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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 Cp      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=-0.674BeZ=4(16.10) N=12L=13.3804229 pm *17.1145562=229pm hcpf=22405305091623.74609 MHz
20.618err=-0.943BZ=5(17.74) N=22L=17126.9413503 pm /19.1791057=893pm a-opf=17504144602.83105 MHz
20.618err=-0.844BZ=5(16.92) N=13L=33.4510573 pm *15.1265772=506pm c-opf=8962122036649.50000 MHz
20.618err=-0.0406NaZ=11(15.54) N=19L=4709.9088713 pm /11.0044600=428pm bccf=63651434919.38564 MHz
20.618err=-0.354MgZ=12(14.99) N=15L=321.1301503 pm /1.0035317=320pm hexf=933554378817.65625 MHz
20.618err=-0.359SiZ=14(15.54) N=19L=5994.4294726 pm /11.0394650=543pm diaf=50011841722.37444 MHz
20.618err=-1.76KZ=19(15.07) N=19L=8135.2971414 pm /15.2632217=533pm bccf=36850830742.80222 MHz
20.618err=-0.215TiZ=22(14.00) N=14L=294.3693045 pm *1.0021425=295pm bccf=1018422958710.17029 MHz
20.618err=-1.57VZ=23(13.98) N=14L=307.7497274 pm /1.0156757=303pm bccf=974143699635.81506 MHz
20.618err=-0.341MnZ=25(15.41) N=17L=2676.0845860 pm /3.0102189=889pm bccf=112026525458.11873 MHz
20.618err=-0.341MnZ=25(15.41) N=18L=5352.1691720 pm /6.0204378=889pm bccf=56013262729.05936 MHz
20.618err=-0.341MnZ=25(15.41) N=19L=10704.3383439 pm /12.0408755=889pm bccf=28006631364.52968 MHz
20.618err=-1.19FeZ=26(13.72) N=10L=21.7431873 pm *13.1535454=286pm bccf=13787880056383.84375 MHz
20.618err=-1.06CoZ=27(13.47) N=10L=22.5794637 pm *11.1162959=251pm fccf=13277217832073.33008 MHz
20.618err=-0.218NiZ=28(13.91) N=10L=23.4157401 pm *15.0326233=352pm fccf=12803031480927.85742 MHz
20.618err=-0.175NiZ=28(13.91) N=18L=5994.4294726 pm /17.0296292=352pm fccf=50011841722.37444 MHz
20.618err=-0.605ZnZ=30(13.41) N=15L=802.8253758 pm /3.0181405=266pm a-hcpf=373421751527.06244 MHz
20.618err=-0.605ZnZ=30(13.41) N=16L=1605.6507516 pm /6.0362810=266pm a-hcpf=186710875763.53122 MHz
20.618err=-0.605ZnZ=30(13.41) N=17L=3211.3015032 pm /12.0725620=266pm a-hcpf=93355437881.76561 MHz
20.618err=-0.866GeZ=32(14.40) N=16L=1712.6941350 pm /3.0259614=566pm diaf=175041446028.31052 MHz
20.618err=-0.866GeZ=32(14.40) N=17L=3425.3882701 pm /6.0519227=566pm diaf=87520723014.15526 MHz
20.618err=-0.866GeZ=32(14.40) N=18L=6850.7765401 pm /12.1038455=566pm diaf=43760361507.07763 MHz
20.618err=-0.0105AsZ=33(13.91) N=10L=27.5971223 pm *15.0015641=414pm rf=10863178226241.81836 MHz
20.618err=-0.382AsZ=33(13.91) N=18L=7064.8633070 pm /17.0648872=414pm rf=42434289946.25710 MHz
20.618err=-0.905RbZ=37(14.18) N=10L=30.9422280 pm *18.1628808=562pm bccf=9688780580161.62109 MHz
20.618err=-0.905RbZ=37(14.18) N=11L=61.8844561 pm *9.0814404=562pm bccf=4844390290080.81055 MHz
20.618err=-0.677RbZ=37(14.18) N=17L=3960.6051873 pm /7.0473402=562pm bccf=75693598282.51266 MHz
20.618err=-0.677RbZ=37(14.18) N=18L=7921.2103745 pm /14.0946804=562pm bccf=37846799141.25633 MHz
20.618err=-0.863SrZ=38(14.26) N=10L=31.7785045 pm *19.1638974=609pm bccf=9433812670157.36719 MHz
20.618err=-1.65ZrZ=40(13.27) N=9L=16.7255287 pm *19.3117961=323pm bccf=17924244073299.00000 MHz
20.618err=-1.98ZrZ=40(13.27) N=17L=4281.7353376 pm /13.2561466=323pm bccf=70016578411.32422 MHz
20.618err=-1.32NbZ=41(13.27) N=9L=17.1436669 pm *19.2490908=330pm bccf=17487067388584.38867 MHz
20.618err=-1.95MoZ=42(13.16) N=16L=2247.9110522 pm /7.1362256=315pm bccf=133364911259.66516 MHz
20.618err=-1.95MoZ=42(13.16) N=17L=4495.8221045 pm /14.2724511=315pm bccf=66682455629.83258 MHz
20.618err=-1.6TcZ=43(12.93) N=9L=17.9799433 pm *15.2392027=274pm hcpf=16673715417022.32227 MHz
20.618err=-0.275RuZ=44(13.54) N=17L=4709.9088713 pm /11.0302315=427pm c-hcpf=63651434919.38564 MHz
20.618err=-0.977RhZ=45(13.34) N=9L=18.8162197 pm *20.1953424=380pm fccf=15932661398488.00000 MHz
20.618err=-0.977RhZ=45(13.34) N=10L=37.6324395 pm *10.0976712=380pm fccf=7966330699244.00000 MHz
20.618err=-0.977RhZ=45(13.34) N=11L=75.2648790 pm *5.0488356=380pm fccf=3983165349622.00000 MHz
20.618err=-0.862PdZ=46(13.33) N=9L=19.2343580 pm *20.1722356=388pm fccf=15586299194173.04102 MHz
20.618err=-0.862PdZ=46(13.33) N=10L=38.4687159 pm *10.0861178=388pm fccf=7793149597086.52051 MHz
20.618err=-0.862PdZ=46(13.33) N=11L=76.9374318 pm *5.0430589=388pm fccf=3896574798543.26025 MHz
20.618err=-1.77CdZ=48(12.89) N=17L=5138.0824051 pm /17.2999408=297pm a-hcpf=58347148676.10352 MHz
20.618err=-1.77CdZ=48(13.80) N=17L=5138.0824051 pm /9.1587922=561pm c-hcpf=58347148676.10352 MHz
20.618err=-1.77CdZ=48(13.80) N=18L=10276.1648102 pm /18.3175843=561pm c-hcpf=29173574338.05176 MHz
20.618err=-1.83InZ=49(13.49) N=10L=40.9775452 pm *11.2012566=459pm a-tpf=7316017989101.63184 MHz
20.618err=-0.462InZ=49(13.59) N=10L=40.9775452 pm *12.0553829=494pm c-tpf=7316017989101.63184 MHz
20.618err=-0.462InZ=49(13.59) N=11L=81.9550904 pm *6.0276915=494pm c-tpf=3658008994550.81592 MHz
20.618err=-0.462InZ=49(13.59) N=12L=163.9101809 pm *3.0138457=494pm c-tpf=1829004497275.40796 MHz
20.618err=-1.41SnZ=50(12.93) N=9L=20.9069108 pm *15.2102815=318pm diaf=14339395258639.19727 MHz
20.618err=-1.1SbZ=51(13.40) N=15L=1364.8031389 pm /3.0328959=450pm rf=219659853839.44852 MHz
20.618err=-1.1SbZ=51(13.40) N=16L=2729.6062777 pm /6.0657917=450pm rf=109829926919.72426 MHz
20.618err=-1.1SbZ=51(13.40) N=17L=5459.2125554 pm /12.1315835=450pm rf=54914963459.86213 MHz
20.618err=-0.228CsZ=55(12.54) N=16L=2943.6930446 pm /11.0250676=267pm bccf=101842295871.01703 MHz
20.618err=-1.43LaZ=57(12.98) N=13L=381.3420535 pm /1.0142076=376pm fccf=786151055846.44727 MHz
20.618err=-0.354HfZ=72(12.41) N=14L=963.3904510 pm /3.0105952=320pm bccf=311184792939.21869 MHz
20.618err=-0.354HfZ=72(12.41) N=15L=1926.7809019 pm /6.0211903=320pm bccf=155592396469.60934 MHz
20.618err=-0.354HfZ=72(12.41) N=16L=3853.5618038 pm /12.0423806=320pm bccf=77796198234.80467 MHz
20.618err=-1.07OsZ=76(12.10) N=8L=15.8892522 pm *17.1814253=273pm a-hcpf=18867625340314.73438 MHz
20.618err=-0.16PtZ=78(12.59) N=9L=32.6147809 pm *12.0190904=392pm fccf=9191920037589.22852 MHz
20.618err=-0.16PtZ=78(12.59) N=10L=65.2295618 pm *6.0095452=392pm fccf=4595960018794.61426 MHz
20.618err=-0.16PtZ=78(12.59) N=11L=130.4591236 pm *3.0047726=392pm fccf=2297980009397.30713 MHz
20.618err=-1.95HgZ=80(12.16) N=15L=2140.8676688 pm /7.1362256=300pm c-rf=140033156822.64844 MHz
20.618err=-1.95HgZ=80(12.16) N=16L=4281.7353376 pm /14.2724511=300pm c-rf=70016578411.32422 MHz
20.618err=-1.87TlZ=81(12.35) N=8L=16.9345978 pm *20.3724945=345pm fccf=17702957109431.10938 MHz
20.618err=-1.87TlZ=81(12.35) N=9L=33.8691955 pm *10.1862473=345pm fccf=8851478554715.55469 MHz
20.618err=-1.87TlZ=81(12.35) N=10L=67.7383911 pm *5.0931236=345pm fccf=4425739277357.77734 MHz
20.618err=-1.87TlZ=81(13.03) N=13L=541.9071287 pm *1.0186247=552pm hcpf=553217409669.72217 MHz

31 Treffer,mit factor2: 5(1),0(2*),0(2/),2(3*),5(3/),3(5*),0(5/),0(7*),3(7/),bei Basis=2, Cx=1.32140985623E-15, Factor=0.6180339887498948482, c=299792458, genau=2%, mod=3, Suchwort=118L pm
 
 
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