(************** Content-type: application/mathematica ************** Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 30072, 2900]*) (*NotebookOutlinePosition[ 30933, 2931]*) (* CellTagsIndexPosition[ 30889, 2927]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{Cell["Projection View of Quartz (SiO2) Crystal ", "Title", ImageRegion->{{0, 1}, {0, 1}}], Cell["(MD-Unit Cell Conversion)", "Subtitle", ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ "Authors: K. Nishidate, Y. Fujimura*, K. Nishikawa, M. Suhara\n \ Department of Chemistry, Faculty of Science, Kanazawa University,\n \ Kanazawa, 920, Japan\n * Addison-Wesley Publishing Company Japan\n\n", StyleBox["Copyright 1992 Permission is granted to modify and/or make copies \ of \nthis package(CrystalsMotion) for any purpose other than direct \nprofit, \ or as part of a commercial product, provided this copyright \nnotice is left \ intact and incorporated in the modified version. ", FontSize->12, FontSlant->"Plain"] }], "Subsubtitle", ImageRegion->{{0, 1}, {0, 1}}], Cell[CellGroupData[{Cell[TextData[StyleBox["Overview", FontSize->19, FontSlant->"Italic"]], "Subsection", CellDingbat->"\[GrayCircle]", ImageRegion->{{0, 1}, {0, 1}}], Cell[TextData[{ StyleBox["Mathematica", FontSlant->"Italic"], " gives us a very useful and simple way to visualize Molecular Dynamics \ (MD) simulations. ", StyleBox["Mathematica", FontSlant->"Italic"], " is used to animate the motion of ions from the results of MD calculations \ produced by the ANRZR2 and MXDORTO programs, written by K. Nishidate and K. \ Kawamura respectively. These Notebooks allow us to \"look\" at the dynamic \ motion of ions within a crystal from the results of MD calculation. There are \ many advantages to using ", StyleBox["Mathematica", FontSlant->"Italic"], " to analyze the MD simlation. For example, we can easily to view not only \ the animation of crystals, but also the graphics of trajectory of atoms over \ the MD simulation. Utilizing the graphics object in animation Notebooks, \ stereoscopic views and projections of crystals can also be obtained ." }], "Text", ImageRegion->{{0, 1}, {0, 1}}, FontSize->14], Cell[CellGroupData[{Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.952381 -0.168394 0.952381 [ [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p P 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath p p % Start of sub-graphic p .02381 .52268 .47732 .97619 MathSubStart %% Graphics3D /Courier findfont 10 scalefont setfont % Scaling calculations -0.061458 1.196679 0.029917 1.196679 [ [ 0 0 0 0 ] [ 1 1.16834 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 0 m 1 0 L 1 1.16834 L 0 1.16834 L closepath clip newpath p .002 w .08774 .21115 m .02992 .70806 L s .02992 .70806 m .53695 1.13842 L s .53695 1.13842 m .53694 .68847 L s .53694 .68847 m .08774 .21115 L s .5368 .02992 m .92715 .56682 L s .92715 .56682 m .97008 1.03056 L s .97008 1.03056 m .53679 .53951 L s .53679 .53951 m .5368 .02992 L s .08774 .21115 m .02992 .70806 L s .02992 .70806 m .53679 .53951 L s .53679 .53951 m .5368 .02992 L s .5368 .02992 m .08774 .21115 L s .53694 .68847 m .92715 .56682 L s .92715 .56682 m .97008 1.03056 L s .97008 1.03056 m .53695 1.13842 L s .53695 1.13842 m .53694 .68847 L s P p .3 g .004 w .76678 .67421 m .70537 .63547 L s P p 0 0 1 r .03 w .70537 .63547 Mdot P p .3 g .004 w .76678 .67421 m .7852 .63725 L s P p 1 0 1 r .03 w .76678 .67421 Mdot P p .3 g .004 w .48618 .77278 m .54297 .82286 L s P p 1 0 1 r .03 w .48618 .77278 Mdot P p .3 g .004 w .6782 .73444 m .7852 .63725 L s P p .3 g .004 w .7357 .48529 m .7852 .63725 L s P p 0 0 1 r .03 w .7852 .63725 Mdot P p .3 g .004 w .7357 .48529 m .74304 .34139 L s P p 1 0 1 r .03 w .7357 .48529 Mdot P p .3 g .004 w .59863 .97536 m .72111 1.0694 L s P p 0 0 1 r .03 w .72111 1.0694 Mdot P p 0 0 1 r .03 w .72111 1.0694 Mdot P p .3 g .004 w .59863 .97536 m .54297 .82286 L s P p 1 0 1 r .03 w .59863 .97536 Mdot P p .3 g .004 w .6782 .73444 m .54297 .82286 L s P p .3 g .004 w .41035 .83188 m .54297 .82286 L s P p 0 0 1 r .03 w .54297 .82286 Mdot P p .3 g .004 w .35772 .52685 m .35682 .48246 L s P p 1 0 1 r .03 w .35772 .52685 Mdot P p 1 0 1 r .03 w .6782 .73444 Mdot P p 0 0 1 r .03 w .74304 .34139 Mdot P p 1 0 1 r .03 w .41035 .83188 Mdot P p .3 g .004 w .23299 .57956 m .35682 .48246 L s P p .3 g .004 w .49294 .48229 m .35682 .48246 L s P p 0 0 1 r .03 w .35682 .48246 Mdot P p .3 g .004 w .3052 .31588 m .30054 .15714 L s P p 1 0 1 r .03 w .3052 .31588 Mdot P p 1 0 1 r .03 w .23299 .57956 Mdot P p 0 0 1 r .03 w .30054 .15714 Mdot P p .3 g .004 w .49294 .48229 m .5621 .51839 L s P p 1 0 1 r .03 w .49294 .48229 Mdot P p .3 g .004 w .62243 .69348 m .76386 .80129 L s P p .3 g .004 w .62243 .69348 m .5621 .51839 L s P p 1 0 1 r .03 w .62243 .69348 Mdot P p .3 g .004 w .41146 .52076 m .5621 .51839 L s P p 0 0 1 r .03 w .5621 .51839 Mdot P p .3 g .004 w .41146 .52076 m .273 .63095 L s P p 1 0 1 r .03 w .41146 .52076 Mdot P p 0 0 1 r .03 w .273 .63095 Mdot P p .002 w .5368 .02992 m .92715 .56682 L s .92715 .56682 m .97008 1.03056 L s .97008 1.03056 m .53679 .53951 L s .53679 .53951 m .5368 .02992 L s .08774 .21115 m .02992 .70806 L s .02992 .70806 m .53679 .53951 L s .53679 .53951 m .5368 .02992 L s .5368 .02992 m .08774 .21115 L s P p P MathSubEnd P % End of sub-graphic % Start of sub-graphic p .52268 .52268 .97619 .97619 MathSubStart %% Graphics3D /Courier findfont 10 scalefont setfont % Scaling calculations -0.345333 1.690666 0.042267 1.690666 [ [ 0 0 0 0 ] [ 1 1.7752 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 0 m 1 0 L 1 1.7752 L 0 1.7752 L closepath clip newpath p .002 w .26451 .4527 m .04227 .04227 L s .04227 .04227 m .04227 1.73293 L s .04227 1.73293 m .26451 1.3225 L s .26451 1.3225 m .26451 .4527 L s .73549 .4527 m .73549 1.3225 L s .73549 1.3225 m .95773 1.73293 L s .95773 1.73293 m .95773 .04227 L s .95773 .04227 m .73549 .4527 L s .26451 .4527 m .04227 .04227 L s .04227 .04227 m .95773 .04227 L s .95773 .04227 m .73549 .4527 L s .73549 .4527 m .26451 .4527 L s .26451 1.3225 m .73549 1.3225 L s .73549 1.3225 m .95773 1.73293 L s .95773 1.73293 m .04227 1.73293 L s .04227 1.73293 m .26451 1.3225 L s P p .3 g .004 w .66487 1.02438 m .7269 .89012 L s P p 0 0 1 r .03 w .7269 .89012 Mdot P p .3 g .004 w .58671 1.29452 m .48323 1.30761 L s P p .3 g .004 w .40611 .58013 m .48299 .46759 L s P p 0 0 1 r .03 w .48323 1.30761 Mdot P p 0 0 1 r .03 w .48299 .46759 Mdot P p .3 g .004 w .66487 1.02438 m .68181 1.17117 L s P p 1 0 1 r .03 w .66487 1.02438 Mdot P p 1 0 1 r .03 w .40611 .58013 Mdot P p .3 g .004 w .58671 1.29452 m .68181 1.17117 L s P p 1 0 1 r .03 w .58671 1.29452 Mdot P p .3 g .004 w .30963 .82419 m .38838 .67229 L s P p 1 0 1 r .03 w .30963 .82419 Mdot P p .3 g .004 w .57656 1.13865 m .68181 1.17117 L s P p 0 0 1 r .03 w .68181 1.17117 Mdot P p .3 g .004 w .24638 .5661 m .38838 .67229 L s P p .3 g .004 w .56846 .65524 m .38838 .67229 L s P p 0 0 1 r .03 w .38838 .67229 Mdot P p .3 g .004 w .2652 1.18255 m .36668 1.15203 L s P p 1 0 1 r .03 w .2652 1.18255 Mdot P p .3 g .004 w .56846 .65524 m .72204 .54385 L s P p 1 0 1 r .03 w .56846 .65524 Mdot P p .3 g .004 w .57656 1.13865 m .36668 1.15203 L s P p 1 0 1 r .03 w .57656 1.13865 Mdot P p 1 0 1 r .03 w .24638 .5661 Mdot P p .3 g .004 w .34943 1.3841 m .36668 1.15203 L s P p .3 g .004 w .23775 .97384 m .36668 1.15203 L s P p 0 0 1 r .03 w .36668 1.15203 Mdot P p .3 g .004 w .76039 .67103 m .72204 .54385 L s P p .3 g .004 w .62155 .31936 m .72204 .54385 L s P p 0 0 1 r .03 w .72204 .54385 Mdot P p 1 0 1 r .03 w .23775 .97384 Mdot P p .3 g .004 w .62155 .31936 m .47005 .10565 L s P p 1 0 1 r .03 w .62155 .31936 Mdot P p .3 g .004 w .76039 .67103 m .92115 .8876 L s P p 1 0 1 r .03 w .76039 .67103 Mdot P p .3 g .004 w .34943 1.3841 m .46584 1.67499 L s P p 1 0 1 r .03 w .34943 1.3841 Mdot P p 0 0 1 r .03 w .47005 .10565 Mdot P p 0 0 1 r .03 w .46584 1.67499 Mdot P p 0 0 1 r .03 w .46584 1.67499 Mdot P p P p P MathSubEnd P % End of sub-graphic P p % Start of sub-graphic p .02381 .02381 .47732 .47732 MathSubStart %% Graphics3D /Courier findfont 10 scalefont setfont % Scaling calculations -0.05897 1.117939 0.027948 1.117939 [ [ 0 0 0 0 ] [ 1 1.17384 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 0 m 1 0 L 1 1.17384 L 0 1.17384 L closepath clip newpath p .002 w .65735 .40059 m .65735 .77324 L s .65735 .77324 m .97205 1.14589 L s .97205 1.14589 m .97205 .02795 L s .97205 .02795 m .65735 .40059 L s .34265 .40059 m .02795 .02795 L s .02795 .02795 m .02795 1.14589 L s .02795 1.14589 m .34265 .77324 L s .34265 .77324 m .34265 .40059 L s .65735 .40059 m .65735 .77324 L s .65735 .77324 m .34265 .77324 L s .34265 .77324 m .34265 .40059 L s .34265 .40059 m .65735 .40059 L s .97205 .02795 m .02795 .02795 L s .02795 .02795 m .02795 1.14589 L s .02795 1.14589 m .97205 1.14589 L s .97205 1.14589 m .97205 .02795 L s P p .3 g .004 w .56608 .43389 m .51139 .4084 L s P p 0 0 1 r .03 w .51139 .4084 Mdot P p .3 g .004 w .4457 .69169 m .51075 .76579 L s P p 0 0 1 r .03 w .51075 .76579 Mdot P p .3 g .004 w .4457 .69169 m .38059 .65614 L s P p 1 0 1 r .03 w .4457 .69169 Mdot P p 1 0 1 r .03 w .56608 .43389 Mdot P p .3 g .004 w .64603 .6122 m .57709 .51669 L s P p 1 0 1 r .03 w .64603 .6122 Mdot P p .3 g .004 w .3676 .76454 m .38059 .65614 L s P p .3 g .004 w .45569 .56473 m .38059 .65614 L s P p 0 0 1 r .03 w .38059 .65614 Mdot P p .3 g .004 w .45569 .56473 m .57709 .51669 L s P p 1 0 1 r .03 w .45569 .56473 Mdot P p .3 g .004 w .65839 .45028 m .57709 .51669 L s P p 0 0 1 r .03 w .57709 .51669 Mdot P p .3 g .004 w .3676 .76454 m .27689 .85019 L s P p 1 0 1 r .03 w .3676 .76454 Mdot P p 1 0 1 r .03 w .65839 .45028 Mdot P p .3 g .004 w .31898 .34767 m .27457 .31998 L s P p 0 0 1 r .03 w .27457 .31998 Mdot P p .3 g .004 w .67676 .74262 m .61479 .69737 L s P p 1 0 1 r .03 w .67676 .74262 Mdot P p .3 g .004 w .31898 .34767 m .29119 .46517 L s P p 1 0 1 r .03 w .31898 .34767 Mdot P p .3 g .004 w .42874 .62327 m .61479 .69737 L s P p .3 g .004 w .6306 .89302 m .61479 .69737 L s P p .3 g .004 w .7512 .54536 m .61479 .69737 L s P p 0 0 1 r .03 w .61479 .69737 Mdot P p .3 g .004 w .42874 .62327 m .29119 .46517 L s P p 1 0 1 r .03 w .42874 .62327 Mdot P p 1 0 1 r .03 w .7512 .54536 Mdot P p .3 g .004 w .36893 .33751 m .29119 .46517 L s P p 0 0 1 r .03 w .29119 .46517 Mdot P p .3 g .004 w .6306 .89302 m .53439 1.09507 L s P p 1 0 1 r .03 w .6306 .89302 Mdot P p .3 g .004 w .36893 .33751 m .53164 .08381 L s P p 1 0 1 r .03 w .36893 .33751 Mdot P p 0 0 1 r .03 w .53439 1.09507 Mdot P p 0 0 1 r .03 w .53439 1.09507 Mdot P p 0 0 1 r .03 w .53164 .08381 Mdot P p .002 w .97205 .02795 m .02795 .02795 L s .02795 .02795 m .02795 1.14589 L s .02795 1.14589 m .97205 1.14589 L s .97205 1.14589 m .97205 .02795 L s P p P MathSubEnd P % End of sub-graphic % Start of sub-graphic p .52268 .02381 .97619 .47732 MathSubStart %% Graphics3D /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.952381 -0.147055 0.952381 [ [ 0 0 0 0 ] [ 1 .65827 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 0 m 1 0 L 1 .65827 L 0 .65827 L closepath clip newpath p .002 w .22672 .15391 m .22672 .50436 L s .22672 .50436 m .77328 .50436 L s .77328 .50436 m .77328 .15391 L s .77328 .15391 m .22672 .15391 L s .02381 .02381 m .97619 .02381 L s .97619 .02381 m .97619 .63446 L s .97619 .63446 m .02381 .63446 L s .02381 .63446 m .02381 .02381 L s .22672 .15391 m .22672 .50436 L s .22672 .50436 m .02381 .63446 L s .02381 .63446 m .02381 .02381 L s .02381 .02381 m .22672 .15391 L s .77328 .15391 m .97619 .02381 L s .97619 .02381 m .97619 .63446 L s .97619 .63446 m .77328 .50436 L s .77328 .50436 m .77328 .15391 L s P p .3 g .004 w .3456 .35022 m .37093 .26818 L s P p 1 0 1 r .03 w .3456 .35022 Mdot P p .3 g .004 w .65235 .30907 m .63023 .39231 L s P p 1 0 1 r .03 w .65235 .30907 Mdot P p .3 g .004 w .46251 .23204 m .37093 .26818 L s P p 1 0 1 r .03 w .46251 .23204 Mdot P p .3 g .004 w .53648 .42685 m .63023 .39231 L s P p 1 0 1 r .03 w .53648 .42685 Mdot P p .3 g .004 w .3457 .30637 m .37093 .26818 L s P p 0 0 1 r .03 w .37093 .26818 Mdot P p .3 g .004 w .65692 .35355 m .63023 .39231 L s P p .3 g .004 w .70873 .47749 m .63023 .39231 L s P p 0 0 1 r .03 w .63023 .39231 Mdot P p .3 g .004 w .29168 .18181 m .17553 .12315 L s P p 1 0 1 r .03 w .29168 .18181 Mdot P p .3 g .004 w .70873 .47749 m .82403 .5369 L s P p 1 0 1 r .03 w .70873 .47749 Mdot P p 0 0 1 r .03 w .82403 .5369 Mdot P p 0 0 1 r .03 w .82403 .5369 Mdot P p 0 0 1 r .03 w .17553 .12315 Mdot P p .3 g .004 w .81509 .20137 m .82456 .1231 L s P p 0 0 1 r .03 w .82456 .1231 Mdot P p .3 g .004 w .18718 .45825 m .17615 .53555 L s P p 0 0 1 r .03 w .17615 .53555 Mdot P p .3 g .004 w .3457 .30637 m .27377 .41385 L s P p 1 0 1 r .03 w .3457 .30637 Mdot P p .3 g .004 w .65692 .35355 m .72879 .2436 L s P p 1 0 1 r .03 w .65692 .35355 Mdot P p .3 g .004 w .18718 .45825 m .27377 .41385 L s P p 1 0 1 r .03 w .18718 .45825 Mdot P p .3 g .004 w .81509 .20137 m .72879 .2436 L s P p 1 0 1 r .03 w .81509 .20137 Mdot P p .3 g .004 w .37846 .52518 m .5 .61102 L s P p .3 g .004 w .37846 .52518 m .27377 .41385 L s P p 0 0 1 r .03 w .27377 .41385 Mdot P p 1 0 1 r .03 w .37846 .52518 Mdot P p .3 g .004 w .62404 .13154 m .72879 .2436 L s P p 0 0 1 r .03 w .72879 .2436 Mdot P p .3 g .004 w .62404 .13154 m .50268 .0434 L s P p 1 0 1 r .03 w .62404 .13154 Mdot P p 0 0 1 r .03 w .50268 .0434 Mdot P p .002 w .02381 .02381 m .97619 .02381 L s .97619 .02381 m .97619 .63446 L s .97619 .63446 m .02381 .63446 L s .02381 .63446 m .02381 .02381 L s P p P MathSubEnd P % End of sub-graphic P P % End of Graphics MathPictureEnd\ \>"], "Graphics", ImageSize->{282, 282}, ImageMargins->{{34, Inherited}, {Inherited, Inherited}}, ImageRegion->{{0, 1}, {0, 1}}, AnimationDisplayTime->1, AnimationCycleOffset->0.0625, AnimationCycleRepetitions->Infinity, ImageCacheValid->False], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.952381 -0.168394 0.952381 [ [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p P 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath p p % Start of sub-graphic p .02381 .52268 .47732 .97619 MathSubStart %% Graphics3D /Courier findfont 10 scalefont setfont % Scaling calculations -0.056537 1.18617 0.029654 1.18617 [ [ 0 0 0 0 ] [ 1 1.15701 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 0 m 1 0 L 1 1.15701 L 0 1.15701 L closepath clip newpath p .002 w .08708 .21306 m .02965 .70168 L s .02965 .70168 m .53213 1.12736 L s .53213 1.12736 m .53254 .68493 L s .53254 .68493 m .08708 .21306 L s .54175 .02965 m .92759 .56184 L s .92759 .56184 m .97035 1.01813 L s .97035 1.01813 m .54246 .53102 L s .54246 .53102 m .54175 .02965 L s .08708 .21306 m .02965 .70168 L s .02965 .70168 m .54246 .53102 L s .54246 .53102 m .54175 .02965 L s .54175 .02965 m .08708 .21306 L s .53254 .68493 m .92759 .56184 L s .92759 .56184 m .97035 1.01813 L s .97035 1.01813 m .53213 1.12736 L s .53213 1.12736 m .53254 .68493 L s P p .3 g .004 w .75644 .66516 m .70942 .63024 L s P p 0 0 1 r .03 w .70942 .63024 Mdot P p .3 g .004 w .75644 .66516 m .76009 .63334 L s P p 1 0 1 r .03 w .75644 .66516 Mdot P p .3 g .004 w .47737 .77546 m .5351 .82248 L s P p 1 0 1 r .03 w .47737 .77546 Mdot P p .3 g .004 w .65501 .72781 m .76009 .63334 L s P p .3 g .004 w .72673 .48157 m .76009 .63334 L s P p 0 0 1 r .03 w .76009 .63334 Mdot P p .3 g .004 w .72673 .48157 m .74516 .34061 L s P p 1 0 1 r .03 w .72673 .48157 Mdot P p .3 g .004 w .59742 .9662 m .72271 1.05429 L s P p 0 0 1 r .03 w .72271 1.05429 Mdot P p 0 0 1 r .03 w .72271 1.05429 Mdot P p .3 g .004 w .59742 .9662 m .5351 .82248 L s P p 1 0 1 r .03 w .59742 .9662 Mdot P p .3 g .004 w .65501 .72781 m .5351 .82248 L s P p .3 g .004 w .41359 .82817 m .5351 .82248 L s P p 0 0 1 r .03 w .5351 .82248 Mdot P p .3 g .004 w .36029 .51164 m .34335 .47114 L s P p 1 0 1 r .03 w .36029 .51164 Mdot P p 1 0 1 r .03 w .65501 .72781 Mdot P p 0 0 1 r .03 w .74516 .34061 Mdot P p 1 0 1 r .03 w .41359 .82817 Mdot P p .3 g .004 w .21903 .56965 m .34335 .47114 L s P p .3 g .004 w .48417 .48934 m .34335 .47114 L s P p .3 g .004 w .29683 .30999 m .34335 .47114 L s P p 0 0 1 r .03 w .34335 .47114 Mdot P p .3 g .004 w .29683 .30999 m .31225 .15516 L s P p 1 0 1 r .03 w .29683 .30999 Mdot P p 1 0 1 r .03 w .21903 .56965 Mdot P p .3 g .004 w .48417 .48934 m .54807 .52455 L s P p 1 0 1 r .03 w .48417 .48934 Mdot P p 0 0 1 r .03 w .31225 .15516 Mdot P p .3 g .004 w .62111 .68851 m .76617 .79081 L s P p .3 g .004 w .62111 .68851 m .54807 .52455 L s P p .3 g .004 w .41097 .51634 m .54807 .52455 L s P p 0 0 1 r .03 w .54807 .52455 Mdot P p 1 0 1 r .03 w .62111 .68851 Mdot P p .3 g .004 w .41097 .51634 m .2802 .62076 L s P p 1 0 1 r .03 w .41097 .51634 Mdot P p 0 0 1 r .03 w .2802 .62076 Mdot P p .002 w .54175 .02965 m .92759 .56184 L s .92759 .56184 m .97035 1.01813 L s .97035 1.01813 m .54246 .53102 L s .54246 .53102 m .54175 .02965 L s .08708 .21306 m .02965 .70168 L s .02965 .70168 m .54246 .53102 L s .54246 .53102 m .54175 .02965 L s .54175 .02965 m .08708 .21306 L s P p P MathSubEnd P % End of sub-graphic % Start of sub-graphic p .52268 .52268 .97619 .97619 MathSubStart %% Graphics3D /Courier findfont 10 scalefont setfont % Scaling calculations -0.328471 1.656942 0.041424 1.656942 [ [ 0 0 0 0 ] [ 1 1.73979 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 0 m 1 0 L 1 1.73979 L 0 1.73979 L closepath clip newpath p .002 w .26298 .44169 m .04142 .04142 L s .04142 .04142 m .04142 1.69837 L s .04142 1.69837 m .26298 1.29809 L s .26298 1.29809 m .26298 .44169 L s .73702 .44169 m .73702 1.29809 L s .73702 1.29809 m .95858 1.69837 L s .95858 1.69837 m .95858 .04142 L s .95858 .04142 m .73702 .44169 L s .26298 .44169 m .04142 .04142 L s .04142 .04142 m .95858 .04142 L s .95858 .04142 m .73702 .44169 L s .73702 .44169 m .26298 .44169 L s .26298 1.29809 m .73702 1.29809 L s .73702 1.29809 m .95858 1.69837 L s .95858 1.69837 m .04142 1.69837 L s .04142 1.69837 m .26298 1.29809 L s P p .3 g .004 w .40204 .55725 m .49124 .46103 L s P p 0 0 1 r .03 w .49124 .46103 Mdot P p .3 g .004 w .65847 .99713 m .72767 .8738 L s P p 0 0 1 r .03 w .72767 .8738 Mdot P p .3 g .004 w .58073 1.25888 m .49073 1.28388 L s P p 0 0 1 r .03 w .49073 1.28388 Mdot P p .3 g .004 w .40204 .55725 m .37859 .64773 L s P p 1 0 1 r .03 w .40204 .55725 Mdot P p .3 g .004 w .65847 .99713 m .65871 1.13234 L s P p 1 0 1 r .03 w .65847 .99713 Mdot P p .3 g .004 w .3193 .80143 m .37859 .64773 L s P p 1 0 1 r .03 w .3193 .80143 Mdot P p .3 g .004 w .58073 1.25888 m .65871 1.13234 L s P p 1 0 1 r .03 w .58073 1.25888 Mdot P p .3 g .004 w .23057 .55486 m .37859 .64773 L s P p .3 g .004 w .54693 .65737 m .37859 .64773 L s P p 0 0 1 r .03 w .37859 .64773 Mdot P p .3 g .004 w .5518 1.10112 m .65871 1.13234 L s P p 0 0 1 r .03 w .65871 1.13234 Mdot P p .3 g .004 w .54693 .65737 m .68842 .55211 L s P p 1 0 1 r .03 w .54693 .65737 Mdot P p .3 g .004 w .24983 1.17026 m .35013 1.14224 L s P p 1 0 1 r .03 w .24983 1.17026 Mdot P p 1 0 1 r .03 w .23057 .55486 Mdot P p .3 g .004 w .5518 1.10112 m .35013 1.14224 L s P p 1 0 1 r .03 w .5518 1.10112 Mdot P p .3 g .004 w .74692 .67232 m .68842 .55211 L s P p .3 g .004 w .61187 .3228 m .68842 .55211 L s P p 0 0 1 r .03 w .68842 .55211 Mdot P p .3 g .004 w .34554 1.36789 m .35013 1.14224 L s P p .3 g .004 w .2408 .96348 m .35013 1.14224 L s P p 0 0 1 r .03 w .35013 1.14224 Mdot P p .3 g .004 w .61187 .3228 m .48058 .10137 L s P p 1 0 1 r .03 w .61187 .3228 Mdot P p 1 0 1 r .03 w .2408 .96348 Mdot P p .3 g .004 w .74692 .67232 m .92723 .86183 L s P p 1 0 1 r .03 w .74692 .67232 Mdot P p .3 g .004 w .34554 1.36789 m .47744 1.63428 L s P p 1 0 1 r .03 w .34554 1.36789 Mdot P p 0 0 1 r .03 w .48058 .10137 Mdot P p 0 0 1 r .03 w .47744 1.63428 Mdot P p 0 0 1 r .03 w .47744 1.63428 Mdot P p P p P MathSubEnd P % End of sub-graphic P p % Start of sub-graphic p .02381 .02381 .47732 .47732 MathSubStart %% Graphics3D /Courier findfont 10 scalefont setfont % Scaling calculations -0.044127 1.088254 0.027206 1.088254 [ [ 0 0 0 0 ] [ 1 1.14267 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 0 m 1 0 L 1 1.14267 L 0 1.14267 L closepath clip newpath p .002 w .6576 .38996 m .6576 .75271 L s .6576 .75271 m .97279 1.11546 L s .97279 1.11546 m .97279 .02721 L s .97279 .02721 m .6576 .38996 L s .3424 .38996 m .02721 .02721 L s .02721 .02721 m .02721 1.11546 L s .02721 1.11546 m .3424 .75271 L s .3424 .75271 m .3424 .38996 L s .6576 .38996 m .6576 .75271 L s .6576 .75271 m .3424 .75271 L s .3424 .75271 m .3424 .38996 L s .3424 .38996 m .6576 .38996 L s .97279 .02721 m .02721 .02721 L s .02721 .02721 m .02721 1.11546 L s .02721 1.11546 m .97279 1.11546 L s .97279 1.11546 m .97279 .02721 L s P p .3 g .004 w .44964 .67089 m .50696 .74512 L s P p 0 0 1 r .03 w .50696 .74512 Mdot P p .3 g .004 w .56809 .42335 m .50587 .3953 L s P p 0 0 1 r .03 w .50587 .3953 Mdot P p .3 g .004 w .44964 .67089 m .39724 .63636 L s P p 1 0 1 r .03 w .44964 .67089 Mdot P p .3 g .004 w .56809 .42335 m .58328 .49861 L s P p 1 0 1 r .03 w .56809 .42335 Mdot P p .3 g .004 w .65624 .588 m .58328 .49861 L s P p 1 0 1 r .03 w .65624 .588 Mdot P p .3 g .004 w .37286 .74232 m .39724 .63636 L s P p .3 g .004 w .4693 .54778 m .39724 .63636 L s P p 0 0 1 r .03 w .39724 .63636 Mdot P p .3 g .004 w .64999 .43139 m .58328 .49861 L s P p .3 g .004 w .4693 .54778 m .58328 .49861 L s P p 0 0 1 r .03 w .58328 .49861 Mdot P p 1 0 1 r .03 w .4693 .54778 Mdot P p .3 g .004 w .37286 .74232 m .27597 .82916 L s P p 1 0 1 r .03 w .37286 .74232 Mdot P p 1 0 1 r .03 w .64999 .43139 Mdot P p .3 g .004 w .32893 .34393 m .27478 .31234 L s P p 0 0 1 r .03 w .27478 .31234 Mdot P p .3 g .004 w .67508 .726 m .63037 .68013 L s P p 1 0 1 r .03 w .67508 .726 Mdot P p .3 g .004 w .32893 .34393 m .32361 .46225 L s P p 1 0 1 r .03 w .32893 .34393 Mdot P p .3 g .004 w .45284 .608 m .32361 .46225 L s P p .3 g .004 w .45284 .608 m .63037 .68013 L s P p 1 0 1 r .03 w .45284 .608 Mdot P p .3 g .004 w .63665 .86711 m .63037 .68013 L s P p .3 g .004 w .7691 .53397 m .63037 .68013 L s P p 0 0 1 r .03 w .63037 .68013 Mdot P p .3 g .004 w .38092 .33359 m .32361 .46225 L s P p 0 0 1 r .03 w .32361 .46225 Mdot P p 1 0 1 r .03 w .7691 .53397 Mdot P p .3 g .004 w .63665 .86711 m .52258 1.06049 L s P p 1 0 1 r .03 w .63665 .86711 Mdot P p .3 g .004 w .38092 .33359 m .51739 .08403 L s P p 1 0 1 r .03 w .38092 .33359 Mdot P p 0 0 1 r .03 w .52258 1.06049 Mdot P p 0 0 1 r .03 w .52258 1.06049 Mdot P p 0 0 1 r .03 w .51739 .08403 Mdot P p .002 w .97279 .02721 m .02721 .02721 L s .02721 .02721 m .02721 1.11546 L s .02721 1.11546 m .97279 1.11546 L s .97279 1.11546 m .97279 .02721 L s P p P MathSubEnd P % End of sub-graphic % Start of sub-graphic p .52268 .02381 .97619 .47732 MathSubStart %% Graphics3D /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.952381 -0.149031 0.952381 [ [ 0 0 0 0 ] [ 1 .65432 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 0 m 1 0 L 1 .65432 L 0 .65432 L closepath clip newpath p .002 w .23026 .15532 m .23026 .499 L s .23026 .499 m .76974 .499 L s .76974 .499 m .76974 .15532 L s .76974 .15532 m .23026 .15532 L s .02381 .02381 m .97619 .02381 L s .97619 .02381 m .97619 .63051 L s .97619 .63051 m .02381 .63051 L s .02381 .63051 m .02381 .02381 L s .23026 .15532 m .23026 .499 L s .23026 .499 m .02381 .63051 L s .02381 .63051 m .02381 .02381 L s .02381 .02381 m .23026 .15532 L s .76974 .15532 m .97619 .02381 L s .97619 .02381 m .97619 .63051 L s .97619 .63051 m .76974 .499 L s .76974 .499 m .76974 .15532 L s P p .3 g .004 w .34797 .34103 m .3663 .26336 L s P p 1 0 1 r .03 w .34797 .34103 Mdot P p .3 g .004 w .65387 .30937 m .6336 .38851 L s P p 1 0 1 r .03 w .65387 .30937 Mdot P p .3 g .004 w .53986 .42468 m .6336 .38851 L s P p 1 0 1 r .03 w .53986 .42468 Mdot P p .3 g .004 w .45868 .22541 m .3663 .26336 L s P p 1 0 1 r .03 w .45868 .22541 Mdot P p .3 g .004 w .6425 .35198 m .6336 .38851 L s P p .3 g .004 w .712 .46949 m .6336 .38851 L s P p 0 0 1 r .03 w .6336 .38851 Mdot P p .3 g .004 w .36009 .30345 m .3663 .26336 L s P p .3 g .004 w .28767 .18257 m .3663 .26336 L s P p 0 0 1 r .03 w .3663 .26336 Mdot P p .3 g .004 w .28767 .18257 m .17819 .1203 L s P p 1 0 1 r .03 w .28767 .18257 Mdot P p .3 g .004 w .712 .46949 m .82092 .53242 L s P p 1 0 1 r .03 w .712 .46949 Mdot P p 0 0 1 r .03 w .82092 .53242 Mdot P p 0 0 1 r .03 w .82092 .53242 Mdot P p .3 g .004 w .19572 .45016 m .1759 .53158 L s P p 0 0 1 r .03 w .1759 .53158 Mdot P p .3 g .004 w .80197 .20205 m .82454 .12349 L s P p 0 0 1 r .03 w .82454 .12349 Mdot P p 0 0 1 r .03 w .17819 .1203 Mdot P p .3 g .004 w .36009 .30345 m .2935 .40463 L s P p 1 0 1 r .03 w .36009 .30345 Mdot P p .3 g .004 w .6425 .35198 m .70724 .24965 L s P p 1 0 1 r .03 w .6425 .35198 Mdot P p .3 g .004 w .19572 .45016 m .2935 .40463 L s P p 1 0 1 r .03 w .19572 .45016 Mdot P p .3 g .004 w .80197 .20205 m .70724 .24965 L s P p 1 0 1 r .03 w .80197 .20205 Mdot P p .3 g .004 w .38793 .51552 m .2935 .40463 L s P p 0 0 1 r .03 w .2935 .40463 Mdot P p .3 g .004 w .61531 .13624 m .70724 .24965 L s P p 0 0 1 r .03 w .70724 .24965 Mdot P p .3 g .004 w .38793 .51552 m .49535 .61089 L s P p 1 0 1 r .03 w .38793 .51552 Mdot P p .3 g .004 w .61531 .13624 m .5042 .04525 L s P p 1 0 1 r .03 w .61531 .13624 Mdot P p 0 0 1 r .03 w .5042 .04525 Mdot P p .002 w .02381 .02381 m .97619 .02381 L s .97619 .02381 m .97619 .63051 L s .97619 .63051 m .02381 .63051 L s .02381 .63051 m .02381 .02381 L s P p P MathSubEnd P % End of sub-graphic P P % End of Graphics MathPictureEnd\ \>"], "Graphics", ImageSize->{282, 282}, ImageMargins->{{34, Inherited}, {Inherited, Inherited}}, ImageRegion->{{0, 1}, {0, 1}}, AnimationDisplayTime->1, AnimationCycleOffset->-0.0625, AnimationCycleRepetitions->Infinity, ImageCacheValid->False]}, Open]]}, Open]]}, Open]] }, FrontEndVersion->"4.1 for Microsoft Windows", ScreenRectangle->{{0, 1024}, {0, 695}}, WindowToolbars->{}, CellGrouping->Manual, WindowSize->{499, 599}, WindowMargins->{{238, Automatic}, {23, Automatic}}, PrivateNotebookOptions->{"ColorPalette"->{RGBColor, -1}}, ShowCellLabel->True, ShowCellTags->False, RenderingOptions->{"ObjectDithering"->True, "RasterDithering"->False} ] (******************************************************************* Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. *******************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[1727, 52, 91, 1, 70, "Title"], Cell[1821, 55, 78, 1, 70, "Subtitle"], Cell[1902, 58, 614, 11, 70, "Subsubtitle"], Cell[CellGroupData[{ Cell[2539, 71, 154, 4, 70, "Subsection"], Cell[2696, 77, 979, 20, 70, "Text"], Cell[CellGroupData[{ Cell[3698, 99, 13063, 1385, 70, 12822, 1378, "GraphicsData", "PostScript", \ "Graphics"], Cell[16764, 1486, 13278, 1413, 70, 13036, 1406, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]] }, Open ]] }, Open ]] } ] *) (******************************************************************* End of Mathematica Notebook file. *******************************************************************)