the two continuous lattices that carbon can form are found in diamond and graphite
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Two examples of continuous lattices are the lattice of real numbers with the usual order, and the lattice of open sets of a topological space ordered by inclusion. Both of these lattices satisfy the property that any subset with a lower bound has an infimum and any subset with an upper bound has a supremum in the lattice.
14 Bravais lattices are known and 230 space groups.
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there are various ways of placing point in space such that all the points have identical suroundings. these are called Bravais lattices after the scientis Bravais(1848). There are 5 Bravais lattices in 2-D and 14 lattices in 3-D. the five 2-D Bravais lattices are as follows:- 1.oblique 2. square 3. Hexagonal 4. Primitive rectangular 5. Lentred rectangular
Diamond has an octahedral structure, meaning it is composed of two interpenetrating face-centered cubic lattices.
Yes. The nature of an ionic bond is that it is non-directional and therfore compounds form lattices rather than discrete molecules.