Week 10: GNUPlot continued

• A game on smart phone:
  
  
  
• Plot 3D functions using splot:
  splot x**2+y**2
set isosample 20,30
set xyplane at 0
replot
  
  
• Plot f(x,y)=sin(x)cos(y)
  f(x,y)=sin(x)*cos(y)
set xlabel "{/Times-Italic x}"
set ylabel "{/Times-Italic y}"
set zlabel "{/Times-Italic f(x,y)}"
unset key
splot f(x,y)

set isosample 75
set xyplane at -1
replot

set hidden3d
replot

set pm3d
replot

set isosample 150
set view 20,50
replot

set contour base
replot

unset surface
set view map
set size square
replot

  
• Now use 3D plots to solve for the math game again.
  
  
• Plot the radial wavefunction for the 3s orbital of hydrogen atom. formula
  Hint: For hydrogen, set Z=1; for 3s orbital, n=3, l=0 and m=0.