Who Can Help with Solid State Physics Problems?

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SUMMARY

This discussion focuses on solving solid state physics problems, specifically regarding Bravais lattices, atomic densities of elements like Al, Fe, Zn, and Si, packing ratios in various crystal structures, and sketching planes and directions in cubic unit cells. The primitive basis vectors provided are a=(a/2)(i+j), b=(a/2)(j+k), and c=(a/2)(k+i). Participants are encouraged to share their thoughts and difficulties, particularly in calculating densities and understanding Miller indices for cubic structures.

PREREQUISITES
  • Understanding of primitive basis vectors in solid state physics
  • Knowledge of atomic weights and density calculations
  • Familiarity with packing ratios in crystal structures
  • Ability to sketch cubic unit cells and determine Miller indices
NEXT STEPS
  • Research Bravais lattices and their classification
  • Learn how to calculate densities of solids using atomic weights
  • Study packing ratios for simple cubic, body-centered cubic, and face-centered cubic structures
  • Explore the process of determining Miller indices for crystallographic planes
USEFUL FOR

Students and professionals in materials science, solid state physics, and crystallography who seek to deepen their understanding of crystal structures and related calculations.

joori
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Please ,Can some body help me ??

hello members,

I have some question ... I need some body help me to solve them in solid state physics...

1) Given that the primitive basis vectors of a lattice are a=(a/2)(i+j),b=(a/2)(j+k),and c=(a/2)(k+i),where i,jand k are the usual three unit vectors along cartesian coordinates, what is the Bravais lattice?

2)caculate the densities of the following solids:Al,Fe, Zn,and Si, whose atomic weights are respectively 26.98,55.85,65.37, and28.09.?

3)the packing ratio is defined as the fraction of the total volume of the cell that is filled by atoms. Determine the the maximum value of this ratio for equal sphares located at the points of simple -cubic, body-centered-cubic, and face-centered-cubic crystals??


4) Sketch the following planes and directions in a cubic unit cell:(122),[122],(112),[112]??
 
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2) Do you have an equation for this?? Your book should give you the equation and it's just a 'plug in the values' sort of question. Post what you think needs to be known to at least approach this question.

3) Again post your thoughts on this. Can you tell me how many atoms are in a simple cubic, BCC or FCC structure? (This is just one of the variables you need to know).

4) Host an image at http://imageshack.us/ of what you've attempted and let me know your difficulties. Maybe draw them by hand and scan an image onto your computer and host the image or draw an image on your computer and host it.

Start by drawing your axes (x, y and z) and then draw the unit cell on these axis. I'm sure your book tells you the procedure to follow for determining the Miller indices of planes, which will allow you to draw your diagrams.

When you post some additional thoughts I will gladly help you more. I don't mean to sound like an ass, but those are the rules. I understand that some questions you might be completely lost on, but you can at least point out what is stumping you exactly and even some basic concept behind the question.
 

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