# Routines to calculate the minimax coefficients in order to approximate 1/x as a sum over exponential functions
# 1/x ~ SUM_{i}^{K} w_i EXP(-a_i * x) for x belonging to [1:Rc].
# This module contains coefficients for minimax approximations with 26, 28, 30, 32, 34 points
# that give well-converged GW results
import numpy
[docs]
def get_time_minimax_grid(k, E_range):
# TODO: implement k<=26 grids
assert k > 26, "The grid size %d you choose is not available." % k
return get_exp_minimax_coeff_gw(k, E_range)
[docs]
def get_exp_minimax_coeff_gw(k, E_range):
if k == 26:
E_ratio, aw = get_coeff_26(E_range)
elif k == 28:
E_ratio, aw = get_coeff_28(E_range)
elif k == 30:
E_ratio, aw = get_coeff_30(E_range)
elif k == 32:
E_ratio, aw = get_coeff_32(E_range)
elif k == 34:
E_ratio, aw = get_coeff_34(E_range)
aw = rescale_grid(aw, E_ratio)
tau = aw[:k]
tau_weight = aw[k:]
return tau, tau_weight
[docs]
def rescale_grid(aw, E_ratio):
aw = numpy.asarray(aw)
E_ratio = E_ratio / 1.5 if E_ratio > 1.5 else 1.0
aw = aw * E_ratio
return aw
[docs]
def get_coeff_26(E_range):
E_ratio = 1.0
if (E_range < 799.0):
E_ratio = 799.0 / E_range
aw = [
0.00037867004555797054,
0.002019373143542281,
0.005074452374668418,
0.009741339051894624,
0.016351249099763064,
0.025426574118427834,
0.03775841037254848,
0.05450081932003549,
0.0772810957375601,
0.1083363446608876,
0.15069589349866513,
0.20843076717336742,
0.2869911650766578,
0.3936564974164155,
0.5381309695975518,
0.7333307052011886,
0.996427988952117,
1.3502505778649674,
1.8251937089224979,
2.4619239536701665,
3.3154239654767634,
4.461579856601731,
6.009262672635442,
8.12630074937428,
11.10929348730981,
15.660501844751538,
0.0009745069197489692,
0.002323920525926464,
0.003818499918990434,
0.005569525222864092,
0.007736056032946723,
0.01054486610207425,
0.014309337959120037,
0.01944447015531593,
0.026485944451580964,
0.03612533116765179,
0.04926670257709911,
0.06710398765236568,
0.09122022393749045,
0.12371484118454482,
0.16736960998240946,
0.2258689406847251,
0.30409900038431836,
0.40856816694415354,
0.548030961075663,
0.7344894715293502,
0.9849728438705977,
1.3251021306723128,
1.7972852200464182,
2.4831111234607426,
3.582848552118199,
5.8876320817174905]
elif (E_range < 995.0):
aw = [
0.00031416617596844365,
0.0016768070133771967,
0.004220387402167522,
0.008122019548232636,
0.013681535061623657,
0.021375962641606915,
0.03193242611639194,
0.04641604327774391,
0.0663338368572065,
0.09376694799993701,
0.13155072067060036,
0.18352265415559924,
0.2548586347835214,
0.3525227140309385,
0.4858648853075939,
0.667414665262307,
0.9139380450657599,
1.2478576632771592,
1.699195061182984,
2.3083135493129188,
3.13000622971369,
4.240119346476375,
5.747638276053859,
7.820581475731412,
10.755506760817696,
15.2531099085639,
0.0008086633399478686,
0.001931716707111731,
0.0031843549489835176,
0.0046679761695975755,
0.006529332077378777,
0.008979243990088065,
0.012309502604654843,
0.016906748893981475,
0.023272740862285972,
0.03206195264016037,
0.04413963056111703,
0.060659468387992695,
0.08316331669118938,
0.11371010407957528,
0.15504510373245767,
0.21082547573489732,
0.28592663287586667,
0.38687165073350616,
0.5224647206101295,
0.7047999539903935,
0.951040871895601,
1.286968657510818,
1.7551267580277088,
2.437087428172129,
3.5325565753903243,
5.829332987897013]
elif (E_range < 1293.0):
aw = [
0.000251216262630506,
0.0013422657589387847,
0.0033852831378795366,
0.006535679555855439,
0.01105946790435755,
0.017384205344456737,
0.02616631610050564,
0.03837171615696803,
0.05537294469791371,
0.07907682374899021,
0.11210158563747868,
0.15802208108125124,
0.22170328658555793,
0.3097484547351596,
0.43109811316492785,
0.5978298541062674,
0.826228906983008,
1.1382318360717252,
1.5634041077266412,
2.1417299191833186,
2.9277541939220253,
3.9972537939524453,
5.459336924183542,
7.482255655971381,
10.362568049094785,
14.79927594838438,
0.0006467895131307655,
0.0015483789662149572,
0.002562990408244027,
0.00378128864955077,
0.005336413195947385,
0.0074211270754708444,
0.010302498712647285,
0.014334977955021215,
0.01998237358756267,
0.027857715884000284,
0.038782119259036095,
0.05386231670249176,
0.07459076970770032,
0.10297648694866778,
0.1417181535853474,
0.19443583384059848,
0.26598602063677856,
0.36290208001606944,
0.4940399248668749,
0.671597172994337,
0.9128949281590978,
1.2439090969479831,
1.7073582868867894,
2.3848234540233704,
3.4754029453297375,
5.763153512206444]
elif (E_range < 1738.0):
aw = [
0.0001950376405774879,
0.0010434591619187578,
0.002638226324824606,
0.005113292156951265,
0.00870086598207974,
0.013778342596377403,
0.020929407226154117,
0.031017048599119232,
0.04527407877688829,
0.06542623021788685,
0.09386550782858209,
0.1338911807639374,
0.19003887760085253,
0.26852546690556994,
0.3778478282417773,
0.5295878007623821,
0.739496104873784,
1.0289606432203449,
1.427022553455354,
1.9732190338166054,
2.721788596346289,
3.7484019634398744,
5.162286381612833,
7.131961441982249,
9.954041146838616,
14.32582187195048,
0.0005022997712497699,
0.0012056339745159519,
0.0020057022650528562,
0.0029823455742529125,
0.004254672143777001,
0.0059963576674781395,
0.008448134528374854,
0.011930608474038368,
0.016868224194481772,
0.023830776674747995,
0.03359223660591877,
0.04720772204797841,
0.06611395904656978,
0.09226211932358148,
0.12829508657243463,
0.17778587596291995,
0.24556239855995798,
0.3381606409098896,
0.4644850568708377,
0.6368412465900805,
0.8727231844202037,
1.198329166055601,
1.6565902038491545,
2.329130996306286,
3.414441737018883,
5.692646250049292]
elif (E_range < 2238.0):
aw = [
0.0001570075292014777,
0.0008410019818081912,
0.002131222620982682,
0.004145569234358363,
0.007090677510918224,
0.011305441203226727,
0.01731697219552165,
0.02590771238094241,
0.03820108916428952,
0.05578097500511556,
0.08086136666211902,
0.11652297811189155,
0.16703767866605654,
0.23830959694579532,
0.33847251734047956,
0.47869779524697986,
0.6742880172162485,
0.9461646148413084,
1.3229154365464835,
1.8436824667954244,
2.5624225632785795,
3.5546935048363073,
4.929807210724086,
6.856512184015644,
9.631510529999963,
13.950799086937636,
0.0004044673162152666,
0.0009731515874605558,
0.0016264516115000137,
0.002435950210582391,
0.0035098078378292706,
0.005006471432500407,
0.0071456103103081205,
0.010221155980366915,
0.01462678603467543,
0.02089809034158199,
0.02977080559865047,
0.042257136734592034,
0.059746455952240894,
0.08413972088086426,
0.11803003373030124,
0.1649465354635964,
0.22968730801733273,
0.31878354856943114,
0.44117315496449167,
0.6092463295611383,
0.8406397450171417,
1.161742484167732,
1.6156774111835495,
2.2841323787971173,
3.36513821401701,
5.635684641787822]
elif (E_range < 3009.0):
aw = [
0.00012173433282636892,
0.000653044843078349,
0.0016597094198001826,
0.0032432122902587715,
0.005583731099072486,
0.00897974690437299,
0.01389829106398585,
0.021035914001762628,
0.03139940878203811,
0.046421111007702805,
0.06812376578216424,
0.09935124887637425,
0.1440867725430818,
0.20788864079466032,
0.29848482929563186,
0.42658280937440796,
0.6069727081348725,
0.8600354677167223,
1.213825493528422,
1.7070100456167858,
2.393195963336712,
3.3477843441213753,
4.680165709088339,
6.5593534066075065,
9.282192058087176,
13.54332387201712,
0.00031370730222591084,
0.0007570695990484558,
0.0012727251500342805,
0.0019236429401252328,
0.0028062999069873792,
0.004062578033501044,
0.00588929507373728,
0.00855186255429553,
0.012411138722817702,
0.017965594962442332,
0.025908461038187995,
0.03720320806718786,
0.05318444551258281,
0.0756939715032581,
0.10726485539108421,
0.1513713746489183,
0.21277116226058032,
0.297982246389678,
0.41597262011480124,
0.5792223633874778,
0.8055284041136077,
1.1215023110944804,
1.5705011278690364,
2.234313406989394,
3.310497107984999,
5.57261913216792]
elif (E_range < 4377.0):
aw = [
8.814790587980884e-05,
0.0004738555483452858,
0.001209162224838196,
0.0023779784718090265,
0.004131730232456246,
0.006724209366814066,
0.010555208090639503,
0.01622487926307075,
0.02460909648355756,
0.036969426022926015,
0.05511124918766332,
0.08160627715945637,
0.12010201314867164,
0.17574961207193285,
0.2557933011845474,
0.37038042948632577,
0.5336738618256365,
0.7653829566132899,
1.092887558492255,
1.5542408605150586,
2.2025803308040364,
3.113074354623969,
4.395181735531908,
6.218242520601409,
8.87933263258288,
13.071612343557268,
0.0002272629071152242,
0.0005507552663901378,
0.000933441836691016,
0.001428839311231769,
0.002120237386026644,
0.0031304749854564546,
0.0046303259129662575,
0.006853192947474817,
0.01012290436688526,
0.014894995829624644,
0.021812185159477044,
0.03177875816649789,
0.046061554071504564,
0.06642770441212868,
0.09533262717257988,
0.1361769876776064,
0.19366000664329205,
0.27427258699605633,
0.38700765699040135,
0.5444449877078907,
0.7645728576669742,
1.0742808530249828,
1.517233705376216,
2.175383868205045,
3.245782737215517,
5.498017132429984]
elif (E_range < 6256.0):
aw = [
6.476469600717215e-05,
0.00034891783555501116,
0.0008941569546994692,
0.001770490093242039,
0.003106199645499256,
0.0051184335340408015,
0.008151285145167414,
0.012724953439821175,
0.019606591631387022,
0.029915037575018,
0.04527205344500337,
0.06801655695473027,
0.10150518730808944,
0.1505317627030831,
0.22191039986921127,
0.32528375402693044,
0.4742415082162232,
0.6878698417118773,
0.9929114555738491,
1.426826349178114,
2.0422826887022167,
2.914194983288514,
4.152054985305785,
5.925500508772846,
8.531868435284434,
12.663118219514553,
0.00016705896835219716,
0.0004066434009563924,
0.0006951433499719869,
0.0010783855735630424,
0.0016285976932411544,
0.002452428674095891,
0.003698822692463904,
0.005574655476173014,
0.008372611367675033,
0.012511058447330109,
0.01858785984880576,
0.027453700962179424,
0.04031295449132496,
0.058862610090479196,
0.08548341120436852,
0.12350282964756092,
0.17755835622889385,
0.25410556179535176,
0.3621484874152968,
0.5143475290193675,
0.728860394738634,
1.0328353641593397,
1.470237966477004,
2.1232087233584265,
3.1884016755763915,
5.431943610280663]
elif (E_range < 9034.0):
aw = [
4.714267869850108e-05,
0.00025461261481751654,
0.0006556761719344113,
0.001308468824945838,
0.002321150197926946,
0.003878461874698709,
0.006274894154406174,
0.009959418801224819,
0.01560204953263909,
0.02419303582580116,
0.03718681238787033,
0.056707527706112246,
0.08584014778037409,
0.12904063424870618,
0.19271144671607915,
0.2860061442236756,
0.4219516424878554,
0.6190135338939492,
0.903289679923842,
1.3116275192031754,
1.8961959695325519,
2.7316203672239747,
3.927395419802043,
5.653448502577673,
8.207416056488858,
12.280210966173971,
0.00012167157119425256,
0.00029765224752192887,
0.0005138446741296063,
0.0008093181914490766,
0.0012462946084647903,
0.0019166924309280847,
0.002949916160920999,
0.004529176144148134,
0.006918766955709136,
0.010502242217013015,
0.01583456242948638,
0.02371430118668526,
0.03528415663667773,
0.05217068929971722,
0.07667811497799712,
0.11205676769912475,
0.16287592945291882,
0.23554669511627027,
0.3390729578857381,
0.4861840636834821,
0.6951983617349604,
0.9935218371108636,
1.4254333766864864,
2.073293734219426,
3.133425653975384,
5.368705541720747]
elif (E_range < 15564.0):
aw = [
2.9443353786715123e-05,
0.00015968865887835848,
0.0004146519996900374,
0.0008385653229066657,
0.0015154710444555315,
0.002590553782265674,
0.004297458120933096,
0.0069977275055487075,
0.011241365987483699,
0.017857778834567364,
0.02808897944065483,
0.043782322061949784,
0.06766742773244867,
0.1037518951041952,
0.1578839462681274,
0.2385489270378087,
0.3579930679384087,
0.5338068043298525,
0.791161589813274,
1.1660045885058554,
1.7097467191304874,
2.496543051760848,
3.635839789357852,
5.297957374408996,
7.7810148585358885,
11.774676503198675,
7.606243073747058e-05,
0.000187654111092642,
0.00032937906982910266,
0.0005320965908695892,
0.0008454741794288284,
0.0013429974722876687,
0.0021300795419892347,
0.003360638155325681,
0.005262693302642904,
0.008173980176265023,
0.0125917789247931,
0.01924336061080778,
0.029185562811316818,
0.043945018416338716,
0.0657148857554778,
0.09763017054646428,
0.1441532549628787,
0.2116173831358168,
0.3090075514896036,
0.4491309451933545,
0.6505180076674358,
0.9409371471889534,
1.3651313188527026,
2.0058258806612064,
3.0589785756980588,
5.283171742769873]
elif (E_range < 19500.0):
aw = [
2.4221939880648916e-05,
0.00013162518783252502,
0.0003431050538880391,
0.000698189132475488,
0.001272589233863707,
0.0021976433259721703,
0.0036856546266738404,
0.00606744928063478,
0.009850534125738348,
0.015806672884776662,
0.025100760660057786,
0.03947837634367904,
0.06153686837154947,
0.09511493193970912,
0.14584951983758487,
0.22196820786998617,
0.335412339591795,
0.5034260546260962,
0.7508088209241689,
1.1131398816244866,
1.6415127034352714,
2.409875693114849,
3.527638075049888,
5.165269756856301,
7.621098250903887,
11.584360794128232,
6.260081073117763e-05,
0.0001550481237336088,
0.00027425459381644776,
0.0004482075757040794,
0.0007220779147665958,
0.0011628086873198505,
0.0018674017508154028,
0.0029793398493427954,
0.004713349903984844,
0.00739000908391551,
0.011484659947886356,
0.017697084080236986,
0.0270505598375803,
0.04103207563980036,
0.06178995726179555,
0.09241161287658448,
0.13731382654384652,
0.20279428302236951,
0.2978245159544139,
0.43523615879690214,
0.6336386632046422,
0.9209431632237726,
1.3420830429471422,
1.9799449671624767,
3.0303736903126226,
5.250335959421828]
elif (E_range < 22300.0):
aw = [
2.1564828392874976e-05,
0.00011732900716735743,
0.00030658459101179467,
0.0006263105810174703,
0.0011476627771254888,
0.001994368166545555,
0.0033669949117497793,
0.005579455105811666,
0.009115754087433222,
0.014715595238257124,
0.023500724387693545,
0.037159447358704495,
0.058214268280899095,
0.09040780191303678,
0.1392561892112249,
0.21283882379303048,
0.32292082611394995,
0.48654501997143224,
0.728293233827829,
1.0835278065593024,
1.6031531143244464,
2.360992062122655,
3.466427749396279,
5.090015465029667,
7.53020860247837,
11.47601339726731,
5.574871333711635e-05,
0.00013841643320123116,
0.0002460246878681958,
0.00040498060578160683,
0.0006579585426571892,
0.0010682911223034433,
0.0017283542359863323,
0.002775834478515568,
0.0044179824445092115,
0.006965640555090498,
0.010881623599671406,
0.01684992291318925,
0.025874425224763156,
0.03941906165439105,
0.05960588810571241,
0.08949416080199679,
0.13347332726212882,
0.1978191873760846,
0.29149390319797547,
0.4273416663588288,
0.6240165631691874,
0.9095125059692878,
1.3288753869034111,
1.9650901753832044,
3.013944114046813,
5.231485480677545]
elif (E_range < 24783.0):
aw = [
1.968079412594506e-05,
0.00010718493641102105,
0.0002806353581711279,
0.0005751273705017238,
0.0010584284934163331,
0.001848589008502448,
0.003137423022955394,
0.005226209962089254,
0.008581348030605833,
0.013918427654363913,
0.022326614770472653,
0.03545081033521797,
0.0557565940780925,
0.0869132477657862,
0.1343443806186961,
0.20601549407747916,
0.31355578173538573,
0.4738522008187966,
0.7113173707719063,
1.061144148921342,
1.574088149869358,
2.323872276609698,
3.4198568581275923,
5.032662209058464,
7.460841068394957,
11.393228561803523,
5.0889409017427654e-05,
0.00012660472263169967,
0.0002259210980998603,
0.0003740655095418279,
0.0006118384940478349,
0.000999874816429794,
0.0016270976310772938,
0.0026268356436642305,
0.004200673380690335,
0.006652036004218306,
0.010434155159748769,
0.016218897955811638,
0.02499520138410832,
0.038209141684542064,
0.05796233141783732,
0.08729199004516089,
0.13056598592688773,
0.19404256395643912,
0.2866758412418721,
0.4213188646546868,
0.6166595702412992,
0.900755794469128,
1.3187413549017004,
1.9536794891939209,
3.00131680399958,
5.21699996325917]
elif (E_range < 41198.0):
aw = [
1.2674056285680165e-05,
6.938931077849002e-05,
0.0001836100520485683,
0.0003826779493233582,
0.0007202040757498056,
0.0012903838734080182,
0.002248236525495258,
0.00384173613615444,
0.006462366726733287,
0.010722120046078792,
0.017568831387303644,
0.028457372697558436,
0.04560190325370437,
0.07234504966297221,
0.11369479964375559,
0.1771007906182374,
0.2735712154870606,
0.4192744014302692,
0.637834936286395,
0.9636469742972286,
1.4467538592483378,
2.1603857309953622,
3.2137696680006567,
4.777814618678099,
7.151554564591586,
11.0231252332385,
3.2810000033385146e-05,
8.24959243779711e-05,
0.00015031831931530549,
0.0002565196061853303,
0.0004339110517853371,
0.0007317640998323022,
0.0012244457171152918,
0.0020265452915832964,
0.0033148331774103383,
0.005359851622721186,
0.008571929299584299,
0.013568145467107103,
0.021269239209990003,
0.033039016114448296,
0.05088380967787895,
0.07773666161595308,
0.11786137108586371,
0.177428416908905,
0.26534598308886587,
0.3944982542877601,
0.583721306443492,
0.8613658745137791,
1.2729807136647084,
1.9020150846924464,
2.9440730604569967,
5.151372469471086]
elif (E_range < 94407.0):
aw = [
6.186479912580181e-06,
3.4233291323971405e-05,
9.256119767321995e-05,
0.00019951435503347473,
0.000391782808208518,
0.0007348447007241284,
0.0013393430685668998,
0.0023881407715703996,
0.004179359736833124,
0.007193105406189777,
0.012193603475754204,
0.020384081500457202,
0.03363963393153156,
0.054854535910931194,
0.0884563818462964,
0.1411619416118249,
0.22308161106495417,
0.3493255541517698,
0.5423345187791336,
0.835274429372801,
1.277059229828611,
1.9400953490632433,
2.933324383841704,
4.428041894721328,
6.724054874045832,
10.508722000292966,
1.605270034684411e-05,
4.1236777606757607e-05,
7.834646084720584e-05,
0.00014151002746774427,
0.0002536786392750537,
0.00045044627173442046,
0.0007883280940822237,
0.0013578695679215443,
0.0023029240253660617,
0.0038494157006882636,
0.006348322282988488,
0.010339483088961496,
0.016645606665935727,
0.026509781185170438,
0.04179532069895724,
0.06527461060266015,
0.10104501326885583,
0.15512766861607885,
0.23633651295613511,
0.3575717157671407,
0.5378622500972828,
0.8059829678217727,
1.2081212436199635,
1.8283703742955213,
2.862256950464903,
5.057682060420358]
elif (E_range < 189080.0):
aw = [
3.398642214192787e-06,
1.9025312202899538e-05,
5.266161038810626e-05,
0.00011755445811565422,
0.00024054583577387794,
0.00047036774204517446,
0.0008915989199018158,
0.0016480620414409948,
0.00298048536052862,
0.005285920675047294,
0.009210353187127669,
0.01579153884075367,
0.026677173353753962,
0.044455103994883116,
0.07314891087057689,
0.11895589362798491,
0.19133835932619525,
0.3046280564326354,
0.48037697428284243,
0.7508072430736709,
1.1639388014245502,
1.7914938071058262,
2.7421307814095353,
4.18739539739007,
6.427708444690209,
10.150038983021496,
8.840904815568487e-06,
2.3243411245798182e-05,
4.61419948505059e-05,
8.798822647972772e-05,
0.0001658923006259312,
0.0003074688101295367,
0.0005583537180990002,
0.0009937301893068423,
0.001735787847791623,
0.002980424755862107,
0.005037848905051201,
0.008393759041169294,
0.013800737687712429,
0.022413678806554142,
0.03598900168633015,
0.057175813550115986,
0.08993936716796855,
0.1401758115607063,
0.21660925146824841,
0.33212798532910376,
0.5058820683958832,
0.7669510501463104,
1.1620122321700583,
1.775691260253936,
2.8035588004499257,
4.990540570288636]
elif (E_range < 457444.0):
aw = [
1.5924512725077461e-06,
9.091861526358144e-06,
2.617525769293245e-05,
6.171102340282755e-05,
0.00013395463159750724,
0.00027703236128610273,
0.0005524440573740519,
0.0010685815369178362,
0.002012774020332085,
0.0037030176407984823,
0.006670370391832498,
0.011788596543354984,
0.020475865129561125,
0.03500529115221168,
0.058978461638664194,
0.09804109351785203,
0.16095595007242294,
0.26120029165707,
0.41933283009911826,
0.6664993354060413,
1.0496740893941348,
1.6397469396988835,
2.54498795937397,
3.9371777982755236,
6.11745128618483,
9.772519404832513,
4.1599386041678434e-06,
1.1373735340879785e-05,
2.420740702971419e-05,
4.980537853880897e-05,
0.00010018420860309139,
0.00019590630897285626,
0.0003724648960236611,
0.0006901948951647627,
0.0012498546464018527,
0.0022170391172995803,
0.0038600176308915607,
0.006607746433407134,
0.011137935349822067,
0.018509521510997304,
0.030360279138384877,
0.04919938780336098,
0.07883793047658633,
0.12502011000770785,
0.19635093903737422,
0.3056814182538295,
0.47227226126957916,
0.7255282521113733,
1.112683210316189,
1.7190059451835937,
2.7402160914459284,
4.918151105513321]
elif (E_range < 2101965.0):
aw = [
4.376362889407548e-07,
2.643443650482503e-06,
8.433114286038146e-06,
2.2439275175400065e-05,
5.458751916823435e-05,
0.00012469615312218161,
0.00027090154346575427,
0.0005643774226213476,
0.001134437804378847,
0.0022105491534259005,
0.004191467146338867,
0.007757292968144634,
0.014048601297429358,
0.024949196870902246,
0.04352732410856656,
0.07471686858797275,
0.12635898905420878,
0.21078138430975438,
0.3471766909066865,
0.5651735745080563,
0.9102276762862731,
1.451965060215205,
2.2979916853626663,
3.6203271934806356,
5.721128905491445,
9.287036012890901,
1.15698350323011e-06,
3.5239168925237668e-06,
8.790907369106611e-06,
2.0802473841355257e-05,
4.666225571530836e-05,
9.967519249166123e-05,
0.00020419454443829576,
0.0004036329368680413,
0.0007736164897230748,
0.0014432538211834921,
0.002629031662183179,
0.004688130413199208,
0.008201289641287034,
0.014100202125235302,
0.023861417673799547,
0.03979881543108159,
0.06550130495364699,
0.10648414776164583,
0.17115716235174305,
0.27227855433947445,
0.42921718067635106,
0.6717958687439105,
1.048026560686365,
1.6441450980118213,
2.656245656029467,
4.82228579092364]
elif (E_range < 14140999.0):
aw = [
9.23626066730038e-08,
6.508986506667573e-07,
2.548256199033377e-06,
8.121244988671366e-06,
2.280050217208556e-05,
5.838011937544951e-05,
0.00013919237871694767,
0.0003133658603796936,
0.0006727986081208618,
0.0013877632092122146,
0.002765631333703304,
0.005348711634689046,
0.010074592422860395,
0.018535050517138794,
0.03338852029027121,
0.05900918410430352,
0.10249708343303293,
0.17523445903983162,
0.2952639242558341,
0.4909040641368631,
0.8062587841364091,
1.3097798505481377,
2.1083909166084847,
3.3742290423813217,
5.410341564313699,
8.903545764950158,
2.5312239739000636e-07,
9.960996067355009e-07,
3.1628525158730217e-06,
8.836550056217969e-06,
2.2389728532275477e-05,
5.264557648617341e-05,
0.0001166810769940904,
0.00024642731945934143,
0.0004998727804625503,
0.0009797084412907111,
0.0018638236468942935,
0.00345441392005227,
0.0062559619517267165,
0.011097497158462704,
0.019322067389699597,
0.03307729968505806,
0.05575685817980752,
0.09266621527033955,
0.15202316630925258,
0.24647013442575488,
0.39542567933234785,
0.6290352095921129,
0.9959743276132635,
1.583367038071677,
2.5877759334182198,
4.74419254971056]
else:
aw = [
1.6637944502107968e-08,
1.8303408054343632e-07,
9.687195306133241e-07,
3.7389122528334316e-06,
1.1973447021251308e-05,
3.378096920589386e-05,
8.68338189070593e-05,
0.00020767968945116668,
0.00046874696407475663,
0.001008553647726778,
0.0020841046186256115,
0.0041598936699362606,
0.008056312504669037,
0.015193061067365586,
0.02798246122774749,
0.050456461866690214,
0.08925401954572831,
0.15515900119886547,
0.2654733104360881,
0.44765566677475566,
0.7449030289121367,
1.2248551649261998,
1.9939328236196414,
3.2243037705041826,
5.219599665831332,
8.666863277748455,
5.318821639180232e-08,
3.4945656362875746e-07,
1.4305518660978924e-06,
4.650456118314243e-06,
1.30922605762957e-05,
3.33205562494026e-05,
7.860562991572967e-05,
0.00017467466389322248,
0.0003697061169016621,
0.0007513106176187417,
0.0014748157046539873,
0.0028095645215491876,
0.005213528655212034,
0.009451865748843455,
0.016782910646881463,
0.029246610819691533,
0.05010725392331038,
0.08452724443086411,
0.14058736988255555,
0.23083686098028847,
0.37470521981828925,
0.6025298048228135,
0.9634165096071392,
1.5450976370872966,
2.5445132697805617,
4.694880341120372]
return E_ratio, aw
[docs]
def get_coeff_28(E_range):
E_ratio = 1.0
if (E_range < 1545.0):
E_ratio = 1545.0 / E_range
aw = [
0.00019912749139307142,
0.0010623606743332262,
0.002671743519332409,
0.00513532276440788,
0.008635195625198482,
0.013459847519256876,
0.020047630847673463,
0.029039389901087887,
0.04134031090156478,
0.05819756722342521,
0.0813050912035362,
0.11294734291964816,
0.156193889583069,
0.21515890144425773,
0.2953443526600425,
0.4040922882505582,
0.5511803231110346,
0.7496069714265129,
1.016632455219541,
1.3751727396754474,
1.8557042554346754,
2.4989586763196456,
3.3599578911008456,
4.514593597566258,
6.071708534726409,
8.199087984832916,
11.19334614657497,
15.75712024734422,
0.0005125044577801448,
0.0012232237231645984,
0.00201318827111783,
0.0029437832219448537,
0.004103311596300065,
0.005618171589079525,
0.007663188401742024,
0.010469929287815255,
0.01433805703894519,
0.01965640843594298,
0.026936172517646257,
0.036855644579373535,
0.05031748334107659,
0.06852207829804384,
0.09306268185731213,
0.12604985461633972,
0.1702755103243793,
0.22943160937864643,
0.30840755489079047,
0.4137086894086003,
0.5540782272946391,
0.741497238773558,
0.9929644420040254,
1.3340651862992305,
1.8071782497597113,
2.4938998954135005,
3.5946345041711467,
5.901304226915114]
elif (E_range < 2002.0):
aw = [
0.00015937273545708875,
0.0008511031358508971,
0.0021444475784000504,
0.004133806965295614,
0.006979927658415096,
0.010939953042854741,
0.016407375175241108,
0.02396000912675003,
0.034417229669099075,
0.04891406525328216,
0.06900316741446434,
0.09679560984224389,
0.13515199610246875,
0.18793838914519878,
0.2603666777263224,
0.3594458206099125,
0.494579482258333,
0.6783583159834518,
0.927614454599119,
1.2648378420472655,
1.7201130600602677,
2.3338552489887388,
3.1608903963862245,
4.2770721150582895,
5.7913663447139845,
7.871758093638662,
10.814809416909151,
15.321476179970999,
0.00041027809665924954,
0.0009811723452880425,
0.001620915236450962,
0.0023840944111134044,
0.0033503311465523967,
0.004634503191430588,
0.006395709602901231,
0.008844913900028784,
0.012257024616981905,
0.016993101307172367,
0.02353379728419698,
0.03252363542798268,
0.04482787026200198,
0.06160612640371776,
0.08440876245542936,
0.11530375228655552,
0.15704466612137769,
0.21329510792248377,
0.28893382637364007,
0.39048261973383075,
0.5267381633327601,
0.7097795124230211,
0.9567475153369529,
1.2933958092367415,
1.762243934642854,
2.4448656022179347,
3.5410603027618426,
5.839188641520334]
elif (E_range < 2600.0):
aw = [
0.00012724350537371705,
0.0006802420548887551,
0.0017174005833444652,
0.0033210405572595314,
0.005632832416553322,
0.008881578544535886,
0.013419698685145537,
0.019766846961404197,
0.028663060595610065,
0.041139669406250204,
0.058618369068556976,
0.08304861028830621,
0.11709467333563459,
0.16438742365500805,
0.2298611471707931,
0.32020292243210463,
0.44445136041510835,
0.6147946527884036,
0.8476375115705392,
1.1650387509190727,
1.5966797391113152,
2.1826420752053064,
2.9775354931417777,
4.057156308900191,
5.530582551166736,
7.5660060038749855,
10.45997985096501,
14.911921279047414,
0.00032764611790808316,
0.0007852281095230586,
0.001302499732766977,
0.001927928018050743,
0.0027331746862386277,
0.0038223319490506384,
0.005339653436386936,
0.0074768267093066575,
0.010485860861582824,
0.01470204224626301,
0.020577182689456824,
0.028723198501018832,
0.03996852241361688,
0.05543195597157087,
0.07662014166796133,
0.10555670439639143,
0.14495398753342661,
0.1984431170697882,
0.27088687577758624,
0.36881736713632424,
0.501078546468407,
0.6798426309902373,
0.9223911021644032,
1.2546500752337444,
1.719292335657813,
2.3978939243834243,
3.489702010303218,
5.779704886427998]
elif (E_range < 3300.0):
aw = [
0.0001035812061619439,
0.000554312958948722,
0.0014022178351092648,
0.0027199186238307522,
0.004633626332072742,
0.007348901862042884,
0.011184100569752935,
0.016610348266822107,
0.02430141997172798,
0.03520198814732897,
0.05062394356636958,
0.0723803681708885,
0.10296857818003698,
0.14581768397450023,
0.2056217187942231,
0.28878665461351954,
0.4040292970175386,
0.5631795391897031,
0.7822574690472879,
1.0829291748663241,
1.4945032140919154,
2.056746330708999,
2.8240560994099004,
3.87216062398999,
5.31022885971396,
7.306643557351196,
10.157983272563953,
14.562388075641433,
0.000266779348158189,
0.0006406783010995833,
0.0010669475657666657,
0.0015890577230093321,
0.0022720547662622424,
0.003210897076964011,
0.004537212534376952,
0.006426464787961385,
0.009111540381231737,
0.012906037854636046,
0.018237038812244945,
0.025687953276114096,
0.036054499502532374,
0.05041868971863853,
0.070247180509793,
0.0975222869562315,
0.134916933126155,
0.1860296678962944,
0.2557045471811927,
0.3504778528812439,
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0.0018259034247645597,
0.003243545770723624,
0.0056545862514208655,
0.009691209964763319,
0.016353052767086353,
0.027203315594152448,
0.044661579803193296,
0.07243798977464,
0.11617410461859103,
0.18438950337219645,
0.2898984327270837,
0.45201785956261764,
0.7003495143727266,
1.0824839695902242,
1.6841236033891487,
2.701136203287264,
4.87352184807004]
elif (E_range < 50000000.0):
aw = [
2.883608355013751e-08,
2.1533521290478e-07,
8.922309745530507e-07,
2.9625449220607536e-06,
8.567451943237967e-06,
2.243432347635065e-05,
5.4443793898855104e-05,
0.00012434900771925045,
0.0002702071667839422,
0.0005630773934606482,
0.001132097168889575,
0.0022064607569192898,
0.004184511435918261,
0.007745737975074526,
0.014029823575166972,
0.024919304936911416,
0.04348066531140458,
0.07464540686704813,
0.12625156513534663,
0.2106228965724005,
0.34694729093744464,
0.5648480693819434,
0.9097754411882123,
1.4513508415022998,
2.297177622667234,
3.619275978541861,
5.719806682040045,
9.28540894538464,
8.026935386394373e-08,
3.431660125547769e-07,
1.1507249938591508e-06,
3.3255150480524145e-06,
8.631544858985621e-06,
2.0673889190163757e-05,
4.650257994599218e-05,
9.941521329490123e-05,
0.0002037413884778986,
0.00040284592225487954,
0.0007722776557802875,
0.0014410293829550617,
0.0026254207291881958,
0.0046823958218659345,
0.008192369379080482,
0.014086602667824237,
0.023841088169455484,
0.039769020002557186,
0.06545851893082533,
0.1064240118543133,
0.1710745747479101,
0.2721680114354786,
0.42907347105223687,
0.671615155080402,
1.0478076752969256,
1.6438903234547084,
2.6559588426369642,
4.821957836337722]
else:
aw = [
7.2246193648183315e-09,
7.947805205434051e-08,
4.2064242178143404e-07,
1.6235298675242196e-06,
5.1991703168705275e-06,
1.4668546651111404e-05,
3.7705424076918065e-05,
9.01796708136201e-05,
0.0002035415234868656,
0.0004379390624442907,
0.0009049701100068852,
0.0018063291005268592,
0.0034982504743316482,
0.006597202794116675,
0.012150671665557649,
0.021909404675932484,
0.03875606413936719,
0.06737255773930659,
0.11526829896699824,
0.1943501837935314,
0.3233020082512726,
0.5311764928093146,
0.8628395371729328,
1.3874103242942566,
2.212207252365476,
3.5093118591573305,
5.581272308767191,
9.114780312141413,
2.3095697901478273e-08,
1.5174284298730647e-07,
6.211817019789001e-07,
2.0193446034719265e-06,
5.684986670359784e-06,
1.4468629362219993e-05,
3.413251437719442e-05,
7.584802072328596e-05,
0.00016053557840876553,
0.0003262378591667722,
0.0006404016188164239,
0.0012199823490146536,
0.0022638430447923645,
0.0041042325427612,
0.007287543243404729,
0.012699528275383098,
0.021757390677572788,
0.03670161910421734,
0.061035614898498174,
0.10018369236083766,
0.16247380492926894,
0.26061721476056016,
0.41400956019249524,
0.6526199011491635,
1.0247530046294373,
1.617029280212683,
2.625732716141634,
4.78747600908045]
return E_ratio, aw
[docs]
def get_coeff_30(E_range):
E_ratio = 1.0
if (E_range < 2906.0):
E_ratio = 2906.0 / E_range
aw = [
0.00010719782131833758,
0.0005720967766785331,
0.001439669174001423,
0.002769849121659816,
0.004664000049778321,
0.007283241780546586,
0.010873000028774003,
0.015792629918665993,
0.02255038608921401,
0.031847782299297675,
0.04463988143266245,
0.06221821662158963,
0.08632310206096853,
0.11929354905847961,
0.16426574047985984,
0.2254347024266385,
0.30839852293765396,
0.42061064113062563,
0.5719741696129382,
0.7756243966360713,
1.0489645297600516,
1.415051852321483,
1.9044914330966105,
2.558117126903484,
3.4310117702125913,
4.5990752550643395,
6.171106184489477,
8.314824292369494,
11.326871889957468,
15.91048796379593,
0.0002759212187476099,
0.0006589920695996667,
0.001085937188673809,
0.0015910122106733914,
0.0022237295869651035,
0.003055163774041633,
0.004183672861951183,
0.005739573533927359,
0.007891868776677179,
0.010860734164881057,
0.014936866838559482,
0.020507383044696917,
0.02808894961545452,
0.038370325842103176,
0.052267550952526234,
0.07099592893538823,
0.09616415398590554,
0.1298977096485147,
0.17500152116499199,
0.235176717264172,
0.3153154828400979,
0.4219165107665381,
0.5637038218742615,
0.7526245591453196,
1.005629375577748,
1.3482480324070423,
1.8228149068796895,
2.510939848106289,
3.6132439344998795,
5.9228966909439205]
elif (E_range < 3236.0):
aw = [
9.76676051737233e-05,
0.000521439839796676,
0.0013131673080453233,
0.0025293903535565823,
0.0042661250059111795,
0.0066765801036800295,
0.009994783165295324,
0.014564000812497294,
0.020870492553693578,
0.02958685422269625,
0.04163138568046643,
0.058249942771901375,
0.08112692839971898,
0.11253369957795559,
0.15552549205786806,
0.2142017013001525,
0.29404913356355256,
0.4023941070276559,
0.5489978387767454,
0.7468418586806641,
1.0131691905482183,
1.3708791149003934,
1.8504330035916199,
2.4925505474173923,
3.3522463174174093,
4.505410618668513,
6.060890691327169,
8.186478838726869,
11.178786177384513,
15.74038405881577,
0.00025141352623809566,
0.0006009323005964832,
0.0009917485369505094,
0.0014564055840763494,
0.002042200574311218,
0.0028172406584227633,
0.003875825130607345,
0.005342947480157929,
0.00738116098048549,
0.010203263291670922,
0.014091611662835478,
0.019423788992341998,
0.026705494627716198,
0.03661296179988794,
0.05004819563708869,
0.06821123613467164,
0.09269486715309114,
0.12560901090026905,
0.16974491105273157,
0.22879407342136257,
0.30764598759629597,
0.4128070021079015,
0.5530226357541534,
0.7402778334602197,
0.9915767219176012,
1.332510891997349,
1.8054641559432192,
2.49203146209568,
3.5925935804922893,
5.89893592679766]
elif (E_range < 3810.0):
aw = [
8.47819458078811e-05,
0.00045292247232938765,
0.0011419488590203569,
0.0022036034544386665,
0.0037263081029974285,
0.005851972143509195,
0.008798246612654406,
0.012885194918659285,
0.018567320347579703,
0.026475458982841895,
0.03747475660944132,
0.05274484615883288,
0.07388876569982615,
0.103079000554941,
0.14325196624460337,
0.19836605747691327,
0.27374326191660053,
0.3765207493043709,
0.5162475872690495,
0.7056742360429414,
0.9618016216492792,
1.3072886416997354,
1.772376230882795,
2.39760681930879,
3.237886311434963,
4.369085529708981,
5.900122672480505,
7.998902446784312,
10.962002095892634,
15.491026703179935,
0.00021827426323305446,
0.0005223668404015434,
0.0008641224881204865,
0.0012736436118541284,
0.001795042273807457,
0.0024921178119473955,
0.00345325315447348,
0.004795711504484412,
0.006672726568911133,
0.009286420295701826,
0.012906984705977642,
0.017897959998054307,
0.02474875419566456,
0.0341168643096291,
0.046883167956700916,
0.06422456826044022,
0.08770953467687731,
0.11942394754852313,
0.16213754631449626,
0.21952613567742027,
0.2964736644552558,
0.39949638395652903,
0.5373706722452656,
0.7221373998987525,
0.9708812677144617,
1.309288667276434,
1.7798217912856973,
2.464060270734846,
3.5620371023687465,
5.8635023001897295]
elif (E_range < 4405.0):
aw = [
7.475415175359787e-05,
0.0003995782940364109,
0.0010085401523130205,
0.0019494530926649103,
0.003304487334168418,
0.005206188391856581,
0.007858547072014874,
0.011562196417307553,
0.01674502130839572,
0.02400284151062447,
0.03415615402045192,
0.04832877588615427,
0.06805486346691048,
0.09542279350363236,
0.13326739942725138,
0.18542592486136436,
0.25707802147355546,
0.3551966628680496,
0.48914575629830964,
0.6714729217979144,
0.9189652081581203,
1.2540675821639358,
1.706822983665265,
2.3176124905704714,
3.1412403932005213,
4.253555048851896,
5.763534315696107,
7.839184077942836,
10.777063260156016,
15.27796168145106,
0.00019248226458298544,
0.0004611671410305988,
0.0007645470771240003,
0.0011307064674945877,
0.001601097912084883,
0.002235885143791768,
0.003118439955104845,
0.00435950977219228,
0.006104510985566756,
0.008546583020796826,
0.011945581030119579,
0.016652984461283625,
0.02314408570724871,
0.03206002850298206,
0.044263120398424796,
0.06090977430142275,
0.08354673398267808,
0.11423814381228614,
0.15573394602932067,
0.2116949419787466,
0.28699873776286255,
0.38816866941911854,
0.5240067210209787,
0.7066019007188943,
0.9531097377337013,
1.2893015561438181,
1.7577121859945424,
2.439914418694296,
3.5356481389173076,
5.832916244207001]
elif (E_range < 5400.0):
aw = [
6.263685476987877e-05,
0.0003350864107617077,
0.0008471021406263553,
0.0016414732496533968,
0.0027923267352349805,
0.004420069092229887,
0.006710856247430801,
0.009939856329159545,
0.014500042255919464,
0.02094127936473627,
0.030025328730095918,
0.042802276529506474,
0.06071482338334902,
0.08573906273600417,
0.1205734666631485,
0.168891746293846,
0.23568035070007362,
0.3276881055094081,
0.4540246498488577,
0.6269572963379791,
0.8629754834557104,
1.1842241235652444,
1.6204657246854692,
2.2118496417292866,
3.0130302596964915,
4.099816741357715,
5.581265514191353,
7.625526452879397,
10.52915117245689,
14.99185357007055,
0.00016131234676709978,
0.0003871323803883455,
0.0006438639425224474,
0.0009569827684469891,
0.0013644640382973136,
0.0019216628235682472,
0.002705305661659533,
0.003817552287654078,
0.005393559577915718,
0.007614615789728071,
0.0107267793784036,
0.01506524759897237,
0.02108608211163133,
0.029407976403737046,
0.040867556214958384,
0.05659266977268607,
0.07809948510740791,
0.10742117687653448,
0.1472789549319935,
0.20131104861420793,
0.27438405593923587,
0.3730286538370253,
0.50607994537212,
0.6856919919465865,
0.9291183488974969,
1.2622503775094018,
1.7277292939880777,
2.407128771305674,
3.4998023815666013,
5.791398263742947]
elif (E_range < 6800.0):
aw = [
5.1260796624319686e-05,
0.00027449998212479283,
0.0006952559402364613,
0.0013512581469068891,
0.0023084695955214183,
0.0036748571064951344,
0.005618146035815099,
0.008387084892047715,
0.012338401496919359,
0.01797419704821914,
0.025994966614220735,
0.03737346294738748,
0.05345583818085436,
0.0760988446106003,
0.10785503448538585,
0.15222193676863333,
0.2139764359272559,
0.29962253812775563,
0.4179901608236006,
0.5810358869798488,
0.8049164836351872,
1.11143825413834,
1.5300435290071273,
2.1006127473331047,
2.8776209315806276,
3.93682226153259,
5.387354342884511,
7.397531351751853,
10.263919356557402,
14.685102820756857,
0.00013204473011131683,
0.0003175248324260899,
0.0005301211290638112,
0.000792646090309341,
0.0011394726365449568,
0.0016209075495792747,
0.0023066917116162182,
0.0032900298122596973,
0.004695415042196518,
0.0066917090579473775,
0.009510290459434545,
0.013468802311717997,
0.019002357781084556,
0.02670497738030662,
0.037384817040713114,
0.05213776033026327,
0.072445378072951,
0.10030529745315488,
0.13840505606579703,
0.19035539860923475,
0.2610076849435031,
0.3568973694825793,
0.48689310015691706,
0.6632189222745253,
0.9032371034193576,
1.2329755271865048,
1.695201274879912,
2.3715025399546223,
3.4608285109987857,
5.746290251951392]
elif (E_range < 8400.0):
aw = [
4.264827171158114e-05,
0.00022859921129368268,
0.0005800651655637003,
0.0011306618266057897,
0.001939659276932296,
0.0031047255791507274,
0.004778205945319036,
0.007186731964418128,
0.010656673525706605,
0.01565005735652159,
0.02281575734702256,
0.03306097534037487,
0.04764947470167637,
0.0683354702649706,
0.09754528626464402,
0.13862301432535307,
0.19616179200890152,
0.27644949046799433,
0.3880673249123362,
0.5426935306072133,
0.7561844283103211,
1.0500376608384598,
1.4534003880410857,
2.005901250325418,
2.7618425195091647,
3.796918364528742,
5.220333260426152,
7.200552079960992,
10.034172866297915,
14.41882124837872,
0.0001098833579123983,
0.0002647437855875365,
0.0004436472669265954,
0.0006672101026873376,
0.0009667895306084336,
0.0013884135997529708,
0.0019959070037335724,
0.0028749526284055213,
0.004141093118158889,
0.005952643864305207,
0.008528340123693306,
0.01217052007837369,
0.017295858304956554,
0.024476476682491477,
0.03449505017711748,
0.04841859097574648,
0.06769708781585487,
0.09429528482789237,
0.13086897935334732,
0.1810021324793278,
0.24952974948475865,
0.3429885311920854,
0.4702742651357602,
0.6436716531183656,
0.880640225748484,
1.2073331130934455,
1.6666371474517014,
2.3401654531537157,
3.4265253480645885,
5.706615197039722]
elif (E_range < 10000.0):
aw = [
3.6638445936143444e-05,
0.00019654898584533858,
0.0004995365456010348,
0.0009761629469610179,
0.001680692380508944,
0.0027030234477272513,
0.004183824314963024,
0.006332898868769434,
0.009453508422633638,
0.013977114132271049,
0.020513053005428484,
0.02991804681839935,
0.043392038467264346,
0.06260934488416951,
0.089897358898568,
0.12847922117893293,
0.18280238941596594,
0.25898237331386087,
0.36540085871444006,
0.5135113514430796,
0.718925939367594,
1.0028894169830442,
1.3943048957706679,
1.9325902027814568,
2.6718997828791795,
3.6878719059499683,
5.089761008341865,
7.046156150294659,
9.853694451194254,
14.209263474504755,
9.441684068693651e-05,
0.00022786014262271372,
0.00038307351711976584,
0.0005790223101422384,
0.0008447661561374952,
0.0012230417856923205,
0.0017731334822002557,
0.002574990545123123,
0.003737321923840727,
0.005410302324390409,
0.007802786243657,
0.011205034742082835,
0.016019061597614896,
0.02279945700439318,
0.032308353668577205,
0.04558931015753348,
0.06406643328220389,
0.08967722561429306,
0.1250507942222136,
0.17374800817672645,
0.24058882427995695,
0.3321088613980677,
0.4572237934265981,
0.6282658627647734,
0.8627730246821379,
1.187001575527606,
1.6439399241381616,
2.3152296444802993,
3.3992160109205325,
5.6750508010285134]
elif (E_range < 12000.0):
aw = [
3.125352048295285e-05,
0.00016781351172929327,
0.00042725280780375096,
0.0008372368297287864,
0.0014472482996344947,
0.0023397061489668085,
0.00364397706459525,
0.005553554215846271,
0.008349288769114196,
0.012432933353972381,
0.018375235671074245,
0.0269833920064158,
0.03939439104594155,
0.057203310896803944,
0.08263890933961444,
0.118803108858221,
0.16999660677619183,
0.24216036024367976,
0.3434728927615001,
0.4851575786991668,
0.6825748514741242,
0.956707159367906,
1.3362022902301018,
1.8602550523674573,
2.582860494442485,
3.5795923551771076,
4.959752013207221,
6.892057403111867,
9.673196873736643,
13.999332658018544,
8.055654719138439e-05,
0.0001947658525515697,
0.00032859686532794565,
0.0004994306825817649,
0.0007340947583837473,
0.0010721035282296792,
0.001568310846736925,
0.002297102568888374,
0.0033605346972129828,
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elif (E_range < 110000.0):
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elif (E_range < 160000.0):
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elif (E_range < 370000.0):
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0.46460274135109153,
0.698920779817791,
1.0447664262134877,
1.5527831264532448,
2.296617666855539,
3.3856119528633637,
4.990434105875191,
7.4097119078577,
11.33215729315795,
4.056801137252665e-06,
1.0400304864325584e-05,
1.968307964805301e-05,
3.537211676997081e-05,
6.309758174077909e-05,
0.00011156144898932593,
0.0001945228908869725,
0.0003339605532184735,
0.000564711446670201,
0.0009413729224733118,
0.0015485976328911168,
0.0025163527439127716,
0.004042366217657837,
0.006424908889055276,
0.010110351754549359,
0.01576172006986062,
0.02435693199744164,
0.03732881710193292,
0.05676374129839576,
0.08568239505343193,
0.12843634401072082,
0.19127041101280928,
0.28313227875730185,
0.41688110772833514,
0.6112296495300013,
0.8942832614684186,
1.3112417204467246,
1.9452277892500305,
2.9919599852080703,
5.206267501211972]
elif (E_range < 520000.0):
aw = [
1.162904999603526e-06,
6.460220717190712e-06,
1.7606607480068412e-05,
3.8410731277459235e-05,
7.652869912290393e-05,
0.00014570244755436322,
0.00026937164379552174,
0.0004866802067040396,
0.0008620687596415197,
0.001500239074857704,
0.0025692139442485516,
0.004335527408651135,
0.00721744537817494,
0.011864777494471953,
0.01927761941951377,
0.030981700048419165,
0.04928550606403292,
0.07765484694198317,
0.12125517110926898,
0.18773242857967326,
0.2883321960866146,
0.43949878526491704,
0.6651609536255874,
1.0000229662476519,
1.4944068851808134,
2.2217383426459816,
3.2913012165448343,
4.873895944019108,
7.268367413333011,
11.163103194460474,
3.0200745063435063e-06,
7.819224105572315e-06,
1.5081156733800399e-05,
2.776801766506454e-05,
5.0700455074630125e-05,
9.145615638049602e-05,
0.0001622504928743556,
0.00028286367265657205,
0.0004849887879932366,
0.0008187828750348566,
0.0013627221411797283,
0.002238314348285273,
0.003631885398877431,
0.005826597760169261,
0.009249172128608455,
0.014537611686674936,
0.0226387619956523,
0.03494804598497715,
0.053508604450163914,
0.0812939971568708,
0.12260888215529167,
0.18365876903663883,
0.27337120427563866,
0.4046203209300098,
0.5961868839329513,
0.8763095433545912,
1.2903758814089559,
1.9216820534456363,
2.9658783009061263,
5.176364379511127]
elif (E_range < 700000.0):
aw = [
8.982200709109713e-07,
5.013746520038623e-06,
1.3797556086375253e-05,
3.053886905121258e-05,
6.188411270912267e-05,
0.00011984809712211666,
0.00022515174308936954,
0.00041280335546669807,
0.0007410557365297971,
0.0013054805064640572,
0.0022608163607798406,
0.003854540538433318,
0.006477967304857807,
0.010743336152506139,
0.01759914400488243,
0.028501352515678965,
0.04566568530951012,
0.07243687914225057,
0.11382566141804518,
0.17728511649027562,
0.2738276317065499,
0.41962643246873177,
0.6383115216108352,
0.9642825901967439,
1.4475879782153047,
2.1614613507414213,
3.2151308325865324,
4.779503431415253,
7.153609650797204,
11.025589359258367,
2.33509910395076e-06,
6.10398857813977e-06,
1.1988268517456785e-05,
2.2570731247056643e-05,
4.206867163196105e-05,
7.722227756857685e-05,
0.00013907449507452585,
0.0002457091386543816,
0.00042636927263886435,
0.0007277240308901886,
0.0012233619517539264,
0.0020280492037779985,
0.0033189631613667883,
0.005367062740884365,
0.008583092022062843,
0.0135845766573915,
0.021292762750234086,
0.033072042665578866,
0.05092942142345538,
0.07779867772338114,
0.11794435500606822,
0.17753757154997848,
0.26548687080483935,
0.3946762763128839,
0.5839408961339644,
0.8616294721408878,
1.27328786626255,
1.902362545255473,
2.944458259522062,
5.1518134931437265]
elif (E_range < 1100000.0):
aw = [
6.070765776691511e-07,
3.416871225040894e-06,
9.561919657171797e-06,
2.1683051083242104e-05,
4.515689173365717e-05,
8.982491421280511e-05,
0.00017296367691311632,
0.00032428348083868487,
0.0005940202656656541,
0.001065793876730367,
0.0018767883279394732,
0.0032490764599530236,
0.0055377486897541,
0.009304158830434279,
0.015426407047504075,
0.02526460961553787,
0.0409062041812229,
0.06552740429734295,
0.10392219781712,
0.16327176797255086,
0.25425762049527484,
0.3926657116824371,
0.6016960744289409,
0.9153062522487351,
1.3831427017478757,
2.0781516959653166,
3.1094698633638336,
4.64815163738497,
6.99350202546865,
10.833342615226073,
1.5810344568110277e-06,
4.201983132608034e-06,
8.509301559244783e-06,
1.660217499192091e-05,
3.1937948250709083e-05,
6.0196622838881555e-05,
0.00011090164490251824,
0.00019990225033881748,
0.0003531805009952824,
0.000612721804071078,
0.0010454964371682956,
0.0017570690249359784,
0.0029120339233426416,
0.004764440773172712,
0.007702737556158165,
0.012315669576916223,
0.019488241944529968,
0.03054057337997689,
0.0474276677063864,
0.0730254826754342,
0.11153946595828376,
0.1690888848289202,
0.2545515426791882,
0.3808215765752087,
0.5668083660036856,
0.8410170454494971,
1.2492234533619844,
1.8750991975085831,
2.91420232217261,
5.117153113908438]
elif (E_range < 1800000.0):
aw = [
3.9676424024146875e-07,
2.2573188915559954e-06,
6.453978574008018e-06,
1.5076014172691726e-05,
3.241300804980766e-05,
6.644316731632574e-05,
0.00013145859105193587,
0.0002525113816701914,
0.0004726891479758136,
0.0008648183450896165,
0.0015500448519401517,
0.00272698303228361,
0.004716941205527944,
0.008033374074156422,
0.013487530814882825,
0.022347744374551653,
0.03657761361377878,
0.0591894063537043,
0.09476465831169727,
0.15021601736547668,
0.23589569241536856,
0.3672011309219512,
0.5668972518738795,
0.8684896297613345,
1.3212084913196627,
1.9976957850654782,
3.00698161245029,
4.520261622699826,
6.837125864760079,
10.645115539809895,
1.0356874216884052e-06,
2.812088667709278e-06,
5.914445821533368e-06,
1.2021336664547268e-05,
2.3940050145157427e-05,
4.6430499419310365e-05,
8.765815047744608e-05,
0.00016143932217372545,
0.0002907528424437285,
0.0005132235070598931,
0.0008895970920506905,
0.0015167009659352298,
0.0025470709958953243,
0.004218406965056695,
0.006897410357753999,
0.011144514451186464,
0.017808764773569234,
0.028165958189904933,
0.044118529654135305,
0.0684833014292294,
0.1054043456969387,
0.16094570015015752,
0.24395004441521287,
0.3673168074143,
0.550025709656669,
0.8207374761240367,
1.2254629611475691,
1.8481116761650778,
2.884215749911384,
5.082816358644647]
elif (E_range < 3300000.0):
aw = [
2.3571329342099874e-07,
1.3632343165414816e-06,
4.023756596461991e-06,
9.795394424152668e-06,
2.195714519062327e-05,
4.674841254419276e-05,
9.563512339593217e-05,
0.00018918230274547437,
0.00036348321259617266,
0.0006806544569921736,
0.001245724390748882,
0.002233454990133142,
0.00393042938989855,
0.0068003647335751725,
0.011584430850915652,
0.019453873577319414,
0.032240162866761804,
0.052779185694875504,
0.08542204924536101,
0.136787796738067,
0.2168656674798965,
0.3406212481786099,
0.5303313641534245,
0.8189892522205988,
1.2553469341161432,
1.9116889104572583,
2.896909089589307,
4.382351904816623,
6.667935664555373,
10.44093549828013,
6.17436261768095e-07,
1.7313881986083482e-06,
3.841234035608705e-06,
8.228727173271725e-06,
1.709820341911912e-05,
3.4332974259821285e-05,
6.676429369632049e-05,
0.00012617607786624823,
0.0002325052400773221,
0.0004189073145508487,
0.000739676578430109,
0.0012824873185346604,
0.0021871159459730906,
0.0036737980596718025,
0.006085791120718465,
0.009952725340223944,
0.01608416328295351,
0.02570677247015947,
0.04066411629576856,
0.06370600198386596,
0.09890586632566792,
0.15226260044097462,
0.23257478024275838,
0.35274192070832605,
0.5318168800175598,
0.7986316416317844,
1.1994633292908101,
1.8185003473260537,
2.851271019221645,
5.045111765749473]
elif (E_range < 6000000.0):
aw = [
1.4156108142769783e-07,
8.358408090279267e-07,
2.563425668333653e-06,
6.532496957198105e-06,
1.529085429435563e-05,
3.381004239065925e-05,
7.145759572627074e-05,
0.0001454048583206386,
0.0002863676783658706,
0.0005481076173216848,
0.0010229120533241523,
0.0018664583231752616,
0.0033372345185815654,
0.005858297289124,
0.010112965971934416,
0.017191603273076256,
0.028814641239522522,
0.04766849746482397,
0.07790741829272711,
0.12589760019317675,
0.2013131761655887,
0.3187416881227427,
0.5000288557106496,
0.7777107650960449,
1.200107192058866,
1.8391727503056268,
2.803666178964093,
4.265054523983134,
6.5235529232359735,
10.266242055151874,
3.724391604535185e-07,
1.0869250980985111e-06,
2.5605516562597e-06,
5.7850356623393795e-06,
1.2528619638131183e-05,
2.6016291223482876e-05,
5.204832564381964e-05,
0.00010081228246405614,
0.00018982349811898816,
0.0003486351977763963,
0.000626280938172421,
0.0011028905979224082,
0.0019076162117445236,
0.0032460080919710396,
0.005441424633595424,
0.00899711363781583,
0.01468851247521531,
0.023699427657021866,
0.03782154672437762,
0.059744945747629535,
0.09347917704011861,
0.1449628687820927,
0.2229515840638538,
0.34033980700933175,
0.5162398701965166,
0.7796319970356158,
1.1770306615230532,
1.7928810285625805,
2.8227297861916565,
5.012462806749877]
elif (E_range < 18000000.0):
aw = [
5.619543540742037e-08,
3.5072928313745456e-07,
1.1785442886447028e-06,
3.3029924055616623e-06,
8.394882189434066e-06,
1.987896075698813e-05,
4.449626404673206e-05,
9.506973724339386e-05,
0.00019528307697601834,
0.0003877720465039687,
0.0007475784942017128,
0.001404160723388905,
0.002576876821658531,
0.004631430044514,
0.008168570072664031,
0.014161927673231893,
0.024169988544510326,
0.04065896918886588,
0.06749026098429482,
0.1106503055340562,
0.17933541972048098,
0.28755422315274737,
0.45648527437792397,
0.7179486868235401,
1.119577032884951,
1.7327879813628193,
2.6661030665007965,
4.091161983842176,
6.3086506803163065,
10.005419833797736,
1.4962249041277701e-07,
4.835223883864694e-07,
1.2927723889950915e-06,
3.221113081192073e-06,
7.5085382788298944e-06,
1.653889597388599e-05,
3.475621269796358e-05,
7.020789074538884e-05,
0.000137107896070371,
0.0002600215543190807,
0.00048059369103468994,
0.0008682158907070847,
0.0015367276921454673,
0.0026702645844449866,
0.004562839898703722,
0.007678366608423676,
0.012740848501038493,
0.02086877544772841,
0.03377384609132226,
0.05405280484981297,
0.08561371875294983,
0.13429708936338725,
0.20878452860262342,
0.32195328331951945,
0.4929981089833493,
0.7511227960385115,
1.1432128213684527,
1.7541296769802968,
2.7794877584199225,
4.963023556769552]
elif (E_range < 50000000.0):
aw = [
2.4343774571442308e-08,
1.6513085830933388e-07,
6.196802532079424e-07,
1.9114039978346155e-06,
5.2375690334248195e-06,
1.316277905469794e-05,
3.092030271194152e-05,
6.876819455159673e-05,
0.0001461441409773963,
0.0002988264714800754,
0.0005910302376020617,
0.0011354771724870155,
0.0021261659208679307,
0.0038911087717360972,
0.0069760886290369745,
0.012276085772085119,
0.021239226973771258,
0.03618004618429005,
0.060756103616981624,
0.10068683961443668,
0.16482922554469034,
0.2667764798918916,
0.4272231990996556,
0.6774637303634756,
1.064618278549332,
1.6596947503579922,
2.5710208535654164,
3.9703478472317504,
6.158711044835771,
9.822845740299956,
6.607779435757453e-08,
2.4531316662915766e-07,
7.456766806787507e-07,
2.026328956129065e-06,
5.0327732385235214e-06,
1.1652295901214502e-05,
2.5505955301673674e-05,
5.331453501898778e-05,
0.0001072058234797249,
0.00020853777085767683,
0.0003941273627591354,
0.0007262462873395727,
0.0013084426047463612,
0.00231027419159065,
0.004005535279633006,
0.006830718203653046,
0.011473559821092195,
0.019005957730023747,
0.031081856143062504,
0.0502296954993904,
0.08028203266369409,
0.12700459445500437,
0.19901982937944282,
0.3091853239783209,
0.4767481905112323,
0.7310696923220488,
1.1193069602208368,
1.72663775937696,
2.74875508795335,
4.927904659791831]
else:
aw = [
3.3134286206436378e-09,
3.608476731974466e-08,
1.9011771017402648e-07,
7.319641454121685e-07,
2.3402664590560514e-06,
6.59508695658557e-06,
1.6937909149354525e-05,
4.048237319663682e-05,
9.132011445721631e-05,
0.00019639172259169963,
0.0004056673541505352,
0.0008094360939409007,
0.001567130287522824,
0.0029545924806747004,
0.005440438931022152,
0.009807773172795757,
0.017345795847210112,
0.030148043017114434,
0.0515717640546498,
0.08693872933672857,
0.14459504048117927,
0.23750169179013617,
0.3856081802743787,
0.6193889538319287,
0.9851526108818242,
1.5532426287786882,
2.431651849778814,
3.7922799603529507,
5.93671227399739,
9.551588089060862,
1.0546633313159667e-08,
6.866238130433312e-08,
2.8014791592507246e-07,
9.089927672975243e-07,
2.5558210419120903e-06,
6.498693707400478e-06,
1.531991208406891e-05,
3.4023779895267246e-05,
7.197856727334818e-05,
0.00014621506144801751,
0.0002869199340733901,
0.0005464264697957605,
0.0010137006051227095,
0.0018373548659257801,
0.0032617470785987366,
0.005682944230668296,
0.009734554219352109,
0.016418075032354977,
0.02729906435610205,
0.04479995778261982,
0.07263414004010217,
0.11644650227746163,
0.1847594577631817,
0.2903885825624092,
0.4526492240843357,
0.7011369514153092,
1.0834309171758731,
1.6852193328076974,
2.7023644845108916,
4.874923027763007]
return E_ratio, aw
[docs]
def get_coeff_32(E_range):
E_ratio = 1.0
if (E_range < 4862.0):
E_ratio = 4862.0 / E_range
aw = [
6.390102821995496e-05,
0.0003410048490902184,
0.000858015893339577,
0.0016504328288047757,
0.002778247721262644,
0.004336751679872466,
0.0064710209548362084,
0.009393407912277671,
0.01340416788754177,
0.018917565422190717,
0.026497301468281335,
0.036905213045864395,
0.0511672148624311,
0.07066128158960995,
0.09723384839331731,
0.13335312533591778,
0.18231048817210543,
0.24848450523394644,
0.3376865863344385,
0.4576131552357413,
0.6184374387625521,
0.8335859250026539,
1.1207633263472254,
1.5033220996389998,
2.0121331479703484,
2.6882384204905283,
3.5868412256539663,
4.783852020373796,
6.387973693919086,
8.566792744620582,
11.61702931918549,
16.243244163196902,
0.0001644750107629364,
0.0003927652580734362,
0.0006470526340880139,
0.0009476004809462573,
0.0013236672585754251,
0.00181722804655121,
0.0024863648293148356,
0.0034080264366486593,
0.004681956510169319,
0.006437986099490384,
0.00884737093390095,
0.01213798662642807,
0.01661375946425665,
0.022679584239104586,
0.030873595466529645,
0.0419091652309378,
0.05672961944641861,
0.07657952416894345,
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1.5169810386781961,
2.1751039860564134,
3.2454752973208514,
5.497663131109453]
elif (E_range < 126612.0):
aw = [
3.6756703015465298e-06,
1.9954750677579616e-05,
5.191549207164041e-05,
0.00010531730513004429,
0.00019114894568566566,
0.0003284345206580502,
0.0005478574351058358,
0.0008970642726998205,
0.001448846563954588,
0.0023134440610659145,
0.00365660754627558,
0.005725809627536767,
0.008888016831791598,
0.01368381089343313,
0.020904518142872384,
0.031701561841387796,
0.04774073523681854,
0.07141882485947987,
0.10616643258939448,
0.15686955518574938,
0.23045435097627895,
0.33669592809026266,
0.48933536087816165,
0.7076244370403264,
1.0184762856769092,
1.4595108245228903,
2.0835241856266555,
2.965501956804563,
4.214929989807013,
6.001367447071038,
8.622077664029446,
12.76932426608392,
9.497600314818484e-06,
2.347760247868802e-05,
4.136863276834202e-05,
6.721947207800727e-05,
0.00010755652914793868,
0.00017204310109274583,
0.00027461020521950513,
0.00043573410701580053,
0.0006859083122114215,
0.0010704829571126738,
0.0016564711186942442,
0.0025422076964986724,
0.003871039755848531,
0.005850643295798488,
0.008780144703142966,
0.013088020403816946,
0.01938482007375741,
0.02853620387815694,
0.04176374049584569,
0.06078358076425594,
0.087996854859105,
0.12675113895160917,
0.18170115882627896,
0.2593129035941683,
0.3685886307380454,
0.5221684374385586,
0.7381657526850111,
1.0436599990100175,
1.4825352832265704,
2.136878793265541,
3.2034437811357703,
5.449257489548676]
elif (E_range < 247709.0):
aw = [
2.0394837579119305e-06,
1.1136428689231387e-05,
2.9311026954581983e-05,
6.057395938117077e-05,
0.00011273361636596131,
0.00019945262227642557,
0.00034307020413915784,
0.0005789986244949678,
0.0009626136389075716,
0.0015797047702976012,
0.0025620328180390273,
0.00411027194192014,
0.006527602589322277,
0.010268581467814463,
0.016009798955308914,
0.02475143770962476,
0.03796243042890685,
0.057786831913653906,
0.0873357482301367,
0.1310983577206706,
0.19551814727621097,
0.2897978980472306,
0.4270216153720778,
0.6257183147230295,
0.9120522680792509,
1.3229345707400562,
1.9105866829861018,
2.7496652071687744,
3.9496659363104385,
5.680486965184195,
8.239732353995374,
12.318415719148392,
5.276628830314947e-06,
1.3196668481729192e-05,
2.379458469172375e-05,
3.999888381841533e-05,
6.655277116013134e-05,
0.00011053727387478837,
0.00018248747181848964,
0.00029842809341232193,
0.0004828462223872788,
0.0007729214376067976,
0.001224631278196218,
0.001921577765363735,
0.0029876866735399437,
0.0046053732161687655,
0.007041380807008615,
0.010683336283217822,
0.016091204665789092,
0.02406937359680715,
0.03576720002987578,
0.05281872257231177,
0.07753624384014632,
0.11317828438072734,
0.16432147566237754,
0.2373819281103962,
0.34136408980953675,
0.48899079151871744,
0.6985643332266451,
0.9974643386084848,
1.4299370040199422,
2.0783190576822954,
3.138964327630411,
5.375073752754771]
elif (E_range < 452410.0):
aw = [
1.2029417634752254e-06,
6.609895643735541e-06,
1.761886326860991e-05,
3.714701435066809e-05,
7.09606454750247e-05,
0.00012924586800944736,
0.0002289177620104591,
0.00039735575327091586,
0.0006783049971089168,
0.001140918627613451,
0.0018934100817969098,
0.0031034810098270562,
0.0050286516433828725,
0.008060966671683137,
0.012792436500279173,
0.020110206423758527,
0.03133410211483852,
0.04841425570428367,
0.07421348496567018,
0.11290867950409522,
0.1705586323733128,
0.2559040285419376,
0.38149111837813177,
0.5652486706311622,
0.8327086526705059,
1.2201713489652732,
1.7793482729282073,
2.5845851027859807,
3.745354303892851,
5.4318267387256425,
7.941927006849686,
11.965772395891321,
3.1166015808204985e-06,
7.893584647537054e-06,
1.4590421523143668e-05,
2.540166835137321e-05,
4.38866273658644e-05,
7.544235506820306e-05,
0.00012836853819339647,
0.0002156510284757784,
0.00035755049600582473,
0.0005853791673295657,
0.0009470589489445969,
0.0015152726995104847,
0.0023993396733646157,
0.0037624022005128713,
0.005846143988201738,
0.009006130762738474,
0.01376205648174844,
0.02086880821287917,
0.03141648831640661,
0.04697057987136505,
0.06976767926454802,
0.10298830876584288,
0.1511376630263013,
0.2205811788480397,
0.320313759532162,
0.4631152216015924,
0.6674360776688134,
0.9609048344557064,
1.3880820200304151,
2.031544618845653,
3.087377771089118,
5.31578682998986]
elif (E_range < 1104308.0):
aw = [
5.514768391533348e-07,
3.0661463050989084e-06,
8.370607042832422e-06,
1.830793322995512e-05,
3.65866489044243e-05,
6.987140555359488e-05,
0.00012955245746241426,
0.00023469156977383316,
0.00041673066301572737,
0.0007268469188482661,
0.0012473021552990137,
0.002108784237240361,
0.0035166643543472435,
0.005790416868049286,
0.009422327737378779,
0.015164272167993003,
0.02415507435487594,
0.038106181361843135,
0.05957064947730835,
0.09233052534676135,
0.14195168557080626,
0.2165746550862792,
0.3280373760158957,
0.493465990037226,
0.7375325370826453,
1.0956894156446793,
1.6189196862917987,
2.381098691427177,
3.4916207819996172,
5.1210060943387665,
7.5676555925110085,
11.520669806145102,
1.4324492833187423e-06,
3.714945365379106e-06,
7.187993199450151e-06,
1.3287667789384625e-05,
2.435221365340668e-05,
4.406786544877652e-05,
7.839477316844559e-05,
0.00013700432533564813,
0.00023541888373746023,
0.0003982417143724247,
0.0006640223423546365,
0.0010925276402432504,
0.0017755203327472222,
0.0028526152739405167,
0.0045344377578051915,
0.007136218994535957,
0.011126225466246156,
0.01719515628222213,
0.026355033830470446,
0.04007940751399853,
0.06050127009572156,
0.09069160330701329,
0.13505126572297815,
0.19986523979796597,
0.2940997147198093,
0.4305938358212778,
0.6279833290723216,
0.9142278655051918,
1.3343266294937697,
1.971223529289826,
3.0207289388880563,
5.239269717116346]
elif (E_range < 2582180.0):
aw = [
2.6346628583772034e-07,
1.4870682611802608e-06,
4.18499777462391e-06,
9.565754079998203e-06,
2.0095438915823317e-05,
4.030712638205273e-05,
7.820310873891258e-05,
0.0001476189063429688,
0.00027206125557350966,
0.0004908276742423054,
0.0008686422030538531,
0.0015106576888148007,
0.0025855700579017434,
0.0043608859416256075,
0.007256247781115456,
0.011923381221441286,
0.01936500732097008,
0.031110395247887928,
0.049472724953768164,
0.07792391423249093,
0.12163719777397036,
0.18826820696011917,
0.2890741916661454,
0.44051299024821017,
0.6665282145336267,
1.0018392157983365,
1.4967815518731842,
2.2247902473537535,
3.295151802440413,
4.87866127574686,
7.274154425483326,
11.170031678415262,
6.865691087424058e-07,
1.8349687179642652e-06,
3.75363535847515e-06,
7.406302503889748e-06,
1.4385998863803715e-05,
2.7332856632656454e-05,
5.070293872960844e-05,
9.194731882902252e-05,
0.00016333066755487376,
0.0002847458523672339,
0.0004880328440654819,
0.0008235400684252141,
0.001370000313997599,
0.002249268185463258,
0.003648135807576948,
0.005850384133560756,
0.009283540163912576,
0.01458663604211278,
0.022707798579110823,
0.03504400012572891,
0.05364018073213217,
0.08147187176803067,
0.12284570471579664,
0.18396885882280342,
0.27376977104743744,
0.4051220237008429,
0.5968036286827566,
0.8770477402799991,
1.2912341021707199,
1.9226515113345246,
2.9669527288987725,
5.177596037459169]
elif (E_range < 10786426.0):
aw = [
7.696764691509552e-08,
4.5183075501644766e-07,
1.3712733197245156e-06,
3.452398063116915e-06,
7.99119238288884e-06,
1.7499890158507848e-05,
3.668225172908821e-05,
7.411367023252019e-05,
0.0001450609740104884,
0.0002761333471939282,
0.0005128366382617873,
0.0009316733536716902,
0.0016592776527650684,
0.0029023227583525545,
0.004993762465329047,
0.008463615785356367,
0.014146318917564842,
0.02334212828021178,
0.03805782856888779,
0.0613630042242151,
0.0979136503362365,
0.15471676332581316,
0.24224053787692895,
0.3760196167953944,
0.5789730031642062,
0.8847668378302425,
1.3427798213464026,
2.0257631969638736,
3.042786371879784,
4.564995894383141,
6.891880055654338,
10.711074682469496,
2.0224960490304485e-07,
5.837519191389681e-07,
1.3534097826701593e-06,
3.0163324999016133e-06,
6.464297707355912e-06,
1.331006273228438e-05,
2.6438493784462622e-05,
5.089377871159909e-05,
9.53135908336066e-05,
0.00017421956824809404,
0.0003116271902197154,
0.0005466663994455823,
0.0009422361350401303,
0.0015981946213501235,
0.0026712728244169207,
0.004404875333973468,
0.00717331310959028,
0.011546952692401411,
0.018387490277830258,
0.028986360940377882,
0.04526460807725196,
0.07006006488175816,
0.10753871373789183,
0.16378446149863707,
0.24765288245177752,
0.3720420890669611,
0.5559074354965244,
0.8278548563568215,
1.2338117262467065,
1.8576021658437778,
2.8947650724141107,
5.094894347251689]
elif (E_range < 72565710.0):
aw = [
1.5580960122828055e-08,
1.0192299261551187e-07,
3.657511654714275e-07,
1.0874230387694592e-06,
2.8971440093678986e-06,
7.1231112287328e-06,
1.6440376252868036e-05,
3.6035911594207885e-05,
7.564822282610485e-05,
0.0001530604093750471,
0.0002999674552596099,
0.0005716626169231291,
0.0010627819854068627,
0.0019325381417571955,
0.0034446462658281212,
0.006029758821968773,
0.010382043759726605,
0.017607085158632928,
0.02944628039743525,
0.04861435988540585,
0.07930297685700823,
0.12792652074627453,
0.20421936908257549,
0.3228415686086713,
0.5057217947095013,
0.785484422991801,
1.2105330871831885,
1.852886865611021,
2.8213315422092657,
4.2873111269979765,
6.550982976987269,
10.299461972660755,
4.192785461816036e-08,
1.4682586910958697e-07,
4.248767433871547e-07,
1.117972412187448e-06,
2.71251708562224e-06,
6.166664608205133e-06,
1.3299698724334126e-05,
2.7458360437668858e-05,
5.463565964132874e-05,
0.00010531494807998692,
0.0001974602213268062,
0.0003612942851684024,
0.0006468325897487988,
0.001135618706607295,
0.0019588032650003236,
0.003324710089253406,
0.005560469162003084,
0.009174344598623402,
0.014948285309521006,
0.024074306780617383,
0.03835406948576763,
0.060489181968959096,
0.0945015966761899,
0.1463417320393485,
0.22477371348415012,
0.34269334477792374,
0.5192018690921564,
0.7832512032052583,
1.1813099794431254,
1.7977731364021527,
2.828182155100705,
5.018697893750251]
else:
aw = [
1.4796558719757977e-09,
1.6277762282636202e-08,
8.615102100471783e-08,
3.3251166768869524e-07,
1.064831343891703e-06,
3.0042406722730696e-06,
7.722404719947578e-06,
1.8469628120696557e-05,
4.168720676495336e-05,
8.969407716668371e-05,
0.00018534670944540425,
0.00036995434452620024,
0.0007164776276992899,
0.0013511756947926401,
0.0024885840769342527,
0.004487272639985271,
0.007937634518341114,
0.013798542180092185,
0.023607852053926744,
0.03980353161167122,
0.06620914631345257,
0.10876176019481658,
0.17659514989891748,
0.28364164912494744,
0.45099127302133024,
0.7103683461225575,
1.109312567732835,
1.7191679096665389,
2.648421848786194,
4.06873544538514,
6.280858212318488,
9.971616727521422,
4.7301698039073534e-09,
3.1078236876760897e-08,
1.2722293347158736e-07,
4.135773629354279e-07,
1.1643319139692173e-06,
2.9633030798047164e-06,
6.990659700961397e-06,
1.5534394085699292e-05,
3.28792052583233e-05,
6.681670495514343e-05,
0.00013116076656301764,
0.0002498651223560153,
0.0004636589258144925,
0.0008405899279454757,
0.0014925644239063773,
0.0026009920182698686,
0.004456120959091793,
0.00751677674389606,
0.012500261250050913,
0.020516489982978243,
0.03326657617193578,
0.053334802223457274,
0.08461553683522265,
0.13293582624456382,
0.20696680596446562,
0.31958257452387945,
0.4899879264178536,
0.7474157763110646,
1.1388011986618074,
1.7490627041810483,
2.7738272660229994,
4.9565545529977175]
return E_ratio, aw
[docs]
def get_coeff_34(E_range):
E_ratio = 1.0
if (E_range < 9649.0):
E_ratio = 9649.0 / E_range
aw = [
3.284029233271286e-05,
0.0001753443602861097,
0.0004416382833363001,
0.0008508530310865113,
0.001435500605855746,
0.0022474948219129297,
0.003366173371324329,
0.004907942966760921,
0.007037748206337417,
0.009983831117905245,
0.014057973412231587,
0.019683414844193538,
0.02743271515183254,
0.03807838736551588,
0.052660091008446035,
0.07257342975355677,
0.09968697353631621,
0.13649612296545818,
0.18632500099011615,
0.2535908886542759,
0.3441500984275648,
0.46575004766668,
0.6286204407593304,
0.8462483877785438,
1.1364010501626234,
1.5224916494827863,
2.035445381255887,
2.716346186249304,
3.620421040738206,
4.823581438788581,
6.434509907627798,
8.620766164346367,
11.679090118639257,
16.31432816585662,
8.4538052355896e-05,
0.00020209318539166847,
0.00033361605486797254,
0.0004901319572083779,
0.0006876803644732437,
0.0009493703556928221,
0.0013072005549165328,
0.0018035890085942577,
0.0024937295684409103,
0.0034499397324379713,
0.00476826036404788,
0.0065772141488150675,
0.009049030640506878,
0.012414126010019873,
0.016979951815415794,
0.02315561592334051,
0.031484041042937,
0.04268391545844468,
0.05770434764295233,
0.07779602216248598,
0.10460388481675117,
0.14028819232415718,
0.18768361957484037,
0.2505110517811862,
0.33366599536844854,
0.4436264870131247,
0.5890644515470643,
0.7818386670916874,
1.0387776399865274,
1.3852730956246349,
1.8635541689521873,
2.5552790973254864,
3.661647560244881,
5.979097365202448]
elif (E_range < 15161.0):
aw = [
2.2094687262226044e-05,
0.00011816317101145329,
0.00029854362986100777,
0.0005779739014899124,
0.0009819112670486493,
0.0015516034173501654,
0.0023507187818878183,
0.0034732685500535195,
0.00505334279364789,
0.007278229326144087,
0.010406819589614869,
0.014795161155330522,
0.020931286923915934,
0.029482154546951286,
0.04135653654321724,
0.05778898092867048,
0.08045158704880996,
0.11160243319073283,
0.15428220578421106,
0.2125741178044686,
0.2919468573365305,
0.3997065271731107,
0.545592087818525,
0.7425611332686428,
1.0078318394632224,
1.3642789958888877,
1.8423416665523202,
2.48272174251732,
3.34042303033154,
4.49133411535853,
6.044309582675748,
8.167153038233048,
11.156471603344267,
15.714736908294974,
5.689777248462453e-05,
0.0001364647878286462,
0.0002266959149215116,
0.0003363227347021138,
0.0004783149170860289,
0.0006715498663212837,
0.0009421913049362618,
0.0013250426248297155,
0.0018660179676916586,
0.00262648268480602,
0.003689465255982615,
0.005167783411766887,
0.007214591621086576,
0.010037222243044243,
0.013915457617770334,
0.01922566776214666,
0.02647264919678102,
0.03633153858613665,
0.049702887216291285,
0.06778493328431712,
0.09216841458681874,
0.12496114099205212,
0.1689524368948172,
0.22783243637559455,
0.3064902609254688,
0.411433435566918,
0.5514107558972641,
0.7384129467740507,
0.9894523508058952,
1.3301301240547123,
1.8028378573543902,
2.489168614889156,
3.5894672490279578,
5.895310588871672]
elif (E_range < 29986.0):
aw = [
1.2132019239369146e-05,
6.506554392462203e-05,
0.00016528151320033429,
0.00032271987439700723,
0.0005549904907647636,
0.0008912186380916402,
0.0013769333304078336,
0.00207998381188429,
0.0030983248733590404,
0.004571097441508312,
0.006694456763746173,
0.009743704668641925,
0.0141037713916676,
0.02031087384545962,
0.029109193553804015,
0.04152772200656733,
0.05898411878582171,
0.08342465247911345,
0.11751221427114543,
0.1648782324800013,
0.23045938623741916,
0.3209467823295079,
0.44538447707509593,
0.6159672665711226,
0.8491072823533072,
1.1668710896432313,
1.5989474740844776,
2.1854242653839444,
2.9809152725739025,
4.061217864274067,
5.535407811609172,
7.571672639611632,
10.466564989305379,
14.91952959384994,
3.126217597574477e-05,
7.540587737410632e-05,
0.00012663926218204873,
0.00019110769108438634,
0.00027820581560489743,
0.000401742249839652,
0.0005808693019056328,
0.0008413761481210849,
0.0012182358494751703,
0.001759637722089599,
0.00253246317609668,
0.003629502407336348,
0.00517906799440672,
0.0073579025027302025,
0.01040852585005309,
0.014662503493069159,
0.020571571811010672,
0.028749161300949972,
0.04002565337439286,
0.05552176300115481,
0.07674587007131725,
0.10572312939601615,
0.14516718239506418,
0.19871016099008434,
0.2712154487579484,
0.3692151806287191,
0.5015525805409441,
0.6803982020135383,
0.9230308920142081,
1.2553734442165063,
1.7200955901449364,
2.3987730554757754,
3.4906629653715,
5.780815874478559]
elif (E_range < 49196.0):
aw = [
7.845531705064765e-06,
4.217579566703759e-05,
0.0001076255406955941,
0.0002116704074840506,
0.0003678026352786526,
0.000598637239972256,
0.000939800791185946,
0.0014447771966513766,
0.002191627535252642,
0.0032927972200630018,
0.004909216880554122,
0.007270144108734435,
0.010700753084513917,
0.015660261119126325,
0.02279439226673758,
0.033007300151380946,
0.04755981744820865,
0.06820320985515761,
0.09736066855556012,
0.13837281589809153,
0.19582885861759528,
0.2760121868265214,
0.3874989458973457,
0.5419617440352286,
0.7552508475941064,
1.048857678610048,
1.4519234318259462,
2.004071631268318,
2.759600998924181,
3.7942044073242056,
5.217087596451319,
7.196718451225344,
10.029695823161129,
14.413626849760721,
2.022742080929783e-05,
4.902127023830298e-05,
8.308838409631613e-05,
0.00012719755797047105,
0.00018877141608928316,
0.00027875729779708194,
0.00041237481957666014,
0.0006104274314639044,
0.0009017824485847016,
0.0013270526990110587,
0.0019435429478184875,
0.0028318806888766317,
0.004105011117474572,
0.0059204430431561185,
0.008496895591229079,
0.012136858469163465,
0.017257067102487582,
0.02442954195917895,
0.03443669419909579,
0.04834513188831433,
0.06760433082481605,
0.09417845588835595,
0.13072271761835513,
0.18082056576074482,
0.2493066841224739,
0.3427177893721846,
0.46995019394607707,
0.6432897947695325,
0.8801980582788952,
1.2068306280775711,
1.6660767737909483,
2.3395502248176463,
3.4258517245052684,
5.7058363778559205]
elif (E_range < 109833.0):
aw = [
3.865603619912879e-06,
2.087430645188353e-05,
5.3738065099243575e-05,
0.00010718454630525007,
0.0001900012319697737,
0.00031718955789873134,
0.0005126537329759226,
0.0008128168395638415,
0.0012719920833382853,
0.001970384125983329,
0.0030256963224515113,
0.00460969356562721,
0.006971643847773047,
0.010471317877795917,
0.01562522911317097,
0.023171141484273704,
0.034157679556524934,
0.05006830174859498,
0.0729921440414609,
0.1058585802344639,
0.1527581466742932,
0.2193802673426605,
0.31360877991591823,
0.4463309353744743,
0.6325368438825444,
0.8928196332263253,
1.2554443726415525,
1.759267106284206,
2.458035348630705,
3.427215114290294,
4.77616847618911,
6.673804689443379,
9.416907604833742,
13.70063546514659,
9.976454765718753e-06,
2.4397956666150202e-05,
4.2091633541468636e-05,
6.622948123983615e-05,
0.00010186030376456873,
0.00015644233845744574,
0.0002404690130604266,
0.0003687782406776715,
0.0005627493820533361,
0.0008533803933831028,
0.0012854870718438482,
0.0019235107198793406,
0.002859592750775737,
0.004224781787747757,
0.0062045295634641385,
0.009060029072853486,
0.0131574822853581,
0.019008095244250185,
0.02732254096178089,
0.03908488812876366,
0.055652686745107795,
0.07889222315477536,
0.11136127365662019,
0.15655676737113142,
0.21925337945032786,
0.30597553969409247,
0.42568066454670456,
0.5908146138910935,
0.8191119697759165,
1.137096600179962,
1.5880319126786595,
2.2536634913094686,
3.331728541732483,
5.597118014202835]
elif (E_range < 276208.0):
aw = [
1.7147362511403065e-06,
9.319802731855972e-06,
2.4302616807482706e-05,
4.948261860530359e-05,
9.026404229610094e-05,
0.0001560250715046401,
0.00026193159643869907,
0.0004316317370034808,
0.0007014310228413562,
0.0011265811323026616,
0.001790538099368303,
0.002818442710487939,
0.004396613985562227,
0.006800572618267542,
0.01043510374307695,
0.015891226467704685,
0.02402679235817231,
0.03607995947798214,
0.05382821091103021,
0.07981021388476216,
0.11763406509273454,
0.17240391938168603,
0.25130849721857534,
0.36443086121519086,
0.525861591666699,
0.7552321345423689,
1.0798433566303969,
1.5376756421659512,
2.1818096583688225,
3.087384050821325,
4.363863206811109,
6.180624421988004,
8.83477361053772,
13.019312520088521,
4.43185996007463e-06,
1.0980758773489005e-05,
1.943725634861249e-05,
3.1800270744211854e-05,
5.129667367655266e-05,
8.27095880626353e-05,
0.0001329766243411858,
0.00021237174266944332,
0.0003362840713927107,
0.0005277050042553842,
0.0008207467241987074,
0.001265656823748127,
0.001935949524221289,
0.002938498181312597,
0.004427745609890722,
0.00662561356009038,
0.009849268137973679,
0.01454967083492188,
0.021364880820575197,
0.031193465982641635,
0.04529525929852885,
0.06542926430703719,
0.09404211859223464,
0.13452588222462222,
0.19157264817324873,
0.27166955823017896,
0.3838116245690371,
0.5405893273969905,
0.7600124959108089,
1.0690028998164918,
1.5112619233396074,
2.168763561959426,
3.238506003394989,
5.489633460260332]
elif (E_range < 852991.0):
aw = [
6.35749973501056e-07,
3.492169089246581e-06,
9.302356973224121e-06,
1.9592566972831844e-05,
3.7377729183938204e-05,
6.798117415794394e-05,
0.00012023568563760358,
0.0002084236297872551,
0.00035534106272681936,
0.0005969900768905776,
0.0009896587375544644,
0.001620507511517086,
0.0026232770839453665,
0.004201426984363522,
0.006661986770200809,
0.010464757550535931,
0.01629338409394917,
0.025157418466823473,
0.038538075135755495,
0.05859528378548497,
0.088460352930584,
0.13264771717146925,
0.19763178422753508,
0.2926522443111407,
0.4308357751366649,
0.6307586891808089,
0.9186346830441839,
1.3314221217344053,
1.9213813610912545,
2.76319200354934,
3.9663504041897766,
5.700732751780247,
8.263919165830904,
12.346999008174697,
1.646994148539095e-06,
4.168704436960474e-06,
7.695536879782202e-06,
1.3374173961844378e-05,
2.3064311988245763e-05,
3.958321376425686e-05,
6.725628425988863e-05,
0.00011284251346096221,
0.0001868773135187132,
0.0003056293856662244,
0.0004939782736171523,
0.0007896314087630558,
0.0012492643080895956,
0.001957402304692391,
0.0030391875844591482,
0.004678623430285177,
0.007144500300310407,
0.010827043576140467,
0.016289458703073287,
0.024340088611569204,
0.03613298947254673,
0.05330759009262987,
0.07818208570144934,
0.11402099109647866,
0.16540631928634394,
0.23875782212611196,
0.3430802599354601,
0.49109150628018977,
0.7010818269759505,
1.0004112023843146,
1.4333015739126787,
2.0820719815510036,
3.1430997613534135,
5.379828456565977]
else:
aw = [
1.117489994479298e-09,
1.0437767934573854e-08,
5.084528505414382e-08,
1.872213850467172e-07,
5.813350591395648e-07,
1.6041946888512065e-06,
4.054564459005386e-06,
9.568204612679587e-06,
2.1360561665920905e-05,
4.553900601252074e-05,
9.336828090817695e-05,
0.00018510270750313838,
0.0003563527131882449,
0.0006684922084643366,
0.0012254246986170441,
0.002200236453707954,
0.0038770557829877106,
0.006716063190006149,
0.011453417554768287,
0.019253386304452922,
0.0319378960087355,
0.052330033425615166,
0.0847641054822857,
0.13583764990140365,
0.21551319196591645,
0.3387243798072503,
0.527711765290698,
0.8154303015314811,
1.2505960123470905,
1.9054661547111273,
2.8889237961629872,
4.37232400643935,
6.65560984092506,
10.426038695834771,
3.3457340053937633e-09,
1.873386519501546e-08,
7.20396391424945e-08,
2.259124367219339e-07,
6.20700398368113e-07,
1.5516519034576341e-06,
3.6098773524770243e-06,
7.932321947059267e-06,
1.6633942623129364e-05,
3.353876533808818e-05,
6.539287755778778e-05,
0.00012384295496778607,
0.00022861478182158466,
0.0004125495803926801,
0.0007294839100515848,
0.0012664381661580966,
0.002162272032202245,
0.003635959152010226,
0.006029053426126615,
0.009868936147464018,
0.015962272528537477,
0.025532104472748035,
0.040417626126145245,
0.06336363493503006,
0.09843823938908386,
0.1516353587304579,
0.23175010955983177,
0.35168177852781385,
0.5304884039781542,
0.7970145382697631,
1.197557199061726,
1.8163260289376923,
2.848850144582029,
5.042342061181277]
return E_ratio, aw