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index 100% rename from data/digitized/expData_zech_aStructuralModelFor_wBand.mat rename to data/digitized/expData_zech_aStructuralModelFor_wBandDeut.mat diff --git a/data/digitized/expData_zech_aStructuralModelFor_xBand.csv b/data/digitized/expData_zech_aStructuralModelFor_xBandDeut.csv similarity index 100% rename from data/digitized/expData_zech_aStructuralModelFor_xBand.csv rename to data/digitized/expData_zech_aStructuralModelFor_xBandDeut.csv diff --git a/data/digitized/expData_zech_aStructuralModelFor_xBand.mat b/data/digitized/expData_zech_aStructuralModelFor_xBandDeut.mat similarity index 100% rename from data/digitized/expData_zech_aStructuralModelFor_xBand.mat rename to data/digitized/expData_zech_aStructuralModelFor_xBandDeut.mat diff --git a/from_bittl/PSI_trEPR/p2.txt b/from_bittl/PSI_trEPR/p2.txt index c0c5c0ba04927c23fb1499c3fab70b49c24ae354..c3c453b47988d841277056f871152524437315f5 100755 --- a/from_bittl/PSI_trEPR/p2.txt +++ b/from_bittl/PSI_trEPR/p2.txt @@ -1,14 +1,14 @@ -9700. MIKROWELLEN-FREQUENZ -3436. 3476. 501 MAGNETFELD -91 91 GENAUIGKEIT -2.00300 0.00000 0.00000 -0.00000 2.00260 0.00000 -0.00000 0.00000 2.00230 G-TENSOR P700+ -0.35 LINIENBREITE P +94000. MIKROWELLEN-FREQUENZ +33455. 33566.2 301 MAGNETFELD +181 91 GENAUIGKEIT +2.00308 0.00000 0.00000 +0.00000 2.00263 0.00000 +0.00000 0.00000 2.00225 G-TENSOR P700+ +3.1 LINIENBREITE P 2.00620 0.00000 0.00000 -0.00000 2.00510 0.00000 +0.00000 2.00507 0.00000 0.00000 0.00000 2.00220 G-TENSOR Qb- -0.35 LINIENBREITE Q +2.5 LINIENBREITE Q Q REFERENZSYSTEM 0.0 90.0 PHI,THETA 83.0 128.0 10.0 ALPHA,BETA,GAMMA @@ -20,14 +20,14 @@ test2 OUTPUT_FILENAME 31.25 512 MAX.ESEEM-FT-FREQUENZ,FREQ-PUNKTE 256 HYPERFEIN_SCHRITTE 0. LORENTZ_BREITE(MHz) -0 ANZAHL_DER_PROTONEN_AM_A1- +3 ANZAHL_DER_PROTONEN_AM_A1- -10.25 -1.472 0.000 -1.472 -11.95 0.000 0.000 0.000 -9.000 0 ANZAHL_DER_PROTONEN_AM_P+ - 0.1 0.0 0.0 - 0.0 0.1 0.0 - 0.0 0.0 0.1 + 0. 0.0 0.0 + 0.0 0. 0.0 + 0.0 0.0 0. 10.25 1.472 0.000 1.472 11.95 0.000 @@ -38,3 +38,5 @@ test2 OUTPUT_FILENAME 0.0 0.0 -3.5 HFC Tensor A1- (9.4,12.8,9.0) 30 grd gedreht. + 3436. 3476. 501 MAGNETFELD + diff --git a/from_bittl/PSI_trEPR/test2_Pabs.asc b/from_bittl/PSI_trEPR/test2_Pabs.asc index 0a63433e3e07e0f40183c4f78f349c11226943e3..66169516cdc8f1d41dfde74a9bb1329a671d5dc0 100755 --- a/from_bittl/PSI_trEPR/test2_Pabs.asc +++ b/from_bittl/PSI_trEPR/test2_Pabs.asc @@ -1,501 +1,301 @@ -3436.000 0.000000000 -3436.080 0.000000000 -3436.160 0.000000000 -3436.240 0.000000000 -3436.320 0.000000000 -3436.400 0.000000000 -3436.480 0.000000000 -3436.560 0.000000000 -3436.640 0.000000000 -3436.720 0.000000000 -3436.800 0.000000000 -3436.880 0.000000000 -3436.960 0.000000000 -3437.040 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0.000000000 +33559.899 0.000000000 +33560.269 0.000000000 +33560.640 0.000000000 +33561.011 0.000000000 +33561.381 0.000000000 +33561.752 0.000000000 +33562.123 0.000000000 +33562.493 0.000000000 +33562.864 0.000000000 +33563.235 0.000000000 +33563.605 0.000000000 +33563.976 0.000000000 +33564.347 0.000000000 +33564.717 0.000000000 +33565.088 0.000000000 +33565.459 0.000000000 +33565.829 0.000000000 +33566.200 0.000000000 diff --git a/util/averageOverSolidAngle.asv b/util/averageOverSolidAngle.asv new file mode 100644 index 0000000000000000000000000000000000000000..f811bd0da4de3e7db18505115ee269fdbed083ae --- /dev/null +++ b/util/averageOverSolidAngle.asv @@ -0,0 +1,19 @@ +function outV = averageOverSolidAngle(inV, nTheta, nPhi, dim) + +[thetas, ~] = createthetaphigrid(nTheta, nPhi); + +if numel(dim) == 1 + thetas = repmat(thetas, [nPhi, 1]); + weight = sin(thetas)/sum(thetas); + size(weight) + outV = sum(weight.*inV, dim); + outV = squeeze(outV); +else + weight = sin(thetas)/sum(sin(thetas)*ones(1, nPhi), 'all'); + + weight = reshape(weight, [ones(1, dim(1) - 1), nTheta]); + outV = sum(weight.*inV, dim); + outV = squeeze(outV); +end +end + diff --git a/util/averageoversolidangle.m b/util/averageoversolidangle.m new file mode 100644 index 0000000000000000000000000000000000000000..8562386d0a8df6ec390bb9fc77c18de13f5beda7 --- /dev/null +++ b/util/averageoversolidangle.m @@ -0,0 +1,22 @@ +function outV = averageoversolidangle(inV, nTheta, nPhi, dim) + +[thetas, ~] = createthetaphigrid(nTheta, nPhi); + +if numel(dim) == 1 + thetas = repmat(thetas, [nPhi, 1]); + weight = sin(thetas); + weight = weight/sum(weight); + + weight = reshape(weight, [ones(1, dim - 1), nTheta*nPhi]); + + outV = sum(weight.*inV, dim); + outV = squeeze(outV); +else + weight = sin(thetas)/sum(sin(thetas)*ones(1, nPhi), 'all'); + + weight = reshape(weight, [ones(1, min(dim(1) - 1, 1)), nTheta]); + outV = sum(weight.*inV, dim); + outV = squeeze(outV); +end +end + diff --git a/util/calculateaplusaminusnohfi.m b/util/calculateaplusaminusnohfi.m new file mode 100755 index 0000000000000000000000000000000000000000..6812780df45ce78e4c9dcccd814fe9a5f1528485 --- /dev/null +++ b/util/calculateaplusaminusnohfi.m @@ -0,0 +1,13 @@ +function [APlus, AMinus] = calculateaplusaminusnohfi(A, AFrame, nVers) + % For spin 1 + Ahfi1Tensor = rotatematrixeuangles(diag(A(1, 1:3)), AFrame(1, 1:3)); + Ahfi1 = squeeze( ... + sqrt( sum( (pagemtimes(Ahfi1Tensor', nVers)).^2))); + % For spin 2 + Ahfi2Tensor = rotatematrixeuangles(diag(A(1, 4:6)), AFrame(1, 4:6)); + Ahfi2 = squeeze( ... + sqrt( sum( (pagemtimes(Ahfi2Tensor', nVers)).^2))); + + APlus = (Ahfi1 + Ahfi2)/2; % MHz + AMinus = (Ahfi1 - Ahfi2)/2; % MHz +end \ No newline at end of file diff --git a/util/creategaxisinhbroadening.m b/util/creategaxisinhbroadening.m new file mode 100755 index 0000000000000000000000000000000000000000..17266ab7ab135e04ac0b66faea988772649910e9 --- /dev/null +++ b/util/creategaxisinhbroadening.m @@ -0,0 +1,11 @@ +function [gax, gInh] = creategaxisinhbroadening(g, glw, dgax) +% [gax, gInh] = creategaxisinhbroadening(g, glw, dgax) +% Here glw1 and glw2 are the lwpp, therefore the variance will be +% lwpp*2 +gax = (g - glw):dgax:(g + glw); + +% Inhomogeneously broadened gaussian distributions +normTerm = sqrt(2/pi)/glw; +gInh = normTerm*exp(-2 * (gax - g).^2 ./ glw^2); + +end \ No newline at end of file diff --git a/util/createthetaphigrid.m b/util/createthetaphigrid.m new file mode 100755 index 0000000000000000000000000000000000000000..85190b90c08befda1f2f1fbf8676134b45733b19 --- /dev/null +++ b/util/createthetaphigrid.m @@ -0,0 +1,13 @@ +function [thetas, phis] = createthetaphigrid(nTheta, nPhi) +% [thetas, phis] = createthetaphigrid(nTheta, nPhi) +% +% Output thetas (nTheta, 1) and phis (nPhi, 1) in the interval from 0 to pi +% Note: avoids theta = 0 and theta = pi. Avoids phi = pi. + +thetas = linspace(0, 180, nTheta + 2)*pi/180; +thetas = thetas(2:end - 1); +thetas = thetas'; +phis = linspace(0, 180, nPhi + 1)*pi/180; +phis = phis(1:end - 1); +end + diff --git a/util/dipinteraction.m b/util/dipinteraction.m new file mode 100644 index 0000000000000000000000000000000000000000..c41d61fb9b583a92c8f77690de8afb91ebfa2ec4 --- /dev/null +++ b/util/dipinteraction.m @@ -0,0 +1,8 @@ +function dd = dipinteraction(dip, nVers, zD) +% dd = dipinteraction(dip, nVers, zD) +% +% Dipolar interaction +% Makes use of the fact that cos(thetaD) = dotProduct(B0, zD) +dd = dip*((sum(nVers.*zD)).^2 - 1/3); +end + diff --git a/util/freq2gvalue.m b/util/freq2gvalue.m new file mode 100755 index 0000000000000000000000000000000000000000..73c12e8729fcba11733b0fc8c5cfdd6182bd2a18 --- /dev/null +++ b/util/freq2gvalue.m @@ -0,0 +1,6 @@ +function g = freq2gvalue(B0, freq) +% g = freq2gvalue(B0, freq) +% +% B0 in mT, freq in MHz +g = planck/bmagn/B0*freq*1e9; +end diff --git a/util/gaussianresonancebsweep.m b/util/gaussianresonancebsweep.m new file mode 100755 index 0000000000000000000000000000000000000000..43a73daaa856270cb231d704a70d480baaaea630 --- /dev/null +++ b/util/gaussianresonancebsweep.m @@ -0,0 +1,12 @@ +function y1 = gaussianresonancebsweep(wReson, mwFreq, c, mode) + arguments + wReson + mwFreq + c (1, 1) double + mode string = "lwpp" + end + + normTerm = sqrt(2/pi)/c; + y1 = normTerm*exp(-2 * (wReson - mwFreq).^2 ./ c^2); + +end diff --git a/util/gvalue2freq.m b/util/gvalue2freq.m new file mode 100755 index 0000000000000000000000000000000000000000..f107ae70fd4bc10f7d9f1e5686a850594d796a2d --- /dev/null +++ b/util/gvalue2freq.m @@ -0,0 +1,6 @@ +function freq = gvalue2freq(B0, g) +% freq = gvalue2freq(B0, g) +% +% B0 in mT, output freq in MHz +freq = bmagn*B0/planck*g*1e-9; +end \ No newline at end of file diff --git a/util/mixinganglexi.m b/util/mixinganglexi.m new file mode 100644 index 0000000000000000000000000000000000000000..13357f0dfc414c8f148ca3cf78cd55ab77d5a664 --- /dev/null +++ b/util/mixinganglexi.m @@ -0,0 +1,9 @@ +function xi = mixinganglexi(deltaw, JJ, dd) +%MIXINGANGLEXI Summary of this function goes here +% Detailed explanation goes here +% if size(deltaw) ~= size(dd) + + +xi = atan( (dd/2 + JJ) ./ deltaw); +end + diff --git a/util/mytrepr.m b/util/mytrepr.m new file mode 100755 index 0000000000000000000000000000000000000000..de22cc5d3b06d6eab042c9aaf452e1fbf8cea0c3 --- /dev/null +++ b/util/mytrepr.m @@ -0,0 +1,7 @@ +function [outputArg1,outputArg2] = mytrepr(inputArg1,inputArg2) +%MYTREPR Summary of this function goes here +% Detailed explanation goes here +outputArg1 = inputArg1; +outputArg2 = inputArg2; +end + diff --git a/util/mytreprmf.m b/util/mytreprmf.m new file mode 100755 index 0000000000000000000000000000000000000000..8b1901477b290ba850c50b5c4d1a9bcf5aeed7f5 --- /dev/null +++ b/util/mytreprmf.m @@ -0,0 +1,7 @@ +function [outputArg1,outputArg2] = ytreprmf(inputArg1,inputArg2) +%YTREPRMF Summary of this function goes here +% Detailed explanation goes here +outputArg1 = inputArg1; +outputArg2 = inputArg2; +end + diff --git a/util/restrictgaussianfactor.m b/util/restrictgaussianfactor.m new file mode 100755 index 0000000000000000000000000000000000000000..91c67bc95b96a339bd75f01d9dcb37bca31a35af --- /dev/null +++ b/util/restrictgaussianfactor.m @@ -0,0 +1,18 @@ +function [newMatr, idxs1, idxs2] = restrictgaussianfactor(matr, xx1, xx2) +% [newMatr, idxs1, idxs2] = restrictgaussianfactor(matr, xx1, xx2) + [~, idxMax1] = max(xx1); + [~, idxMax2] = max(xx2); + [~, idxFwhm1] = min(abs(matr(:, idxMax2) - max(matr(:))/2)); + idxDxFwhm1 = abs(idxMax1 - idxFwhm1); + [~, idxFwhm2] = min(abs(matr(idxMax1, :) - max(matr(:))/2)); + idxDxFwhm2 = abs(idxMax2 - idxFwhm2); + + xxFactor = 2; + dx1 = round(xxFactor*idxDxFwhm1); + dx2 = round(xxFactor*idxDxFwhm2); + idxs1 = max(idxMax1 - dx1, 1):... + min(idxMax1 + dx1, numel(xx1)); + idxs2 = max(idxMax2 - dx2, 1):... + min(idxMax2 + dx2, numel(xx1)); + newMatr = matr(idxs1, idxs2); +end diff --git a/util/rotatematrixeuangles.m b/util/rotatematrixeuangles.m new file mode 100755 index 0000000000000000000000000000000000000000..3fcf0bd2a6de43e5a67898e4cdb1bddae6535d89 --- /dev/null +++ b/util/rotatematrixeuangles.m @@ -0,0 +1,9 @@ +function newMat = rotatematrixeuangles(mat, euAngles) +% newMat = rotatematrixeuangles(mat, euAngles) +% +% euAngles are the ones given in the Easyspin convention + +euMatrix = erot(euAngles)'; +newMat = euMatrix*mat*transpose(euMatrix); +end + diff --git a/zech_gBroadening_leastSquareFit.asv b/zech_gBroadening_leastSquareFit.asv deleted file mode 100644 index eb9a203f381abaee8aa229dd68f264b0b9386a29..0000000000000000000000000000000000000000 --- a/zech_gBroadening_leastSquareFit.asv +++ /dev/null @@ -1,380 +0,0 @@ -% -clearvars -addpath(genpath('S:\soft\matlab\')) -addpath(genpath('/net/storage/gianlum33/soft/matlab/')) - -%% Easyspin simulation - -% Taken from Easyspin example -Sys.S = [1/2 1/2]; -Sys.g = [2.0030 2.0026 2.0023; ... % P700+ - 2.0062 2.0051 2.0022]; % A1- -Sys.gFrame = [-10 -128 -83; ... - 0 0 0]*pi/180; -Sys.eeFrame = [0 90 0]*pi/180; % zD direction is along -x of A1- - -Sys.J = (-1/2)*unitconvert(1e-3,'mT->MHz'); % MHz -Sys.dip = unitconvert(0.170,'mT->MHz')/1.5; % MHz -Sys.initState = 'singlet'; - -fieldAxis = linspace(343.635, 347.635, 301); % GHz -mwFreq = 9.7; % GHz - -Opt.GridSize = [91 0]; -Opt.GridSymmetry = ''; - -% Field sweep -Exp.CenterSweep = [mean(fieldAxis), max(fieldAxis) - min(fieldAxis)]; -Exp.mwFreq = mwFreq; -Exp.Harmonic = 0; -Exp.nPoints = numel(fieldAxis); - -Sys.lwpp = 0.35; % mT - -ySim = pepper(Sys, Exp, Opt); -ySim = ySim/max(abs(ySim)); - -clf -plot(fieldAxis, ySim) - -%% My powder average (only for equivalent nuclei) - -mySys.g = Sys.g; -mySys.gFrame = Sys.gFrame; -mySys.dip = mt2mhz(-0.170); % MHz -mySys.J = mt2mhz(1e-3); % MHz -mySys.eeFrame = Sys.eeFrame; -mySys.nNuc = 3; -mySys.A = [0, 0, 0, 9, 9.4, 12.8]; % MHz -mySys.AFrame = [0 0 0 60 -90 0]*pi/180; -mySys.lw1 = 3.785; % mT -mySys.lw1 = 1.5; % mT -mySys.lw2 = 0.323; % mT -mySys.lw2 = 0.35; % mT -% mySys.mwFreq = mwFreq; -% mySys.x = fieldAxis; -mySys.nTheta = 20; -mySys.nPhi = 10; - -% tic -% [myySim, gax, gInh1, gInh2, gax1, gInh11, gax2, gInh22] = mytrepr(mySys); - -% myySim = mytrepr(mySys); -% toc - -% hold on -% plot(fieldAxis, myySim) - -% FitOpt.maxTime = 0.1; -FitOpt.TolFun = 1e-4; -FitOpt.TolEdgeLength = 1e-4; -FitOpt.CalculateUncertainties = 0; - -% load('S:/projects/zech_psi/data/processed/ZePSI-E-007015.mat'); -% % clf -% % h = ScrollableAxes(); -% % plot(h, x{2}, x{1}, y'); -% xdata = x{2}/10; % mT -% ydata = y(500, :); -% ydata = ydata/max(abs(ydata)); -% -% clf -% plot(ydata) -% hold on -% plot(myySim) - -%% - -pathFolder = "/net/storage/gianlum33/projects/oop_ciss_calculations/" + ... - "data/digitized/"; -pathX = pathFolder + "expData_zech_aStructuralModelFor_xBand.mat"; -pathQ = pathFolder + "expData_zech_aStructuralModelFor_qBand.mat"; -pathW = pathFolder + "expData_zech_aStructuralModelFor_wBand.mat"; - -importedData = load(pathX); -xX = importedData.x; -yX = importedData.y; -importedData = load(pathQ); -xQ = importedData.x; -yQ = importedData.y; -importedData = load(pathW); -xW = importedData.x; -yW = importedData.y; - - -Vary.lw1 = 1; -Vary.lw2 = 0.3; - -ydata = {yX, yQ}; -mySys.mwFreqX = 9.7; -mySys.mwFreqQ = 34; -mySys.xX = fieldAxis; -mySys.xQ = fieldAxis*mySys.mwFreqQ/mySys.mwFreqQ; - -tic -ySim = mytreprXQW(mySys); -%Fit = -% esfit(ydata, @mytreprXQW, {mySys}, {Vary}, FitOpt); -toc -%% -clf -plot(ydata) -hold on -plot(Fit.fit) - -ydata = {yX, yQ}; - - -%% - -function data = mytreprXQW(Sys) -Sys.mwFreq = Sys.mwFreqX; -Sys.x = Sys.xX; -data{1} = mytrepr(Sys); -Sys.mwFreq = Sys.mwFreqQ; -Sys.x = Sys.xQ; -data{2} = mytrepr(Sys); -% Sys.mwFreq = Sys.mwFreqW; -% Sys.x = Sys.xW; -% data{3} = mytrepr(Sys); -end - -% function [ySim, gax, gInh1, gInh2, gax1, gInh11, gax2, gInh22] = mytrepr(Sys) -function ySim = mytrepr(Sys) - fieldAxis = Sys.x; - Bmean = mean(fieldAxis); - dip = Sys.dip; - JJ = Sys.J; - mwFreq = Sys.mwFreq; - nTheta = Sys.nTheta; - nPhi = Sys.nPhi; - if isfield(Sys, 'nNuc') - nNuc = Sys.nNuc; - else - nNuc = 0; - end - nHfiLine = nNuc + 1; - - % Parameters for g broadening - lw1 = mt2mhz(Sys.lw1); - lw2 = mt2mhz(Sys.lw2); - % The g-factor linewidth - glw1 = w2gFunc(Bmean, lw1); - glw2 = w2gFunc(Bmean, lw2); - % Spacing between g-values - dgax1 = glw1 / 20; - dgax2 = glw2 / 20; - resLw = min(lw1, lw2)*6e-1*1e-3; % GHz - - % Grid - [thetas, phis] = createthetaphigrid(nTheta, nPhi); - nSolidAngle = nTheta*nPhi; - - % Direction of B0 - nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); - % Effective g-values - g1Tensor = rotatematrix(diag(Sys.g(1, :)), Sys.gFrame(1, :)); - g1 = sqrt( sum( (g1Tensor*nVers).^2, 1)); - g2Tensor = rotatematrix(diag(Sys.g(2, :)), Sys.gFrame(2, :)); - g2 = sqrt( sum( (g2Tensor*nVers).^2, 1)); - % Dipolar interaction - zD = erot(Sys.eeFrame)*[0, 0, 1]'; - dd = dipFunc(dip, nVers, zD); - - if nNuc > 0 - [APlus, AMinus] = calculateaplusaminusnohfi(... - Sys.A, Sys.AFrame, nVers); - else - APlus = zeros(nSolidAngle, 1); - AMinus = zeros(nSolidAngle, 1); - end - - ySim = zeros(numel(fieldAxis), 1); - parfor ii = 1:nSolidAngle - nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); - - %{ - [gax, gInh1, gInh2] = ... - creategaxis(g1(ii), g2(ii), glw1, glw2, dgax2); - ngax = numel(gax); - % "Probability matrix" of a certain spin interacting with another - gaussianFactor = gInh1'*gInh2; - gaussianFactor = gaussianFactor/sum(gaussianFactor, 'all'); - [gaussianFactor, idxs1, idxs2] = restrictgaussianfactor(... - gaussianFactor, gInh1, gInh2); - gaussianFactor = gaussianFactor(:)'; - - gPlus = 1/2*(repmat(gax', [1, ngax]) + repmat(gax, [ngax, 1])); - gPlus = gPlus(idxs1, idxs2); - gPlus = gPlus(:)'; - gMinus = 1/2*(repmat(gax', [1, ngax]) - repmat(gax, [ngax, 1])); - gMinus = gMinus(idxs1, idxs2); - gMinus = gMinus(:)'; - %} - - %%{ - [gax1, gInh1] = creategaxis2(g1(ii), glw1, dgax1); - [gax2, gInh2] = creategaxis2(g2(ii), glw2, dgax2); - ngax1 = numel(gax1); - ngax2 = numel(gax2); - - gaussianFactor = gInh1'*gInh2; - gaussianFactor = gaussianFactor/sum(gaussianFactor, 'all'); - gaussianFactor = gaussianFactor(:)'; - - gPlus = 1/2*(repmat(gax1', [1, ngax2]) + repmat(gax2, [ngax1, 1])); - gPlus = gPlus(:)'; - gMinus = 1/2*(repmat(gax1', [1, ngax2]) - repmat(gax2, [ngax1, 1])); - gMinus = gMinus(:)'; - %} - - w0_ = g2wFunc(fieldAxis', gPlus); - deltaw_ = g2wFunc(fieldAxis', gMinus); - sintheta_ = sqrt( nVers(1, ii)^2 + nVers(2, ii)^2 ); - - quantNumNuc = -nNuc/2:1:nNuc/2; - signJmd = [-1, 1, -1, 1]; - signOmega = [-1, -1, 1, 1]; - signIntens = [1, -1, 1, -1]; - if nNuc > 0 - pascalMatrix = pascal(nHfiLine); - % Antidiag - pascalFactor = pascalMatrix(nHfiLine:nHfiLine - 1:end - 1); - else - pascalFactor = 1; - end - - for itrans = 1:4 - for ihfi = 1:nHfiLine - w0__ = w0_ + quantNumNuc(ihfi)*APlus(ii); - deltaw__ = deltaw_ + quantNumNuc(ihfi)*AMinus(ii); - Omega__ = hypot(deltaw__, JJ+dd(ii)/2); - wReson = w0__ + signJmd(itrans)*(JJ - dd(ii)) + ... - signOmega(itrans)*Omega__; - - intensityReson = signIntens(itrans)*1/8*... - (deltaw__.^2)./(Omega__.^2); - trSignal__ = gaussianbs(wReson*1e-3, mwFreq, resLw, "lwpp"); - trSignal__ = intensityReson.*trSignal__*... - pascalFactor(ihfi).*gaussianFactor; - ySim = ySim + sum(trSignal__, 2)*sintheta_; - end - end - %} - end - %} - ySim = ySim/max(abs(ySim)); - -end - -function freq = g2wFunc(B0, g) - % Expected input: B0 in mT - % Output: frequency nu in MHz - freq = bmagn*B0/planck*g*1e-9; -end - -function g = w2gFunc(B0, freq) - % Expected input: B0 in mT - % Output: frequency nu in MHz - g = planck/bmagn/B0*freq*1e9; -end - -function dd = dipFunc(dip, nVers, zD) - % Dipolar interaction - % Makes use of the fact that cos(thetaD) = dotProduct(B0, zD) - % Expected input: - % dip: 1 x 1 - % nVers: 3 x nTheta x nPhi - % zD: 3 x 1 - dd = dip*((sum(nVers.*zD)).^2 - 1/3); -end - -function [thetas, phis] = createthetaphigrid(nTheta, nPhi) - - thetas = linspace(0, 180, nTheta + 2)*pi/180; - thetas = thetas(2:end - 1); - thetas = thetas'; - phis = linspace(0, 180, nPhi + 1)*pi/180; - phis = phis(1:end - 1); - -end - -function newMat = rotatematrix(mat, euAngles) - % newMat = R*mat*transpose(R) - % euAngles are the ones given in the Easyspin convention - - euMatrix = erot(euAngles)'; - newMat = euMatrix*mat*transpose(euMatrix); - -end - -function [APlus, AMinus] = calculateaplusaminusnohfi(A, AFrame, nVers) - % For spin 1 - Ahfi1Tensor = rotatematrix(diag(A(1, 1:3)), AFrame(1, 1:3)); - Ahfi1 = squeeze( ... - sqrt( sum( (pagemtimes(Ahfi1Tensor', nVers)).^2))); - % For spin 2 - Ahfi2Tensor = rotatematrix(diag(A(1, 4:6)), AFrame(1, 4:6)); - Ahfi2 = squeeze( ... - sqrt( sum( (pagemtimes(Ahfi2Tensor', nVers)).^2))); - - APlus = (Ahfi1 + Ahfi2)/2; % MHz - AMinus = (Ahfi1 - Ahfi2)/2; % MHz -end - -function [gax, gInh1, gInh2] = creategaxis(g1, g2, glw1, glw2, dgax) - % Here glw1 and glw2 are the lwpp, therefore the variance will be - % lwpp*2 - xxFactor = 1; - xmin = min([g1 - xxFactor*glw1, g2 - xxFactor*glw2]); - xmax = max([g1 + xxFactor*glw1, g2 + xxFactor*glw2]); - gax = xmin:dgax:xmax; - - % Inhomogeneously broadened gaussian distributions - gInh1 = gaussian(gax, g1, glw1); - gInh2 = gaussian(gax, g2, glw2); -end - -function [gax, gInh] = creategaxis2(g, glw, dgax) - % Here glw1 and glw2 are the lwpp, therefore the variance will be - % lwpp*2 - gax = (g - glw):dgax:(g + glw); - - % Inhomogeneously broadened gaussian distributions - normTerm = sqrt(2/pi)/glw; - gInh = normTerm*exp(-2 * (gax - g).^2 ./ glw^2); - gInh = gaussian(gax, g, glw); - - -end - -function [newMatr, idxs1, idxs2] = restrictgaussianfactor(matr, xx1, xx2) - [~, idxMax1] = max(xx1); - [~, idxMax2] = max(xx2); - [~, idxFwhm1] = min(abs(matr(:, idxMax2) - max(matr(:))/2)); - idxDxFwhm1 = abs(idxMax1 - idxFwhm1); - [~, idxFwhm2] = min(abs(matr(idxMax1, :) - max(matr(:))/2)); - idxDxFwhm2 = abs(idxMax2 - idxFwhm2); - - xxFactor = 2; - dx1 = round(xxFactor*idxDxFwhm1); - dx2 = round(xxFactor*idxDxFwhm2); - idxs1 = max(idxMax1 - dx1, 1):... - min(idxMax1 + dx1, numel(xx1)); - idxs2 = max(idxMax2 - dx2, 1):... - min(idxMax2 + dx2, numel(xx1)); - newMatr = matr(idxs1, idxs2); -end - -function y1 = gaussianbs(wReson, mwFreq, c, mode) - arguments - wReson - mwFreq - c (1, 1) double - mode string = "lwpp" - end - - normTerm = sqrt(2/pi)/c; - y1 = normTerm*exp(-2 * (wReson - mwFreq).^2 ./ c^2); - -end diff --git a/zech_gBroadening_leastSquareFit.m b/zech_gBroadening_leastSquareFit.m index 173851cafbcf6885a4906c9a7abfb7a106580bc8..92b4f229a52d6cc621793a42d58984770ae0bd7b 100755 --- a/zech_gBroadening_leastSquareFit.m +++ b/zech_gBroadening_leastSquareFit.m @@ -2,13 +2,14 @@ clearvars addpath(genpath('S:\soft\matlab\')) addpath(genpath('/net/storage/gianlum33/soft/matlab/')) +addpath('S:\projects\oop_ciss_calculations\util\') %% Easyspin simulation % Taken from Easyspin example Sys.S = [1/2 1/2]; -Sys.g = [2.0030 2.0026 2.0023; ... % P700+ - 2.0062 2.0051 2.0022]; % A1- +Sys.g = [2.00308 2.00264 2.00226; ... % P700+ + 2.00622 2.00507 2.00218]; % A1- Sys.gFrame = [-10 -128 -83; ... 0 0 0]*pi/180; Sys.eeFrame = [0 90 0]*pi/180; % zD direction is along -x of A1- @@ -37,6 +38,38 @@ ySim = ySim/max(abs(ySim)); clf plot(fieldAxis, ySim) +%% + +%pathFolder = "/net/storage/gianlum33/"; +pathFolder = "S:\"; +pathFolder = pathFolder + "projects/oop_ciss_calculations/data/digitized/"; +pathX = pathFolder + "expData_zech_aStructuralModelFor_xBandDeut.mat"; +pathQ = pathFolder + "expData_zech_aStructuralModelFor_qBandDeut.mat"; +pathW = pathFolder + "expData_zech_aStructuralModelFor_wBandDeut.mat"; + +importedData = load(pathX); +xdataXdeut = importedData.x; +ydataXdeut = importedData.y; +importedData = load(pathQ); +xdataQdeut = importedData.x; +ydataQdeut = importedData.y; +ydataQdeut = ydataQdeut - (ydataQdeut(1) + ydataQdeut(end))/2; +importedData = load(pathW); +xdataWdeut = importedData.x; +ydataWdeut = importedData.y; + +importedData = load('S:\projects\zech_psi\data\processed\ZePSI-E-007015.mat'); +% clf +% h = ScrollableAxes(); +% plot(h, x{2}, x{1}, y'); +xdataX = importedData.x{2}'/10; % mT +ydataX = importedData.y(815, :); +ydataX = ydataX/max(abs(ydataX)); +pathQ2 = pathFolder + "expData_zech_aStructuralModelFor_qBand.mat"; +importedData = load(pathQ2); +xdataQ = importedData.x; +ydataQ = importedData.y; + %% My powder average (only for equivalent nuclei) mySys.g = Sys.g; @@ -47,58 +80,69 @@ mySys.eeFrame = Sys.eeFrame; mySys.nNuc = 3; mySys.A = [0, 0, 0, 9, 9.4, 12.8]; % MHz mySys.AFrame = [0 0 0 60 -90 0]*pi/180; -mySys.lw1 = 3.785; % mT -mySys.lw1 = 1.5; % mT -mySys.lw2 = 0.323; % mT -mySys.lw2 = 0.35; % mT -mySys.mwFreq = mwFreq; -mySys.x = fieldAxis; -mySys.nTheta = 20; -mySys.nPhi = 10; - -% tic -% [myySim, gax, gInh1, gInh2, gax1, gInh11, gax2, gInh22] = mytrepr(mySys); - -myySim = mytrepr(mySys); -% toc - -% hold on -% plot(fieldAxis, myySim) +% mySys.lw1 = 0.31; % mT +mySys.lw1 = 0.7499; % mT +% mySys.lw2 = 0.25; % mT +mySys.lw2 = 0.3190; % mT % FitOpt.maxTime = 0.1; -FitOpt.TolFun = 1e-4; -FitOpt.TolEdgeLength = 1e-4; +% FitOpt.TolFun = 1e-4; +% FitOpt.TolEdgeLength = 1e-5; FitOpt.CalculateUncertainties = 0; -load('S:/projects/zech_psi/data/processed/ZePSI-E-007015.mat'); -% clf -% h = ScrollableAxes(); -% plot(h, x{2}, x{1}, y'); -xdata = x{2}/10; % mT -ydata = y(500, :); -ydata = ydata/max(abs(ydata)); +Vary.lw1 = mySys.lw1 - 0.05; +Vary.lw2 = mySys.lw2 - 0.05; -clf -plot(ydata) -hold on -plot(myySim) - -%% - -Vary.lw1 = 1; -Vary.lw2 = 0.3; +ydata = {ydataX, ydataQ}; +mySys.mwFreq_MF = {9.7, 34}; +mySys.x_MF = {xdataX + 5.5, xdataQ}; %xW - 3.95}; +mySys.nTheta_MF = {91, 91}; %, 50}; +mySys.nPhi_MF = {45, 45}; %, 20}; +mySys.nSamplegInh1_MF = {30, 30}; +mySys.nSamplegInh2_MF = {30, 30}; +mySys.coeffResLw_MF = {0.1, 0.2}; tic -% Fit = esfit(ydata, @mytrepr, {mySys}, {Vary}, FitOpt); +% ySim = mytreprmf(mySys); +Fit = esfit(ydata, @mytreprmf, {mySys}, {Vary}, FitOpt); toc -clf -plot(ydata) -hold on -plot(Fit.fit) +tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') +for ii = 1:numel(ydata) + nexttile + plot(ydata{ii}) + hold on + plot(Fit.fit{ii}) +% plot(ySim{ii}) +% plot(rescaledata(ySim{ii}, ydata{ii}, 'lsq')) + xlim(setaxlim(1:numel(ydata{ii}))) + ylim(setaxlim(ydata{ii}, 1.05)) +end + +% tic +% ydata = {yX, yQ, yW}; +% Fit = esfit(ydata, @mytreprmf, {mySys}, {Vary}, FitOpt); +%% +ySim0 = mytreprmf(mySys); %% +function data = mytreprmf(Sys) + + nSpc = numel(Sys.mwFreq_MF); + fields = fieldnames(Sys); + for ispc = 1:nSpc + for ifield = 1:numel(fields) + f = fields{ifield}; + if endsWith(f, '_MF') + f_ = f(1:end - 3); + Sys.(f_) = Sys.(f){ispc}; + end + end + data{ispc} = mytrepr(Sys); + end +end + % function [ySim, gax, gInh1, gInh2, gax1, gInh11, gax2, gInh22] = mytrepr(Sys) function ySim = mytrepr(Sys) fieldAxis = Sys.x; @@ -119,12 +163,12 @@ function ySim = mytrepr(Sys) lw1 = mt2mhz(Sys.lw1); lw2 = mt2mhz(Sys.lw2); % The g-factor linewidth - glw1 = w2gFunc(Bmean, lw1); - glw2 = w2gFunc(Bmean, lw2); + glw1 = freq2gvalue(Bmean, lw1); + glw2 = freq2gvalue(Bmean, lw2); % Spacing between g-values - dgax1 = glw1 / 20; - dgax2 = glw2 / 20; - resLw = min(lw1, lw2)*6e-1*1e-3; % GHz + dgax1 = glw1 / Sys.nSamplegInh1; + dgax2 = glw2 / Sys.nSamplegInh2; + resLw = min(lw1, lw2)*Sys.coeffResLw*1e-3; % GHz % Grid [thetas, phis] = createthetaphigrid(nTheta, nPhi); @@ -133,13 +177,13 @@ function ySim = mytrepr(Sys) % Direction of B0 nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); % Effective g-values - g1Tensor = rotatematrix(diag(Sys.g(1, :)), Sys.gFrame(1, :)); + g1Tensor = rotatematrixeuangles(diag(Sys.g(1, :)), Sys.gFrame(1, :)); g1 = sqrt( sum( (g1Tensor*nVers).^2, 1)); - g2Tensor = rotatematrix(diag(Sys.g(2, :)), Sys.gFrame(2, :)); + g2Tensor = rotatematrixeuangles(diag(Sys.g(2, :)), Sys.gFrame(2, :)); g2 = sqrt( sum( (g2Tensor*nVers).^2, 1)); % Dipolar interaction zD = erot(Sys.eeFrame)*[0, 0, 1]'; - dd = dipFunc(dip, nVers, zD); + dd = dipinteraction(dip, nVers, zD); if nNuc > 0 [APlus, AMinus] = calculateaplusaminusnohfi(... @@ -152,29 +196,9 @@ function ySim = mytrepr(Sys) ySim = zeros(numel(fieldAxis), 1); parfor ii = 1:nSolidAngle nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); - - %{ - [gax, gInh1, gInh2] = ... - creategaxis(g1(ii), g2(ii), glw1, glw2, dgax2); - ngax = numel(gax); - % "Probability matrix" of a certain spin interacting with another - gaussianFactor = gInh1'*gInh2; - gaussianFactor = gaussianFactor/sum(gaussianFactor, 'all'); - [gaussianFactor, idxs1, idxs2] = restrictgaussianfactor(... - gaussianFactor, gInh1, gInh2); - gaussianFactor = gaussianFactor(:)'; - - gPlus = 1/2*(repmat(gax', [1, ngax]) + repmat(gax, [ngax, 1])); - gPlus = gPlus(idxs1, idxs2); - gPlus = gPlus(:)'; - gMinus = 1/2*(repmat(gax', [1, ngax]) - repmat(gax, [ngax, 1])); - gMinus = gMinus(idxs1, idxs2); - gMinus = gMinus(:)'; - %} - - %%{ - [gax1, gInh1] = creategaxis2(g1(ii), glw1, dgax1); - [gax2, gInh2] = creategaxis2(g2(ii), glw2, dgax2); + + [gax1, gInh1] = creategaxisinhbroadening(g1(ii), glw1, dgax1); + [gax2, gInh2] = creategaxisinhbroadening(g2(ii), glw2, dgax2); ngax1 = numel(gax1); ngax2 = numel(gax2); @@ -188,8 +212,8 @@ function ySim = mytrepr(Sys) gMinus = gMinus(:)'; %} - w0_ = g2wFunc(fieldAxis', gPlus); - deltaw_ = g2wFunc(fieldAxis', gMinus); + w0_ = gvalue2freq(fieldAxis', gPlus); + deltaw_ = gvalue2freq(fieldAxis', gMinus); sintheta_ = sqrt( nVers(1, ii)^2 + nVers(2, ii)^2 ); quantNumNuc = -nNuc/2:1:nNuc/2; @@ -214,7 +238,8 @@ function ySim = mytrepr(Sys) intensityReson = signIntens(itrans)*1/8*... (deltaw__.^2)./(Omega__.^2); - trSignal__ = gaussianbs(wReson*1e-3, mwFreq, resLw, "lwpp"); + trSignal__ = gaussianresonancebsweep(... + wReson*1e-3, mwFreq, resLw, "lwpp"); trSignal__ = intensityReson.*trSignal__*... pascalFactor(ihfi).*gaussianFactor; ySim = ySim + sum(trSignal__, 2)*sintheta_; @@ -226,115 +251,3 @@ function ySim = mytrepr(Sys) ySim = ySim/max(abs(ySim)); end - -function freq = g2wFunc(B0, g) - % Expected input: B0 in mT - % Output: frequency nu in MHz - freq = bmagn*B0/planck*g*1e-9; -end - -function g = w2gFunc(B0, freq) - % Expected input: B0 in mT - % Output: frequency nu in MHz - g = planck/bmagn/B0*freq*1e9; -end - -function dd = dipFunc(dip, nVers, zD) - % Dipolar interaction - % Makes use of the fact that cos(thetaD) = dotProduct(B0, zD) - % Expected input: - % dip: 1 x 1 - % nVers: 3 x nTheta x nPhi - % zD: 3 x 1 - dd = dip*((sum(nVers.*zD)).^2 - 1/3); -end - -function [thetas, phis] = createthetaphigrid(nTheta, nPhi) - - thetas = linspace(0, 180, nTheta + 2)*pi/180; - thetas = thetas(2:end - 1); - thetas = thetas'; - phis = linspace(0, 180, nPhi + 1)*pi/180; - phis = phis(1:end - 1); - -end - -function newMat = rotatematrix(mat, euAngles) - % newMat = R*mat*transpose(R) - % euAngles are the ones given in the Easyspin convention - - euMatrix = erot(euAngles)'; - newMat = euMatrix*mat*transpose(euMatrix); - -end - -function [APlus, AMinus] = calculateaplusaminusnohfi(A, AFrame, nVers) - % For spin 1 - Ahfi1Tensor = rotatematrix(diag(A(1, 1:3)), AFrame(1, 1:3)); - Ahfi1 = squeeze( ... - sqrt( sum( (pagemtimes(Ahfi1Tensor', nVers)).^2))); - % For spin 2 - Ahfi2Tensor = rotatematrix(diag(A(1, 4:6)), AFrame(1, 4:6)); - Ahfi2 = squeeze( ... - sqrt( sum( (pagemtimes(Ahfi2Tensor', nVers)).^2))); - - APlus = (Ahfi1 + Ahfi2)/2; % MHz - AMinus = (Ahfi1 - Ahfi2)/2; % MHz -end - -function [gax, gInh1, gInh2] = creategaxis(g1, g2, glw1, glw2, dgax) - % Here glw1 and glw2 are the lwpp, therefore the variance will be - % lwpp*2 - xxFactor = 1; - xmin = min([g1 - xxFactor*glw1, g2 - xxFactor*glw2]); - xmax = max([g1 + xxFactor*glw1, g2 + xxFactor*glw2]); - gax = xmin:dgax:xmax; - - % Inhomogeneously broadened gaussian distributions - gInh1 = gaussian(gax, g1, glw1); - gInh2 = gaussian(gax, g2, glw2); -end - -function [gax, gInh] = creategaxis2(g, glw, dgax) - % Here glw1 and glw2 are the lwpp, therefore the variance will be - % lwpp*2 - gax = (g - glw):dgax:(g + glw); - - % Inhomogeneously broadened gaussian distributions - normTerm = sqrt(2/pi)/glw; - gInh = normTerm*exp(-2 * (gax - g).^2 ./ glw^2); - gInh = gaussian(gax, g, glw); - - -end - -function [newMatr, idxs1, idxs2] = restrictgaussianfactor(matr, xx1, xx2) - [~, idxMax1] = max(xx1); - [~, idxMax2] = max(xx2); - [~, idxFwhm1] = min(abs(matr(:, idxMax2) - max(matr(:))/2)); - idxDxFwhm1 = abs(idxMax1 - idxFwhm1); - [~, idxFwhm2] = min(abs(matr(idxMax1, :) - max(matr(:))/2)); - idxDxFwhm2 = abs(idxMax2 - idxFwhm2); - - xxFactor = 2; - dx1 = round(xxFactor*idxDxFwhm1); - dx2 = round(xxFactor*idxDxFwhm2); - idxs1 = max(idxMax1 - dx1, 1):... - min(idxMax1 + dx1, numel(xx1)); - idxs2 = max(idxMax2 - dx2, 1):... - min(idxMax2 + dx2, numel(xx1)); - newMatr = matr(idxs1, idxs2); -end - -function y1 = gaussianbs(wReson, mwFreq, c, mode) - arguments - wReson - mwFreq - c (1, 1) double - mode string = "lwpp" - end - - normTerm = sqrt(2/pi)/c; - y1 = normTerm*exp(-2 * (wReson - mwFreq).^2 ./ c^2); - -end diff --git a/zech_psiOopEseem_powderAverage_inhBroadening.m b/zech_psiOopEseem_powderAverage_inhBroadening.m index 269ac6ee49518b40a54294192d9c129eeb9c899b..91557d4c151dc1f4da36bec86ca8d48d321cf058 100755 --- a/zech_psiOopEseem_powderAverage_inhBroadening.m +++ b/zech_psiOopEseem_powderAverage_inhBroadening.m @@ -2,13 +2,15 @@ clearvars addpath(genpath('S:\soft\matlab\')) addpath(genpath('/net/storage/gianlum33/soft/matlab/')) +addpath(genpath('/net/storage/gianlum33/projects/oop_ciss_calculations/util/')) +addpath(genpath('S:\projects/oop_ciss_calculations/util/')) %% % Import % cd('/net/storage/gianlum33/projects/oop_ciss_calculations/') -expName = 'data/extracted/zech_p46_oopEseem_expData.csv'; -fitName = 'data/extracted/zech_p46_oopEseem_fit.csv'; +expName = 'data/digitized/zech_p46_oopEseem_expData.csv'; +fitName = 'data/digitized/zech_p46_oopEseem_fit.csv'; importedData = readtable(expName); x = importedData{:, 1}*pi/180; @@ -26,10 +28,6 @@ p0Timmel = 41*pi/180; initFit = rescaledata(crystalEseemZech(p0Z, xx), 'maxabs'); expectFit = rescaledata(crystalEseemZech(p0Timmel, xx), 'maxabs'); -crystalEseem = @(p, beta) -(... - 1/2 * sin(2*beta) .* cos(p).^4 + ... - 1/4 * sin(beta) .* sin(2*p).^2); % p = 2alpha - p0B = pi/2 - 2*p0Z; % xi_Bittl = pi/2 - 2*alpha_Zech initFit2 = rescaledata(crystalEseem(p0B, xx), 'maxabs'); @@ -42,70 +40,15 @@ plot(xx*180/pi, initFit2) plot(xx*180/pi, expectFit) % esfit() -%% - -for ii = 1:4 - loadPath = append("powderAverage_inhBroadening_glw_0", string(ii), ".mat"); - sim{ii} = load(loadPath); -end - %% System definition - -% Taken from Easyspin example -clear('Sys', 'Exp', 'Vary', 'VaryExp') -Sys.S = [1/2 1/2]; -Sys.g = [2.0030 2.0026 2.0023; ... % P700+ +Sys0.S = [1/2 1/2]; +Sys0.g = [2.0030 2.0026 2.0023; ... % P700+ 2.0062 2.0051 2.0022]; % A1- -Sys.gFrame = [-10 -128 -83; ... +Sys0.gFrame = [-10 -128 -83; ... 0 0 0]*pi/180; -Sys.eeFrame = [0 90 0]*pi/180; % zD direction is along -x of A1- - -% Factor 1/1.5 coming from different definition of spin Hamiltonian? -% Sys.J = unitconvert(1e-3,'mT->MHz')/1.5; % MHz -% Sys.lw = mt2mhz(0.35); % MHz -% Sys.lw = mhz2mt(11); % MHz -% Sys.initState = 'singlet'; - -% nNuc = 3; -% Sys.Nucs = '1H'; -% Sys.Nucs = repmat(append(Sys.Nucs, ', '), [1, nNuc]); -% Sys.Nucs = Sys.Nucs(1:end - 2); -% Sys.A = [zeros(1, 3), 9, 9, 12.8]; -% Sys.A = repmat(Sys.A, [nNuc, 1]); -% Sys.AFrame = [0 0 0 -60 90 0]*pi/180; -% Sys.AFrame = repmat(Sys.AFrame, [nNuc, 1]); - -B0 = 345.9; % mT -mwFreq = 9.7; - -%% Functions -% Expected input: B0 in mT -% Output: frequency nu in MHz -g2wFunc = @(B0, g) bmagn*B0/planck*g*1e-9; - -% Expected input: B0 in mT -% Output: frequency nu in MHz -w2gFunc = @(B0, freq) planck/bmagn/B0*freq*1e9; - -% Expected input: deltaw in MHz, J in MHz, d in MHz -% Output: Omega in MHz -OmegaFunc = @(deltaw, J, d) sqrt(deltaw.^2 + (J + d/2).^2); - -% Dipolar interaction -% Makes use of the fact that cos(thetaD) = dotProduct(B0, zD) -% Expected input: -% dip: 1 x 1 -% nVers: 3 x nTheta x nPhi -% zD: 3 x 1 -dipFunc = @(dip, nVers, zD) dip*((sum(nVers.*zD)).^2 - 1/3); - -% Mixing angle, p = [dd, JJ, deltaw] in [MHz, MHz, MHz] -xiFunc = @(dd, JJ, deltaw) atan( (dd/2 + JJ) ./ deltaw); -alphaFunc = @(dd, JJ, deltaw) 1/2*atan( deltaw ./ (JJ + dd/2)); +Sys0.eeFrame = [0 90 0]*pi/180; % zD direction is along -x of A1- - -%% Calculation without inhomogenous broadened linewidth % tau = 0.; % us % Assume finite bandwidth of the excitation pulse @@ -114,50 +57,486 @@ alphaFunc = @(dd, JJ, deltaw) 1/2*atan( deltaw ./ (JJ + dd/2)); % gPulsePosition = planck*mwFreq/bmagn/B0; % excitRange = [-1/2, +1/2]*gPulseBw + gPulsePosition; -dip = - mt2mhz(0.170); -JJ = mt2mhz(0.001); -% Theta, phi grid -nTheta = 91; -nPhi = 91; -thetas = linspace(0, 180, nTheta)*pi/180; -thetas = thetas'; -phis = linspace(0, 180, nPhi)*pi/180; - -tic - -% Direction of B0 -nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); -% Effective g-values -euMatrixg1 = erot(Sys.gFrame(1, :))'; -g1Tensor = euMatrixg1*diag(Sys.g(1, :))*euMatrixg1'; -g1 = sqrt( sum( (g1Tensor*nVers).^2, 1)); -euMatrixg2 = erot(Sys.gFrame(2, :))'; -g2Tensor = euMatrixg2*diag(Sys.g(2, :))*euMatrixg2'; -g2 = sqrt( sum( (g2Tensor*nVers).^2, 1)); -% Dipolar interaction -zD = erot(Sys.eeFrame)*[0, 0, 1]'; -dd = dipFunc(dip, nVers, zD); +Sys.g = Sys0.g; +Sys.gFrame = Sys0.gFrame; +Sys.dip = mt2mhz(-0.170); % MHz +Sys.J = mt2mhz(1e-3); % MHz +Sys.eeFrame = Sys0.eeFrame; +Sys.nNuc = 0; +Sys.A = [0, 0, 0, 9, 9.4, 12.8]; % MHz +Sys.AFrame = [0 0 0 60 -90 0]*pi/180; + +Sys.mwFreq = 9.7; +Sys.x = linspace(344.5, 347, 301); % mT +Sys.turningAngleAxis = xx; +Sys.nTheta = 90; %, 50}; +Sys.nPhi = 45; %, 20}; +Sys.lw1 = 0.5; % mT +Sys.lw2 = 0.5; % mT +Sys.nSamplegInh1 = 100; +Sys.nSamplegInh2 = 100; -w0 = g2wFunc(B0, (g1 + g2)/2); % MHz -deltaw = g2wFunc(B0, (g1 - g2)/2); % MHz -Omega = OmegaFunc(deltaw, JJ, dd); % MHz +%% -% Mixing angles -xiNoLw = xiFunc(dd, JJ, deltaw); -% Signal -signalNoLw = crystalEseem(xiNoLw, xx); +[a0, b0] = oopEseemVsBeta(Sys, 0); +tic +[a1, b1] = oopEseemVsBeta(Sys, 1); toc tic -% Average over all the solid angles with proper normalization -solidAngleWeight = sin(thetas)/sum(sin(thetas)*ones(1, nPhi), 'all'); -xiNoLw = reshape(xiNoLw, [nTheta, nPhi]); -xiMeanNoLw = sum(solidAngleWeight.*abs(xiNoLw), 'all'); -signalNoLw = reshape(signalNoLw, [size(xx), nTheta, nPhi]); -signalPowderNoLw = sum(squeeze(sum(solidAngleWeight'.*signalNoLw, 3)), 2); +[a2, b2] = oopEseemVsBeta(Sys, 2); toc %% +aa0 = averageoversolidangle(a0, Sys.nTheta, Sys.nPhi, 2); +aa1 = averageoversolidangle(a1, Sys.nTheta, Sys.nPhi, 2); +aa2 = averageoversolidangle(a2, Sys.nTheta, Sys.nPhi, 2); +bb0 = averageoversolidangle(abs(b0), Sys.nTheta, Sys.nPhi, 2); +bb1 = averageoversolidangle(abs(b1), Sys.nTheta, Sys.nPhi, 2); +bb2 = averageoversolidangle(abs(b2), Sys.nTheta, Sys.nPhi, 2); +% sum(abs(a1(:) - a2(:))) +% sum(abs(b1 - b2)) +clf +plot(xx*180/pi, rescaledata(aa0, 'maxabs')) +hold on +plot(xx*180/pi, rescaledata(aa1, 'maxabs'), 'o') +plot(xx*180/pi, rescaledata(aa2, 'maxabs'), 'x') +disp("xiMean0 = " + string(bb0*180/pi) + newline + ... + "xiMean1 = " + string(bb1*180/pi) + newline + ... + "xiMean2 = " + string(bb2*180/pi)) + +%% +xplot = linspace(0, 13, 1000); +% tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') +% nexxtile + +clf +plot(xplot, abs(mixinganglexi(xplot', Sys.J, ddd(1))), 'o') +hold on +plot(xplot, abs(mixinganglexi(xplot', Sys.J, ddd(2))), 'o') +% plot(xplot, abs(mixinganglexi(xplot', Sys.J, ddd(3))), 'o') +% plot(xplot, abs(mixinganglexi(xplot', Sys.J, ddd(4))), 'o') + +clf +disp("nTheta = " + string(Sys.nTheta)) +for ith = 3 %1:Sys.nTheta + plot(xplot, abs(mixinganglexi(xplot', Sys.J, ddd(ith)))*180/pi, 'o') + hold on + switch ith + case 1 + color = 'k'; + case 2 + color = 'b'; + end + for ihfi = 1:(Sys.nNuc + 1) + switch ihfi + case 1 + lstyle = '--'; + case 2 + lstyle = '-'; + case 3 + lstyle = '-.'; + end + xline(abs(domeg(ith, ihfi)), ... + 'Color', color, 'LineStyle', lstyle) + yline(abs(mixinganglexi(domeg(ith, ihfi), Sys.J, ddd(ith)))*180/pi, ... + 'Color', color, 'LineStyle', lstyle) + end + disp("xi central = " + string(xiii(ith, 2)*180/pi) + ... + ", xi mean = " + string(mean(abs(xiii(ith, :)))*180/pi)) +end + +% Sys.nNuc = 0; +% [oopNoLw, xiNoLw] = oopEseemVsBeta(Sys); +% xiMeanNoLw = averageoversolidangle(abs(xiNoLw), Sys.nTheta, Sys.nPhi, 2); +% oopPowderNoLw = averageoversolidangle(oopNoLw, Sys.nTheta, Sys.nPhi, 2); +% xiNoLwPlot = reshape(xiNoLw, [Sys.nTheta, Sys.nPhi])*180/pi; + +%% + +Sys.lw1 = 0.01; % mT +Sys.lw2 = 0.01; % mT +Sys.nSamplegInh1 = 10; +Sys.nSamplegInh2 = 10; +Sys.nTheta = 3; +Sys.nPhi = 1; +Sys.nNuc = 0; +[sigsig, xixi] = oopEseemVsBeta(Sys, true); + +%% + +Sys.nTheta = 90; +Sys.nPhi = 45; +wb = waitbar(0, 'Hi'); +nnNuc = 2000; +nNucs = 1:nnNuc; +for inNuc = 1:nnNuc + waitbar(inNuc/nnNuc, wb, sprintf('%d out of %d', inNuc, nnNuc)) + Sys.nNuc = nNucs(inNuc); + [oopNoLwa{inNuc}, xiNoLwa{inNuc}] = oopEseemVsBeta(Sys); + xiMeanNoLwa(inNuc) = averageoversolidangle(abs(xiNoLwa{inNuc}), Sys.nTheta, Sys.nPhi, 2); + oopPowderNoLwa{inNuc} = averageoversolidangle(oopNoLwa{inNuc}, Sys.nTheta, Sys.nPhi, 2); + xiNoLwPlota{inNuc} = reshape(xiNoLwa{inNuc}, [Sys.nTheta, Sys.nPhi])*180/pi; +end + +%% + +xplot = [0, nNucs(1:222)]; +yplot = [xiMeanNoLw, xiMeanNoLwa]; +clf +plot(xplot, yplot) + +figure(2) +tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') +for ii = 1:9 + nexttile + if ii == 1 + imagesc(abs(xiNoLwPlot)) + colorbar + colormap(viridis()) + else + imagesc(abs(xiNoLwPlota{ii})) + colorbar + colormap(viridis()) + end + title(ii - 1) +end + +%% + +cmappa = viridis(10); +figure(3) +clf +plot(xx*180/pi, rescaledata(oopPowderNoLw, 'maxabs'), 'o', 'DisplayName', '0') +hold on +imap = 0; +for ii = 101:110 + imap = imap + 1; + if mod(ii, 2) + plot(xx*180/pi, rescaledata(oopPowderNoLwa{ii}, 'maxabs'), ... + 'DisplayName', string(ii), 'Color', cmappa(imap, :)) + else + plot(xx*180/pi, rescaledata(oopPowderNoLwa{ii}, 'maxabs'), '--', ... + 'DisplayName', string(ii), 'Color', cmappa(imap, :)) + end +end +legend() + +%% + +% clf +% tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') +% nexttile +% imagesc(abs(xiNoLwPlot)) +% colorbar +% colormap(viridis()) +% nexttile +% imagesc(abs(xiNoLwPlot2)) +% colorbar +% colormap(viridis()) + +% g inh broadening +Sys.nNuc = 0; +Sys.lw1 = 0.35; % mT +Sys.lw2 = 0.35; % mT +Sys.nSamplegInh1 = 10; +Sys.nSamplegInh2 = 10; + +clf +plot(x*180/pi, rescaledata(y, 'maxabs'), 'o-') +hold on +plot(xx*180/pi, rescaledata(yy, 'maxabs')) +plot(xx*180/pi, initFit) +plot(xx*180/pi, initFit2) +plot(xx*180/pi, expectFit) +plot(xx*180/pi, rescaledata(oopPowderNoLw, 'maxabs'), 'o') +plot(xx*180/pi, rescaledata(oopPowderNoLw1, 'maxabs'), 'x') +plot(xx*180/pi, rescaledata(oopPowderNoLw2, 'maxabs'), 'Marker', '+', 'LineStyle', 'none') +plot(xx*180/pi, rescaledata(oopPowderNoLw3, 'maxabs'), 'Marker','square', 'LineStyle', 'none') + +%% + +xplot = nNucs(20:548); +yplot = xiMeanNoLwa(20:548); +model = @(p, x) p(1)*exp(-(x/p(2)).^p(3)) + p(4); +model2 = @(p, x) p(1)*(1./x).^p(2) + p(3); +p0 = [0.1, 20, 0.5, 0.02]; +p02 = [0.1, 0.95, 0.02]; + +pfit = nlinfit(xplot, yplot, model, p0); +pfit2 = nlinfit(xplot, yplot, model2, p02); +clf +plot(xplot, yplot) +hold on +plot(xplot, model(pfit, xplot)) +yyaxis right +plot(xplot, yplot - model(pfit, xplot)) +yline(0) + +%% + +Sys.nTheta = 2; +Sys.nPhi = 1; +Sys.nSamplegInh1 = 100; +Sys.nSamplegInh2 = 100; +Sys.nNuc = 0; +[g1, y1, g2, y2, gmi, savexi, gfac, xiMultiplicity] = oopEseemVsBeta(Sys, 1); + +figure(1) +clf +tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') +nexttile +plot(g1, y1, 'o', g2, y2, 'o') +nexttile +imagesc(y1'*y2/sum(y1'*y2, 'all')) +colorbar +colormap(gca, viridis()) +nexttile +imagesc(gmi) +colorbar +colormap(gca, crameri('vik', 'pivot', 0)) +nexttile +xiplot = reshape(savexi, [1 + 2*Sys.nSamplegInh1, 1 + 2*Sys.nSamplegInh2]); +imagesc(xiplot) +colorbar +colormap(gca, crameri('vik', 'pivot', 0)) + +sum(abs(savexi.*gfac), 'all') + +[g1, y1, g2, y2, gmi, savexi, gfac, xiMultiplicity] = oopEseemVsBeta(Sys, 2); + +figure(2) +clf +tiledlayout('flow', 'TileSpacing', 'compact', 'Padding', 'compact') +nexttile +plot(g1, y1, 'o', g2, y2, 'o') +nexttile +imagesc(y1'*y2/sum(y1'*y2, 'all')) +colorbar +colormap(gca, viridis()) +nexttile +plot(gmi) +nexttile +plot(gmi, savexi, 'o') + +sum(abs(savexi.*xiMultiplicity)) + +%% +% function [gax1, gInh1, gax2, gInh2, gMinusAx, savexi, gaussianFactor, xiMultiplicity] = oopEseemVsBeta(Sys, isInhBroadening) +function [signal, xi] = oopEseemVsBeta(Sys, isInhBroadening) + arguments + Sys + isInhBroadening = 0 + end + + fieldAxis = Sys.x; + Bmean = mean(fieldAxis); + turningAngleAxis = Sys.turningAngleAxis; + dip = Sys.dip; + JJ = Sys.J; + mwFreq = Sys.mwFreq; + nTheta = Sys.nTheta; + nPhi = Sys.nPhi; + if isfield(Sys, 'nNuc') + nNuc = Sys.nNuc; + else + nNuc = 0; + end + nHfiLine = nNuc + 1; + + % Parameters for g broadening + lw1 = mt2mhz(Sys.lw1); + lw2 = mt2mhz(Sys.lw2); + % The g-factor linewidth + glw1 = freq2gvalue(Bmean, lw1); + glw2 = freq2gvalue(Bmean, lw2); + % Spacing between g-values + dgax1 = glw1 / Sys.nSamplegInh1; + dgax2 = glw2 / Sys.nSamplegInh2; + % resLw = min(lw1, lw2)*Sys.coeffResLw*1e-3; % GHz + + % Grid + [thetas, phis] = createthetaphigrid(nTheta, nPhi); + nSolidAngle = nTheta*nPhi; + + % Direction of B0 + nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); + % Effective g-values + g1Tensor = rotatematrixeuangles(diag(Sys.g(1, :)), Sys.gFrame(1, :)); + g1 = sqrt( sum( (g1Tensor*nVers).^2, 1)); + g2Tensor = rotatematrixeuangles(diag(Sys.g(2, :)), Sys.gFrame(2, :)); + g2 = sqrt( sum( (g2Tensor*nVers).^2, 1)); + % Dipolar interaction + zD = erot(Sys.eeFrame)*[0, 0, 1]'; + dd = dipinteraction(dip, nVers, zD); + + if nNuc > 0 + [APlus, AMinus] = calculateaplusaminusnohfi(... + Sys.A, Sys.AFrame, nVers); + else + APlus = zeros(nSolidAngle, 1); + AMinus = zeros(nSolidAngle, 1); + end + + signal = zeros(numel(turningAngleAxis), nSolidAngle); + xi = zeros(1, nSolidAngle); + + if ~isInhBroadening + for ii = 1:nSolidAngle + gPlus = 1/2*(g1(ii) + g2(ii)); + gMinus = 1/2*(g1(ii) - g2(ii)); + + w0_ = gvalue2freq(Bmean, gPlus); + deltaw_ = gvalue2freq(Bmean, gMinus); + + quantNumNuc = -nNuc/2:1:nNuc/2; + if nNuc > 0 + pascalMatrix = pascal(nHfiLine); + % Antidiag + pascalFactor = pascalMatrix(nHfiLine:nHfiLine - 1:end - 1); + pascalFactor = pascalFactor'/sum(pascalFactor); + else + pascalFactor = 1; + end + + signal__ = zeros(numel(turningAngleAxis), nHfiLine); + xi__ = zeros(1, nHfiLine); + for ihfi = 1:nHfiLine + % w0__ = w0_ + quantNumNuc(ihfi)*APlus(ii); + deltaw__ = deltaw_ + quantNumNuc(ihfi)*AMinus(ii); + % savedeltaw(ii, ihfi) = deltaw__; + + xi__(ihfi) = mixinganglexi(deltaw__, JJ, dd(ii)); + % savexi(ii, ihfi) = xi__(ihfi); + signal__(:, ihfi) = ... + crystalEseem(xi__(ihfi), turningAngleAxis); + end + + % Average over hfi probability + xi(ii) = xi__*pascalFactor; + signal(:, ii) = signal__*pascalFactor; + end + elseif isInhBroadening == 1 + parfor ii = 1:nSolidAngle + nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); + + [gax1, gInh1] = creategaxisinhbroadening(g1(ii), glw1, dgax1); + [gax2, gInh2] = creategaxisinhbroadening(g2(ii), glw2, dgax2); + ngax1 = numel(gax1); + ngax2 = numel(gax2); + + gaussianFactor = gInh1'*gInh2; + gaussianFactor = gaussianFactor/sum(gaussianFactor, 'all'); + gaussianFactor = gaussianFactor(:)'; + + gPlus = ... + 1/2*(repmat(gax1', [1, ngax2]) + repmat(gax2, [ngax1, 1])); + gPlus = gPlus(:)'; + gMinus = ... + 1/2*(repmat(gax1', [1, ngax2]) - repmat(gax2, [ngax1, 1])); + gMinusAx = gMinus; + gMinus = gMinus(:)'; + %} + + w0_ = gvalue2freq(Bmean, gPlus); + deltaw_ = gvalue2freq(Bmean, gMinus); + % sintheta_ = sqrt( nVers(1, ii)^2 + nVers(2, ii)^2 ); + + quantNumNuc = -nNuc/2:1:nNuc/2; + if nNuc > 0 + pascalMatrix = pascal(nHfiLine); + % Antidiag + pascalFactor = pascalMatrix(nHfiLine:nHfiLine - 1:end - 1); + else + pascalFactor = 1; + end + + signal__ = zeros(numel(turningAngleAxis), nHfiLine, numel(gaussianFactor)); + xi__ = zeros(1, nHfiLine, numel(gaussianFactor)); + for ihfi = 1:nHfiLine + % w0__ = w0_ + quantNumNuc(ihfi)*APlus(ii); + deltaw__ = deltaw_ + quantNumNuc(ihfi)*AMinus(ii); + + xi__(1, ihfi, :) = mixinganglexi(deltaw__, JJ, dd(ii)); + savexi = xi__(ihfi, :); + signal__(:, ihfi, :) = ... + crystalEseem(xi__(1, ihfi, :), turningAngleAxis); + end + xi(ii) = squeeze(sum(... + xi__.*reshape(gaussianFactor, [1, size(gaussianFactor)]), ... + 3 ... + ))*pascalFactor; + signal(:, ii) = squeeze(sum(... + signal__.*reshape(gaussianFactor, [1, size(gaussianFactor)]), ... + 3 ... + ))*pascalFactor; + end + elseif isInhBroadening == 2 + parfor ii = 1:nSolidAngle + nVers = ang2vec(ones(nTheta, 1)*phis, thetas*ones(1, nPhi)); + + [gax1, gInh1] = creategaxisinhbroadening(g1(ii), glw1, dgax1); + [gax2, gInh2] = creategaxisinhbroadening(g2(ii), glw2, dgax2); + ngax1 = numel(gax1); + ngax2 = numel(gax2); + + % It is not necessary to calculate every possible combination + % but + gMinusAx = [flip((gax1 - gax2(1))/2), ... + (gax1(1) - gax2(2:end))/2]; + ngMinusAx = ngax1 + ngax2 - 1; + +% w0_ = gvalue2freq(Bmean, gPlus); + deltaw_ = gvalue2freq(Bmean, gMinusAx); + % sintheta_ = sqrt( nVers(1, ii)^2 + nVers(2, ii)^2 ); + + gaussianFactor = gInh1'*gInh2; + gaussianFactor = gaussianFactor/sum(gaussianFactor, 'all'); + diagsToExtract = -(ngax1 - 1):(ngax2 - 1); % All the diagonals + xiMultiplicity = sum(spdiags(... + gaussianFactor, diagsToExtract), 1); + + quantNumNuc = -nNuc/2:1:nNuc/2; + if nNuc > 0 + pascalMatrix = pascal(nHfiLine); + % Antidiag + pascalFactor = pascalMatrix(nHfiLine:nHfiLine - 1:end - 1); + else + pascalFactor = 1; + end + + signal__ = zeros(numel(turningAngleAxis), nHfiLine, ngMinusAx); + xi__ = zeros(1, nHfiLine, ngMinusAx); + for ihfi = 1:nHfiLine + % w0__ = w0_ + quantNumNuc(ihfi)*APlus(ii); + deltaw__ = deltaw_ + quantNumNuc(ihfi)*AMinus(ii); + + xi__(1, ihfi, :) = mixinganglexi(deltaw__, JJ, dd(ii)); +% savexi = xi__(ihfi, :); + signal__(:, ihfi, :) = ... + crystalEseem(xi__(1, ihfi, :), turningAngleAxis); + end + xi(ii) = squeeze(sum(... + xi__.*reshape(xiMultiplicity, [1, 1, ngMinusAx]), ... + 3 ... + ))*pascalFactor; + signal(:, ii) = squeeze(sum(... + signal__.*reshape(xiMultiplicity, [1, 1, ngMinusAx]), ... + 3 ... + ))*pascalFactor; + end + end +end + + +function signal = crystalEseem(p, beta) +% p = xi = 2alpha +% beta = xx is the turning angle axis +signal = - (1/2 * sin(2*beta) .* cos(p).^4 + ... + 1/4 * sin(beta) .* sin(2*p).^2); +end +%{ + % Temporal prefactor sin(2*(dd - JJ)*tau) if tau ~= 0 timePrefac = sin(2*(dd - JJ)*tau); @@ -1113,7 +1492,7 @@ end - +%}