File:Pu241heatPlo800x517.jpg

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Pu241heatPlo800x517.jpg(800 × 517 pixels, file size: 47 KB, MIME type: image/jpeg)

This is low resolution duplicate of image http://mizugadro.mydns.jp/t/index.php/File:Pu241heatPlot.jpg

The original is horribly slow to load..

Decay 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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Date/TimeThumbnailDimensionsUserComment
current00:07, 13 January 2019Thumbnail for version as of 00:07, 13 January 2019800 × 517 (47 KB)T (talk | contribs)This is low resolution duplicate of image http://mizugadro.mydns.jp/t/index.php/File:Pu241heatPlot.jpg The original is horribly slow to load.. Generation of heat by mixture of Pu-241 and Am-241, used in the Century heater, described in u...

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