def main():
squid = loadCSVToList('../calc/bfields_leiterschleife_fit.txt')
theo = loadCSVToList('../calc/bfields_leiterschleife_theo.txt')
resistors = loadCSVToList('../data/resistors.txt')
x = [u / r for r, u in resistors]
sx = [0.01 / r for r, u in resistors]
ysquid, sysquid = zip(*squid)
ytheo, sytheo = zip(*theo)
c = TCanvas('c', '', 1280, 720)
theoData = DataErrors.fromLists(x, ytheo, sx, sytheo)
gTheo = theoData.makeGraph('gTheo', 'Strom I / A', 'Magnetfeld B_{z} / T')
gTheo.SetMarkerColor(2)
gTheo.SetLineColor(2)
gTheo.Draw('AP')
squidData = DataErrors.fromLists(x, ysquid, sx, sysquid)
gSquid = squidData.makeGraph('gSquid', 'Strom I / A', 'Magnetfeld B_{z} / T')
gSquid.Draw('P')
l = TLegend(0.15, 0.7, 0.5, 0.85)
l.SetTextSize(0.03)
l.AddEntry(gSquid, 'gemessene Magnetfeldst#ddot{a}rke B_{z}', 'p')
l.AddEntry(gTheo, 'theoreitsche Magnetfeldst#ddot{a}rke B_{z}', 'p')
l.Draw()
c.Update()
c.Print('../img/compare.pdf', 'pdf')
c.SetLogy()
c.SetLogx()
c.Update()
c.Print('../img/compare_loglog.pdf', 'pdf')
def energyGauge():
dataList = readFileToList('../calc/hg_lines.txt')
elemNames = ['Hg'] * len(dataList)
dataList += readFileToList('../calc/na_lines.txt')
elemNames += ['Na'] * (len(dataList) - len(elemNames))
litVals = readFileToList('../data/hg_litvals.txt')
litVals += readFileToList('../data/na_litvals.txt')
data = DataErrors()
for val, litval in zip(dataList, litVals):
data.addPoint(val, litval, I2Data.ERRORBIN, 0)
c = TCanvas('c', '', 1280, 720)
g = data.makeGraph('g', 'measured wavelength #lambda_{exp} / nm', 'literature value #lambda_{lit} / nm')
g.Draw('AP')
fit = Fitter('f', '[0]+[1]*x')
fit.setParam(0, 'a', 0)
fit.setParam(1, 'b', 1)
fit.fit(g, 420, 600)
fit.saveData('../calc/fit_energy_gauge.txt', 'w')
l = TLegend(0.15, 0.6, 0.5, 0.85)
l.AddEntry(fit.function, 'y = a + b*x', 'l')
fit.addParamsToLegend(l)
l.SetTextSize(0.03)
l.Draw()
c.Update()
c.Print('../img/energy_gauge.pdf', 'pdf')
def evalSigmaChannelDatas(datas):
x = list(zip(*datas))[0]
sx = list(zip(*datas))[1]
y = list(zip(*datas))[2]
sy = list(zip(*datas))[3]
data = DataErrors.fromLists(x, y, sx, sy)
c = TCanvas('c_sc', '', 1280, 720)
g = data.makeGraph('g_sc', 'channel c', '#sigma(channels)')
g.Draw('AP')
c.Update()
c.Print('../img/energieaufloesung_channels.pdf', 'pdf')
ecallist = loadCSVToList('../calc/ecal_sigmas.txt')
x, sx, y, sy = list(zip(*ecallist))
ecaldata = DataErrors.fromLists(x, y, sx, sy)
g.SetMaximum(50)
g.Draw('AP')
gecal = ecaldata.makeGraph('g_ecal', 'channel c', '#sigma(channels)')
gecal.SetMarkerColor(2)
gecal.SetLineColor(2)
gecal.Draw('P')
l = TLegend(0.15, 0.7, 0.5, 0.85)
l.SetTextSize(0.03)
l.AddEntry(g, 'fitted #sigma of LED-Peaks', 'p')
l.AddEntry(gecal, 'fitted #sigma of energy calibration peaks', 'p')
l.Draw()
c.Update()
c.Print('../img/energieaufloesung_channels+ecal.pdf', 'pdf')
def main():
x, y, sy = zip(*loadCSVToList('../calc/part3/Co-Si_mergedbins.txt'))
data = DataErrors.fromLists(x, y, [0]*len(x), sy)
c = TCanvas('c', '', 1280, 720)
g = data.makeGraph('g', 'Kanal k', 'Counts N')
g.SetMarkerStyle(8)
g.SetMarkerSize(0.5)
g.SetLineColor(15)
g.SetLineWidth(0)
g.Draw('AP')
fit = Fitter('f', '1/(sqrt(2*pi*[2]^2))*gaus(0)')
fit.setParam(0, 'A', 50)
fit.setParam(1, 'x_{c}', 690)
fit.setParam(2, 's', 20)
fit.fit(g, 672, 712)
fit.saveData('../calc/part3/fit_Co-Si_01_mergedbins.txt', 'w')
with TxtFile('../calc/part3/fit_Co-Si_01_mergedbins_raw.txt', 'w') as f:
for key, param in fit.params.iteritems():
f.writeline('\t', *map(str, [param['value'], param['error']]))
l = TLegend(0.7, 0.5, 0.95, 0.85)
l.SetTextSize(0.0225)
l.AddEntry(g, 'Gemittelte Messwerte', 'p')
l.AddEntry(fit.function, 'Fit mit', 'l')
l.AddEntry(0, 'N(k) = #frac{A}{#sqrt{2#pi*#sigma^{2}}} exp(- #frac{1}{2} (#frac{x-x_{c}}{#sigma})^{2})', '')
l.AddEntry(0, '', '')
fit.addParamsToLegend(l, chisquareformat='%.2f')
l.Draw()
c.Update()
c.Print('../img/part3/Co-Si_01_mergedbins.pdf', 'pdf')
def loadCrossSection(ctype):
datalist = loadCSVToList('../calc/crosssections_%s.txt' % ctype)
xlist = list(zip(*datalist))[0]
sxlist = [0] * len(xlist)
ylist = list(zip(*datalist))[1]
sylist = list(zip(*datalist))[2]
return DataErrors.fromLists(xlist, ylist, sxlist, sylist)
def main():
z, sz = 840, 40
d = [210, 106, 75]
sd = [10, 4, 4]
calc = list(map(lambda x: -20 * log10(x / z), d))
scalc = list(
map(lambda x: 20 * sqrt((x[1] / x[0])**2 + (sz / z)**2) / log(10),
zip(*[d, sd])))
data = DataErrors.fromLists(calc, [12, 18, 21], scalc, [0] * 3)
c = TCanvas('c', '', 1280, 720)
g = data.makeGraph('g', 'measured attenuation m / dB',
'nominal value n / dB')
g.Draw('AP')
fit = Fitter('fit', 'pol1(0)')
fit.setParam(0, 'a', 0)
fit.setParam(1, 'b', 1)
fit.fit(g, 11, 22)
fit.saveData('../fit/attenuator.txt')
l = TLegend(0.15, 0.6, 0.5, 0.85)
l.SetTextSize(0.03)
l.AddEntry(g, 'measured att. vs. nominal value', 'p')
l.AddEntry(fit.function, 'fit with n = a + b m', 'l')
fit.addParamsToLegend(l, (('%.2f', '%.2f'), ('%.2f', '%.2f')),
chisquareformat='%.4f',
units=['dB', ''],
lang='en')
l.Draw()
c.Update()
c.Print('../img/attenuator.pdf', 'pdf')
def compareSpectrum(prefix, spectrum, litvals):
xlist = list(zip(*spectrum))[0]
sxlist = list(zip(*spectrum))[1]
compData = DataErrors.fromLists(xlist, litvals, sxlist, [0] * len(litvals))
c = TCanvas('c_%s_compspectrum' % prefix, '', 1280, 720)
g = compData.makeGraph('g_%s_compspectrum' % prefix,
'experimentell bestimmte HFS-Aufspaltung #Delta#nu^{exp}_{%s} / GHz' % prefix,
'theoretische HFS-Aufspaltung #Delta#nu^{theo} / GHz')
g.Draw('AP')
fit = Fitter('fit_%s_compspectum' % prefix, 'pol1(0)')
fit.setParam(0, 'a_{%s}' % prefix, 0)
fit.setParam(1, 'b_{%s}' % prefix, 1)
fit.fit(g, compData.getMinX() - 0.5, compData.getMaxX() + 0.5)
if prefix == "up":
l = TLegend(0.15, 0.6, 0.45, 0.85)
else:
l = TLegend(0.15, 0.6, 0.5, 0.85)
l.SetTextSize(0.03)
l.AddEntry(g, 'Spektrum', 'p')
l.AddEntry(fit.function, 'Fit mit #Delta#nu^{theo} = a_{%s} + b_{%s} #Delta#nu^{exp}_{%s}' % (prefix, prefix, prefix), 'l')
fit.addParamsToLegend(l, [('%.2f', '%.2f'), ('%.3f', '%.3f')], chisquareformat='%.2f', units=['GHz', ''])
l.Draw()
c.Update()
if not DEBUG:
c.Print('../img/part2/%s-spectrum.pdf' % prefix, 'pdf')
def loadCrossSection(ctype):
datalist = loadCSVToList('../calc/crosssections_%s.txt' % ctype)
xlist = list(zip(*datalist))[0]
sxlist = [0] * len(xlist)
ylist = list(zip(*datalist))[1]
sylist = list(zip(*datalist))[2]
return DataErrors.fromLists(xlist, ylist, sxlist, sylist)
def fitSigma(sigs, times):
listx, listsx = zip(*times)
listy, listsy = zip(*sigs)
listy = map(abs, listy) # fits can yield negative sigma, because it only occurse to
data = DataErrors.fromLists(listx, listy, listsx, listsy)
c = TCanvas('cSigma', '', 1280, 720)
g = data.makeGraph('Sigma', 'Zeit t / s', 'Standardabweichung #sigma / cm')
g.Draw('AP')
fit = Fitter('fitS', 'sqrt(2*[0]*(x + [1]))')
fit.setParam(0, 'D_{n}', 100)
fit.setParam(1, 't_{0}', 0)
fit.fit(g, 1e-6, 21e-6)
fit.saveData('../calc/part2/dist_fit_sigma.txt')
l = TLegend(0.15, 0.625, 0.45, 0.85)
l.SetTextSize(0.03)
l.AddEntry('Sigma', 'Messung', 'p')
l.AddEntry(fit.function, 'Fit mit #sigma(t) = #sqrt{2*D_{n}*(t + t_{0})}', 'l')
fit.addParamsToLegend(l, [('%.1f', '%.1f'), ('%.2e', '%.2e')], chisquareformat='%.2f')
l.Draw()
if PRINTGRAPHS or True:
c.Update()
c.Print('../img/part2/dist_fitSigma.pdf', 'pdf')
def makeSigmaFit(darkTimes, sigmas):
dt, sdt = list(zip(*darkTimes))
s, ss = list(zip(*sigmas))
data = DataErrors.fromLists(dt, s, sdt, ss)
c = TCanvas('c_sigma', '', 1280, 720)
g = data.makeGraph('g_sigma', 'Dunkelzeit t_{D} / ms', 'Verschmierung #sigma / #mus')
g.Draw('APX')
fit = Fitter('fit_sigma', 'pol1(0)')
fit.setParam(0, 'a', 0)
fit.setParam(1, 'b', 1)
fit.fit(g, 0, 25)
fit.saveData('../fit/sigma.txt')
l = TLegend(0.6, 0.15, 0.85, 0.5)
l.SetTextSize(0.03)
l.AddEntry(g, 'Verschmierung #sigma', 'p')
l.AddEntry(None, 'der Fermi-Verteilung', '')
l.AddEntry(fit.function, 'Fit mit #sigma(t_{D}) = a + b t_{D}', 'l')
fit.addParamsToLegend(l, (('%.2f', '%.2f'), ('%.2f', '%.2f')), chisquareformat='%.2f', units=['#mus', '10^{-3}'])
l.Draw()
g.Draw('P')
c.Print('../img/part6/sigmaFit.pdf', 'pdf')
def makeBFit(darkTimes, Bs):
dt, sdt = list(zip(*darkTimes))
b, sb = list(zip(*Bs))
data = DataErrors.fromLists(dt, b, sdt, sb)
c = TCanvas('c_B', '', 1280, 720)
g = data.makeGraph('g_B', 'Dunkelzeit t_{D} / ms', 'Fitparameter B / V')
g.Draw('APX')
fit = Fitter('fit_B', '[0] + [1] * (1 - exp(-x/[2]))')
fit.function.SetNpx(1000)
fit.setParam(0, 'a', 0.1)
fit.setParam(1, 'b', 0.1)
fit.setParam(2, 'T_{R_{F}}', 6)
fit.fit(g, 0, 25)
fit.saveData('../fit/B.txt')
l = TLegend(0.55, 0.15, 0.85, 0.6)
l.SetTextSize(0.03)
l.AddEntry(g, 'Fitparameter B', 'p')
l.AddEntry(fit.function, 'Fit mit B(t_{D}) = a + b (1 - e^{-x/T_{R_{F}}})', 'l')
fit.addParamsToLegend(l, (('%.3f', '%.3f'), ('%.3f', '%.3f'), ('%.1f', '%.1f')), chisquareformat='%.2f', units=['V', 'V', 'ms'])
l.Draw()
g.Draw('P')
c.Print('../img/part6/BFit.pdf', 'pdf')
def main():
z, sz = 840, 40
d = [210, 106, 75]
sd = [10, 4, 4]
calc = list(map(lambda x:-20 * log10(x/z), d))
scalc = list(map(lambda x:20 * sqrt((x[1]/x[0]) ** 2 + (sz/z)**2) / log(10), zip(*[d, sd])))
data = DataErrors.fromLists(calc, [12, 18, 21], scalc, [0]*3)
c = TCanvas('c', '', 1280, 720)
g = data.makeGraph('g', 'measured attenuation m / dB', 'nominal value n / dB')
g.Draw('AP')
fit = Fitter('fit', 'pol1(0)')
fit.setParam(0, 'a', 0)
fit.setParam(1, 'b', 1)
fit.fit(g, 11, 22)
fit.saveData('../fit/attenuator.txt')
l = TLegend(0.15, 0.6, 0.5, 0.85)
l.SetTextSize(0.03)
l.AddEntry(g, 'measured att. vs. nominal value', 'p')
l.AddEntry(fit.function, 'fit with n = a + b m', 'l')
fit.addParamsToLegend(l, (('%.2f', '%.2f'), ('%.2f', '%.2f')), chisquareformat='%.4f', units=['dB', ''], lang='en')
l.Draw()
c.Update()
c.Print('../img/attenuator.pdf', 'pdf')
def fitA(amps, times):
listx, listsx = zip(*times)
listy, listsy = zip(*amps)
slaser_rel = 0.05
listsy = list(listsy)
for i, y in enumerate(listy):
listsy[i] = y * np.sqrt(listsy[i] ** 2 + slaser_rel ** 2)
data = DataErrors.fromLists(listx, listy, listsx, listsy)
c = TCanvas('cA', '', 1280, 720)
g = data.makeGraph('A', 'Zeit t / s', 'Amplitude A / V')
g.GetYaxis().SetTitleOffset(1.2)
g.Draw('AP')
fit = Fitter('A', '[0]*exp(-(x)/[1])+[2]')
fit.function.SetNpx(1000)
fit.setParam(0, 'C', 5e-8)
fit.setParam(1, '#tau_{n}', 45e-6)
fit.setParam(2, 'a', 0)
fit.fit(g, 7.5e-6, 18e-6)
fit.saveData('../calc/part2/volt_fit_A.txt')
l = TLegend(0.625, 0.625, 0.85, 0.85)
l.SetTextSize(0.03)
l.AddEntry('A', 'Messung', 'p')
l.AddEntry(fit.function, 'Fit mit A(t) = C*e^{- #frac{t}{#tau_{n}}} + a', 'l')
fit.addParamsToLegend(l, [('%.2e', '%.1e'), ('%.2e', '%.1e'), ('%.2e', '%.1e')], chisquareformat='%.2f')
l.Draw()
if PRINTGRAPHS or True:
c.Update()
c.Print('../img/part2/volt_fitA.pdf', 'pdf')
c.SetLogy()
c.Update()
c.Print('../img/part2/volt_fitA_log.pdf', 'pdf')
def evalAngles():
# load data and set errors
datalist = loadCSVToList('../data/angles.txt')
l = len(datalist)
data = DataErrors().fromLists(list(zip(*datalist)[0]), list(zip(*datalist)[1]), ex=[0.5] * l, ey=[0] * l)
data.setYErrorFunc(lambda x: np.sqrt(x))
#draw graph
c = TCanvas('c', '', 1280, 720)
g = data.makeGraph('g', 'Winkel #alpha / #circ', 'Counts N')
g.SetMarkerStyle(1)
g.Draw('AP')
#fit function
fit = Fitter('f', '[0]+gaus(1)')
fit.function.SetNpx(1000) # for smoother curve
fit.setParam(0, 'offset', 35)
fit.setParam(1, 'ampl', 350)
fit.setParam(2, 'theta', 180)
fit.setParam(3, 'sigma', 20)
fit.fit(g, 80, 280)
fit.saveData('../calc/angles.txt', 'w')
fit2 = Fitter('f', '[0]+1/2*[4]*(TMath::Erf(([1]+2*x-2*[2])/(2*sqrt(2)*[3]))+TMath::Erf(([1]-2*x+2*[2])/(2*sqrt(2)*[3])))')
fit2.function.SetNpx(1000) # for smoother curve
fit2.function.SetLineColor(4)
fit2.setParam(0, 'offset', 20)
fit2.setParam(1, 'breite', 20)
fit2.setParam(2, 'theta', 180)
fit2.setParam(3, 'sigma', 5)
fit2.setParam(4, 'amplitude', 350)
fit2.fit(g, 80, 280, '+')
fit2.saveData('../calc/angles_convolution.txt', 'w')
l = TLegend(0.65, 0.55, 0.85, 0.85)
l.AddEntry('g', 'Messwerte', 'p')
l.AddEntry(fit.function, 'Fit mit Gaussverteilung', 'l')
l.AddEntry(0, '#chi^2 / DoF = %.1f' % fit.getChisquareOverDoF(), '')
l.AddEntry(0, '#alpha_{0,g} = (%.1f #pm %.1f) #circ' % (fit.params[2]['value'], fit.params[2]['error']), '')
l.AddEntry(fit2.function, 'Fit mit Faltungsprodukt', 'l')
l.AddEntry(0, '#chi^2 / DoF = %.1f' % fit2.getChisquareOverDoF(), '')
l.AddEntry(0, '#alpha_{0,f} = (%.1f #pm %.1f) #circ' % (fit2.params[2]['value'], fit2.params[2]['error']), '')
l.Draw()
#print to file
c.Update()
c.Print('../img/angles.pdf')
def evalTaus(taus, filters):
data = DataErrors()
table = []
for key, (tau, stau) in taus.items():
invtau = 1 / tau
sinvtau = stau / (tau**2)
int, sint = filters[key]
data.addPoint(int, invtau, sint, sinvtau)
table.append([int * 100, sint * 100, tau * 1000, stau * 1000])
table.sort(key=lambda x: x[0], reverse=True)
# make table
with TxtFile('../src/tab_part5_taus.tex', 'w') as f:
f.write2DArrayToLatexTable(
table, [
r'$I_\text{mess}$ / \%', r'$s_{I_\text{mess}}$ / \%',
r'$\tau$ / ms', r'$s_\tau$ / ms'
], ['%.2f', '%.2f', '%.3f', '%.3f'],
r'Orientierungszeiten $\tau$ des Rubidiumensembles bei verschiedenen Pumpintensitäten $I_{\text{mess}}$.',
'tab:deh:fitres')
# make fit
c = TCanvas('c_taus', '', 1280, 720)
g = data.makeGraph('g_taus', r'relative Intensitaet I_{mess}',
'inverse Orientierungszeit #tau^{ -1} / s^{-1}')
g.Draw('APX')
fit = Fitter('fit_taus', '[0]*x + 1/[1]')
fit.setParam(0, '#alpha', 1)
fit.setParam(1, 'T_{R}', 1)
fit.fit(g, 0, 1.1)
fit.saveData('../fit/part5/taufit.txt')
l = TLegend(0.55, 0.15, 0.85, 0.5)
l.SetTextSize(0.03)
l.AddEntry(g, 'Inverse Orientierungszeit #tau^{ -1}', 'p')
l.AddEntry(fit.function,
'Fit mit #tau^{ -1} (I) = #alpha I + #frac{1}{T_{R}}', 'l')
fit.addParamsToLegend(l, [('%.0f', '%.0f'), ('%.5f', '%.5f')],
chisquareformat='%.2f',
units=['s^{-1}', 's'])
l.Draw()
g.Draw('P')
c.Print('../img/part5/taufit.pdf', 'pdf')
def main():
snu = ERRORS["nu"] # TODO get error
sB = ERRORS["B"]
sgyrorel = 0
files = ["H", "Glycol", "Teflon"]
for file in files:
datalist = loadCSVToList("../data/03-%s.txt" % file)
if len(datalist) == 1:
B, nu = datalist[0]
gyro, sgyro = calcGyro(nu, snu, B, sB)
if not sgyrorel == 0:
sgyro = gyro * sgyrorel
with TxtFile("../calc/%s.txt" % file, "w") as f:
f.writeline("\t", "gyro", *map(str, (gyro, sgyro)))
f.writeline("\t", "mu", *map(str, calcMu(gyro, sgyro)))
f.writeline("\t", "gI", *map(str, calcNucGFactor(gyro, sgyro)))
else:
x, y = zip(*datalist)
sx = [0] * len(x)
sy = [snu] * len(y)
data = DataErrors.fromLists(x, y, sx, sy)
data.setXErrorAbs(sB)
c = TCanvas("c%s" % file, "", 1280, 720)
g = data.makeGraph("g%s" % file, "Magnetfeld B / mT", "Resonanzfrequenz #nu / MHz")
g.Draw("AP")
fit = Fitter("fit%s" % file, "[0]*x")
fit.setParam(0, "m", 0.002)
fit.fit(g, datalist[0][0] * 0.95, datalist[-1][0] * 1.05)
fit.saveData("../calc/fit-%s.txt" % file, "w")
l = TLegend(0.15, 0.60, 0.475, 0.85)
l.SetTextSize(0.03)
l.AddEntry(g, "Messdaten", "p")
l.AddEntry(fit.function, "Fit mit #nu(B) = m*B", "l")
l.AddEntry(0, "", "")
fit.addParamsToLegend(
l,
[("%.5f", "%.5f"), ("%.2f", "%.2f")],
chisquareformat="%.2f",
advancedchi=True,
units=["MHz / mT", "MHz"],
)
l.Draw()
gyro = 2 * np.pi * fit.params[0]["value"] * 1e9 # in Hz / T
sgyro = 2 * np.pi * fit.params[0]["error"] * 1e9 # in Hz / T
sgyrorel = sgyro / gyro
with TxtFile("../calc/%s.txt" % file, "w") as f:
f.writeline("\t", "gyro", *map(str, (gyro, sgyro)))
f.writeline("\t", "sgyrorel", str(sgyrorel))
f.writeline("\t", "mu", *map(str, calcMu(gyro, sgyro)))
f.writeline("\t", "gI", *map(str, calcNucGFactor(gyro, sgyro)))
c.Update()
c.Print("../img/03-%s.pdf" % file, "pdf")
def evalDiode():
datalist = loadCSVToList('../data/part1/Kennlinie.txt')
data = DataErrors()
U0 = datalist[0][1]
sU0 = 0.05 + 0.01 * U0
for I, u in datalist:
U = u - U0
su = 5 + 0.01 * u
sU = sqrt(su**2 + sU0**2)
data.addPoint(I, U, 0.1, sU)
xmin, xmax = 53, 71.5
c = TCanvas('c_diode', '', 1280, 720)
g = data.makeGraph('g_diode', "Laserstrom I_{L} / mA",
"Photodiodenspannung U_{ph} / mV")
g.GetXaxis().SetRangeUser(-5, 90)
g.SetMinimum(-50)
g.SetMaximum(1400)
g.Draw('APX')
# y=0 line
line = TLine(-5, 0, 90, 0)
line.SetLineColor(OPData.CH2ECOLOR)
line.Draw()
data.filterX(xmin, xmax)
g2 = data.makeGraph('g_diode_2', "Laserstrom I_{L} / mA",
"Photodiodenspannung U_{ph} / mV")
g2.SetMarkerColor(OPData.CH1COLOR)
g2.SetLineColor(OPData.CH1COLOR)
fit = Fitter('fit_diode', '[0] * (x-[1])')
fit.function.SetNpx(1000)
fit.setParam(0, 'a', 1)
fit.setParam(1, 'I_{th}', 50)
fit.fit(g2, 40, 77)
fit.saveData('../fit/part1/kennlinie.txt')
l = TLegend(0.15, 0.55, 0.4, 0.85)
l.SetTextSize(0.03)
l.AddEntry(g, 'Laserdiodenkennlinie', 'p')
l.AddEntry(g2, 'Ausschnitt zum Fitten', 'p')
l.AddEntry(fit.function, 'Fit mit U_{ph} = a (I_{ L} - I_{ th} )', 'l')
fit.addParamsToLegend(l, (('%.1f', '%.1f'), ('%.2f', '%.2f')),
chisquareformat='%.2f',
units=['mV/mA', 'mA'])
l.Draw()
g.Draw('P')
g2.Draw('P')
c.Update()
c.Print('../img/part1/diodenkennlinie.pdf', 'pdf')
def evalTaus(taus, filters):
data = DataErrors()
table = []
for key, (tau, stau) in taus.items():
invtau = 1 / tau
sinvtau = stau / (tau ** 2)
int, sint = filters[key]
data.addPoint(int, invtau, sint, sinvtau)
table.append([int * 100, sint * 100, tau * 1000, stau * 1000])
table.sort(key=lambda x: x[0], reverse=True)
# make table
with TxtFile('../src/tab_part5_taus.tex', 'w') as f:
f.write2DArrayToLatexTable(table, [r'$I_\text{mess}$ / \%', r'$s_{I_\text{mess}}$ / \%', r'$\tau$ / ms', r'$s_\tau$ / ms'],
['%.2f', '%.2f', '%.3f', '%.3f'],
r'Orientierungszeiten $\tau$ des Rubidiumensembles bei verschiedenen Pumpintensitäten $I_{\text{mess}}$.',
'tab:deh:fitres')
# make fit
c = TCanvas('c_taus', '', 1280, 720)
g = data.makeGraph('g_taus', r'relative Intensitaet I_{mess}', 'inverse Orientierungszeit #tau^{ -1} / s^{-1}')
g.Draw('APX')
fit = Fitter('fit_taus', '[0]*x + 1/[1]')
fit.setParam(0, '#alpha', 1)
fit.setParam(1, 'T_{R}', 1)
fit.fit(g, 0, 1.1)
fit.saveData('../fit/part5/taufit.txt')
l = TLegend(0.55, 0.15, 0.85, 0.5)
l.SetTextSize(0.03)
l.AddEntry(g, 'Inverse Orientierungszeit #tau^{ -1}', 'p')
l.AddEntry(fit.function, 'Fit mit #tau^{ -1} (I) = #alpha I + #frac{1}{T_{R}}', 'l')
fit.addParamsToLegend(l, [('%.0f', '%.0f'), ('%.5f', '%.5f')], chisquareformat='%.2f', units=['s^{-1}', 's'])
l.Draw()
g.Draw('P')
c.Print('../img/part5/taufit.pdf', 'pdf')
def evalEnergyCalibration(peaks, percents):
maxenergy = 1.95 * 0.87 * 84
smaxenergy = maxenergy * sqrt((0.05 / 1.95)**2 + (0.01 / 0.87)**2 +
(5 / 84)**2)
channels = list(list(zip(*peaks))[0])
schannels = list(list(zip(*peaks))[1])
energies = list(map(lambda x: x / 100 * maxenergy, percents))
senergies = list(map(lambda x: x / 100 * smaxenergy, percents))
print(energies)
print(senergies)
with TxtFile('../src/tab_energycalibration.tex', 'w') as f:
f.write2DArrayToLatexTable(
list(zip(*[percents, channels, schannels, energies, senergies])),
['\% energy', '$c$', '$s_c$', '$E$ / MeV', '$s_E$ / MeV'],
['%d', '%.3f', '%.3f', '%.1f', '%.1f'],
"Channels of fitted peaks and their theoretical energy for the energy calibration.",
"tab:ecal")
data = DataErrors.fromLists(channels, energies, schannels, senergies)
c = TCanvas('c_energycalibration', '', 1280, 720)
g = data.makeGraph('g_energycalibration', 'channel c', 'energy E / MeV')
g.Draw('AP')
fit = Fitter('fit_energycalibration', 'pol1(0)')
fit.function.SetNpx(1000)
fit.setParam(0, 'a', 0)
fit.setParam(1, 'b', 1 / 3)
fit.fit(g, 0, max(channels) + 5)
fit.saveData('../fit/energyCalibration.txt')
l = TLegend(0.15, 0.6, 0.575, 0.85)
l.SetTextSize(0.03)
l.AddEntry(g, 'Peaks of flight through spectra / pedestal', 'p')
l.AddEntry(fit.function, 'fit with E(c) = a + b * c', 'l')
fit.addParamsToLegend(l, (('%.2f', '%.2f'), ('%.3f', '%.3f')),
chisquareformat='%.2f',
units=('MeV', 'MeV / channel'),
lang='en')
l.Draw()
c.Update()
c.Print('../img/energyCalibration.pdf', 'pdf')
with TxtFile('../calc/energyCalibration.txt', 'w') as f:
f.writeline('\t', str(fit.params[0]['value']),
str(fit.params[0]['error']))
f.writeline('\t', str(fit.params[1]['value']),
str(fit.params[1]['error']))
f.writeline('\t', str(fit.getCovMatrixElem(0, 1)))
def evalAngleDependency():
datalist = loadCSVToList(DIR + 'Winkelabh.txt')
data = DataErrors()
strel = 0.01
sI = 1
for t2, t1, n, phi in datalist:
f, sf = calcPrecissionFreq(t2, t1, n)
data.addPoint(phi, f, 0.5, sf)
c = TCanvas('c_phi', '', 1280, 720)
g = data.makeGraph('g_phi', 'Rotation des Strahlengangs #varphi / #circ',
'Praezessionsfrequenz f / kHz')
g.GetXaxis().SetRangeUser(-15, 15)
g.SetMinimum(0)
g.Draw('APX')
fit = Fitter('fit_phi', '[0] * abs(sin((x-[1])*pi/180))')
fit.function.SetNpx(1000)
fit.setParam(0, '#beta', 1)
fit.setParam(1, '#phi_{0}', 0)
fit.fit(g, -15, 15)
fit.saveData('../fit/part4/winkel.txt')
g.Draw('P')
l = TLegend(0.7, 0.15, 0.95, 0.5)
l.SetTextSize(0.03)
l.AddEntry(g, 'Praezessionsfrequenz', 'p')
l.AddEntry(fit.function, 'Fit mit f = #beta |sin(#varphi + #varphi_{0})|',
'l')
fit.addParamsToLegend(l, (('%.1f', '%.1f'), ('%.2f', '%.2f')),
chisquareformat='%.2f',
units=['kHz/#muT', '#circ'])
l.Draw()
c.Update()
c.Print('../img/part4/winkel.pdf', 'pdf')
def printGraph(datas, phi, name='', fit=False):
"""make graph with measured taus for one specific angle phi
Arguments:
datas -- datalists (sorted by series in dictonary)
phi -- angle
name -- additional name for file name
fit -- if true fit data with linear model (default=False)
"""
# setup canvas and legend
c = TCanvas('c_%d' % phi, '', 1280, 720)
if fit:
l = TLegend(0.6, 0.15, 0.85, 0.5)
else:
l = TLegend(0.65, 0.15, 0.85, 0.35)
l.SetTextSize(0.03)
# make and draw graphs, graphs are organized by TMultiGraph
graphs = TMultiGraph()
for s, datalist in datas.iteritems():
data = DataErrors.fromLists(*zip(*datalist))
g = data.makeGraph('g_%d_%d' % (phi, s))
g.SetMarkerColor(seriescolors[s])
g.SetLineColor(seriescolors[s])
l.AddEntry(g, serieslabels[s], 'p')
graphs.Add(g)
graphs.Draw('AP')
gPad.Update()
setMultiGraphTitle(graphs, 'Druck p / mPa', '#tau / ns')
# fit data with linear fit
if fit:
fit = Fitter('fit_%d' % phi, 'pol1(0)')
fit.function.SetNpx(1000)
fit.setParam(0, '#tau_{0}', 119)
fit.setParam(1, 'm', 0.5)
fit.fit(graphs, 0, 225, 'M')
fit.saveData('../calc/fit_tau_%02d%s.txt' % (phi, name), 'w')
l.AddEntry(fit.function, 'Fit mit #tau(p) = #tau_{0} + m * p', 'l')
fit.addParamsToLegend(l, [('%.1f', '%.1f'), ('%.2f', '%.2f')], chisquareformat='%.2f',
advancedchi=True, units=['ns', 'ns / mPa'])
# draw legend and print canvas to file
l.Draw()
c.Update()
c.Print('../img/taus_%02d%s.pdf' % (phi, name), 'pdf')
# return required fit parameter
if fit:
return fit.params[0]['value'], fit.params[0]['error']
def makePeakFreqGraph(peaks, name):
xlist = list(list(zip(*peaks))[0])
sxlist = list(list(zip(*peaks))[1])
ylist = list(map(lambda i: i * 9.924, range(len(peaks))))
sylist = list(map(lambda i: i * 0.03, range(len(peaks))))
direction = name.split('-')[0]
tabledata = list(zip(*[list(range(1, len(xlist) + 1)), list(map(lambda x:x * 1000, xlist)), list(map(lambda x:x * 1000, sxlist)),
ylist, sylist]))
with TxtFile('../src/tab_part2_etalonfreqs_%s.tex' % direction, 'w') as f:
f.write2DArrayToLatexTable(tabledata,
["i", r"$x_i$ / ms", r"$0.2 \cdot s_i$ / ms", r"$\nu_i$ / GHz", r"$s_{\nu_i}$ / GHz"],
["%d", "%.3f", "%.3f", "%.2f", "%.2f"],
"Zentren $x_i$ der gefitteten Cauchy-Funktionen mit Fehler aus den " +
"Breiteparametern $s_i$ und Frequenzdifferenzen zum ersten Peak. ",
"tab:etalon:calib:%s" % direction)
etalonData = DataErrors.fromLists(xlist, ylist, sxlist, sylist)
etalonData.multiplyX(1000)
c = TCanvas('c_pf_' + name, '', 1280, 720)
g = etalonData.makeGraph('g_pf_' + name, 'Zeit t / ms', 'Frequenzabstand #Delta#nu / GHz')
g.SetMinimum(etalonData.getMinY() - 5)
g.SetMaximum(etalonData.getMaxY() + 5)
g.Draw('AP')
fit = Fitter('fit_pf_' + name, 'pol1(0)')
fit.setParam(0, 'a')
fit.setParam(1, 'r')
xmin, xmax = etalonData.getMinX(), etalonData.getMaxX()
deltax = (xmax - xmin) / 10
fit.fit(g, xmin - deltax, xmax + deltax)
fit.saveData('../fit/part2/%s-etalon_calibration.txt' % name)
if fit.params[1]['value'] < 0:
l = TLegend(0.575, 0.6, 0.85, 0.85)
else:
l = TLegend(0.15, 0.6, 0.425, 0.85)
l.SetTextSize(0.03)
l.AddEntry(g, 'Etalonpeaks', 'p')
l.AddEntry(fit.function, 'Fit mit #Delta#nu = a + r * t', 'l')
fit.addParamsToLegend(l, [('%.1f', '%.1f'), ('%.2f', '%.2f')], chisquareformat='%.2f', units=('GHz', 'GHz/ms'))
l.Draw()
c.Update()
if not DEBUG:
c.Print('../img/part2/%s-etalon_calibration.pdf' % name, 'pdf')
return (fit.params[1]['value'], fit.params[1]['error'])
def evalDiode():
datalist = loadCSVToList('../data/part1/Kennlinie.txt')
data = DataErrors()
U0 = datalist[0][1]
sU0 = 0.05 + 0.01 * U0
for I, u in datalist:
U = u - U0
su = 5 + 0.01 * u
sU = sqrt(su ** 2 + sU0 ** 2)
data.addPoint(I, U, 0.1, sU)
xmin, xmax = 53, 71.5
c = TCanvas('c_diode', '', 1280, 720)
g = data.makeGraph('g_diode', "Laserstrom I_{L} / mA", "Photodiodenspannung U_{ph} / mV")
g.GetXaxis().SetRangeUser(-5, 90)
g.SetMinimum(-50)
g.SetMaximum(1400)
g.Draw('APX')
# y=0 line
line = TLine(-5, 0, 90, 0)
line.SetLineColor(OPData.CH2ECOLOR)
line.Draw()
data.filterX(xmin, xmax)
g2 = data.makeGraph('g_diode_2', "Laserstrom I_{L} / mA", "Photodiodenspannung U_{ph} / mV")
g2.SetMarkerColor(OPData.CH1COLOR)
g2.SetLineColor(OPData.CH1COLOR)
fit = Fitter('fit_diode', '[0] * (x-[1])')
fit.function.SetNpx(1000)
fit.setParam(0, 'a', 1)
fit.setParam(1, 'I_{th}', 50)
fit.fit(g2, 40, 77)
fit.saveData('../fit/part1/kennlinie.txt')
l = TLegend(0.15, 0.55, 0.4, 0.85)
l.SetTextSize(0.03)
l.AddEntry(g, 'Laserdiodenkennlinie', 'p')
l.AddEntry(g2, 'Ausschnitt zum Fitten', 'p')
l.AddEntry(fit.function, 'Fit mit U_{ph} = a (I_{ L} - I_{ th} )', 'l')
fit.addParamsToLegend(l, (('%.1f', '%.1f'), ('%.2f', '%.2f')), chisquareformat='%.2f', units=['mV/mA', 'mA'])
l.Draw()
g.Draw('P')
g2.Draw('P')
c.Update()
c.Print('../img/part1/diodenkennlinie.pdf', 'pdf')
def fitXc(volts, times, d, sd):
listx, listsx = zip(*times)
listy = []
listsy = []
for u, su in volts: # convert u to 1/u
y = 1. / u
sy = su / (u ** 2)
listy.append(y)
listsy.append(sy)
data = DataErrors.fromLists(listx, listy, listsx, listsy)
c = TCanvas('cXc', '', 1280, 720)
g = data.makeGraph('xc', 'Zeit t / s', 'reziproke Treibspannung 1/U_{T} / (1/V)')
g.GetYaxis().SetTitleOffset(1.25)
g.Draw('AP')
fit = Fitter('fitXc', '1/[0] + [1]*x')
fit.setParam(0, 'U_{0}', -150)
fit.setParam(1, 'm', 3e-3)
fit.fit(g, 8e-6, 18e-6)
fit.saveData('../calc/part2/volt_fit_xc.txt')
l = TLegend(0.15, 0.55, 0.4, 0.85)
l.SetTextSize(0.03)
l.AddEntry('xc', 'Messung', 'p')
l.AddEntry(fit.function, 'Fit mit #frac{1}{U_{T}} = m*t + #frac{1}{U_{0}}', 'l')
l.AddEntry(0, '', '')
fit.addParamsToLegend(l, [('%.0f', '%.0f'), ('%.0f', '%.0f')], chisquareformat='%.2f')
l.Draw()
if PRINTGRAPHS or True:
c.Update()
c.Print('../img/part2/volt_fitXc.pdf', 'pdf')
# calculate mu
m, sm = fit.params[1]['value'], fit.params[1]['error']
l = 30
mu = m * l * d / 100 # /100 -> from mm in cm
smu = mu * np.sqrt((sm / m) ** 2 + (sd / d) ** 2)
with TxtFile('../calc/part2/volt_mu.txt', 'w') as f:
f.writeline('\t', str(mu), str(smu))
return mu, smu
def evalEnergyCalibration(peaks, percents):
maxenergy = 1.95 * 0.87 * 84
smaxenergy = maxenergy * sqrt((0.05/1.95) ** 2 + (0.01/0.87) ** 2 + (5/84) ** 2 )
channels = list(list(zip(*peaks))[0])
schannels = list(list(zip(*peaks))[1])
energies = list(map(lambda x:x/100*maxenergy, percents))
senergies = list(map(lambda x:x/100*smaxenergy, percents))
print(energies)
print(senergies)
with TxtFile('../src/tab_energycalibration.tex', 'w') as f:
f.write2DArrayToLatexTable(list(zip(*[percents, channels, schannels, energies, senergies])),
['\% energy', '$c$', '$s_c$', '$E$ / MeV', '$s_E$ / MeV'],
['%d', '%.3f', '%.3f', '%.1f', '%.1f'],
"Channels of fitted peaks and their theoretical energy for the energy calibration.", "tab:ecal")
data = DataErrors.fromLists(channels, energies, schannels, senergies)
c = TCanvas('c_energycalibration', '', 1280, 720)
g = data.makeGraph('g_energycalibration', 'channel c', 'energy E / MeV')
g.Draw('AP')
fit = Fitter('fit_energycalibration', 'pol1(0)')
fit.function.SetNpx(1000)
fit.setParam(0, 'a', 0)
fit.setParam(1, 'b', 1/3)
fit.fit(g, 0, max(channels) + 5)
fit.saveData('../fit/energyCalibration.txt')
l = TLegend(0.15, 0.6, 0.575, 0.85)
l.SetTextSize(0.03)
l.AddEntry(g, 'Peaks of flight through spectra / pedestal', 'p')
l.AddEntry(fit.function, 'fit with E(c) = a + b * c', 'l')
fit.addParamsToLegend(l, (('%.2f', '%.2f'), ('%.3f', '%.3f')), chisquareformat='%.2f', units=('MeV', 'MeV / channel'), lang='en')
l.Draw()
c.Update()
c.Print('../img/energyCalibration.pdf', 'pdf')
with TxtFile('../calc/energyCalibration.txt', 'w') as f:
f.writeline('\t', str(fit.params[0]['value']), str(fit.params[0]['error']))
f.writeline('\t', str(fit.params[1]['value']), str(fit.params[1]['error']))
f.writeline('\t', str(fit.getCovMatrixElem(0, 1)))
def makeEnergyGauge(detector, peaks, litvals):
x, sx = zip(*peaks)
data = DataErrors.fromLists(x, litvals, sx, [0] * len(x))
c = TCanvas('c_eg_%s' % detector, '', 1280, 720)
g = data.makeGraph('g_eg_%s' % detector, 'Kanal k', 'Energie E / eV')
g.Draw('AP')
fit = Fitter('f_eg_%s' % detector, 'pol1(0)')
fit.setParam(0, 'a', 0)
fit.setParam(1, 'b')
fit.fit(g, x[0] - 20, x[-1] + 20)
fit.saveData('../calc/part3/energygauge_%s.txt' % detector, 'w')
l = TLegend(0.15, 0.6, 0.4, 0.85)
l.AddEntry(g, 'Messwerte', 'p')
l.AddEntry(fit.function, 'Fit mit E(k) = a + b*k', 'l')
fit.addParamsToLegend(l, [('%.2f', '%.2f'), ('%.4f', '%.4f')], chisquareformat='%.2f')
l.Draw()
c.Update()
if PRINTGRAPHS:
c.Print('../img/part3/energygauge_%s.pdf' % detector, 'pdf')
def main():
times = [2.4, 4.5, 6.25, 8.6]
times_error = [0.02] * len(times)
channels = [113, 223, 315.5, 441]
channels_error = [0.5] * len(times)
with TxtFile('../src/tab_timecalibration.tex', 'w') as f:
f.write2DArrayToLatexTable(list(zip(*[times, times_error, channels, channels_error])),
["$t$ / \\textmu s", "$s_t$ / \\textmu s", "$c$", "$s_c$"],
["%.2f", "%.2f", "%.1f", "%.1f"],
"Measured times and channels with errors for the time calibration.", "tab:tcal")
data = DataErrors.fromLists(channels, times, channels_error, times_error)
c = TCanvas('c', '', 1280, 720)
g = data.makeGraph('g', 'channel c', 'time t / #mus')
g.Draw('APX')
fit = Fitter('fit', 'pol1(0)')
fit.setParam(0, 'a', 0)
fit.setParam(1, 'b', 50)
fit.fit(g, 100, 450)
fit.saveData('../fit/timeCalibration.txt')
l = TLegend(0.15, 0.6, 0.5, 0.85)
l.SetTextSize(0.03)
l.AddEntry(g, 'measurement', 'p')
l.AddEntry(fit.function, 'fit with t(c) = a + b * c', 'l')
fit.addParamsToLegend(l, (('%.2f', '%.2f'), ('%.5f', '%.5f')), chisquareformat='%.2f', units=('#mus', '#mus/channel'), lang='en')
l.Draw()
g.Draw('P')
c.Update()
c.Print('../img/timeCalibration.pdf', 'pdf')
with TxtFile('../calc/timeCalibration.txt', 'w') as f:
f.writeline('\t', str(fit.params[0]['value']), str(fit.params[0]['error']))
f.writeline('\t', str(fit.params[1]['value']), str(fit.params[1]['error']))
f.writeline('\t', str(fit.getCovMatrixElem(0, 1)))
def fitXc(dists, times):
listx, listsx = zip(*times)
listy, listsy = zip(*dists)
data = DataErrors.fromLists(listx, listy, listsx, listsy)
c = TCanvas('cXc', '', 1280, 720)
g = data.makeGraph('xc', 'Zeit t / s', 'x_{c} / mm')
g.SetLineWidth(0)
g.Draw('AP')
fit = Fitter('fitXc', 'pol1(0)')
fit.setParam(0, 'x_{0}', 1)
fit.setParam(1, 'm', 0.5e-6)
fit.fit(g, 1e-6, 23e-6)
fit.saveData('../calc/part2/dist_fit_xc.txt')
l = TLegend(0.15, 0.625, 0.4, 0.85)
l.SetTextSize(0.03)
l.AddEntry('xc', 'Messung', 'p')
l.AddEntry(fit.function, 'Fit mit x_{c}(t) = x_{0}+m*t', 'l')
l.AddEntry(0, '', '')
fit.addParamsToLegend(l, [('%.3f', '%.3f'), ('%.2e', '%.2e')], chisquareformat='%.2f')
l.Draw()
if PRINTGRAPHS or True:
c.Update()
c.Print('../img/part2/dist_fitXc.pdf', 'pdf')
# calculate mu
m, sm = fit.params[1]['value'], fit.params[1]['error']
U, sU = 48.8, P2SemiCon.UERROR
l = 30
mu = m * l / U / 100 # /100 -> from mm in cm
smu = mu * np.sqrt((sm / m) ** 2 + (sU / U) ** 2)
with TxtFile('../calc/part2/dist_mu.txt', 'w') as f:
f.writeline('\t', str(mu), str(smu))
return mu, smu
def makeGraph(xlist, ylist, slist, xerror, yerror, xlabel, ylabel, name, fit=False, fitlabel=""):
""" make graph with optional linear fit
Arguments:
xlist -- list with x-values
ylist -- list with y-values
slist -- list with measurement series
xerror -- absolute error on x-values
yerror -- absolute error on y-values
xlabel -- title of x-axis
ylabel -- title of y-axis
name -- appendix to file name
fit -- if True fits data with linear model (default=False)
fitlabel -- fit function as string for legend
"""
xmin = min(xlist)
xmax = max(xlist)
datas = dict()
for x, y, s in zip(xlist, ylist, slist):
if s in datas:
datas[s].append((x, y, xerror, yerror))
else:
datas[s] = [(x, y, xerror, yerror)]
c = TCanvas("c_%s" % name, "", 1280, 720)
graphs = TMultiGraph()
for s, datalist in datas.iteritems():
data = DataErrors.fromLists(*zip(*datalist))
g = data.makeGraph("g_%s_%d" % (name, s))
g.SetMarkerColor(seriescolors[s])
g.SetLineColor(seriescolors[s])
graphs.Add(g)
graphs.Draw("AP")
gPad.Update()
setMultiGraphTitle(graphs, xlabel, ylabel)
if fit:
fit = Fitter("fit_%s" % name, "pol1(0)")
fit.setParam(0, "a")
fit.setParam(1, "b")
fit.fit(graphs, xmin - 1, xmax + 1)
fit.saveData("../calc/fit_%s.txt" % name, "w")
if fit:
yheight = 0.3
else:
yheight = 0.15
if ylist[0] < ylist[-1]: # /
l = TLegend(0.15, 0.85 - yheight, 0.4, 0.85)
else: # \
l = TLegend(0.6, 0.85 - yheight, 0.85, 0.85)
l.SetTextSize(0.03)
for i, graph in enumerate(graphs.GetListOfGraphs()):
l.AddEntry(graph, serieslabels[i], "p")
if fit:
l.AddEntry(fit.function, "Fit mit %s" % fitlabel, "l")
fit.addParamsToLegend(
l, [("%.2f", "%.2f"), ("%.3f", "%.3f")], chisquareformat="%.2f", advancedchi=True, units=["U", "#Omega"]
)
l.Draw()
c.Update()
c.Print("../img/graph_%s.pdf" % name, "pdf")
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 evalEnergyGauge():
# get data
datalist = funcs.loadCSVToList('../calc/energy_na.txt')
datalist += funcs.loadCSVToList('../calc/energy_co.txt')
datalist += funcs.loadCSVToList('../calc/energy_eu.txt')
#make latex table
elems = ['Na', 'Na', 'Co', 'Co', 'Eu', 'Eu']
with TxtFile('../src/energygauge.tex', 'w') as f:
f.write2DArrayToLatexTable(zip(*([elems] + zip(*datalist))), ['Element', 'Literaturwert / keV', 'Kanal', 'Fehler auf Kanal'],
['%s', '%.0f', '%.2f', '%.2f'], 'Referenzpeaks mit Literaturwerten', 'tab:energygauge')
#convert do DataErrors
datalist = zip(*datalist)
data = DataErrors.fromLists(datalist[1], datalist[0], datalist[2], [0] * len(datalist[0]))
c = TCanvas('c', '', 1280, 720)
g = data.makeGraph('g', 'Kanalnummer', 'Energie / keV')
g.GetXaxis().SetRangeUser(0, 3500)
g.Draw('AP')
fit = Fitter('f', 'pol1(0)')
fit.function.SetNpx(1000)
fit.setParam(0, 'a', 0)
fit.setParam(1, 'b', 0.4)
fit.fit(g, 0, 3500)
fit.saveData('../calc/energy_gauge_lin.txt', 'w')
l = TLegend(0.15, 0.6, 0.5, 0.85)
l.AddEntry('g', 'Referenzpeaks', 'p')
l.AddEntry(fit.function, 'Fit mit y = a + b*x', 'l')
l.AddEntry(0, '#chi^{2} / DoF : %.0f' % fit.getChisquareOverDoF(), '')
l.AddEntry(0, 'Parameter:', '')
l.AddEntry(0, 'a = %.2f #pm %.2f' % (fit.params[0]['value'], fit.params[0]['error']), '')
l.AddEntry(0, 'b = %.5f #pm %.5f' % (fit.params[1]['value'], fit.params[1]['error']), '')
l.Draw()
c.Update()
c.Print('../img/energy_gauge_lin.pdf', 'pdf')
fit2 = Fitter('f', 'pol2(0)')
fit2.function.SetNpx(1000)
fit2.setParam(0, 'a', 0)
fit2.setParam(1, 'b', fit.params[1]['value'])
fit2.setParam(2, 'c', 0)
fit2.fit(g, 0, 3500)
fit2.saveData('../calc/energy_gauge_lin.txt')
l = TLegend(0.15, 0.575, 0.5, 0.85)
l.AddEntry('g', 'Referenzpeaks', 'p')
l.AddEntry(fit2.function, 'Fit mit y = a + b*x + c*x^2', 'l')
l.AddEntry(0, '#chi^{2} / DoF : %.0f' % fit2.getChisquareOverDoF(), '')
l.AddEntry(0, 'Parameter:', '')
l.AddEntry(0, 'a = %.2f #pm %.2f' % (fit2.params[0]['value'], fit2.params[0]['error']), '')
l.AddEntry(0, 'b = %.5f #pm %.5f' % (fit2.params[1]['value'], fit2.params[1]['error']), '')
l.AddEntry(0, 'c = %.8f #pm %.8f' % (fit2.params[2]['value'], fit2.params[2]['error']), '')
l.Draw()
c.Update()
c.Print('../img/energy_gauge_quad.pdf', 'pdf')
#write raw data for reuse
with TxtFile('../calc/energy_gauge_raw.txt', 'w') as f:
f.writeline('\t', str(fit2.params[0]['value']), str(fit2.params[0]['error']))
f.writeline('\t', str(fit2.params[1]['value']), str(fit2.params[1]['error']))
f.writeline('\t', str(fit2.params[2]['value']), str(fit2.params[2]['error']))
f.writeline(str(fit2.getCorrMatrixElem(0, 1))) #a, b
f.writeline(str(fit2.getCorrMatrixElem(0, 2))) #a, c
f.writeline(str(fit2.getCorrMatrixElem(1, 2))) #b, c
def subtractUnderground(self, a, b, sa, sb, rho):
u = DataErrors()
for x, sx in zip(self.getX(), self.getEX()):
u.addPoint(x, a + b * x, sx, sa ** 2 + (x * sb) ** 2 + (b * sx) ** 2 + sa * sb * rho * x)
self.points = (self - u).points
def eval():
data1 = PockData.fromPath('../data/%s.tab' % 'pock_gleich_01', 2)
data2 = PockData.fromPath('../data/%s.tab' % 'pock_gleich_02', 2)
data3 = PockData.fromPath('../data/%s.tab' % 'pock_gleich_03', 2)
data4 = PockData.fromPath('../data/%s.tab' % 'pock_gleich_01', 1)
L0 = [0]*data1.getLength()
Ly1 = [0.41]*data1.getLength()
Ly2 = [0.31]*data1.getLength()
Ly3 = [0.14]*data1.getLength()
Ly4 = [0]*data1.getLength()
Offset1 = DataErrors.fromLists(L0, Ly1, L0, L0)
Offset2 = DataErrors.fromLists(L0, Ly2, L0, L0)
Offset3 = DataErrors.fromLists(L0, Ly3, L0, L0)
Offset4 = DataErrors.fromLists(L0, Ly4, L0, L0)
data1 += Offset1
data2 += Offset2
data3 += Offset3
data4 += Offset4
c = TCanvas('c', '', 1280, 720)
g1 = data1.makeGraph('g1', 'Zeit t / s', 'Spannung U / V')
g1.SetMarkerStyle(8)
g1.SetMarkerSize(0.5)
g1.SetMarkerColor(65)
g1.GetXaxis().SetRangeUser(0, 0.005)
g1.SetMinimum(-0.08)
g1.SetMaximum(0.45)
g1.Draw('AP')
g2 = data2.makeGraph('g2', 'Zeit t / s', 'Spannung U / V')
g2.SetMarkerStyle(8)
g2.SetMarkerSize(0.5)
g2.SetMarkerColor(60)
g2.Draw('P')
g3 = data3.makeGraph('g3', 'Zeit t / s', 'Spannung U / V')
g3.SetMarkerStyle(8)
g3.SetMarkerSize(0.5)
g3.SetMarkerColor(53)
g3.Draw('P')
g4 = data4.makeGraph('g4', 'Zeit t / s', 'Spannung U / V')
g4.SetMarkerStyle(8)
g4.SetMarkerSize(0.5)
g4.SetMarkerColor(2)
g4.Draw('P')
l = TLegend(0.63, 0.51, 0.87, 0.87)
l.SetTextSize(0.027)
l.AddEntry('g1', 'Photodiodensignal,', 'p')
l.AddEntry('', 'U_{G} = 120 V', '')
l.AddEntry('g2', 'Photodiodensignal,', 'p')
l.AddEntry('', 'U_{G} = 122 V', '')
l.AddEntry('g3', 'Photodiodensignal,', 'p')
l.AddEntry('', 'U_{G} = 128 V', '')
l.AddEntry('g4', 'Wechselsignal vom', 'p')
l.AddEntry('', 'Sinusgenerator mit', '')
l.AddEntry('', 'Frequenz #omega', '')
l.SetFillColor(0)
l.Draw()
c.Update()
c.Print('../img/%s.pdf' % 'pockdurchf', 'pdf')
def eval():
data1 = PockData.fromPath('../data/%s.tab' % 'pock_licht_01', 1)
data2 = PockData.fromPath('../data/%s.tab' % 'pock_licht_02', 1)
data3 = PockData.fromPath('../data/%s.tab' % 'pock_licht_03', 1)
data4 = PockData.fromPath('../data/%s.tab' % 'pock_licht_04', 1)
L0 = [0]*data1.getLength()
Ly1 = [0]*data1.getLength()
Ly2 = [0.03]*data1.getLength()
Ly3 = [0.08]*data1.getLength()
Ly4 = [0.17]*data1.getLength()
Offset1 = DataErrors.fromLists(L0, Ly1, L0, L0)
Offset2 = DataErrors.fromLists(L0, Ly2, L0, L0)
Offset3 = DataErrors.fromLists(L0, Ly3, L0, L0)
Offset4 = DataErrors.fromLists(L0, Ly4, L0, L0)
data1 += Offset1
data2 += Offset2
data3 += Offset3
data4 += Offset4
c = TCanvas('c', '', 1280, 720)
g1 = data1.makeGraph('g1', 'Zeit t / s', 'Spannung U / V')
g1.SetMarkerStyle(8)
g1.SetMarkerSize(0.5)
g1.SetMarkerColor(1)
g1.GetXaxis().SetRangeUser(0, 0.1)
g1.SetMinimum(-0.02)
g1.SetMaximum(0.25)
g1.Draw('AP')
g2 = data2.makeGraph('g2', 'Zeit t / s', 'Spannung U / V')
g2.SetMarkerStyle(8)
g2.SetMarkerSize(0.5)
g2.SetMarkerColor(100)
g2.Draw('P')
g3 = data3.makeGraph('g3', 'Zeit t / s', 'Spannung U / V')
g3.SetMarkerStyle(8)
g3.SetMarkerSize(0.5)
g3.SetMarkerColor(95)
g3.Draw('P')
g4 = data4.makeGraph('g4', 'Zeit t / s', 'Spannung U / V')
g4.SetMarkerStyle(8)
g4.SetMarkerSize(0.5)
g4.SetMarkerColor(89)
g4.Draw('P')
l = TLegend(0.63, 0.51, 0.87, 0.87)
l.SetTextSize(0.027)
l.AddEntry('g4', 'Licht an,', 'p')
l.AddEntry('', 'ohne Abschirmung', '')
l.AddEntry('g3', 'Licht an,', 'p')
l.AddEntry('', 'mit Papier als Abschirmung', '')
l.AddEntry('g2', 'Licht an,', 'p')
l.AddEntry('', 'mit Tuch als Abschirmung', '')
l.AddEntry('g1', 'Licht aus,', 'p')
l.AddEntry('', 'mit Tuch als Abschirmung', '')
l.SetFillColor(0)
l.Draw()
c.Update()
c.Print('../img/%s.pdf' % 'licht', 'pdf')
def evalSpinPrecission(name):
datalist = loadCSVToList(DIR + name + '.txt')
data = DataErrors()
sI = 1
for t2, t1, n, I in datalist:
f, sf = calcPrecissionFreq(t2, t1, n)
B, sB = inductorIToB(4, I * 1e-3, sI * 1e-3)
data.addPoint(B * 1e6, f, sB * 1e6, sf)
if len(name) == 4:
xmin, xmax = 0, 50
else:
xmin, xmax = 0, 80
c = TCanvas('c_%s' % name, '', 1280, 720)
g = data.makeGraph('g_%s' % name,
'Zusaetzliches Vertikalfeld B_{S, v} / #muT',
'Praezessionsfrequenz f / kHz')
g.GetXaxis().SetRangeUser(xmin, xmax)
g.Draw('APX')
fit1 = Fitter('fit1_%s' % name, '[0] * abs([1]-x)')
fit1.function.SetNpx(1000)
fit1.setParam(0, '#alpha', 1)
fit1.setParam(1, 'B_{E, v}', 40)
fit1.fit(g, xmin, xmax)
fit1.saveData('../fit/part4/fit1_%s' % name)
fit2 = Fitter('fit1_%s' % name, '[0] * (abs([1]-x) + [2])')
fit2.function.SetNpx(1000)
fit2.function.SetLineColor(3)
fit2.setParam(0, '#alpha', 1)
fit2.setParam(1, 'B_{E, v}', 40)
fit2.setParam(2, 'B_{E,h,s}', 20)
fit2.setParamLimits(2, 0, 100)
fit2.fit(g, xmin, xmax, '+')
fit2.saveData('../fit/part4/fit2_%s' % name)
g.Draw('P')
if len(name) == 4:
l = TLegend(0.6, 0.4, 0.975, 0.95)
else:
l = TLegend(0.325, 0.475, 0.725, 0.99)
l.SetTextSize(0.03)
l.AddEntry(g, 'Praezessionsfrequenzen', 'p')
l.AddEntry(fit1.function,
'Fit mit f_{1}(B_{S, v}) = #alpha |B_{E, v} - B_{S, v}|', 'l')
fit1.addParamsToLegend(l, (('%.2f', '%.2f'), ('%.2f', '%.2f')),
chisquareformat='%.2f',
units=['kHz/#muT', '#muT'])
l.AddEntry(
fit2.function,
'Fit mit f_{2}(B_{S, v}) = #alpha (|B_{E, v} - B_{S, v}| + B_{E,h,s})',
'l')
fit2.addParamsToLegend(l, (('%.2f', '%.2f'), ('%.2f', '%.2f'),
('%.2f', '%.2f')),
chisquareformat='%.2f',
units=['kHz/#muT', '#muT', '#muT'])
l.Draw()
c.Update()
c.Print('../img/part4/%s.pdf' % name, 'pdf')
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')
