Difference between revisions of "File:Pu241heatPlot.jpg"

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Generation of heat by mixture of [[Pu-241]] and [[Am-241]],
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used in the [[Century heater]], described in utopia [[Tartaria]].
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Abscise axis is time, measured in years.
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The initial concentration of [[Pu-241]] is 100%.
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  +
==[[C++]] generator of curves==
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<poem><nomathjax><nowiki>
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#include<stdio.h>
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#include<math.h>
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#include<stdlib.h>
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#define DB double
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  +
void ado(FILE *O, int X, int Y)
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{ fprintf(O,"%c!PS-Adobe-2.0 EPSF-2.0\n",'%');
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fprintf(O,"%c%cBoundingBox: 0 0 %d %d\n",'%','%',X,Y);
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fprintf(O,"/M {moveto} bind def\n");
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fprintf(O,"/L {lineto} bind def\n");
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fprintf(O,"/S {stroke} bind def\n");
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fprintf(O,"/s {show newpath} bind def\n");
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fprintf(O,"/C {closepath} bind def\n");
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fprintf(O,"/F {fill} bind def\n");
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fprintf(O,"/o {.1 0 360 arc C S} bind def\n");
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fprintf(O,"/times-Roman findfont 20 scalefont setfont\n");
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fprintf(O,"/W {setlinewidth} bind def\n");
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fprintf(O,"/RGB {setrgbcolor} bind def\n");}
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//DB casde(DB k, DB p, DB t){ return k*p/(k-p)*(exp(-p*t)-exp(-k*t));}
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int main(){int n,m;
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DB year=365.25*24*60*60; //second
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DB PuT, Puk, Pue;
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PuT=14.4 ; // Years
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Puk=log(2.)/PuT;
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Pue=0.021; //MeV
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DB Am, AmT, Amk, Ame;
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AmT=432;
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Ame=5.638;
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Amk=log(2.)/AmT;
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DB MeV=1.60218e-13; // Joule
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DB Year=365.242374*24*3600; //Second
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DB amu=1.660539040e-27 ; //kg
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DB k=Puk/Year; //Herz
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DB p=Amk/Year; //Herz
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DB kp=k*p/(k-p); //Herz
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DB W=241.1*amu; //kg , mass of Pu atom
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DB E=Ame*MeV; //Joule
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DB ko=kp*E; //Watt
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DB mo=ko/W; //Watt/kg
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printf("kp=%12.4le W=%12.6le E=%12.6le mo=%12.6le\n",kp,W,E,mo);
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FILE *o; o=fopen("11.eps","w");
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ado(o,1620,1040);
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fprintf(o,"10 10 translate 10 10 scale 2 setlinecap 1 setlinejoin\n");
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#define M(x,y) fprintf(o,"%6.4lf %6.4lf M\n",0.+x,0.+y);
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#define L(x,y) fprintf(o,"%6.4lf %6.4lf L\n",0.+x,0.+y);
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M(0,104) L(0,0) L(162,0)
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fprintf(o,".5 W S\n");
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for(n=10; n<101; n+=10){ M(0,n) L(160,n)}
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for(m=10; m<161; m+=10){ M(m,0) L(m,100)}
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fprintf(o,".3 W S\n");
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DB t;
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for(n=0;n<164;n+=2){t=n;
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DB c=exp(-Amk*t)-exp(-Puk*t);
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DB d=c*mo; //Watt/kg
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DB f=d/E; //Bq/kg
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printf("%3.0f %6.4lf %9.3le %9.4lf\n",t,c,f,d);
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if(n==0) M(t,d) else L(t,d)
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}
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fprintf(o,"1 0 0 RGB .5 W S\n");
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fprintf(o,"showpage\n");
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fclose(o);
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system("epstopdf 11.eps");
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system( "open 11.pdf");
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}
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</nowiki></nomathjax></poem>
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==[[Latex]] generator of labels==
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<poem><nomathjax><nowiki>
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\documentclass[12pt]{article}
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\usepackage{geometry}
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\topmargin -96pt
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\oddsidemargin -64pt
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\paperwidth 1680pt
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\paperheight 1086pt
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\textwidth 1600pt
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\textheight 1200pt
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\usepackage{amsmath}
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\usepackage{graphicx}
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\usepackage{rotating}
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\parindent 0pt
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\newcommand{\sx}{\scalebox}
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\newcommand \ing {\includegraphics}
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\newcommand \rot {\begin{rotate}}
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\newcommand \ero {\end{rotate}}
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\begin{document}
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\begin{picture}(1700,1054)
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\put(50,30){\ing{11}}
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\put(-9,1026){\sx{5}{$P,$}}
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\put(-5,958){\sx{5}{$\rm \frac{W}{kg}$}}
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%\put(-8,924){\sx{5}{$90$}}
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\put(-8,824){\sx{5}{$80$}}
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%\put(-8,724){\sx{5}{$70$}}
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\put(-8,624){\sx{5}{$60$}}
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%\put(-8,524){\sx{5}{$50$}}
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\put(-8,424){\sx{5}{$40$}}
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%\put(-8,324){\sx{5}{$30$}}
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\put(-8,224){\sx{5}{$20$}}
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%\put(-8,124){\sx{5}{$10$}}
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\put(4, 24){\sx{5}{$0$}}
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\put(46,-9){\sx{5}{$0$}}
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%\put(128,-9){\sx{5}{$10$}}
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\put(228,-9){\sx{5}{$20$}}
  +
\put(428,-9){\sx{5}{$40$}}
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\put(628,-9){\sx{5}{$60$}}
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\put(828,-9){\sx{5}{$80$}}
  +
\put(1020,-9){\sx{5}{$100$}}
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\put(1220,-9){\sx{5}{$120$}}
  +
\put(1420,-9){\sx{5}{$140$}}
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\put(1584,-6){\sx{5}{$t,$ y}}
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\end{picture}
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\end{document}
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</nowiki></nomathjax></poem>
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==References==
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<references/>
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[[Category:Am-241]]
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[[Category:Cheater]]
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[[Category:Nuclear physics]]
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[[Category:Pu-241]]
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[[Category:Tartaria]]
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[[Category:Utopia]]

Latest revision as of 20:02, 11 January 2019

Generation of heat by mixture of Pu-241 and Am-241, used in the Century heater, described in utopia Tartaria.

Abscise axis is time, measured in years. The initial concentration of Pu-241 is 100%.

C++ generator of curves


#include<stdio.h>
#include<math.h>
#include<stdlib.h>
#define DB double

void ado(FILE *O, int X, int Y)
{ fprintf(O,"%c!PS-Adobe-2.0 EPSF-2.0\n",'%');
        fprintf(O,"%c%cBoundingBox: 0 0 %d %d\n",'%','%',X,Y);
        fprintf(O,"/M {moveto} bind def\n");
        fprintf(O,"/L {lineto} bind def\n");
        fprintf(O,"/S {stroke} bind def\n");
        fprintf(O,"/s {show newpath} bind def\n");
        fprintf(O,"/C {closepath} bind def\n");
        fprintf(O,"/F {fill} bind def\n");
        fprintf(O,"/o {.1 0 360 arc C S} bind def\n");
        fprintf(O,"/times-Roman findfont 20 scalefont setfont\n");
        fprintf(O,"/W {setlinewidth} bind def\n");
        fprintf(O,"/RGB {setrgbcolor} bind def\n");}
//DB casde(DB k, DB p, DB t){ return k*p/(k-p)*(exp(-p*t)-exp(-k*t));}

int main(){int n,m;
DB year=365.25*24*60*60; //second

DB PuT, Puk, Pue;
PuT=14.4 ; // Years
Puk=log(2.)/PuT;
Pue=0.021; //MeV

DB Am, AmT, Amk, Ame;
AmT=432;
Ame=5.638;
Amk=log(2.)/AmT;

DB MeV=1.60218e-13; // Joule
DB Year=365.242374*24*3600; //Second
DB amu=1.660539040e-27 ; //kg

DB k=Puk/Year; //Herz
DB p=Amk/Year; //Herz
DB kp=k*p/(k-p); //Herz
DB W=241.1*amu; //kg , mass of Pu atom
DB E=Ame*MeV; //Joule
DB ko=kp*E; //Watt
DB mo=ko/W; //Watt/kg
printf("kp=%12.4le W=%12.6le E=%12.6le mo=%12.6le\n",kp,W,E,mo);

FILE *o; o=fopen("11.eps","w");
ado(o,1620,1040);
fprintf(o,"10 10 translate 10 10 scale 2 setlinecap 1 setlinejoin\n");
#define M(x,y) fprintf(o,"%6.4lf %6.4lf M\n",0.+x,0.+y);
#define L(x,y) fprintf(o,"%6.4lf %6.4lf L\n",0.+x,0.+y);
M(0,104) L(0,0) L(162,0)
fprintf(o,".5 W S\n");

for(n=10; n<101; n+=10){ M(0,n) L(160,n)}
for(m=10; m<161; m+=10){ M(m,0) L(m,100)}
fprintf(o,".3 W S\n");

DB t;
for(n=0;n<164;n+=2){t=n;
        DB c=exp(-Amk*t)-exp(-Puk*t);
        DB d=c*mo; //Watt/kg
        DB f=d/E; //Bq/kg
        printf("%3.0f %6.4lf %9.3le %9.4lf\n",t,c,f,d);
        if(n==0) M(t,d) else L(t,d)
        }
fprintf(o,"1 0 0 RGB .5 W S\n");

fprintf(o,"showpage\n");
fclose(o);

system("epstopdf 11.eps");
system( "open 11.pdf");

}

Latex generator of labels


\documentclass[12pt]{article}
\usepackage{geometry}
\topmargin -96pt
\oddsidemargin -64pt
\paperwidth 1680pt
\paperheight 1086pt
\textwidth 1600pt
\textheight 1200pt
\usepackage{amsmath}
\usepackage{graphicx}
\usepackage{rotating}
\parindent 0pt
\newcommand{\sx}{\scalebox}
\newcommand \ing {\includegraphics}
\newcommand \rot {\begin{rotate}}
\newcommand \ero {\end{rotate}}
\begin{document}
\begin{picture}(1700,1054)
\put(50,30){\ing{11}}
\put(-9,1026){\sx{5}{$P,$}}
\put(-5,958){\sx{5}{$\rm \frac{W}{kg}$}}
%\put(-8,924){\sx{5}{$90$}}
\put(-8,824){\sx{5}{$80$}}
%\put(-8,724){\sx{5}{$70$}}
\put(-8,624){\sx{5}{$60$}}
%\put(-8,524){\sx{5}{$50$}}
\put(-8,424){\sx{5}{$40$}}
%\put(-8,324){\sx{5}{$30$}}
\put(-8,224){\sx{5}{$20$}}
%\put(-8,124){\sx{5}{$10$}}
\put(4, 24){\sx{5}{$0$}}
\put(46,-9){\sx{5}{$0$}}
%\put(128,-9){\sx{5}{$10$}}
\put(228,-9){\sx{5}{$20$}}
\put(428,-9){\sx{5}{$40$}}
\put(628,-9){\sx{5}{$60$}}
\put(828,-9){\sx{5}{$80$}}
\put(1020,-9){\sx{5}{$100$}}
\put(1220,-9){\sx{5}{$120$}}
\put(1420,-9){\sx{5}{$140$}}
\put(1584,-6){\sx{5}{$t,$ y}}
\end{picture}
\end{document}

References

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