function M=fpfpp(A,EE)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%               Linear interpolation of tabuled values of                 %
%                 atomic resonance amplitude, f' and f"                   %
% Input:                                                                  %
%   A = element symbol, e.g. 'Se'                                         %
%   EE = energy values (m-by-n array) (eV)                                %
% Output  M = [E  f'  f" sga]                                             %
%              |  |   |   |                                               %
%              |  |   |   absorption cross-section (barn)                 %
%              |  |   imaginary term (electron number)                    %
%              |  real term (electron number)                             %
%              energy (eV)                                                %
% Routine available for download at http://xraybook.if.usp.br/            %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
s=size(EE); NofE=s(1)*s(2);
 if (EE(NofE)<500), EE = 1000*EE; end;
  aux = 2000 * 2.818 * 12398.5;
   W = dispersion(atomnm(A));
    NofW = size(W,1);
   if (NofW == 1) 
%     disp(['   Element ' A ' unknown!!!']);
     M = [0 0 0];
     return;
   end;
  EE(EE<=0) = 0.1;
 M = zeros(NofE,4);
for ne = 1:NofE
  E = EE(ne);
   nw = 1; ctr = 0;
    E2 = 0; fa1 = W(nw,2); fa2 = W(nw,3); 
    while (nw <= NofW)
      E1 = E2; x = fa1; y = fa2;
       E2 = W(nw,1); fa1 = W(nw,2); fa2 = W(nw,3); 
       if (E2 > E)
        fa1 = (fa1 - x) * (E - E1) / (E2 - E1) + x;
         fa2 = (fa2 - y) * (E - E1) / (E2 - E1) + y;
        nw = NofW; ctr = 1;
       end;
      nw = nw + 1;
    end;
   if (ctr==0), fa1 = W(nw-1,2); fa2 = W(nw-1,3); end;
  M(ne,:) = [E fa1 fa2 aux*fa2/E];
end;

function nm=atomnm(A)
M = [
'Li     1  1024';
'Be  1025  2048';
'B   2049  3072';
'C   3073  4096';
'N   4097  5120';
'O   5121  6144';
'F   6145  7168';
'Ne  7169  8192';
'Na  8193  9216';
'Mg  9217 10240';
'Al 10241 11264';
'Si 11265 12288';
'P  12289 13312';
'S  13313 14336';
'Cl 14337 15360';
'Ar 15361 16384';
'K  16385 17408';
'Ca 17409 18432';
'Sc 18433 19456';
'Ti 19457 20480';
'V  20481 21504';
'Cr 21505 22528';
'Mn 22529 23552';
'Fe 23553 24576';
'Co 24577 25600';
'Ni 25601 26624';
'Cu 26625 27648';
'Zn 27649 28672';
'Ga 28673 29696';
'Ge 29697 30720';
'As 30721 31744';
'Se 31745 32768';
'Br 32769 33792';
'Kr 33793 34816';
'Rb 34817 35840';
'Sr 35841 36864';
'Y  36865 37888';
'Zr 37889 38912';
'Nb 38913 39936';
'Mo 39937 40960';
'Tc 40961 41984';
'Ru 41985 43008';
'Rh 43009 44032';
'Pd 44033 45056';
'Ag 45057 46080';
'Cd 46081 47104';
'In 47105 48128';
'Sn 48129 49152';
'Sb 49153 50176';
'Te 50177 51200';
'I  51201 52224';
'Xe 52225 53248';
'Cs 53249 54272';
'Ba 54273 55296';
'La 55297 56320';
'Ce 56321 57344';
'Pr 57345 58368';
'Nd 58369 59392';
'Pm 59393 60416';
'Sm 60417 61440';
'Eu 61441 62464';
'Gd 62465 63488';
'Tb 63489 64512';
'Dy 64513 65536';
'Ho 65537 66560';
'Er 66561 67584';
'Tm 67585 68608';
'Yb 68609 69632';
'Lu 69633 70656';
'Hf 70657 71680';
'Ta 71681 72704';
'W  72705 73728';
'Re 73729 74752';
'Os 74753 75776';
'Ir 75777 76800';
'Pt 76801 77824';
'Au 77825 78848';
'Hg 78849 79872';
'Tl 79873 80896';
'Pb 80897 81920';
'Bi 81921 82944';
'Po 82945 83968';
'At 83969 84992';
'Rn 84993 86016';
'Fr 86017 87040';
'Ra 87041 88064';
'Ac 88065 89088';
'Th 89089 90112';
'Pa 90113 91136';
'U  91137 92160';
'Np 92161 93184';
'Pu 93185 94208';
'Am 94209 95232';
'Cm 95233 96256';
'Bk 96257 97280';
'Cf 97281 98304'];
if (size(A,2)==1), A = [A ' ']; end;
nm = [1 1];
n = 1;
while (n<=96)
    if (A(1)==M(n,1) && A(2)==M(n,2))
        nm = sscanf(M(n,3:14),'%f');
        n = 96;
    end;
    n = n + 1;
end;

function Z=dispersion(nm)
M = [
  1.00416E+03  5.02684E-02  3.40962E-02;
  1.00833E+03  4.99543E-02  3.38066E-02;
  1.01252E+03  4.96419E-02  3.35193E-02;
  1.01673E+03  4.93312E-02  3.32343E-02;
  1.02096E+03  4.90223E-02  3.29516E-02;
  1.02521E+03  4.87150E-02  3.26713E-02;
  1.02947E+03  4.91063E-02  3.23918E-02;
  1.03375E+03  4.87943E-02  3.21117E-02;
  1.03805E+03  4.84839E-02  3.18339E-02;
  1.04236E+03  4.81752E-02  3.15585E-02;
  1.04670E+03  4.78683E-02  3.12854E-02;
  1.05105E+03  4.75630E-02  3.10146E-02;
  1.05542E+03  4.72595E-02  3.07460E-02;
  1.05980E+03  4.69576E-02  3.04797E-02;
  1.06421E+03  4.66575E-02  3.02157E-02;
  1.06864E+03  4.63590E-02  2.99539E-02;
  1.07308E+03  4.60622E-02  2.96943E-02;
  1.07754E+03  4.57671E-02  2.94368E-02;
  1.08202E+03  4.54737E-02  2.91816E-02;
  1.08652E+03  4.51819E-02  2.89285E-02;
  1.09104E+03  4.48918E-02  2.86775E-02;
  1.09557E+03  4.46033E-02  2.84286E-02;
  1.10013E+03  4.43164E-02  2.81819E-02;
  1.10470E+03  4.40312E-02  2.79372E-02;
  1.10929E+03  4.37476E-02  2.76946E-02;
  1.11391E+03  4.34657E-02  2.74540E-02;
  1.11854E+03  4.31853E-02  2.72155E-02;
  1.12319E+03  4.29066E-02  2.69790E-02;
  1.12786E+03  4.26294E-02  2.67444E-02;
  1.13255E+03  4.23538E-02  2.65119E-02;
  1.13725E+03  4.20799E-02  2.62813E-02;
  1.14198E+03  4.18075E-02  2.60527E-02;
  1.14673E+03  4.15366E-02  2.58260E-02;
  1.15150E+03  4.12674E-02  2.56012E-02;
  1.15628E+03  4.09996E-02  2.53783E-02;
  1.16109E+03  4.07335E-02  2.51573E-02;
  1.16592E+03  4.04689E-02  2.49382E-02;
  1.17077E+03  4.02058E-02  2.47210E-02;
  1.17563E+03  3.99442E-02  2.45055E-02;
  1.18052E+03  3.96842E-02  2.42919E-02;
  1.18543E+03  3.94256E-02  2.40801E-02;
  1.19036E+03  3.91686E-02  2.38701E-02;
  1.19531E+03  3.89131E-02  2.36619E-02;
  1.20028E+03  3.86591E-02  2.34555E-02;
  1.20527E+03  3.84065E-02  2.32508E-02;
  1.21028E+03  3.81555E-02  2.30478E-02;
  1.21531E+03  3.79059E-02  2.28466E-02;
  1.22036E+03  3.76578E-02  2.26470E-02;
  1.22544E+03  3.74111E-02  2.24492E-02;
  1.23053E+03  3.71659E-02  2.22530E-02;
  1.23565E+03  3.69222E-02  2.20585E-02;
  1.24078E+03  3.66798E-02  2.18657E-02;
  1.24594E+03  3.64389E-02  2.16745E-02;
  1.25112E+03  3.61995E-02  2.14849E-02;
  1.25632E+03  3.59614E-02  2.12969E-02;
  1.26155E+03  3.57248E-02  2.11106E-02;
  1.26679E+03  3.54896E-02  2.09258E-02;
  1.27206E+03  3.52557E-02  2.07426E-02;
  1.27735E+03  3.50233E-02  2.05609E-02;
  1.28266E+03  3.47923E-02  2.03808E-02;
  1.28799E+03  3.45626E-02  2.02023E-02;
  1.29335E+03  3.43343E-02  2.00252E-02;
  1.29872E+03  3.41074E-02  1.98497E-02;
  1.30412E+03  3.38818E-02  1.96756E-02;
  1.30955E+03  3.36575E-02  1.95031E-02;
  1.31499E+03  3.34347E-02  1.93320E-02;
  1.32046E+03  3.32131E-02  1.91624E-02;
  1.32595E+03  3.29929E-02  1.89942E-02;
  1.33146E+03  3.27740E-02  1.88275E-02;
  1.33699E+03  3.25565E-02  1.86621E-02;
  1.34255E+03  3.23402E-02  1.84982E-02;
  1.34814E+03  3.21253E-02  1.83357E-02;
  1.35374E+03  3.19116E-02  1.81746E-02;
  1.35937E+03  3.16993E-02  1.80148E-02;
  1.36502E+03  3.14882E-02  1.78565E-02;
  1.37070E+03  3.12784E-02  1.76994E-02;
  1.37639E+03  3.10699E-02  1.75438E-02;
  1.38212E+03  3.08627E-02  1.73894E-02;
  1.38786E+03  3.06567E-02  1.72364E-02;
  1.39363E+03  3.04519E-02  1.70847E-02;
  1.39943E+03  3.02485E-02  1.69342E-02;
  1.40524E+03  3.00462E-02  1.67851E-02;
  1.41109E+03  2.98452E-02  1.66372E-02;
  1.41695E+03  2.96454E-02  1.64907E-02;
  1.42284E+03  2.94469E-02  1.63453E-02;
  1.42876E+03  2.92495E-02  1.62012E-02;
  1.43470E+03  2.90534E-02  1.60584E-02;
  1.44067E+03  2.88585E-02  1.59168E-02;
  1.44665E+03  2.86648E-02  1.57763E-02;
  1.45267E+03  2.84722E-02  1.56371E-02;
  1.45871E+03  2.82809E-02  1.54991E-02;
  1.46477E+03  2.80907E-02  1.53623E-02;
  1.47086E+03  2.79017E-02  1.52266E-02;
  1.47698E+03  2.77139E-02  1.50922E-02;
  1.48312E+03  2.75272E-02  1.49588E-02;
  1.48929E+03  2.73417E-02  1.48266E-02;
  1.49548E+03  2.71573E-02  1.46956E-02;
  1.50169E+03  2.69741E-02  1.45657E-02;
  1.50794E+03  2.67920E-02  1.44369E-02;
  1.51421E+03  2.66111E-02  1.43092E-02;
  1.52050E+03  2.64312E-02  1.41826E-02;
  1.52682E+03  2.62525E-02  1.40571E-02;
  1.53317E+03  2.60749E-02  1.39326E-02;
  1.53955E+03  2.58984E-02  1.38093E-02;
  1.54595E+03  2.57231E-02  1.36870E-02;
  1.55237E+03  2.55488E-02  1.35657E-02;
  1.55883E+03  2.53755E-02  1.34455E-02;
  1.56531E+03  2.52034E-02  1.33264E-02;
  1.57182E+03  2.50324E-02  1.32082E-02;
  1.57835E+03  2.48624E-02  1.30911E-02;
  1.58491E+03  2.46935E-02  1.29750E-02;
  1.59150E+03  2.45257E-02  1.28599E-02;
  1.59812E+03  2.43589E-02  1.27458E-02;
  1.60476E+03  2.41931E-02  1.26327E-02;
  1.61144E+03  2.40284E-02  1.25205E-02;
  1.61814E+03  2.38647E-02  1.24094E-02;
  1.62486E+03  2.37021E-02  1.22991E-02;
  1.63162E+03  2.35405E-02  1.21899E-02;
  1.63840E+03  2.33799E-02  1.20816E-02;
  1.64521E+03  2.32204E-02  1.19742E-02;
  1.65205E+03  2.30618E-02  1.18677E-02;
  1.65892E+03  2.29042E-02  1.17622E-02;
  1.66582E+03  2.27477E-02  1.16576E-02;
  1.67275E+03  2.25921E-02  1.15539E-02;
  1.67970E+03  2.24375E-02  1.14510E-02;
  1.68668E+03  2.22839E-02  1.13491E-02;
  1.69370E+03  2.21313E-02  1.12481E-02;
  1.70074E+03  2.19797E-02  1.11479E-02;
  1.70781E+03  2.18290E-02  1.10486E-02;
  1.71491E+03  2.16793E-02  1.09502E-02;
  1.72204E+03  2.15305E-02  1.08526E-02;
  1.72920E+03  2.13827E-02  1.07558E-02;
  1.73639E+03  2.12358E-02  1.06599E-02;
  1.74361E+03  2.10899E-02  1.05649E-02;
  1.75086E+03  2.09449E-02  1.04706E-02;
  1.75813E+03  2.08008E-02  1.03772E-02;
  1.76544E+03  2.06576E-02  1.02846E-02;
  1.77278E+03  2.05154E-02  1.01928E-02;
  1.78015E+03  2.03741E-02  1.01018E-02;
  1.78756E+03  2.02337E-02  1.00115E-02;
  1.79499E+03  2.00942E-02  9.92211E-03;
  1.80245E+03  1.99555E-02  9.83346E-03;
  1.80994E+03  1.98178E-02  9.74557E-03;
  1.81747E+03  1.96810E-02  9.65845E-03;
  1.82502E+03  1.95450E-02  9.57208E-03;
  1.83261E+03  1.94100E-02  9.48647E-03;
  1.84023E+03  1.92758E-02  9.40160E-03;
  1.84788E+03  1.91424E-02  9.31747E-03;
  1.85557E+03  1.90100E-02  9.23408E-03;
  1.86328E+03  1.88783E-02  9.15141E-03;
  1.87103E+03  1.87476E-02  9.06946E-03;
  1.87881E+03  1.86177E-02  8.98823E-03;
  1.88662E+03  1.84886E-02  8.90770E-03;
  1.89446E+03  1.83604E-02  8.82788E-03;
  1.90234E+03  1.82330E-02  8.74875E-03;
  1.91025E+03  1.81064E-02  8.67031E-03;
  1.91819E+03  1.79806E-02  8.59256E-03;
  1.92616E+03  1.78557E-02  8.51549E-03;
  1.93417E+03  1.77316E-02  8.43909E-03;
  1.94221E+03  1.76083E-02  8.36336E-03;
  1.95029E+03  1.74858E-02  8.28828E-03;
  1.95839E+03  1.73641E-02  8.21387E-03;
  1.96654E+03  1.72432E-02  8.14010E-03;
  1.97471E+03  1.71230E-02  8.06698E-03;
  1.98292E+03  1.70037E-02  7.99450E-03;
  1.99117E+03  1.68851E-02  7.92266E-03;
  1.99945E+03  1.67674E-02  7.85144E-03;
  2.00776E+03  1.66504E-02  7.78085E-03;
  2.01611E+03  1.65341E-02  7.71087E-03;
  2.02449E+03  1.64187E-02  7.64151E-03;
  2.03290E+03  1.63039E-02  7.57275E-03;
  2.04136E+03  1.61900E-02  7.50460E-03;
  2.04984E+03  1.60768E-02  7.43704E-03;
  2.05837E+03  1.59643E-02  7.37008E-03;
  2.06692E+03  1.58526E-02  7.30370E-03;
  2.07552E+03  1.57416E-02  7.23791E-03;
  2.08415E+03  1.56313E-02  7.17269E-03;
  2.09281E+03  1.55218E-02  7.10805E-03;
  2.10151E+03  1.54130E-02  7.04397E-03;
  2.11025E+03  1.53049E-02  6.98045E-03;
  2.11902E+03  1.51975E-02  6.91749E-03;
  2.12783E+03  1.50909E-02  6.85509E-03;
  2.13668E+03  1.49849E-02  6.79323E-03;
  2.14556E+03  1.48796E-02  6.73192E-03;
  2.15448E+03  1.47751E-02  6.67115E-03;
  2.16344E+03  1.46712E-02  6.61091E-03;
  2.17243E+03  1.45680E-02  6.55120E-03;
  2.18147E+03  1.44655E-02  6.49201E-03;
  2.19054E+03  1.43637E-02  6.43335E-03;
  2.19964E+03  1.42626E-02  6.37520E-03;
  2.20879E+03  1.41621E-02  6.31757E-03;
  2.21797E+03  1.40624E-02  6.26044E-03;
  2.22719E+03  1.39632E-02  6.20381E-03;
  2.23645E+03  1.38648E-02  6.14769E-03;
  2.24575E+03  1.37670E-02  6.09206E-03;
  2.25509E+03  1.36698E-02  6.03691E-03;
  2.26446E+03  1.35733E-02  5.98226E-03;
  2.27388E+03  1.34774E-02  5.92809E-03;
  2.28333E+03  1.33822E-02  5.87439E-03;
  2.29282E+03  1.32876E-02  5.82117E-03;
  2.30236E+03  1.31937E-02  5.76842E-03;
  2.31193E+03  1.31003E-02  5.71613E-03;
  2.32154E+03  1.30077E-02  5.66431E-03;
  2.33119E+03  1.29156E-02  5.61294E-03;
  2.34088E+03  1.28241E-02  5.56203E-03;
  2.35062E+03  1.27333E-02  5.51157E-03;
  2.36039E+03  1.26430E-02  5.46155E-03;
  2.37020E+03  1.25534E-02  5.41197E-03;
  2.38006E+03  1.24644E-02  5.36284E-03;
  2.38995E+03  1.23760E-02  5.31413E-03;
  2.39989E+03  1.22881E-02  5.26586E-03;
  2.40987E+03  1.22009E-02  5.21802E-03;
  2.41989E+03  1.21143E-02  5.17060E-03;
  2.42995E+03  1.20288E-02  5.12360E-03;
  2.44005E+03  1.19433E-02  5.07701E-03;
  2.45019E+03  1.18584E-02  5.03084E-03;
  2.46038E+03  1.17740E-02  4.98508E-03;
  2.47061E+03  1.16902E-02  4.93972E-03;
  2.48088E+03  1.16070E-02  4.89476E-03;
  2.49120E+03  1.15244E-02  4.85020E-03;
  2.50155E+03  1.14423E-02  4.80604E-03;
  2.51195E+03  1.13608E-02  4.76227E-03;
  2.52240E+03  1.12798E-02  4.71889E-03;
  2.53288E+03  1.11993E-02  4.67589E-03;
  2.54341E+03  1.11195E-02  4.63328E-03;
  2.55399E+03  1.10401E-02  4.59104E-03;
  2.56461E+03  1.09613E-02  4.54918E-03;
  2.57527E+03  1.08830E-02  4.50769E-03;
  2.58598E+03  1.08053E-02  4.46657E-03;
  2.59673E+03  1.07281E-02  4.42582E-03;
  2.60752E+03  1.06514E-02  4.38542E-03;
  2.61836E+03  1.05753E-02  4.34539E-03;
  2.62925E+03  1.04996E-02  4.30571E-03;
  2.64018E+03  1.04245E-02  4.26639E-03;
  2.65116E+03  1.03499E-02  4.22742E-03;
  2.66218E+03  1.02758E-02  4.18879E-03;
  2.67325E+03  1.02022E-02  4.15051E-03;
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  5.30120E+04 -1.25314E+00  3.39060E+00;
  5.32324E+04 -1.25490E+00  3.36772E+00;
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  5.36759E+04 -1.25861E+00  3.32240E+00;
  5.38991E+04 -1.26058E+00  3.29996E+00;
  5.41232E+04 -1.26261E+00  3.27767E+00;
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  6.07904E+04 -1.34303E+00  2.70918E+00;
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  6.68771E+04 -1.43536E+00  2.31439E+00;
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  6.77147E+04 -1.44876E+00  2.26718E+00;
  6.79963E+04 -1.45329E+00  2.25164E+00;
  6.82790E+04 -1.45785E+00  2.23621E+00;
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  6.91341E+04 -1.47171E+00  2.19053E+00;
  6.94216E+04 -1.47639E+00  2.17551E+00;
  6.97102E+04 -1.48110E+00  2.16058E+00;
  7.00000E+04 -1.48584E+00  2.14575E+00];
Z=M(nm(1):nm(2),:);

