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Please Select Elements
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Z=1WasserstoffH
Z=2HeliumHe
Z=3LithiumLi
Z=4BerylliumBe
Z=5BorB
Z=6KohlenstoffC
Z=7StickstoffN
Z=8SauerstoffO
Z=9FluorF
Z=10NeonNe
Z=11NatriumNa
Z=12MagnesiumMg
Z=13AluminiumAl
Z=14SiliziumSi
Z=15PhosphorP
Z=16SchwefelS
Z=17ChlorCl
Z=18ArgonAr
Z=19KaliumK
Z=20CalciumCa
Z=21ScandiumSc
Z=22TitanTi
Z=23VanadiumV
Z=24ChromCr
Z=25ManganMn
Z=26EisenFe
Z=27KobaltCo
Z=28NickelNi
Z=29KupferCu
Z=30ZinkZn
Z=31GalliumGa
Z=32GermaniumGe
Z=33ArsenAs
Z=34SelenSe
Z=35BromBr
Z=36KryptonKr
Z=37RubidiumRb
Z=38StrontiumSr
Z=39YttriumY
Z=40ZirkonZr
Z=41NiobNb
Z=42MolybdänMo
Z=43TechnetiumTc
Z=44RutheniumRu
Z=45RohdiumRh
Z=46PalladiumPd
Z=47SilberAg
Z=48CadmiumCd
Z=49IndiumIn
Z=50ZinnSn
Z=51AntimonSb
Z=52TellurTe
Z=53JodJ
Z=54XenonXe
Z=55CäsiumCs
Z=56BariumBa
Z=57LanthanLa
Z=58CerCe
Z=59PraseodymPr
Z=60NeodymNd
Z=61PromethiumPm
Z=62SamariumSm
Z=63EuropiumEu
Z=64GadoliniumGd
Z=65TerbiumTb
Z=66DysprosiumDy
Z=67HolmiumHo
Z=68ErbiumEr
Z=69ThuliumTm
Z=70YtterbiumYb
Z=71LutetiumLu
Z=72HafniumHf
Z=73TantalTa
Z=74WolframW
Z=75RheniumRe
Z=76OsmiumOs
Z=77IridiumIr
Z=78PlatinPt
Z=79GoldAu
Z=80QuecksilberHg
Z=81ThalliumTl
Z=82BleiPb
Z=83WismutBi
Z=84PoloniumPo
Z=85AstatinAt
Z=86RadonRn
Z=87FranciumFr
Z=88RadiumRa
Z=89ActiniumAc
Z=90ThoriumTh
Z=91ProtactiniumPa
Z=92UranU
Z=93NeptuniumNp
Z=94PlutoniumPu
Z=95AmericiumAm
Z=96CuriumCm
Z=97BerkeliumBk
Z=98CaliforniumCf
Z=99EinsteiniumEs
Z=100FermiumFm
Z=101MendeleviumMd
Z=102NobeliumNo
Z=103LawrenciumLr
Z=104RutherfordiumRf
Z=105DubniumDb
Z=106SeaborgiumSg
Z=107BohriumBh
Z=108HassiumHs
Z=109MeitneriumMt
Z=110DarmstadtiumDs
Z=111RoentgeniumRg
Z=112CoperniciumCn
Z=113UnuntriumUut
Z=114FleroviumFl
Z=115UnunpentiumUup
Z=116LivermoriumLv
Z=117UnunseptiumUus
Z=118UnunoctiumUuo


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Actual Settings

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Search for potenz N and factor2 in selected elements Z, for given result with the multiplikation L*factor2
                     L = Z * Cx * Basis^N * Factor
                   N = log(L/(Factor*Z*Cx)) / log(Basis)

and f=c/L and T=L/c with c= m/s and Comptonwavelength Cx [m]:   Ce= 2.4263102389E-12
Cp= 1.32140985623E-15  Cn= 1.3195909068E-15  Plk= 1.616199E-35  orb_Mercur= 57.91E9
Cx m    Basis   Factor
  Basis B with e= 2.7182818284590  phi= 1.618034  or 2 ,   Factor with pi= 3.141592   2pi= 6.283185  g= 0.61803398874989  or 18
show  digits                  Select Units
L Length   Lj   pc   AE   earthR   km   m   dm   cm   mm   µm   nm   A~   pm   fm
Frequency   THz   GHz   MHz   kHz   Hz   mHz   µHz
T Time   j   d   h   min   s   ms   µs   ns   ps
V Volume =L^3   km^3   m^3   hL=100L   dL=10L   dm^3=L   10ml=cL   cm^3=mL   mm^3=µL
m Mass =V*dens.   Mt   kt   t   kg   g   mg   µg   ng   pg   fg

       (Reset with deleting the number)      Reset 3 Factor-Search (Example1)      (Example2)


1 Listing - Modus     2 Searching - Modus     3 Factor-Search     4 Basis(+Factor)-Search     5 Basis(+Factor)-Harmonics-Search

Value for Searching: pm      Length
search factor2 (integer) with lattice constants: 118L or 118R
By using this code as text you call the physical lattice constants and atomic radii from the database, for many Z.
If you use the value Factor additional, you can find rational numbers between L and Lattice(Z): 0.333333*ResultF = 1/3*ResultF or Factor=0.5 with Basis>2
error L maximal   0.1% 0.5% 1% 2% 5% all

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Results (search for N and factor2 with lattice constants(Z) )      with Cn      Attention ! Factor 0.6180339887498948482 to L and to T, invers to f      Attention ! Basis 2.7182818284590452353602874713527
BFerror L[%] ZN[1pm=1.0E-12m] Factor2[1MHz=1.0E6Hz]
2.710.618err=-0.775BeZ=4(11.16) N=14L=3923.1454689 pm /17.1316396=229pm hcpf=76416350191.05006 MHz
2.710.618err=-1.02BZ=5(12.30) N=13L=1804.0557034 pm /2.0202192=893pm a-opf=166176940897.19543 MHz
2.710.618err=-0.0285NaZ=11(10.77) N=8L=26.7423898 pm *16.0045532=428pm bccf=11210383985706.78516 MHz
2.710.618err=-0.881MgZ=12(10.40) N=9L=79.3018387 pm *4.0352154=320pm hexf=3780397312980.83984 MHz
2.710.618err=-1.46TiZ=22(9.71) N=9L=145.3867043 pm *2.0290714=295pm bccf=2062034897989.54932 MHz
2.710.618err=-0.756VZ=23(9.69) N=12L=3052.9050184 pm /10.0755941=303pm bccf=98199077989.07805 MHz
2.710.618err=-1.38CrZ=24(9.60) N=11L=1171.9314701 pm /4.0551262=289pm bccf=255810570549.59579 MHz
2.710.618err=-0.209CrZ=24(9.60) N=12L=3185.6400193 pm /11.0229758=289pm bccf=94107449739.53313 MHz
2.710.618err=-1.47MnZ=25(10.68) N=13L=9020.2785170 pm /10.1465450=889pm bccf=33235388179.43908 MHz
2.710.618err=-0.557FeZ=26(9.51) N=12L=3451.1100209 pm /12.0668183=286pm bccf=86868415144.18442 MHz
2.710.618err=-1.99CoZ=27(9.34) N=12L=3583.8450217 pm /14.2782670=251pm fccf=83651066435.14055 MHz
2.710.618err=-0.403NiZ=28(9.64) N=7L=25.0421192 pm *14.0563184=352pm fccf=11971529066512.33203 MHz
2.710.618err=-0.245CuZ=29(9.40) N=7L=25.9364806 pm *11.0269394=286pm fccf=11558717719391.21875 MHz
2.710.618err=-1.42CuZ=29(9.40) N=8L=70.5026639 pm *4.0565843=286pm fccf=4252214615268.09131 MHz
2.710.618err=-1.3ZnZ=30(9.29) N=10L=538.9118679 pm /2.0259845=266pm a-hcpf=556292180362.16541 MHz
2.710.618err=-0.557ZnZ=30(9.92) N=12L=3982.0500241 pm /8.0445455=495pm c-hcpf=75285959791.62650 MHz
2.710.618err=-1.57GeZ=32(9.98) N=10L=574.8393257 pm /1.0156172=566pm diaf=521523919089.53015 MHz
2.710.618err=-0.195AsZ=33(9.64) N=7L=29.5139262 pm *14.0272764=414pm rf=10157661026131.67969 MHz
2.710.618err=-1.57SrZ=38(9.89) N=11L=1855.5581609 pm /3.0468935=609pm bccf=161564570873.42892 MHz
2.710.618err=-1.03YZ=39(9.35) N=12L=5176.6650313 pm /14.1438935=366pm hcpf=57912276762.78960 MHz
2.710.618err=-0.32ZrZ=40(9.20) N=7L=35.7744560 pm *9.0287886=323pm bccf=8380070346558.63379 MHz
2.710.618err=-0.786ZrZ=40(9.20) N=11L=1953.2191168 pm /6.0471180=323pm bccf=153486342329.75751 MHz
2.710.618err=-1.12NbZ=41(9.20) N=11L=2002.0495947 pm /6.0668170=330pm bccf=149742773004.64145 MHz
2.710.618err=-1.94TcZ=43(8.96) N=6L=14.1477384 pm *19.3670530=274pm hcpf=21190132971403.55859 MHz
2.710.618err=-1.79TcZ=43(8.96) N=7L=38.4575402 pm *7.1247406=274pm hcpf=7795414275868.49609 MHz
2.710.618err=-0.635RuZ=44(9.38) N=11L=2148.5410284 pm /5.0317120=427pm c-hcpf=139533038481.59772 MHz
2.710.618err=-1.94AgZ=47(9.27) N=12L=6238.5450377 pm /15.2905516=408pm fccf=48054867952.10201 MHz
2.710.618err=-0.523CdZ=48(9.57) N=7L=42.9293472 pm *13.0679835=561pm c-hcpf=6983391955465.52734 MHz
2.710.618err=-1.22InZ=49(9.35) N=12L=6504.0150393 pm /14.1699674=459pm a-tpf=46093444770.38358 MHz
2.710.618err=-1.28InZ=49(9.42) N=12L=6504.0150393 pm /13.1660223=494pm c-tpf=46093444770.38358 MHz
2.710.618err=-0.115SnZ=50(9.57) N=7L=44.7180700 pm *13.0148730=582pm tpf=6704056277246.90625 MHz
2.710.618err=-1.74SnZ=50(8.96) N=6L=16.4508586 pm *19.3302980=318pm diaf=18223514355407.06250 MHz
2.710.618err=-1.59SnZ=50(8.96) N=7L=44.7180700 pm *7.1112192=318pm diaf=6704056277246.90625 MHz
2.710.618err=-1.8SbZ=51(9.29) N=10L=916.1501754 pm /2.0358893=450pm rf=327230694330.68555 MHz
2.710.618err=-0.289SbZ=51(9.29) N=12L=6769.4850409 pm /15.0433001=450pm rf=44285858700.95676 MHz
2.710.618err=-0.588CsZ=55(8.69) N=11L=2685.6762855 pm /10.0587127=267pm bccf=111626430785.27815 MHz
2.710.618err=-0.232BaZ=56(9.30) N=7L=50.0842384 pm *10.0231134=502pm bccf=5985764533256.16602 MHz
2.710.618err=-0.197BaZ=56(9.30) N=10L=1005.9688200 pm /2.0039220=502pm bccf=298013668051.16003 MHz
2.710.618err=-0.246LaZ=57(9.00) N=6L=18.7539788 pm *20.0490789=376pm fccf=15985538908251.81055 MHz
2.710.618err=-0.182LaZ=57(9.00) N=9L=376.6837339 pm /1.0018184=376pm fccf=795873118522.28223 MHz
2.710.618err=-0.611LaZ=57(9.00) N=12L=7565.8950457 pm /20.1220613=376pm fccf=39624189364.01395 MHz
2.710.618err=-1.05HfZ=72(8.60) N=10L=1293.3884829 pm /4.0418390=320pm bccf=231788408484.23563 MHz
2.710.618err=-1.09TaZ=73(8.62) N=7L=65.2883822 pm *5.0544980=330pm bccf=4591819367977.33301 MHz
2.710.618err=-1.69ReZ=75(8.41) N=6L=24.6762879 pm *11.1848265=276pm hcpf=12149009570271.37500 MHz
2.710.618err=-0.41OsZ=76(8.39) N=7L=67.9714664 pm *4.0163912=273pm a-hcpf=4410563340294.01758 MHz
2.710.618err=-0.0179OsZ=76(8.39) N=10L=1365.2433986 pm /5.0008916=273pm a-hcpf=219589018564.01266 MHz
2.710.618err=-1.4OsZ=76(8.85) N=6L=25.0053051 pm *17.2363424=431pm c-hcpf=11989154181188.85742 MHz
2.710.618err=-0.786IrZ=77(8.72) N=6L=25.3343223 pm *15.1178309=383pm fccf=11833450880134.45703 MHz
2.710.618err=-1.84PtZ=78(8.73) N=6L=25.6633394 pm *15.2747074=392pm fccf=11681739971414.78125 MHz
2.710.618err=-1.34HgZ=80(7.79) N=5L=9.6830923 pm *16.2138288=157pm a-rf=30960404951853.47656 MHz
2.710.618err=-1.71HgZ=80(7.79) N=10L=1437.0983143 pm /9.1534924=157pm a-rf=208609567635.81207 MHz
2.710.618err=-0.166HgZ=80(8.43) N=11L=3906.4382335 pm /13.0214608=300pm c-rf=76743171164.87875 MHz
2.710.618err=-1.93PbZ=82(8.91) N=6L=26.9794081 pm *18.3473261=495pm fccf=11111898997199.42969 MHz
2.710.618err=-1.12PbZ=82(8.91) N=11L=4004.0991894 pm /8.0890893=495pm fccf=74871386502.32072 MHz

22 Treffer,mit factor2: 2(1),1(2*),4(2/),0(3*),1(3/),1(5*),2(5/),2(7*),0(7/),bei Basis=2.7182818284590452353602874713527, Cx=1.3195909068E-15, Factor=0.6180339887498948482, c=299792458, genau=2%, mod=3, Suchwort=118L pm
 
 
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