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Periodensystem der Elemente (Quelle: größtenteils www.lenntech.de)
Natrium    Na    Kernladungszahl Z=11 (p=11)
 Na(n+p)nSchwere IsotopSchwere KernHäufig-
keit		Spin/
Parität		StabilitätHalbwerts-
zeit [s]		Zerfalls-
arten		Zerfalls-
energie [eV]		Defekt-
energie [eV]		Bindungs-
energie [eV]		Wirkungsquer-
schnitt [barn]
 
1.Na2312 22.98976923 22.98373485 100% 3/2+   stabil   -9.5299E6 186.565E6 0.57#σ(n.γ); 0.4#σ(n.it) 
2.Na2211 21.99443689  21.98840252  3+ radioakt. 2.6019a K/β+=100 2.842E6 -5.182E6 174.145E6 2.83E3#σ(n.γ) 
3.Na2110 20.99765538 20.991621  3/2+ radioakt. 22.49 K/β+=100 3.548E6 -2.184E6 163.076E6  
4.Na209 20.00735131 20.00131693  2+ radioakt. 447.9E-3 K/β+=79.95; Kα=20.5 13.89E6(K/β+); 9.16E6(Kα) 6.8477E6 145.973E6  
5.Na2413 23.99096291 23.98492853  4+ radioakt. 53852.4 ß-=100 5.516E6 -8.418E6 193.524E6  
6.Na2514 24.98995399 24.98391961  5/2+ radioakt. 59.1 ß-=100 3.835E6 -9.3578E6 202.535E6  
7.Na2615 25.99263302 25.98659864  3+ radioakt. 1.077 ß-=100 9.352E6 -6.8623E6 208.111E6  
8.Na2817 27.99893805 27.99290367  1+ radioakt. 30.5E6 ß-=99.42; β−n=0.58 14.029E6(β−); 5.525E6(β−n) -0.9892E6 218.38E6  
9.Na2918 29.002861 28.99682662  3/2 radioakt. 44.9E-3 ß-=78.5; β−n=21.5 13.284E6(β−); 9.612E6(β−n) 2.665E6 222.798E6  
10.Na3019 30.0089759 30.00294152  2+ radioakt. 48E-3 β−=68.85; β−n=30; β−2n=1.15; β−α=5.5E−5 17.271E6(β−); 10.909E6(β−n); 7.237E6(β−2n); 5.740E6(β−α) 8.361E6 225.173E6  
11.Na3120 31.01358463 31.00755025  3/2+ radioakt. 17.0E-3 β−=61.93; β−n=37; β−2n=0.9 15.871E6(β−); 13.493E6(β−n); ? 12.654E6 228.951E6  
12.Na3221 32.02046605 32.01443167  3- radioakt. 13.2E-3 β−=68; β−n=24; β−2n=8 20.019E6(β−); 14.21E6(β−n); 11.831E6(β−2n) 19.064E6 230.612E6  
13.Na3322 33.02671944 33.02068506  3/2+ radioakt. 8.2E-3 β−=40; β−n=47; β−2n=13 19.995E6(β−); 17.772E6(β−n); 11.963E6(β−2n) 24.889E6 232.859E6  
14.Na3423 34.03517038 34.029136  (1/2−) radioakt. 5.5 β−=85; β−n=15 23.953E6(β−); 19.796E6(β−n) 32.761E6 233.058E6  
15.Na3524 35.04249303 35.03645865  () radioakt. 1.5E-3 ß-=50; β−n=50 23.43E6(β−); 22.703E6(β−n) 39.582E6 234.308E6  
16.Na3625 36.05147966 36.04544529   radioakt. 100E-9 n=100 0.3E6 47.953E6 234.009E6  
17.Na3726 37.05934016 37.05330578  3/2+ radioakt. 1E-3 ß-=<100; β−n=>0 -0.749E6(ß-); 25.78E6(ß-n) 55.275E6 234.758E6  
18.Na24+113 23.99096291 23.98492853  1+ radioakt. 20.20E-3 IT=99.95; β−=0.05 0.472E6(IT); 5.988E6(β−) -8.418E6 193.524E6  


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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

     (SAVE settings with Ctrg-C as txt (Notepad)   or   SAVE as browser-Link )
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 Ce
Berror L[%] ZN[1pm=1.0E-12m] Factor2[1MHz=1.0E6Hz]
2err=-0.462LiZ=3(5.59) N=2L=29.1157229 pm *12.0553421=351pm bccf=10296583030807.95312 MHz
2err=-0.462LiZ=3(5.59) N=3L=58.2314457 pm *6.0276711=351pm bccf=5148291515403.97656 MHz
2err=-0.462LiZ=3(5.59) N=4L=116.4628915 pm *3.0138355=351pm bccf=2574145757701.98828 MHz
2err=-0.228NaZ=11(4.00) N=4L=427.0306020 pm *1.0022701=428pm bccf=702039752100.54236 MHz
2err=-0.0909SiZ=14(4.00) N=4L=543.4934935 pm /1.0009088=543pm diaf=551602662364.71191 MHz
2err=-0.645KZ=19(3.53) N=7L=5900.7865010 pm /11.0708940=533pm bccf=50805508375.69714 MHz
2err=-1.56CaZ=20(3.52) N=7L=6211.3542116 pm /11.1715004=556pm hcpf=48265232956.91228 MHz
2err=-0.483TiZ=22(2.47) N=-1L=26.6894126 pm *11.0530720=295pm bccf=11232636033608.67773 MHz
2err=-0.748FeZ=26(2.18) N=-2L=15.7710166 pm *18.1345317=286pm bccf=19009076364568.53125 MHz
2err=-0.748FeZ=26(2.18) N=-1L=31.5420331 pm *9.0672659=286pm bccf=9504538182284.26562 MHz
2err=-0.834FeZ=26(2.18) N=5L=2018.6901188 pm /7.0583571=286pm bccf=148508409098.19165 MHz
2err=-0.834FeZ=26(2.18) N=6L=4037.3802375 pm /14.1167141=286pm bccf=74254204549.09583 MHz
2err=-1.62CuZ=29(2.02) N=2L=281.4519877 pm *1.0161591=286pm fccf=1065163761807.71924 MHz
2err=-1.62SrZ=38(2.72) N=-1L=46.0998945 pm *13.2104424=609pm bccf=6503105072089.23438 MHz
2err=-1.22ZrZ=40(1.73) N=6L=6211.3542116 pm /19.2301988=323pm bccf=48265232956.91228 MHz
2err=-1.55NbZ=41(1.73) N=6L=6366.6380669 pm /19.2928426=330pm bccf=47088032153.08516 MHz
2err=-1.54TcZ=43(1.39) N=3L=834.6507222 pm /3.0461705=274pm hcpf=359183128981.67279 MHz
2err=-1.54TcZ=43(1.39) N=4L=1669.3014444 pm /6.0923410=274pm hcpf=179591564490.83640 MHz
2err=-1.54TcZ=43(1.39) N=5L=3338.6028887 pm /12.1846821=274pm hcpf=89795782245.41820 MHz
2err=-1.17RuZ=44(1.34) N=-3L=13.3447063 pm *20.2327420=270pm a-hcpf=22465272067217.35547 MHz
2err=-1.17RuZ=44(1.34) N=-2L=26.6894126 pm *10.1163710=270pm a-hcpf=11232636033608.67773 MHz
2err=-1.17RuZ=44(1.34) N=-1L=53.3788253 pm *5.0581855=270pm a-hcpf=5616318016804.33887 MHz
2err=-0.00717RuZ=44(2.00) N=2L=427.0306020 pm /1.0000717=427pm c-hcpf=702039752100.54236 MHz
2err=-1.42CdZ=48(2.27) N=-2L=29.1157229 pm *19.2679400=561pm c-hcpf=10296583030807.95312 MHz
2err=-0.999SnZ=50(2.26) N=-2L=30.3288780 pm *19.1896318=582pm tpf=9884719709575.63477 MHz
2err=-1.74SnZ=50(1.39) N=3L=970.5240956 pm /3.0519626=318pm diaf=308897490924.23859 MHz
2err=-1.74SnZ=50(1.39) N=4L=1941.0481911 pm /6.1039251=318pm diaf=154448745462.11929 MHz
2err=-1.74SnZ=50(1.39) N=5L=3882.0963822 pm /12.2078503=318pm diaf=77224372731.05965 MHz
2err=-0.773TeZ=52(1.82) N=-2L=31.5420331 pm *14.1081584=445pm a-rf=9504538182284.26562 MHz
2err=-0.773TeZ=52(1.82) N=-1L=63.0840662 pm *7.0540792=445pm a-rf=4752269091142.13281 MHz
2err=-0.809TeZ=52(1.82) N=5L=4037.3802375 pm /9.0727646=445pm a-rf=74254204549.09583 MHz
2err=-0.809TeZ=52(1.82) N=6L=8074.7604751 pm /18.1455292=445pm a-rf=37127102274.54791 MHz
2err=-0.0397CsZ=55(1.00) N=1L=266.8941263 pm *1.0003967=267pm bccf=1123263603360.86768 MHz
2err=-1.9BaZ=56(1.89) N=6L=8695.8958962 pm /17.3225018=502pm bccf=34475166397.79449 MHz
2err=-1.04TaZ=73(0.90) N=5L=5667.8607181 pm /17.1753355=330pm bccf=52893405980.17785 MHz
2err=-0.571WZ=74(0.82) N=-3L=22.4433697 pm *14.0798821=316pm bccf=13357729337264.37109 MHz
2err=-0.571WZ=74(0.82) N=-2L=44.8867394 pm *7.0399411=316pm bccf=6678864668632.18555 MHz
2err=-1.02WZ=74(0.82) N=4L=2872.7513229 pm /9.0909852=316pm bccf=104357260447.37790 MHz
2err=-1.02WZ=74(0.82) N=5L=5745.5026457 pm /18.1819704=316pm bccf=52178630223.68895 MHz
2err=-1.12ReZ=75(0.60) N=-3L=22.7466585 pm *12.1336503=276pm hcpf=13179626279434.17969 MHz
2err=-1.12ReZ=75(0.60) N=-2L=45.4933170 pm *6.0668252=276pm hcpf=6589813139717.08984 MHz
2err=-1.12ReZ=75(0.60) N=-1L=90.9866340 pm *3.0334126=276pm hcpf=3294906569858.54492 MHz
2err=-0.471AuZ=79(1.09) N=5L=6133.7122839 pm /15.0705462=407pm fccf=48876185272.82256 MHz
2err=-0.312TlZ=81(0.81) N=-3L=24.5663912 pm *14.0435768=345pm fccf=12203357666142.75977 MHz
2err=-0.312TlZ=81(0.81) N=-2L=49.1327823 pm *7.0217884=345pm fccf=6101678833071.37988 MHz
2err=-1.28TlZ=81(0.81) N=4L=3144.4980696 pm /9.1144872=345pm fccf=95338731766.74031 MHz
2err=-1.28TlZ=81(0.81) N=5L=6288.9961392 pm /18.2289743=345pm fccf=47669365883.37016 MHz

20 Treffer,mit factor2: 5(1),0(2*),0(2/),2(3*),2(3/),1(5*),0(5/),3(7*),1(7/),bei Basis=2, Cx=2.4263102389E-12, Factor=1, c=299792458, genau=2%, mod=3, Suchwort=118L pm
 
 
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