Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 5: Problem 10

If in a crystal intercepts are \(1, \infty\) and \(\infty\), the Millar indices are: (a) (100) (b) \((101)\) (c) (110) (d) (000)

Short Answer

Expert verified
The Miller Indices for the given intercepts (1, ∞, ∞) are (100). Therefore, option (a) is the correct one.

Step by step solution

01

Understand the concept of Miller Indices

Miller Indices are a notation system in crystallography for planes and directions in crystal lattices. In particular, a family of lattice planes is determined by three integers, the Miller Indices. They are written \( (hkl) \), and each index denotes a scalar reciprocal of an intercept of a plane with a unit cell's axes.
02

Reciprocate the intercepts

Reciprocals of the intersect points are taken. Here the intercepts are given as (1, ∞, ∞). When we reciprocate these values, we get (1, 0, 0) as the reciprocal of the intercepts. The reciprocal of ∞ is 0 because any finite number divided by infinite is almost negligible or zero.
03

Determine the Miller Indices

Once the reciprocals are obtained, these are the Miller Indices of the plane intersecting the crystal. Therefore, the Miller Indices for the given intercepts (1, ∞, ∞) are (100).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Radius ratio \(r_{\mathrm{Na}}+/ r_{\mathrm{C} 1}^{-}\) in \(\mathrm{NaCl}\) crystal is a) \(0.524\) b) \(0.414\) c) \(0.732\) d) \(0.80\)

If a plane is parallel to an axis of crystal its Miller index will be: (a) zero (b) infinity (c) one (d) none

Millar indices in a crystal indicate (a) designation of plane crystals (b) intercepts of plane on \(\mathrm{X}\) -axis (c) reciprocals of fractional intercepts of that plane on various axes (c) none

The number of atoms per unit cell in simple cubic, face-centred cubic and body-centred cubic are: a) \(1,4,2\) b) \(4,1,2\) (c) \(2,4,1\) (d) 4, 8, 2

Total number of planes, axes and centre of symmetries in a crystal is termed as a) elements of symmetry (b) symmetries c) symmetry operations
See all solutions

Recommended explanations on Chemistry Textbooks

Chemistry Branches

Read Explanation

Organic Chemistry

Read Explanation

Kinetics

Read Explanation

Nuclear Chemistry

Read Explanation

Chemical Analysis

Read Explanation

Ionic and Molecular Compounds

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free