Surface reconstructions of lattices

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Why does gold have a surface reconstruction but graphite does not?

The Au(111) crystal, when cut, reorganizes at the surface to minimize tensile stress and energy. Why doesn't graphite do this?
 
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Bonding in graphite would be sigma bonds, plus delocalized pi bonds... I'm not sure about gold (1,1,1). The electron configuration for Au is [Xe] 4f14 5d10 6s1 so the s orbitals rather than the d orbitals participate in bonding - right? - so they form sigma bonds only? Or do you use a different model for transition metal elements? I'm really not sure how to think about this...