December 23, 2024, 06:29:45 AM
Forum Rules: Read This Before Posting


Topic: packing efficiency  (Read 5222 times)

0 Members and 1 Guest are viewing this topic.

Offline abcc

  • Regular Member
  • ***
  • Posts: 86
  • Mole Snacks: +1/-5
packing efficiency
« on: December 13, 2006, 12:49:00 AM »
How to show that the packing efficiency for a face-centred-cubic lattice is the same as a hexagonal closed pack lattice ???
any suggestions for me?
thx ;)

Offline Yggdrasil

  • Retired Staff
  • Sr. Member
  • *
  • Posts: 3215
  • Mole Snacks: +485/-21
  • Gender: Male
  • Physical Biochemist
Re: packing efficiency
« Reply #1 on: December 13, 2006, 01:34:28 AM »
You can try counting the number of nearest neighbors of an atom in an FCC lattice.

Offline AWK

  • Retired Staff
  • Sr. Member
  • *
  • Posts: 7976
  • Mole Snacks: +555/-93
  • Gender: Male
Re: packing efficiency
« Reply #2 on: December 13, 2006, 02:45:58 AM »
Calculate volumes of both cells, then volume per one atom.
AWK

Offline Dolphinsiu

  • Full Member
  • ****
  • Posts: 349
  • Mole Snacks: +3/-7
  • Gender: Male
Re: packing efficiency
« Reply #3 on: December 15, 2006, 01:49:58 AM »
This is a good question.Thank you!

My past exam paper have this type of questions so I put all my effort on these calculations.
This is not as difficult as you think!

H.C.P.
http://mathworld.wolfram.com/HexagonalClosePacking.html
Supplementary information to calculate the height of H.C.P
http://mathworld.wolfram.com/Tetrahedron.html

F.C.C = C.C.P.
http://mathworld.wolfram.com/CubicClosePacking.html

S.C, B.C.C. and F.C.C.
http://avogadro.chem.iastate.edu/CHEM571/Problems/problem01a.PDF

Sponsored Links