in a body-centered cubic unit cell with an edge length of 2.885 Å. (a)...
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
Inorganic Chemistry: Show that the atoms occupy only 52.4% of the total volume in a primitive...
Inorganic Chemistry: Show that the atoms occupy only 52.4% of the total volume in a primitive or simple cubic unit cell.(By contrast, in a closest-packed structure like fcc, the atoms occupy 74% of the total volume)
Metallic lithium has a bcc crystal structure. Each unit cell is a cube of side length...
Metallic lithium has a bcc crystal structure. Each unit cell is a cube of side length (a) For a bcc lattice, what is the number of atoms per unit volume? Give your answer in terms of a. (Hint: How many atoms are there per unit cell?) (b) Use the result of part (a) to calculate the zero-temperature Fermi energy for metallic lithium. Assume there is one free electron per atom.
Solid State Physics a) Draw the hegzagonal lattice  and write the primitive translation vectors of the lattice...
Solid State Physics a) Draw the hegzagonal lattice  and write the primitive translation vectors of the lattice . b) Calculate the volume of the primitive cell. c) Find the primitive translation vectors of reciprocal lattice. d) Write down the rciprocal lattice vector.
The density of Po is 9.4 g/cm3. Showing your full work, calculate the crystal/unit cell parameter...
The density of Po is 9.4 g/cm3. Showing your full work, calculate the crystal/unit cell parameter (a) of Po
Consider a one-dimensional Bravais lattice with two ions per primitive cell, with N primitive cells in...
Consider a one-dimensional Bravais lattice with two ions per primitive cell, with N primitive cells in total. How many phonon types are there in the lattice
A certain tetragonal crystal has four atoms of the same kind per unit cell, located at...
A certain tetragonal crystal has four atoms of the same kind per unit cell, located at 0,½,¼, ½,0,¼, ½,0,¾, and 0,½,¾, (Do not change axes). a) Derive simplified expressions for F2.b) What is the Bravais lattice of this crystal?c) What are the values of F2 for the 100, 002, 111, and 011 reflections? I need part b in details