Understanding the Hard Sphere Model of Crystallography

In summary, C Hammond's "Basics of Crystallography and Diffraction" discusses the hard sphere model in the first chapter. The author explains that there are no known examples of elements with this structure because the atoms in the second layer tend to slip into the "hollows" or interstices between the atoms in the layer below. This is also supported by energy considerations, as layers of atoms stacked in a "close packed" way have the lowest energy and are therefore the most stable. The statement about electron orbital considerations suggests that while directional bonds may determine the geometry of a molecule, they are not as important in crystals of single elements, making the hard sphere model applicable.
  • #1
Poliona
1
0
I am currently studying C Hammond's "Basics of Crystallography and Diffraction" (third ed.). In the first chapter ,concerning hard sphere model, I have found the following statement:
There are, in fact, no examples of elements with this structure because, as the model building shows,the atoms in the second layer tend to slip into the ‘hollows’ or interstices between the atoms in the layer below. This also accords with energy considerations: unless electron orbital considerations predominate,layers of atoms stacked in this ‘close packed’ way generally have the lowest (free) energy and are therefore most stable.

I cannot make sense of what he meant by "unless electron orbital considerations predominate" and I'd be thankful if someone could provide me with an explanation.
 
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  • #2
I think it is suggesting that while the geometry of a molecule may be determined by directional bonds, that these are not important within crystals of single elements, so the hard sphere model is applicable.
 

1. What is the hard sphere model of crystallography?

The hard sphere model of crystallography is a simplified representation of the atomic arrangement in a crystal. It assumes that the atoms in a crystal are hard spheres with no internal structure, and that they are arranged in a regular, repeating pattern.

2. How does the hard sphere model help us understand crystals?

The hard sphere model allows us to visualize and analyze the structure of a crystal in a simpler and more systematic way. By assuming that the atoms are hard spheres, we can determine their relative positions and the overall symmetry of the crystal lattice. This information is crucial for understanding the physical and chemical properties of crystals.

3. What are the limitations of the hard sphere model?

The hard sphere model is a simplified representation of the atomic arrangement in crystals and does not take into account the actual shape and internal structure of atoms. It also does not consider the presence of defects or impurities in the crystal lattice, which can affect its properties.

4. How is the hard sphere model used in crystallography research?

The hard sphere model is used in crystallography research to predict and analyze the properties of crystals. It is also used in computer simulations to study the behavior of materials at the atomic level and to design new materials with specific properties.

5. Can the hard sphere model be applied to all types of crystals?

No, the hard sphere model is limited to crystals composed of spherical atoms. It cannot be applied to crystals with non-spherical or complex-shaped atoms, such as proteins or polymers. In these cases, more sophisticated models are needed to describe the crystal structure.

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