time n\-(x) n\-(x) n\-(x) time triexponential function time biexponential function ps norm. norm. norm. ps ps 1.478 eV 1.468 eV 1.445 eV 0 -- -- -- 2E-9 -0.0147453487333233 1 0.502880308008226 1 0.0665069458215754 0 0 1 0.0113631249338135 1.00763752923869 0.502904157040051 3 0.0345512456112283 0.0355887546006824 0.0566073745410045 2.002002004 0.03658635297604 1.01533339033025 0.502928187295734 6 0.0938682483654154 0.139915488972868 0.169242863120371 3 0.0608120875850704 1.02308802878592 0.502952400145242 10 0.19805579582623 0.191362648206526 0.270813665551186 4.004004006 0.0843156216475618 1.03090189351953 0.502976796968787 18 0.27048907732995 0.288730855307381 0.395957428144331 6 0.128587740920554 1.03877543687351 0.503001379156905 30 0.454183051221756 0.477316275168784 0.527993336756471 6.006006008 0.128716221333213 1.04670911464506 0.503026148110531 60 0.641677649327336 0.653236649718449 0.707596306728756 8.00800801 0.170040881346538 1.05470338611257 0.503051105241069 100 0.785922697222915 0.763693872011543 0.795650895297433 10 0.208337211616787 1.06275871406215 0.503076251970478 180 0.842908574417859 0.887390947960184 0.916193362678522 10.010010012 0.208522914173591 1.07087556481447 0.503101589731341 300 0.930089900741362 0.961511219649823 0.991692600182585 12.012012014 0.244377708928602 1.07905440825174 0.503127119966946 450 1 1 1 14.014014016 0.277804109927966 1.0872957178449 0.503152844131366 600 0.962689978986377 0.977527622818949 0.980984897354171 16.016016018 0.308985689219736 1.09559997068105 0.503178763689533 750 0.867050147617187 0.881849560616999 0.908511723764832 18 0.337838747799313 1.10396764749103 0.503204880117322 900 0.823181140786224 0.840880706723469 0.868225511529691 18.01801802 0.33809192122599 1.11239923267732 0.503231194901626 1200 0.686459507225037 0.703018375010183 0.696144313310957 20.020020022 0.36527926702795 1.12089521434199 0.503257709540443 1500 0.560363175792675 0.610881470796825 0.561195786594908 22.022022024 0.390692175244502 1.12945608431503 0.50328442554295 1800 0.467699577757597 0.475405370070644 0.462809075558383 24.024024026 0.414464005920085 1.13808233818281 0.503311344429586 26.026026028 0.43671788334439 1.14677447531672 0.503338467732139 28.02802803 0.457567483270719 1.15553299890213 0.503365796993822 30 0.476833620987035 1.16435841596752 0.503393333769361 30.030030032 0.477117759579319 1.17325123741379 0.503421079625075 32.032032034 0.495465615043835 1.18221197804387 0.503449036138962 34.034034036 0.512700520500688 1.19124115659251 0.503477204900786 36.036036038 0.528905086390443 1.20033929575632 0.503505587512159 38.03803804 0.544155590334892 1.209506922224 0.503534185586627 40.040040042 0.558522464131764 1.21874456670689 0.503563000749761 42.042042044 0.572070743288829 1.22805276396961 0.503592034639239 44.044044046 0.584860481978997 1.23743205286108 0.503621288904938 46.046046048 0.596947136076384 1.2468829763457 0.503650765209018 48.04804805 0.608381916728669 1.25640608153477 0.503680465226015 50.050050052 0.619212116732211 1.26600191971816 0.503710390642929 52.052052054 0.629481411802047 1.27567104639625 0.503740543159315 54.054054056 0.639230138667947 1.28541402131205 0.503770924487372 56.056056058 0.648495551779164 1.29523140848364 0.503801536352036 58.05805806 0.657312060263371 1.30512377623681 0.503832380491072 60 0.665465247999953 1.31509169723793 0.503863458655167 60.060060062 0.665711446658713 1.32513574852714 0.503894772608022 62.062062064 0.673723068821057 1.33525651155176 0.503926324126447 64.064064066 0.681374046300668 1.34545457219988 0.503958115000456 66.066066068 0.688689432382967 1.35573052083439 0.503990147033361 68.06806807 0.695692372896163 1.36608495232705 0.504022422041869 70.070070072 0.702404252803688 1.37651846609298 0.504054941856178 72.072072074 0.708844831521069 1.38703166612537 0.504087708320074 74.074074076 0.715032367824606 1.39762516103039 0.504120723291029 76.076076078 0.720983735152476 1.40829956406249 0.504153988640301 78.07807808 0.726714528037329 1.41905549315985 0.504187506253029 80.080080082 0.732239160352552 1.42989357098019 0.504221278028339 82.082082084 0.737570956001936 1.44081442493677 0.504255305879439 84.084084086 0.742722232634027 1.45181868723475 0.504289591733723 86.086086088 0.747704378917704 1.46290699490778 0.504324137532871 88.08808809 0.752527925874304 1.47407998985488 0.504358945232953 90.090090092 0.757202612723456 1.48533831887756 0.504394016804534 92.092092094 0.761737447664671 1.49668263371734 0.504429354232772 94.094094096 0.766140763984222 1.5081135910934 0.50446495951753 96.096096098 0.770420271846922 1.51963185274064 0.504500834673474 98.0980981 0.774583106104722 1.53123808544799 0.504536981730186 100 0.778435750101428 1.542932961097 0.504573402732264 100.100100102 0.77863587042853 1.55471715670072 0.504610099739434 102.102102104 0.782584678046074 1.56659135444291 0.504647074826657 104.104104106 0.786435189346886 1.57855624171755 0.504684330084237 106.106106108 0.790192646595386 1.59061251116859 0.504721867617931 108.10810811 0.79386190597453 1.60276086073007 0.50475968954906 110.110110112 0.797447467165353 1.61500199366652 0.504797798014616 112.112112114 0.800953500651941 1.6273366186137 0.504836195167382 114.114114116 0.804383872926824 1.63976544961955 0.504874883176033 116.116116118 0.807742169758254 1.65228920618562 0.504913864225262 118.11811812 0.811031717668493 1.66490861330863 0.504953140515881 120.120120122 0.814255603760678 1.67762440152253 0.504992714264947 122.122122124 0.817416694021332 1.6904373069407 0.505032587705868 124.124124126 0.820517650215748 1.70334807129863 0.505072763088528 126.126126128 0.823560945484493 1.71635744199684 0.505113242679395 128.12812813 0.826548878740942 1.72946617214414 0.505154028761645 130.130130132 0.829483587962066 1.74267502060122 0.505195123635277 132.132132134 0.832367062457599 1.7559847520246 0.505236529617236 134.134134136 0.835201154196179 1.76939613691088 0.505278249041529 136.136136138 0.837987588260979 1.78290995164136 0.505320284259345 138.13813814 0.840727972501808 1.79652697852698 0.505362637639182 140.140140142 0.843423806445474 1.81024800585357 0.505405311566965 142.142142144 0.846076489521462 1.82407382792756 0.505448308446167 144.144144146 0.848687328655599 1.83800524512189 0.50549163069794 146.146146148 0.851257545280309 1.85204306392238 0.505535280761232 148.14814815 0.853788281806338 1.8661880969744 0.505579261092918 150.150150152 0.856280607597361 1.88044116312994 0.505623574167923 152.152152154 0.858735524485723 1.89480308749498 0.505668222479349 154.154154156 0.861153971864586 1.90927470147729 0.505713208538607 156.156156158 0.863536831389077 1.92385684283451 0.505758534875538 158.15815816 0.865884931316508 1.93855035572272 0.505804204038552 160.160160162 0.868199050513418 1.95335609074523 0.505850218594748 162.162162164 0.870479922155066 1.96827490500187 0.505896581130053 164.164164166 0.872728237141044 1.9833076621386 0.505943294249353 166.166166168 0.874944647248807 1.99845523239751 0.505990360576619 168.16816817 0.877129768045318 2.01371849266716 0.506037782755051 170.170170172 0.879284181575373 2.0290983265334 0.506085563447202 172.172172174 0.881408438843808 2.04459562433048 0.506133705335121 174.174174176 0.88350306210742 2.0602112831926 0.506182211120486 176.176176178 0.885568546991245 2.07594620710586 0.506231083524741 178.17817818 0.887605364442703 2.09180130696059 0.506280325289232 180 0.889434333015353 2.10777750060403 0.50632993917535 180.180180182 0.889613962536055 2.12387571289355 0.506379927964668 182.182182184 0.891594768138722 2.14009687575012 0.506430294459079 184.184184186 0.893548188450043 2.15644192821229 0.506481041480942 186.186186188 0.895474612422313 2.17291181649055 0.506532171873222 188.18818819 0.89737441207314 2.1895074940221 0.506583688499629 190.190190192 0.899247943697476 2.20622992152602 0.50663559424477 192.192192194 0.901095548987033 2.22308006705896 0.506687892014287 194.194194196 0.902917556064217 2.24005890607107 0.506740584735005 196.196196198 0.904714280437131 2.25716742146258 0.506793675355077 198.1981982 0.906486025881738 2.27440660364062 0.506847166844135 200.200200202 0.908233085256758 2.2917774505766 0.506901062193434 202.202202204 0.909955741256493 2.30928096786395 0.506955364416005 204.204204206 0.911654267106331 2.32691816877636 0.507010076546799 206.206206208 0.913328927205352 2.34469007432643 0.507065201642847 208.20820821 0.914979977720078 2.36259771332477 0.507120742783403 210.210210212 0.916607667133154 2.38064212243955 0.507176703070102 212.212212214 0.918212236750386 2.39882434625655 0.507233085627113 214.214214216 0.919793921169366 2.41714543733957 0.507289893601291 216.216216218 0.921352948712614 2.43560645629141 0.507347130162335 218.21821822 0.922889541827976 2.45420847181529 0.507404798502944 220.220220222 0.924403917458788 2.47295256077662 0.507462901838974 222.222222224 0.925896287386122 2.49183980826545 0.507521443409596 224.224224226 0.927366858545269 2.51087130765921 0.507580426477456 226.226226228 0.92881583331843 2.53004816068605 0.507639854328833 228.22822823 0.930243409805442 2.54937147748858 0.507699730273804 230.230230232 0.931649782074224 2.56884237668819 0.5077600576464 232.232232234 0.933035140392502 2.58846198544973 0.507820839804777 234.234234236 0.934399671442253 2.60823143954685 0.507882080131372 236.236236238 0.93574355851818 2.62815188342766 0.507943782033073 238.23823824 0.937066981711457 2.64822447028106 0.508005948941382 240.240240242 0.938370118079867 2.66845036210345 0.508068584312583 242.242242244 0.939653141805378 2.68883072976601 0.508131691627909 244.244244246 0.940916224340118 2.70936675308249 0.508195274393711 246.246246248 0.942159534541636 2.73005962087749 0.508259336141628 248.24824825 0.943383238798279 2.75091053105532 0.508323880428758 250.250250252 0.944587501145424 2.77192069066927 0.508388910837826 252.252252254 0.945772483373292 2.79309131599159 0.508454430977361 254.254254256 0.946938345126953 2.81442363258381 0.508520444481867 256.256256258 0.948085243999157 2.83591887536774 0.508586955011997 258.25825826 0.949213335616505 2.85757828869691 0.50865396625473 260.260260262 0.950322773719496 2.87940312642869 0.508721481923548 262.262262264 0.951413710236901 2.90139465199676 0.50878950575861 264.264264266 0.952486295354902 2.92355413848437 0.508858041526931 266.266266268 0.953540677581399 2.94588286869794 0.508927093022566 268.26826827 0.954577003805846 2.96838213524138 0.508996664066784 270.270270272 0.955595419354966 2.9910532405909 0.509066758508254 272.272272274 0.956596068044648 3.01389749717039 0.509137380223222 274.274274276 0.957579092228328 3.03691622742745 0.509208533115701 276.276276278 0.958544632842107 3.06011076390988 0.50928022111765 278.27827828 0.95949282944687 3.08348244934288 0.509352448189161 280.280280282 0.960423820267624 3.10703263670673 0.509425218318644 282.282282284 0.961337742230261 3.13076268931514 0.509498535523017 284.284284286 0.962234730995956 3.15467398089419 0.50957240384789 286.286286288 0.963114920993364 3.17876789566181 0.509646827367759 288.28828829 0.963978445448792 3.20304582840794 0.509721810186192 290.290290292 0.964825436414491 3.22750918457527 0.509797356436022 292.292292294 0.965656024795217 3.25215938034061 0.50987347027954 294.294294296 0.966470340373188 3.27699784269684 0.509950155908684 296.296296298 0.967268511831554 3.30202600953557 0.51002741754524 298.2982983 0.968050666776494 3.32724532973031 0.510105259441032 300 0.968703000049492 3.35265726322043 0.510183685878118 300.300300302 0.96881693175805 3.37826328109559 0.510262701168989 302.302302304 0.969567432289778 3.40406486568095 0.51034230965677 304.304304306 0.970302292867312 3.43006351062299 0.51042251571541 306.306306308 0.971021636985925 3.45626072097594 0.510503323749894 308.30830831 0.971725587157158 3.48265801328893 0.510584738196433 310.310310312 0.972414264924575 3.50925691569379 0.510666763522676 312.312312314 0.973087790878734 3.53605896799348 0.510749404227904 314.314314316 0.973746284671405 3.56306572175127 0.510832664843242 316.316316318 0.974389865029101 3.59027874038052 0.510916549931857 318.31831832 0.975018649765982 3.61769959923523 0.511001064089173 320.320320322 0.975632755796155 3.64532988570119 0.511086211943067 322.322322324 0.976232299145439 3.67317119928791 0.511171998154088 324.324324326 0.976817394962609 3.70122515172119 0.511258427415658 326.326326328 0.977388157530175 3.72949336703644 0.511345504454287 328.32832833 0.977944700274723 3.75797748167268 0.51143323402978 330.330330332 0.978487135776845 3.7866791445673 0.511521620935455 332.332332334 0.979015575780689 3.81560001725148 0.51161066999835 334.334334336 0.979530131203163 3.84474177394638 0.511700386079439 336.336336338 0.980030912142807 3.87410610166012 0.51179077407385 338.33833834 0.980518027888355 3.90369470028534 0.511881838911078 340.340340342 0.980991586927024 3.93350928269769 0.5119735855552 342.342342344 0.981451696952526 3.96355157485496 0.512066019005101 344.344344346 0.981898464872844 3.99382331589697 0.512159144294681 346.346346348 0.982331996817766 4.0243262582463 0.512252966493088 348.34834835 0.982752398146211 4.05506216770969 0.512347490704929 350.350350352 0.983159773453353 4.08603282358029 0.512442722070497 352.352352354 0.983554226577555 4.11724001874063 0.51253866576599 354.354354356 0.983935860607126 4.14868555976647 0.512635327003738 356.356356358 0.984304777886911 4.18037126703133 0.512732711032431 358.35835836 0.984661080024734 4.21229897481186 0.512830823137334 360.360360362 0.985004867897687 4.2444705313941 0.512929668640524 362.362362364 0.985336241658284 4.27688779918038 0.513029252901114 364.364364366 0.985655300740491 4.30955265479722 0.513129581315482 366.366366368 0.98596214386563 4.34246698920392 0.513230659317497 368.36836837 0.986256869048172 4.37563270780201 0.513332492378756 370.370370372 0.98653957360142 4.40905173054562 0.513435086008809 372.372372374 0.986810354143089 4.44272599205257 0.513538445755395 374.374374376 0.987069306600801 4.47665744171636 0.513642577204676 376.376376378 0.987316526217469 4.51084804381908 0.513747485981468 378.37837838 0.987552107556614 4.54529977764504 0.513853177749477 380.380380382 0.98777614450759 4.58001463759542 0.513959658211537 382.382382384 0.987988730290732 4.61499463330369 0.514066933109844 384.384384386 0.988189957462432 4.65024178975195 0.514175008226194 386.386386388 0.988379917920144 4.68575814738816 0.514283889382226 388.38838839 0.988558702907321 4.72154576224427 0.514393582439654 390.390390392 0.988726403018287 4.75760670605523 0.514504093300515 392.392392394 0.988883108203048 4.79394306637892 0.514615427907404 394.394394396 0.989028907772048 4.83055694671701 0.514727592243721 396.396396398 0.98916389040086 4.86745046663673 0.514840592333908 398.3983984 0.989288144134828 4.90462576189355 0.514954434243699 400.400400402 0.989401756393662 4.94208498455485 0.515069124080362 402.402402404 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