Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

how much fraction of area of one face is covered by carbon atoms in diamond

how much fraction of area of one face is covered by carbon  atoms in diamond

Grade:12

1 Answers

Gaurav
askIITians Faculty 164 Points
5 years ago
Diamond has FCC structure
For FCC crystal



Let ‘r’ be the radius of sphere and ‘a’ be the edge length of the cube

As there are 4 sphere in fcc unit cell

∴Volume of four spheres = 4 (4/3πr3)

In fcc, the corner spheres are in touch with the face centred sphere. Therefore, face diagonal AD is equal to four times the radius of sphere

AC= 4r
But from the right angled triangle ACDAC = √AD2+ DC2=√a2+a2=√2a

4r = √2a

or a = 4/√2 r
Packng Fraction = 75%

∴volume of cube = (2/√2 r)3

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free