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Surface Energy of Miller Index Cross Sections

  1. Jan 29, 2009 #1
    ℽ = ½Nbερa
    ℽ = surface energy
    Nb = number of broken bonds
    ε = bond strength
    ρa = surface atomic density

    {100} = (½)( 2 / a2 )(4)(ε)

    {110} = ( 5 / sqrt(2) )( ε / a2 )

    {111} = (2sqrt(3))( ε / a2 )

    the supplemental picture shows a cube with atoms at each corner and one atom in the middle of each facet of the full cube. the description for {100} says there are four broken chemical bonds, but what about the fifth atom in the center? for {110} is says there are five and for {111} it says three. WHAT?? if you picture the {110} it looks like 6 bonds are broken and for {111} it looks like five to me, am I hallucinating??
    here is a link to make it easier to picture the sections: http://en.wikipedia.org/wiki/Miller_index" [Broken]

    Last edited by a moderator: May 3, 2017
  2. jcsd
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