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com.apple.print.PageFormat.PMHorizontalRes
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FUNCTION
F_Gex(w,t)
- Wave extensions : _GEX (calculated dataset)
* _dist (associated distributions)
+ _means (moments of the distibutions)
File: LSgex.ipf
& Requires: GaussUtils, PlotUtilsMacro
AUTHOR/MODIFICATION
Andrew Nelson 27 APR 2003
APPROVED FOR DISTRIBUTION
DESCRIPTION
Calculates a monomodal distribution of relaxation times (Tau), which is used to calculate the normalised intensity autocorrelation function for dynamic light scattering experiments:
! b is the normalisation constant:
and
Note that the integration is evaluated in (natural) log space, such that the integration points are equidistant. The start and end points of the integration are worked out from the mean relaxation time and the standard deviation of the distribution.
VARIABLES
+ $ Environmental Variables (default values):
Scattering Angle (90 degrees), temperature (298 K), viscosity of dispersant (0.89 cP), refractive index of dispersant (1.331), Laser wavelength (532 nm).
+ Input Variables (coef_GEX default values):
6 USAGE NOTES
^ The user is prompted for a set of environmental variables that were used to measure the data.
The input variables for the function include a characteristic relaxation time, Tau*, a width parameter, p, and an asymmetry parameter, s. If s=1 then the Schultz distribution is returned.
f For utility the average relaxation time (n=1) and average relaxation rate (n=-1) are given as output:
$
= The sizes corresponding to these moments are also given via:
" and the Stokes Einstein Equation:
P Furthermore, a plot (and waves) of the Tau/size distribution are also created.
Z Note that GaussUtils is required for the Gaussian quadrature integration of the function.
REFERENCE
Nicolai, T.; Gimel, J. C.; Johnsen, R., "Analysis of relaxation functions characterized by a broad monomodal relaxation time distribution", J. Phys. II, 6, 1996, 695.
TEST DATASETS
$ This example dataset is produced by running the Macro PlotLSgex(), using 20 data points per decade, tmin = 0.1 us, over 4 decades, and the above default coef_GEX values.
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TXET0RGI ~ d LSgex.ipf LSgex.ipf #pragma rtGlobals=1 // Use modern global access method.
////////////////////////////////////////////////
// GaussUtils.proc and PlotUtils.proc MUST be included
// Adopting these into the experiment will insure that they are always present
////////////////////////////////////////////////
//
// this function is for the fitting of dynamic light scattering data with a continuous distribution of exponentials
//
// For further details please see: Nicolai, T.; Gimel, J. C.; Johnsen, R., J. Phys. II, 6, 1996, 695.
//
// 27 Apr 03 Andrew Nelson
////////////////////////////////////////////////
Macro PlotLSgex(num,xmin,ndec)
Variable num=20,xmin=1e-1,ndec=5
Prompt num "Enter number of data points per decade (model): "
Prompt xmin "Enter minimum t for model: "
Prompt ndec "Enter number of decades (x) for model: "
Killvariables/A //don't want any nasty globals hanging around
Variable/g diffscale //global variables for procedure
Enviroparam() //call for experimental parameters
Variable n,xinc,xindex,i //local variables
make/o/n=((num-1)*ndec) xwave_GEX,ywave_GEX
make/o/t outparam_means = {"mean tau (us)","mean gamma (1/us)","mean R(tau) /nm","mean R(gamma) /nm"}
make/o/n = 4 means_means //the _means wave is for the mean relaxation time, the mean relaxation rate, and the mean sizes corresponding to those values
make/o/n = 76 tau_dist
make/o/n=76 size_dist
make/o/n=76 tauAtau_dist
Display/K=1 tauAtau_dist vs size_dist
ModifyGraph log(bottom)=1
Label bottom "size /nm"
Label left "TauA(Tau)"
edit/K=1 tau_dist,size_dist,tauAtau_dist //these _dist waves are shown for convenient copying and pasting of the relevant size and tau distributions.
edit/K=1 outparam_means,means_means
// create logarithmic time base
MakeLogTimeGEX(xwave_GEX,xmin,ndec,num)
make/o coef_GEX= {60.,3.,1.,0.0001,1}
make/o/t parameters_GEX = {"Tau*","p","s","Baseline","scale"} // _GEX wave is for the fitting parameters
Edit/K=1 parameters_GEX,coef_GEX
ywave_GEX:= F_GEX(coef_GEX,xwave_GEX)
Display/K=1 ywave_GEX vs xwave_GEX
ModifyGraph log(left)=0
ModifyGraph log(bottom)=1
ModifyGraph marker=29,msize=2,mode=4
Label bottom "t /us"
Label left "g2(t)-1"
End
//////////////////////////////////////////////////////////////////
//enter the experimental parameters
//////////////////////////////////////////////////////////////////
Function Enviroparam()
Variable angle=90,temperature=298,viscosity=0.89,refractive=1.331,lambda=532,Qsqr
Prompt angle "Enter scattering angle "
Prompt temperature " temperature"
Prompt viscosity "viscosity (cP) "
Prompt refractive "refractive index of medium "
Prompt lambda "laser wavelength"
Doprompt "environmental parameters", angle,temperature,viscosity,refractive,lambda
NVAR diffscale
Qsqr=((sin(Pi*(angle/360))*4*Pi*refractive)/lambda)^2 //Q squared value is calculated
diffscale=(Qsqr*1.38e-23*temperature*1e24)/(6*Pi*viscosity) // the scaling factor to convert Tau from us to nm.
End
//////////////////////////////////////////////////////////////////////
//Create a log based time scale for x axis.
///////////////////////////////////////////////////////////////////////
Function MakeLogTimeGEX(xwave_GEX,xmin,ndec,num) //this function was copied from a routine created by Giovanni Nisato. A logarithmic time base is produced for the function F_GEX
Wave xwave_GEX
Variable xmin,ndec,num
Variable n,xindex,xinc,ii
n = 1
xindex = 1
xinc = xmin*10/num
xwave_GEX [0] = xmin
do
ii =1
do
xwave_GEX [xindex] = xinc + xwave_GEX [xindex-1]
ii +=1
xindex += 1
while (ii 1)
Abort "wave name is already in use" // execute if condition is false
endif
Wave w76 = $weightStr
Wave z76 = $zStr // Not sure why this has to be "declared" twice
endif
// set up the integration end points and weights
// the start and end points are worked out in log space.
nord = 76
sigma=1/(sqrt(pee)) //this sigma represents the rms deviation from the mean, divided by the mean itself, which is similar to the standard deviation for a normalised log-normal
vb =((ln(tstar)+gammln((pee+1)/ess)-gammln(pee/ess))+6*sigma) //this is the end of the integral space, calculated by adding 6 sigma to the mean
va = 2*(ln(tstar)+gammln((pee+1)/ess)-gammln(pee/ess))-vb //this means that va is equidistant from the mean as vb
if ((gexdist(w,va)/gexdist(w,(ln(tstar)+gammln((pee+1)/ess)-gammln(pee/ess))))*100>0.5) // this is if va is no longer small enough, make it even smaller
va=0.
else
va = 2*(ln(tstar)+gammln((pee+1)/ess)-gammln(pee/ess))-vb //otherwise leave it alone
endif
// evaluate at Gauss points
// remember to index from 0,size-1
qq = t //current x point is the t-value for evaluation
summ = 0.0 // initialize integral
ii=0
do
// Using 76 Gauss points
zi = ( z76[ii]*(vb-va) + vb + va )/2.0
yyy = w76[ii] *gexdist(w,zi) * exp((-2*qq)/exp(zi))
summ += yyy
tau_dist[ii]=exp(zi) //zi are the equally spaced ln(Tau) times.
size_dist[ii]=diffscale*tau_dist[ii]
tauAtau_dist[ii]=gexdist(w,zi) //you have to plot Tau*A(Tau) to maintain equal area representation, but thats taken care of in the gexdist
ii+=1
while (ii and use GetStrFromList(), with slightly different syntax
//SRK 6/99
//#include
//loads 3-column data (only) into current folder, typically root:
// 6-column data from average/qsig i loaded below with LoadQSIGData() procedure
//average/qsig has not yet been implemented in IGOR
//
Macro LoadOneDData()
//Load the waves, using default waveX names
//if no path or file is specified for LoadWave, the default Mac open dialog will appear
LoadWave/G/D/A
String filename = S_fileName
do
if(V_flag==3)
String w0,w1,w2,n0,n1,n2,wt
Variable rr,gg,bb
// put the names of the three loaded waves into local names
n0 = StringFromList(0, S_waveNames ,";" )
n1 = StringFromList(1, S_waveNames ,";" )
n2 = StringFromList(2, S_waveNames ,";" )
//remove the semicolon AND period from files from the VAX
w0 = CleanupName((S_fileName + "q"),0)
w1 = CleanupName((S_fileName + "i"),0)
w2 = CleanupName((S_fileName + "s"),0)
wt = CleanupName((S_fileName + "wt"),0) //create a name for the weighting wave
if(exists(w0) !=0)
DoAlert 0,"This file has already been loaded. Use Append to Graph..."
KillWaves $n0,$n1,$n2 // kill the default waveX that were loaded
return
endif
// Rename to give nice names
Rename $n0, $w0
Rename $n1, $w1
Rename $n2, $w2
// String/G root:myGlobals:gLastFileName = filename
Duplicate/o $w2 $wt
$wt = 1/$w2 //assign the weighting wave
// set data units for the waves
// String angst = root:myGlobals:gAngstStr
string angst=""
SetScale d,0,0,"1/"+angst,$w0
SetScale d,0,0,"1/cm",$w1
// assign colors randomly
rr = abs(trunc(enoise(65535)))
gg = abs(trunc(enoise(65535)))
bb = abs(trunc(enoise(65535)))
// if target window is a graph, and user wants to append, do so
if(WinType("") == 1)
DoAlert 1,"Do you want to append this data to the current graph?"
if(V_Flag == 1)
AppendToGraph $w1 vs $w0
ModifyGraph mode=3,marker=29,msize=2,rgb ($w1) =(rr,gg,bb),grid=1,mirror=2,tickUnit=1
ErrorBars $w1 Y,wave=($w2,$w2)
else
//new graph
Display $w1 vs $w0
ModifyGraph log(bottom)=1,mode=3,marker=29,msize=2,rgb=(rr,gg,bb),grid=1,mirror=2,tickUnit=1
ModifyGraph log(left)=0,mode=3,marker=29,msize=2,rgb=(rr,gg,bb),grid=1,mirror=2,tickUnit=1
ErrorBars $w1 Y,wave=($w2,$w2)
Legend
endif
else
// graph window was not target, make new one
Display $w1 vs $w0
ModifyGraph log(bottom)=1,mode=3,marker=29,msize=2,rgb=(rr,gg,bb),grid=1,mirror=2,tickUnit=1
ModifyGraph log(left)=0,mode=3,marker=29,msize=2,rgb=(rr,gg,bb),grid=1,mirror=2,tickUnit=1
ErrorBars $w1 Y,wave=($w2,$w2)
Legend
endif
// Annotate graph
//Textbox/A=LT "XY data loaded from " + S_fileName
break
endif
if(V_flag == 6)
String w0,w1,w2,n0,n1,n2,wt
String w3,w4,w5,n3,n4,n5 //3 extra waves to load
Variable rr,gg,bb
// put the names of the three loaded waves into local names
n0 = StringFromList(0, S_waveNames ,";" )
n1 = StringFromList(1, S_waveNames ,";" )
n2 = StringFromList(2, S_waveNames ,";" )
n3 = StringFromList(3, S_waveNames ,";" )
n4 = StringFromList(4, S_waveNames ,";" )
n5 = StringFromList(5, S_waveNames ,";" )
//remove the semicolon AND period from files from the VAX
w0 = CleanupName((S_fileName + "q"),0)
w1 = CleanupName((S_fileName + "i"),0)
w2 = CleanupName((S_fileName + "s"),0)
w3 = CleanupName((S_fileName + "sq"),0)
w4 = CleanupName((S_fileName + "qb"),0)
w5 = CleanupName((S_fileName + "fs"),0)
wt = CleanupName((S_fileName + "wt"),0) //create a name for the weighting wave
if(exists(w0) !=0)
DoAlert 0,"This file has already been loaded."
KillWaves $n0,$n1,$n2,$n3,$n4,$n5 // kill the default waveX that were loaded
return
endif
// Rename to give nice names
Rename $n0, $w0
Rename $n1, $w1
Rename $n2, $w2
Rename $n3, $w3
Rename $n4, $w4
Rename $n5, $w5
Duplicate/o $w2 $wt
$wt = 1/$w2 //assign the weighting wave
// copy waves to global strings for use in the smearing calculation
// String/G root:myGlobals:gLastFileName = filename
String/G gQVals = w0
String/G gSig_Q = w3
String/G gQ_bar = w4
String/G gShadow = w5
// set data units for the waves
// String angst = root:myGlobals:gAngstStr
string angst=""
SetScale d,0,0,"1/"+angst,$w0
SetScale d,0,0,"1/cm",$w1
// assign colors randomly
rr = abs(trunc(enoise(65535)))
gg = abs(trunc(enoise(65535)))
bb = abs(trunc(enoise(65535)))
// if target window is a graph, and user wants to append, do so
if(WinType("") == 1)
DoAlert 1,"Do you want to append this data to the current graph?"
if(V_Flag == 1)
AppendToGraph $w1 vs $w0
ModifyGraph mode=3,marker=29,msize=2,rgb ($w1) =(rr,gg,bb),grid=1,mirror=2,tickUnit=1
ErrorBars $w1 Y,wave=($w2,$w2)
else
//new graph
Display $w1 vs $w0
ModifyGraph log=1,mode=3,marker=29,msize=2,rgb=(rr,gg,bb),grid=1,mirror=2,tickUnit=1
ErrorBars $w1 Y,wave=($w2,$w2)
Legend
endif
else
// graph window was not target, make new one
Display $w1 vs $w0
ModifyGraph log=1,mode=3,marker=29,msize=2,rgb=(rr,gg,bb),grid=1,mirror=2,tickUnit=1
ErrorBars $w1 Y,wave=($w2,$w2)
Legend
endif
// Annotate graph
//Textbox/A=LT "XY data loaded from " + S_fileName
break
endif
return
while(0)
End
Proc LoadOneDDataWithName(fileStr)
String fileStr
//Load the waves, using default waveX names
//if no path or file is specified for LoadWave, the default Mac open dialog will appear
LoadWave/G/D/A/Q fileStr
String fileName = S_fileName
do
if(V_flag==3)
String w0,w1,w2,n0,n1,n2,wt
// put the names of the three loaded waves into local names
n0 = StringFromList(0, S_waveNames ,";" )
n1 = StringFromList(1, S_waveNames ,";" )
n2 = StringFromList(2, S_waveNames ,";" )
//remove the semicolon AND period from files from the VAX
w0 = CleanupName((S_fileName + "q"),0)
w1 = CleanupName((S_fileName + "i"),0)
w2 = CleanupName((S_fileName + "s"),0)
wt = CleanupName((S_fileName + "wt"),0) //create a name for the weighting wave
if(exists(w0) !=0)
DoAlert 0,"This file has already been loaded."
KillWaves $n0,$n1,$n2 // kill the default waveX that were loaded
return
endif
// Rename to give nice names
Rename $n0, $w0
Rename $n1, $w1
Rename $n2, $w2
Duplicate/o $w2 $wt
$wt = 1/$w2 //assign the weighting wave
// String/G root:myGlobals:gLastFileName = filename
String/G gQVals = w0
String/G gInten = w1
String/G gSigma = w2
break
endif
if(V_flag == 6)
String w0,w1,w2,n0,n1,n2,wt
String w3,w4,w5,n3,n4,n5 //3 extra waves to load
// put the names of the three loaded waves into local names
n0 = StringFromList(0, S_waveNames ,";" )
n1 = StringFromList(1, S_waveNames ,";" )
n2 = StringFromList(2, S_waveNames ,";" )
n3 = StringFromList(3, S_waveNames ,";" )
n4 = StringFromList(4, S_waveNames ,";" )
n5 = StringFromList(5, S_waveNames ,";" )
//remove the semicolon AND period from files from the VAX
w0 = CleanupName((S_fileName + "q"),0)
w1 = CleanupName((S_fileName + "i"),0)
w2 = CleanupName((S_fileName + "s"),0)
w3 = CleanupName((S_fileName + "sq"),0)
w4 = CleanupName((S_fileName + "qb"),0)
w5 = CleanupName((S_fileName + "fs"),0)
wt = CleanupName((S_fileName + "wt"),0) //create a name for the weighting wave
if(exists(w0) !=0)
DoAlert 0,"This file has already been loaded."
KillWaves $n0,$n1,$n2,$n3,$n4,$n5 // kill the default waveX that were loaded
return
endif
// Rename to give nice names
Rename $n0, $w0
Rename $n1, $w1
Rename $n2, $w2
Rename $n3, $w3
Rename $n4, $w4
Rename $n5, $w5
Duplicate/o $w2 $wt
$wt = 1/$w2 //assign the weighting wave
// copy waves to global strings for use in the smearing calculation
// String/G root:myGlobals:gLastFileName = filename
String/G gQVals = w0
String/G gInten = w1
String/G gSigma = w2
String/G gSig_Q = w3
String/G gQ_bar = w4
String/G gShadow = w5
break
endif
return
while(0)
End
//procedure for loading NSE data in the format (4-columns)
// qvals - time - I(q,t) - dI(q,t)
//creates weighting wave for data fitting
Proc LoadNSEData()
//Load the waves, using default waveX names
//if no path or file is specified for LoadWave, the default Mac open dialog will appear
LoadWave/G/D/A
String filename = S_fileName
String w0,w1,w2,n0,n1,n2,wt,w3,n3
Variable rr,gg,bb
// put the names of the three loaded waves into local names
n0 = StringFromList(0, S_waveNames ,";" )
n1 = StringFromList(1, S_waveNames ,";" )
n2 = StringFromList(2, S_waveNames ,";" )
n3 = StringFromList(3, S_waveNames ,";" )
//remove the semicolon AND period from files from the VAX
w0 = CleanupName(("qvals_"+S_fileName),0)
w1 = CleanupName(("time_"+S_fileName),0)
w2 = CleanupName(("iqt_"+S_fileName),0)
w3 = CleanupName(("iqterr_"+S_fileName),0)
wt = CleanupName(("iqtwt_"+S_fileName),0) //create a name for the weighting wave
if(exists(w0) !=0)
DoAlert 0,"This file has already been loaded. Use Append to Graph..."
KillWaves $n0,$n1,$n2 // kill the default waveX that were loaded
return
endif
// Rename to give nice names
Rename $n0, $w0
Rename $n1, $w1
Rename $n2, $w2
Rename $n3, $w3
Duplicate/o $w3 $wt
$wt = 1/$w3 //assign the weighting wave
// assign colors randomly
rr = abs(trunc(enoise(65535)))
gg = abs(trunc(enoise(65535)))
bb = abs(trunc(enoise(65535)))
// if target window is a graph, and user wants to append, do so
if(WinType("") == 1)
DoAlert 1,"Do you want to append this data to the current graph?"
if(V_Flag == 1)
AppendToGraph $w2 vs $w1
ModifyGraph mode=3,marker=29,msize=2,rgb ($w2) =(rr,gg,bb),grid=1,mirror=2,tickUnit=1
ErrorBars $w2 Y,wave=($w3,$w3)
else
//new graph
Display $w2 vs $w1
ModifyGraph standoff=0,mode=3,marker=29,msize=2,rgb=(rr,gg,bb),grid=1,mirror=2,tickUnit=1
ErrorBars $w2 Y,wave=($w3,$w3)
Legend
endif
else
// graph window was not target, make new one
Display $w2 vs $w1
ModifyGraph standoff=0,mode=3,marker=29,msize=2,rgb=(rr,gg,bb),grid=1,mirror=2,tickUnit=1
ErrorBars $w2 Y,wave=($w3,$w3)
Legend
endif
End
//DOES NOT graph the data
Proc LoadNSEDataWithName(fileStr)
String fileStr
//Load the waves, using default waveX names
//if no path or file is specified for LoadWave, the default Mac open dialog will appear
LoadWave/G/D/A/Q fileStr
String fileName = S_fileName
String w0,w1,w2,n0,n1,n2,wt,w3,n3
Variable rr,gg,bb
// put the names of the three loaded waves into local names
n0 = StringFromList(0, S_waveNames ,";" )
n1 = StringFromList(1, S_waveNames ,";" )
n2 = StringFromList(2, S_waveNames ,";" )
n3 = StringFromList(3, S_waveNames ,";" )
//remove the semicolon AND period from files from the VAX
w0 = CleanupName(("qvals_"+S_fileName),0)
w1 = CleanupName(("time_"+S_fileName),0)
w2 = CleanupName(("iqt_"+S_fileName),0)
w3 = CleanupName(("iqterr_"+S_fileName),0)
wt = CleanupName(("iqtwt_"+S_fileName),0) //create a name for the weighting wave
if(exists(w0) !=0)
DoAlert 0,"This file has already been loaded. Use Append to Graph..."
KillWaves $n0,$n1,$n2 // kill the default waveX that were loaded
return
endif
// Rename to give nice names
Rename $n0, $w0
Rename $n1, $w1
Rename $n2, $w2
Rename $n3, $w3
Duplicate/o $w3 $wt
$wt = 1/$w3 //assign the weighting wave
End
//procedure for loading desmeared USANS data in the format (5-columns)
// qvals - I(q) - sig I - Ism(q) - fitted Ism(q)
//no weighting wave is created (not needed in IGOR 4)
Proc LoadUSANSData()
//Load the waves, using default waveX names
//if no path or file is specified for LoadWave, the default Mac open dialog will appear
LoadWave/G/D/A
String filename = S_fileName
String w0,w1,w2,n0,n1,n2,w3,n3,w4,n4
Variable rr,gg,bb
// put the names of the three loaded waves into local names
n0 = StringFromList(0, S_waveNames ,";" )
n1 = StringFromList(1, S_waveNames ,";" )
n2 = StringFromList(2, S_waveNames ,";" )
n3 = StringFromList(3, S_waveNames ,";" )
n4 = StringFromList(4, S_waveNames ,";" )
//remove the semicolon AND period from files from the VAX
w0 = CleanupName((S_fileName+"_q"),0)
w1 = CleanupName((S_fileName+"_i"),0)
w2 = CleanupName((S_fileName+"_s"),0)
w3 = CleanupName((S_fileName+"_ism"),0)
w4 = CleanupName((S_fileName+"_fit_ism"),0)
if(exists(w0) !=0)
DoAlert 0,"This file has already been loaded. Use Append to Graph..."
KillWaves/Z $n0,$n1,$n2,$n3,$n4 // kill the default waveX that were loaded
return
endif
// Rename to give nice names
Rename $n0, $w0
Rename $n1, $w1
Rename $n2, $w2
Rename $n3, $w3
Rename $n4, $w4
// assign colors randomly
rr = abs(trunc(enoise(65535)))
gg = abs(trunc(enoise(65535)))
bb = abs(trunc(enoise(65535)))
// if target window is a graph, and user wants to append, do so
if(WinType("") == 1)
DoAlert 1,"Do you want to append this data to the current graph?"
if(V_Flag == 1)
AppendToGraph $w1 vs $w0
ModifyGraph mode=3,marker=29,msize=2,rgb ($w1) =(rr,gg,bb),tickUnit=1,grid=1,mirror=2
ErrorBars $w1 Y,wave=($w2,$w2)
else
//new graph
Display $w1 vs $w0
ModifyGraph log=1,mode=3,marker=29,msize=2,rgb=(rr,gg,bb),tickUnit=1,grid=1,mirror=2
ErrorBars $w1 Y,wave=($w2,$w2)
Legend
endif
else
// graph window was not target, make new one
Display $w1 vs $w0
ModifyGraph log=1,mode=3,marker=29,msize=2,rgb=(rr,gg,bb),tickUnit=1,grid=1,mirror=2
ErrorBars $w1 Y,wave=($w2,$w2)
Legend
endif
End
R H
Geneva N u 9 x H H L Xg( H H ( d h F H H H H $ $
R R MPSR WMT1 * L T T W! d
TXET0RGI Y d GaussUtils.ipf GaussUtils.ipf #pragma rtGlobals=1 // Use modern global access method.
// GaussUtils.proc
// utility routines that are used by Cylinder and Ellipsoidform factor calculations
// This procedure must be kept in the "User Procedures" folder in the Igor Pro folder
// so that the compiler can find it. This utility file should be Included in each of the
// procedure files that use Gaussian quadrature by placing the following:
// #include "GaussUtils.proc"
// at the top of the file, after the #pragma statement
// 22dec97 SRK
Function Make20GaussPoints(w20,z20)
Wave w20,z20
// printf "in make Gauss Pts\r"
z20[0] = -.993128599185095
z20[1] = -.963971927277914
z20[2] = -.912234428251326
z20[3] = -.839116971822219
z20[4] = -.746331906460151
z20[5] = -.636053680726515
z20[6] = -.510867001950827
z20[7] = -.37370608871542
z20[8] = -.227785851141645
z20[9] = -.076526521133497
z20[10] = .0765265211334973
z20[11] = .227785851141645
z20[12] = .37370608871542
z20[13] = .510867001950827
z20[14] = .636053680726515
z20[15] = .746331906460151
z20[16] = .839116971822219
z20[17] = .912234428251326
z20[18] = .963971927277914
z20[19] = .993128599185095
w20[0] = .0176140071391521
w20[1] = .0406014298003869
w20[2] = .0626720483341091
w20[3] = .0832767415767047
w20[4] = .10193011981724
w20[5] = .118194531961518
w20[6] = .131688638449177
w20[7] = .142096109318382
w20[8] = .149172986472604
w20[9] = .152753387130726
w20[10] = .152753387130726
w20[11] = .149172986472604
w20[12] = .142096109318382
w20[13] = .131688638449177
w20[14] = .118194531961518
w20[15] = .10193011981724
w20[16] = .0832767415767047
w20[17] = .0626720483341091
w20[18] = .0406014298003869
w20[19] = .0176140071391521
// printf "w[0],z[0] = %g %g\r", w20[0],z20[0]
End
Function Make76GaussPoints(w76,z76)
Wave w76,z76
// printf "in make Gauss Pts\r"
z76[0] = .999505948362153*(-1.0)
z76[75] = -.999505948362153*(-1.0)
z76[1] = .997397786355355*(-1.0)
z76[74] = -.997397786355355*(-1.0)
z76[2] = .993608772723527*(-1.0)
z76[73] = -.993608772723527*(-1.0)
z76[3] = .988144453359837*(-1.0)
z76[72] = -.988144453359837*(-1.0)
z76[4] = .981013938975656*(-1.0)
z76[71] = -.981013938975656*(-1.0)
z76[5] = .972229228520377*(-1.0)
z76[70] = -.972229228520377*(-1.0)
z76[6] = .961805126758768*(-1.0)
z76[69] = -.961805126758768*(-1.0)
z76[7] = .949759207710896*(-1.0)
z76[68] = -.949759207710896*(-1.0)
z76[8] = .936111781934811*(-1.0)
z76[67] = -.936111781934811*(-1.0)
z76[9] = .92088586125215*(-1.0)
z76[66] = -.92088586125215*(-1.0)
z76[10] = .904107119545567*(-1.0)
z76[65] = -.904107119545567*(-1.0)
z76[11] = .885803849292083*(-1.0)
z76[64] = -.885803849292083*(-1.0)
z76[12] = .866006913771982*(-1.0)
z76[63] = -.866006913771982*(-1.0)
z76[13] = .844749694983342*(-1.0)
z76[62] = -.844749694983342*(-1.0)
z76[14] = .822068037328975*(-1.0)
z76[61] = -.822068037328975*(-1.0)
z76[15] = .7980001871612*(-1.0)
z76[60] = -.7980001871612*(-1.0)
z76[16] = .77258672828181*(-1.0)
z76[59] = -.77258672828181*(-1.0)
z76[17] = .74587051350361*(-1.0)
z76[58] = -.74587051350361*(-1.0)
z76[18] = .717896592387704*(-1.0)
z76[57] = -.717896592387704*(-1.0)
z76[19] = .688712135277641*(-1.0)
z76[56] = -.688712135277641*(-1.0)
z76[20] = .658366353758143*(-1.0)
z76[55] = -.658366353758143*(-1.0)
z76[21] = .626910417672267*(-1.0)
z76[54] = -.626910417672267*(-1.0)
z76[22] = .594397368836793*(-1.0)
z76[53] = -.594397368836793*(-1.0)
z76[23] = .560882031601237*(-1.0)
z76[52] = -.560882031601237*(-1.0)
z76[24] = .526420920401243*(-1.0)
z76[51] = -.526420920401243*(-1.0)
z76[25] = .491072144462194*(-1.0)
z76[50] = -.491072144462194*(-1.0)
z76[26] = .454895309813726*(-1.0)
z76[49] = -.454895309813726*(-1.0)
z76[27] = .417951418780327*(-1.0)
z76[48] = -.417951418780327*(-1.0)
z76[28] = .380302767117504*(-1.0)
z76[47] = -.380302767117504*(-1.0)
z76[29] = .342012838966962*(-1.0)
z76[46] = -.342012838966962*(-1.0)
z76[30] = .303146199807908*(-1.0)
z76[45] = -.303146199807908*(-1.0)
z76[31] = .263768387584994*(-1.0)
z76[44] = -.263768387584994*(-1.0)
z76[32] = .223945802196474*(-1.0)
z76[43] = -.223945802196474*(-1.0)
z76[33] = .183745593528914*(-1.0)
z76[42] = -.183745593528914*(-1.0)
z76[34] = .143235548227268*(-1.0)
z76[41] = -.143235548227268*(-1.0)
z76[35] = .102483975391227*(-1.0)
z76[40] = -.102483975391227*(-1.0)
z76[36] = .0615595913906112*(-1.0)
z76[39] = -.0615595913906112*(-1.0)
z76[37] = .0205314039939986*(-1.0)
z76[38] = -.0205314039939986*(-1.0)
w76[0] = .00126779163408536
w76[75] = .00126779163408536
w76[1] = .00294910295364247
w76[74] = .00294910295364247
w76[2] = .00462793522803742
w76[73] = .00462793522803742
w76[3] = .00629918049732845
w76[72] = .00629918049732845
w76[4] = .00795984747723973
w76[71] = .00795984747723973
w76[5] = .00960710541471375
w76[70] = .00960710541471375
w76[6] = .0112381685696677
w76[69] = .0112381685696677
w76[7] = .0128502838475101
w76[68] = .0128502838475101
w76[8] = .0144407317482767
w76[67] = .0144407317482767
w76[9] = .0160068299122486
w76[66] = .0160068299122486
w76[10] = .0175459372914742
w76[65] = .0175459372914742
w76[11] = .0190554584671906
w76[64] = .0190554584671906
w76[12] = .020532847967908
w76[63] = .020532847967908
w76[13] = .0219756145344162
w76[62] = .0219756145344162
w76[14] = .0233813253070112
w76[61] = .0233813253070112
w76[15] = .0247476099206597
w76[60] = .0247476099206597
w76[16] = .026072164497986
w76[59] = .026072164497986
w76[17] = .0273527555318275
w76[58] = .0273527555318275
w76[18] = .028587223650054
w76[57] = .028587223650054
w76[19] = .029773487255905
w76[56] = .029773487255905
w76[20] = .0309095460374916
w76[55] = .0309095460374916
w76[21] = .0319934843404216
w76[54] = .0319934843404216
w76[22] = .0330234743977917
w76[53] = .0330234743977917
w76[23] = .0339977794120564
w76[52] = .0339977794120564
w76[24] = .0349147564835508
w76[51] = .0349147564835508
w76[25] = .0357728593807139
w76[50] = .0357728593807139
w76[26] = .0365706411473296
w76[49] = .0365706411473296
w76[27] = .0373067565423816
w76[48] = .0373067565423816
w76[28] = .0379799643084053
w76[47] = .0379799643084053
w76[29] = .0385891292645067
w76[46] = .0385891292645067
w76[30] = .0391332242205184
w76[45] = .0391332242205184
w76[31] = .0396113317090621
w76[44] = .0396113317090621
w76[32] = .0400226455325968
w76[43] = .0400226455325968
w76[33] = .040366472122844
w76[42] = .040366472122844
w76[34] = .0406422317102947
w76[41] = .0406422317102947
w76[35] = .0408494593018285
w76[40] = .0408494593018285
w76[36] = .040987805464794
w76[39] = .040987805464794
w76[37] = .0410570369162294
w76[38] = .0410570369162294
End //Make76GaussPoints()
R H
Geneva ~qe 9 x H H L Xg( H H ( d h F H H H H $ $
Rd R MPSR WMT1 * 4 L(T ,T // Platform=Macintosh, IGORVersion=6.230, architecture=Intel
Silent 101 // use | as bitwise or -- not comment.
DefaultFont "Arial"
OpenProc/W=(369,126,869,421)/J=212230/V=0 "GaussUtils.ipf"
OpenProc/W=(254,78,755,373)/J=197401/V=0 "PlotUtilsMacro.ipf"
OpenProc/W=(5,45,505,340)/J=195331/V=0 "WriteModelData.ipf"
OpenProc/W=(18,482,1094,1166)/J=186495/V=0 "LSgex.ipf"
MoveWindow/P 5,45,505,340
MoveWindow/C 4,526,911,651
OpenNotebook/N=Notebook0/W=(197,45,1156,665)/J=51313 "LSGex.ifn"
Graph0()
Table0()
Graph1()
Table2()
Table1()
Window Table1() : Table
PauseUpdate; Silent 1 // building window...
Edit/K=1/W=(489,254,994,461) outparam_means,means_means
ModifyTable format(Point)=1,width(outparam_means)=108
EndMacro
Window Table2() : Table
PauseUpdate; Silent 1 // building window...
Edit/K=1/W=(7,238,512,445) parameters_GEX,coef_GEX
ModifyTable format(Point)=1
EndMacro
Window Graph1() : Graph
PauseUpdate; Silent 1 // building window...
Display /W=(154,421,549,629)/K=1 ywave_GEX vs xwave_GEX
ModifyGraph mode=4
ModifyGraph marker=29
ModifyGraph msize=2
ModifyGraph log(bottom)=1
Label left "g2(t)-1"
Label bottom "t /us"
EndMacro
Window Table0() : Table
PauseUpdate; Silent 1 // building window...
Edit/K=1/W=(5,44,510,251) tau_dist,size_dist,tauAtau_dist
ModifyTable format(Point)=1
EndMacro
Window Graph0() : Graph
PauseUpdate; Silent 1 // building window...
Display /W=(35,44,430,252)/K=1 tauAtau_dist vs size_dist
ModifyGraph log(bottom)=1
Label left "TauA(Tau)"
Label bottom "size /nm"
EndMacro
9 #pragma rtGlobals=1 // Use modern global access method.