Logo
Home Study Material Contact Search
AI Chat FREE
  1. sciences
  2. chemistry
  3. problem 1. consider a crystal with hcp structure,

Problem 1. Consider a crystal with HCP structure, having an ideal c/a ratio. Complete parts (a)-(c)...

90.2K

Verified Solution

Question

Chemistry

Problem 1. Consider a crystal with HCP structure, having anideal c/a ratio. Complete parts (a)-(c) below.

(a) (1.0 pt max) Demonstrate that the ideal c/a ratio equals 26/3.

(b)(0.5 pt max) Find the volumeof one unit cell for a given a value.

(c) (0.5 pt max) Demonstrate thatthe atomic packing factor for this crystal structure is 2/6.

Hints: (a) The c/a ratio isconsidered ideal when the distance from some atom to its nearestneighbors within the same hexagonally-packed layer equals thedistance to its nearest neighbors belonging to a differentlayer.

(b) The volume of a prism is theproduct of the area of its base face and the height. Use the c/aratio found in part (a).

(c) Find the relationship betweenthe lattice constant a and the atomic radius R to calculate the APFvalue. Use the unit cell volume found in part (b)

Answer & Explanation Solved by verified expert
3.7 Ratings (667 Votes)
a The ideal axialratio ca for a hexagonal closepacked crystal structurecan be calculated by considering noninteracting    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Physics
1.2K views

A worker pours 1.250kg of molten lead at a temperature of 327.3 ?C into 0.5050kg of...

Physics
1.2K views

172 Four persons P Q R and S of same mass travel with same speed...

Physics
1.2K views

of projection and B p a are projected simultaneously from the same point with the...

Geometry
1.2K views

Vertices at 0 8 and 0 8 asymptote the line y 2x An equation of...

Basic Math
1.2K views

Find an element of set A that is not an element of set B A...

Basic Math
1.2K views

Find the value of 7C3O 240 210O 35O 5,040

Calculus
1.2K views

atch the variable to its corresponding value 2 10 1 2 4 x 2 y...

Calculus
1.2K views

Find the following derivatives Express your answer in terms of the independent variables 2x 2z...

Accounting
1.2K views

Exercise 4-12 (Algo) Record transactions and adjustments LO 4-2, 4-6, 4-7 Record the effect, if...

Accounting
1.2K views

Under what circumstances would business income from an accounting practice qualify for the deduction for...

Accounting
1.2K views

Calculate the inventory turnover for 2025. A. 4.53 times B. 4.91 times C. 2.88 times...

Accounting
1.2K views

Evaluate the effectiveness of results controls as a control system