# ************************************************ 
#     This table  has been made by using ../../Data/BaseM/Si 
#     with Bremsstrahlung formula: # 1
#     and  Pair creation  formula: # 1.
#     Tue Apr 20 21:06:27 GMT+0900 1999 by KASAHARA Katsuaki using
#     version epics.uv5.00  
# 
#name   Format    Silicon
Si 	1
#
#  Elem	 rho(g/cm^3)	Gas/Solid(1/0)  refl.index   Birks C

1         2.33		0                0          0 0 0
# 	Z	A  	N
	14	28.09	1
 Excitation (Ionization) potential = 172.25 eV
 radation length=  9.36664747226158 cm  21.8242886103695 g/cm^2
 <Aeff>=  28.0900000000000 <Zeff=>  14.0000000000000 <Z2/A>=   6.97757208971164
 plasma energy=  3.105273121888584E-008 GeV no density=  4.995221969028124E+022 /cm^3
 <Z2eff=>  196.000000000000 <Z/A>=  .498398006407974
Migdal s1=  1.734535439566340E-004
 Conversion factors:
 g/cm^2 to cm=  .429184549356223
 mb to /(g/cm2)=  2.143872089711641E-005 mb to /cm=  4.995221969028124E-005 mb to /X0=  4.678848322958280E-004
 If a comound is specified as an Atom, use the
 following instead:   2.143872089711641E-005  4.995221969028124E-005  4.678848322958280E-004
 pi x Re**2 * N* Z /A *X0g  = 0.15 Z/A*X0g=  1.63410757126196
 media.A, Z, Z^2=  28.0900000000000  14.0000000000000  196.000000000000

 **** Sternheimers consts
 a, b, c =  7.655393742038160E-002  16.6617025781763 -4.42767017159518
 x0, x1 =  .200000002980232  3.00000000000000
 sa, xa =  .159733517663353  .961283157388893
 minimum dEdx_restricted=  1.398556207083100E-003 GeV/(g/cm^2)  with Tcut=  1.000000000000000E-004 GeV

 **** photoelectric consts
b0, b1, b2=  .692285812165045  1.65776991847353  1.60225109783200
fa, a, p=  1.08294116692874  5.083539999551520E-004  7.117009338493513E-004
l, ek=  7.56250000000000  2.665600000000000E-006

#-#-#-#-#-#-#-#-#-#-#-#-
 constant for Seltzer Brems sampling table 
  7.110000000000000E-004  1.000000000000000E-005 -3.14813039927023  .100000000000000  .100000000000000  1.00000000000000  21  4.736842105263160E-002  .107406519963512  .107406519963512  .000000000000000  .562341325190349  2.811706625951750E-002  21  20  21

Si      
Seltzer Brems total X-sec. table upto E=  .100000000000000 GeV
  7.110000E-04  4.03548
  9.104920E-04  3.77599
  1.165957E-03  3.93818
  1.493101E-03  4.28611
  1.912034E-03  4.72857
  2.448512E-03  5.22425
  3.135514E-03  5.74857
  4.015274E-03  6.27247
  5.141878E-03  6.78238
  6.584583E-03  7.29481
  8.432082E-03  7.79014
  1.079795E-02  8.26046
  1.382763E-02  8.72441
  1.770738E-02  9.16428
  2.267571E-02  9.59214
  2.903805E-02  10.0098
  3.718552E-02  10.4145
  4.761902E-02  10.8077
  6.097994E-02  11.1934
  7.808965E-02  11.5737
  .100000  11.4729

Selzter Brems sampling table; log(v/vmin)/(1-u)
    2.60317    2.50953    2.43593    2.37587    2.32549    2.28240    2.24511
    2.21230    2.18330    2.15746    2.13409    2.11298    2.09396    2.07656
    2.06074    2.04622    2.03291    2.02068    2.00938    1.99878

    3.09868    2.98361    2.89582    2.82565    2.76794    2.71942    2.67789
    2.64176    2.61035    2.58243    2.55748    2.53510    2.51499    2.49684
    2.48046    2.46554    2.45204    2.43962    2.42837    2.41794

    3.47131    3.34603    3.25199    3.17759    3.11710    3.06624    3.02343
    2.98607    2.95319    2.92421    2.89857    2.87586    2.85565    2.83761
    2.82145    2.80684    2.79377    2.78185    2.77111    2.76141

    3.80690    3.67553    3.57776    3.50126    3.43903    3.38783    3.34374
    3.30546    3.27222    3.24328    3.21800    3.19585    3.17631    3.15907
    3.14374    3.13008    3.11789    3.10706    3.09726    3.08844

    4.12492    3.98939    3.88934    3.81179    3.74977    3.69860    3.65525
    3.61807    3.58604    3.55830    3.53411    3.51303    3.49451    3.47823
    3.46386    3.45110    3.43983    3.42972    3.42067    3.41283

    4.43483    4.29735    4.19636    4.11848    4.05649    4.00512    3.96179
    3.92493    3.89343    3.86638    3.84306    3.82290    3.80538    3.79013
    3.77681    3.76511    3.75481    3.74587    3.73788    3.73075

    4.73776    4.59991    4.49878    4.42083    4.35850    4.30665    4.26309
    4.22628    4.19511    4.16856    4.14591    4.12650    4.10984    4.09544
    4.08298    4.07219    4.06281    4.05461    4.04740    4.04116

    5.03805    4.90181    4.80229    4.72558    4.66372    4.61213    4.56895
    4.53271    4.50221    4.47653    4.45481    4.43640    4.42069    4.40729
    4.39587    4.38602    4.37755    4.37028    4.36392    4.35835

    5.33542    5.20236    5.10594    5.03154    4.97092    4.92021    4.87780
    4.84242    4.81286    4.78816    4.76746    4.75010    4.73544    4.72305
    4.71259    4.70369    4.69607    4.68961    4.68407    4.67924

    5.62836    5.49604    5.39983    5.32517    5.26357    5.21189    5.16880
    5.13309    5.10352    5.07905    5.05872    5.04184    5.02780    5.01603
    5.00613    4.99785    4.99089    4.98487    4.97993    4.97561

    5.91892    5.78797    5.69250    5.61803    5.55573    5.50325    5.45966
    5.42376    5.39429    5.37015    5.35033    5.33403    5.32055    5.30942
    5.30018    5.29253    5.28612    5.28068    5.27612    5.27238

    6.20780    6.07866    5.98476    5.91121    5.84940    5.79691    5.75285
    5.71627    5.68621    5.66156    5.64138    5.62488    5.61136    5.60025
    5.59109    5.58356    5.57729    5.57209    5.56770    5.56419

    6.49356    6.36594    6.27294    6.19932    6.13680    6.08356    6.03905
    6.00244    5.97260    5.94844    5.92889    5.91308    5.90026    5.88987
    5.88139    5.87447    5.86883    5.86413    5.86032    5.85716

    6.77530    6.64880    6.55638    6.48241    6.41907    6.36524    6.32060
    6.28426    6.25502    6.23161    6.21290    6.19792    6.18596    6.17631
    6.16862    6.16236    6.15732    6.15315    6.14988    6.14706

    7.05410    6.92848    6.83642    6.76182    6.69757    6.64321    6.59853
    6.56261    6.53406    6.51148    6.49362    6.47955    6.46840    6.45955
    6.45257    6.44688    6.44242    6.43878    6.43592    6.43349

    7.32967    7.20459    7.11258    7.03713    6.97187    6.91697    6.87238
    6.83696    6.80918    6.78745    6.77054    6.75733    6.74699    6.73887
    6.73250    6.72752    6.72354    6.72030    6.71758    6.71571

    7.60198    7.47752    7.38566    7.30946    7.24341    7.18828    7.14406
    7.10938    7.08252    7.06179    7.04585    7.03355    7.02401    7.01666
    7.01089    7.00644    7.00288    7.00010    6.99791    6.99620

    7.87111    7.74719    7.65550    7.57874    7.51224    7.45732    7.41384
    7.38019    7.35447    7.33489    7.31997    7.30864    7.29997    7.29332
    7.28815    7.28426    7.28115    7.27883    7.27683    7.27542

    8.13765    8.01387    7.92219    7.84487    7.77828    7.72400    7.68163
    7.64930    7.62489    7.60657    7.59279    7.58242    7.57458    7.56865
    7.56413    7.56069    7.55798    7.55604    7.55435    7.55315

    8.40188    8.27826    8.18664    8.10901    8.04275    7.98952    7.94858
    7.91776    7.89483    7.87780    7.86516    7.85575    7.84874    7.84349
    7.83952    7.83658    7.83435    7.83257    7.83121    7.83018

    8.73151    8.63681    8.57638    8.53645    8.50944    8.49086    8.47791
    8.46882    8.46239    8.45780    8.45451    8.45217    8.45044    8.44919
    8.44831    8.44767    8.44706    8.44667    8.44634    7.78010


Seltzer Brems sampling tbl in B; log(v/vmin)
   11.23323   11.14372   11.23484   11.22856   11.21890   11.19687   11.16544
   11.09089   10.99356   10.83276   10.60089   10.29690    9.92988    9.51888
    9.08404    8.63910    8.19404    7.75472    7.32741    6.91735    6.52870

   24.39029   24.45398   24.37505   24.33757   24.22476   23.99612   23.59340
   22.96486   22.06436   20.92615   19.63050   18.27097   16.92668   15.64003
   14.43154   13.30815   12.27300   11.32656   10.46762    9.69002    8.98803

   41.07103   41.03978   41.02319   40.81251   40.27810   39.23587   37.58003
   35.31012   32.64616   29.81733   27.06239   24.49755   22.16068   20.05002
   18.16066   16.48016   14.99420   13.68200   12.52059   11.49159   10.57810

   58.27378   58.24362   58.11585   57.49934   55.96974   53.23320   49.37783
   44.88322   40.27230   35.92273   31.99585   28.51010   25.44847   22.77693
   20.45513   18.43842   16.68506   15.15548   13.81780   12.64298   11.60891

   74.76170   74.70958   74.40083   73.03325   69.79090   64.53186   58.03149
   51.31582   45.09541   39.60783   34.86256   30.79194   27.30836   24.32936
   21.77811   19.58707   17.69825   16.06169   14.63725   13.39199   12.29960

   88.90380   88.90055   88.24454   85.79461   80.30724   72.24782   63.26404
   54.76598   47.42760   41.24478   36.06280   31.72996   28.08999   25.01200
   22.39511   20.15908   18.23719   16.57506   15.12815   13.86323   12.75230

  102.68879  102.51266  101.53350   97.52547   89.01684   77.78311   66.45351
   56.52775   48.36592   41.73216   36.33313   31.91641   28.26259   25.20396
   22.61618   20.40873   18.50987   16.86376   15.42752   14.16883   13.06080

  115.24342  114.78413  113.33883  107.39411   95.13058   80.73012   67.57676
   56.74755   48.11577   41.28183   35.85277   31.49267   27.93452   24.98282
   22.49759   20.37768   18.55103   16.96035   15.56555   14.33618   13.24907

  127.50594  126.66496  124.56332  115.83541   99.19142   81.90073   67.43128
   56.02560   47.19173   40.34507   35.00149   30.77234   27.35825   24.54629
   22.18737   20.17965   18.44835   16.93619   15.60161   14.41628   13.36038

  139.85267  138.53715  135.46993  122.47509  101.59219   82.02353   66.54404
   54.78437   45.91106   39.17177   33.99566   29.94653   26.70472   24.04861
   21.82354   19.92867   18.29010   16.85408   15.58212   14.44886   13.43598

  151.87219  150.21162  145.40414  127.14731  102.25016   80.95930   64.90765
   53.06326   44.32888   37.80496   32.84882   29.00559   25.95245   23.46067
   21.37990   19.60672   18.07008   16.71927   15.51752   14.44228   13.47681

  163.33730  161.30824  153.90109  129.65593  101.36189   78.95734   62.70155
   51.01242   42.54630   36.30835   31.60840   27.98941   25.13499   22.81546
   20.88327   19.23596   17.80639   16.54475   15.41827   14.40463   13.49027

  174.63853  172.59003  161.09193  130.39842   99.32853   76.26157   60.12128
   48.77981   40.67515   34.76763   30.34629   26.96503   24.30876   22.16247
   20.37760   18.85682   17.53416   16.36353   15.31260   14.36202   13.49989

  185.18165  183.10478  166.22531  129.24155   96.25760   73.02395   57.27926
   46.41611   38.76384   33.22097   29.10051   25.96035   23.50744   21.53186
   19.89380   18.49716   17.27963   16.19795   15.22162   14.33266   13.52111

  195.35886  193.23424  169.55186  126.70904   92.54981   69.53710   54.33622
   44.04995   36.86338   31.70032   27.88190   24.98288   22.72890   20.92123
   19.42598   18.15100   17.03742   16.04323   15.13998   14.31165   13.54987

  205.19117  202.97896  171.03614  123.09314   88.43826   65.95100   51.42219
   41.72045   35.02131   30.23160   26.71008   24.04959   21.99021   20.34582
   18.98974   17.83292   16.81928   15.90998   15.07755   14.30744   13.59327

  214.58347  211.95803  170.80993  118.55578   83.95986   62.27053   48.50133
   39.43948   33.24460   28.83458   25.60315   23.16936   21.29014   19.80017
   18.58036   17.54421   16.63260   15.80676   15.04174   14.32562   13.65481

  223.58590  219.98108  168.93348  113.48808   79.27337   58.55349   45.65890
   37.26340   31.56016   27.51834   24.56962   22.35329   20.64786   19.30468
   18.21443   17.29432   16.48093   15.73507   15.03379   14.36768   13.73628

  232.32089  227.23914  165.53867  108.09397   74.59443   54.92556   42.93632
   35.20414   29.97494   26.28721   23.60213   21.59635   20.06483   18.86690
   17.89969   17.08429   16.35878   15.68692   15.04576   14.42815   13.83421

  240.85452  233.35104  161.00808  102.36677   70.01768   51.49416   40.38532
   33.28954   28.50524   25.14365   22.70994   20.90311   19.53549   18.47543
   17.62559   16.91046   16.26884   15.66650   15.08127   14.50751   13.94769

  239.25027  251.47840  155.84256   92.73031   61.97941   45.66917   36.10876
   30.03053   25.93096   23.03880   20.93628   19.38051   18.20803   17.31011
   16.59716   16.00161   15.47031   14.96612   14.46721   13.96688   13.46860


 constant for Brems sampling table at low energies
  62.2917623798749  1.000000000000000E-004  1.000000000000000E-002 -2.00000000000000  62.2917623798749  4.871244594262904E-002  .100000000000000  1.00000000000000  37  4.736842105263160E-002  .105400850507116  .105400850507116  .000000000000000  .562341325190349  2.811706625951750E-002  37  20  21

Si      
Brems total X-sec. table upto E=  62.2917623798749 GeV
  1.000000E-02  4.75026
  1.274679E-02  5.18463
  1.624807E-02  5.60835
  2.071107E-02  6.02498
  2.639997E-02  6.43759
  3.365149E-02  6.83693
  4.289484E-02  7.22984
  5.467716E-02  7.61709
  6.969583E-02  7.99918
  8.883981E-02  8.37706
  .113242  8.52977
  .144348  8.88498
  .183997  9.23663
  .234537  9.58515
  .298959  9.93091
  .381077  10.2743
  .485751  10.6155
  .619177  10.9550
  .789251  11.2929
  1.00604  11.6284
  1.28238  11.9667
  1.63462  12.3090
  2.08362  12.6452
  2.65595  12.9624
  3.38548  13.2461
  4.31540  13.4835
  5.50075  13.6637
  7.01169  13.7843
  8.93766  13.8437
  11.3926  13.8425
  14.5220  13.7888
  18.5109  13.6911
  23.5954  13.5489
  30.0766  13.3719
  38.3380  13.1635
  48.8686  12.9345
  62.2918  12.5462

Brems sampling table at low E for Small Eg
    4.01708    3.90807    3.82522    3.75926    3.70486    3.65876    3.61888
    3.58273    3.54916    3.51812    3.48967    3.46378    3.44027    3.41907
    3.39997    3.38272    3.36719    3.35324    3.34080    3.32935

    4.28473    4.17638    4.09405    4.02853    3.97458    3.92946    3.88962
    3.85329    3.81971    3.78867    3.76013    3.73412    3.71049    3.68916
    3.66995    3.65270    3.63725    3.62325    3.61081    3.59966

    4.54980    4.44169    4.35945    4.29392    4.23997    4.19455    4.15374
    4.11613    4.08126    4.04923    4.02002    3.99362    3.96998    3.94885
    3.92999    3.91328    3.89848    3.88518    3.87346    3.86312

    4.81360    4.70567    4.62344    4.55779    4.50386    4.45765    4.41555
    4.37653    4.34045    4.30756    4.27792    4.25147    4.22803    4.20731
    4.18913    4.17313    4.15909    4.14669    4.13584    4.12625

    5.07697    4.96929    4.88704    4.82122    4.76722    4.71990    4.67634
    4.63587    4.59869    4.56518    4.53532    4.50900    4.48603    4.46596
    4.44849    4.43333    4.42016    4.40858    4.39855    4.38994

    5.33679    5.22876    5.14615    5.07996    5.02545    4.97679    4.93160
    4.88977    4.85176    4.81791    4.78824    4.76242    4.74008    4.72087
    4.70437    4.69019    4.67791    4.66739    4.65829    4.65049

    5.59467    5.48638    5.40367    5.33742    5.28237    5.23251    5.18600
    5.14324    5.10490    5.07126    5.04211    5.01714    4.99579    4.97764
    4.96224    4.94910    4.93797    4.92837    4.92026    4.91330

    5.85133    5.74236    5.65915    5.59251    5.53670    5.48546    5.43781
    5.39450    5.35625    5.32316    5.29494    5.27108    5.25094    5.23405
    5.21979    5.20783    5.19774    5.18925    5.18191    5.17593

    6.10619    5.99644    5.91269    5.84583    5.78902    5.73658    5.68815
    5.64482    5.60716    5.57508    5.54815    5.52564    5.50689    5.49135
    5.47836    5.46762    5.45863    5.45116    5.44480    5.43953

    6.35853    6.24782    6.16352    6.09643    6.03855    5.98512    5.93640
    5.89354    5.85691    5.82618    5.80073    5.77973    5.76253    5.74834
    5.73668    5.72712    5.71920    5.71262    5.70726    5.70265

    6.64799    6.55273    6.48552    6.43697    6.40117    6.37433    6.35396
    6.33835    6.32628    6.31690    6.30958    6.30380    6.29923    6.29560
    6.29272    6.29045    6.28857    6.28713    6.28568    6.28485

    6.89792    6.80263    6.73605    6.68841    6.65361    6.62778    6.60836
    6.59364    6.58236    6.57368    6.56696    6.56176    6.55764    6.55444
    6.55194    6.54986    6.54833    6.54707    6.54580    6.54514

    7.14612    7.05081    6.98484    6.93810    6.90428    6.87941    6.86092
    6.84703    6.83650    6.82847    6.82233    6.81760    6.81393    6.81106
    6.80888    6.80706    6.80573    6.80459    6.80379    6.80305

    7.39275    7.29739    7.23205    7.18620    7.15335    7.12944    7.11183
    7.09872    7.08889    7.08149    7.07587    7.07158    7.06830    7.06578
    7.06384    7.06232    7.06109    7.06019    7.05938    7.05884

    7.63794    7.54256    7.47786    7.43291    7.40102    7.37804    7.36127
    7.34892    7.33976    7.33292    7.32779    7.32390    7.32096    7.31870
    7.31703    7.31564    7.31470    7.31391    7.31314    7.31275

    7.88184    7.78646    7.72244    7.67840    7.64746    7.62537    7.60943
    7.59780    7.58926    7.58295    7.57827    7.57476    7.57213    7.57017
    7.56863    7.56755    7.56660    7.56594    7.56552    7.56501

    8.12460    8.02926    7.96595    7.92283    7.89283    7.87164    7.85647
    7.84555    7.83760    7.83180    7.82752    7.82438    7.82201    7.82028
    7.81893    7.81791    7.81720    7.81657    7.81619    7.81582

    8.36634    8.27110    8.20854    8.16635    8.13730    8.11697    8.10259
    8.09231    8.08493    8.07959    8.07569    8.07285    8.07075    8.06919
    8.06803    8.06719    8.06655    8.06604    8.06563    8.06539

    8.60720    8.51215    8.45036    8.40912    8.38099    8.36152    8.34789
    8.33825    8.33139    8.32647    8.32294    8.32037    8.31851    8.31714
    8.31615    8.31535    8.31484    8.31439    8.31413    8.31387

    8.84742    8.75266    8.69175    8.65154    8.62441    8.60585    8.59303
    8.58410    8.57785    8.57349    8.57045    8.56838    8.56702    8.56622
    8.56589    8.56609    8.56704    8.56937    8.57749    8.59838

    9.08660    8.99204    8.93188    8.89248    8.86610    8.84816    8.83578
    8.82715    8.82105    8.81666    8.81344    8.81099    8.80903    8.80731
    8.80565    8.80369    8.80109    8.79623    8.73787    8.71990

    9.32476    9.23026    9.17063    9.13178    9.10584    9.08814    9.07579
    9.06692    9.06036    9.05522    9.05095    9.04703    9.04307    9.03862
    9.03299    9.02509    9.01238    8.97697    8.95021    8.95846

    9.56305    9.46891    9.41009    9.37211    9.34691    9.32979    9.31787
    9.30928    9.30280    9.29764    9.29315    9.28887    9.28437    9.27907
    9.27220    9.26237    9.24331    9.22800    9.27397    9.36561

    9.80292    9.71003    9.65293    9.61679    9.59347    9.57824    9.56824
    9.56171    9.55747    9.55482    9.55333    9.55263    9.55264    9.55332
    9.55478    9.55095    9.58043    9.64879    9.78433    9.99714

   10.04588    9.95572    9.90192    9.86940    9.84997    9.83898    9.83365
    9.83234    9.83414    9.83863    9.84570    9.85565    9.86929    9.88809
    9.91090    9.96361   10.07019   10.25426   10.52449   10.91106

   10.29329   10.20786   10.15957   10.13314   10.12045   10.11695   10.12009
   10.12850   10.14169   10.15970   10.18322   10.21370   10.25363   10.30444
   10.38448   10.52769   10.75532   11.07958   11.53435   12.16941

   10.54627   10.46806   10.42799   10.41075   10.40832   10.41638   10.43275
   10.45650   10.48767   10.52721   10.57697   10.64021   10.72220   10.83213
   11.00562   11.26977   11.63383   12.14409   12.84911   13.84105

   10.80505   10.73664   10.70761   10.70273   10.71423   10.73812   10.77267
   10.81752   10.87360   10.94298   11.02917   11.13790   11.27584   11.47424
   11.76542   12.16496   12.71494   13.46491   14.50683   16.01289

   11.06981   11.01384   10.99876   11.00955   11.03879   11.08290   11.14071
   11.21269   11.30082   11.40857   11.54170   11.70793   11.92594   12.23444
   12.65725   13.22794   13.99775   15.05099   16.54113   18.78747

   11.34053   11.29957   11.30132   11.33106   11.38175   11.45041   11.53655
   11.64158   11.76877   11.92341   12.11383   12.34723   12.66637   13.09802
   13.67405   14.44152   15.47520   16.90504   18.98305   22.29017

   11.61644   11.59275   11.61381   11.66533   11.74074   11.83772   11.95657
   12.09982   12.27217   12.48105   12.73778   13.05627   13.48705   14.05563
   14.80404   15.79679   17.14058   19.02944   21.86608   26.68409

   11.89667   11.89217   11.93461   12.01027   12.11315   12.24158   12.39682
   12.58259   12.80524   13.07452   13.40316   13.82721   14.37913   15.09718
   16.03616   17.28239   18.98389   21.42169   25.21854   32.17299

   12.18136   12.19797   12.26393   12.36613   12.49922   12.66230   12.85764
   13.09027   13.36841   13.70433   14.11614   14.64546   15.32687   16.20560
   17.35172   18.87812   20.98398   24.06361   29.04841   38.98488

   12.46956   12.50878   12.59991   12.73053   12.89597   13.09620   13.33454
   13.61745   13.95510   14.36110   14.86510   15.50541   16.32315   17.37246
   18.74095   20.57238   23.12781   26.94357   33.36746   47.42520

   12.76098   12.82418   12.94197   13.10269   13.30245   13.54205   13.82597
   14.16224   14.56304   15.04403   15.64280   16.40261   17.35758   18.58598
   20.19003   22.34901   25.39590   30.03936   38.16871   57.85015

   13.05455   13.14263   13.28808   13.48001   13.71532   13.99577   14.32699
   14.71861   15.18496   15.74548   16.44582   17.32023   18.42688   19.84170
   21.69322   24.20013   27.77751   33.33771   43.45003   70.73240

   13.35924   13.47282   13.64659   13.87065   14.14268   14.46535   14.84558
   15.29456   15.82698   16.47380   17.27502   18.27444   19.52865   21.13641
   23.24587   26.11919   30.26318   36.82446   49.20351   86.66883


Brems sampling tbl at low E for large Eg
   93.15272   92.38345   90.43512   81.31470   67.39464   54.27401   43.95817
   36.14759   30.25552   25.78887   22.36198   19.69673   17.58752   15.88871
   14.49226   13.32071   12.31805   11.44653   10.67774    9.99218    9.37355

  103.06113  102.25291   98.74538   85.62485   68.74711   54.30561   43.48661
   35.51340   29.62889   25.24139   21.91252   19.34039   17.31629   15.69620
   14.36946   13.25891   12.30933   11.48326   10.75309   10.09922    9.50695

  112.68821  111.72762  106.05176   88.37519   68.94457   53.57271   42.48273
   34.56281   28.81052   24.56940   21.37506   18.92595   17.00626   15.47502
   14.22535   13.18174   12.28917   11.51121   10.82200   10.20223    9.63792

  122.15992  121.18591  112.28062   89.77398   68.25760   52.30732   41.19400
   33.42131   27.86353   23.80978   20.77976   18.46449   16.65981   15.22476
   14.05743   13.08362   12.25124   11.52481   10.87881   10.29486    9.76037

  131.56594  130.62904  117.37187   90.00409   66.88737   50.67347   39.70194
   32.15514   26.84007   22.99599   20.13677   17.96524   16.27903   14.94376
   13.86211   12.96160   12.19272   11.51983   10.91962   10.37419    9.87127

  140.51246  139.48795  120.90951   89.05906   64.90844   48.78282   38.06218
   30.82646   25.79565   22.17859   19.50489   17.48259   15.91864   14.68373
   13.68755   12.86074   12.15592   11.53803   10.98351   10.47522   10.00238

  149.26670  147.76300  123.23912   87.26211   62.48269   46.62513   36.30912
   29.45477   24.73027   21.36189   18.88234   17.01222   15.56604   14.42588
   13.51054   12.75690   12.11996   11.56132   11.05553   10.58548   10.14145

  157.84569  156.02626  123.98103   84.89004   59.82857   44.33063   34.52556
   28.09575   23.68918   20.56690   18.27316   16.54678   15.22241   14.18296
   13.35359   12.67407   12.10025   11.59446   11.13305   10.69935   10.28454

  166.25894  163.51756  123.49409   81.94095   57.00491   42.04243   32.76225
   26.76698   22.68911   19.80055   17.68964   16.10865   14.90001   13.95952
   13.21479   12.60728   12.09594   11.64272   11.22455   10.82565   10.43786

  174.51213  170.42826  121.89926   78.58943   54.08625   39.83120   31.09180
   25.52860   21.75343   19.09284   17.15665   15.71497   14.62092   13.77529
   13.11232   12.57461   12.12312   11.71916   11.34103   10.97334   10.60967

  202.75661  189.52878  121.59415   73.17856   48.94138   35.96046   28.31630
   23.44622   20.15904   17.83290   16.13054   14.86331   13.90377   13.17075
   12.59995   12.14231   11.75855   11.41608   11.09139   10.76943   10.44402

  212.18074  194.33080  117.20481   69.14606   46.17091   34.04332   26.97614
   22.46735   19.42914   17.28334   15.72578   14.57215   13.71003   13.05971
   12.55956   12.16312   11.83036   11.52953   11.23734   10.93956   10.63140

  221.38492  197.79180  112.17728   65.15954   43.53265   32.29744   25.71811
   21.56331   18.76100   16.79109   15.36592   14.32530   13.55725   12.98640
   12.55393   12.21445   11.92904   11.66608   11.40281   11.12618   10.83214

  230.39897  199.72186  106.73957   61.28364   41.04441   30.61253   24.56508
   20.73627   18.15593   16.34944   15.05916   14.12491   13.44701   12.95112
   12.58198   12.29553   12.05406   11.82536   11.58728   11.32800   11.04539

  239.24994  200.12168  101.07176   57.56861   38.71634   29.07140   23.51912
   19.97711   17.60866   15.96271   14.80085   13.97133   13.37835   12.95231
   12.64327   12.40609   12.20399   12.00563   11.78912   11.54418   11.27030

  247.96190  198.99190   95.32982   54.04563   36.55326   27.67612   22.54332
   19.29680   17.12563   15.63497   14.59368   13.86296   13.34896   12.99014
   12.73662   12.54420   12.37781   12.20578   12.00775   11.77383   11.50579

  256.55591  196.14240   89.64568   50.73159   34.55389   26.38696   21.65653
   18.67470   16.70084   15.36247   14.43774   13.79817   13.36017   13.06290
   12.85941   12.70845   12.57362   12.42435   12.24094   12.01561   11.75096

  265.05031  191.95512   84.09142   47.63853   32.71391   25.20221   20.85794
   18.13096   16.34609   15.14503   14.32790   13.77520   13.40709   13.16707
   13.01042   12.89637   12.78954   12.65988   12.48808   12.26792   12.00453

  273.46097  186.43055   78.75094   44.76901   31.02670   24.11920   20.12732
   17.65467   16.04895   14.97870   14.26661   13.79404   13.48971   13.30177
   13.18699   13.10646   13.02402   12.91017   12.74717   12.53005   12.26554

  281.77566  179.75983   73.66029   42.11608   29.48263   23.13399   19.50072
   17.24473   15.80882   14.86310   14.24613   13.84767   13.60313   13.46344
   13.38648   13.33518   13.27392   13.17309   13.01597   12.79930   12.53178

  290.12654  172.13404   68.87930   39.68453   28.08101   22.24631   18.94007
   16.91145   15.62568   14.80206   14.27147   13.94129   13.75101   13.65389
   13.61163   13.58674   13.54335   13.45257   13.29842   13.07953   12.80716

  298.54922  164.12572   64.40810   37.46499   26.81439   21.49235   18.46284
   16.64370   15.51116   14.78764   14.33998   14.07136   13.93091   13.87317
   13.86183   13.86018   13.83116   13.74738   13.59385   13.37086   13.09160

  306.80529  155.54437   60.23487   35.42685   25.65816   20.78358   18.06427
   16.42864   15.43357   14.81148   14.43612   14.22556   14.12917   14.10682
   14.12427   14.14205   14.12529   14.04601   13.89059   13.66164   13.37465

  314.58006  146.77168   56.31196   33.53479   24.58772   20.14916   17.70151
   16.26372   15.38536   14.85746   14.54683   14.38629   14.32964   14.33947
   14.38059   14.41624   14.40902   14.33227   14.17381   13.93851   13.64331

  321.53062  137.61706   52.61556   31.75582   23.58218   19.58051   17.37047
   16.10563   15.34719   14.89832   14.64916   14.53441   14.51260   14.55126
   14.61459   14.66451   14.66568   14.59027   14.42857   14.18688   13.88391

  327.34633  128.46211   49.10993   30.06876   22.62588   18.99281   17.06814
   15.95276   15.29998   14.92593   14.72773   14.65417   14.66440   14.72765
   14.80916   14.87218   14.87959   14.80559   14.64084   14.39397   14.08447

  331.76019  119.30694   45.78316   28.45474   21.70688   18.45960   16.75417
   15.78331   15.23095   14.92091   14.77230   14.73161   14.77016   14.85413
   14.95066   15.02398   15.03757   14.96541   14.79949   14.54869   14.23490

  334.72206  110.15160   42.63526   26.91143   20.82295   17.94076   16.44711
   15.60733   15.13386   14.88315   14.77274   14.76324   14.82368   14.92522
   15.03566   15.11831   15.13749   15.06765   14.90139   14.64938   14.33304

  336.18891  101.56840   39.66624   25.43647   19.97185   17.43536   16.10862
   15.39383   15.00268   14.80127   14.72911   14.74391   14.82375   14.93911
   15.05997   15.15088   15.17554   15.10962   14.94494   14.69355   14.37719

  336.18161   93.17588   36.87610   24.02987   19.15210   16.90360   15.77638
   15.16316   14.83722   14.67896   14.63628   14.67355   14.76786   14.89393
   15.02430   15.12220   15.15254   15.09124   14.93062   14.68180   14.36784

  334.89265   85.35554   34.25292   22.69868   18.36743   16.42542   15.43207
   14.91570   14.64376   14.52396   14.50437   14.55736   14.66339   14.79876
   14.93539   15.03956   15.07627   15.02035   14.86522   14.62146   14.31172

  332.53264   77.91667   31.82054   21.44999   17.62380   15.92485   15.07697
   14.64189   14.42276   14.33655   14.33610   14.40416   14.51910   14.66088
   14.80286   14.91244   14.95491   14.90581   14.75750   14.52030   14.21674

  329.08761   71.05001   29.54319   20.27671   16.91300   15.43775   14.72837
   14.35106   14.17969   14.11636   14.13374   14.21205   14.33240   14.47936
   14.62536   14.73931   14.78776   14.74605   14.60595   14.37736   14.08154

  324.79559   64.75558   27.44471   19.18356   16.23876   14.96564   14.34911
   14.05396   13.91482   13.87117   13.90493   13.98973   14.11447   14.26417
   14.41242   14.53068   14.58467   14.55092   14.42012   14.20129   13.91457

  319.73968   58.84263   25.48933   18.16346   15.59810   14.50729   13.99545
   13.73990   13.62793   13.60846   13.64957   13.73890   13.86774   14.01805
   14.16821   14.28868   14.34863   14.32312   14.20278   13.99481   13.71884

  314.18242   53.69266   23.71281   17.22348   14.99549   14.06454   13.63039
   13.41970   13.33747   13.32836   13.37782   13.47345   13.60207   13.75183
   13.90290   14.02593   14.09154   14.07446   13.96474   13.76829   13.50379

   12.45962   12.49316   12.45804   12.46281   12.46773   12.48066   12.50670
   12.53617   12.58994   12.66426   12.76377   12.89281   13.04575   13.21526
   13.38682   13.53542   13.63231   13.65127   13.57959   13.42016   13.18845


 constant for Brems sampling table at high energies
  6.229176237987490E-004  62.2917623798749  1.79443061825618  50  5.000000000000000E-002  .100000000000000  4948010.56490705  5.000000000000000E-002  .200000000000000  1.00000000000000  17  .000000000000000  .668740304976422  16  15  4.458268699842813E-002  50  7.500000000000000E-002  294734.257929672  4.00000000000000

Si      
Brems total X-sec. table with C.S+LPM upto E=  4948010.56490706 GeV
  62.2918  12.2681
  78.4207  11.9632
  98.7258  11.7655
  124.288  11.5476
  156.470  11.3119
  196.984  11.0620
  247.988  10.8041
  312.198  10.5341
  393.034  10.2567
  494.801  9.97182
  622.918  9.68468
  784.207  9.39275
  987.258  9.09789
  1242.88  8.80169
  1564.70  8.50300
  1969.84  8.20264
  2479.88  7.90121
  3121.98  7.60265
  3930.34  7.30175
  4948.01  7.00139
  6229.18  6.70422
  7842.07  6.40693
  9872.58  6.11167
  12428.8  5.82032
  15647.0  5.53115
  19698.4  5.24574
  24798.8  4.96577
  31219.8  4.69015
  39303.4  4.42097
  49480.1  4.15772
  62291.8  3.90207
  78420.7  3.65364
  98725.8  3.41395
  124288.  3.18285
  156470.  2.96067
  196984.  2.74835
  247988.  2.54574
  312198.  2.35308
  393034.  2.17041
  494801.  1.99815
  622918.  1.83598
  784207.  1.68380
  987258.  1.54146
  1.242884E+06  1.40871
  1.564698E+06  1.28529
  1.969839E+06  1.17080
  2.479880E+06  1.06507
  3.121983E+06  .967570
  3.930344E+06  .877868
  4.948010E+06  .795528

Brems with LPM sampling tbl for small Eg
     .37239     .30895     .25907     .21913     .18680     .16049     .13896
     .12185     .10811     .09695     .08784     .08026     .07387     .06838
     .06357     .05921     .05486

     .37943     .31572     .26557     .22536     .19276     .16619     .14448
     .12719     .11326     .10195     .09263     .08483     .07822     .07252
     .06750     .06290     .05821

     .38559     .32193     .27174     .23141     .19867     .17189     .15012
     .13271     .11864     .10714     .09761     .08961     .08279     .07688
     .07164     .06680     .06172

     .39202     .32843     .27821     .23779     .20491     .17795     .15614
     .13861     .12438     .11267     .10293     .09471     .08767     .08154
     .07607     .07097     .06546

     .39876     .33526     .28502     .24452     .21151     .18433     .16250
     .14486     .13045     .11854     .10858     .10013     .09287     .08650
     .08079     .07541     .06943

     .40580     .34241     .29218     .25161     .21849     .19130     .16922
     .15145     .13686     .12475     .11456     .10588     .09838     .09177
     .08581     .08014     .07364

     .41296     .34971     .29950     .25888     .22561     .19833     .17644
     .15852     .14373     .13139     .12096     .11203     .10428     .09741
     .09118     .08521     .07813

     .42050     .35741     .30725     .26660     .23318     .20607     .18393
     .16587     .15090     .13834     .12767     .11850     .11049     .10336
     .09686     .09057     .08286

     .42819     .36528     .31519     .27454     .24101     .21392     .19191
     .17370     .15853     .14573     .13481     .12538     .11710     .10971
     .10291     .09629     .08788

     .43620     .37351     .32352     .28289     .24950     .22223     .20020
     .18186     .16649     .15347     .14230     .13260     .12406     .11639
     .10931     .10234     .09316

     .44446     .38202     .33216     .29155     .25823     .23119     .20888
     .19041     .17485     .16160     .15018     .14022     .13141     .12346
     .11607     .10874     .09873

     .45296     .39080     .34109     .30047     .26737     .24037     .21797
     .19938     .18362     .17014     .15848     .14825     .13916     .13092
     .12323     .11553     .10461

     .46169     .39984     .35032     .30972     .27692     .24996     .22767
     .20878     .19283     .17912     .16720     .15670     .14733     .13880
     .13079     .12270     .11080

     .47065     .40915     .35986     .31951     .28688     .25997     .23748
     .21861     .20247     .18853     .17636     .16559     .15594     .14711
     .13877     .13028     .11732

     .47986     .41874     .36960     .32961     .29716     .27030     .24790
     .22888     .21256     .19839     .18596     .17493     .16499     .15585
     .14718     .13828     .12416

     .48934     .42865     .37972     .34022     .30797     .28127     .25871
     .23956     .22306     .20867     .19600     .18469     .17446     .16502
     .15601     .14670     .13134

     .49906     .43884     .39028     .35118     .31917     .29251     .26998
     .25071     .23402     .21942     .20650     .19493     .18441     .17466
     .16531     .15557     .13887

     .50905     .44933     .40129     .36263     .33085     .30426     .28169
     .26230     .24544     .23063     .21747     .20563     .19483     .18477
     .17507     .16488     .14676

     .51934     .46007     .41260     .37439     .34285     .31635     .29377
     .27428     .25727     .24226     .22886     .21677     .20569     .19532
     .18527     .17464     .15499

     .52981     .47094     .42459     .38678     .35545     .32903     .30642
     .28683     .26965     .25444     .24081     .22845     .21709     .20641
     .19600     .18491     .16362

     .54068     .48276     .43671     .39935     .36828     .34196     .31935
     .29968     .28238     .26698     .25313     .24053     .22890     .21792
     .20716     .19561     .17258

     .55162     .49445     .44950     .41255     .38169     .35547     .33285
     .31310     .29566     .28008     .26601     .25317     .24125     .22997
     .21886     .20683     .18195

     .56293     .50711     .46241     .42594     .39534     .36924     .34665
     .32684     .30928     .29354     .27928     .26620     .25403     .24244
     .23098     .21848     .19165

     .57447     .51962     .47599     .43992     .40956     .38357     .36098
     .34112     .32344     .30754     .29309     .27978     .26735     .25547
     .24365     .23067     .20177

     .58689     .53306     .48966     .45410     .42400     .39814     .37560
     .35570     .33793     .32190     .30726     .29375     .28107     .26891
     .25674     .24329     .21232

     .59922     .54636     .50402     .46882     .43897     .41324     .39073
     .37080     .35294     .33677     .32197     .30825     .29533     .28289
     .27038     .25644     .22431

     .61231     .56050     .51841     .48373     .45415     .42857     .40612
     .38618     .36826     .35198     .33703     .32312     .30998     .29726
     .28442     .27001     .23673

     .62546     .57462     .53357     .49924     .46960     .44419     .42183
     .40190     .38393     .36755     .35247     .33839     .32503     .31206
     .29890     .28402     .24958

     .63874     .58926     .54850     .51465     .48564     .46038     .43808
     .41815     .40013     .38366     .36844     .35419     .34064     .32741
     .31392     .29857     .26296

     .65280     .60398     .56422     .53075     .50172     .47664     .45444
     .43454     .41651     .39998     .38465     .37026     .35652     .34306
     .32927     .31346     .27670

     .66664     .61914     .57971     .54671     .51829     .49338     .47127
     .45141     .43335     .41676     .40134     .38681     .37289     .35921
     .34511     .32885     .29094

     .68110     .63434     .59588     .56328     .53487     .51017     .48819
     .46838     .45034     .43371     .41821     .40357     .38950     .37561
     .36124     .34453     .30551

     .69536     .64990     .61181     .57969     .55186     .52736     .50549
     .48575     .46772     .45106     .43550     .42075     .40653     .39245
     .37780     .36065     .32054

     .71004     .66537     .62823     .59653     .56899     .54468     .52295
     .50328     .48528     .46861     .45300     .43817     .42383     .40956
     .39465     .37708     .33591

     .72462     .68125     .64476     .61332     .58612     .56207     .54048
     .52091     .50296     .48630     .47066     .45576     .44131     .42689
     .41174     .39377     .35158

     .73944     .69691     .66116     .63039     .60350     .57965     .55823
     .53875     .52086     .50422     .48857     .47362     .45907     .44450
     .42912     .41075     .36760

     .75409     .71291     .67784     .64753     .62080     .59720     .57596
     .55661     .53879     .52219     .50654     .49156     .47693     .46224
     .44666     .42791     .38385

     .76890     .72879     .69427     .66448     .63827     .61492     .59384
     .57462     .55688     .54033     .52469     .50968     .49500     .48019
     .46442     .44531     .40039

     .78365     .74455     .71096     .68166     .65579     .63268     .61161
     .59253     .57489     .55840     .54280     .52779     .51307     .49817
     .48222     .46277     .41707

     .79810     .76032     .72745     .69849     .67300     .65016     .62949
     .61054     .59301     .57659     .56102     .54603     .53127     .51629
     .50018     .48041     .43400

     .81256     .77579     .74373     .71546     .69033     .66775     .64727
     .62847     .61105     .59472     .57920     .56423     .54946     .53441
     .51817     .49809     .45104

     .82683     .79135     .76008     .73234     .70757     .68528     .66482
     .64620     .62891     .61267     .59722     .58228     .56752     .55243
     .53606     .51570     .46811

     .84074     .80663     .77614     .74877     .72441     .70240     .68235
     .66389     .64674     .63060     .61523     .60033     .58558     .57046
     .55398     .53335     .48530

     .85451     .82165     .79186     .76522     .74125     .71952     .69968
     .68139     .66437     .64834     .63305     .61822     .60349     .58835
     .57178     .55091     .50250

     .86797     .83629     .80749     .78142     .75783     .73638     .71676
     .69865     .68177     .66586     .65067     .63590     .62120     .60606
     .58942     .56833     .51964

     .88102     .85080     .82286     .79736     .77417     .75303     .73347
     .71556     .69884     .68306     .66796     .65327     .63863     .62349
     .60680     .58551     .53667

     .89381     .86490     .83782     .81289     .78999     .76916     .75001
     .73229     .71571     .70005     .68507     .67046     .65587     .64076
     .62402     .60256     .55364

     .90621     .87862     .85230     .82800     .80566     .78513     .76621
     .74866     .73224     .71672     .70184     .68732     .67281     .65772
     .64095     .61933     .57045

     .91820     .89185     .86657     .84287     .82094     .80072     .78203
     .76466     .74840     .73301     .71824     .70383     .68938     .67433
     .65755     .63579     .58707

     .92967     .90480     .88042     .85733     .83581     .81589     .79743
     .78025     .76415     .74889     .73425     .71993     .70557     .69058
     .67379     .65192     .60344


Brems with LPM smp tbl; (sqrt(v)-sqrt(vmin)/(1-u)
   12.05105   12.05502   12.05501   12.05204   12.09311   12.17032   12.28703
   12.47023   12.71176   12.97228   13.16587   13.19239   13.00454   12.64023
   12.18008   11.69886

   11.92611   11.93433   11.92859   11.93142   11.97889   12.04177   12.15730
   12.33733   12.57420   12.83213   13.02616   13.05767   12.87861   12.52343
   12.07115   11.59589

   11.78548   11.78347   11.78896   11.80820   11.83342   11.90044   12.01220
   12.18767   12.42072   12.67408   12.86878   12.90595   12.73635   12.39159
   11.94828   11.47976

   11.63259   11.63260   11.63611   11.63453   11.67201   11.74002   11.85485
   12.02466   12.25230   12.50279   12.69776   12.74068   12.58138   12.24781
   11.81420   11.35319

   11.46784   11.48173   11.47006   11.45827   11.50978   11.57300   11.68204
   11.84997   12.07200   12.31820   12.51308   12.56255   12.41385   12.09233
   11.66934   11.21642

   11.29250   11.30069   11.29456   11.32796   11.33170   11.39323   11.50006
   11.66362   11.87983   12.12168   12.31614   12.37223   12.23498   11.92628
   11.51464   11.07044

   11.11305   11.11964   11.11530   11.14909   11.15347   11.21342   11.31503
   11.47230   11.68386   11.92094   12.11524   12.17707   12.05138   11.75570
   11.35575   10.92065

   10.92279   10.90841   10.92471   10.92018   10.95941   11.02088   11.11777
   11.27109   11.47606   11.70768   11.90129   11.96956   11.85590   11.57411
   11.18667   10.76131

   10.72948   10.72736   10.73223   10.73871   10.76519   10.82202   10.91752
   11.06665   11.26549   11.49155   11.68432   11.75856   11.65668   11.38884
   11.01414   10.59883

   10.52859   10.51613   10.53032   10.55539   10.57039   10.61669   10.71113
   10.85224   11.04615   11.26749   11.45873   11.53863   11.44887   11.19545
   10.83407   10.42933

   10.32329   10.33508   10.32464   10.32352   10.36026   10.41138   10.49868
   10.63634   10.82202   11.03801   11.22802   11.31318   11.23561   10.99683
   10.64920   10.25547

   10.11450   10.12385   10.11707   10.13909   10.14996   10.19977   10.28326
   10.41556   10.59518   10.80507   10.99304   11.08377   11.01787   10.79396
   10.46029   10.07794

    9.90292    9.91262    9.90573    9.90612    9.93951    9.98187   10.06487
   10.19161   10.36562   10.56934   10.75515   10.85071   10.79635   10.58728
   10.26790    9.89725

    9.68901    9.70139    9.69062    9.72022    9.71360    9.76394    9.84348
    9.96613   10.13331   10.33081   10.51434   10.61434   10.57156   10.37727
   10.07240    9.71369

    9.47311    9.45998    9.47551    9.48652    9.50297    9.54604    9.62217
    9.73745    9.89928   10.09078   10.27150   10.37559   10.34370   10.16427
    9.87398    9.52758

    9.25458    9.24875    9.25663    9.25209    9.27693    9.32188    9.39485
    9.50732    9.66254    9.84798   10.02579   10.13328   10.11194    9.94743
    9.67209    9.33824

    9.03503    9.03752    9.03587    9.06510    9.06593    9.10392    9.17059
    9.27727    9.42501    9.60428    9.77890    9.88921    9.87853    9.72848
    9.46810    9.14706

    8.81437    8.82629    8.81511    8.83032    8.83984    8.87982    8.94345
    9.04577    9.18681    9.35974    9.53087    9.64374    9.64280    9.50713
    9.26182    8.95378

    8.59163    8.58489    8.59246    8.59518    8.61365    8.64947    8.71336
    8.81113    8.94693    9.11311    9.28045    9.39540    9.40372    9.28247
    9.05229    8.75763

    8.37024    8.37366    8.37170    8.36042    8.38761    8.42547    8.48641
    8.57830    8.70928    8.86875    9.03140    9.14833    9.16540    9.05787
    8.84273    8.56146

    8.14596    8.13225    8.14717    8.17271    8.16130    8.20142    8.25646
    8.34396    8.46791    8.62103    8.77957    8.89752    8.92293    8.82900
    8.62911    8.36155

    7.92337    7.92102    7.92453    7.93761    7.95037    7.97744    8.02662
    8.11146    8.22880    8.37560    8.52956    8.64801    8.68126    8.60062
    8.41566    8.16385

    7.69862    7.70979    7.70001    7.70214    7.72417    7.74727    7.79691
    7.87582    7.98801    8.12809    8.27763    8.39630    8.43656    8.36863
    8.19864    7.96305

    7.47571    7.46838    7.47738    7.46706    7.49812    7.52344    7.56729
    7.64367    7.74945    7.88347    8.02791    8.14616    8.19287    8.13718
    7.98194    7.76210

    7.25130    7.25715    7.25286    7.27938    7.27192    7.29336    7.33777
    7.41002    7.51017    7.63739    7.77625    7.89383    7.94665    7.90285
    7.76218    7.54994

    7.02879    7.01575    7.03023    7.04432    7.04593    7.06965    7.11140
    7.17818    7.27212    7.39358    7.52769    7.64400    7.70167    7.66925
    7.54713    7.34346

    6.80547    6.80452    6.80572    6.80890    6.81984    6.84594    6.88206
    6.94486    7.03437    7.14955    7.27802    7.39286    7.45503    7.43327
    7.32641    7.12865

    6.58250    6.59329    6.58310    6.57386    6.59389    6.61609    6.65591
    6.71337    6.79785    6.90653    7.02932    7.14185    7.20821    7.19633
    7.10329    6.91718

    6.36265    6.35189    6.36425    6.38734    6.38333    6.39259    6.42985
    6.48536    6.56451    6.66699    6.78449    6.89477    6.96390    6.96243
    6.87439    6.70799

    6.14204    6.14066    6.14352    6.15270    6.15755    6.17538    6.20387
    6.25584    6.33046    6.42723    6.53940    6.64638    6.71839    6.72952
    6.64785    6.49110

    5.92452    5.92943    5.92468    5.91844    5.93193    5.95203    5.98408
    6.03143    6.10054    6.19154    6.29770    6.40188    6.47559    6.49444
    6.42307    6.28196

    5.70709    5.71820    5.70773    5.73232    5.72155    5.73497    5.76135
    5.80552    5.87089    5.95622    6.05697    6.15751    6.23243    6.25718
    6.19158    6.06787

    5.49292    5.50697    5.49266    5.49883    5.49622    5.51806    5.54480
    5.58472    5.64536    5.72495    5.82002    5.91698    5.99432    6.01698
    5.96744    5.86117

    5.28051    5.26557    5.28138    5.26610    5.28628    5.30127    5.32837
    5.36573    5.42104    5.49589    5.58564    5.67856    5.75915    5.78154
    5.74076    5.65264

    5.06993    5.08451    5.07009    5.08112    5.07634    5.09073    5.11201
    5.14851    5.19986    5.26961    5.35379    5.44251    5.52154    5.54784
    5.51938    5.44987

    4.86264    4.87329    4.86258    4.84915    4.86669    4.88036    4.90183
    4.93473    4.98279    5.04734    5.12608    5.21110    5.28718    5.31373
    5.29877    5.24773

    4.65773    4.66206    4.65885    4.66568    4.67240    4.67632    4.69476
    4.72437    4.76786    4.82783    4.90169    4.98402    5.05101    5.08607
    5.08402    5.05182

    4.45669    4.45083    4.45700    4.48259    4.46312    4.47240    4.49083
    4.51744    4.55799    4.61352    4.68179    4.75946    4.82318    4.86039
    4.87179    4.85756

    4.25852    4.26978    4.25893    4.25252    4.26926    4.27482    4.29001
    4.31391    4.35122    4.40194    4.46557    4.53773    4.59941    4.64167
    4.66600    4.66773

    4.06485    4.05855    4.06464    4.07093    4.07562    4.07738    4.09233
    4.11544    4.14948    4.19613    4.25624    4.32131    4.37830    4.42695
    4.46394    4.48534

    3.87510    3.87750    3.87600    3.89048    3.88237    3.88633    3.90080
    3.92200    3.95274    3.99544    4.05213    4.10962    4.16628    4.22071
    4.27001    4.30597

    3.68917    3.69645    3.68926    3.71040    3.68925    3.70159    3.71236
    3.73195    3.75906    3.79866    3.85038    3.90324    3.95730    4.01791
    4.07889    4.13185

    3.50833    3.51539    3.50817    3.53144    3.51162    3.51701    3.53007
    3.54692    3.57230    3.60757    3.65460    3.70122    3.75868    3.82536
    3.89540    3.96527

    3.33216    3.33434    3.33274    3.35361    3.33437    3.33883    3.35090
    3.36691    3.38955    3.42399    3.46394    3.50804    3.56473    3.63723
    3.72024    3.80285

    3.16085    3.15329    3.16109    3.17653    3.15737    3.16698    3.17784
    3.19190    3.21271    3.24423    3.27760    3.32000    3.37893    3.45709
    3.54970    3.64669

    2.99440    3.00242    2.99510    3.00058    2.99587    3.00150    3.01090
    3.02188    3.04082    3.06889    3.09879    3.14095    3.20193    3.28597
    3.38618    3.49747

    2.83359    2.82136    2.83289    2.82538    2.83461    2.84236    2.84705
    2.85848    2.87578    2.90037    2.92782    2.96773    3.03166    3.12100
    3.23044    3.35345

    2.67813    2.67049    2.67822    2.69939    2.67381    2.68343    2.68934
    2.70008    2.71662    2.73746    2.76147    2.80286    2.86968    2.96388
    3.08264    3.21578

    2.52815    2.51961    2.52921    2.52681    2.52852    2.53086    2.53774
    2.54828    2.56332    2.58072    2.60413    2.64677    2.71667    2.81479
    2.94062    3.08442

    2.38372    2.36874    2.38397    2.40270    2.38346    2.39082    2.39221
    2.40142    2.41490    2.42833    2.45255    2.49698    2.57005    2.67420
    2.80575    2.96032


 constant for Pair  sampling table at low energies
  1.100000000000000E-003 -2.95860731484178  8.000000000000000E-003  62.2917623798749  14613.7339055794  47  47  5.000000000000000E-002  1.00000000000000  21  4.750000000000000E-002  .103326911589086  .000000000000000  .472870804501588  21  2.364354022507940E-002  .103326911589086  4.739448500045540E-002

Si      
total pair x-sec. at low E
  1.100000E-03  4.279790E-05
  1.395467E-03  2.466110E-03
  1.770299E-03  1.052543E-02
  2.245812E-03  2.464047E-02
  2.849052E-03  4.415477E-02
  3.614325E-03  6.819778E-02
  4.585156E-03  9.595396E-02
  5.816759E-03  .126724
  7.379178E-03  .159922
  9.361273E-03  .195278
  1.187577E-02  .232068
  1.506568E-02  .269396
  1.911242E-02  .306951
  2.424614E-02  .344480
  3.075880E-02  .381742
  3.902082E-02  .418435
  4.950206E-02  .454175
  6.279863E-02  .488522
  7.966675E-02  .521060
  .101066  .551454
  .128213  .579481
  .162651  .605017
  .206341  .628025
  .261765  .648547
  .332077  .666683
  .421275  .682582
  .534432  .696422
  .677984  .708395
  .860095  .718694
  1.09112  .727509
  1.38420  .735019
  1.75601  .741390
  2.22769  .746774
  2.82606  .751307
  3.58515  .755112
  4.54815  .758295
  5.76981  .760952
  7.31962  .763164
  9.28571  .765001
  11.7799  .766523
  14.9441  .767781
  18.9582  .768819
  24.0504  .769674
  30.5105  .770378
  38.7059  .770957
  49.1025  .771432
  62.2918  .773462

Pair table (v-.5)/(1-u) at low E
     .03277     .03176     .03105     .03050     .03006     .02970     .02940
     .02912     .02891     .02870     .02853     .02838     .02826     .02815
     .02805     .02797     .02790     .02785     .02784     .02779     .02781

     .12362     .11976     .11706     .11500     .11332     .11193     .11076
     .10975     .10889     .10813     .10749     .10692     .10644     .10603
     .10567     .10539     .10517     .10497     .10484     .10480     .10477

     .19519     .18909     .18484     .18159     .17897     .17679     .17496
     .17338     .17204     .17086     .16986     .16899     .16823     .16759
     .16705     .16662     .16625     .16600     .16576     .16573     .16563

     .25163     .24384     .23846     .23434     .23103     .22830     .22601
     .22405     .22237     .22092     .21968     .21859     .21767     .21688
     .21623     .21568     .21525     .21494     .21466     .21453     .21449

     .29625     .28725     .28108     .27640     .27267     .26960     .26703
     .26487     .26301     .26141     .26005     .25887     .25788     .25702
     .25629     .25571     .25521     .25486     .25467     .25452     .25442

     .33160     .32183     .31521     .31024     .30630     .30311     .30044
     .29820     .29631     .29470     .29331     .29211     .29113     .29026
     .28956     .28895     .28849     .28814     .28792     .28772     .28770

     .35973     .34956     .34277     .33774     .33380     .33063     .32801
     .32582     .32400     .32245     .32114     .32002     .31908     .31830
     .31763     .31710     .31668     .31635     .31613     .31598     .31595

     .38224     .37199     .36526     .36033     .35654     .35351     .35105
     .34903     .34736     .34593     .34478     .34378     .34296     .34226
     .34171     .34126     .34088     .34059     .34043     .34033     .34028

     .40036     .39031     .38381     .37912     .37557     .37279     .37055
     .36874     .36728     .36607     .36507     .36424     .36357     .36302
     .36257     .36222     .36193     .36173     .36160     .36150     .36148

     .41465     .40508     .39915     .39499     .39191     .38960     .38779
     .38636     .38526     .38439     .38368     .38314     .38272     .38239
     .38214     .38196     .38180     .38172     .38164     .38168     .38160

     .42735     .41847     .41306     .40936     .40671     .40474     .40328
     .40219     .40135     .40074     .40031     .40000     .39977     .39963
     .39954     .39951     .39949     .39946     .39947     .39951     .39946

     .43775     .42959     .42474     .42151     .41925     .41768     .41656
     .41578     .41527     .41494     .41474     .41466     .41465     .41468
     .41477     .41484     .41494     .41501     .41507     .41511     .41514

     .44637     .43893     .43463     .43186     .43003     .42882     .42804
     .42757     .42734     .42727     .42735     .42748     .42769     .42791
     .42815     .42838     .42859     .42875     .42891     .42895     .42898

     .45355     .44683     .44308     .44076     .43932     .43848     .43804
     .43789     .43794     .43813     .43843     .43880     .43919     .43960
     .43999     .44036     .44068     .44096     .44112     .44131     .44130

     .45960     .45358     .45034     .44848     .44744     .44693     .44682
     .44696     .44728     .44774     .44829     .44888     .44947     .45006
     .45064     .45114     .45158     .45190     .45214     .45226     .45239

     .46474     .45942     .45670     .45526     .45460     .45444     .45466
     .45510     .45572     .45643     .45723     .45805     .45886     .45964
     .46036     .46102     .46159     .46202     .46231     .46259     .46262

     .46915     .46450     .46229     .46129     .46102     .46124     .46178
     .46255     .46345     .46448     .46553     .46660     .46765     .46864
     .46954     .47035     .47102     .47157     .47203     .47230     .47232

     .47300     .46902     .46733     .46679     .46693     .46754     .46843
     .46953     .47079     .47210     .47344     .47476     .47604     .47725
     .47835     .47934     .48016     .48084     .48132     .48152     .48170

     .47638     .47308     .47193     .47186     .47245     .47344     .47474
     .47620     .47778     .47940     .48104     .48264     .48417     .48561
     .48692     .48806     .48901     .48981     .49038     .49066     .49083

     .47938     .47677     .47620     .47662     .47765     .47907     .48074
     .48257     .48447     .48642     .48834     .49022     .49202     .49367
     .49518     .49649     .49759     .49847     .49912     .49948     .49967

     .48209     .48017     .48017     .48110     .48257     .48440     .48645
     .48862     .49088     .49312     .49534     .49750     .49952     .50140
     .50310     .50458     .50584     .50683     .50761     .50805     .50818

     .48453     .48332     .48387     .48530     .48722     .48944     .49184
     .49436     .49693     .49948     .50198     .50438     .50665     .50873
     .51063     .51230     .51368     .51482     .51558     .51610     .51627

     .48675     .48624     .48735     .48924     .49157     .49416     .49690
     .49974     .50263     .50546     .50821     .51086     .51336     .51565
     .51773     .51954     .52108     .52228     .52314     .52366     .52390

     .48878     .48894     .49056     .49288     .49560     .49854     .50163
     .50477     .50791     .51100     .51403     .51691     .51960     .52211
     .52433     .52632     .52795     .52928     .53025     .53077     .53102

     .49065     .49144     .49355     .49626     .49934     .50259     .50598
     .50941     .51281     .51614     .51939     .52248     .52538     .52806
     .53045     .53256     .53436     .53575     .53678     .53746     .53761

     .49234     .49372     .49627     .49936     .50275     .50631     .50995
     .51363     .51726     .52085     .52428     .52757     .53065     .53348
     .53603     .53829     .54015     .54165     .54274     .54342     .54363

     .49388     .49579     .49876     .50218     .50585     .50967     .51356
     .51747     .52132     .52508     .52872     .53219     .53543     .53841
     .54112     .54347     .54544     .54701     .54815     .54883     .54909

     .49530     .49768     .50099     .50472     .50866     .51272     .51681
     .52092     .52495     .52891     .53272     .53633     .53972     .54284
     .54564     .54812     .55019     .55183     .55302     .55370     .55400

     .49656     .49940     .50302     .50700     .51117     .51543     .51973
     .52399     .52822     .53231     .53627     .54003     .54356     .54680
     .54972     .55227     .55442     .55612     .55737     .55805     .55837

     .49770     .50092     .50482     .50903     .51341     .51785     .52231
     .52674     .53111     .53534     .53942     .54330     .54695     .55028
     .55331     .55594     .55817     .55990     .56120     .56204     .56225

     .49873     .50229     .50642     .51083     .51538     .51999     .52460
     .52914     .53365     .53801     .54221     .54619     .54992     .55337
     .55647     .55917     .56145     .56328     .56460     .56536     .56566

     .49964     .50348     .50784     .51243     .51712     .52185     .52658
     .53128     .53587     .54034     .54464     .54872     .55256     .55607
     .55923     .56202     .56435     .56620     .56758     .56834     .56865

     .50046     .50456     .50910     .51383     .51865     .52349     .52834
     .53312     .53781     .54237     .54676     .55093     .55483     .55841
     .56165     .56446     .56686     .56873     .57014     .57098     .57125

     .50117     .50549     .51018     .51503     .51997     .52492     .52986
     .53473     .53950     .54414     .54860     .55284     .55679     .56044
     .56374     .56660     .56901     .57093     .57236     .57328     .57350

     .50180     .50630     .51113     .51609     .52113     .52616     .53116
     .53613     .54096     .54567     .55018     .55449     .55850     .56220
     .56552     .56844     .57090     .57284     .57425     .57509     .57544

     .50236     .50703     .51196     .51701     .52212     .52724     .53230
     .53732     .54222     .54696     .55155     .55589     .55996     .56370
     .56706     .57002     .57250     .57448     .57589     .57673     .57709

     .50285     .50764     .51267     .51781     .52297     .52814     .53326
     .53834     .54329     .54809     .55271     .55710     .56119     .56497
     .56837     .57136     .57385     .57585     .57728     .57821     .57851

     .50327     .50817     .51329     .51849     .52371     .52893     .53411
     .53920     .54419     .54905     .55369     .55812     .56226     .56607
     .56949     .57248     .57504     .57705     .57851     .57935     .57971

     .50362     .50864     .51381     .51907     .52433     .52959     .53481
     .53995     .54496     .54985     .55454     .55899     .56316     .56698
     .57044     .57346     .57602     .57803     .57949     .58033     .58072

     .50394     .50902     .51427     .51956     .52487     .53016     .53540
     .54058     .54561     .55054     .55523     .55972     .56389     .56775
     .57123     .57427     .57683     .57885     .58039     .58131     .58158

     .50422     .50937     .51465     .51998     .52532     .53064     .53591
     .54111     .54619     .55110     .55585     .56033     .56455     .56840
     .57188     .57496     .57753     .57955     .58104     .58196     .58230

     .50445     .50965     .51498     .52033     .52569     .53103     .53633
     .54154     .54665     .55158     .55634     .56084     .56508     .56896
     .57245     .57551     .57810     .58015     .58169     .58261     .58290

     .50465     .50989     .51525     .52062     .52601     .53138     .53669
     .54192     .54703     .55199     .55676     .56128     .56550     .56940
     .57292     .57600     .57858     .58064     .58218     .58310     .58340

     .50482     .51010     .51547     .52087     .52628     .53166     .53699
     .54222     .54736     .55232     .55709     .56164     .56589     .56980
     .57332     .57639     .57899     .58107     .58259     .58343     .58382

     .50496     .51027     .51567     .52108     .52650     .53190     .53722
     .54249     .54763     .55262     .55738     .56193     .56620     .57010
     .57362     .57672     .57932     .58140     .58291     .58375     .58416

     .50508     .51043     .51583     .52125     .52669     .53210     .53743
     .54270     .54785     .55282     .55764     .56218     .56644     .57036
     .57389     .57698     .57960     .58167     .58315     .58408     .58445

     .50568     .51112     .51660     .52209     .52755     .53300     .53840
     .54369     .54887     .55391     .55874     .56331     .56761     .57155
     .57513     .57823     .58085     .58296     .58444     .58537     .58572


Pair table at low E; v
     .53545     .53545     .53544     .53542     .53540     .53535     .53529
     .53519     .53509     .53495     .53478     .53458     .53436     .53410
     .53380     .53346     .53309     .53266     .53220     .53169     .53113

     .53785     .53785     .53784     .53782     .53779     .53774     .53767
     .53757     .53746     .53731     .53713     .53692     .53668     .53640
     .53608     .53572     .53532     .53487     .53438     .53384     .53324

     .54497     .54496     .54495     .54493     .54489     .54483     .54475
     .54463     .54450     .54432     .54411     .54387     .54358     .54324
     .54286     .54244     .54196     .54143     .54084     .54019     .53949

     .55658     .55658     .55657     .55654     .55649     .55641     .55631
     .55617     .55599     .55577     .55551     .55519     .55483     .55441
     .55393     .55340     .55279     .55212     .55139     .55057     .54968

     .57235     .57235     .57233     .57229     .57223     .57213     .57200
     .57182     .57159     .57131     .57098     .57057     .57011     .56957
     .56896     .56827     .56751     .56665     .56570     .56465     .56351

     .59180     .59180     .59177     .59173     .59165     .59153     .59136
     .59112     .59083     .59048     .59005     .58954     .58895     .58828
     .58749     .58662     .58564     .58456     .58336     .58203     .58058

     .61438     .61437     .61434     .61429     .61418     .61403     .61382
     .61354     .61317     .61273     .61219     .61156     .61082     .60997
     .60901     .60792     .60670     .60534     .60384     .60219     .60038

     .63945     .63945     .63941     .63935     .63922     .63903     .63877
     .63843     .63798     .63744     .63678     .63602     .63512     .63408
     .63290     .63157     .63008     .62843     .62660     .62458     .62237

     .66637     .66636     .66632     .66624     .66609     .66586     .66555
     .66514     .66462     .66397     .66318     .66226     .66118     .65994
     .65854     .65695     .65517     .65320     .65101     .64861     .64598

     .69445     .69444     .69440     .69430     .69412     .69386     .69349
     .69301     .69239     .69164     .69073     .68965     .68839     .68694
     .68529     .68343     .68135     .67904     .67649     .67367     .67060

     .72305     .72304     .72299     .72288     .72267     .72237     .72195
     .72139     .72069     .71981     .71877     .71753     .71608     .71442
     .71253     .71041     .70801     .70537     .70243     .69922     .69569

     .75155     .75154     .75149     .75136     .75113     .75079     .75031
     .74969     .74889     .74791     .74672     .74532     .74370     .74182
     .73969     .73729     .73459     .73160     .72830     .72467     .72070

     .77942     .77941     .77935     .77920     .77895     .77857     .77804
     .77734     .77645     .77536     .77405     .77249     .77068     .76860
     .76623     .76356     .76058     .75726     .75359     .74957     .74516

     .80617     .80616     .80609     .80593     .80566     .80524     .80466
     .80390     .80293     .80173     .80028     .79858     .79660     .79432
     .79172     .78881     .78554     .78191     .77790     .77350     .76869

     .83144     .83142     .83135     .83118     .83088     .83043     .82980
     .82897     .82792     .82663     .82506     .82322     .82107     .81861
     .81581     .81266     .80913     .80521     .80089     .79614     .79095

     .85491     .85490     .85482     .85464     .85432     .85384     .85316
     .85228     .85115     .84976     .84810     .84612     .84383     .84120
     .83821     .83484     .83108     .82691     .82231     .81725     .81174

     .87641     .87639     .87631     .87611     .87578     .87526     .87455
     .87361     .87242     .87095     .86919     .86710     .86467     .86191
     .85875     .85520     .85123     .84683     .84199     .83667     .83087

     .89580     .89578     .89570     .89549     .89514     .89460     .89385
     .89287     .89162     .89008     .88822     .88605     .88351     .88061
     .87731     .87361     .86947     .86490     .85985     .85432     .84828

     .91305     .91304     .91295     .91273     .91237     .91181     .91103
     .91000     .90870     .90711     .90518     .90293     .90030     .89730
     .89390     .89007     .88581     .88108     .87589     .87018     .86395

     .92820     .92818     .92809     .92786     .92749     .92691     .92611
     .92506     .92371     .92208     .92010     .91778     .91508     .91201
     .90852     .90462     .90027     .89544     .89013     .88431     .87796

     .94131     .94131     .94129     .94123     .94102     .94063     .93996
     .93895     .93756     .93580     .93364     .93110     .92818     .92486
     .92116     .91705     .91251     .90754     .90210     .89616     .88973

     .95253     .95252     .95251     .95244     .95223     .95182     .95113
     .95009     .94870     .94691     .94477     .94227     .93939     .93611
     .93247     .92841     .92393     .91900     .91360     .90771     .90129

     .96199     .96199     .96197     .96189     .96168     .96124     .96052
     .95948     .95807     .95631     .95419     .95172     .94890     .94570
     .94212     .93815     .93375     .92890     .92357     .91774     .91137

     .96989     .96988     .96986     .96978     .96955     .96909     .96836
     .96728     .96589     .96416     .96209     .95968     .95693     .95382
     .95033     .94645     .94215     .93738     .93217     .92643     .92015

     .97638     .97638     .97636     .97626     .97603     .97555     .97479
     .97373     .97235     .97066     .96866     .96633     .96367     .96066
     .95727     .95351     .94931     .94467     .93957     .93394     .92776

     .98167     .98166     .98165     .98155     .98128     .98080     .98003
     .97899     .97764     .97600     .97408     .97184     .96929     .96639
     .96313     .95948     .95543     .95091     .94591     .94042     .93436

     .98592     .98591     .98590     .98578     .98551     .98502     .98425
     .98323     .98194     .98038     .97854     .97641     .97396     .97119
     .96806     .96454     .96062     .95624     .95139     .94602     .94009

     .98930     .98929     .98927     .98915     .98887     .98838     .98763
     .98665     .98541     .98393     .98218     .98017     .97784     .97519
     .97219     .96882     .96504     .96081     .95611     .95088     .94509

     .99195     .99194     .99191     .99179     .99150     .99101     .99030
     .98936     .98820     .98682     .98517     .98326     .98107     .97855
     .97570     .97247     .96883     .96475     .96020     .95513     .94950

     .99400     .99400     .99397     .99384     .99356     .99308     .99240
     .99152     .99045     .98914     .98762     .98582     .98374     .98136
     .97865     .97557     .97209     .96817     .96378     .95887     .95340

     .99558     .99557     .99554     .99542     .99513     .99468     .99405
     .99324     .99225     .99104     .98961     .98793     .98598     .98375
     .98117     .97824     .97493     .97116     .96694     .96219     .95690

     .99678     .99677     .99674     .99662     .99634     .99590     .99533
     .99459     .99368     .99257     .99125     .98969     .98787     .98576
     .98334     .98056     .97739     .97380     .96974     .96517     .96007

     .99767     .99766     .99763     .99751     .99725     .99686     .99633
     .99566     .99482     .99381     .99259     .99115     .98945     .98747
     .98520     .98257     .97956     .97613     .97226     .96787     .96293

     .99834     .99833     .99830     .99818     .99793     .99758     .99711
     .99650     .99574     .99482     .99369     .99235     .99079     .98893
     .98679     .98431     .98146     .97819     .97450     .97030     .96556

     .99882     .99882     .99879     .99866     .99845     .99813     .99771
     .99716     .99647     .99563     .99460     .99337     .99191     .99019
     .98818     .98583     .98314     .98005     .97650     .97248     .96793

     .99918     .99917     .99914     .99903     .99883     .99856     .99818
     .99769     .99707     .99631     .99536     .99422     .99286     .99126
     .98937     .98717     .98462     .98168     .97830     .97445     .97004

     .99943     .99942     .99939     .99929     .99912     .99887     .99854
     .99810     .99755     .99685     .99598     .99494     .99368     .99218
     .99040     .98833     .98592     .98311     .97988     .97618     .97193

     .99961     .99960     .99957     .99948     .99933     .99911     .99882
     .99843     .99792     .99728     .99651     .99553     .99437     .99297
     .99131     .98934     .98705     .98437     .98127     .97769     .97358

     .99973     .99973     .99970     .99962     .99950     .99930     .99904
     .99869     .99823     .99765     .99694     .99604     .99495     .99364
     .99207     .99021     .98803     .98545     .98246     .97899     .97498

     .99982     .99981     .99978     .99972     .99962     .99945     .99920
     .99890     .99849     .99795     .99730     .99646     .99545     .99422
     .99274     .99095     .98886     .98638     .98346     .98008     .97616

     .99988     .99987     .99986     .99980     .99969     .99955     .99934
     .99907     .99868     .99821     .99759     .99682     .99586     .99470
     .99328     .99158     .98955     .98714     .98431     .98099     .97713

     .99992     .99991     .99990     .99985     .99976     .99964     .99946
     .99920     .99886     .99842     .99784     .99712     .99622     .99511
     .99375     .99210     .99012     .98777     .98499     .98173     .97793

     .99995     .99994     .99993     .99988     .99980     .99970     .99953
     .99930     .99900     .99858     .99805     .99736     .99651     .99544
     .99411     .99251     .99059     .98829     .98554     .98232     .97855

     .99997     .99996     .99994     .99991     .99985     .99975     .99961
     .99940     .99911     .99872     .99822     .99756     .99674     .99570
     .99442     .99285     .99096     .98868     .98597     .98278     .97904

     .99998     .99997     .99996     .99993     .99988     .99979     .99965
     .99947     .99919     .99884     .99835     .99773     .99694     .99591
     .99466     .99312     .99124     .98899     .98632     .98314     .97943

     .99999     .99998     .99998     .99995     .99990     .99981     .99970
     .99952     .99928     .99893     .99847     .99786     .99708     .99609
     .99485     .99333     .99147     .98924     .98657     .98341     .97972

     .99999     .99998     .99998     .99995     .99991     .99985     .99972
     .99957     .99933     .99899     .99855     .99795     .99719     .99622
     .99499     .99347     .99164     .98941     .98676     .98361     .97992


constant used in Pair cre. sampling with LPM
  14613.7339055794  25  2.500000000000000E-002  .100000000000000  .000000000000000  1.00000000000000  41  4.16476119522278  3670803.99111164

Si      
Pair total x-sec. with LPM
  14613.7  .773478
  18397.6  .772775
  23161.2  .772775
  29158.2  .772776
  36708.0  .772467
  46212.7  .772009
  58178.3  .772537
  73242.2  .772502
  92206.4  .771925
  116081.  .768859
  146137.  .763902
  183976.  .755736
  231612.  .743916
  291582.  .728810
  367080.  .709913
  462127.  .687306
  581783.  .661633
  732422.  .633079
  922064.  .602227
  1.160810E+06  .569652
  1.461373E+06  .535955
  1.839760E+06  .501742
  2.316121E+06  .467504
  2.915823E+06  .433754
  3.670804E+06  .400844

Pair table with LPM
    1.00000     .99027     .98040     .97041     .96027     .95000     .93960
     .92905     .91836     .90752     .89654     .88540     .87411     .86265
     .85105     .83929     .82737     .81530     .80306     .79067     .77811
     .76540     .75253     .73951     .72634     .71302     .69956     .68596
     .67221     .65835     .64437     .63028     .61607     .60178     .58740
     .57295     .55844     .54387     .52927     .51464     .50000

    1.00000     .99021     .98029     .97025     .96008     .94976     .93931
     .92872     .91798     .90710     .89608     .88490     .87357     .86210
     .85047     .83868     .82674     .81464     .80239     .78999     .77743
     .76472     .75185     .73883     .72567     .71237     .69892     .68534
     .67163     .65779     .64385     .62980     .61563     .60139     .58706
     .57266     .55820     .54370     .52915     .51458     .50000

    1.00000     .99021     .98029     .97025     .96008     .94976     .93931
     .92872     .91798     .90710     .89608     .88490     .87357     .86210
     .85047     .83868     .82674     .81464     .80239     .78999     .77743
     .76472     .75185     .73883     .72567     .71237     .69892     .68534
     .67163     .65779     .64385     .62980     .61563     .60139     .58706
     .57266     .55820     .54370     .52915     .51458     .50000

    1.00000     .99021     .98029     .97025     .96008     .94976     .93931
     .92872     .91798     .90710     .89608     .88490     .87357     .86210
     .85047     .83868     .82674     .81464     .80239     .78999     .77743
     .76472     .75185     .73883     .72567     .71237     .69892     .68534
     .67163     .65779     .64385     .62980     .61563     .60139     .58706
     .57266     .55820     .54370     .52915     .51458     .50000

    1.00000     .99021     .98031     .97027     .96009     .94979     .93934
     .92875     .91802     .90714     .89613     .88496     .87363     .86216
     .85053     .83875     .82682     .81474     .80248     .79009     .77753
     .76482     .75196     .73896     .72580     .71250     .69906     .68549
     .67179     .65796     .64402     .62997     .61582     .60157     .58725
     .57286     .55835     .54384     .52914     .51458     .50000

    1.00000     .99023     .98032     .97028     .96012     .94982     .93937
     .92879     .91807     .90720     .89619     .88502     .87371     .86225
     .85062     .83886     .82693     .81486     .80262     .79023     .77769
     .76498     .75213     .73913     .72594     .71255     .69913     .68541
     .67173     .65793     .64402     .62974     .61563     .60144     .58715
     .57280     .55838     .54354     .52906     .51454     .50000

    1.00000     .99021     .98031     .97027     .96009     .94978     .93932
     .92873     .91801     .90713     .89611     .88494     .87362     .86214
     .85052     .83874     .82681     .81472     .80244     .78996     .77741
     .76460     .75177     .73878     .72547     .71221     .69881     .68528
     .67134     .65757     .64368     .62969     .61558     .60139     .58711
     .57275     .55796     .54352     .52904     .51453     .50000

    1.00000     .99021     .98031     .97027     .96009     .94978     .93934
     .92875     .91801     .90714     .89611     .88494     .87362     .86214
     .85050     .83868     .82665     .81460     .80222     .78988     .77738
     .76472     .75170     .73875     .72566     .71242     .69903     .68550
     .67155     .65779     .64390     .62990     .61580     .60160     .58731
     .57294     .55851     .54402     .52906     .51455     .50000

    1.00000     .99023     .98032     .97028     .96012     .94982     .93938
     .92879     .91808     .90722     .89620     .88502     .87368     .86216
     .85058     .83874     .82688     .81484     .80251     .79020     .77772
     .76507     .75204     .73911     .72602     .71277     .69938     .68584
     .67216     .65834     .64439     .63002     .61587     .60163     .58728
     .57287     .55838     .54383     .52925     .51464     .50000

    1.00000     .99026     .98040     .97041     .96029     .95002     .93963
     .92910     .91842     .90755     .89655     .88548     .87418     .86283
     .85120     .83956     .82775     .81579     .80349     .79122     .77877
     .76617     .75339     .74045     .72734     .71383     .70044     .68688
     .67318     .65933     .64534     .63124     .61700     .60266     .58823
     .57370     .55911     .54409     .52942     .51471     .50000

    1.00000     .99033     .98052     .97060     .96055     .95036     .94004
     .92953     .91891     .90813     .89730     .88624     .87513     .86387
     .85246     .84075     .82902     .81712     .80503     .79278     .78016
     .76757     .75480     .74186     .72874     .71545     .70198     .68836
     .67456     .66062     .64624     .63204     .61771     .60327     .58872
     .57408     .55936     .54458     .52975     .51488     .50000

    1.00000     .99043     .98074     .97092     .96098     .95090     .94068
     .93034     .91985     .90923     .89854     .88770     .87661     .86547
     .85416     .84267     .83085     .81902     .80700     .79479     .78240
     .76981     .75703     .74405     .73088     .71732     .70381     .69012
     .67626     .66223     .64804     .63370     .61923     .60462     .58990
     .57508     .56017     .54519     .53016     .51509     .50000

    1.00000     .99058     .98104     .97138     .96160     .95165     .94161
     .93151     .92123     .91085     .90026     .88958     .87873     .86759
     .85641     .84504     .83347     .82171     .80973     .79755     .78500
     .77244     .75966     .74669     .73350     .72011     .70652     .69274
     .67876     .66459     .65026     .63576     .62111     .60630     .59138
     .57610     .56099     .54582     .53057     .51530     .50000

    1.00000     .99078     .98144     .97198     .96239     .95267     .94288
     .93301     .92292     .91276     .90241     .89182     .88114     .87028
     .85920     .84792     .83643     .82461     .81271     .80059     .78825
     .77567     .76288     .74986     .73661     .72313     .70944     .69552
     .68140     .66688     .65239     .63772     .62288     .60788     .59275
     .57748     .56211     .54667     .53115     .51558     .50000

    1.00000     .99102     .98193     .97271     .96337     .95397     .94448
     .93481     .92503     .91502     .90490     .89458     .88407     .87334
     .86230     .85116     .83979     .82818     .81634     .80425     .79194
     .77935     .76653     .75346     .73999     .72644     .71266     .69864
     .68439     .66992     .65523     .64035     .62527     .61002     .59462
     .57907     .56340     .54763     .53180     .51591     .50000

    1.00000     .99131     .98251     .97359     .96459     .95553     .94630
     .93696     .92739     .91769     .90778     .89767     .88728     .87673
     .86596     .85494     .84368     .83216     .82038     .80834     .79592
     .78336     .77055     .75746     .74409     .73046     .71657     .70241
     .68800     .67334     .65844     .64332     .62799     .61246     .59675
     .58089     .56474     .54866     .53248     .51625     .50000

    1.00000     .99163     .98316     .97460     .96598     .95722     .94831
     .93926     .93002     .92057     .91084     .90096     .89083     .88047
     .86985     .85896     .84780     .83630     .82461     .81263     .80038
     .78783     .77499     .76185     .74842     .73469     .72068     .70636
     .69177     .67691     .66177     .64627     .63067     .61485     .59883
     .58265     .56630     .54984     .53328     .51665     .50000

    1.00000     .99200     .98389     .97573     .96748     .95907     .95052
     .94178     .93276     .92359     .91418     .90452     .89460     .88442
     .87388     .86317     .85215     .84084     .82925     .81733     .80511
     .79258     .77972     .76653     .75303     .73921     .72496     .71051
     .69575     .68068     .66533     .64969     .63379     .61764     .60128
     .58471     .56798     .55109     .53412     .51708     .50000

    1.00000     .99238     .98469     .97694     .96908     .96105     .95283
     .94436     .93571     .92681     .91764     .90821     .89846     .88848
     .87821     .86764     .85676     .84557     .83405     .82221     .81004
     .79751     .78457     .77135     .75780     .74389     .72963     .71503
     .70008     .68480     .66918     .65326     .63704     .62056     .60383
     .58686     .56973     .55243     .53502     .51754     .50000

    1.00000     .99281     .98553     .97820     .97073     .96307     .95518
     .94706     .93871     .93008     .92117     .91195     .90247     .89271
     .88262     .87222     .86147     .85040     .83898     .82716     .81504
     .80254     .78968     .77645     .76283     .74883     .73445     .71968
     .70455     .68905     .67318     .65698     .64045     .62363     .60653
     .58915     .57158     .55384     .53598     .51801     .50000

    1.00000     .99322     .98641     .97948     .97240     .96510     .95757
     .94978     .94172     .93333     .92471     .91576     .90652     .89695
     .88705     .87681     .86622     .85523     .84394     .83225     .82018
     .80773     .79487     .78162     .76794     .75386     .73936     .72446
     .70915     .69344     .67733     .66082     .64398     .62680     .60931
     .59155     .57354     .55531     .53696     .51851     .50000

    1.00000     .99366     .98728     .98078     .97408     .96714     .95994
     .95246     .94466     .93661     .92825     .91955     .91053     .90116
     .89143     .88136     .87093     .86012     .84893     .83733     .82533
     .81290     .80007     .78680     .77308     .75893     .74434     .72928
     .71379     .69787     .68151     .66475     .64756     .63002     .61214
     .59395     .57550     .55683     .53798     .51902     .50000

    1.00000     .99409     .98815     .98205     .97572     .96912     .96226
     .95507     .94759     .93981     .93169     .92326     .91442     .90528
     .89576     .88587     .87560     .86494     .85384     .84235     .83042
     .81805     .80524     .79195     .77822     .76400     .74931     .73414
     .71846     .70234     .68575     .66870     .65123     .63333     .61506
     .59645     .57750     .55835     .53901     .51954     .50000

    1.00000     .99451     .98899     .98327     .97730     .97105     .96449
     .95762     .95043     .94291     .93505     .92683     .91825     .90931
     .89999     .89027     .88015     .86961     .85865     .84725     .83540
     .82310     .81031     .79704     .78327     .76899     .75422     .73893
     .72312     .70680     .68997     .67262     .65483     .63659     .61793
     .59890     .57954     .55990     .54006     .52006     .50000

    1.00000     .99494     .98981     .98446     .97883     .97289     .96664
     .96006     .95315     .94587     .93826     .93029     .92193     .91319
     .90406     .89451     .88456     .87417     .86332     .85203     .84026
     .82801     .81525     .80201     .78823     .77392     .75906     .74366
     .72769     .71119     .69414     .67657     .65847     .63990     .62085
     .60141     .58159     .56148     .54113     .52059     .50000


