CPYA 4.210 #  X r `00??Data3_B1  2xy'@)׏+@[/@Ig24@Ig24@x`@U?!:@8N=@@@*qXB@w E@0mIG@A?MJ@eUCL@q%­vN@+*3P@ru Q@2>Q@PnpR@gS@A91S@mS@umZT@I͊vT@}T@'.]~X@WGX@s9 X@g>fvW@g>fvW@ _qV@;YU@*nT@0S@$Y6R@m%P@s]N@∐d_K@yKH@ЙHE@)UB@ e@@2 ;@TG+7@c=w4@Ļ1@;N-@)@7;\p%@ r ??0monellin2_A HV A @U,@P\-@@RC @p]1#m"@(~k)&@ƅ!YP+@a40@:̗`G3@ŧ6@E9:@Qf>@jHܟA@D@,GH@R8uK@C9rO@GȰZQ@DUS@Z3V@ Y@Șg\@<,`@ r `??monellin2_B u7 @Vdt@@V@@wg @ȑ @0B"@*%@~:P)@{/@kC2@65@,`W7@fk}v:@8b->}>@"-Z@@0[wB@|SC@Nz1E@Z!G@ΈH@@ٔ+I@1%MK@ [t1L@ NM@ r ??monellin1_A .ED1Y @.ED1Y @j<@ɏk@G \5@u|@.o7"@ЛT+&@d`TR*@q&/@72@.o6@(D!Ty:@luJ>@"A@;SD@EViH@-s,K@&SO@ڏaQ@dz&T@}V@K=iY@JY\@K`@ r `??monellin1_B ղHX@ղHX@٬\X@PLۿX@gX@k+ݳX@wEwX@ vXX@ ҌEW@$0W@:kW@@V@JR)V@JiU@SWT@-lS@>'IR@mQ@/oP@ P@QQN@R K@UގpZI@G#H@3E@ monellin1$ ^DLPC:\Origin,FrXXsmodulation data ^@? @"@?@l "$$E (? ף= ף= Pd c #riffffff?UUUUUU?(>>__WIPR (  iffffff?UUUUUU?(  c #c5fffff?Կ(I>>__WIOTN (  Ifffff?Կ(I I o92 R A  frequency (MHz) R B`  100 x m R   R @ R  "&@%$ R @$$ R   R  P R   R @ R  "&@%$ R @$$ R   R  P R  R  R  R  R  R  monellin2+ ^DLPC:\ORIGIN,FrXXsphase data ^@? @"@?6@l "$$> (? ף= ף= Pd c ?Љ>>C  2 c # oj??(>>__WIPR (  j??(  c #c5fffff?Կ(I>>__WIOTN (  Ifffff?Կ(I I o92 R A  frequency (MHz) R B`  phase (deg) R   R @ R  "&@%$ R @$$ R   R  P R   R @ R  "&@%$ R @$$ R   R  P R  R  R  R  R  R  x_1 K`@ x_2 @ W A N Qd? D 9r? OLDREDIR @ N1 _= N2 > N3 ),7W0= SUM 4l%> D1 Ÿz= D2 ӖEӣ= D3 {aى^=  ,T  Notes  Develop a y-script to simultaneously fit the phase and modulation data. The strategy will be similar to that used in the partial specific volume exercise. As discussed in class, the frequency-domain fluorescence data are related to the time-domain lifetime data by Fourier transforms. N and D in the equations below are the sin and cos transforms of the I(t) data. They are mathematically related to the phase and modulation by the following equations: tan(phi)=N/D //phi is the phase angle// m=(N^2+D^2)^0.5 //m is the modulation// Some hints as to how to proceed are given below. However, you will need to do some thinking! w is the angular frequency -- i.e., 'omega'. //a1=fraction of component 1// //a2=fraction of component 2// //a3=fraction of component 3// //tau1=lifetime component 1// //tau2=lifetime component 2// //tau3=lifetime component 3// w=2*3.1415*1e6*x_1; n1=((a1*w*tau1^2)/(1+w^2*tau1^2)); n2=((a2*w*tau2^2)/(1+w^2*tau2^2)); n3=((a3*w*tau3^2)/(1+w^2*tau3^2)); sum=a1*tau1+a2*tau2+a3*tau3; N=(n1+n2+n3)/sum; d1=((a1*tau1)/(1+w^2*tau1^2)); d2=((a2*tau2)/(1+w^2*tau2^2)); d3=((a3*tau3)/(1+w^2*tau3^2)); D=(d1+d2+d3)/sum; if(x_2==1) //enter expression for calculating the phase here //Remember, data are in degrees, the expression //given above for tan(phi) is for radians. if(x_2==2) //enter expression for calculating the modulation //here. m varies between 0 and 1. The values given //in the spreadsheet have been multiplied by 100 //to get them on the same scale as the phase data