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1、材料科学基础FundamentalofMaterials Lessonsix 2 7SomeImportantCrystallographicFormulas 1 ZoneandzoneequationAllPlanesparelleltocommonaxis uvw constitutea crystal zone the uvw zone If hkl belongstozone uvw thenhu kv lw 02 Ifhu kv lw 0 then uvw liesin hkl 3 Forcubiccrystals hkl hkl 4 Thezone uvw containstwop
2、lanes h1k1l1 and h2k2l2 then 5 Theplane hkl belongstotwozones u1v1w1 and u2v2w2 if 6 Thedistancebetweenadjacentplane interplanardistance d hkl f a b c h k l Fororthorhombic Forcubic Forhexagonalcrystals 7 Thelengthof uvw Forcubic 8 Theangle between h1k1l1 and h2k2l2 Fororthorhombic Forcubic Forhexag
3、onal 9 Theanglebetween u1v1w1 and u2v2w2 Fororthorhombic Forcubic Forhexagonal 10 ThevolumeofunitcellsV 2 8StackingModeofCrystals Acrystalcanbeconsideredastheresultofstackingtheatomiclayers say hkl oneoveranotherinaspecificsequence Forsimplecubic 001 aaaa 110 abab Thissequenceiscalledthestackingorde
4、r ComparisonofstackingmodeofHCPandFCC HCPstackingorder ABABABAB 1 HCP 2 FCC Stackingorderof 111 ABCABCABC Stackingfault ForHCP normalorder ABABAB faultorder ABCABAB ForFCC normalorder ABCABCABC faultorder ABCACABCA ABCACBCABC ABCABABAB ABCACBA Transformationofhexagonaltorhombohedralindicesandviceversa ExamplesandDiscussions Exercise Thankyou 6
