World's only instant tutoring platform
dropdown-logo
Get 2 FREE Instant-Explanations on Filo with code FILOAPP
Question

In hexagonal systems of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space-filling model of this structure called hexagonal close-packed (HCP), is constituted of a sphere on a flat surface surrounded in the same plane by six identical spheres as closely as possible. Three spheres are then placed over the first layer so that they touch each spheres of the bottom layer. Finally, the second layer is covered with a third layer that is identical to the bottom layer in relative position. Assume radius of every sphere to be 'r'.
The Volume of this HCP unit cell is

tutor 0tutor 1tutor 2
Found 3 tutors discussing this question
Discuss this question LIVE
10 mins ago
Video Solution

Filo tutor solution

Learn from their 1-to-1 discussion with Filo tutors.

Solution Available
Generate FREE solution for this question from our expert tutors in next 60 seconds
Don't let anything interrupt your homework or exam prep with world’s only instant-tutoring, available 24x7
One destination for complete JEE/NEET preparation
One destination to cover all your homework and assignment needs
Learn Practice Revision Succeed
Instant 1:1 help, 24x7
Instant 1:1 help, 24x7
60, 000+ Expert tutors
60, 000+ Expert tutors
Textbook solutions
Textbook solutions
Big idea maths, McGraw-Hill Education etc
Big idea maths, McGraw-Hill Education etc
Essay review
Essay review
Get expert feedback on your essay
Get expert feedback on your essay
Schedule classes
Schedule classes
High dosage tutoring from Dedicated 3 experts
High dosage tutoring from Dedicated 3 experts
Trusted by 4 million+ students
filo Logo
Doubt Icon Doubt Icon

Stuck on the question or explanation?

Connect with our all tutors online and get step by step solution of this question.

231 students are taking LIVE classes
Question Text
In hexagonal systems of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space-filling model of this structure called hexagonal close-packed (HCP), is constituted of a sphere on a flat surface surrounded in the same plane by six identical spheres as closely as possible. Three spheres are then placed over the first layer so that they touch each spheres of the bottom layer. Finally, the second layer is covered with a third layer that is identical to the bottom layer in relative position. Assume radius of every sphere to be 'r'.
The Volume of this HCP unit cell is