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- れいな そめや
- 5 years ago
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Transcription
1
2 i
3 Al 47 SEM EPMATEMXRFXRD EPMA ( 50A EPMA-8705 EPMA1500) EPMA EPMA Al Al i
4 EPMA 14 ii
5 iii
6 iv
7 v
8 vi
9 Incidence electrons Photon X-ray Secondary electron Backscattered electron Specimen Spie Electron passed through the specimen Specimen current 1
10 2
11 3
12 4
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17 9
18 10
19 Incident electron X 90 0 S 0 Y S 3 0 3, 3 (X1,Y1,Z1) (X3,Y3,Z3) S 1 S 2 1, 1 (X2,Y2,Z2) 2,2 Z 11
20 12
21 2π 0 0 ω P( ω)sinω ωdϕ 13
22 14
23 15
24 16
25 17
26 Sample 18
27 A D C 19
28 X Electron Crystal Particle X-ray Detector L I Z J F C A1,A2,A3 M K G Z5 D H B A4 Z4 Z 3 Z 2 E (Aluminum ) Cross sectional view N2 particle Detector N1 XXX 0 XX A1, A4 YY E,H,J,K,L,M BB 0 A3, A4 B,C,D,F,G,I YYY N3 N4 (Aluminum) A2, A4 Plane view 20
29 (Z1 Z) N1,N3,A1,A2 Z1 Z Start N N Y Y1 YY and Y1 YYY X1 XX and X1 XXX Y Y N X1 XX Y1 YY and Y1 YYY (Z1 Z) A3 N2,N4 Y N N Y L Z1 Z5 Z3 Z1 Z2 Y Y N N J I,F C X1 XX and X1 XXX Y1 YY and Y1 YYY (Z1 Z) Y1 YY and Y1 YYY Y Y (Z1 Z) Z3 Z1 Z2 N N N1,N3,A4 N2,N4 E N Y Y Z1 Z2 N B Y Z4 Z1 Z3 Y N N H D Z3 Z1 Z2 Z5 Z1 Z4 N Y N N M Y G K 21
30 Electron X-ray XXX XX 52.5 Particle Z L2 P (X1,Y1,Z1) L1 Matrix 22
31 Electron XXX XX 52.5 L2 Z L2 P (X1,Y1,Z1) Particle P (X1,Y1,Z1) Matrix 23
32 Electron X-ray XXX L XX L2 Z Particle P (X1,Y1,Z1) Matrix 24
33 Electron XX X-ray XXX Particle Z P(X1,Y1,Z1) P (X1,Y1,Y1) Matrix L1 25
34 Electron XXX 0 XX X-ray 52.5 L1 Z Particle L2 P (X1,Y1,Z1) Matrix 26
35 Electron X-ray XXX 0 XX 52.5 Particle Z L2 L1 L3 P (X1,Y1,Z1) Matrix 27
36 28
37 P0(X0, Y0, Z0) P1(X1, Y1, Z1) S S S1 S2 29
38 P0 Y Electron Y0 XXX 0 X0 XX X1 P0(X0,Y0,Z0) X S1 S S2 P1(X1,Y1,Z1) Z Matrix 30
39 31
40 32
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83 75
84 Al 3 Fe Al 3 Fe(3%Si) Al 6 Fe Al 6 Fe(1%Si) α-alfesi β-alfesi 76
85 I Si Al 3 Fe(3% Si) Al 6 Fe(1%Si) α-alfesiβ-alfesi 77
86 I Si Al 3 Fe(3%Si) Al 6 Fe(1%Si) α-alfesiβ-alfesi 78
87 I Al Al 3 Fe Al 3 Fe(3%Si) Al 6 Fe Al 6 Fe(1%Si)
88 Start N I Fe Matrix Y I si Matrix Y I Fe/I si 10 N I Fe/I si 4 N β -AlFeSi Y Y α -AlFeSi I Fe/I Al 0.4 N Al 6Fe Y Al 3Fe 80
89 81
90 82
91 200m 83
92 200m 84
93 85
94 86
95 87
96 Ratio(%) XRD 20 0 as cast 5602hrs 5802hrs 6002hrs 88
97 89
98 90
99 91
100 92
101 93
102 94
103 95
104 Lower BG(23.467) Peak(23.644) X-ray intensity Upper BG (24.000) 96
105 97
106 98
107 99
108 100
109 101
110 102
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139 131
140 10 'file name "MCSP(matrix 1 atom)" ' 20 CONSOLE,,0,1 30 CLS 3 40 NN=0 :KK=0 50 PRINT TAB(10)"Measuring condition" 60 INPUT "How many atoms in compound?(3 or 2 or 1)";HMA 70 IF HMA=3 THEN CC=1 ::CB=1:GOTO IF HMA=2 THEN CC=0 :AC=1:CB=1:GOTO IF HMA=1 THEN CB=0 :CC=0:AB=1:AC=1 100 INPUT "acceleration voltage(kv)=";e INPUT "incident angle of electron(0<=angle<90 degree)=";p P9=3.1416/180*P INPUT "incident electron number=";kn 140 INPUT"simyulatin of max scale(2 or 1)=";MAX 150 PRINT " " 160 PRINT TAB(10)"Measuring condition" 170 INPUT "componud density=(1)";ds 180 INPUT "matrix?(y or n)";n$ 190 IF N$="N" THEN MXNO=1:AMM=10:ZMM=10:DM=10:EMM=10:Q=0:GOTO INPUT "matorix density=(2)";dm 200 INPUT "matorix density=(2)";dm 210 PRINT " " 220 PRINT TAB(10)"measuring condition of matrix" 132
141 230 INPUT "atomic weight of matrix=";amm 240 INPUT "atomic number of matrix=";zmm 250 INPUT "critical excitation voltage=";emm 260 CLS PRINT TAB(10)"measuring condition of compound" 280 INPUT "heavy atomic weight ratio=";ca 290 INPUT "heavy atomic weight=";aa 300 INPUT "heavy atomic number=";za 310 INPUT "heavy atomic critical excitation voltage=";ea 320 PRINT " " 330 IF CB=0 THEN INPUT "middle atomic weight ratio=";cb 350 INPUT "middle atomic weight=";ab 360 INPUT "middle atomic number=";zb 370 INPUT "middle atomic critical excitation voltage=";eb 380 PRINT " " 390 IF CC=0 THEN INPUT "light atomic weight ratio=";cc 410 INPUT "light atomic weight=";ac 420 INPUT "light atomic number=";zc 430 INPUT "light atomic critical excitation voltage=";ec 440 CLS INPUT"minimum critical exitation voltage=";emi 460 CLS PRINT TAB(10)"Absorption coefficience" 480 PRINT TAB(10)"Compound---Compound" 490 INPUT "heavy atom---heavy atom=";hh 500 IF CB=0 THEN INPUT "heavy atom---middle atom=";hm 520 IF CC=0 THEN INPUT "heavy atom---light atom=";hl 540 PRINT " " 550 IF CB=0 THEN INPUT "middle atom---heavy atom=";mh 570 INPUT "middle atom---middle atom=";mm 580 IF CC=0 THEN
142 590 INPUT "middle atom---light atom=";ml 600 PRINT " " 610 IF CC=0 THEN INPUT "light atom---heavy atom=";lh 630 INPUT "light atom---middle atom=";lm 640 INPUT "light atom---light atom=";ll 650 CLS IF N$="N" THEN PRINT TAB(10)"compound---matrix" 680 INPUT "heavy atom in compound---atom in matrix=";hal 690 IF CB=0 THEN INPUT "middle atom in compound---atom in matrix=";mal 710 IF CC=0 THEN INPUT "light atom in compound---atom in matrix=";lal 730 PRINT " " 740 IF N$= "N" THEN CLS PRINT TAB(10)"atom in matrix---compound" 770 INPUT "atom in matrix---heavy atom in compound=";alh 780 IF CB=0 THEN INPUT "atom in matrix---middle atom in 800 IF CC=0 THEN 820 compound=";alm 810 INPUT "atom in matrix---light atom in compound=";all 820 PRINT " " 830 IF N$="N" THEN PRINT TAB(10)"others" ELSE CLS INPUT "atom in matrix---atom in matrix=";ala 860 CLS PRINT TAB(10) "size() of compound" 880 INPUT "X(+) size=";xx 890 INPUT "X(-) size=";xxx :XXX=-XXX 900 INPUT "Y(+) size=";yy 910 INPUT "Y(-) size=";yyy :YYY=-YYY 920 INPUT "Z(thickness)=";ZZ 930 CLS IF P99=0 THEN
143 950 LINE(320-24*TAN(P9),0)-(320,24),7,,&HF99F:GOTO LINE(320,0)-(320,24),7 970 IF MAX=2 THEN 980 ELSE GOSUB*SCALE :GOSUB*DISPLAY2 :GOTO LINE(30,24+DD/.0156)-(608,24+DD/.0156),4 990 INE(320+XXX/.007,24+DD/.0156)-(320+XXX/.007,24+DD/.0156+ZZ/.0156), LINE(320+XX/.007,24+DD/.0156)-(320+XX/.007,24+DD/.0156+ZZ/.0156), LINE(320+XXX/.007,24+DD/.0156+ZZ/.0156)-(320+XX/.007,24+DD/.0156+ZZ/.0156), GOSUB*DISPLAY A=-.0217:B=.0332:C=-1.14E WA=(A+B*ZA+C*ZA^3)^4/(1+(A+B*ZA+C*ZA^3)^4) 1050 WB=(A+B*ZB+C*ZB^3)^4/(1+(A+B*ZB+C*ZB^3)^4) 1060 WC=(A+B*ZC+C*ZC^3)^4/(1+(A+B*ZC+C*ZC^3) ^4) 1070 WM=(A+B*ZMM+C*ZMM^3)^4/(1+(A+B*ZMM+C*ZMM^3)^4) 1080 NN=0 :TA=0:TB=0:TC=0:TM= E0=E00:X0=0:Y0=0:Z0=0:X1=0:Y1=0:Z1=0 :KK= NN=NN LOCATE 35,22:COLOR 6:PRINT "NN=";NN 1120 IF NN=KN THEN END 1130 EM=EMM:AM=AMM:ZM=ZMM 1140 'screening parameter in compound ' 1150 BA=5.44/(E0*1000)*ZA^(2/3):BB=5.44/(E0*1000)*ZB^(2/3) 1155 BC=5.44/(E0*1000)*ZC^(2/3): E1=4.8029E-10/300*E0* BBA=3.1416*(4.8029E-10)^4*ZA*(ZA+1)/(4*E1^2*BA* (BA+1)) 1170 IF CA= 1 THEN BBB=3.1416*(4.8029E-10)^4*ZB*(ZB+1)/(4* E1^2*BB*(BB+1)) 1190 IF CC=0 THEN 1220 ELSE BBC=3.1416*(4.8029E-10)^4*ZC*(ZC+1)/(4*E1^2*BC*( BC+1)) :GOTO AB=10:CB=0:ZB=10: AC=10:CC=0:ZC=10:GOTO AC=10:CC=0:ZC= TOTB=BBA/AA*CA+BBB/AB*CB+BBC/AC*CC :PA=(BBA/AA*CA)/TOTB 1235 PB=(BBB/AB*CB)/TOTB :PC=(BBC/AC*CC)/ TOTB 1240 'collision to atom in compound ' 1250 KK=KK F=RND 1270 IF F<PA THEN 1290 ELSE IF F<PA+PB THEN B=BB :GOTO 1310 ELSE
144 1290 B=BA :GOTO B=BC 1310 TOTS=AA/(ZA^(1/3)*(ZA+1))*CA+AB/(ZB^(1/3)*(ZB+1))*CB+AC/(ZC^(1/3)*(ZC+1))*CC 1320 ' mean free path in compound ' 1330 S=.0554*E0*1000/DS*TOTS*1E 'X,Y,Z position IF P9= 0 THEN IF KK=1 THEN GOSUB*XYZPOSI4:GOSUB*GRAPH4:GOTO 1400 ELSE GOSUB*XYZPOSI5:GOSUB*GRAPH4 :GOTO IF KK=1 THEN GOSUB*XYZPOSI1 :GOTO 1380 ELSE IF Z1<=0 OR E0<EMI THEN 1090 ELSE IF KK=2 THEN GOSUB*XYZPOSI2 :GOTO 1400 ELSE GOSUB*XYZPOSI IF Z1<=0 OR E0<EMI THEN IF E0>EA THEN GOSUB*GRAPH2:GOTO IF E0>EB THEN GOSUB*GRAPH1:GOTO IF E0>EC THEN GOSUB*GRAPH 'x-ray absorpition for situation of electron ' 1450 Z7=ABS(1.303*(X1-XX)-ZZ):Z8=ABS(1.303*(X1-XX)) 1460 Z9=ABS(1.303*(X1-XXX)-ZZ) :Z10=ABS(1.303*(X1-XXX)) 1470 IF Z1<ZZ THEN 1480 ELSE IF X1<XX AND X1>XXX THEN 1490 ELSE IF Y1<YY AND Y1>YYY THEN 1500 ELSE L2=Z1*1.26*.0001:L1=0:GOTO IF Z1>Z8 AND Z1<Z7 THEN 1510 ELSE L1=Z1*1.26*.0001 : L2=0:GOTO L1=1.303*(XX-X1)*1.26*.0001:L2=Z1*1.26*.0001-L1:GOTO IF X1<XX AND X1>XXX THEN 1530 ELSE IF Y1<YY AND Y1>YYY THEN 1540 ELSE IF Z1>Z7 THEN L2=Z1*1.26*.0001:L1=0:GOTO IF Z1> Z8 AND Z1<Z7 THEN 1560 ELSE L3=(Z1-ZZ)*1.26*.0001:L1=1.303*(XX-X1)*1.26*.0001-L3:L2= Z1*1.26*.0001-L1-L3:GOTO L2=(Z1-ZZ)*1.26*.0001:L1=Z1*1.26*.0001-L2:GOTO IF X1>XX THEN L2=Z1*1. 26*.0001:L1=0:GOTO IF YI<YY AND Y1>YYY THEN L2=Z1*1.26*.0001:L1=0:GOTO IF Z8<Z1 AND Z1<Z7 THEN L3=(Z1-ZZ)*1.26*.0001:L1=1.303*(XX-X1)*1.26*.0001-L3:L2=Z1*1.26*.0001-L1-L3:GO TO
145 1610 IF Z9<Z1 AND Z1<Z8 THEN L2=(Z1-ZZ)*1.26*.0001: L1=Z1*1.26*.0001-L2:GOTO IF Z10<Z1 AND Z1<Z9 THEN L1=(1.303*( XXX-X1)-Z1)*1.26*.0001 :L2=Z1*1.26*.0001-L1:GOTO L2=Z1*1.26*.0001 :L1=0:GOTO IF Y1<YY AND Y1>YYY THEN 1650 ELSE L2=Z1*1.26*.0001 :L1=0:GOTO IF X1>XX THEN L2=Z1*1.26*.0001:L1=0:GOTO IF Z1<Z10 THEN L2=Z1*1.26*.0001:L1=0:GOTO 4590 ELSE L1=(1.303*(XXX-X1)-Z1)*1.26*.0001:L2=(Z1*1.26*.0001)-L1:GOTO 'X-ray from heavy atom in compound ' 1680 IF E0>EA THEN U=E0/EA ELSE Q=0 :GOTO Q=(7.92E-20/U*LOG(U))/(EA^2) 1700 XNA=WA*Q*6.02E+23*DS/AA*S*CA 1710 XNAA=XNA*EXP(-(HH*CA+HM*CB+HL*CC)*DS*L1)*EXP(-HAL*L2*DM) 1720 TA=TA+XNAA:LOCATE 60,22 :COLOR 6 :PRINT "H=";TA 1730 IF CB=0 THEN 'X-ray from middle atom in compound ' 1750 IF E0>EB THEN U=E0/EB ELSE Q=0 :GOTO Q=(7.92E-20/U*LOG(U))/(EB^2) :XNB=WB*Q*6.02E+23*DS/AB*S 1770 XNB=WB*Q*6.02E+23*DS/AB*S*CB 1780 XNBB=XNB*EXP(-(MH*CA+MM*CB+ML*CC)*DS*L1)*EXP(-MAL*L2*DM) 1790 TB=TB+XNBB:LOCATE 5,23 :COLOR 6 :PRINT "M=";TB 1800 IF CC=0 THEN 'X-ray from light atom in compound ' 1820 IF E0>EC THEN U=E0/ EC ELSE Q=0 :GOTO Q=(7.92E-20/U*LOG(U))/(EC^2) 1840 XNC=WC*Q*6.02E+23*DS/AC*S*CC 1850 XNCC=XNC*EXP(-(LH*CA+LM*CB+LL*CC)*DS*L1)*EXP(-LAL*L2*DM) 1860 TC=TC+XNCC:LOCATE 35,23 :COLOR 6 :PRINT "L=";TC 1870 'energy loss in compound ' 1890 JA=11.5*ZA*.001 :JB=11.5*ZB*.001 :JC=11.5*ZC* JJ=JA*CA+JB*CB+JC*CC 1900 IF E0<6.338*JJ THEN 1910 ELSE TOTGG2=ZA/AA*CA/(JA^(1/2))+ZB/AB*CB/(JB^(1/2))+ZC/AC*CC/(JC^(1/2)) 1920 GG=62300!/(E0^(1/2))*DS*TOTGG2 :E0=E0-GG*S :GOTO TOTGG1=ZA/AA*CA*LOG(1.166*E0/JA)+ZB/AB*CB*LOG(1.166*E0/JB)+ZC/AC*CC*LOG(1.166*E0 /JC) 137
146 1940 GG=78600!*DS/E0*TOTGG1 :E0=E0-GG*S :GOTO 'X-ray from matrix ' 1955 IF MXNO=1 THEN S=.0554*E0*1000/DM*AM/(ZM^(1/3)*(ZM+1))*1E-08 :B=5.44/(E0*1000)*ZM^(2/ 3) 1970 'X,Y,Z position ' 1980 GOSUB*XYZPOSI IF E0>EM THEN 2000 ELSE Q=0:GOTO U=E0/EM :Q=(7.92E-20/U*LOG(U))/(EM^2) :XNM=WM*Q*6.02E+23*DM/AM*S 2010 XNM=WM*Q*6.02E+23*DM/AM*S 2020 XNMM=XNM*EXP(-(ALH*CA+ALM*CB+ALL*CC)*DS*L1)*EXP(-ALA*L2*DM) 2030 TM=TM+XNMM:LOCATE 1,22 :COLOR 2 :PRINT "Ma=";TM 2040 'graph of electron trjectories 2050 GOSUB*GRAPH 'energy loss in matrix ' 2070 GOSUB*ENELOS :KK=KK IF Z1<0 OR E0<EMI THEN 1090 ELSE ' energy loss in matrix ' 2100 *ENELOS 2110 JJ=11.5*ZM*.001 :J=11.5*ZM* IF E0<6.338*JJ THEN 2130 ELSE GG=62300!/(E0^(1/2))*DM*ZM/AM/(J^(1/2)) 2140 E0=E0-GG*S :RETURN 2150 GG=78600!*DM/E0*ZM/AM*LOG(1.166*E0/J) 2160 E0=E0-GG*S :RETURN 2170 'calucuration of electron position ' 2180 *XYZPOSI F=RND :Y=1-2*B*F/(1+B-F) 2200 F=RND :WS=6.2832*F 2210 F=RND 2220 IF F<=.5 THEN SN1=SQR(1-Y^2) ELSE SN1=-SQR(1-Y^2) 2230 X100=X1:Y100=Y1:Z100=Z X1=X1+S*SN1*COS(WS)*10000 :Y1=Y1+S*SN1*SIN(WS)*10000 :Z1=Z1+S* Y* COSS1=Y :RETURN 2260 *XYZPOSI F= RND :Y=1-2*B*F/(1+B-F) 2280 F=RND :WS=6.2832*F 138
147 2290 F=RND 2300 IF F<=.5 THEN SNW2=SQR(1-Y^2) ELSE SNW2=-SQR(1-Y^2) 2310 COSS2=COSS1*Y-SN1*SNW2*COS(WS) 2320 F=RND 2330 IF F<=.5 THEN SN2=SQR(1-COSS2^2) ELSE SN2=-SQR(1-COSS2^2) 2340 A=(Y-COSS1*COSS2)/(SN1*SN2) 2350 B=SIN(WS)*SNW2/SN SINF2=B :COSF2=A 2370 X100=X1:Y100=Y1:Z100=Z X1=X1+S*SN2*COSF2*10000 :Y1=Y1+S*SN2*SINF2*10000 :Z1=Z1+S* COSS2* COSS1=COSS2 :SINF1=SINF2 :COSF1=COSF2 :SN1=SN2 :RETURN 2400 *XYZPOSI F=RND :Y=1-2*B*F/(1+B-F) 2420 F=RND :WS=6.2832*F 2430 F=RND 2440 IF F<=.5 THEN SNW3=SQR(1-Y^2) ELSE SNW3=-SQR(1-Y^2) 2450 COSS2=COSS1*Y-SN1*SNW3*COS(WS) 2460 F=RND 2470 IF F<=.5 THEN SN3=SQR(1-COSS2^2) ELSE SN3=-SQR(1-COSS2^2) 2480 A=(Y-COSS1*COSS2)/(SN1*SN3) 2490 B=SIN(WS)*SNW3/SN SINF3=A*SINF1+B*COSF1 :COSF3=A*COSF1-B*SINF X100=X1:Y100=Y1:Z100=Z X1=X1+S*SN3*COSF3*10000 :Y1=Y1+S*SN3*SINF3*10000 :Z1=Z1+S*COSS2* COSS1=COSS2 :SINF1=SINF3 :COSF1=COSF3 :SN1=SN3 :RETURN 2540 *XYZPOSI F=RND :Y=1-2*B*F/(1+B-F) 2560 F=RND :WS=6.2832*F 2570 F=RND 2580 IF F<=.5 THEN SNW2=SQR(1-Y^2) ELSE SNW2=-SQR(1-Y^2) 2590 COSS1=COS(P9) :SN1=SIN(P9) 2600 SN1=SQR(1-COSS1^2) 2610 COSS2=COSS1*Y-SN1*SNW2*COS(WS) 2620 F=RND 2630 IF F<=.5 THEN SN2=SQR(1-COSS2^2) ELSE SN2=-SQR(1-COSS2^2) 2640 A=(Y-COSS1*COSS2)/(SN1*SN2) 139
148 2650 B=SIN(WS)*SNW2/SN SINF2=B :COSF2=A :X100=X1:Y100=Y1:Z100=Z X1=X1+S*SN3*COSF3*10000 :Y1=Y1+S*SN3*SINF3*10000 :Z1=Z1+S*COSS2* COSS1=COSS2 :SINF1=SINF2 :COSF1=COSF2 :SN1=SN2 :RETURN 2690 *XYZPOSI F=RND :Y=1-2*B*F/(1+B-F) 2710 F=RND :WS=6.2832*F 2720 F=RND 2730 IF F<=.5 THEN SNW3=SQR(1-Y^2) ELSE SNW3=-SQR(1-Y^2) 2740 COSS2=COSS1*Y-SN1*SNW3*COS(WS) 2760 IF F<=.5 THEN SN3=SQR(1-COSS2^2) ELSE SN3=-SQR(1-COSS2^2) 2770 A=(Y-COSS1*COSS2)/(SN1*SN3) 2780 B=SIN(WS)*SNW3/SN SINF3=A*SINF1+B*COSF1 :COSF3=A*COSF1-B*SINF1 :X100=X1:Y100=Y1:Z100=Z X1=X1+S*SN3*COSF3*10000 :Y1=Y1+S*SN3*SINF3*10000 :Z1=Z1+S*COSS2* COSS1=COSS2 :SINF1=SINF3 :COSF1=COSF3 : SN1=SN3 :RETURN 2820 'graph of electron trajectory ' 2830 *GRAPH IF MAX=2 THEN LINE(320+X0/.0035,24+Z0/.0078)-(320+X1/.0035,24+Z1/.0078),4,, 2860 GOTO LINE(320+X0/.007,24+Z0/.0156)-(320+X1/.007,24+Z1/.0156),4,, 2880 X0=X1:Y0=Y1:Z0=Z RETURN 2900 *GRAPH IF MAX=2 THEN LINE(320+X0/.0035,24+Z0/.0078)-(320+X1/.0035,24+Z1/.0078),2,, 2930 GOTO LINE(320+X0/.007,24+Z0/.0156)-(320+X1/.007,24+Z1/.0156),2,, 2950 X0=X1:Y0=Y1:Z0=Z RETURN 2970 *GRAPH IF MAX=2 THEN LINE(320+X0/.0035,24+Z0/.0078)-(320+X1/.0035,24+Z1/.0078),6,, 3000 GOTO LINE(320+X0/.007,24+Z0/.0156)-(320+X1/.007,24+Z1/.0156),6,, 140
149 3020 X0=X1:Y0=Y1:Z0=Z *GRAPH IF MAX=2 THEN LINE(320+X0/.0035,24+Z0/.0078)-(320+X1/.0035,24+Z1/.0078),7,, 3060 GOTO LINE(320+X0/.007,24+Z0/.0156)-(320+X1/.007,24+Z1/.0156),4,, 3080 X0=X1:Y0=Y1:Z0=Z RETURN 3100 'display of items ' 3110 *DISPLAY LINE(608,24)-(608,304) 3130 LINE(608,176)-(608,177) 3140 LINE(608,304)-(608,304) 3150 LOCATE 76,11:COLOR 7:PRINT "1" 3160 LOCATE 76,19:PRINT "2" 3170 LOCATE 76,3:PRINT "0" 3180 LINE(1060,100)-(1065,100) 3190 LINE(30,20)-(620,20) 3200 LINE(32,20)-(32,21) 3210 LINE(104,20)-(104,21) 3220 LINE(176,20)-(176,21) 3230 LINE(248,20)-(248,21) 3240 LINE(392,20)-(392,21) 3250 LINE(464,20)-(464,21) 3260 LINE(536,20)-(536,21) 3270 LINE(608,20)-(608,21) 3280 LOCATE 31,1 :COLOR 7:PRINT "0.5" 3290 LOCATE 22,1 :PRINT " 1" 3300 LOCATE 13,1 :PRINT "1.5" 3310 LOCATE 4,1 :PRINT "2micron" 3320 LOCATE 49,1 :PRINT "0.5" 3330 LOCATE 58,1 :PRINT " 1" 3340 LOCATE 67,1 :PRINT "1.5" 3350 LOCATE 76,1 :COLOR 7: PRINT "2" 3360 RETURN 3370 LOCATE 1,22 :COLOR 7 :PRINT " Element name:";ly$ 141
150 3380 LOCATE 1,23 :PRINT "Acc vol.(kv):";e RETURN 3400 *SCALE 3410 LINE(608,24)-(608,304) 3420 LINE(608,176)-(608,177) 3430 LINE(608,304)-(608,304) 3440 COLOR 7:LOCATE 76,11:PRINT "0.5" 3450 LOCATE 76,19:PRINT "1" 3460 COLOR 7:LOCATE 76,3:PRINT "0" 3470 LINE(1060,100)-(1065,100) 3480 LINE(30,20)-(620,20) 3490 LINE(32,20)-(32,21) 3500 LINE(104,20)-(104,21) 3510 LINE(176,20)-(176,21) 3520 LINE(248,20)-(248,21) 3530 LINE(392,20)-(392,21) 3540 LINE(464,20)-(464,21) 3550 LINE(536, 20)-(536,21) 3560 LINE(608,20)-(608,21) 3570 COLOR LOCATE 31,1 :PRINT "0.25" 3590 LOCATE 22,1 :PRINT "0.5" 3600 LOCATE 13,1 :PRINT "0.75" 3610 LOCATE 4,1 :PRINT "1micron" 3620 LOCATE 49,1 :PRINT "0.25" 3630 LOCATE 58,1 :PRINT " 0.5" 3640 LOCATE 67,1 :PRINT "0.75" 3650 LOCATE 76,1 :PRINT "1" 3660 RETURN 3670 *DISPLAY LINE(30, 24+DD/.0078)-(608,24+DD/.0078), LINE(320+XXX/.0035,24+DD/.0078)-(320+XXX/.0035,24+DD/.0078+ZZ/.0078), LINE(320+XXX/ ,24+DD/.0078)-(320+XXX/ ,24+DD/.0078+ZZ/.0078), LINE(608,24)-(608,304) 3770 LINE(608,176)-(608,177) 3780 LINE(608,304)-(608,304) 142
151 3790 LOCATE 76,11:COLOR 6:PRINT "3.0" 3800 LOCATE 76,19:COLOR 6:PRINT "6.0" 3810 LOCATE 76,15:COLOR 6:PRINT "4.5" 3820 LOCATE 76,3:COLOR 6:PRINT "0" 3830 LOCATE 76,7:COLOR 6:PRINT "1.5" 3840 LINE(1060,100)-(1065,100) 3850 LINE(30,20)-(620,20) 3860 LINE(32, 20)-(32,21) 3870 LINE(104,20)-(104,21) 3880 LINE(176,20)-(176,21) 3890 LINE(248,20)-(248,21) 3900 LINE(392,20)-(392,21) 3910 LINE(464,20)-(464,21) 3920 LINE(536,20)-(536,21) 3930 LINE(608,20)-(608,21) 3940 LOCATE 31,1 :COLOR 6:PRINT "1.5" 3950 LOCATE 22,1 :COLOR 6:PRINT "3.0" 3960 LOCATE 13,1 :COLOR 6:PRINT "4.5" 3970 LOCATE 4,1 :COLOR 6:PRINT "6 " 3980 LOCATE 49,1 :COLOR 6:PRINT "1.5" 3990 LOCATE 58,1 :COLOR 6:PRINT " LOCATE 67,1 :COLOR 6:PRINT "4.5" 4010 LOCATE 76,1 :COLOR 6:PRINT "6" 4020 RETURN 4030 *DISPLAY LINE(30,24+DD/.0468)-(608,24+DD/.0468), LINE(320+XXX/.021,24+DD/.0468)-(320+XXX/.021, 24+DD/.0468+ZZ/.0468), LINE(320+XX/.021,24+DD/.0468)-( 320+XX/.021,24+DD/.0468+ZZ/.0468), LINE(320+XXX/.021,24+DD/.0468+ZZ/.0468)-(320+XX/.021,24+DD/.0468+ZZ/.0468), RETURN 4090 *DISPLAY 'mean free path division(y axis) matrix from compound----' 4110 LINE(320+X0/.021,24+Z0/.0468)-(320+X1/.021,24+Z1/.0468),4,, 4120 X0=X1:Y0=Y1:Z0=Z RETURN 4140 TOTS=AA/(ZA^(1/3)*(ZA+1))*CA+AB/(ZB^(1/3)*(ZB+1))*CB+AC/(ZC^(1/3)*(ZC+1)) *CC 143
152 4150 S=0.0554*E0*1000/DS*TOTS*1E LINE(320+X0/.021,24+Z0/.0468)-(320+X1/.021,24+Z1/.0468),2,, 4170 X0=X1:Y0=Y1:Z0=Z RETURN 4190 'mean free path division(y axis),compound to matrix'-----' 4200 TOTS=AA/(ZA^(1/3)*(ZA+1))*CA+AB/(ZB^( 1/3)*(ZB+1))*CB+AC/(ZC^(1/3)*(ZC+1))*CC 4210 S=0.0554*E0*1000/DS*TOTS*1E IF X100<XX AND X100>XXX THEN 4230 ELSE IF Y100<YY AND Y100>YYY THEN 4240 ELSE IF Z100<ZZ THEN 4250 ELSE IF Y1>YY THEN 4260 ELSE S1=ABS((YY-Y100)/(Y1-Y100)*S) :S2=S-S1 :GOTO S1=ABS((YYY-Y100)/(Y1-Y100)*S) :S2=S-S1 :GOTO 'X-ray from heavy atom in compound ' 4290 IF E0>EA THEN U=E0/EA ELSE Q=0 :GOTO Q=(7.92E-20/U*LOG(U))/( EA^2) 4310 XNA=WA*Q*6.02E+23*DS/AA*S1*CA 4320 XNAA=XNA*EXP(-(HH*CA+HM*CB+HL*CC)*DS*L1)*EXP(-HAL*L2*DM) 4330 TA=TA+XNAA:LOCATE 60,22 :COLOR 6 :PRINT "H=";TA 4340 'X-ray from middle atom in compound ' 4350 IF CB=0 THEN IF E0>EB THEN U=E0/EB ELSE Q=0 :GOTO Q=(7.92E-20/U*LOG(U))/(EB^2) 4380 XNB=WB*Q*6.02E+23*DS/AB*S1*CB 4390 XNBB=XNB*EXP(-(MH*CA+MM*CB+ML*CC)*DS*L1)*EXP(-MAL*L2*DM) 4400 TB=TB+XNBB:LOCATE 5,23 :COLOR 6 :PRINT "M=";TB 4410 'X-ray from light atom in compound ' 4420 IF CC=0 THEN IF E0>EC THEN U=E0/EC ELSE Q=0 :GOTO Q=(7.92E-20/U*LOG(U))/(EC^2) 4450 XNC=WC*Q*6.02E+23*DS/AC*S1*CC 4460 XNCC=XNC*EXP(-(LH*CA+LM*CB+LL*CC)*DS*L1)*EXP(-LAL*L2*DM) 4470 TC=TC+XNCC:LOCATE 35,23 :COLOR 6 :PRINT "L=";TC 4480 'X-ray from matrix ' 4485 IF MXNO=1 THEN KK=KK+1 144
153 4500 IF E0>EM THEN 4510 ELSE Q=0:GOTO U=E0/EM :Q=(7.92E-20/U*LOG(U))/(EM^2) 4520 XNM=WM*Q*6.02E+23*DM/AM*S XNMM=XNM*EXP(-(ALH*CA+ALM*CB+ALL*CC)*DS*L1)*EXP(-ALA*L2*DM) 4540 TM=TM+XNMM:LOCATE 1,22 :COLOR 2 :PRINT "Ma=";TM 4550 'graph of electron trajectories 4560 GOSUB*GRAPH GOSUB IF Z1<0 OR E0<EMI THEN 1090 ELSE 'mean free path division( X axis),compound to matrix-----' 4600 TOTS=AA/(ZA^(1/3)*(ZA+1))*CA+AB/(ZB^(1/3)*(ZB+1))*CB+AC/(ZC^(1/3)*(ZC+1))*CC 4610 S=.0554*E0*1000/DS*TOTS*1E IF X100<XX AND X100>XXX THEN 4630 ELSE IF Y100<YY AND Y100>YYY THEN 4640 ELSE IF Z100<ZZ THEN 4650 ELSE IF X1>XX THEN 4660 ELSE S1=ABS((XX-X100)/(X1-X100)*S) :S2= S-S1 :GOTO S1=ABS((XXX-X100)/(X1-X100)*S) :S2=S-S1 :GOTO 'X-ray from heavy atom in compound ' 4690 IF E0>EA THEN U=E0/EA ELSE Q=0 :GOTO Q=(7.92E-20/U*LOG(U))/(EA^2) 4710 XNA=WA*Q*6.02E+23*DS/AA*S1*CA 4720 XNAA=XNA*EXP(-(HH*CA+HM*CB+HL*CC)*DS*L1)*EXP(-HAL*L2*DM) 4730 TA=TA+XNAA:LOCATE 60,22 :COLOR 6 :PRINT "H=";TA 4740 'X-ray from middle atom in compound ' 4750 IF CB=0 THEN S1=ABS((XX-X100)/(X1-X100)*S) :S2=S-S1 :GOTO S1=ABS((XXX-X100)/(X1-X100)*S) :S2=S-S1 :GOTO 'X-ray from heavy atom in compound ' 4690 IF E0>EA THEN U=E0/EA ELSE Q=0 :GOTO Q=(7.92E-20/U*LOG(U))/(EA^2) 4710 XNA=WA*Q*6.02E+23*DS/AA*S1*CA 4720 XNAA=XNA*EXP(-(HH*CA+HM*CB+HL*CC)*DS*L1)*EXP(-HAL*L2*DM) 4730 TA=TA+XNAA:LOCATE 60,22 :COLOR 6 :PRINT "H=";TA 4740 'X-ray from middle atom in compound ' 4750 IF CB=0 THEN
154 4760 IF E0>EB THEN U=E0/EB ELSE Q=0 :GOTO Q=(7.92E-20/U*LOG(U))/(EB^2) 4780 XNB=WB*Q*6.02E+23*DS/AB*S1*CB 4790 XNBB=XNB*EXP(-(MH*CA+MM*CB+ML*CC)*DS*L1)*EXP(-MAL*L2*DM) 4800 TB=TB+XNBB:LOCATE 5,23 :COLOR 6 :PRINT "M=";TB 4810 'X-ray from light atom in compound ' 4820 IF CC=0 THEN IF E0>EC THEN U=E0/EC ELSE Q=0 :GOTO Q=(7.92E-20/U*LOG(U))/(EC^2) 4850 XNC=WC*Q*6.02E+23*DS/AC*S1*CC 4860 XNCC=XNC*EXP(-(LH*CA+LM*CB+LL*CC)*DS*L1)*EXP(-LAL*L2*DM) 4870 TC=TC+XNCC:LOCATE 35,23 :COLOR 6 :PRINT "L=";TC 4880 'X-ray from matrix ' 4885 IF MXNO=1 THEN KK=KK IF E0>EM THEN 4910 ELSE Q=0:GOTO U=E0/EM :Q=(7.92E-20/U*LOG(U))/(EM^2) 4920 XNM=WM*Q*6.02E+23*DM/AM*S XNMM=XNM*EXP(-(ALH*CA+ALM*CB+ALL*CC)*DS*L1)*EXP(-ALA*L2*DM) 4940 TM=TM+XNMM:LOCATE 1,22 :COLOR 2 :PRINT "Ma=";TM 4950 'graph of electron trajectories 4960 GOSUB*GRAPH GOSUB IF Z1<0 OR E0<EMI THEN 1090 ELSE 'mean free path division(z axis) compoud to matrix ' 5000 TOTS=AA/(ZA^(1/3)*(ZA+1))*CA+AB/(ZB^(1/3)*(ZB+1))*CB+AC/(ZC^(1/3)*(ZC+1) )*CC 5010 S=0.0554*E0*1000/DS*TOTS*1E IF X100<XX AND X100>XXX THEN 5030 ELSE IF Y100<YY AND Y100>YYY THEN 5040 ELSE IF Z100<ZZ THEN 5050 ELSE IF Z1>ZZ THEN 5060 ELSE S1=ABS((ZZ-Z100)/(Z1-Z100)*S) :S2=S-S 'X-ray from heavy atom in compound ' 5080 IF E0>EA THEN U=E0/EA ELSE Q=0 :GOTO Q=(7.92E-20/U*LOG(U)) /(EA^2) 5100 XNA=WA*Q* 6.02E+23*DS/AA*S1*CA 146
155 5110 XNAA=XNA*EXP(-(HH*CA+HM*CB+HL*CC)*DS*L1)*EXP(-HAL*L2*DM) 5120 TA=TA+XNAA:LOCATE 60,22 :COLOR 6 :PRINT "H=";TA 5130 'X-ray from middle atom in compound ' 5140 IF CB=0 THEN IF E0>EB THEN U=E0/EB ELSE Q=0 :GOTO Q=(7.92E-20/U*LOG(U))/(EB^2) 5170 XNB=WB*Q*6.02E+23*DS/AB*S1*CB 5180 XNBB=XNB*EXP( -(MH*CA+MM*CB+ML*CC)*DS*L1)*EXP(-MAL*L2*DM) 5190 TB=TB+XNBB:LOCATE 5,23 :COLOR 6 :PRINT "M=";TB 5200 'X-ray from light atom in compound ' 5210 IF CC=0 THEN IF E0>EC THEN U=E0/EC ELSE Q=0 :GOTO Q=(7.92E-20/U*LOG(U))/(EC^2) 5240 XNC=WC*Q*6.02E+23*DS/AC*S1*CC 5250 XNCC=XNC*EXP(-(LH*CA+LM*CB+LL*CC)*DS*L1)*EXP(-LAL*L2*DM) 5260 TC=TC+XNCC:LOCATE 35,23 :COLOR 6 :PRINT "L=";TC 5270 'X-ray from matrix ' 5275 IF MXNO=1 THEN KK=KK IF E0>EM THEN 5300 ELSE Q=0:GOTO U=E0/EM :Q=(7.92E-20/U*LOG(U))/(EM^2) 5310 XNM=WM*Q*6.02E+23*DM/AM*S XNMM=XNM*EXP(-(ALH*CA+ALM*CB+ALL*CC)*DS*L1)*EXP(-ALA*L2*DM) 5330 TM=TM+XNMM:LOCATE 1,22 :COLOR 2 :PRINT "Ma=";TM 5340 'graph of electron trajectories 5350 GOSUB*GRAPH IF Z1<0 OR E0<EMI THEN 1090 ELSE GOSUB 'mean free path division(matrix to compound) ' 5390 SS=.0554*E0*1000/DM*AM/(ZM^(1/3)*(ZM+1))*1E IF X100<XX AND X100>XXX THEN 5410 ELSE IF Y100<YY AND Y100>YYY THEN 5420 ELSE IF Z100<ZZ THEN 1680 ELSE S1=ABS((X100-XX)/(X100-X1)*SS) :S2=SS-S1 :GOTO S1=ABS((Y100-YY)/(Y100-Y1)*SS) :S2=SS-S1 :GOTO S1=ABS((Z100-ZZ)/(Z100-Z1)*SS) :S2=SS-S1 :GOTO
156 5460 'X-ray from heavy atom in compound ' 5470 IF E0>EA THEN U=E0/EA ELSE Q= 0 :GOTO Q=(7.92E-20/U*LOG(U))/(EA^2) 5490 XNA=WA*Q*6.02E+23*DS/AA*S1*CA 5500 XNAA=XNA*EXP(-(HH*CA+HM*CB+HL*CC)*DS*L1)*EXP(-HAL*L2*DM) 5510 TA=TA+XNAA:LOCATE 60,22 :COLOR 6 :PRINT "H=";TA 5520 'X-ray from middle atom in compound ' 5530 IF CB=0 THEN IF E0>EB THEN U=E0/EB ELSE Q= 0 :GOTO Q=(7.92E-20/U*LOG(U))/(EB^2) 5560 XNB=WB*Q*6.02E+23*DS/AB*S1*CB 5570 XNBB=XNB*EXP(-(MH*CA+MM*CB+ML*CC)*DS*L1)*EXP(-MAL*L2*DM) 5580 TB=TB+XNBB:LOCATE 5,23 :COLOR 6 :PRINT "M=";TB 5590 'X-ray from light atom in compound ' 5600 IF CC=0 THEN IF E0>EC THEN U=E0/EC ELSE Q=0 :GOTO Q=(7.92E-20/U*LOG(U))/(EC^2) 5630 XNC=WC*Q*6.02E+23*DS/AC*S1*CC 5640 XNCC=XNC*EXP(-(LH*CA+LM*CB+LL*CC)*DS*L1)*EXP(-LAL*L2*DM) 5650 TC=TC+XNCC:LOCATE 35,23 :COLOR 6 :PRINT "L=";TC 5660 'X-ray from matrix ' 5665 IF MXNO=1 THEN KK=KK IF E0>EM THEN 5690 ELSE Q=0:GOTO U=E0/EM :Q=(7.92E-20/U*LOG(U))/(EM^2) 5700 XNM=WM*Q*6.02E+23*DM/AM*S XNMM=XNM*EXP(-(ALH*CA+ALM*CB+ALL*CC)*DS*L1)*EXP(-ALA*L2*DM) 5720 TM=TM+XNMM:LOCATE 1,22 :COLOR 2 :PRINT "Ma=";TM 5730 'graph of electron trajectories 5740 GOSUB*GRAPH 'energy loss in matrix ' 5760 JJ=11.5*5*.001 :J=11.5*ZM* IF E0<6.338*JJ THEN 5780 ELSE GG=62300!/(E0^(1/2))*DM*ZM/AM/(J^(1/2)) 5790 E0=E0-GG*S :GOTO GG=78600!*DM/E0*ZM/AM*LOG(1.166*E0/J) 148
157 5810 E0=E0-GG*S 5820 IF Z1<0 OR E0<EMI THEN 1090 ELSE 'energy loss in compound ' 5840 JJ=11.5* JA=11.5*ZA*.001 :JB=11.5*ZB*.001 :JC=11.5*ZC* IF E0<=6.338*JJ THEN 5870 ELSE TOTGG2=ZA/AA*CA/(JA^(1/2))+ZB/AB*CB/(JB^( 1/2))+ZC/AC*CC/(JC^(1/2)) 5880 GG=62300!/(E0^(1/2))*DS*TOTGG2 :E0=E0-GG*S :RETURN 5890 TOTGG1=ZA/AA*CA*LOG(1.166*E0/JA)+ZB/AB*CB*LOG(1.166*E0/JB)+ZC/AC*CC*LOG( 1.166*E0 /JC) 5900 GG=78600!*DS/E0*TOTGG1:E0=E0-GG*S:RETURN 149
158 150
31 33
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FAX780CL_chap-first.fm
FAX-780CL ABCDEFGHIα 01041115:10 :01 FAX-780CL α 1 1 2 3 1 2 f k b a FAX-780CL α n p q 09,. v m t w FAX-780CL A BC B C D E F G H I c i c s s i 0 9 V X Q ( < N > O P Z R Q: W Y M S T U V i c i k
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FAX780TA_chap-first.fm
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0226_ぱどMD表1-ol前
No. MEDIA DATA 0 B O O K 00-090-0 0 000900 000 00 00 00 0000 0900 000900 AREA MAP 0,000 0,000 0,000 0,000 00,000 0,000 0,000 0,000 0,000 0,000 0,000 0,000 0,000 0,000 0,000 0,000 0,000 0,000 00,000 0,000
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HITACHI 液晶プロジェクター CP-EX301NJ/CP-EW301NJ 取扱説明書 -詳細版- 【技術情報編】 日本語
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取扱説明書 -詳細版- 液晶プロジェクター CP-AW3019WNJ
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HITACHI 液晶プロジェクター CP-AX3505J/CP-AW3005J 取扱説明書 -詳細版- 【技術情報編】
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Excel ではじめる数値解析 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 初版 1 刷発行時のものです.
Excel ではじめる数値解析 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. http://www.morikita.co.jp/books/mid/009631 このサンプルページの内容は, 初版 1 刷発行時のものです. Excel URL http://www.morikita.co.jp/books/mid/009631 i Microsoft Windows
(3) (2),,. ( 20) ( s200103) 0.7 x C,, x 2 + y 2 + ax = 0 a.. D,. D, y C, C (x, y) (y 0) C m. (2) D y = y(x) (x ± y 0), (x, y) D, m, m = 1., D. (x 2 y
[ ] 7 0.1 2 2 + y = t sin t IC ( 9) ( s090101) 0.2 y = d2 y 2, y = x 3 y + y 2 = 0 (2) y + 2y 3y = e 2x 0.3 1 ( y ) = f x C u = y x ( 15) ( s150102) [ ] y/x du x = Cexp f(u) u (2) x y = xey/x ( 16) ( s160101)
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2000年度『数学展望 I』講義録
2000 I I IV I II 2000 I I IV I-IV. i ii 3.10 (http://www.math.nagoya-u.ac.jp/ kanai/) 2000 A....1 B....4 C....10 D....13 E....17 Brouwer A....21 B....26 C....33 D....39 E. Sperner...45 F....48 A....53
量子力学 問題
3 : 203 : 0. H = 0 0 2 6 0 () = 6, 2 = 2, 3 = 3 3 H 6 2 3 ϵ,2,3 (2) ψ = (, 2, 3 ) ψ Hψ H (3) P i = i i P P 2 = P 2 P 3 = P 3 P = O, P 2 i = P i (4) P + P 2 + P 3 = E 3 (5) i ϵ ip i H 0 0 (6) R = 0 0 [H,