def makeAreaFit():
# calculate ares
d_s = [1.000, 0.990, 0.990, 1.005, 1.000, 1.005]
d_m = [1.700, 1.690, 1.695, 1.700, 1.705, 1.705]
d_l = [2.880, 2.880, 2.875, 2.880, 2.880, 2.880]
d = map(avgstd, [d_s, d_m, d_l])
a = map(area, d)
diaarea = DataErrors()
for i in range(3):
diaarea.addPoint(d[i][0], a[i][0], d[i][1], a[i][1])
diaarea.saveDataToLaTeX(['Durchmesser $d$ / cm', '$s_d$ / cm', 'Fl\"ache $F / \\text{cm}^2$', '$s_F / \\text{cm}^2$'],
['%.4f', '%.4f', '%.4f', '%.4f'], 'Verschiedene Fl\"achen f\"ur die Samariummessung',
'tab:data:samarium:area', '../src/data_samarium_areas.tex', 'w')
with TxtFile('../fit/samarium.txt', 'w') as f:
f.writeline('areas')
f.writeline('=====')
for b in a:
f.writeline('\t', '%e' % b[0], TxtFile.PM, '%e' % b[1])
f.writeline()
#read data from files
#file=[area, area error, path, time]
files = []
files.append([a[0][0], a[0][1], '../data/31_Sm_kl_1600_t3000.txt', 3000])
files.append([a[1][0], a[1][1], '../data/34_Sm_m_1600_t2400.txt', 2400])
files.append([a[2][0], a[2][1], '../data/08_Sm_ggrFl_1600-1600-0.txt', 1200])
u = readSingleEntryFile('../data/09_Untergrund_1600-1600-0.txt')
tu = 3600
d = DataErrors()
for file in files:
n = readSingleEntryFile(file[2])
d.addPoint(file[0], n - u, file[1], np.sqrt(n / file[3] + u / tu))
d.saveDataToLaTeX(['Fl\"ache $F / \\text{cm}^2$', '$s_F / \\text{cm}^2$', 'Z\"ahlrate $n / (1/\\text{s})$', '$s_n / (1/\\text{s})$'],
['%.4f', '%.4f', '%.3f', '%.3f'], 'Z\"ahlraten von \\samarium~f\"ur verschiedene Fl\"achen mit Fehlern',
'tab:data:samarium', '../src/data_samarium.tex', 'w')
c = TCanvas('c2', '', 800, 600)
g = d.makeGraph('g', 'Fl#ddot{a}che F / cm^{2}', 'Z#ddot{a}hlrate n / (1/s)')
g.Draw('AP')
fit = Fitter('f', '[0]+[1]*x')
fit.setParam(0, 'a', 0)
fit.setParam(1, 'b', 0.05)
fit.fit(g, 0, 30)
fit.saveData('../fit/samarium.txt', 'a')
a = fit.params[0]['value']
sa = fit.params[0]['error']
b = fit.params[1]['value']
sb = fit.params[1]['error']
l = TLegend(0.55, 0.15, 0.98, 0.5)
l.AddEntry('g', '{}^{147} Samarium ohne Untergrund', 'p') # TODO with error bar? (options +'e')
l.AddEntry(fit.function, 'Fit mit n(F)=a+b*F', 'l')
l.AddEntry(0, '#chi^{2} / DoF : %f' % fit.getChisquareOverDoF(), '')
l.AddEntry(0, 'Paramter:', '')
l.AddEntry(0, 'a: %e #pm %e' % (a, sa), '')
l.AddEntry(0, 'b: %e #pm %e' % (b, sb), '')
l.SetTextSize(0.03)
l.Draw()
c.Update()
c.Print('../img/Samarium147-Flaechenabhaengigkeit.pdf', 'pdf')
#calculation with fit parameters
c = 0.004025
NA = 6.02214129e23
m = 2*150.36 + 3*15.999
h = 0.1487
t = (np.log(2) * c * NA * h) / (2 * m * b) / (3600 * 24 * 365.242)
st = t * (sb / b)
with TxtFile('../fit/samarium.txt', 'a') as f:
f.writeline('calculation from fit')
f.writeline('====================')
f.writeline('\t', '%e' % t, TxtFile.PM, '%e' % st)
f.writeline()
# calculation from single data points
sc = map(lambda p: calculateHalfLife(*p), d.points)
with TxtFile('../fit/samarium.txt', 'a') as f:
f.writeline('calculation from single data points')
f.writeline('===================================')
for s in sc:
f.writeline('\t', '%e' % s[0], TxtFile.PM, '%e' % s[1])
f.writeline()
def makeMassFit():
# config files
# file = [mass, path]
files = []
files.append([2.0123, "../data/11_K_m9_3200_t420.txt", 420])
files.append([2.0123, "../data/11b_K_m9_3200_t420.txt", 420])
files.append([1.9047, "../data/13_K_m8_3200_t420.txt", 420])
files.append([1.6812, "../data/15_K_m7_3200_t420.txt", 420])
files.append([1.4827, "../data/17_K_m6_3200_t420.txt", 420])
files.append([1.2952, "../data/19_K_m5_3200_t480.txt", 480])
files.append([1.0993, "../data/21_K_m4_3200_t480.txt", 480])
files.append([0.8086, "../data/23_K_m3_3200_t540.txt", 540])
files.append([0.6954, "../data/25_K_m2_3200_t540.txt", 540])
files.append([0.5007, "../data/27_K_m1_3200_t660.txt", 660])
files.append([0.3030, "../data/29_K_m0_3200_t780.txt", 780])
u = 0.760
tu = 50
d = DataErrors()
for file in files:
n = readSingleEntryFile(file[1])
d.addPoint(file[0], n - u, 0.001, np.sqrt(n / file[2] + u / tu))
d.saveDataToLaTeX(['Masse $m /$g', '$s_m /$g', 'Z\"ahlrate $n / (1/\\text{s})$', '$s_n / (1/\\text{s})$'],
['%.3f', '%.3f', '%.3f', '%.3f'],
'Z\"ahlraten von \\kalium\,f\"ur verschiedene Massen mit Fehlern', 'tab:data:kalium', '../src/data_kalium.tex', 'w')
c = TCanvas('c2', '', 800, 600)
g = d.makeGraph('g', 'Masse m / g', 'Z#ddot{a}hlrate n / (1/s)')
g.SetMaximum(6)
g.SetMinimum(2)
g.Draw('AP')
fit = Fitter('f', '[0]*(1-exp(-[1]*x))')
fit.setParam(0, 'a')
fit.setParam(1, 'b')
fit.fit(g, 0.1, 2.5)
fit.saveData('../fit/kalium.txt')
a = fit.params[0]['value']
sa = fit.params[0]['error']
b = fit.params[1]['value']
sb = fit.params[1]['error']
l = TLegend(0.4, 0.15, 0.85, 0.5)
l.AddEntry('g', '{}^{40} Kalium ohne Untergrund', 'p') # TODO with error bar? (options +'e')
l.AddEntry(fit.function, 'Fit mit n(m)=a(1-exp(-b*m))', 'l')
l.AddEntry(0, '#chi^{2} / DoF : %f' % fit.getChisquareOverDoF(), '')
l.AddEntry(0, 'Paramter:', '')
l.AddEntry(0, 'a: %e #pm %e' % (a, sa), '')
l.AddEntry(0, 'b: %e #pm %e' % (b, sb), '')
l.SetTextSize(0.03)
l.Draw()
NA = 6.02214129e23
hrel = 0.000118
mrel = 39.0983 + 35.45
f = 1.29
rho = fit.getCorrMatrixElem(1, 0)
thalf = (np.log(2) * NA * hrel * f) / (1.12 * mrel * 2 * a * b) / (3600 * 24 * 365.242)
sthalf = thalf * np.sqrt((sa / a) ** 2 + (sb / b) ** 2 + 2 * rho * (sa / a) * (sb / b))
with TxtFile.fromRelPath('../fit/kalium.txt', 'a') as f:
f.writeline()
f.writeline('calculations')
f.writeline('============')
f.writeline('\t', 'half-life of Kalium:', '%e' % thalf, TxtFile.PM, '%e' % sthalf)
c.Update()
c.Print('../img/Kalium40_Massenabhaengigkeit.pdf')
