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From: Sebastien WURTH (wurth@ipno.in2p3.fr)
Date: Wed Mar 05 2008 - 09:55:26 CET

  • Next message: Ing. Alessandro A. Porta: "HPGe - a conceptual mistake ?"

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    To: "Ing. Alessandro A. Porta" <porta@nuclearmi.cesnef.polimi.it>
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    Subject: Re: HPGe - a conceptual mistake ?
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    Alessandro,

    Thank you for pointing that out.
    Back to work then, with a more complex (real) case.
    Your hints and remarks were very useful.

    Best regards.
    Sebastien.

    Ing. Alessandro A. Porta wrote :

    >Dear Sebastien, your simulations are right but there is a conceptual error
    >in your approach.
    >In simple words... there are two types of HPGe, n-type and p-type, with
    >structural and response differences.
    >In my example I have a "common" coaxial, bulletyzed, p-type germanium
    >detector which presents a thick deal layer (read again my attached work).
    >So, it is the deal layer together with other internal structures (playing =
    a
    >minor role, indeed) that cause a low detection efficiency at low energy th=
    us
    >showing the "efficiency peak" in the range 100-150 keV.
    >In your INP file you are simulating (in a very very very simple way) a sor=
    t
    >of n-type HPGe that naturally has a monotonically decreasing response
    >(exactly what you get from the simulations). In n-type detectors the dead
    >layer (and all the internals...) is so thin to not show any "efficiency
    >peak".
    >So, if you want to see the peak in the 100-150 keV range you have to
    >simulate the real configuration (the real dead layer) of your detector.
    >You can get this information from the technical data sheet of your
    >instrument or querying to the manufacturer. In both cases it must follow a
    >long and complex refining of your input file to adapt the dead layer and
    >other structures to follow a real calibration source.
    >After this work you can analyze virtually any matrix.
    >
    >I hope to be useful.
    >Bye
    >Alessandro
    >
    >______________________________________________
    > =AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=
    =AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4
    >~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    >Alessandro A. Porta, Ing., EQ III, Ph.D.
    >CESNEF - Politecnico di Milano
    >Via Ponzio 34/3 - 20133 Milano - Italy
    >ph.: +39-02-2399-6365 / 6300
    >fax. +39-02-2399-6309
    >e-mail: alessandro.porta@polimi.it
    >URL: http://www.radioprotezione.polimi.it
    >______________________________________________
    > =AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=
    =AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4
    >~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    > =20
    >
    >>-----Messaggio originale-----
    >>Da: Sebastien WURTH [mailto:wurth@ipno.in2p3.fr]
    >>Inviato: marted=EC 4 marzo 2008 17.22
    >>A: Ing. Alessandro A. Porta
    >>Cc: fluka-discuss@fluka.org
    >>Oggetto: Re: R: to Sebastien, it could be useful: Example-HPGe.doc
    >>
    >>Alessandro,
    >>
    >>Thanks again.
    >>I saw that two channels effect too in my simulations.
    >>When you say that "DETECT card normalizes results", it is because you
    >>normalize it when you recover the output, right ?
    >>Because I don't get normalized (per primaries) results, I get the number
    >>of counts, at each channel, as an integer.
    >>But these things are described (and decided) in the routine you use to
    >>recover results from unit 17, I assume.
    >>
    >>My point of my previous mail was slightly different : since we are using
    >>the same physical "defaults" and almost the same method to calculate the
    >>efficiency why do I still have no peak of efficiency at the expected
    >>energies ? That's my real worry.
    >>
    >>Thank you for your concern.
    >>Best regards.
    >>Sebastien.
    >>
    >>
    >>Ing. Alessandro A. Porta wrote :
    >>
    >> =20
    >>
    >>>Dear Sebastien, you're right, however since the DETECT card normalizes
    >>>results you should simply read the value in the full-energy peak channel=
    =2E
    >>>I use a very useful binning of about 1 keV / channel in the DETECT card.
    >>>You can read DIRECTLY the absolute efficiency in the last useful (non
    >>> =20
    >>>
    >zero)
    > =20
    >
    >>>bin.
    >>>Sometime you'll need to use the last two bins, due to the discretization
    >>>effect, it occurs whenever you'll see two values of the same magnitude.
    >>> =20
    >>>
    >In
    > =20
    >
    >>>that case the efficiency comes from the sum of such two bins.
    >>>So, each energy requires it's simulation... anyway it's not a problem if
    >>> =20
    >>>
    >you
    > =20
    >
    >>>can work with a computing cluster ;-)))))
    >>>This method could appear tedious but is capable of simulating any HPGe
    >>> =20
    >>>
    >and
    > =20
    >
    >>>matrix !
    >>>Moreover, you can couple the HPGe geometry with voxel matrices and much
    >>>more...
    >>>
    >>>You can see attached two examples: Cd-109 which requires only 1 bin and
    >>>Te-123m which requires to sum the last two bins to get the "real"
    >>>efficiency.
    >>>
    >>>Best regards
    >>>Alessandro
    >>>
    >>>______________________________________________
    >>>=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=
    =AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4
    >>>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    >>>Alessandro A. Porta, Ing., EQ III, Ph.D.
    >>>CESNEF - Politecnico di Milano
    >>>Via Ponzio 34/3 - 20133 Milano - Italy
    >>>ph.: +39-02-2399-6365 / 6300
    >>>fax. +39-02-2399-6309
    >>>e-mail: alessandro.porta@polimi.it
    >>>URL: http://www.radioprotezione.polimi.it
    >>>______________________________________________
    >>>=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=
    =AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4
    >>>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    >>>
    >>>
    >>>
    >>> =20
    >>>
    >>>>-----Messaggio originale-----
    >>>>Da: Sebastien WURTH [mailto:wurth@ipno.in2p3.fr]
    >>>>Inviato: marted=EC 4 marzo 2008 14.56
    >>>>A: Ing. Alessandro A. Porta
    >>>>Cc: fluka-discuss@fluka.org
    >>>>Oggetto: Re: to Sebastien, it could be useful: Example-HPGe.doc
    >>>>
    >>>>Hello Alessandro, hello everyone,
    >>>>
    >>>>It is very useful indeed, thank you very much for sharing this.
    >>>>It is still mysterious to me how you calculate your efficiency from
    >>>>DETECT card. Is it as I assume, a ratio between the counts in your
    >>>>detector at the energy you want divided by the number of primaries whic=
    h
    >>>>represents here the number of events delivered by the source ?
    >>>>I use a very simple example which has nothing to do with a real case
    >>>>(compared to yours).
    >>>>But I use the same set of defaults as you, put my EMF-CUT cards,
    >>>>PHYSICS, EVENTYPE cards like yours (just in case), of course no biasing=
    ,
    >>>>and I have still that sort of stopping power effect in my DETECT card.
    >>>>My first purpose : I only wanted to see if these physical effects took
    >>>>place, ie the peak of efficiency at energies ~100-150 keV. I think I
    >>>>should see this, even with my trivial sample with an isotropic point
    >>>>source at 10 cm centered around a Ge cylinder circular face. With value=
    s
    >>>>which won't mean anything, but I should have the same curve as in your
    >>>>document, shouldn't I ?
    >>>>
    >>>>I keep on searching...
    >>>>
    >>>>Best regards.
    >>>>Sebastien.
    >>>>
    >>>>Ing. Alessandro A. Porta a wrote :
    >>>>
    >>>>
    >>>>
    >>>> =20
    >>>>
    >>>>>This is a very simple but efficient example about an HPGe chrystal
    >>>>>
    >>>>>
    >>>>> =20
    >>>>>
    >>>"sampled"
    >>>
    >>>
    >>> =20
    >>>
    >>>>>vith a DETECT card.
    >>>>>It works very well since years (... for me, at least...).
    >>>>>
    >>>>>Hope it could be useful.
    >>>>>
    >>>>>Best regards.
    >>>>>
    >>>>>Alessandro
    >>>>>
    >>>>>______________________________________________
    >>>>>=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=
    =A7=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4
    >>>>>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    >>>>>Alessandro A. Porta, Ing., EQ III, Ph.D.
    >>>>>CESNEF - Politecnico di Milano
    >>>>>Via Ponzio 34/3 - 20133 Milano - Italy
    >>>>>ph.: +39-02-2399-6365 / 6300
    >>>>>fax. +39-02-2399-6309
    >>>>>e-mail: alessandro.porta@polimi.it
    >>>>>URL: http://www.radioprotezione.polimi.it
    >>>>>______________________________________________
    >>>>>=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=
    =A7=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4=BB=A7=AB=A4=BB=A5=AB=A4
    >>>>>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    >>>>>
    >>>>>
    >>>>>
    >>>>>
    >>>>>
    >>>>> =20
    >>>>>
    >>>
    >>>------------------------------------------------------------------------
    >>>
    >>>
    >>>Analisi in efficienza rivelatore HPGe - lab. radioprotezione
    >>>DATE: 7/10/ 5, TIME: 5:35:25
    >>>NUMBER OF PARTICLE HISTORIES =3D 10000000
    >>>DETECTOR NUMBER =3D 1
    >>>DETECTOR NAME =3D HPGE
    >>>ENERGY BIN NUMBER =3D 1024
    >>>MINIMUM SCORED ENERGY =3D 0.00000E+00
    >>>BIN ENERGY =3D 1.00000E-06
    >>>THRESHOLD ENERGY =3D 0.00000E+00
    >>>1.00000E-06 9.25096E-01 1.57603E-05
    >>>2.00000E-06 7.55000E-05 1.69981E-02
    >>>3.00000E-06 8.52800E-05 1.23397E-02
    >>>4.00000E-06 8.67200E-05 3.88318E-03
    >>>5.00000E-06 9.05400E-05 8.48083E-03
    >>>6.00000E-06 9.40000E-05 1.79532E-02
    >>>7.00000E-06 9.52400E-05 7.88953E-03
    >>>8.00000E-06 9.46000E-05 1.42334E-02
    >>>9.00000E-06 9.93400E-05 1.79301E-02
    >>>1.00000E-05 1.62600E-04 5.98487E-03
    >>>1.10000E-05 1.14280E-04 1.02697E-02
    >>>1.20000E-05 1.04160E-04 1.19588E-02
    >>>1.30000E-05 1.03540E-04 1.40146E-02
    >>>1.40000E-05 1.07700E-04 1.27851E-02
    >>>1.50000E-05 1.08940E-04 1.11468E-02
    >>>1.60000E-05 1.09080E-04 1.26612E-02
    >>>1.70000E-05 1.10620E-04 1.12379E-02
    >>>1.80000E-05 1.10980E-04 1.04903E-02
    >>>1.90000E-05 1.15120E-04 1.97616E-02
    >>>2.00000E-05 1.13840E-04 2.20371E-02
    >>>2.10000E-05 1.13240E-04 1.11233E-02
    >>>2.20000E-05 1.15620E-04 7.63567E-03
    >>>2.30000E-05 1.14980E-04 8.33931E-03
    >>>2.40000E-05 1.18800E-04 9.63060E-03
    >>>2.50000E-05 1.22260E-04 1.51164E-02
    >>>2.60000E-05 1.22420E-04 1.56027E-02
    >>>2.70000E-05 1.18240E-04 2.68148E-02
    >>>2.80000E-05 1.20860E-04 1.74376E-02
    >>>2.90000E-05 1.20380E-04 1.32011E-02
    >>>3.00000E-05 1.19860E-04 1.52557E-02
    >>>3.10000E-05 1.21200E-04 8.11774E-03
    >>>3.20000E-05 1.23580E-04 1.18303E-02
    >>>3.30000E-05 1.21680E-04 2.51194E-02
    >>>3.40000E-05 1.20140E-04 1.73575E-02
    >>>3.50000E-05 1.20460E-04 1.32580E-02
    >>>3.60000E-05 1.18820E-04 2.12786E-02
    >>>3.70000E-05 1.15080E-04 2.00020E-02
    >>>3.80000E-05 1.18480E-04 1.66241E-02
    >>>3.90000E-05 1.20920E-04 1.08818E-02
    >>>4.00000E-05 1.22740E-04 1.10953E-02
    >>>4.10000E-05 1.21540E-04 1.61327E-02
    >>>4.20000E-05 1.22680E-04 1.63705E-02
    >>>4.30000E-05 1.23320E-04 1.94741E-02
    >>>4.40000E-05 1.25260E-04 8.21398E-03
    >>>4.50000E-05 1.27000E-04 6.26962E-03
    >>>4.60000E-05 1.27900E-04 1.83496E-02
    >>>4.70000E-05 1.30940E-04 3.49642E-03
    >>>4.80000E-05 1.32480E-04 5.62539E-03
    >>>4.90000E-05 1.33100E-04 7.86910E-03
    >>>5.00000E-05 1.39020E-04 1.22758E-02
    >>>5.10000E-05 1.41100E-04 1.36011E-02
    >>>5.20000E-05 1.48160E-04 1.39448E-02
    >>>5.30000E-05 1.52940E-04 1.94981E-02
    >>>5.40000E-05 1.61560E-04 6.46100E-03
    >>>5.50000E-05 1.65280E-04 1.13263E-02
    >>>5.60000E-05 1.72640E-04 1.85615E-02
    >>>5.70000E-05 1.85200E-04 1.07518E-02
    >>>5.80000E-05 1.89740E-04 1.73471E-02
    >>>5.90000E-05 1.97920E-04 1.35106E-02
    >>>6.00000E-05 2.13840E-04 5.34338E-03
    >>>6.10000E-05 2.24300E-04 5.48210E-03
    >>>6.20000E-05 5.95200E-05 1.34556E-02
    >>>6.30000E-05 6.30800E-05 9.99361E-03
    >>>6.40000E-05 6.02600E-05 1.66990E-02
    >>>6.50000E-05 6.49000E-05 1.49389E-02
    >>>6.60000E-05 6.54000E-05 1.09837E-02
    >>>6.70000E-05 6.79200E-05 1.57297E-02
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    >>>6.90000E-05 7.55200E-05 1.42640E-02
    >>>7.00000E-05 7.72000E-05 1.70178E-02
    >>>7.10000E-05 8.18600E-05 1.60099E-02
    >>>7.20000E-05 9.03000E-05 1.54999E-02
    >>>7.30000E-05 1.03880E-04 7.25125E-03
    >>>7.40000E-05 1.11780E-04 1.13457E-02
    >>>7.50000E-05 1.24220E-04 7.04292E-03
    >>>7.60000E-05 1.35440E-04 7.56063E-03
    >>>7.70000E-05 1.39460E-04 1.02456E-02
    >>>7.80000E-05 1.47520E-04 1.78455E-02
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    >>>8.00000E-05 1.59640E-04 8.27619E-03
    >>>8.10000E-05 1.62420E-04 4.07193E-03
    >>>8.20000E-05 1.68380E-04 8.94083E-03
    >>>8.30000E-05 1.71280E-04 7.43198E-03
    >>>8.40000E-05 1.78260E-04 8.33690E-03
    >>>8.50000E-05 1.79440E-04 1.80880E-02
    >>>8.60000E-05 1.83820E-04 1.02837E-02
    >>>8.70000E-05 1.93120E-04 1.11353E-02
    >>>8.80000E-05 1.93960E-04 1.06445E-02
    >>>8.90000E-05 1.96580E-04 1.33860E-02
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    >>>9.80000E-05 2.52960E-04 1.35708E-02
    >>>9.90000E-05 4.43420E-04 5.50536E-03
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    >>>1.10000E-04 4.83960E-04 5.06834E-03
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    >>>1.02400E-03 0.00000E+00 0.00000E+00
    >>> TOTAL 1.00000E+00 4.08603E-05
    >>>
    >>>
    >>>------------------------------------------------------------------------
    >>>
    >>>
    >>>Analisi in efficienza rivelatore HPGe - lab. radioprotezione
    >>>DATE: 7/10/ 5, TIME: 18:30:17
    >>>NUMBER OF PARTICLE HISTORIES =3D 20000000
    >>>DETECTOR NUMBER =3D 1
    >>>DETECTOR NAME =3D HPGE
    >>>ENERGY BIN NUMBER =3D 1024
    >>>MINIMUM SCORED ENERGY =3D 0.00000E+00
    >>>BIN ENERGY =3D 1.00000E-06
    >>>THRESHOLD ENERGY =3D 0.00000E+00
    >>>1.00000E-06 9.59264E-01 2.28975E-05
    >>>2.00000E-06 9.70000E-06 3.09708E-02
    >>>3.00000E-06 1.28200E-05 2.80865E-02
    >>>4.00000E-06 1.63200E-05 3.45074E-02
    >>>5.00000E-06 1.90500E-05 4.11078E-02
    >>>6.00000E-06 2.11600E-05 1.15132E-02
    >>>7.00000E-06 2.44000E-05 7.09857E-03
    >>>8.00000E-06 2.73200E-05 2.17674E-02
    >>>9.00000E-06 2.98200E-05 1.60002E-02
    >>>1.00000E-05 1.57200E-04 7.93510E-03
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    >>>1.30000E-05 4.52800E-05 1.61861E-02
    >>>1.40000E-05 4.97100E-05 1.18005E-02
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    >>>1.60000E-05 5.55100E-05 1.25148E-02
    >>>1.70000E-05 5.98500E-05 5.11589E-03
    >>>1.80000E-05 6.38400E-05 1.20099E-02
    >>>1.90000E-05 7.21900E-05 9.55058E-03
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    >>>2.10000E-05 8.50900E-05 7.83621E-03
    >>>2.20000E-05 9.45500E-05 6.20097E-03
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    >>>3.10000E-05 3.81000E-06 4.88217E-02
    >>>3.20000E-05 3.62000E-06 6.94190E-02
    >>>3.30000E-05 3.26000E-06 7.72068E-02
    >>>3.40000E-05 2.72000E-06 3.70394E-02
    >>>3.50000E-05 2.84000E-06 4.06839E-02
    >>>3.60000E-05 2.69000E-06 8.54614E-02
    >>>3.70000E-05 3.01000E-06 6.06710E-02
    >>>3.80000E-05 3.40000E-06 2.63067E-02
    >>>3.90000E-05 2.97000E-06 1.13758E-01
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    >>>4.40000E-05 6.15000E-06 2.62187E-02
    >>>4.50000E-05 7.78000E-06 2.87125E-02
    >>>4.60000E-05 1.01600E-05 1.36914E-02
    >>>4.70000E-05 1.25500E-05 5.14700E-02
    >>>4.80000E-05 1.57200E-05 1.20109E-02
    >>>4.90000E-05 1.83100E-05 3.05844E-02
    >>>5.00000E-05 2.26900E-05 1.04387E-02
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    >>>9.07000E-04 0.00000E+00 0.00000E+00
    >>>9.08000E-04 0.00000E+00 0.00000E+00
    >>>9.09000E-04 0.00000E+00 0.00000E+00
    >>>9.10000E-04 0.00000E+00 0.00000E+00
    >>>9.11000E-04 0.00000E+00 0.00000E+00
    >>>9.12000E-04 0.00000E+00 0.00000E+00
    >>>9.13000E-04 0.00000E+00 0.00000E+00
    >>>9.14000E-04 0.00000E+00 0.00000E+00
    >>>9.15000E-04 0.00000E+00 0.00000E+00
    >>>9.16000E-04 0.00000E+00 0.00000E+00
    >>>9.17000E-04 0.00000E+00 0.00000E+00
    >>>9.18000E-04 0.00000E+00 0.00000E+00
    >>>9.19000E-04 0.00000E+00 0.00000E+00
    >>>9.20000E-04 0.00000E+00 0.00000E+00
    >>>9.21000E-04 0.00000E+00 0.00000E+00
    >>>9.22000E-04 0.00000E+00 0.00000E+00
    >>>9.23000E-04 0.00000E+00 0.00000E+00
    >>>9.24000E-04 0.00000E+00 0.00000E+00
    >>>9.25000E-04 0.00000E+00 0.00000E+00
    >>>9.26000E-04 0.00000E+00 0.00000E+00
    >>>9.27000E-04 0.00000E+00 0.00000E+00
    >>>9.28000E-04 0.00000E+00 0.00000E+00
    >>>9.29000E-04 0.00000E+00 0.00000E+00
    >>>9.30000E-04 0.00000E+00 0.00000E+00
    >>>9.31000E-04 0.00000E+00 0.00000E+00
    >>>9.32000E-04 0.00000E+00 0.00000E+00
    >>>9.33000E-04 0.00000E+00 0.00000E+00
    >>>9.34000E-04 0.00000E+00 0.00000E+00
    >>>9.35000E-04 0.00000E+00 0.00000E+00
    >>>9.36000E-04 0.00000E+00 0.00000E+00
    >>>9.37000E-04 0.00000E+00 0.00000E+00
    >>>9.38000E-04 0.00000E+00 0.00000E+00
    >>>9.39000E-04 0.00000E+00 0.00000E+00
    >>>9.40000E-04 0.00000E+00 0.00000E+00
    >>>9.41000E-04 0.00000E+00 0.00000E+00
    >>>9.42000E-04 0.00000E+00 0.00000E+00
    >>>9.43000E-04 0.00000E+00 0.00000E+00
    >>>9.44000E-04 0.00000E+00 0.00000E+00
    >>>9.45000E-04 0.00000E+00 0.00000E+00
    >>>9.46000E-04 0.00000E+00 0.00000E+00
    >>>9.47000E-04 0.00000E+00 0.00000E+00
    >>>9.48000E-04 0.00000E+00 0.00000E+00
    >>>9.49000E-04 0.00000E+00 0.00000E+00
    >>>9.50000E-04 0.00000E+00 0.00000E+00
    >>>9.51000E-04 0.00000E+00 0.00000E+00
    >>>9.52000E-04 0.00000E+00 0.00000E+00
    >>>9.53000E-04 0.00000E+00 0.00000E+00
    >>>9.54000E-04 0.00000E+00 0.00000E+00
    >>>9.55000E-04 0.00000E+00 0.00000E+00
    >>>9.56000E-04 0.00000E+00 0.00000E+00
    >>>9.57000E-04 0.00000E+00 0.00000E+00
    >>>9.58000E-04 0.00000E+00 0.00000E+00
    >>>9.59000E-04 0.00000E+00 0.00000E+00
    >>>9.60000E-04 0.00000E+00 0.00000E+00
    >>>9.61000E-04 0.00000E+00 0.00000E+00
    >>>9.62000E-04 0.00000E+00 0.00000E+00
    >>>9.63000E-04 0.00000E+00 0.00000E+00
    >>>9.64000E-04 0.00000E+00 0.00000E+00
    >>>9.65000E-04 0.00000E+00 0.00000E+00
    >>>9.66000E-04 0.00000E+00 0.00000E+00
    >>>9.67000E-04 0.00000E+00 0.00000E+00
    >>>9.68000E-04 0.00000E+00 0.00000E+00
    >>>9.69000E-04 0.00000E+00 0.00000E+00
    >>>9.70000E-04 0.00000E+00 0.00000E+00
    >>>9.71000E-04 0.00000E+00 0.00000E+00
    >>>9.72000E-04 0.00000E+00 0.00000E+00
    >>>9.73000E-04 0.00000E+00 0.00000E+00
    >>>9.74000E-04 0.00000E+00 0.00000E+00
    >>>9.75000E-04 0.00000E+00 0.00000E+00
    >>>9.76000E-04 0.00000E+00 0.00000E+00
    >>>9.77000E-04 0.00000E+00 0.00000E+00
    >>>9.78000E-04 0.00000E+00 0.00000E+00
    >>>9.79000E-04 0.00000E+00 0.00000E+00
    >>>9.80000E-04 0.00000E+00 0.00000E+00
    >>>9.81000E-04 0.00000E+00 0.00000E+00
    >>>9.82000E-04 0.00000E+00 0.00000E+00
    >>>9.83000E-04 0.00000E+00 0.00000E+00
    >>>9.84000E-04 0.00000E+00 0.00000E+00
    >>>9.85000E-04 0.00000E+00 0.00000E+00
    >>>9.86000E-04 0.00000E+00 0.00000E+00
    >>>9.87000E-04 0.00000E+00 0.00000E+00
    >>>9.88000E-04 0.00000E+00 0.00000E+00
    >>>9.89000E-04 0.00000E+00 0.00000E+00
    >>>9.90000E-04 0.00000E+00 0.00000E+00
    >>>9.91000E-04 0.00000E+00 0.00000E+00
    >>>9.92000E-04 0.00000E+00 0.00000E+00
    >>>9.93000E-04 0.00000E+00 0.00000E+00
    >>>9.94000E-04 0.00000E+00 0.00000E+00
    >>>9.95000E-04 0.00000E+00 0.00000E+00
    >>>9.96000E-04 0.00000E+00 0.00000E+00
    >>>9.97000E-04 0.00000E+00 0.00000E+00
    >>>9.98000E-04 0.00000E+00 0.00000E+00
    >>>9.99000E-04 0.00000E+00 0.00000E+00
    >>>1.00000E-03 0.00000E+00 0.00000E+00
    >>>1.00100E-03 0.00000E+00 0.00000E+00
    >>>1.00200E-03 0.00000E+00 0.00000E+00
    >>>1.00300E-03 0.00000E+00 0.00000E+00
    >>>1.00400E-03 0.00000E+00 0.00000E+00
    >>>1.00500E-03 0.00000E+00 0.00000E+00
    >>>1.00600E-03 0.00000E+00 0.00000E+00
    >>>1.00700E-03 0.00000E+00 0.00000E+00
    >>>1.00800E-03 0.00000E+00 0.00000E+00
    >>>1.00900E-03 0.00000E+00 0.00000E+00
    >>>1.01000E-03 0.00000E+00 0.00000E+00
    >>>1.01100E-03 0.00000E+00 0.00000E+00
    >>>1.01200E-03 0.00000E+00 0.00000E+00
    >>>1.01300E-03 0.00000E+00 0.00000E+00
    >>>1.01400E-03 0.00000E+00 0.00000E+00
    >>>1.01500E-03 0.00000E+00 0.00000E+00
    >>>1.01600E-03 0.00000E+00 0.00000E+00
    >>>1.01700E-03 0.00000E+00 0.00000E+00
    >>>1.01800E-03 0.00000E+00 0.00000E+00
    >>>1.01900E-03 0.00000E+00 0.00000E+00
    >>>1.02000E-03 0.00000E+00 0.00000E+00
    >>>1.02100E-03 0.00000E+00 0.00000E+00
    >>>1.02200E-03 0.00000E+00 0.00000E+00
    >>>1.02300E-03 0.00000E+00 0.00000E+00
    >>>1.02400E-03 0.00000E+00 0.00000E+00
    >>> TOTAL 1.00000E+00 3.42285E-05
    >>>
    >>>
    >>> =20
    >>>
    >
    > =20
    >


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