金属学原理1～5

1、CISRICISRISXX1000cossin0sincosRRXX100010001100010001100010001100021230232110002123023211000100011000010101000010101000212302321100021230232110002123023211000212302321100010001100010001100010001221122112211:khkhhlhllklkwvu221122112211:vuvuuwuwwvwvlkh0333222111lkhlkhlkh0333222111wvuwvuwvuWwVUvutUVvVUu

2、wWvuVvuU3/)()(3/)2(3/)2(222222222222sincos2sinsin1abhkclbkahdhkl2/ 1222222222222222/ 1221222121122212212221212212221sinsincos2sin()sinsincos2sin(sinsincos)(sincosclbkabkhahclbkabkhahcl lbkkabkhkhahh2/ 122222222222/ 12212211121221221122121/)3/()( 4/)3/()( 4/)3/(2/ )( 4cosclakkhhclakkhhcl lakkkhkhhh22

3、2222341clahkkhdhkl2222221clakhdhkl22222221clbkahdhkl222221alkhdhkl2/ 1222222222/ 12212212122122121/ )(/ )(/ )(cosclakhclakhcl lakkhh2/ 12222222222/ 1221221221221221221)/()/(/cosclbkahclbkahcl lbkkahh2/ 12222222/ 1212121212121)()(coslkhlkhl lkkhh01bcaccbabcabaccbbaa)(bacV)(bacVVbacVacbVcbaVbacVacbVcb

4、ac lbkahHhklCISRI7404804. 062)62/(46/433333aaad6801747. 083)62/(326/2333333aaad212121212121021212/3a2/2addddad1547. 03/2oct212121212121041212/3a4/5adddddddad2910. 0) 13/5(2/) 13/5(2/)34/(252/4/52/tettet2/3a2121212/2a4141414/3addddad4142. 02oct2/2adddddddad2247. 0) 12/6(2/) 12/6(2/4/232/4/32/tettetNa

5、Cl型碳化物、氮化物的晶体结构金属原子，C原子0.45235nm0.50890nm具有正交点阵的Fe3C型碳化物的晶体点阵0.67433nm具有复杂立方点阵的Cr23C6型碳化物单胞1.0650nm1.108nm具有复杂立方点阵的Fe3W3C(或M6C)型碳化物的晶体点阵单胞 相的晶体结构CISRI%33.970218.06894.620.06894.6%82.230218.077.00218.020.0%67. 20218. 06894. 60218. 020. 0%18.760218. 077. 020. 077. 0温度T0100B组元含量，L+L100温度T0B组元含量，+温度T0B组

6、元含量，+100温度T0B组元含量，100AB(,)Tfw wLLLAB(,)Tfw wLA(0,0)(0,0)TffLB(1,0)(1,0)TffLC(0,1)(0,1)Tff温度TTAL+LTCTBABCAB(,)Tfw wAB(,)TfwwAB(,)TfwwAB(,)Tfw wAB(,)TfwwAB(,)TfwwLLLAB(,)TfwwFe3C+LFe3C+Fe3C+Fe3C+Fe3C+L+Fe3CL+Fe3C+LL+LL+L+Fe3C该线虚拟退化为1个点坐标上面无点坐标下面收敛为1点11nC21nC31nC11nCnn111nnC11nC21nC31nCnnC1121111312111

7、nnnnnnnnCCCCCnnC111nC1nC2nC1nnCnnC0nC0nCnnnnnnnCCCCC232101nC2nC1nnC0nCnnC1nC2nC3nC1nnCnnC12321nnnnnnCCCC12)(12()(21非有效有效nnn112nC212nC212nnC112nnC012nC11nC31nnC21nnC11nnC01nC112nC212nC212nnC312nnC11211211101122)(nnnnnnCCCCCC112nnC01nC11nC21nnC31nnC12211211101222)(nnnnnnCCCCCC11nnC11nC21nC31nC11nnC121

8、22)( 12(2)(2112102102112非有效有效）有效nnnnnCCC12)(10211211102nnnnnCCCCC1213nCC2213nnCC2213nCC0213nCC1223nCC223nnC2223nCC121233nnCCC22nC32nnC122nnC0202233nnCCC0213nCC1213nCC2213nCC3213nnCC2213nnCC21322121202132)(nnnnnnnCCCCCC0223nCC1223nCC3223nnCC2223nnCC22322121202232)(nnnnnnnCCCCCC0233nCC1233nCC3233nnCC2

9、233nnCC23322121202332)(nnnnnnnCCCCCC12nC22nC32nC22nnC12122)( 12)(2(2)(2123203233223213非有效有效有效）有效nnnnnnCCCC12)(20322221203nnnnnCCCCC111mnmCCmnmnmCC111211mnmCC011mnmCCmnmnmCC11112mnmCCmnmnmCC112212mnmCC012mnmCCmnmnmCC12111mnmmCCmnmnmmCC111211mnmmCC011mnmmCCmnmnmmCC1111 mnmmCCmnmnmmCC1121 mnmmCC01 mnmm

10、CCmnmnmmCC1011mnmCC111mnmCC211mnmCCmnmnmCC11mnmnmCC111mnmmnmnmnmnmnmnmCCCCCC11111110112)(012mnmCC112mnmCCmnmnmCC12mnmnmCC112mnmmnmnmnmnmnmnmCCCCCC12111110122)(011mnmmCC111mnmmCCmnmnmmCC11mnmnmmCC111mnmmmnmnmnmnmnmnmmCCCCCC11111110112)(01 mnmmCC11 mnmmCCmnmnmmCC1mnmnmmCC11mnmmmnmnmnmnmnmnmmCCCCCC1111

11、11012)(11 mnC21 mnC31 mnCmnmnC11mnmmnmnmnmnmnmnmCCCCCC10111110102)(12122122)(11101121nmnmmnmmnmmmmmmCCCCC)(S21mmmnD)(S21mmm)(S21mmm)(S21mmmAAAAAAlnlnlnGRTaGRTxRTBBBBBBlnlnlnGRTaGRTxRTAxBxMAABBAABB(lnln)Gx Gx GRT xaxaAB1MAABBAABBAAABAAAA(lnln)(1)ln(1)ln(1)Gx Gx GRT xxxxx Gx GRT xxxxAxxBAGBGABAABBx Gx

12、 GAAABAAAA(1)ln(1)ln(1)x Gx GRT xxxxEMAABB()(lnln)GRT xxAxEMMAAABAAAA()(1)ln(1)ln(1)GGx Gx GRT xxxxEMMMM()exp()GGGxRT0GEMMMM()lnGGGGRTxBlg/wA B TMexp()exp()baTabxRTRRTlg/MA B Tlg /MCAB Tlg /MCA B T MCMMACCA 0.0692.90640.112.011NbC 0.00708592.90640.0931612.011NbCCISRIkC11niikkkJDC ikD0iiCJt11()niikkk

13、CDCt121)niikkkCDCtAAAJDCBBBJDCB0 x 0AABBAAA()Jx Dx DCD C ABBAD x Dx DBDD*D211()erfc()22CCxCCDt2( , )exp()42MxC x tDtDt2exp()d42MxxMDtDt221()erf()2xC CCCDt2xDt216Ddmmmexp()exp()exp()GSHZPZPZPkTkkT fffVexp()exp()exp()GSHPxkTkkT0exp()QDDkT2m0m1exp(),6SDd ZQHk 2fm0fm1exp(),6SSDd ZQHHkCISRIfexp()HCAkT101

14、084. 151018. 121210/m101021615/m101026/m100222222xyzzyyxxyzxzyxxGbyxyGb0)()()1 (2)()()()1 (2)()3()1 (2222222222222222yzxzxyyyxxzzyyxxyxyxxGbyxyxyGbyxyxyGb)(ln)1 (422222rRrRrRGb)(ln422222rRrRrRGbGb241()42Gb)2(ln)1 (42222rRrrRGb)2(ln42222rRrrRGb)4exp(12PbG)1 (2dPPPcoscosMRbb反应前反应后22bb反应前反应后1102a100a1126a110211121266aaa 2022 cos2(1)812Gbd222 cos2(1)812GbFd11203a10103a112010100110333aaa