Question

Consider a crystal made up of layers of atoms, with rigid coupling between the layers so...

Consider a crystal made up of layers of atoms, with rigid coupling between the layers so that the motion of the atoms is restricted to the plane of each layer. Show that the phonon heat capacity in the Debye approximation in the low temperature limit is proportional to T2.

The material is effectively two-dimensional, so to do so you will need to readdress the form of the density of states

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Consider a crystal made up of layers of atoms, with rigid coupling between the layers so...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Consider a one-dimensional tight binding model of electrons hopping between atoms. Let the distance between atoms be ca...

    Consider a one-dimensional tight binding model of electrons hopping between atoms. Let the distance between atoms be called a, and here let us label the atomic orbital on atom ln) for n-1,..,N (you may assume orthonormality of orbitals, ie., (1m)- nm). n as Suppose there is an on-site energy e and a hopping matrix element -t. In other words, suppose (IH|m) = E for n-m and (1비m)=-t for n=m±1. (a) Derive and sketch the dispersion curve for electrons. (b) How...

  • some context Problem 3: Use simple kinetic theory of gases discussed in section 1.3.2 as well...

    some context Problem 3: Use simple kinetic theory of gases discussed in section 1.3.2 as well as Fourer's law of condustion to prove: 2 R373 D11 = 3113/202pm Dal We were unable to transcribe this imageof a nes. the xed the led negligible The following assumptions about the structure of the cases are made in order to investigate the statistical rules of the random motion of the molecules: The size of the gas molecules is negligible compared with the distance...

  • summatize the following info and break them into differeng key points. write them in yojr own...

    summatize the following info and break them into differeng key points. write them in yojr own words   apartus 6.1 Introduction—The design of a successful hot box appa- ratus is influenced by many factors. Before beginning the design of an apparatus meeting this standard, the designer shall review the discussion on the limitations and accuracy, Section 13, discussions of the energy flows in a hot box, Annex A2, the metering box wall loss flow, Annex A3, and flanking loss, Annex...

  • summarizr the followung info and write them in your own words and break them into different...

    summarizr the followung info and write them in your own words and break them into different key points.   6.5 Metering Chamber: 6.5.1 The minimum size of the metering box is governed by the metering area required to obtain a representative test area for the specimen (see 7.2) and for maintenance of reasonable test accuracy. For example, for specimens incorporating air spaces or stud spaces, the metering area shall span an integral number of spaces (see 5.5). The depth of...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT