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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
f  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 Cp      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=-0.914BeZ=4(11.16) N=14L=3928.5532079 pm /17.1552542=229pm hcpf=76311161421.67064 MHz
2.710.618err=-1.16BZ=5(12.30) N=13L=1806.5424484 pm /2.0230039=893pm a-opf=165948194720.90576 MHz
2.710.618err=-1.96BZ=5(11.73) N=9L=33.0879791 pm *15.2925628=506pm c-opf=9060464433101.44531 MHz
2.710.618err=-0.742MgZ=12(10.39) N=9L=79.4111499 pm *4.0296608=320pm hexf=3775193513792.26904 MHz
2.710.618err=-1.32TiZ=22(9.71) N=9L=145.5871081 pm *2.0262783=295pm bccf=2059196462068.51025 MHz
2.710.618err=-0.895VZ=23(9.69) N=12L=3057.1132013 pm /10.0894825=303pm bccf=98063904820.74376 MHz
2.710.618err=-1.52CrZ=24(9.60) N=11L=1173.5468829 pm /4.0607159=289pm bccf=255458441731.04993 MHz
2.710.618err=-0.348CrZ=24(9.60) N=12L=3190.0311666 pm /11.0381701=289pm bccf=93977908786.54610 MHz
2.710.618err=-1.61MnZ=25(10.68) N=13L=9032.7122420 pm /10.1605312=889pm bccf=33189638944.18115 MHz
2.710.618err=-0.696FeZ=26(9.51) N=12L=3455.8670971 pm /12.0834514=286pm bccf=86748838879.88870 MHz
2.710.618err=-0.265NiZ=28(9.64) N=7L=25.0766377 pm *14.0369695=352pm fccf=11955049996170.08008 MHz
2.710.618err=-0.107CuZ=29(9.40) N=7L=25.9722320 pm *11.0117606=286pm fccf=11542806892853.87305 MHz
2.710.618err=-1.28CuZ=29(9.40) N=8L=70.5998462 pm *4.0510003=286pm fccf=4246361349292.95605 MHz
2.710.618err=-1.44ZnZ=30(9.29) N=10L=539.6547143 pm /2.0287771=266pm a-hcpf=555526432067.18140 MHz
2.710.618err=-0.696ZnZ=30(9.91) N=12L=3987.5389582 pm /8.0556343=495pm c-hcpf=75182327029.23688 MHz
2.710.618err=-1.71GeZ=32(9.98) N=10L=575.6316953 pm /1.0170171=566pm diaf=520806030062.98267 MHz
2.710.618err=-0.057AsZ=33(9.64) N=7L=29.5546088 pm *14.0079675=414pm rf=10143678784629.16211 MHz
2.710.618err=-1.71SrZ=38(9.88) N=11L=1858.1158979 pm /3.0510934=609pm bccf=161342173724.87363 MHz
2.710.618err=-1.17YZ=39(9.35) N=12L=5183.8006457 pm /14.1633897=366pm hcpf=57832559253.25912 MHz
2.710.618err=-0.182ZrZ=40(9.20) N=7L=35.8237682 pm *9.0163603=323pm bccf=8368534997319.05859 MHz
2.710.618err=-0.925ZrZ=40(9.20) N=11L=1955.9114715 pm /6.0554535=323pm bccf=153275065038.62997 MHz
2.710.618err=-1.26NbZ=41(9.20) N=11L=2004.8092583 pm /6.0751796=330pm bccf=149536648818.17554 MHz
2.710.618err=-1.8TcZ=43(8.96) N=6L=14.1672399 pm *19.3403939=274pm hcpf=21160964292126.47266 MHz
2.710.618err=-1.65TcZ=43(8.96) N=7L=38.5105508 pm *7.1149333=274pm hcpf=7784683718436.33105 MHz
2.710.618err=-0.773RuZ=44(9.38) N=11L=2151.5026186 pm /5.0386478=427pm c-hcpf=139340968216.93631 MHz
2.710.618err=-0.385CdZ=48(9.57) N=7L=42.9885219 pm *13.0499951=561pm c-hcpf=6973779164432.54785 MHz
2.710.618err=-1.36InZ=49(9.35) N=12L=6512.9802985 pm /14.1894996=459pm a-tpf=46029996140.34911 MHz
2.710.618err=-1.42InZ=49(9.42) N=12L=6512.9802985 pm /13.1841706=494pm c-tpf=46029996140.34911 MHz
2.710.618err=-1.6SnZ=50(8.96) N=6L=16.4735348 pm *19.3036895=318pm diaf=18198429291228.76562 MHz
2.710.618err=-1.45SnZ=50(8.96) N=7L=44.7797103 pm *7.1014305=318pm diaf=6694827997855.24512 MHz
2.710.618err=-1.94SbZ=51(9.29) N=10L=917.4130144 pm /2.0386956=450pm rf=326780254157.16559 MHz
2.710.618err=-0.427SbZ=51(9.29) N=12L=6778.8162290 pm /15.0640361=450pm rf=44224898252.49229 MHz
2.710.618err=-0.726CsZ=55(8.69) N=11L=2689.3782733 pm /10.0725778=267pm bccf=111472774573.54904 MHz
2.710.618err=-0.0932BaZ=56(9.30) N=7L=50.1532755 pm *10.0093163=502pm bccf=5977524998085.04004 MHz
2.710.618err=-0.335BaZ=56(9.30) N=10L=1007.3554667 pm /2.0066842=502pm bccf=297603445750.27576 MHz
2.710.618err=-0.108LaZ=57(9.00) N=6L=18.7798297 pm *20.0214809=376pm fccf=15963534465990.14648 MHz
2.710.618err=-0.32LaZ=57(9.00) N=9L=377.2029620 pm /1.0031994=376pm fccf=794777581851.00403 MHz
2.710.618err=-0.749LaZ=57(9.00) N=12L=7576.3240207 pm /20.1497979=376pm fccf=39569645804.86152 MHz
2.710.618err=-1.19HfZ=72(8.60) N=10L=1295.1713144 pm /4.0474104=320pm bccf=231469346694.65894 MHz
2.710.618err=-0.0183HfZ=72(8.60) N=11L=3520.6406487 pm /11.0020020=320pm bccf=85152813910.34999 MHz
2.710.618err=-0.951TaZ=73(8.62) N=7L=65.3783770 pm *5.0475404=330pm bccf=4585498628667.97656 MHz
2.710.618err=-1.55ReZ=75(8.41) N=6L=24.7103022 pm *11.1694304=276pm hcpf=12132286194152.51172 MHz
2.710.618err=-0.272OsZ=76(8.39) N=7L=68.0651596 pm *4.0108626=273pm a-hcpf=4404492103852.13477 MHz
2.710.618err=-0.156OsZ=76(8.39) N=10L=1367.1252763 pm /5.0077849=273pm a-hcpf=219286749500.20319 MHz
2.710.618err=-1.26OsZ=76(8.85) N=6L=25.0397729 pm *17.2126162=431pm c-hcpf=11972650849492.60938 MHz
2.710.618err=-0.647IrZ=77(8.71) N=6L=25.3692436 pm *15.0970209=383pm fccf=11817161877421.27734 MHz
2.710.618err=-1.7PtZ=78(8.72) N=6L=25.6987143 pm *15.2536814=392pm fccf=11665659802069.72070 MHz
2.710.618err=-1.2HgZ=80(7.78) N=5L=9.6964396 pm *16.1915101=157pm a-rf=30917787280527.48438 MHz
2.710.618err=-1.85HgZ=80(7.78) N=10L=1439.0792382 pm /9.1661098=157pm a-rf=208322412025.19308 MHz
2.710.618err=-0.304HgZ=80(8.43) N=11L=3911.8229429 pm /13.0394098=300pm c-rf=76637532519.31499 MHz
2.710.618err=-1.79PbZ=82(8.91) N=6L=27.0165971 pm *18.3220707=495pm fccf=11096603226359.00586 MHz
2.710.618err=-1.26PbZ=82(8.91) N=11L=4009.6185165 pm /8.1002394=495pm fccf=74768324409.08777 MHz
2.710.618err=-1.97BiZ=83(8.85) N=6L=27.3460677 pm *17.3333879=474pm rf=10962909211583.59180 MHz

23 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=1.32140985623E-15, Factor=0.6180339887498948482, c=299792458, genau=2%, mod=3, Suchwort=118L pm
 
 
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