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Atomic spacing

From Wikipedia, the free encyclopedia
Distance between two nucleus
(Top) Diamondcrystal structure, depicting an atomic spacing of 0.154 nm. (Bottom) Graphite crystal structure, depicting an atomic spacing of 0.142 nm.

Atomic spacing refers to the distance between thenuclei ofatoms in a material. This space is extremely large compared to thesize of theatomic nucleus, and is related to thechemical bonds which bind atoms together.[1] In solid materials, the atomic spacing is described by thebond lengths of its atoms. In ordered solids, the atomic spacing between two bonded atoms is generally around a fewångströms (Å), which is on the order of 10−10 meters (seeLattice constant). However, in very low density gases (for example, inouter space) the average distance between atoms can be as large as ameter. In this case, the atomic spacing is not referring to bond length.

The atomic spacing of crystalline structures is usually determined by passing anelectromagnetic wave of knownfrequency through the material, and using the laws ofdiffraction to determine its atomic spacing. The atomic spacing ofamorphous materials (such asglass) varies substantially between different pairs of atoms, therefore diffraction cannot be used to accurately determine atomic spacing. In this case, the average bond length is a common way of expressing the distance between its atoms.[citation needed]

Example

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Bond length can be determined between different elements in molecules by using theatomic radii of the atoms.Carbon bonds with itself to form two covalent network solids.[2]Diamond's C-C bond has a distance of3a40.154 nm{\displaystyle {\frac {{\sqrt {3}}a}{4}}\approx 0.154\ {\text{nm}}} away from each carbon sinceadiamond0.357 nm{\displaystyle a_{\text{diamond}}\approx 0.357\ {\text{nm}}}, whilegraphite's C-C bond has a distance ofa30.142 nm{\displaystyle {\frac {a}{\sqrt {3}}}\approx 0.142\ {\text{nm}}} away from each carbon sinceagraphite0.246 nm{\displaystyle a_{\text{graphite}}\approx 0.246\ {\text{nm}}}. Although both bonds are between the same pair of elements they can have different bond lengths.[3]

References

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  1. ^Kittel, Charles (2004-11-11).Introduction to Solid State Physics (8th ed.). Wiley.ISBN 047141526X.
  2. ^Rossi, Miriam."How can graphite and diamond be so different if they are both composed of pure carbon?".Scientific American. Scientific American. RetrievedOctober 9, 2007.
  3. ^Brown; Lemay; Bursten (1997).Chemistry the Central Science. Upper Saddle River, NJ: Simon and Schuster. pp. 412–413.
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