{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 238 "This is the 1s radial fun ction squared. The integral of this function gives the probability of finding the electron within a given radius of the nucleus. First, we give the indefinite integral (no limits). The Bohr radius is labeled a." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "R1s:=2*(1/abs(a))^(3 /2)*exp(-r/abs(a));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$R1sG,$*&*$-% $absG6#%\"aG!\"\"#\"\"$\"\"#-%$expG6#,$*&%\"rG\"\"\"F(F,F,F6F/" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 38 "R1s represents the 1s radial funct ion." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "int(R1s*R1s*r^2,r); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*(%\"rG\"\"#-%$absG6#%\"aG!\"#-% $expG6#,$*&F%\"\"\"F'!\"\"F2F&F+*(F%F1F'F2F,F&F+*$F,F&F2" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 140 "Next we plot the function. We have set \+ a = 1 for the plot and we expressed the function explicity rather than in symbolic form using R1s. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "with(plots);plot(4*exp(-2*r),r=0..10);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7S%(animateG%*animate3dG%-changecoordsG%,complexplotG%. complexplot3dG%*conformalG%,contourplotG%.contourplot3dG%*coordplotG%, coordplot3dG%-cylinderplotG%,densityplotG%(displayG%*display3dG%*field plotG%,fieldplot3dG%)gradplotG%+gradplot3dG%-implicitplotG%/implicitpl ot3dG%(inequalG%-listcontplotG%/listcontplot3dG%0listdensityplotG%)lis tplotG%+listplot3dG%+loglogplotG%(logplotG%+matrixplotG%(odeplotG%'par etoG%*pointplotG%,pointplot3dG%*polarplotG%,polygonplotG%.polygonplot3 dG%.polyhedraplotG%'replotG%*rootlocusG%,semilogplotG%+setoptionsG%-se toptions3dG%+spacecurveG%1sparsematrixplotG%+sphereplotG%)surfdataG%)t extplotG%+textplot3dG%)tubeplotG" }}{PARA 13 "" 1 "" {INLPLOT "6%-%'CU RVESG6$7hn7$\"\"!$\"\"%F(7$$\"1LL$3FWYs#!#<$\"1j!)Q%)4'yy$!#:7$$\"1mmm T&)G\\aF.$\"1FBE4F(pe$F17$$\"1++]7G$R<)F.$\"1y)pV\\QnR$F17$$\"1LLL3x&) *3\"!#;$\"1z\"[UI$f;KF17$$\"1++]ilyM;F?$\"1QNy*4eW)GF17$$\"1nmm;arz@F? $\"1bNB@\"=me#F17$$\"1L$e*)4bQl#F?$\"1(*p-u_g_BF17$$\"1++D\"y%*z7$F?$ \"1!)eL0PwR@F17$$\"1m;ajW8-OF?$\"1C#os.yh%>F17$$\"1LL$e9ui2%F?$\"1g\\G xh5q%HL/6I9F17$$\"1nmm\"z_\"4iF?$\"16rAr)>a: \"F17$$\"1nmmm6m#G(F?$\"1O-,d0s@$*F?7$$\"1ommT&phN)F?$\"1vu]qrf?vF?7$$ \"1,+v=ddC%*F?$\"1mz#[uxO2'F?7$$\"1LLe*=)H\\5F1$\"1omG`s80\\F?7$$\"1nm \"z/3uC\"F1$\"1\"*37p\\Y+LF?7$$\"1++DJ$RDX\"F1$\"1&GlPOz(*=#F?7$$\"1nm \"zR'ok;F1$\"17+wnCiK9F?7$$\"1++D1J:w=F1$\"1Y+xr&GaQ*F.7$$\"1MLL3En$4# F1$\"1pY!)f$>Y2'F.7$$\"1nm;/RE&G#F1$\"1;$pql(*49%F.7$$\"1+++D.&4]#F1$ \"1tF4t51!p#F.7$$\"1+++vB_#Fjs 7$$\"1LLL$Q*o]RF1$\"1#*>T&*3$4[\"Fjs7$$\"1,+D\"=lj;%F1$\"1&48jBy0i*!#> 7$$\"1++vV&RY2aF1$\"1Mxh!**H*Q!)!#?7$$ \"1nm;zXu9cF1$\"1jmw^st5`Fcw7$$\"1+++]y))GeF1$\"1:4S6uggMFcw7$$\"1++]i _QQgF1$\"1COF\"zngF#Fcw7$$\"1,+D\"y%3TiF1$\"1w)\\\\yyu^\"Fcw7$$\"1++]P ![hY'F1$\"1&36k)yku'*!#@7$$\"1LLL$Qx$omF1$\"1gC!\\nfiX'F]y7$$\"1+++v.I %)oF1$\"1n%RV#*4@>%F]y7$$\"1mm\"zpe*zqF1$\"1n#3.FiX$GF]y7$$\"1,++D\\'Q H(F1$\"1e)HfeYz%=F]y7$$\"1LLe9S8&\\(F1$\"10z1XbdN7F]y7$$\"1,+D1#=bq(F1 $\"1F0GZU27\")!#A7$$\"1LLL3s?6zF1$\"1w!*f;m;w`F\\[l7$$\"1++DJXaE\")F1$ \"1k9fsm)[\\$F\\[l7$$\"1ommm*RRL)F1$\"1/G>GrH3BF\\[l7$$\"1om;a<.Y&)F1$ \"1EGT$[F.^\"F\\[l7$$\"1NLe9tOc()F1$\"1cY(e-,p\"**!#B7$$\"1,++]Qk\\*)F 1$\"1=\")z$o*[PnFf\\l7$$\"1NL$3dg6<*F1$\"1?(Q5,YgK%Ff\\l7$$\"1ommmxGp$ *F1$\"1Ch#fP<2\"HFf\\l7$$\"1++D\"oK0e*F1$\"1]8yvFf\\l7$$\"1,+v=5s# y*F1$\"1U(Reb*>t7Ff\\l7$$\"#5F($\"1LUv*[9YC)!#C-%'COLOURG6&%$RGBG$Fb^l !\"\"F(F(-%+AXESLABELSG6$%\"rG%!G-%%VIEWG6$;F(Fa^l%(DEFAULTG" 2 495 495 495 2 0 1 0 2 9 0 4 2 1.000000 45.000000 45.000000 10030 10061 10056 10074 0 0 0 20030 0 12020 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 226 "Now we show that the functio n is normalized. The numerical integration routine must know that a i s positive. So we give it the absolute value of a [abs(a)]. Since a \+ > 0 the result is indeed 1. The function is normalized. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "int(R1s*R1s*r^2,r=0..infinity);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#*&-%$absG6#%\"aG!\"'F'\"\"'" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 176 "Now suppose we want to know the p robability that the electron is within one Bohr radius of the nucleus. We integrate from 0 (the nucleus) to a distance of one Bohr radius ( a)." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "int(R1s*R1s*r^2,r=0. .abs(a));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&-%$expG6#!\"#!\"&\"\"\" F)" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 89 "If we want to know the numb er we use the evaluate floating point number function evalf()." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "evalf(int(R1s*R1s*r^2,r=0..a bs(a)));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+SeBLK!#5" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 109 "We see that there is a 32% probability t hat the electron will be found within one Bohr radius of the nucleus. " }}{PARA 0 "" 0 "" {TEXT -1 111 "Now we turn our attention to the 2s \+ orbital. It is given below for the general case (no limit of integrat ion)." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "R2s:=(1/2/abs(a))^ (3/2)*(2-r/abs(a))*exp(-r/2/abs(a));" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%$R2sG,$**\"\"##\"\"\"F'*$-%$absG6#%\"aG!\"\"#\"\"$F',&F'F)*&%\"rGF )F+F/F/F)-%$expG6#,$F3#F/F'F)#F)\"\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "int(R2s*R2s*r^2,r);" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#,**(%\"rG\"\"#-%$absG6#%\"aG!\"#-%$expG6#,$*&F%\"\"\"F'!\"\"#F2F&F&F 3*(F%F1F'F2F,F&F2*$F,F&F2*(F,F&F%\"\"%F'!\"%#F2\"\")" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 94 "Now we plot it over 10 Bohr radii. Again the f unction is written in explicit form with a = 1." }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 46 "with(plots);plot(1/8*(2-r)^2*exp(-r),r=0..10); " }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7S%(animateG%*animate3dG%-changeco ordsG%,complexplotG%.complexplot3dG%*conformalG%,contourplotG%.contour plot3dG%*coordplotG%,coordplot3dG%-cylinderplotG%,densityplotG%(displa yG%*display3dG%*fieldplotG%,fieldplot3dG%)gradplotG%+gradplot3dG%-impl icitplotG%/implicitplot3dG%(inequalG%-listcontplotG%/listcontplot3dG%0 listdensityplotG%)listplotG%+listplot3dG%+loglogplotG%(logplotG%+matri xplotG%(odeplotG%'paretoG%*pointplotG%,pointplot3dG%*polarplotG%,polyg onplotG%.polygonplot3dG%.polyhedraplotG%'replotG%*rootlocusG%,semilogp lotG%+setoptionsG%-setoptions3dG%+spacecurveG%1sparsematrixplotG%+sphe replotG%)surfdataG%)textplotG%+textplot3dG%)tubeplotG" }}{PARA 13 "" 1 "" {INLPLOT "6%-%'CURVESG6$7jn7$\"\"!$\"1+++++++]!#;7$$\"1LL$3FWYs#! #<$\"1N,b.&RRt%F+7$$\"1mmmT&)G\\aF/$\"18+vtoK![%F+7$$\"1++]7G$R<)F/$\" 18&Qp#zjQUF+7$$\"1LLL3x&)*3\"F+$\"1]cuM*o$3SF+7$$\"1++]ilyM;F+$\"1oDkt O$F+7$$\"1L$e*)4bQl#F+$\"1'3n7BLW)G F+7$$\"1++D\"y%*z7$F+$\"1&\\[h\\LDg#F+7$$\"1m;ajW8-OF+$\"1%4Cq\"oZWBF+ 7$$\"1LL$e9ui2%F+$\"1-/6MzZ3@F+7$$\"1++voMrU^F+$\"1-ez*\\Z)\\;F+7$$\"1 nmm\"z_\"4iF+$\"18+OF'3xF\"F+7$$\"1nmmm6m#G(F+$\"1)zA)3@Mf(*F/7$$\"1om mT&phN)F+$\"1%Hl'\\p[[tF/7$$\"1,+v=ddC%*F+$\"1f3#oK`vW&F/7$$\"1LLe*=)H \\5!#:$\"1nKqydMcRF/7$$\"1nm\"z/3uC\"Fep$\"1wY09#*pL?F/7$$\"1LLe*ot*\\ 8Fep$\"1F8y!\\f#p8F/7$$\"1++DJ$RDX\"Fep$\"1^&H=r)ol()!#=7$$\"1LLekGhe: Fep$\"1O\"zs^5X7&Fgq7$$\"1nm\"zR'ok;Fep$\"1)zXyW&zfEFgq7$$\"1++D1J:w=F ep$\"1a7eg)>o$H!#>7$$\"1MLL3En$4#Fep$\"19hs];l^8Fgr7$$\"1nm;/RE&G#Fep$ \"17'*enh'\\.\"Fgq7$$\"1+++D.&4]#Fep$\"1!ylnbqCd#Fgq7$$\"1+++vB_7+-(Fgq7$$\"1++v=>Y2aFep$\"1-h\"*RgS1lFgq7$$\"1nm;zXu9cFep$\"1Qhj E6J^fFgq7$$\"1+++]y))GeFep$\"1xvy_x:!R&Fgq7$$\"1++]i_QQgFep$\"12%fM1>G '[Fgq7$$\"1,+D\"y%3TiFep$\"1$)\\$yj/#zVFgq7$$\"1++]P![hY'Fep$\"1&R]$\\ tgxQFgq7$$\"1LLL$Qx$omFep$\"1RI()zl+hMFgq7$$\"1+++v.I%)oFep$\"1&4O&[\" >G0$Fgq7$$\"1mm\"zpe*zqFep$\"1E,)*>)far#Fgq7$$\"1,++D\\'QH(Fep$\"1p'R7 `g5Q#Fgq7$$\"1LLe9S8&\\(Fep$\"1sqA5Y$y4#Fgq7$$\"1,+D1#=bq(Fep$\"1810>q YK=Fgq7$$\"1LLL3s?6zFep$\"1:(y&)R&G,;Fgq7$$\"1++DJXaE\")Fep$\"14`pdW%o Q\"Fgq7$$\"1ommm*RRL)Fep$\"11yV4do/7Fgq7$$\"1om;a<.Y&)Fep$\"1i5$G\"3\" 3/\"Fgq7$$\"1NLe9tOc()Fep$\"1/()owB^%)*)Fgr7$$\"1,++]Qk\\*)Fep$\"1*R)[ &pt_$yFgr7$$\"1NL$3dg6<*Fep$\"1j=$p?Z]o'Fgr7$$\"1ommmxGp$*Fep$\"1xPVI+ q!z&Fgr7$$\"1++D\"oK0e*Fep$\"1,?E0j$Fgr-%'COLOURG6&%$RGBG$Fh^l!\"\"F(F(-%+A XESLABELSG6$%\"rG%!G-%%VIEWG6$;F(Fg^l%(DEFAULTG" 2 495 495 495 2 0 1 0 2 9 0 4 2 1.000000 45.000000 45.000000 10030 10061 10056 10074 0 0 0 20030 0 12020 0 0 0 0 0 0 0 1 1 0 0 0 216 -24784 0 0 0 0 0 0 }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 38 "We check to see that it is normali zed." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "int(R2s*R2s*r^2,r=0 ..infinity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 72 "Since the integral over all space is 1, t he wave function is normalized." }}{PARA 0 "" 0 "" {TEXT -1 97 "Now we can calculate the probability that the electron in a 2s orbital is wi thin one Bohr radius." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "in t(R2s*R2s*r^2,r=0..abs(a));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&-%$ex pG6#!\"\"#!#@\"\")\"\"\"F+" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 59 "As \+ above we can obtain a number using the evalf() function." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "evalf(int(R2s*R2s*r^2,r=0..abs(a))) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"*oY;V$!#5" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 242 "We obtain a significantly different result from t he 1s orbital. Here there is only a 3% probability that the electron \+ is within one Bohr radius. The 2s orbital has a larger spatial extent . We can continue the analysis using the 3s orbital." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 81 "R3s:=(1/abs(a))^(3/2)/9/sqrt(3)*(6- 4*r/abs(a)+4*r^2/9/abs(a)^2)*exp(-r/3/abs(a));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$R3sG,$***$-%$absG6#%\"aG!\"\"#\"\"$\"\"#F.#\"\"\"F/, (\"\"'F1*&%\"rGF1F(F,!\"%*&F5F/F(!\"##\"\"%\"\"*F1-%$expG6#,$F4#F,F.F1 #F1\"#F" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "int(R3s*R3s*r^2, r=0..infinity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "int(R3s*R3s*r^2,r=0..abs(a));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#,&-%$expG6##!\"#\"\"$#!&`E\"\"%hl\"\" \"F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "evalf(int(R3s*R3s*r ^2,r=0..abs(a)));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\")5Om)*!#5" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 395 "It is evident that there is a tre nd. The wave functions are more extended (further on average from the nucleus) as the quantum number increases. Therefore the probability \+ for the electron being within one Bohr radius decreases. This is also shown in the plot below. Note that the number of radial nodes (place s where the wave function goes to zero) increases as the quantum numbe r increases." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "plot((1/81/ 3*(6-4*r+4*r^2/9)^2*exp(-2*r/3),r=0..10));" }}{PARA 13 "" 1 "" {INLPLOT "6%-%'CURVESG6$7[o7$\"\"!$\"1#[\"[\"[\"[\"[\"!#;7$$\"1LL$3FWY s#!#<$\"1rvn\"4+ES\"F+7$$\"1mmmT&)G\\aF/$\"1)RH7P=tK\"F+7$$\"1++]7G$R< )F/$\"1=I]1L\\b7F+7$$\"1LLL3x&)*3\"F+$\"1Kyrnp)p=\"F+7$$\"1++]ilyM;F+$ \"1r.2!=.%f5F+7$$\"1nmm;arz@F+$\"1_FL@3fN%*F/7$$\"1L$e*)4bQl#F+$\"1(\\ 'e(fTe^)F/7$$\"1++D\"y%*z7$F+$\"18\\I,.6swF/7$$\"1m;ajW8-OF+$\"1OfnM%* **)*oF/7$$\"1LL$e9ui2%F+$\"1W4u*=^9>'F/7$$\"1++voMrU^F+$\"1DO,)Qkb\"[F /7$$\"1nmm\"z_\"4iF+$\"1^Rx#*zP*p$F/7$$\"1nmmm6m#G(F+$\"1`'G7]Cez#F/7$ $\"1ommT&phN)F+$\"1js;*4sl2#F/7$$\"1,+v=ddC%*F+$\"1*o<=u5F/7$$\"1nm\"z/3uC\"Fep$\"1g6u&\\7%*=&!#=7$$ \"1LLe*ot*\\8Fep$\"1aAB\"4[nK$F]q7$$\"1++DJ$RDX\"Fep$\"1t5'3D`m)>F]q7$ $\"1LLekGhe:Fep$\"1tb1(**)4S5F]q7$$\"1nm\"zR'ok;Fep$\"1\"y.')*f0_W!#>7 $$\"1LL3_(>/x\"Fep$\"1v(RL:5,FCF]q7$$\"1,+D\"=lj; %Fep$\"1=lBTv&zA#F]q7$$\"1++vV&RF]q7$$\"1ML$e9Ege% Fep$\"1,1*z8stt\"F]q7$$\"1MLeR\"3Gy%Fep$\"1)pi\\&*Q6\\\"F]q7$$\"1nm;/T 1&*\\Fep$\"1bijgq4J7F]q7$$\"1nm\"zRQb@&Fep$\"1m1M&[\")Qx*Fbr7$$\"1++v= >Y2aFep$\"15G(yi)eixFbr7$$\"1nm;zXu9cFep$\"12]GE')=QeFbr7$$\"1+++]y))G eFep$\"1!*4xKsKXTFbr7$$\"1++]i_QQgFep$\"1:?nX**Q)y#Fbr7$$\"1,+D\"y%3Ti Fep$\"1@zlH(HJv\"Fbr7$$\"1++]P![hY'Fep$\"12I!3O&Hx!*!#?7$$\"1LLL$Qx$om Fep$\"1PP.w=&***RF\\z7$$\"1+++v.I%)oFep$\"1Zy#*)\\-sO*F]s7$$\"1mm\"zpe *zqFep$\"1b9E)[&>yj!#B7$$\"1,++D\\'QH(Fep$\"1VF'y*=K.qF]s7$$\"1LLe9S8& \\(Fep$\"1CE35(f,r#F\\z7$$\"1,+D1#=bq(Fep$\"1CGpvv[NfF\\z7$$\"1LLL3s?6 zFep$\"18_xuD#=%**F\\z7$$\"1++DJXaE\")Fep$\"1x77oNHy9Fbr7$$\"1ommm*RRL )Fep$\"17jJ]D\"\\)>Fbr7$$\"1om;a<.Y&)Fep$\"1nyWGC'R_#Fbr7$$\"1NLe9tOc( )Fep$\"1z4;fKViIFbr7$$\"1,++]Qk\\*)Fep$\"1M&o-uz#[NFbr7$$\"1NL$3dg6<*F ep$\"1HVQxlT#3%Fbr7$$\"1ommmxGp$*Fep$\"1aH22q(4`%Fbr7$$\"1++D\"oK0e*Fe p$\"1lD#Q\"Rur\\Fbr7$$\"1,+v=5s#y*Fep$\"1X9&oAxCN&Fbr7$$\"#5F($\"11aBW z/8dFbr-%'COLOURG6&%$RGBG$F`_l!\"\"F(F(-%+AXESLABELSG6$%\"rG%!G-%%VIEW G6$;F(F__l%(DEFAULTG" 2 495 495 495 2 0 1 0 2 9 0 4 2 1.000000 45.000000 45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "8 0 0" 176 }{VIEWOPTS 1 1 0 1 1 1803 }