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3.091 – Introduction to Solid State Chemistry Lecture Notes No. 6 ...

3.091 – Introduction to Solid State Chemistry Lecture Notes No. 6 ...

3.091 – Introduction to Solid State Chemistry Lecture Notes No. 6 ...

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LN–6k = the Boltzmann constant A = proportionality constant B. Point Defects in “Pure” Metallic SystemsPoint defects in “pure” crystalline metals are defects of a<strong>to</strong>mic dimensions, such asimpurity a<strong>to</strong>ms, the absence of a matrix a<strong>to</strong>m and/or the presence of a matrix a<strong>to</strong>m inthe wrong place. Some of these point defects are shown in fig. 2. An impurity a<strong>to</strong>m thatsubstitutionaloccupies a normal latticesite is called ainterstitialsubstitutional impuritya<strong>to</strong>m and an impuritya<strong>to</strong>m found in thevacancyselfinterstitialinterstice between matrixa<strong>to</strong>ms is called aninterstitial impurity a<strong>to</strong>m.Whether a foreign a<strong>to</strong>mFigure 2 Point defects in crystalline solidswill occupy a substitutionalor interstitial site depends largely on the size of the a<strong>to</strong>m relative <strong>to</strong> the size of the site.Small a<strong>to</strong>ms are usually interstitial impurities, while larger a<strong>to</strong>ms are usuallysubstitutional impurities.A vacancy is an a<strong>to</strong>m site, normally occupied in the perfect crystal, from which an a<strong>to</strong>mis missing. Often the term “vacancy” is used <strong>to</strong> denote a so-called Schottky defect,which is formed when an a<strong>to</strong>m or an ion leaves a normal lattice site and repositionsitself in a lattice site on the surface of the crystal. This may be the result of a<strong>to</strong>micrearrangement in an existing crystal at a high temperature when a<strong>to</strong>mic mobility is highbecause of increased thermal vibrations. A vacancy may also originate in the process5

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