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Please Select Elements
  all   nothing
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 Cn      Attention ! Factor 0.6180339887498948482 to L and to T, invers to f
BFerror L[%] ZN[1pm=1.0E-12m] Factor2[1MHz=1.0E6Hz]
20.618err=-0.813BeZ=4(16.10) N=12L=13.3620045 pm *17.1381472=229pm hcpf=22436188994138.81641 MHz
20.618err=-0.804BZ=5(17.74) N=22L=17103.3657427 pm /19.1527052=893pm a-opf=17528272651.67095 MHz
20.618err=-0.983BZ=5(16.92) N=13L=33.4050112 pm *15.1474279=506pm c-opf=8974475597655.52734 MHz
20.618err=-0.216MgZ=12(15.00) N=15L=320.6881077 pm /1.0021503=320pm hexf=934841208089.11731 MHz
20.618err=-0.221SiZ=14(15.54) N=19L=5986.1780100 pm /11.0242689=543pm diaf=50080779004.77415 MHz
20.618err=-1.62KZ=19(15.07) N=19L=8124.0987278 pm /15.2422115=533pm bccf=36901626635.09674 MHz
20.618err=-0.353TiZ=22(14.01) N=14L=293.9640987 pm *1.0035239=295pm bccf=1019826772460.85547 MHz
20.618err=-1.43VZ=23(13.98) N=14L=307.3261032 pm /1.0142776=303pm bccf=975486478006.03564 MHz
20.618err=-0.203MnZ=25(15.41) N=17L=2672.4008973 pm /3.0060753=889pm bccf=112180944970.69408 MHz
20.618err=-0.203MnZ=25(15.41) N=18L=5344.8017946 pm /6.0121505=889pm bccf=56090472485.34704 MHz
20.618err=-0.203MnZ=25(15.41) N=19L=10689.6035892 pm /12.0243010=889pm bccf=28045236242.67352 MHz
20.618err=-1.33FeZ=26(13.72) N=10L=21.7132573 pm *13.1716765=286pm bccf=13806885534854.65625 MHz
20.618err=-1.2CoZ=27(13.48) N=10L=22.5483826 pm *11.1316188=251pm fccf=13295519403934.11328 MHz
20.618err=-0.356NiZ=28(13.91) N=10L=23.3835079 pm *15.0533445=352pm fccf=12820679425222.18164 MHz
20.618err=-0.0364NiZ=28(13.91) N=18L=5986.1780100 pm /17.0061875=352pm fccf=50080779004.77415 MHz
20.618err=-0.467ZnZ=30(13.41) N=15L=801.7202692 pm /3.0139860=266pm a-hcpf=373936483235.64697 MHz
20.618err=-0.467ZnZ=30(13.41) N=16L=1603.4405384 pm /6.0279719=266pm a-hcpf=186968241617.82349 MHz
20.618err=-0.467ZnZ=30(13.41) N=17L=3206.8810768 pm /12.0559439=266pm a-hcpf=93484120808.91174 MHz
20.618err=-0.727GeZ=32(14.40) N=16L=1710.3365743 pm /3.0217961=566pm diaf=175282726516.70950 MHz
20.618err=-0.727GeZ=32(14.40) N=17L=3420.6731485 pm /6.0435921=566pm diaf=87641363258.35475 MHz
20.618err=-0.727GeZ=32(14.40) N=18L=6841.3462971 pm /12.0871843=566pm diaf=43820681629.17738 MHz
20.618err=-0.149AsZ=33(13.91) N=10L=27.5591343 pm *15.0222426=414pm rf=10878152239582.45703 MHz
20.618err=-0.244AsZ=33(13.91) N=18L=7055.1383689 pm /17.0413970=414pm rf=42492782185.86897 MHz
20.618err=-1.05RbZ=37(14.18) N=10L=30.8996354 pm *18.1879169=562pm bccf=9702135781249.21875 MHz
20.618err=-1.05RbZ=37(14.18) N=11L=61.7992708 pm *9.0939584=562pm bccf=4851067890624.60938 MHz
20.618err=-0.538RbZ=37(14.18) N=17L=3955.1533280 pm /7.0376394=562pm bccf=75797935791.00952 MHz
20.618err=-0.538RbZ=37(14.18) N=18L=7910.3066560 pm /14.0752787=562pm bccf=37898967895.50476 MHz
20.618err=-1.01SrZ=38(14.26) N=10L=31.7347607 pm *19.1903133=609pm bccf=9446816418584.76562 MHz
20.618err=-1.79ZrZ=40(13.27) N=9L=16.7025056 pm *19.3384159=323pm bccf=17948951195311.05469 MHz
20.618err=-1.83ZrZ=40(13.27) N=17L=4275.8414357 pm /13.2378992=323pm bccf=70113090606.68381 MHz
20.618err=-1.46NbZ=41(13.27) N=9L=17.1200682 pm *19.2756241=330pm bccf=17511171897864.44336 MHz
20.618err=-1.81MoZ=42(13.17) N=16L=2244.8167537 pm /7.1264024=315pm bccf=133548744012.73105 MHz
20.618err=-1.81MoZ=42(13.17) N=17L=4489.6335075 pm /14.2528048=315pm bccf=66774372006.36552 MHz
20.618err=-1.74TcZ=43(12.93) N=9L=17.9551935 pm *15.2602087=274pm hcpf=16696698786335.86328 MHz
20.618err=-0.137RuZ=44(13.54) N=17L=4703.4255793 pm /11.0150482=427pm c-hcpf=63739173278.80347 MHz
20.618err=-1.12RhZ=45(13.34) N=9L=18.7903188 pm *20.2231800=380pm fccf=15954623284720.93750 MHz
20.618err=-1.12RhZ=45(13.34) N=10L=37.5806376 pm *10.1115900=380pm fccf=7977311642360.46875 MHz
20.618err=-1.12RhZ=45(13.34) N=11L=75.1612752 pm *5.0557950=380pm fccf=3988655821180.23438 MHz
20.618err=-1.01PdZ=46(13.34) N=9L=19.2078814 pm *20.2000414=388pm fccf=15607783648096.57031 MHz
20.618err=-1.01PdZ=46(13.34) N=10L=38.4157629 pm *10.1000207=388pm fccf=7803891824048.28516 MHz
20.618err=-1.01PdZ=46(13.34) N=11L=76.8315258 pm *5.0500103=388pm fccf=3901945912024.14258 MHz
20.618err=-1.63CdZ=48(12.89) N=17L=5131.0097228 pm /17.2761270=297pm a-hcpf=58427575505.56983 MHz
20.618err=-1.63CdZ=48(13.81) N=17L=5131.0097228 pm /9.1461849=561pm c-hcpf=58427575505.56983 MHz
20.618err=-1.63CdZ=48(13.81) N=18L=10262.0194456 pm /18.2923698=561pm c-hcpf=29213787752.78492 MHz
20.618err=-1.97InZ=49(13.49) N=10L=40.9211387 pm *11.2166967=459pm a-tpf=7326102528698.38965 MHz
20.618err=-0.601InZ=49(13.59) N=10L=40.9211387 pm *12.0720003=494pm c-tpf=7326102528698.38965 MHz
20.618err=-0.601InZ=49(13.59) N=11L=81.8422775 pm *6.0360002=494pm c-tpf=3663051264349.19482 MHz
20.618err=-0.601InZ=49(13.59) N=12L=163.6845550 pm *3.0180001=494pm c-tpf=1831525632174.59741 MHz
20.618err=-1.55SnZ=50(12.93) N=9L=20.8781320 pm *15.2312477=318pm diaf=14359160956248.84180 MHz
20.618err=-0.958SbZ=51(13.40) N=15L=1362.9244576 pm /3.0287210=450pm rf=219962637197.43936 MHz
20.618err=-0.958SbZ=51(13.40) N=16L=2725.8489152 pm /6.0574420=450pm rf=109981318598.71968 MHz
20.618err=-0.958SbZ=51(13.40) N=17L=5451.6978305 pm /12.1148841=450pm rf=54990659299.35984 MHz
20.618err=-0.09CsZ=55(12.54) N=16L=2939.6409870 pm /11.0098913=267pm bccf=101982677246.08554 MHz
20.618err=-1.29LaZ=57(12.98) N=13L=380.8171279 pm /1.0128115=376pm fccf=787234701548.73047 MHz
20.618err=-0.216HfZ=72(12.41) N=14L=962.0643230 pm /3.0064510=320pm bccf=311613736029.70581 MHz
20.618err=-0.216HfZ=72(12.41) N=15L=1924.1286461 pm /6.0129020=320pm bccf=155806868014.85291 MHz
20.618err=-0.216HfZ=72(12.41) N=16L=3848.2572921 pm /12.0258040=320pm bccf=77903434007.42645 MHz
20.618err=-1.21OsZ=76(12.10) N=8L=15.8673803 pm *17.2051085=273pm a-hcpf=18893632837169.53125 MHz
20.618err=-0.298PtZ=78(12.59) N=9L=32.5698859 pm *12.0356577=392pm fccf=9204590356569.76953 MHz
20.618err=-0.298PtZ=78(12.59) N=10L=65.1397719 pm *6.0178289=392pm fccf=4602295178284.88477 MHz
20.618err=-0.298PtZ=78(12.59) N=11L=130.2795437 pm *3.0089144=392pm fccf=2301147589142.44238 MHz
20.618err=-1.81HgZ=80(12.17) N=15L=2137.9207178 pm /7.1264024=300pm c-rf=140226181213.36761 MHz
20.618err=-1.81HgZ=80(12.17) N=16L=4275.8414357 pm /14.2528048=300pm c-rf=70113090606.68381 MHz

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