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2 ,

3 Mopac2000lite, Gaussian Moapc2000lite Gaussian98 2

4 Mopac (5,5) Gaussian (3,3) MOPAC2000lite(UNIX) MOPAC MOPAC GAUSSIAN

5 2.2.1 GAUSSIAN Mopac C70 C C C70 C GAUSSIAN A 39 A.1 Mopac2000lite A A A.4 Mopac2000lite A.5 Gaussian

6 1 ( ) [1] Physical Properties of Carbon Nanotubes (R.Saito Gene Dresslhaus and M.S.Dresselhaus Imperial College Pres)[2] 1.1 ( ) 0.5nm 10nm 1m 1300cm cm 01 Tang (3,3) (SWNT) Mopac 1

7 NEC, SWNT MWNT IBM (a) (SWNT)( ) (b) (MWNT)( 2 ) (c) ( ) (e) ( ) (d) ( C

8 (a) (b) (c) (d) (e) /home2/students/zhou/texxp/eps/base/swnt.ps 2 /home2/students/zhou/texxp/eps/base/ireko.ps 3 /home2/students/zhou/texxp/eps/base/y ps 4 /home2/students/zhou/texxp/eps/wire.ps 5 /home2/students/zhou/texxp/eps/base/c ps

9 O θ F E C h =(n,m) (a) D B T C a2 a1 O θ C h A (b) ( ( (1997) ) ( ) OB AC a 1,a 2 C h = na 1 + ma 2 =(n; m); (n; m ; 0 < jmj <n) (1.1) a 1,a 2 a c0c a=ja 1 j=ja 2 j= p 3a c0c L jc h j 1(a) jc h j =(n; m) OF = na,fd = ma 6 EFD = =3 FE = ma=2 ED = p 3ma=2 jc h j = L = p p OE 2 + ED 2 = a n 2 + m 2 + nm (1.2) 6 /home2/students/zhou/texxp/eps/base/sotu1.eps

10 1 5 d t d t = L a 1 jc h j (b) tan =ED=OE 6 p 3m =tan 01 2n + m (1.3) 1.2(b) OB AC C h =(n; 0) zigzag C h =(n; n) arm-chair arm-chair ( ) zigzag ( ) (b) O C h O B OB T T a 1 a 2 T = t 1 a 1 + t 2 a 2 =(t 1 ;t 2 )( t 1 ;t 2 ) (1.4) t 1,t 2 C h T C h T t 1 = 2m + n ; t 2 = 0 2n + m (d R (2m + n) (2n + m) ); (1.5) d R d R 1.2(b) C h T OABC 7 /home2/students/zhou/texxp/eps/base/armchair.eps 8 /home2/students/zhou/texxp/eps/base/zigzag.eps

11 1 6 N jc h Tj 1 (ja 1 a 2 j) N =2 (n2 + m 2 + nm) d R (1.6) 2N 1.4 (Mopac, Gaussian) Mopac (5,5) Mopac C60 (5,5) 5,5 C VHDL

12 Gaussian (3,3) Mopac (3,3) Gaussian Gaussian Tang (3,3) 1.5 Mopac Gaussian

13 2 (5,5) Mopac (3,3) Gaussian 2.1 MOPAC2000lite(UNIX) MOPAC Mopac2000lite ab initio 4 MINDO/3(Modied Intermediate Neglect of Dierential Overlap) MNDO (Modied Neglect of Diatomic Overlap) AM1(Austin Model 1) PM3 (Parametric Method 3) NDDO (Neglect of Diatomic Dierential Overlap) MOPAC93 2 PM3 Mopac Gaussian98 Hartree Fock 10% 8

14 2 9 Gaussian Mopac Mopac lename.dat.dat Z-matrix Z-matrix i j k ` i (a)j r(a ) (b) i j k ( ) (c) i j k j k ` 2 ( ) l j r θ i ψ k 2.1: ( (1998) ) 1 SYMMETRY T=1.0D NOINTER GNORM=0.01 PM3 CH4 UHF SHIFT=1.0 PULAY C H H H H /home2/students/zhou/texxp/eps/base/ijkl.eps

15 MOPAC Mopac PM3 PM3 SYMMETRY GNORM=n n PULAY SCF Pulay SHIFT=n SCF 10 ITRY SCF 2000 T=n 14.0D(2 ) UHF RHF ( )

16 2 11 GEO-OK 2.1.4, Z (1) (2) (3) (4) (3)(4) 2.2: 2 /home2/students/zhou/texxp/eps/dummy.ps 2

17 XX XX C C C C C C C C C C XX XX C C C C C C C C C C C60 C70 C C70 C60 C60 C70

18 : ( ) C70( ) GNORM 0.1,, 2.4 Z-matrix) Mopac Z-matrix GNORM : 5 2.5: 3 /home2/students/zhou/texxp/eps/fullerene.ps 4 /home2/students/zhou/texxp/eps/c70-c75/c70dummy.ps 5 /home2/students/zhou/texxp/eps/nocaptube.ps 6 /home2/students/zhou/texxp/eps/c70-cap.ps 6

19 : 7 C C60 (5,5) wire.f zhou/bin Gradient Norm /home2/students/zhou/texxp/eps/c210.ps

20 : 8 Mopac le.arc GNORM 0.01, C90 PM3 SYMMETRY ITRY=2000 T=14.0D GNORM=0.01 Stretch C60 ->C90coodrdinates XX XX C C C C C C /home2/students/zhou/texxp/eps/bane1.ps

21 2 16 C C C C XX XX C C C90 1: PM3 SYMMETRY PULAY ITRY=2000 T=14.0D 2: PM3 SYMMETRY PULAY ITRY=2000 T=14.0D GNORM=0.01 ITRY SCF T GNORM 0.5 PRECISE 100 C170 1: PM3 SYMMETRY PULAY ITRY=2000 T=14.0D PRECISE 2: PM3 SYMMETRY PULAY ITRY=2000 T=14.0D GNORM=0.01

22 2 17 Mopac 2 SHFIT C210 C70 ( ), : C : C110 9 /home2/students/zhou/texxp/eps/c70.ps 10 /home2/students/zhou/texxp/eps/c110.ps 10

23 : C FORCE FORCE Gradient norm 0.01 Mopac Z-matrix Gradient norm 0.01 FORCE XYZ Gradient norm Gradient norm 0.01 mopac2000lite2vib outputle ( A.1 2N-6 Mopac2000lite 1000 (5,5) (3,3) SCIENCE OF FULLERENE AND CARBON NANOTUBE Academic Press 11 /home2/students/zhou/texxp/eps/c210.ps

24 C : : 13 Mopac ( ) C /home2/students/zhou/texxp/eps/wireout.ps 13 /home2/students/zhou/texxp/eps/c210wire.ps

25 ( A.2 zhou/bin/mimizu.f (5,5) (Z-matrix) { m mimizu.dat ( A.3 zhou/bin/wire.f (5,5) (Zmatrix) m, n wire.dat ( A.1 zhou/bin/mopac2000lite2vib.c Mopac UNIX mopac2000lite.exe Mopac format Windows VisualC6++ XMOL

26 2 21 Mopac output ( c90-cycle2 ) n amp(10-40 ) animation vector (3n-6 ) zhou/bin/mopac2inf.c Mopac UNIX mopac2000lite.exe Mopac grep FREQ grep T-DIPO Freq T-DIPO lename.inf(xmgr ) infrared.sh mopac2inf./c70/c70.dip mopac2inf./c90/c90.dip mopac2inf./c110/c110.dip mopac2inf./c130/c130.dip mopac2inf./c150/c150.dip mopac2inf./c170/c170.dip mopac2inf./c190/c190.dip mopac2inf./c210/c210.dip getinfo.sh grep CPU./c70/* >./c70/c70.cputime grep CPU./c90/* >./c90/c90.cputime grep CPU./c110/* >./c110/c110.cputime grep CPU./c130/* >./c130/c130.cputime grep CPU./c150/* >./c150/c150.cputime grep CPU./c170/* >./c170/c170.cputime grep CPU./c190/* >./c190/c190.cputime grep CPU./c210/* >./c210/c210.cputime grep MEM./c70/* >./c70/c70.mem grep MEM./c90/* >./c90/c90.mem grep MEM./c110/* >./c110/c110.mem grep MEM./c130/* >./c130/c130.mem grep MEM./c150/* >./c150/c150.mem

27 2 22 grep MEM./c170/* grep MEM./c190/* grep MEM./c210/* >./c170/c170.mem >./c190/c190.mem >./c210/c210.mem

28 GAUSSIAN GAUSSIAN98 Gaussian Gaussian98 Gaussian Gaussian Hartree-Fork B3LYP Moller-Plesset MP2 CASSCF Hartree-Fork GAUS- SIAN Mopac Hartree Fork Mopac 10% 20% Hartree-Fork Gaussian98 Mopac2000lite 3 3 Mopac XYZ Gaussian babel -ixyz 0303.xyz -ozmat 0303.com

29 com Gaussian babel Mopac Z-matrix XYZ.out XYZ Mopac PM3 1SCF PRECISE AIGOUT SCF.out XYZ Gaussian98 Opt+Fre SCF tight %chk=2bai40mopt.chk %nproc=1 %mem=40mw # opt=(calcfc,tight) freq=noraman rhf scf=tight chk mem opt raman freq scf=tight

30 3 3.1 Mopac C70 C : C70 C /home2/students/zhou/texxp/eps/c70-c210/c70.ps 2 /home2/students/zhou/texxp/eps/xmgr/c70ir.ps 25

31 : C90

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