Re: Cross sections calculations
- To: mathgroup at smc.vnet.net
- Subject: [mg74039] Re: [mg74009] Cross sections calculations
- From: "Chris Chiasson" <chris at chiasson.name>
- Date: Wed, 7 Mar 2007 03:11:24 -0500 (EST)
- References: <200703050956.EAA20887@smc.vnet.net>
you might try resending the data as comma separated values (csv) -- it didn't come out right over here On 3/5/07, Johan Mars <jmars at uwc.ac.za> wrote: > Dear mathgroup > I am new to math 5.1 and like assistance solving the calculations for > cross sections > I am using (...r-matrix approach--------- > parameters: y is cross section, x is energy and t is the angle (in > degrees). The summation of l is from 0 to n=7. > sqrt is the square root. Pl is the cosine of the Legendre polynomial. > j=t/2 and > u=-2.15*ln(sin(j))...) > > the equation which is: > > y=1+3.4*x*sin^4(j)*[sum( > Bl*Pl)]+[1.86*sqrt(x)*sin^2(j)*(sum(Tl*Pl*cos(u))-sum(Rl*Pl*sin(u))] > > Bl, Tl and Rl are unknowns to be calculated from the fit to the data. > This means that 3 sets of data (2D vectors (x and y)) are needed for > the determination. > I have added the data points since I do not have a site on the web to > place them. > > t=85.7 > t=123.8 t=152.6 > ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- > x y x > y x > y > ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- > 1.032919 1.342186 1.034540 > 1.638148 1.035617 1.676251 > > 1.038439 1.342024 1.039728 > 1.588318 1.040366 1.589682 > > 1.043274 1.341003 1.044800 > 1.508356 1.045648 1.502952 > > 1.045025 1.333919 1.047154 > 1.296485 1.050777 1.398026 > > 1.046472 1.308382 1.048602 > 1.256833 1.053271 1.950580 > > 1.048490 1.308323 1.049745 > 1.208223 1.054043 3.166415 > > 1.049061 1.300394 1.050890 > 1.219943 1.054630 3.582741 > > 1.049898 1.282787 1.051602 > 1.651101 1.055846 3.561088 > > 1.051612 1.255484 1.052843 > 1.994618 1.056856 3.159478 > > 1.053020 1.277421 1.054796 > 2.769292 1.058560 2.991751 > > 1.054315 1.349470 1.055800 > 2.965068 1.059078 2.648054 > > 1.055076 1.384613 1.057125 > 2.777640 1.060705 2.428667 > > 1.058312 1.440782 1.058296 > 2.563109 1.063215 2.452225 > > 1.060216 1.425781 1.060041 > 2.375554 1.065260 2.241832 > > 1.062424 1.424837 1.062594 > 2.314452 1.070995 2.100240 > > 1.064442 1.421262 1.064609 > 2.178097 1.076282 > 2.147275 > 1.068439 1.419386 1.069947 > 2.073923 > 1.073883 1.419227 1.075099 > 2.066335 > 1.077386 1.405058 > > > Please note that in literature various other symbols are used for the > cross sections, the energies and angles. Mine here are just for > simplicity. > I hope to hear from you soon. Thanks a million. > > > > Sincere regards > > Johan Mars, Dr > Environmental Awareness Tel.: +27 21 9593050 > Department of Chemistry Fax.: +27 21 9593055 > University of the Western Cape Cell.:+27 72 5043585 > Private Bag X17 > Bellville, 7535 > South Africa > http://www.uwc.ac.za > > -- http://chris.chiasson.name/
- References:
- Cross sections calculations
- From: "Johan Mars" <jmars@uwc.ac.za>
- Cross sections calculations