# ************************************************ 
#     This table  has been made by using ../../Data/BaseM/LiqH2 
#     with Bremsstrahlung formula: # 1
#     and  Pair creation  formula: # 1.
#     Tue Apr 20 20:24:04 GMT+0900 1999 by KASAHARA Katsuaki using
#     version epics.uv5.00  
# 
#name   Format    H2 Liquid
LiqH2 	1
#
#  Elem	 rho(g/cm^3)	Gas/Solid(1/0)   r.i        Birks c

1         0.0838		0        1.112     0 0 0
# 	Z	A  	N
	1	1.008	2
 Excitation (Ionization) potential =  18.70 eV
 radation length=  752.274487695635 cm  63.0406020688942 g/cm^2
 <Aeff>=  1.00800000000000 <Zeff=>  1.00000000000000 <Z2/A>=   .992063492063492
 plasma energy=  8.308553845093950E-009 GeV no density=  2.503249283035714E+022 /cm^3
 <Z2eff=>  1.00000000000000 <Z/A>=  .992063492063492
Migdal s1=  2.986055122577562E-005
 Conversion factors:
 g/cm^2 to cm=  11.9331742243437
 mb to /(g/cm2)=  2.987170982142860E-004 mb to /cm=  2.503249283035714E-005 mb to /X0=  1.883130571970160E-002
 If a comound is specified as an Atom, use the
 following instead:   5.974341964285714E-004  5.006498566071430E-005  3.766261143940313E-002
 pi x Re**2 * N* Z /A *X0g  = 0.15 Z/A*X0g=  9.39559027266189
 media.A, Z, Z^2=  2.01600000000000  2.00000000000000  2.00000000000000

 **** Sternheimers consts
 a, b, c =  .152380959618659  21.1025882978312 -2.62358684916027
 x0, x1 =  .200000002980232  2.00000000000000
 sa, xa =  .291904467518916  .569602014672231
 minimum dEdx_restricted=  3.490027846730520E-003 GeV/(g/cm^2)  with Tcut=  1.000000000000000E-004 GeV

 **** photoelectric consts
b0, b1, b2=  1.04404214957152  1.88092469266534  2.05644418387278
fa, a, p=  1.08280444146691  5.109864999997711E-004  1.065194267042343E-007
l, ek=  7.96875000000000  1.360000000000000E-008

#-#-#-#-#-#-#-#-#-#-#-#-
 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

LiqH2   
Seltzer Brems total X-sec. table upto E=  .100000000000000 GeV
  7.110000E-04  2.09444
  9.104920E-04  2.36087
  1.165957E-03  2.82815
  1.493101E-03  3.41828
  1.912034E-03  4.08117
  2.448512E-03  4.81302
  3.135514E-03  5.59216
  4.015274E-03  6.37727
  5.141878E-03  7.15544
  6.584583E-03  7.92462
  8.432082E-03  8.69070
  1.079795E-02  9.33163
  1.382763E-02  10.0642
  1.770738E-02  10.7700
  2.267571E-02  11.4650
  2.903805E-02  12.1481
  3.718552E-02  12.8055
  4.761902E-02  13.4263
  6.097994E-02  13.9935
  7.808965E-02  14.5269
  .100000  11.3085

Selzter Brems sampling table; log(v/vmin)/(1-u)
    2.37018    2.25687    2.17108    2.10264    2.04545    1.99671    1.95417
    1.91700    1.88316    1.85242    1.82486    1.80046    1.77758    1.75615
    1.73618    1.71757    1.70021    1.68402    1.66911    1.65485

    2.82757    2.69006    2.58870    2.50833    2.44235    2.38500    2.33548
    2.29184    2.25056    2.21235    2.17737    2.14557    2.11668    2.09036
    2.06638    2.04450    2.02449    2.00606    1.98923    1.97352

    3.16919    3.01451    2.89944    2.80901    2.73474    2.67114    2.61141
    2.55739    2.50950    2.46724    2.42988    2.39676    2.36726    2.34088
    2.31716    2.29573    2.27629    2.25864    2.24242    2.22771

    3.47362    3.30206    3.17641    3.07852    2.99563    2.91937    2.85283
    2.79576    2.74679    2.70456    2.66786    2.63573    2.60742    2.58229
    2.55990    2.53980    2.52177    2.50544    2.49042    2.47705

    3.76670    3.58332    3.44920    3.34514    3.25616    3.17931    3.11334
    3.05669    3.00791    2.96564    2.92880    2.89653    2.86804    2.84283
    2.82032    2.80023    2.78222    2.76589    2.75111    2.73793

    4.05359    3.85904    3.71657    3.60334    3.50701    3.42590    3.35787
    3.30053    3.25189    3.21026    3.17437    3.14321    3.11596    3.09202
    3.07086    3.05208    3.03535    3.02032    3.00681    2.99481

    4.33721    4.13371    3.98406    3.86183    3.75983    3.67584    3.60667
    3.54923    3.50104    3.46025    3.42541    3.39543    3.36943    3.34676
    3.32686    3.30937    3.29386    3.28014    3.26793    3.25685

    4.62332    4.41394    4.25660    4.12597    4.01879    3.93214    3.86185
    3.80421    3.75643    3.71632    3.68240    3.65345    3.62853    3.60698
    3.58825    3.57184    3.55753    3.54489    3.53354    3.52367

    4.91245    4.69974    4.53482    4.39560    4.28267    4.19271    4.12070
    4.06239    4.01450    3.97473    3.94138    3.91317    3.88913    3.86846
    3.85067    3.83524    3.82179    3.80997    3.79966    3.79063

    5.20069    4.98502    4.81299    4.66500    4.54590    4.45229    4.37831
    4.31903    4.27088    4.23131    4.19838    4.17077    4.14748    4.12762
    4.11063    4.09602    4.08342    4.07245    4.06292    4.05466

    5.48651    5.26691    5.08687    4.92932    4.80381    4.70657    4.63072
    4.57067    4.52241    4.48309    4.45074    4.42383    4.40127    4.38222
    4.36613    4.35233    4.34056    4.33042    4.32164    4.31407

    5.78450    5.56640    5.38922    5.23334    5.10070    4.99234    4.90527
    4.83535    4.77885    4.73277    4.69493    4.66360    4.63750    4.61557
    4.59706    4.58143    4.56807    4.55672    4.54687    4.53846

    6.06795    5.84657    5.66258    5.49783    5.35805    5.24539    5.15618
    5.08551    5.02909    4.98359    4.94659    4.91628    4.89119    4.87039
    4.85301    4.83834    4.82605    4.81550    4.80662    4.79905

    6.34749    6.12208    5.93044    5.75732    5.61214    5.49712    5.40749
    5.33741    5.28211    5.23799    5.20251    5.17365    5.15005    5.13062
    5.11453    5.10108    5.08988    5.08048    5.07249    5.06580

    6.62420    6.39424    6.19431    6.01293    5.86318    5.74672    5.65737
    5.58840    5.53460    5.49210    5.45824    5.43100    5.40893    5.39093
    5.37614    5.36389    5.35384    5.34541    5.33839    5.33242

    6.89727    6.66209    6.45321    6.26371    6.11006    5.99282    5.90423
    5.83671    5.78457    5.74384    5.71168    5.68608    5.66550    5.64887
    5.63532    5.62431    5.61515    5.60774    5.60145    5.59629

    7.16775    6.92702    6.70910    6.51226    6.35589    6.23877    6.15154
    6.08582    6.03561    5.99678    5.96641    5.94243    5.92340    5.90813
    5.89583    5.88585    5.87771    5.87115    5.86577    5.86114

    7.43652    7.19050    6.96431    6.76172    6.60409    6.48803    6.40273
    6.33918    6.29114    6.25432    6.22580    6.20354    6.18597    6.17205
    6.16094    6.15200    6.14484    6.13897    6.13443    6.13037

    7.70655    7.45636    7.22348    7.01700    6.85939    6.74515    6.66217
    6.60102    6.55524    6.52051    6.49388    6.47328    6.45724    6.44456
    6.43465    6.42671    6.42038    6.41531    6.41130    6.40786

    7.97569    7.72216    7.48405    7.27552    7.11919    7.00744    6.92719
    6.86862    6.82522    6.79263    6.76788    6.74893    6.73429    6.72294
    6.71403    6.70709    6.70156    6.69712    6.69366    6.69080

    8.65386    8.55706    8.49558    8.45491    8.42732    8.40826    8.39492
    8.38552    8.37884    8.37405    8.37060    8.36814    8.36633    8.36502
    8.36402    8.36330    8.36277    8.36231    8.36200    5.24869


Seltzer Brems sampling tbl in B; log(v/vmin)
  136.22596  136.71982  129.07417  108.68660   84.10521   64.23879   50.15240
   40.41367   33.52265   28.50522   24.69935   21.67945   19.20904   17.14498
   15.40130   13.89180   12.55611   11.37417   10.33549    9.42440    8.62564

  384.36468  380.79929  314.77847  217.45585  147.99406  105.97424   80.39269
   64.09430   53.00273   44.79268   38.39774   33.28748   29.00351   25.33782
   22.22964   19.61188   17.40942   15.54968   13.96809   12.60876   11.42803

  770.15046  729.38782  510.79134  311.71002  201.14299  141.27240  106.67303
   84.98783   69.87239   58.51682   49.34445   41.79105   35.63213   30.64928
   26.61308   23.30947   20.57821   18.29453   16.36725   14.71974   13.29728

 1228.38748 1125.31725  676.07741  381.51048  239.73918  167.16386  126.17482
  100.46241   81.89077   67.24087   55.62086   46.53166   39.41633   33.80133
   29.29964   25.64191   22.62399   20.10672   17.98155   16.16989   14.60863

 1702.35042 1504.42716  795.76959  427.67852  264.47352  183.56687  138.45213
  109.51263   87.88668   71.17524   58.47514   48.81512   41.36693   35.51512
   30.84094   27.03822   23.89804   21.27328   19.05512   17.16003   15.52362

 2135.13717 1781.51461  866.03741  453.71340  278.21150  192.58411  144.76339
  112.92324   89.47067   72.11883   59.25972   49.59115   42.16342   36.33075
   31.65736   27.84435   24.68569   22.03458   19.78461   17.85473   16.18344

 2579.59089 1966.55704  900.14851  466.04815  284.68552  196.48170  146.15299
  112.41682   88.54545   71.40789   58.86850   49.47451   42.25272   36.56797
   31.99554   28.24947   25.13296   22.50546   20.26636   18.33903   16.66575

 3015.10615 2039.85740  899.49017  465.20597  284.39070  195.38011  143.17265
  108.97216   85.71678   69.37348   57.50563   48.60806   41.74442   36.31353
   31.92109   28.30418   25.27867   22.71686   20.52488   18.63137   16.98175

 3456.23326 2032.70307  875.94692  454.38503  279.02664  190.68760  137.84209
  104.24027   81.99478   66.62523   55.55183   47.26377   40.85318   35.75404
   31.60361   28.15860   25.25328   22.77349   20.63823   18.78507   17.16715

 3887.92052 1970.44978  837.31622  437.11512  269.17131  182.59294  131.00152
   98.94369   78.01932   63.67950   53.39445   45.70888   39.75537   35.00283
   31.11134   27.85825   25.09348   22.71577   20.65498   18.85803   17.28504

 4313.14555 1875.08371  789.21596  416.31434  257.04747  172.61220  123.44367
   93.38469   73.95030   60.68493   51.19240   44.09439   38.58141   34.16346
   30.52435   27.46295   24.84523   22.58204   20.61024   18.88412   17.36838

 4670.49867 1810.76765  757.40057  393.63763  242.25781  161.12144  115.00232
   87.26361   69.41957   57.28267   48.60649   42.12238   37.07620   33.01683
   29.65778   26.81607   24.37044   22.24288   20.38029   18.74172   17.30009

 5070.83178 1699.93184  707.80116  368.54284  225.82855  149.93874  107.27325
   81.80146   65.44953   54.33619   46.39466   40.45383   35.82316   32.08383
   28.97575   26.32998   24.03861   22.03276   20.26683   18.70709   17.33029

 5450.88598 1589.16298  657.56510  344.20817  209.09876  138.80569   99.80153
   76.56281   61.66030   51.51802   44.26917   38.84910   34.61327   31.18060
   28.31457   25.85979   23.72036   21.83469   20.16518   18.68358   17.37132

 5823.38776 1481.74118  608.58800  321.14222  194.42339  128.78915   93.00487
   71.75227   58.14711   48.87610   42.26172   37.31742   33.44937   30.30746
   27.67104   25.40207   23.41017   21.64375   20.06990   18.66650   17.41891

 6187.40590 1387.23425  566.27785  299.84222  181.15660  119.42317   86.67780
   67.29046   54.90079   46.44793   40.41265   35.89913   32.36782   29.49093
   27.06784   24.97358   23.12495   21.47471   19.99535   18.66891   17.48476

 6535.51473 1299.93625  528.48413  276.18260  167.02082  110.40102   80.65291
   63.07640   51.83731   44.15365   38.66443   34.55500   31.33844   28.71298
   26.49310   24.56705   22.85744   21.32161   19.93520   18.68441   17.56282

 6863.17006 1225.58528  496.29699  252.50896  151.23729  101.27000   74.76934
   59.01266   48.92425   41.97695   36.99864   33.26895   30.34865   27.96456
   25.94444   24.18182   22.60763   21.18275   19.88675   18.70927   17.64741

 7162.83708 1154.83922  464.77684  230.60468  136.35079   92.63368   69.18320
   55.17292   46.14910   39.90610   35.40245   32.02508   29.37315   27.21404
   25.38834   23.78586   22.34467   21.02905   19.82208   18.71682   17.71408

 7443.78871 1088.46764  429.51156  210.24956  123.96955   85.02572   64.22857
   51.71651   43.58680   37.94510   33.85788   30.81298   28.42907   26.49100
   24.85256   23.40634   22.09527   20.88676   19.76631   18.73031   17.78349

 5798.51943  300.31004  181.62411  107.62259   72.17565   53.42757   42.38682
   35.33293   30.51527   27.07069   24.51338   22.55450   21.01287   19.76453
   18.72110   17.81535   16.99732   16.23588   15.51321   14.82321   14.16734


 constant for Brems sampling table at low energies
  150.000000000000  1.000000000000000E-004  1.000000000000000E-002 -2.00000000000000  150.000000000000  1.35441526308265  .100000000000000  1.00000000000000  41  4.736842105263160E-002  .104402281476392  .104402281476392  .000000000000000  .562341325190349  2.811706625951750E-002  41  20  21

LiqH2   
Brems total X-sec. table upto E=  150.000000000000 GeV
  1.000000E-02  4.67263
  1.271752E-02  5.20101
  1.617352E-02  5.78733
  2.056870E-02  6.38099
  2.615828E-02  6.98351
  3.326683E-02  7.57359
  4.230714E-02  8.15671
  5.380417E-02  8.72595
  6.842554E-02  9.26974
  8.702029E-02  9.79784
  .110668  8.35098
  .140742  8.71573
  .178989  9.07557
  .227630  9.43095
  .289489  9.78233
  .368158  10.1301
  .468205  10.4748
  .595441  10.8166
  .757253  11.1560
  .963038  11.4932
  1.22474  11.8286
  1.55757  12.1624
  1.98084  12.4948
  2.51914  12.8260
  3.20372  13.1562
  4.07434  13.4856
  5.18155  13.8142
  6.58964  14.1423
  8.38038  14.4698
  10.6578  14.7958
  13.5540  15.1250
  17.2374  15.4499
  21.9216  15.7590
  27.8789  16.0393
  35.4550  16.2782
  45.0900  16.4644
  57.3432  16.5944
  72.9263  16.6654
  92.7442  16.6775
  117.948  16.6371
  150.000  16.4116

Brems sampling table at low E for Small Eg
    3.77853    3.62732    3.50797    3.40727    3.31894    3.23837    3.15671
    3.07699    3.00300    2.93644    2.87743    2.82536    2.77942    2.73877
    2.70267    2.67049    2.64158    2.61569    2.59210    2.57104

    4.04468    3.89376    3.77392    3.67290    3.58539    3.50436    3.42582
    3.34960    3.27695    3.20926    3.14732    3.09131    3.04095    2.99581
    2.95538    2.91916    2.88653    2.85715    2.83055    2.80661

    4.29954    4.14534    4.02134    3.91624    3.82332    3.73431    3.64693
    3.56254    3.48349    3.41135    3.34666    3.28919    3.23832    3.19334
    3.15343    3.11797    3.08637    3.05814    3.03296    3.01011

    4.55362    4.39587    4.26741    4.15751    4.05756    3.95939    3.86279
    3.77091    3.68677    3.61175    3.54580    3.48815    3.43785    3.39380
    3.35513    3.32106    3.29095    3.26433    3.24055    3.21923

    4.80791    4.64640    4.51328    4.39788    4.28966    4.18156    4.07589
    3.97761    3.88983    3.81324    3.74710    3.69014    3.64097    3.59840
    3.56133    3.52897    3.50052    3.47556    3.45342    3.43366

    5.05911    4.89276    4.75398    4.63199    4.51407    4.39562    4.28195
    4.17904    4.08946    4.01289    3.94782    3.89243    3.84514    3.80454
    3.76950    3.73913    3.71265    3.68949    3.66901    3.65103

    5.30985    5.13843    4.99374    4.86475    4.73675    4.60870    4.48877
    4.38324    4.29347    4.21810    4.15491    4.10172    4.05669    4.01837
    3.98553    3.95723    3.93283    3.91153    3.89279    3.87659

    5.56033    5.38390    5.23362    5.09724    4.95952    4.82349    4.69959
    4.59344    4.50500    4.43178    4.37116    4.32059    4.27815    4.24226
    4.21178    4.18571    4.16330    4.14392    4.12721    4.11257

    5.81173    5.63085    5.47553    5.33188    5.18540    5.04341    4.91773
    4.81255    4.72642    4.65607    4.59834    4.55063    4.51093    4.47762
    4.44953    4.42569    4.40532    4.38785    4.37276    4.35988

    6.06091    5.87529    5.71526    5.56441    5.41042    5.26479    5.13941
    5.03669    4.95378    4.88681    4.83237    4.78773    4.75088    4.72027
    4.69456    4.67296    4.65462    4.63897    4.62567    4.61431

    6.55395    6.45577    6.38725    6.33787    6.30138    6.27396    6.25307
    6.23698    6.22450    6.21476    6.20709    6.20103    6.19621    6.19239
    6.18933    6.18691    6.18493    6.18328    6.18208    6.18088

    6.80888    6.71156    6.64414    6.59596    6.56072    6.53448    6.51468
    6.49960    6.48803    6.47907    6.47211    6.46666    6.46243    6.45903
    6.45634    6.45421    6.45259    6.45118    6.45019    6.44918

    7.06188    6.96523    6.89879    6.85173    6.81763    6.79248    6.77372
    6.75958    6.74881    6.74060    6.73426    6.72936    6.72553    6.72256
    6.72026    6.71845    6.71693    6.71586    6.71493    6.71415

    7.31299    7.21683    7.15128    7.10528    7.07225    7.04815    7.03034
    7.01705    7.00704    6.99948    6.99372    6.98930    6.98590    6.98330
    6.98127    6.97966    6.97841    6.97738    6.97668    6.97605

    7.56224    7.46647    7.40173    7.35673    7.32473    7.30162    7.28471
    7.27222    7.26292    7.25595    7.25070    7.24672    7.24371    7.24141
    7.23960    7.23826    7.23716    7.23633    7.23569    7.23517

    7.80973    7.71425    7.65031    7.60628    7.57527    7.55309    7.53704
    7.52529    7.51664    7.51022    7.50546    7.50188    7.49919    7.49713
    7.49559    7.49440    7.49347    7.49273    7.49232    7.49179

    8.05556    7.96034    7.89716    7.85408    7.82404    7.80277    7.78751
    7.77648    7.76845    7.76255    7.75818    7.75496    7.75256    7.75076
    7.74938    7.74836    7.74763    7.74692    7.74648    7.74617

    8.29988    8.20487    8.14248    8.10033    8.07123    8.05085    8.03636
    8.02600    8.01854    8.01310    8.00913    8.00624    8.00410    8.00250
    8.00131    8.00040    7.99981    7.99923    7.99882    7.99856

    8.54280    8.44803    8.38643    8.34522    8.31706    8.29751    8.28378
    8.27405    8.26711    8.26212    8.25851    8.25589    8.25399    8.25261
    8.25156    8.25080    8.25022    8.24975    8.24943    8.24921

    8.78447    8.68999    8.62918    8.58892    8.56168    8.54296    8.52994
    8.52081    8.51437    8.50979    8.50652    8.50417    8.50246    8.50124
    8.50032    8.49967    8.49920    8.49873    8.49862    8.49832

    9.02506    8.93089    8.87091    8.83159    8.80527    8.78735    8.77502
    8.76647    8.76048    8.75629    8.75332    8.75119    8.74970    8.74861
    8.74780    8.74724    8.74677    8.74649    8.74623    8.74611

    9.26469    9.17089    9.11177    9.07341    9.04797    9.03085    9.01918
    9.01117    9.00563    9.00176    8.99907    8.99718    8.99581    8.99486
    8.99418    8.99372    8.99329    8.99312    8.99291    8.99274

    9.50350    9.41013    9.35191    9.31450    9.28994    9.27358    9.26254
    9.25505    9.24991    9.24639    9.24395    9.24225    9.24104    9.24020
    9.23962    9.23918    9.23884    9.23872    9.23850    9.23838

    9.74163    9.64875    9.59143    9.55498    9.53130    9.51567    9.50525
    9.49824    9.49349    9.49026    9.48805    9.48652    9.48545    9.48474
    9.48420    9.48384    9.48354    9.48340    9.48313    9.48316

    9.97918    9.88684    9.83049    9.79499    9.77216    9.75726    9.74742
    9.74087    9.73647    9.73351    9.73151    9.73017    9.72920    9.72857
    9.72814    9.72781    9.72758    9.72741    9.72741    9.72723

   10.21626   10.12454   10.06914   10.03462   10.01262    9.99842    9.98913
    9.98301    9.97895    9.97625    9.97446    9.97323    9.97241    9.97184
    9.97144    9.97116    9.97101    9.97078    9.97077    9.97069

   10.45295   10.36191   10.30750   10.27393   10.25275   10.23923   10.23046
   10.22478   10.22103   10.21857   10.21692   10.21584   10.21509   10.21459
   10.21429   10.21407   10.21390   10.21379   10.21353   10.21363

   10.68936   10.59905   10.54562   10.51301   10.49265   10.47976   10.47151
   10.46621   10.46276   10.46052   10.45903   10.45804   10.45742   10.45698
   10.45669   10.45646   10.45638   10.45620   10.45603   10.45614

   10.92552   10.83600   10.78359   10.75192   10.73235   10.72008   10.71233
   10.70738   10.70419   10.70214   10.70082   10.69994   10.69937   10.69902
   10.69874   10.69855   10.69846   10.69843   10.69848   10.69829

   11.16165   11.07298   11.02166   10.99097   10.97223   10.96066   10.95345
   10.94897   10.94618   10.94446   10.94345   10.94294   10.94274   10.94281
   10.94318   10.94395   10.94529   10.94813   10.95676   10.91498

   11.39728   11.30939   11.25897   11.22907   11.21094   11.19978   11.19279
   11.18839   11.18554   11.18365   11.18234   11.18140   11.18058   11.17980
   11.17898   11.17780   11.17609   11.17268   11.11280   11.14072

   11.63325   11.54633   11.49702   11.46811   11.45081   11.44031   11.43389
   11.42995   11.42750   11.42599   11.42507   11.42454   11.42426   11.42413
   11.42411   11.42425   11.42466   11.40645   11.57059   11.54695

   11.87072   11.78543   11.73798   11.71090   11.69539   11.68667   11.68209
   11.68011   11.67989   11.68096   11.68311   11.68632   11.69084   11.69711
   11.70605   11.71955   11.73114   10.13136    7.14552   12.20030

   12.11095   12.02858   11.98434   11.96064   11.94869   11.94381   11.94347
   11.94631   11.95167   11.95932   11.96947   11.98268   11.99997   12.02329
   12.05604   12.10199   12.18302   10.65086    7.63539   13.17065

   12.35520   12.27751   12.23846   12.22038   12.21457   12.21652   12.22390
   12.23562   12.25138   12.27145   12.29677   12.32883   12.37039   12.42600
   12.50400   12.61656   12.82064   11.39685    8.36115   14.53193

   12.60459   12.53381   12.50246   12.49288   12.49652   12.50912   12.52866
   12.55448   12.58683   12.62679   12.67633   12.73868   12.81914   12.92666
   13.07254   13.30299   13.67572    9.65335   15.88013   16.36521

   12.85939   12.79793   12.77695   12.77893   12.79553   12.82285   12.85929
   12.90478   12.96032   13.02805   13.11155   13.21631   13.35129   13.53146
   13.78019   14.16976   14.74770   10.80330   17.92170   18.77046

   13.11990   13.07027   13.06250   13.07926   13.11255   13.15890   13.21725
   13.28825   13.37394   13.47782   13.60546   13.76544   13.97140   14.24162
   14.63233   15.20701   16.03566   12.24837   20.52091   21.86611

   13.38609   13.35078   13.35903   13.39380   13.44751   13.51716   13.60239
   13.70476   13.82749   13.97583   14.15783   14.38574   14.67901   15.06281
   15.61867   16.40915   17.53152   14.00607   23.72780   25.79847

   13.65737   13.63861   13.66536   13.72102   13.79843   13.89520   14.01177
   14.15068   14.31664   14.51689   14.76232   15.06951   15.46325   15.98644
   16.72752   17.76291   19.22632   16.08888   27.58402   30.75542

   13.93968   13.93899   13.98619   14.06503   14.16887   14.29596   14.44761
   14.62749   14.84190   15.10029   15.41683   15.81292   16.31510   17.00744
   17.95245   19.26143   21.11458   18.50749   32.12658   36.99115


Brems sampling tbl at low E for large Eg
 2146.77425 1063.91220  484.34486  266.19811  167.21882  114.12486   81.86552
   61.62208   48.41137   39.40720   33.00862   28.29414   24.69868   21.87100
   19.58563   17.69328   16.09317   14.71740   13.51730   12.45950   11.52032

 2404.14591 1095.58799  493.36153  258.89611  161.40716  109.25571   77.98271
   58.70289   46.28841   37.85492   31.87202   27.47113   24.11192   21.46781
   19.32286   17.54035   16.02650   14.71783   13.56934   12.55167   11.64338

 2697.24943 1065.91476  471.84957  247.92520  153.95202  103.32546   73.91183
   55.89690   44.33859   36.49197   30.91493   26.80983   23.67032   21.19497
   19.18012   17.49693   16.06055   14.81109   13.70813   12.72461   11.84263

 3003.46370 1030.57389  446.83695  235.96091  146.82822   97.90144   70.09048
   53.24771   42.46821   35.15844   29.96064   26.13332   23.20665   20.89568
   19.00965   17.42821   16.07075   14.88343   13.82840   12.88230   12.02931

 3313.63689  992.53671  422.90035  224.23403  139.79444   92.65563   66.32624
   50.64362   40.61958   33.83106   28.99987   25.44300   22.72121   20.57061
   18.81097   17.32888   16.05126   14.92791   13.92437   13.01926   12.19901

 3616.37148  955.32643  400.17800  212.67997  132.27331   87.43541   62.60566
   48.08952   38.82735   32.56306   28.09364   24.80205   22.27653   20.27833
   18.63684   17.25031   16.04980   14.98871   14.03583   13.17180   12.38463

 3917.49242  919.78526  378.67421  200.04465  122.29664   81.51699   58.79174
   45.53345   37.05589   31.30604   27.19043   24.15304   21.81872   19.96905
   18.44710   17.15752   16.03586   15.03918   14.13889   13.31765   12.56526

 4212.80908  889.59325  360.05262  188.02012  111.88661   74.98161   54.82955
   42.93635   35.27073   30.05434   26.29201   23.49747   21.35159   19.64485
   18.24071   17.05043   16.01080   15.08085   14.23491   13.45783   12.74095

 4494.71271  852.03242  339.65802  175.07701  103.06056   69.20972   51.27125
   40.56582   33.59872   28.84914   25.41301   22.84909   20.88131   19.31036
   18.01779   16.92448   15.96745   15.10522   14.31508   13.58313   12.90281

 4768.71494  820.47001  318.37360  161.38119   95.15527   64.28555   48.10093
   38.41381   32.09042   27.74149   24.58714   22.22238   20.41951   18.98886
   17.81517   16.81888   15.94289   15.14812   14.41310   13.72562   13.08013

  242.50207  225.35510  142.02745   85.20114   57.14966   42.15123   33.31600
   27.62727   23.76157   20.99127   18.93142   17.35749   16.12206   15.13311
   14.32095   13.63623   13.03937   12.50051   11.99819   11.51955   11.05933

  254.20235  231.11780  136.98562   80.69811   54.08513   40.07409   31.82238
   26.53442   22.92824   20.34653   18.42892   16.96324   15.81864   14.90733
   14.16622   13.54487   13.00550   12.51620   12.05594   11.61181   11.17887

  265.61171  235.15691  131.20907   76.22641   51.15032   38.08859   30.41046
   25.50587   22.15052   19.74385   17.95883   16.59611   15.54035   14.70686
   14.03561   13.47800   12.99458   12.55380   12.13350   11.72159   11.31362

  276.76437  237.47330  124.97379   71.86971   48.36760   36.20415   29.10392
   24.54424   21.41785   19.18054   17.51943   16.26018   15.29136   14.53569
   13.93350   13.43846   13.00928   12.61479   12.23186   11.84927   11.46377

  287.69226  237.68639  118.47204   67.68075   45.74946   34.46531   27.88635
   23.64072   20.74335   18.65721   17.11619   15.95750   15.07436   14.39582
   13.86280   13.42799   13.05098   12.69967   12.35144   11.99525   11.62912

  298.42466  236.17831  111.89573   63.69785   43.30148   32.87448   26.73996
   22.80638   20.10928   18.17425   16.75192   15.69172   14.89446   14.29099
   13.82426   13.44825   13.12020   12.80921   12.49209   12.15900   11.80963

  308.98798  232.56833  105.37695   59.94031   41.02319   31.35296   25.70288
   22.04123   19.52782   17.73546   16.42661   15.46462   14.75169   14.22215
   13.82001   13.49879   13.21705   12.94219   12.65315   12.33977   12.00397

  319.40580  227.42926   99.01171   56.42260   38.91101   29.97792   24.71735
   21.32442   18.99281   17.34084   16.14531   15.27790   14.64729   14.18934
   13.84874   13.57972   13.34038   13.09875   12.83340   12.53661   12.21139

  329.69900  220.57092   92.88399   53.14492   36.95911   28.70771   23.82030
   20.66561   18.51599   16.99392   15.90782   15.13320   14.58366   14.19341
   13.91112   13.68998   13.48942   13.27666   13.03188   12.74832   12.43090

  339.88588  212.75678   87.05374   50.10506   35.15784   27.49915   22.99092
   20.07416   18.07862   16.69440   15.71648   15.03213   14.55826   14.23346
   14.00513   13.82807   13.66263   13.47503   13.24710   12.97370   12.66118

  349.98241  203.79653   81.54505   47.29368   33.49906   26.42744   22.22752
   19.52858   17.69839   16.44193   15.57107   14.97282   14.57226   14.30673
   14.12944   13.99302   13.85801   13.69233   13.47758   13.21087   12.90107

  360.00245  194.07203   76.38194   44.70141   31.97309   25.41011   21.54728
   19.04843   17.37465   16.23993   15.46882   14.95512   14.62186   14.41321
   14.28200   14.18222   14.07399   13.92600   13.72127   13.45889   13.14922

  369.95794  183.96506   71.56450   42.31652   30.57025   24.52170   20.91021
   18.61213   17.10083   16.08428   15.41206   14.97545   14.70581   14.55019
   14.46082   14.39366   14.30860   14.17483   13.97723   13.71607   13.40446

  379.85920  173.66662   67.09280   40.12486   29.28234   23.68037   20.35277
   18.24964   16.87630   15.97841   15.39803   15.03368   14.82278   14.71491
   14.66318   14.62528   14.55985   14.43725   14.24338   13.98121   13.66580

  389.71507  163.36765   62.95497   38.11469   28.10040   22.92168   19.83519
   17.92921   16.70669   15.91823   15.42406   15.12625   14.97029   14.90558
   14.88845   14.87501   14.82572   14.71103   14.51849   14.25329   13.93241

  399.53306  153.25904   59.15102   36.27185   27.01773   22.20366   19.41309
   17.68087   16.59144   15.90341   15.48491   15.25135   15.14458   15.11950
   15.13186   15.14086   15.10468   14.99494   14.80130   14.53086   14.20291

  409.31955  143.53165   55.64519   34.57986   26.02687   21.60171   19.02799
   17.47304   16.51810   15.92999   15.58303   15.40545   15.34318   15.35303
   15.39352   15.42077   15.39428   15.28708   15.09030   14.81313   14.47685

  419.07984  134.18557   52.42558   33.03164   25.12407   21.03583   18.71720
   17.32586   16.49243   15.99016   15.71330   15.58680   15.56487   15.60624
   15.66999   15.71265   15.69379   15.58650   15.38446   15.09882   14.75337

  428.81836  125.22084   49.48025   31.61305   24.30486   20.54342   18.46079
   17.23888   16.50811   16.08759   15.87060   15.79192   15.80595   15.87552
   15.95999   16.01557   16.00118   15.89197   15.68278   15.38759   15.03199

  438.50540  116.82827   46.77342   30.31231   23.56552   20.16216   18.25798
   17.19111   16.56495   16.21837   16.05235   16.01557   16.06274   16.15728
   16.26018   16.32533   16.31407   16.20093   15.98321   15.67753   15.31097

  448.28242  108.81714   44.30511   29.12941   22.91051   19.81545   18.12873
   17.18305   16.65722   16.37892   16.26381   16.26309   16.33901   16.45614
   16.57397   16.64727   16.63659   16.51730   16.28973   15.97257   15.59428

  457.92754  101.56895   42.03952   28.04313   22.32864   19.53791   18.03284
   17.22384   16.77814   16.56123   16.48959   16.52050   16.62365   16.76032
   16.89120   16.97095   16.95892   16.83268   16.59423   16.26474   15.87464

  467.10282   94.51148   39.94090   27.03463   21.80572   19.28451   17.98653
   17.28113   16.91482   16.74959   16.71437   16.77732   16.90172   17.05616
   17.19891   17.28265   17.26872   17.13454   16.88528   16.54339   16.14159

  475.42122   88.21699   37.97344   26.08741   21.32535   19.08776   17.94857
   17.35321   17.04806   16.92822   16.92775   17.01417   17.15953   17.32813
   17.47981   17.56757   17.55057   17.40900   17.14892   16.79583   16.38333

  482.51181   82.11323   36.10140   25.18497   20.87407   18.90293   17.89738
   17.39759   17.15902   17.07769   17.10940   17.21715   17.37966   17.56074
   17.72093   17.81084   17.79117   17.64274   17.37363   17.01081   16.58903

  488.03701   76.39097   34.31283   24.31318   20.43772   18.68499   17.84920
   17.42303   17.23462   17.19365   17.24629   17.37382   17.54825   17.74106
   17.90693   17.99963   17.97747   17.82368   17.54773   17.17743   16.74865

  491.89763   70.85945   32.59583   23.47202   20.01182   18.51054   17.76508
   17.41878   17.27461   17.26065   17.33334   17.47541   17.66286   17.86354
   18.03502   18.12901   18.10604   17.94907   17.66811   17.29290   16.85940

  494.00424   65.90016   30.95037   22.65680   19.58964   18.25918   17.66284
   17.37388   17.26650   17.27470   17.36791   17.52009   17.71587   17.92354
   18.09958   18.19632   18.17347   18.01514   17.73230   17.35447   16.91872

  494.36598   61.13163   29.36455   21.86986   19.16746   18.04704   17.52259
   17.28789   17.21003   17.23944   17.34478   17.50781   17.70972   17.92188
   18.10120   18.20033   18.17966   18.02248   17.73989   17.36251   16.92689

  493.17181   56.74458   27.85028   21.11356   18.74825   17.75768   17.34510
   17.16123   17.11758   17.15880   17.27413   17.44375   17.64935   17.86496
   18.04748   18.14901   18.13076   17.97701   17.69761   17.32292   16.88951

   16.32497   16.30790   16.32092   16.32888   16.33937   16.37887   16.39561
   16.45327   16.54482   16.67135   16.83775   17.04390   17.27877   17.52019
   17.73134   17.86529   17.88163   17.76162   17.51318   17.16475   16.75262


 constant for Brems sampling table at high energies
  1.500000000000000E-003  150.000000000000  2.17609125905568  50  5.000000000000000E-002  .100000000000000  11914923.5208642  5.000000000000000E-002  .200000000000000  1.00000000000000  17  .000000000000000  .668740304976422  16  15  4.458268699842813E-002  50  7.500000000000000E-002  709726.888442220  4.00000000000000

LiqH2   
Brems total X-sec. table with C.S+LPM upto E=  11914923.5208643 GeV
  150.000  29.0490
  188.839  29.1208
  237.734  29.3321
  299.289  29.4369
  376.783  29.4355
  474.342  29.3446
  597.161  29.1662
  751.781  28.9130
  946.436  28.5930
  1191.49  28.2202
  1500.00  27.8089
  1888.39  27.3537
  2377.34  26.8678
  2992.89  26.3571
  3767.83  25.8224
  4743.42  25.2765
  5971.61  24.7151
  7517.81  24.1426
  9464.36  23.5587
  11914.9  22.9693
  15000.0  22.3814
  18883.9  21.7827
  23773.4  21.1807
  29928.9  20.5766
  37678.3  19.9710
  47434.2  19.3613
  59716.1  18.7526
  75178.1  18.1441
  94643.6  17.5362
  119149.  16.9271
  150000.  16.3173
  188839.  15.7138
  237734.  15.1073
  299289.  14.5025
  376783.  13.9046
  474342.  13.3066
  597161.  12.7128
  751781.  12.1241
  946436.  11.5443
  1.191492E+06  10.9690
  1.500000E+06  10.4035
  1.888388E+06  9.84603
  2.377340E+06  9.29904
  2.992894E+06  8.76529
  3.767830E+06  8.24333
  4.743417E+06  7.73674
  5.971608E+06  7.24447
  7.517809E+06  6.76964
  9.464360E+06  6.31195
  1.191492E+07  5.87179

Brems with LPM sampling tbl for small Eg
     .27360     .21226     .16619     .13106     .10402     .08310     .06685
     .05421     .04436     .03671     .03084     .02641     .02301     .01709
     .02139     .01644     .01509

     .27629     .21468     .16835     .13298     .10574     .08464     .06824
     .05547     .04553     .03780     .03189     .02742     .02399     .01799
     .02260     .01779     .01587

     .27874     .21701     .17054     .13501     .10760     .08634     .06979
     .05690     .04685     .03903     .03307     .02857     .02508     .01898
     .02393     .01928     .01673

     .28157     .21972     .17308     .13736     .10976     .08831     .07159
     .05855     .04837     .04046     .03447     .02987     .02631     .02008
     .02540     .02093     .01767

     .28470     .22271     .17589     .13996     .11215     .09050     .07359
     .06038     .05006     .04205     .03597     .03132     .02768     .02130
     .02702     .02273     .01870

     .28820     .22608     .17905     .14290     .11485     .09297     .07585
     .06245     .05195     .04384     .03767     .03292     .02919     .02620
     .02233     .01851     .01982

     .29201     .22973     .18250     .14610     .11780     .09568     .07833
     .06472     .05405     .04582     .03953     .03467     .03083     .02774
     .02385     .02020     .02104

     .29612     .23369     .18624     .14959     .12102     .09863     .08104
     .06722     .05635     .04798     .04158     .03656     .03261     .02941
     .02549     .02201     .02235

     .30044     .23786     .19019     .15328     .12444     .10178     .08394
     .06989     .05882     .05031     .04376     .03863     .03454     .03122
     .02725     .02395     .02376

     .30504     .24231     .19441     .15724     .12812     .10518     .08707
     .07278     .06151     .05284     .04613     .04085     .03662     .03316
     .02914     .02603     .02527

     .30983     .24696     .19884     .16140     .13200     .10877     .09040
     .07586     .06440     .05556     .04868     .04324     .03886     .03526
     .03117     .02823     .02690

     .31487     .25187     .20353     .16582     .13612     .11261     .09395
     .07914     .06748     .05846     .05141     .04580     .04126     .03752
     .03332     .03057     .02864

     .32014     .25700     .20845     .17047     .14048     .11667     .09774
     .08261     .07076     .06156     .05432     .04853     .04383     .03993
     .03562     .03305     .03049

     .32550     .26225     .21349     .17526     .14498     .12088     .10167
     .08632     .07430     .06489     .05745     .05148     .04660     .04253
     .03904     .03664     .03248

     .33114     .26779     .21883     .18033     .14977     .12538     .10588
     .09024     .07801     .06840     .06076     .05459     .04953     .04529
     .04164     .03940     .03460

     .33697     .27352     .22437     .18563     .15479     .13011     .11033
     .09448     .08204     .07213     .06428     .05792     .05266     .04824
     .04441     .02878     .03686

     .34288     .27936     .23003     .19105     .15994     .13498     .11493
     .09881     .08615     .07613     .06806     .06148     .05602     .05140
     .04739     .03107     .03927

     .34905     .28546     .23597     .19676     .16539     .14015     .11979
     .10345     .09057     .08033     .07203     .06524     .05957     .05476
     .05055     .03348     .04183

     .35538     .29175     .24211     .20268     .17105     .14555     .12491
     .10836     .09524     .08478     .07625     .06923     .06336     .05834
     .05393     .03603     .04455

     .36187     .29822     .24844     .20882     .17695     .15118     .13024
     .11352     .10019     .08948     .08073     .07348     .06738     .06215
     .05752     .03873     .04744

     .36853     .30487     .25498     .21517     .18307     .15706     .13589
     .11897     .10541     .09446     .08546     .07798     .07165     .06620
     .06136     .04159     .05052

     .37539     .31175     .26176     .22177     .18946     .16321     .14182
     .12469     .11094     .09970     .09046     .08274     .07618     .07050
     .06543     .05520     .05377

     .38240     .31879     .26872     .22859     .19608     .16957     .14798
     .13071     .11669     .10524     .09575     .08778     .08098     .07507
     .06976     .05907     .05723

     .38960     .32605     .27593     .23566     .20297     .17619     .15448
     .13699     .12277     .11107     .10133     .09311     .08607     .07991
     .07436     .06316     .06090

     .39700     .33353     .28337     .24299     .21014     .18308     .16126
     .14359     .12915     .11721     .10721     .09874     .09144     .08504
     .07924     .06748     .06478

     .40448     .34112     .29096     .25049     .21750     .19037     .16845
     .15058     .13590     .12371     .11345     .10472     .09716     .09049
     .08443     .07207     .06890

     .41226     .34903     .29888     .25834     .22524     .19785     .17587
     .15783     .14293     .13049     .11998     .11098     .10317     .09624
     .08991     .08370     .07324

     .42024     .35717     .30706     .26649     .23324     .20593     .18361
     .16541     .15029     .13761     .12684     .11758     .10950     .10231
     .09571     .08919     .07783

     .42828     .36540     .31536     .27477     .24141     .21400     .19184
     .17344     .15810     .14516     .13412     .12459     .11624     .10877
     .10188     .09504     .08270

     .43663     .37398     .32404     .28346     .25001     .22276     .20030
     .18175     .16619     .15302     .14172     .13192     .12329     .11555
     .10838     .10120     .08782

     .44519     .38279     .33297     .29244     .25895     .23170     .20912
     .19043     .17467     .16125     .14970     .13963     .13073     .12270
     .11523     .10772     .09321

     .45385     .39173     .34207     .30155     .26817     .24091     .21845
     .19959     .18361     .16995     .15813     .14778     .13860     .13028
     .12251     .11464     .09893

     .46281     .40101     .35155     .31101     .27786     .25061     .22807
     .20907     .19289     .17899     .16692     .15630     .14684     .13823
     .13015     .12191     .10492

     .47198     .41054     .36131     .32094     .28794     .26073     .23810
     .21896     .20259     .18846     .17613     .16524     .15549     .14659
     .13820     .12959     .11123

     .48142     .42039     .37138     .33121     .29849     .27132     .24862
     .22922     .21266     .19831     .18573     .17458     .16455     .15536
     .14665     .13766     .11785

     .49103     .43042     .38160     .34182     .30927     .28215     .25938
     .23997     .22323     .20865     .19583     .18440     .17409     .16460
     .15556     .14618     .12481

     .50092     .44079     .39223     .35282     .32050     .29352     .27069
     .25110     .23419     .21940     .20633     .19465     .18406     .17427
     .16490     .15513     .13211

     .51104     .45143     .40322     .36425     .33212     .30520     .28233
     .26268     .24560     .23061     .21730     .20536     .19449     .18440
     .17470     .16452     .13975

     .52146     .46224     .41452     .37598     .34409     .31727     .29439
     .27464     .25741     .24223     .22869     .21650     .20536     .19498
     .18495     .17435     .14773

     .53201     .47349     .42653     .38837     .35669     .32993     .30702
     .28718     .26979     .25441     .24064     .22820     .21678     .20610
     .19573     .18471     .15612

     .54299     .48497     .43858     .40086     .36943     .34279     .31990
     .29998     .28247     .26691     .25295     .24026     .22858     .21761
     .20691     .19547     .16482

     .55410     .49655     .45136     .41403     .38282     .35627     .33337
     .31338     .29573     .28000     .26582     .25290     .24096     .22969
     .21866     .20678     .17394

     .56527     .50922     .46412     .42730     .39635     .36994     .34707
     .32704     .30929     .29341     .27904     .26590     .25371     .24216
     .23080     .21850     .18361

     .57713     .52158     .47764     .44122     .41051     .38421     .36137
     .34128     .32342     .30739     .29284     .27948     .26704     .25521
     .24351     .23077     .19430

     .58914     .53498     .49117     .45525     .42482     .39867     .37588
     .35577     .33784     .32168     .30696     .29341     .28074     .26864
     .25663     .24345     .20537

     .60133     .54810     .50543     .46990     .43972     .41370     .39095
     .37082     .35281     .33653     .32165     .30790     .29500     .28264
     .27030     .25669     .21696

     .61437     .56217     .51967     .48465     .45475     .42890     .40624
     .38611     .36805     .35166     .33665     .32273     .30962     .29701
     .28437     .27032     .22894

     .62725     .57599     .53459     .49994     .47032     .44463     .42203
     .40191     .38379     .36732     .35217     .33808     .32477     .31191
     .29896     .28448     .24141

     .64084     .59065     .54982     .51531     .48601     .46051     .43801
     .41792     .39978     .38324     .36798     .35375     .34025     .32717
     .31393     .29902     .25426

     .65432     .60509     .56496     .53118     .50217     .47684     .45444
     .43438     .41623     .39962     .38427     .36989     .35622     .34292
     .32939     .31406     .26759


Brems with LPM smp tbl; (sqrt(v)-sqrt(vmin)/(1-u)
   14.32601   14.31823   14.33110   14.36761   14.39407   14.49283   14.65837
   14.90760   15.22222   15.52877   15.69573   15.60546   15.25038   14.71989
   14.12414   13.54475

   14.44835   14.43896   14.45191   14.48721   14.52336   14.61525   14.78562
   15.03820   15.35747   15.66693   15.83060   15.73315   15.36864   14.82948
   14.22678   13.64267

   14.54130   14.52951   14.54631   14.55373   14.60538   14.71200   14.88190
   15.13836   15.46128   15.77105   15.93310   15.83002   15.45833   14.91254
   14.30468   13.71694

   14.60442   14.58987   14.60861   14.61391   14.67016   14.77643   14.95021
   15.20621   15.53149   15.84250   16.00263   15.89580   15.51921   14.96887
   14.35748   13.76740

   14.64075   14.65024   14.64448   14.66887   14.71804   14.81499   14.98742
   15.24525   15.57117   15.88316   16.04282   15.93363   15.55415   15.00123
   14.38789   13.79640

   14.64584   14.65025   14.65016   14.67001   14.71841   14.81515   14.99061
   15.25214   15.57732   15.88908   16.04864   15.93884   15.55903   15.00582
   14.39214   13.80047

   14.62393   14.62009   14.62752   14.66554   14.70176   14.79571   14.96883
   15.22834   15.55288   15.86416   16.02410   15.91611   15.53795   14.98621
   14.37380   13.78298

   14.57558   14.58992   14.58034   14.60837   14.65319   14.74424   14.91920
   15.17573   15.49896   15.80979   15.97108   15.86584   15.49148   14.94314
   14.33342   13.74437

   14.50610   14.49939   14.51051   14.54672   14.57273   14.67340   14.84472
   15.10112   15.42165   15.73187   15.89444   15.79330   15.42440   14.88111
   14.27519   13.68884

   14.41429   14.40887   14.41803   14.43273   14.49094   14.58309   14.74846
   15.00272   15.31994   15.62840   15.79288   15.69764   15.33573   14.79904
   14.19824   13.61542

   14.30496   14.31835   14.30856   14.31539   14.37763   14.46724   14.63679
   14.88399   15.19902   15.50541   15.67232   15.58344   15.23006   14.70108
   14.10651   13.52795

   14.17797   14.16747   14.18211   14.19470   14.24801   14.33841   14.50340
   14.74841   15.05780   15.36224   15.53188   15.45065   15.10698   14.58718
   13.99972   13.42617

   14.03559   14.04677   14.04056   14.07103   14.10223   14.19667   14.35450
   14.59420   14.90050   15.20226   15.37475   15.30149   14.96861   14.45910
   13.87980   13.31191

   13.88426   13.89589   13.88768   13.89726   13.95585   14.04208   14.19635
   14.43162   14.73314   15.03198   15.20716   15.14251   14.82130   14.32269
   13.75202   13.19027

   13.71848   13.71483   13.72160   13.72090   13.77818   13.86839   14.02283
   14.25394   14.54972   14.84564   15.02343   14.96812   14.65944   14.17290
   13.61173   13.05682

   13.54308   13.53377   13.54607   13.54268   13.59994   13.68819   13.84003
   14.06619   14.35528   14.64846   14.82895   14.78298   14.48764   14.01390
   13.46297   12.91526

   13.36294   13.35272   13.36678   13.36372   13.42149   13.50792   13.65416
   13.87342   14.15699   14.44561   14.62856   14.59267   14.31065   13.85006
   13.30973   12.76968

   13.17290   13.17166   13.17616   13.18252   13.22711   13.31486   13.45598
   13.66897   13.94677   14.23209   14.41755   14.39150   14.12331   13.67666
   13.14762   12.61573

   12.97706   12.99060   12.97988   13.00022   13.03240   13.11540   13.25169
   13.45960   13.73069   14.01169   14.19941   14.18325   13.92972   13.49730
   12.98007   12.45668

   12.77636   12.77937   12.77983   12.81718   12.83748   12.90959   13.04131
   13.24532   13.50981   13.78645   13.97597   13.96954   13.73053   13.31285
   12.80782   12.29325

   12.57152   12.56813   12.57412   12.58519   12.62709   12.69748   12.82795
   13.02613   13.28413   13.55639   13.74724   13.75074   13.52654   13.12392
   12.63133   12.12599

   12.36197   12.35690   12.36464   12.40030   12.41640   12.48529   12.61153
   12.80199   13.05363   13.32084   13.51375   13.52654   13.31691   12.92981
   12.45019   11.95447

   12.15019   12.14567   12.15327   12.16721   12.20570   12.26684   12.39217
   12.57636   12.82036   13.08310   13.27674   13.29917   13.10437   12.73282
   12.26641   11.78056

   11.93499   11.93443   11.93813   11.93339   11.97958   12.04840   12.16671
   12.34756   12.58436   12.84187   13.03632   13.06736   12.88753   12.53184
   12.07897   11.60329

   11.71713   11.72320   11.71922   11.74666   11.76838   11.82983   11.94127
   12.11547   12.34559   12.59713   12.79247   12.83214   12.66714   12.32744
   11.88843   11.42324

   11.50012   11.51197   11.50219   11.51248   11.54219   11.60516   11.71604
   11.88361   12.10712   12.35415   12.54912   12.59753   12.44680   12.12292
   11.69780   11.24325

   11.27840   11.27056   11.28140   11.27758   11.31579   11.38045   11.48778
   11.64854   11.86488   12.10572   12.30065   12.35671   12.22058   11.91291
   11.50220   11.05876

   11.05484   11.05932   11.05683   11.08976   11.08911   11.15567   11.25649
   11.41026   11.61993   11.85584   12.04968   12.11348   11.99168   11.70025
   11.30411   10.87198

   10.83381   10.84809   10.83605   10.85487   10.87796   10.93102   11.02533
   11.17725   11.37925   11.60821   11.80139   11.87238   11.76432   11.48895
   11.10734   10.68658

   10.60870   10.60668   10.61149   10.61925   10.65141   10.70010   10.79431
   10.93766   11.13388   11.35658   11.54850   11.62647   11.53173   11.27268
   10.90595   10.49704

   10.38291   10.39545   10.38504   10.38327   10.42477   10.46919   10.56029
   10.69827   10.88779   11.10474   11.29488   11.37873   11.29747   11.05462
   10.70295   10.30607

   10.15918   10.15404   10.16049   10.14768   10.19827   10.24466   10.32943
   10.46239   10.64394   10.85521   11.04352   11.13287   11.06440   10.83740
   10.50083   10.11599

    9.93274    9.94281    9.93405    9.95953    9.97161   10.01383   10.09561
   10.22335   10.39740   10.60228   10.78889   10.88347   10.82767   10.61649
   10.29505    9.92276

    9.70612    9.70140    9.70762    9.72358    9.74505    9.78310    9.86190
    9.98449   10.15216   10.35042   10.53393   10.63320   10.58943   10.39411
   10.08809    9.72844

    9.47805    9.49017    9.47930    9.48728    9.50321    9.55242    9.62525
    9.74247    9.90424   10.09649   10.27703   10.38098   10.34894   10.16909
    9.87856    9.53187

    9.25171    9.24876    9.25287    9.25135    9.27671    9.32179    9.39175
    9.50565    9.65955    9.84482   10.02239   10.13000   10.10892    9.94461
    9.66942    9.33577

    9.02415    9.03753    9.02644    9.01545    9.05023    9.09123    9.15837
    9.26564    9.41418    9.59233    9.76663    9.87734    9.86685    9.71757
    9.45795    9.13755

    8.79697    8.79612    8.79813    8.82697    8.82360    8.86065    8.92505
    9.02747    9.16805    9.34092    9.51102    9.62418    9.62406    9.48958
    9.24548    8.93852

    8.56892    8.55471    8.56982    8.59071    8.59706    8.63016    8.69185
    8.78781    8.92223    9.08802    9.25475    9.36998    9.37947    9.25952
    9.03084    8.73758

    8.34365    8.34348    8.34529    8.35521    8.37078    8.39982    8.45880
    8.55170    8.68068    8.83932    9.00156    9.11855    9.13671    9.03088
    8.81748    8.53783

    8.11558    8.10208    8.11699    8.11897    8.14430    8.16944    8.22580
    8.31239    8.43542    8.58727    8.74519    8.86344    8.89008    8.79792
    8.60003    8.33439

    7.89054    7.89085    7.89246    7.88349    7.91808    7.93921    7.99296
    8.07662    8.19342    8.33943    8.49277    8.61139    8.64552    8.56680
    8.38409    8.13228

    7.66324    7.64944    7.66417    7.64728    7.67648    7.70898    7.76019
    7.83934    7.94971    8.08949    8.23799    8.35655    8.39798    8.33209
    8.16436    7.93320

    7.43894    7.43821    7.43964    7.45960    7.45026    7.48510    7.53056
    7.60554    7.71020    7.84305    7.98669    8.10478    8.15252    8.09888
    7.94605    7.72592

    7.21296    7.22698    7.21324    7.22379    7.22401    7.25500    7.29800
    7.36861    7.46903    7.59518    7.73349    7.85085    7.90455    7.86265
    7.72453    7.52031

    6.98988    6.98557    6.99061    6.98873    7.01318    7.03126    7.07163
    7.13679    7.23102    7.35144    7.48417    7.60025    7.65887    7.62809
    7.50577    7.31581

    6.76578    6.77434    6.76610    6.75331    6.78709    6.80132    6.84233
    6.90352    6.99233    7.10623    7.23377    7.34808    7.41112    7.39120
    7.28457    7.10150

    6.54446    6.53294    6.54537    6.56641    6.56122    6.57775    6.61619
    6.67371    6.75682    6.86515    6.98683    7.09924    7.16590    7.15583
    7.06400    6.89431

    6.32284    6.32171    6.32275    6.33138    6.33531    6.35421    6.39012
    6.44405    6.52157    6.62383    6.74046    6.84997    6.91966    6.91875
    6.84075    6.67999

    6.10399    6.11048    6.10390    6.09712    6.10966    6.13706    6.16721
    6.21621    6.29050    6.38597    6.49709    6.60373    6.67597    6.68640
    6.61850    6.47209


 constant for Pair  sampling table at low energies
  1.100000000000000E-003 -2.95860731484178  8.000000000000000E-003  150.000000000000  406324.582338902  51  51  5.000000000000000E-002  1.00000000000000  21  4.750000000000000E-002  .102693971477949  .000000000000000  .472870804501588  21  2.364354022507940E-002  .102693971477949  4.531974657430230E-002

LiqH2   
total pair x-sec. at low E
  1.100000E-03  3.337637E-05
  1.393435E-03  1.899413E-03
  1.765146E-03  8.102180E-03
  2.236014E-03  1.897382E-02
  2.832491E-03  3.401669E-02
  3.588083E-03  5.256444E-02
  4.545237E-03  7.399046E-02
  5.757719E-03  9.775610E-02
  7.293642E-03  .123410
  9.239286E-03  .150694
  1.170395E-02  .179410
  1.482608E-02  .208858
  1.878107E-02  .238876
  2.379109E-02  .269338
  3.013757E-02  .300143
  3.817704E-02  .331202
  4.836111E-02  .362431
  6.126186E-02  .393733
  7.760401E-02  .424976
  9.830558E-02  .455971
  .124529  .486464
  .157749  .516140
  .199830  .544653
  .253136  .571663
  .320662  .596879
  .406202  .620087
  .514560  .641160
  .651823  .660059
  .825703  .676820
  1.04597  .691538
  1.32499  .704349
  1.67844  .715417
  2.12618  .724914
  2.69336  .733017
  3.41183  .739893
  4.32197  .745704
  5.47489  .750594
  6.93537  .754695
  8.78544  .758124
  11.1290  .760983
  14.0978  .763360
  17.8585  .765333
  22.6224  .766966
  28.6572  .768316
  36.3017  .769429
  45.9855  .770346
  58.2526  .771100
  73.7920  .771720
  93.4767  .772228
  118.412  .772645
  150.000  .772986

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

     .12312     .11928     .11659     .11454     .11286     .11148     .11032
     .10931     .10846     .10770     .10706     .10649     .10602     .10561
     .10525     .10496     .10475     .10455     .10442     .10438     .10435

     .19441     .18834     .18411     .18087     .17825     .17608     .17426
     .17269     .17135     .17018     .16917     .16831     .16756     .16692
     .16638     .16593     .16559     .16529     .16510     .16507     .16497

     .25071     .24295     .23758     .23347     .23017     .22746     .22517
     .22321     .22154     .22010     .21886     .21777     .21685     .21608
     .21541     .21486     .21442     .21409     .21387     .21374     .21368

     .29527     .28630     .28015     .27548     .27175     .26869     .26613
     .26397     .26211     .26052     .25916     .25798     .25698     .25612
     .25541     .25484     .25433     .25396     .25374     .25348     .25353

     .33063     .32088     .31426     .30930     .30537     .30218     .29952
     .29727     .29538     .29376     .29238     .29119     .29017     .28932
     .28861     .28802     .28755     .28723     .28697     .28677     .28676

     .35880     .34864     .34185     .33681     .33288     .32969     .32708
     .32491     .32306     .32150     .32019     .31907     .31812     .31732
     .31669     .31615     .31573     .31539     .31515     .31506     .31498

     .38138     .37112     .36439     .35945     .35565     .35262     .35015
     .34811     .34642     .34501     .34381     .34282     .34201     .34130
     .34074     .34027     .33993     .33963     .33942     .33932     .33930

     .39957     .38948     .38298     .37827     .37471     .37192     .36968
     .36786     .36636     .36516     .36413     .36331     .36262     .36206
     .36161     .36126     .36097     .36077     .36065     .36054     .36051

     .41428     .40464     .39863     .39440     .39128     .38887     .38702
     .38556     .38438     .38345     .38271     .38214     .38167     .38132
     .38105     .38083     .38065     .38053     .38045     .38049     .38041

     .42687     .41786     .41233     .40852     .40576     .40369     .40214
     .40096     .40004     .39936     .39886     .39848     .39819     .39801
     .39787     .39778     .39773     .39768     .39767     .39763     .39765

     .43716     .42880     .42376     .42036     .41796     .41623     .41498
     .41407     .41344     .41298     .41270     .41251     .41242     .41240
     .41239     .41244     .41247     .41253     .41256     .41253     .41258

     .44563     .43791     .43335     .43036     .42833     .42691     .42597
     .42532     .42494     .42472     .42464     .42466     .42476     .42488
     .42502     .42518     .42532     .42544     .42553     .42564     .42561

     .45268     .44558     .44149     .43890     .43719     .43610     .43541
     .43504     .43491     .43491     .43505     .43526     .43551     .43578
     .43606     .43633     .43658     .43679     .43691     .43695     .43704

     .45857     .45208     .44844     .44621     .44485     .44403     .44363
     .44349     .44357     .44381     .44414     .44452     .44495     .44538
     .44580     .44617     .44649     .44677     .44693     .44713     .44713

     .46354     .45763     .45441     .45254     .45148     .45094     .45079
     .45091     .45120     .45164     .45216     .45273     .45330     .45387
     .45441     .45490     .45530     .45564     .45587     .45606     .45611

     .46775     .46240     .45958     .45805     .45728     .45701     .45711
     .45744     .45796     .45857     .45928     .46001     .46074     .46144
     .46210     .46270     .46320     .46363     .46393     .46405     .46415

     .47136     .46651     .46409     .46288     .46240     .46239     .46271
     .46326     .46399     .46481     .46568     .46656     .46745     .46830
     .46907     .46976     .47036     .47084     .47117     .47137     .47146

     .47447     .47013     .46807     .46717     .46696     .46722     .46778
     .46855     .46945     .47046     .47152     .47258     .47360     .47459
     .47547     .47629     .47696     .47749     .47793     .47813     .47823

     .47717     .47333     .47163     .47104     .47111     .47160     .47241
     .47341     .47453     .47573     .47697     .47820     .47938     .48051
     .48155     .48246     .48322     .48381     .48428     .48456     .48465

     .47957     .47618     .47487     .47459     .47494     .47572     .47675
     .47799     .47935     .48076     .48220     .48361     .48496     .48624
     .48739     .48843     .48931     .48998     .49053     .49088     .49091

     .48169     .47881     .47787     .47794     .47859     .47964     .48096
     .48245     .48404     .48568     .48733     .48894     .49047     .49192
     .49322     .49439     .49535     .49616     .49673     .49701     .49716

     .48363     .48123     .48071     .48113     .48212     .48347     .48506
     .48683     .48867     .49057     .49244     .49426     .49600     .49762
     .49909     .50037     .50146     .50232     .50300     .50328     .50349

     .48541     .48354     .48344     .48423     .48558     .48726     .48918
     .49122     .49334     .49548     .49760     .49965     .50158     .50339
     .50501     .50645     .50765     .50863     .50931     .50975     .50990

     .48707     .48574     .48609     .48730     .48900     .49103     .49326
     .49558     .49800     .50039     .50276     .50504     .50719     .50920
     .51099     .51258     .51392     .51498     .51574     .51626     .51637

     .48863     .48787     .48868     .49030     .49237     .49473     .49730
     .49993     .50261     .50527     .50789     .51040     .51278     .51496
     .51692     .51866     .52012     .52126     .52210     .52270     .52281

     .49012     .48994     .49122     .49324     .49568     .49839     .50125
     .50419     .50715     .51009     .51292     .51566     .51824     .52060
     .52275     .52461     .52620     .52747     .52839     .52891     .52912

     .49153     .49191     .49365     .49609     .49889     .50192     .50508
     .50830     .51153     .51471     .51778     .52074     .52351     .52606
     .52837     .53038     .53208     .53341     .53438     .53506     .53520

     .49287     .49382     .49601     .49880     .50194     .50529     .50873
     .51222     .51568     .51910     .52240     .52554     .52849     .53123
     .53368     .53582     .53763     .53909     .54009     .54070     .54097

     .49413     .49562     .49824     .50139     .50484     .50846     .51218
     .51591     .51959     .52321     .52672     .53005     .53318     .53607
     .53866     .54093     .54282     .54437     .54545     .54613     .54636

     .49533     .49732     .50033     .50381     .50756     .51143     .51536
     .51930     .52323     .52702     .53072     .53421     .53749     .54051
     .54324     .54563     .54763     .54924     .55038     .55106     .55132

     .49645     .49891     .50226     .50605     .51003     .51413     .51829
     .52242     .52652     .53049     .53435     .53800     .54143     .54459
     .54742     .54990     .55197     .55366     .55488     .55564     .55584

     .49749     .50037     .50406     .50808     .51230     .51661     .52095
     .52526     .52951     .53365     .53763     .54143     .54497     .54824
     .55118     .55376     .55590     .55764     .55889     .55957     .55990

     .49844     .50173     .50568     .50992     .51434     .51883     .52332
     .52778     .53218     .53645     .54056     .54446     .54813     .55148
     .55453     .55718     .55940     .56118     .56247     .56332     .56352

     .49933     .50293     .50713     .51159     .51616     .52080     .52544
     .53004     .53455     .53892     .54315     .54716     .55091     .55437
     .55749     .56018     .56250     .56433     .56565     .56641     .56671

     .50014     .50403     .50843     .51306     .51778     .52254     .52731
     .53200     .53662     .54111     .54542     .54952     .55335     .55688
     .56007     .56285     .56518     .56704     .56842     .56918     .56950

     .50085     .50500     .50958     .51435     .51919     .52407     .52895
     .53374     .53844     .54301     .54741     .55158     .55549     .55907
     .56232     .56513     .56750     .56942     .57077     .57162     .57193

     .50150     .50587     .51059     .51548     .52044     .52541     .53034
     .53524     .54001     .54467     .54912     .55337     .55732     .56097
     .56426     .56711     .56953     .57148     .57288     .57373     .57402

     .50208     .50663     .51148     .51646     .52152     .52657     .53158
     .53654     .54137     .54608     .55059     .55488     .55890     .56259
     .56591     .56883     .57127     .57321     .57467     .57551     .57581

     .50259     .50730     .51225     .51732     .52244     .52756     .53262
     .53764     .54253     .54729     .55186     .55620     .56026     .56398
     .56735     .57029     .57277     .57472     .57613     .57697     .57734

     .50303     .50787     .51292     .51805     .52323     .52841     .53353
     .53859     .54353     .54833     .55293     .55730     .56139     .56517
     .56854     .57152     .57403     .57602     .57742     .57827     .57864

     .50342     .50836     .51350     .51868     .52392     .52912     .53429
     .53939     .54437     .54921     .55383     .55823     .56236     .56616
     .56956     .57256     .57508     .57710     .57856     .57940     .57974

     .50377     .50879     .51398     .51922     .52449     .52975     .53494
     .54006     .54508     .54995     .55461     .55904     .56317     .56699
     .57043     .57343     .57597     .57796     .57945     .58037     .58067

     .50406     .50915     .51440     .51968     .52497     .53027     .53550
     .54064     .54567     .55057     .55526     .55971     .56386     .56771
     .57115     .57418     .57670     .57877     .58025     .58118     .58144

     .50430     .50948     .51474     .52006     .52540     .53070     .53596
     .54113     .54618     .55110     .55581     .56027     .56445     .56829
     .57177     .57479     .57735     .57936     .58090     .58183     .58209

     .50452     .50973     .51505     .52038     .52574     .53107     .53633
     .54153     .54661     .55151     .55626     .56073     .56493     .56880
     .57226     .57531     .57787     .57990     .58139     .58231     .58263

     .50471     .50996     .51530     .52067     .52603     .53137     .53665
     .54186     .54696     .55189     .55661     .56111     .56534     .56921
     .57269     .57573     .57832     .58039     .58187     .58280     .58308

     .50486     .51014     .51550     .52090     .52627     .53163     .53693
     .54216     .54723     .55219     .55694     .56144     .56566     .56954
     .57304     .57608     .57868     .58071     .58220     .58312     .58346

     .50500     .51031     .51568     .52109     .52647     .53185     .53716
     .54238     .54748     .55245     .55720     .56170     .56594     .56983
     .57334     .57641     .57896     .58103     .58252     .58344     .58377

     .50510     .51045     .51582     .52124     .52663     .53202     .53735
     .54258     .54769     .55266     .55742     .56194     .56617     .57007
     .57358     .57663     .57921     .58130     .58276     .58376     .58403

     .50520     .51055     .51595     .52137     .52678     .53217     .53748
     .54273     .54785     .55283     .55758     .56212     .56635     .57025
     .57377     .57683     .57941     .58146     .58300     .58393     .58424


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

     .53765     .53764     .53763     .53761     .53759     .53753     .53747
     .53737     .53726     .53711     .53693     .53672     .53648     .53621
     .53589     .53553     .53513     .53468     .53420     .53365     .53306

     .54416     .54415     .54414     .54412     .54409     .54402     .54395
     .54383     .54370     .54353     .54332     .54308     .54280     .54246
     .54210     .54167     .54121     .54068     .54010     .53948     .53878

     .55481     .55481     .55480     .55477     .55472     .55465     .55455
     .55441     .55424     .55403     .55377     .55346     .55312     .55271
     .55225     .55172     .55114     .55049     .54978     .54899     .54812

     .56931     .56930     .56929     .56925     .56919     .56910     .56897
     .56880     .56859     .56831     .56799     .56760     .56716     .56665
     .56606     .56540     .56467     .56385     .56294     .56194     .56084

     .58726     .58725     .58723     .58719     .58711     .58699     .58683
     .58661     .58633     .58600     .58559     .58511     .58454     .58391
     .58317     .58234     .58140     .58037     .57923     .57797     .57660

     .60818     .60817     .60815     .60810     .60800     .60785     .60765
     .60738     .60704     .60662     .60611     .60551     .60482     .60402
     .60310     .60207     .60092     .59964     .59822     .59666     .59495

     .63154     .63154     .63151     .63144     .63132     .63114     .63090
     .63057     .63016     .62964     .62903     .62830     .62745     .62647
     .62536     .62411     .62271     .62114     .61941     .61752     .61544

     .65677     .65677     .65673     .65665     .65651     .65630     .65600
     .65562     .65512     .65451     .65377     .65290     .65189     .65073
     .64940     .64791     .64623     .64437     .64231     .64004     .63756

     .68329     .68328     .68324     .68315     .68298     .68273     .68239
     .68193     .68136     .68064     .67978     .67876     .67758     .67621
     .67466     .67291     .67095     .66877     .66637     .66372     .66082

     .71051     .71050     .71045     .71034     .71015     .70987     .70947
     .70894     .70828     .70745     .70646     .70530     .70393     .70237
     .70059     .69858     .69633     .69382     .69106     .68801     .68469

     .73787     .73787     .73781     .73769     .73748     .73716     .73671
     .73611     .73536     .73443     .73331     .73199     .73045     .72868
     .72666     .72438     .72184     .71901     .71589     .71245     .70869

     .76489     .76488     .76482     .76468     .76445     .76409     .76359
     .76292     .76208     .76105     .75980     .75833     .75661     .75464
     .75240     .74986     .74703     .74389     .74041     .73659     .73241

     .79111     .79109     .79103     .79088     .79062     .79022     .78967
     .78894     .78802     .78688     .78552     .78389     .78201     .77984
     .77737     .77459     .77148     .76802     .76421     .76002     .75543

     .81615     .81613     .81607     .81590     .81562     .81519     .81459
     .81380     .81280     .81156     .81007     .80831     .80626     .80391
     .80124     .79822     .79485     .79111     .78698     .78243     .77747

     .83971     .83969     .83962     .83945     .83915     .83868     .83804
     .83719     .83611     .83478     .83317     .83129     .82909     .82657
     .82370     .82047     .81687     .81285     .80843     .80358     .79827

     .86157     .86155     .86147     .86129     .86097     .86047     .85979
     .85888     .85773     .85632     .85462     .85261     .85029     .84760
     .84456     .84114     .83731     .83307     .82839     .82325     .81764

     .88157     .88155     .88147     .88127     .88094     .88041     .87969
     .87874     .87752     .87605     .87425     .87214     .86969     .86688
     .86368     .86009     .85609     .85164     .84674     .84136     .83548

     .89964     .89962     .89953     .89933     .89897     .89842     .89767
     .89668     .89541     .89386     .89200     .88980     .88724     .88431
     .88100     .87726     .87311     .86848     .86340     .85782     .85174

     .91575     .91573     .91564     .91542     .91506     .91450     .91371
     .91268     .91138     .90977     .90784     .90557     .90293     .89991
     .89649     .89265     .88837     .88363     .87840     .87268     .86643

     .92994     .92992     .92983     .92960     .92922     .92865     .92785
     .92678     .92545     .92379     .92181     .91949     .91680     .91372
     .91021     .90630     .90193     .89710     .89178     .88595     .87959

     .94229     .94228     .94227     .94220     .94202     .94166     .94103
     .94005     .93873     .93700     .93490     .93240     .92951     .92623
     .92255     .91846     .91392     .90896     .90352     .89759     .89114

     .95291     .95290     .95289     .95282     .95262     .95224     .95157
     .95059     .94924     .94750     .94540     .94291     .94005     .93680
     .93316     .92911     .92464     .91970     .91430     .90840     .90197

     .96193     .96193     .96191     .96184     .96163     .96122     .96053
     .95952     .95815     .95642     .95433     .95188     .94906     .94586
     .94228     .93829     .93387     .92901     .92367     .91782     .91143

     .96952     .96951     .96950     .96941     .96920     .96877     .96805
     .96702     .96565     .96393     .96186     .95946     .95670     .95358
     .95007     .94616     .94183     .93705     .93179     .92600     .91968

     .97583     .97582     .97580     .97572     .97548     .97503     .97429
     .97325     .97188     .97018     .96818     .96583     .96314     .96011
     .95669     .95288     .94865     .94396     .93879     .93310     .92685

     .98101     .98100     .98098     .98088     .98065     .98016     .97941
     .97837     .97702     .97538     .97342     .97116     .96857     .96562
     .96231     .95860     .95447     .94989     .94482     .93924     .93309

     .98522     .98521     .98520     .98509     .98483     .98434     .98358
     .98254     .98124     .97966     .97778     .97559     .97310     .97025
     .96704     .96346     .95943     .95497     .95001     .94453     .93848

     .98860     .98860     .98858     .98846     .98819     .98769     .98694
     .98594     .98467     .98315     .98135     .97926     .97686     .97413
     .97105     .96756     .96366     .95931     .95446     .94910     .94316

     .99130     .99129     .99126     .99115     .99087     .99036     .98962
     .98866     .98747     .98601     .98430     .98231     .98001     .97739
     .97441     .97105     .96727     .96303     .95830     .95304     .94721

     .99342     .99341     .99338     .99326     .99297     .99247     .99177
     .99085     .98970     .98833     .98671     .98481     .98263     .98011
     .97725     .97400     .97034     .96621     .96161     .95647     .95075

     .99507     .99506     .99503     .99491     .99460     .99412     .99346
     .99258     .99151     .99022     .98868     .98688     .98480     .98240
     .97965     .97651     .97295     .96897     .96446     .95945     .95384

     .99634     .99633     .99630     .99616     .99587     .99542     .99478
     .99397     .99297     .99175     .99030     .98860     .98662     .98432
     .98168     .97865     .97523     .97135     .96697     .96207     .95658

     .99731     .99730     .99727     .99713     .99684     .99642     .99583
     .99507     .99414     .99300     .99164     .99003     .98815     .98596
     .98343     .98051     .97720     .97344     .96919     .96441     .95905

     .99804     .99803     .99800     .99786     .99759     .99719     .99665
     .99595     .99508     .99403     .99276     .99124     .98944     .98736
     .98494     .98215     .97896     .97532     .97120     .96655     .96134

     .99858     .99858     .99855     .99841     .99817     .99779     .99730
     .99666     .99585     .99488     .99368     .99225     .99056     .98858
     .98627     .98359     .98053     .97703     .97304     .96854     .96347

     .99899     .99898     .99895     .99881     .99858     .99825     .99781
     .99721     .99648     .99557     .99446     .99312     .99152     .98965
     .98745     .98489     .98196     .97859     .97477     .97041     .96551

     .99928     .99928     .99925     .99912     .99891     .99862     .99821
     .99768     .99701     .99615     .99512     .99387     .99236     .99059
     .98850     .98608     .98328     .98005     .97637     .97218     .96745

     .99950     .99949     .99946     .99935     .99915     .99890     .99853
     .99804     .99742     .99664     .99568     .99451     .99310     .99143
     .98946     .98716     .98449     .98141     .97787     .97385     .96928

     .99965     .99964     .99961     .99951     .99935     .99911     .99877
     .99835     .99777     .99705     .99617     .99507     .99376     .99219
     .99033     .98815     .98560     .98266     .97929     .97543     .97102

     .99976     .99975     .99972     .99963     .99949     .99928     .99899
     .99858     .99807     .99740     .99658     .99556     .99434     .99286
     .99110     .98903     .98662     .98381     .98058     .97687     .97262

     .99984     .99983     .99980     .99972     .99960     .99942     .99914
     .99879     .99832     .99771     .99695     .99600     .99484     .99345
     .99181     .98984     .98755     .98486     .98177     .97818     .97405

     .99989     .99988     .99985     .99979     .99968     .99952     .99927
     .99895     .99852     .99796     .99724     .99637     .99529     .99399
     .99242     .99056     .98838     .98580     .98281     .97933     .97532

     .99993     .99992     .99990     .99984     .99974     .99960     .99938
     .99908     .99868     .99818     .99752     .99670     .99569     .99446
     .99298     .99121     .98910     .98661     .98372     .98033     .97641

     .99995     .99994     .99993     .99988     .99979     .99965     .99947
     .99920     .99883     .99836     .99775     .99698     .99604     .99486
     .99346     .99175     .98972     .98733     .98449     .98118     .97732

     .99997     .99996     .99994     .99990     .99982     .99972     .99953
     .99929     .99895     .99853     .99795     .99723     .99633     .99521
     .99386     .99222     .99024     .98791     .98513     .98186     .97807

     .99998     .99997     .99996     .99993     .99986     .99976     .99959
     .99938     .99906     .99866     .99813     .99744     .99658     .99552
     .99420     .99260     .99068     .98838     .98564     .98242     .97867

     .99999     .99998     .99996     .99993     .99989     .99978     .99964
     .99943     .99915     .99877     .99827     .99761     .99679     .99577
     .99449     .99291     .99102     .98875     .98605     .98286     .97914

     .99999     .99998     .99998     .99995     .99989     .99982     .99968
     .99950     .99922     .99887     .99838     .99777     .99696     .99596
     .99470     .99316     .99129     .98904     .98637     .98320     .97949

     .99999     .99999     .99999     .99996     .99991     .99983     .99971
     .99954     .99929     .99895     .99849     .99788     .99710     .99611
     .99488     .99335     .99150     .98928     .98661     .98345     .97975

    1.00000     .99999     .99999     .99999     .99996     .99993     .99984
     .99970     .99950     .99920     .99878     .99822     .99749     .99653
     .99534     .99384     .99202     .98983     .98719     .98406     .98038


constant used in Pair cre. sampling with LPM
  406324.582338902  25  2.500000000000000E-002  .100000000000000  .000000000000000  1.00000000000000  41  5.60887309761853  102064120.516589

LiqH2   
Pair total x-sec. with LPM
  406325.  1.54893
  511532.  1.54785
  643981.  1.54785
  810724.  1.54785
  1.020641E+06  1.54785
  1.284911E+06  1.54785
  1.617607E+06  1.54785
  2.036447E+06  1.54785
  2.563735E+06  1.54785
  3.227551E+06  1.54582
  4.063246E+06  1.54539
  5.115323E+06  1.54430
  6.439811E+06  1.54138
  8.107242E+06  1.53647
  1.020641E+07  1.52637
  1.284911E+07  1.51191
  1.617607E+07  1.49033
  2.036447E+07  1.46298
  2.563735E+07  1.42843
  3.227551E+07  1.38639
  4.063246E+07  1.33827
  5.115324E+07  1.28415
  6.439811E+07  1.22497
  8.107242E+07  1.16191
  1.020641E+08  1.09612

Pair table with LPM
    1.00000     .99026     .98038     .97038     .96023     .94996     .93954
     .92898     .91828     .90743     .89643     .88528     .87399     .86253
     .85091     .83915     .82723     .81515     .80291     .79050     .77795
     .76524     .75238     .73935     .72618     .71286     .69941     .68581
     .67208     .65822     .64425     .63016     .61597     .60169     .58732
     .57288     .55838     .54383     .52924     .51463     .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     .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     .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     .99023     .98032     .97030     .96014     .94984     .93940
     .92881     .91810     .90723     .89622     .88506     .87376     .86230
     .85069     .83892     .82700     .81492     .80270     .79031     .77776
     .76507     .75222     .73923     .72609     .71280     .69938     .68583
     .67214     .65827     .64434     .63018     .61604     .60182     .58729
     .57291     .55847     .54397     .52913     .51457     .50000

    1.00000     .99023     .98034     .97030     .96014     .94985     .93941
     .92884     .91811     .90726     .89625     .88509     .87379     .86234
     .85073     .83897     .82705     .81498     .80276     .79037     .77784
     .76510     .75216     .73918     .72588     .71260     .69919     .68563
     .67172     .65792     .64399     .62996     .61583     .60128     .58697
     .57259     .55815     .54366     .52913     .51457     .50000

    1.00000     .99024     .98034     .97033     .96017     .94988     .93946
     .92889     .91817     .90733     .89632     .88519     .87389     .86245
     .85084     .83909     .82716     .81503     .80280     .79032     .77779
     .76495     .75212     .73915     .72603     .71276     .69910     .68556
     .67188     .65808     .64415     .63012     .61561     .60138     .58706
     .57267     .55822     .54371     .52916     .51459     .50000

    1.00000     .99026     .98038     .97038     .96024     .94997     .93957
     .92902     .91834     .90751     .89654     .88541     .87415     .86271
     .85108     .83927     .82740     .81524     .80305     .79072     .77802
     .76539     .75258     .73963     .72651     .71325     .69957     .68602
     .67234     .65851     .64457     .63051     .61634     .60207     .58771
     .57288     .55839     .54384     .52925     .51463     .50000

    1.00000     .99029     .98045     .97048     .96038     .95014     .93978
     .92927     .91862     .90783     .89687     .88575     .87446     .86298
     .85146     .83979     .82781     .81583     .80369     .79137     .77891
     .76606     .75327     .74031     .72719     .71391     .70047     .68689
     .67286     .65899     .64500     .63089     .61666     .60231     .58788
     .57337     .55878     .54414     .52945     .51474     .50000

    1.00000     .99035     .98058     .97068     .96064     .95048     .94019
     .92976     .91917     .90836     .89753     .88647     .87533     .86393
     .85249     .84089     .82912     .81704     .80494     .79267     .78024
     .76762     .75483     .74163     .72850     .71521     .70176     .68814
     .67437     .66044     .64637     .63218     .61786     .60342     .58853
     .57392     .55922     .54448     .52967     .51485     .50000

    1.00000     .99044     .98077     .97095     .96102     .95097     .94077
     .93041     .91991     .90926     .89845     .88758     .87655     .86524
     .85389     .84237     .83067     .81879     .80674     .79432     .78190
     .76929     .75651     .74353     .73037     .71704     .70352     .68982
     .67569     .66168     .64752     .63321     .61877     .60421     .58953
     .57476     .55992     .54499     .53003     .51503     .50000

    1.00000     .99058     .98104     .97138     .96160     .95168     .94160
     .93139     .92110     .91062     .90005     .88921     .87832     .86726
     .85600     .84443     .83283     .82102     .80903     .79684     .78445
     .77184     .75905     .74585     .73267     .71929     .70572     .69196
     .67802     .66390     .64962     .63517     .62059     .60586     .59101
     .57607     .56102     .54591     .53074     .51522     .50000

    1.00000     .99076     .98139     .97192     .96232     .95255     .94270
     .93269     .92260     .91227     .90186     .89129     .88053     .86948
     .85836     .84704     .83550     .82377     .81182     .79949     .78713
     .77454     .76174     .74872     .73549     .72203     .70837     .69451
     .68044     .66617     .65173     .63711     .62208     .60717     .59211
     .57695     .56168     .54634     .53093     .51548     .50000

    1.00000     .99097     .98183     .97259     .96320     .95371     .94408
     .93430     .92443     .91439     .90408     .89368     .88309     .87229
     .86129     .85006     .83851     .82685     .81496     .80285     .79050
     .77792     .76510     .75203     .73874     .72521     .71144     .69726
     .68306     .66865     .65404     .63923     .62425     .60910     .59381
     .57838     .56285     .54721     .53152     .51577     .50000

    1.00000     .99123     .98238     .97340     .96430     .95510     .94573
     .93629     .92664     .91677     .90676     .89655     .88615     .87540
     .86456     .85346     .84214     .83057     .81875     .80669     .79436
     .78179     .76894     .75571     .74236     .72876     .71490     .70080
     .68645     .67187     .65707     .64205     .62683     .61143     .59587
     .58015     .56431     .54837     .53235     .51628     .50000

    1.00000     .99155     .98299     .97431     .96555     .95666     .94764
     .93841     .92904     .91947     .90969     .89960     .88938     .87891
     .86822     .85726     .84605     .83456     .82281     .81068     .79839
     .78582     .77297     .75985     .74643     .73274     .71877     .70452
     .69001     .67524     .66021     .64495     .62947     .61377     .59776
     .58173     .56556     .54927     .53289     .51646     .50000

    1.00000     .99189     .98368     .97536     .96696     .95843     .94968
     .94079     .93169     .92233     .91279     .90301     .89298     .88270
     .87214     .86132     .85014     .83877     .82711     .81515     .80289
     .79034     .77747     .76431     .75083     .73704     .72295     .70855
     .69387     .67878     .66352     .64801     .63225     .61627     .60007
     .58369     .56715     .55048     .53370     .51686     .50000

    1.00000     .99227     .98444     .97652     .96848     .96027     .95190
     .94332     .93446     .92542     .91613     .90658     .89675     .88667
     .87621     .86556     .85459     .84333     .83176     .81988     .80766
     .79511     .78225     .76904     .75550     .74153     .72732     .71278
     .69792     .68274     .66725     .65147     .63540     .61909     .60254
     .58577     .56884     .55178     .53459     .51730     .50000

    1.00000     .99267     .98525     .97773     .97007     .96224     .95420
     .94590     .93739     .92861     .91956     .91026     .90060     .89071
     .88052     .87002     .85920     .84805     .83657     .82475     .81258
     .80000     .78713     .77389     .76030     .74633     .73201     .71731
     .70226     .68687     .67112     .65506     .63870     .62203     .60512
     .58798     .57064     .55313     .53550     .51776     .50000

    1.00000     .99308     .98608     .97898     .97172     .96424     .95650
     .94855     .94033     .93183     .92301     .91395     .90458     .89489
     .88488     .87455     .86387     .85284     .84141     .82967     .81757
     .80508     .79221     .77895     .76530     .75125     .73680     .72197
     .70674     .69111     .67513     .65879     .64211     .62509     .60780
     .59026     .57248     .55453     .53643     .51824     .50000


