Crystal Lattice Structures: Density Calculation 2

Crystal Lattice Structures: Density Calculation 2

Assessment

Interactive Video

Science, Physics

University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to calculate the radius of an element given its unit cell length in a face-centered cubic lattice. It covers the concepts of unit cell length, volume, and density, and demonstrates the calculation using a specific formula. The tutorial emphasizes the importance of using the correct denominator expression and provides a step-by-step guide to finding the radius, ensuring the result is reasonable.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the unit cell length of the element mentioned in the problem?

7.21 angstroms

6.21 angstroms

5.21 angstroms

4.21 angstroms

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a face-centered cubic lattice, what is the relationship between the unit cell length and the radius?

A naught = 2√2r

A naught = 4r

A naught = 3r

A naught = 2r

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to calculate the radius of the element from the unit cell length?

r = A naught / 2

r = A naught / 3

r = A naught / 2^(3/2)

r = A naught / 2√2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate radius of the element calculated in the video?

2.84 angstroms

3.84 angstroms

1.84 angstroms

4.84 angstroms

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to check the reasonableness of the calculated radius?

To confirm the type of lattice

To check the accuracy of the density formula

To verify the unit cell length

To ensure it is not too small or too large compared to typical atomic radii

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