Dissemination of IT for the Promotion of Materials Science (DoITPoMS)

DoITPoMS Teaching & Learning Packages Reciprocal Space Questions
Reciprocal Space AimsBefore you startIntroductionReciprocal spaceMathematical representation of reciprocal latticeEwald sphereApplications of reciprocal spaceSummaryQuestionsGoing further
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Questions

Quick questions

You should be able to answer these questions without too much difficulty after studying this TLP. If not, then you should go through it again!

  1. What does a point in reciprocal space correspond to in real space?

    a A lattice point
    b A plane
    c A lattice vector
    d A unit cell

Open-ended questions

The following questions are not provided with answers, but intended to provide food for thought and points for further discussion with other students and teachers.

  1. Use this Ewald Sphere to find the angle at which a (2 0 0) plane will satisfy the Bragg condition for this lattice and wavelength. (Assume that it is a primitive lattice):

Deeper questions

The following questions require some thought and reaching the answer may require you to think beyond the contents of this TLP.

  1. What is the reciprocal lattice of a reciprocal lattice?

  2. What is the reciprocal Bravais lattice of an FCC lattice?

  3. What are the reciprocal lattice vectors of a lattice with , and ?

  4. On the (105) maps below what are the in- and out-of-plane reciprocal space coordinates for the films? Try to convert them into real space cell parameters. (As shown previously c is out-of-plane and both films have hexagonal unit cells).

    AlxGa(1-x)N
    InxGa(1-x)N

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