Braxton Pugh

2021-09-14

If the atomic radius of lead is 0.175 nm, find the volume of its unit cell in cubic meters

Roosevelt Houghton

Skilled2021-09-15Added 106 answers

Given

We are given the radius of lead atom R= 0.175 nm. We are asked to calculate the volume of the unit cell crystal structure of the lead$V}_{c$ in cubic meters.

Solution

To calculate the volume of the unit cell we should know the crystal structure unit cell shape, where lead has FCC crystal structure (See Table 3.1) on page 54, where the volume of FCC crystal structure is given by equation 3.6 by

${V}_{c}=16{R}^{3}\sqrt{2}\text{}\text{}\text{}\left(1\right)$

Now we can plug the vlaue for R in equation (1) to get$V}_{c$ where R will be in (m)

$V}_{c}=16{R}^{3}\sqrt{2$

$=16{(0.175\times {10}^{-9}m)}^{3}\sqrt{2}$

$=1.21\times {10}^{-28}{m}^{3}$

Result

$V}_{c}=1.21\times {10}^{-28}{m}^{3$

We are given the radius of lead atom R= 0.175 nm. We are asked to calculate the volume of the unit cell crystal structure of the lead

Solution

To calculate the volume of the unit cell we should know the crystal structure unit cell shape, where lead has FCC crystal structure (See Table 3.1) on page 54, where the volume of FCC crystal structure is given by equation 3.6 by

Now we can plug the vlaue for R in equation (1) to get

Result

The distance between the centers of two circles C1 and C2 is equal to 10 cm. The circles have equal radii of 10 cm.

A part of circumference of a circle is called

A. Radius

B. Segment

C. Arc

D. SectorThe perimeter of a basketball court is 108 meters and the length is 6 meters longer than twice the width. What are the length and width?

What are the coordinates of the center and the length of the radius of the circle represented by the equation ${x}^{2}+{y}^{2}-4x+8y+11=0$?

Which of the following pairs of angles are supplementary?

128,62

113,47

154,36

108,72What is the surface area to volume ratio of a sphere?

An angle which measures 89 degrees is a/an _____.

right angle

acute angle

obtuse angle

straight angleHerman drew a 4 sided figure which had only one pair of parallel sides. What could this figure be?

Trapezium

Parallelogram

Square

RectangleWhich quadrilateral has: All sides equal, and opposite angles equal?

Trapezium

Rhombus

Kite

RectangleKaren says every equilateral triangle is acute. Is this true?

Find the number of lines of symmetry of a circle.

A. 0

B. 4

C. 2

D. InfiniteThe endpoints of a diameter of a circle are located at (5,9) and (11, 17). What is the equation of the circle?

What is the number of lines of symmetry in a scalene triangle?

A. 0

B. 1

C. 2

D. 3How many diagonals does a rectangle has?

A quadrilateral whose diagonals are unequal, perpendicular and bisect each other is called a.

A. rhombus

B. trapezium

C. parallelogram