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Periodensystem der Elemente (Quelle: größtenteils www.lenntech.de)
Aluminium    Al    Kernladungszahl Z=13 (p=13)
 Al(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.Al2714 26.98153933 26.9744078 100% 5/2+   stabil   -17.196E6 224.951E6 0.23#σ(n.γ) 
2.Al2613 25.9868917 25.97976016  5+ radioakt. 7.17E5a K/β+=100 4.004E6 -12.2103E6 211.894E6  
3.Al2512 24.99042807 24.98329653  5/2+ radioakt. 7.183 K/β+=100 4.277E6 -8.9162E6 200.529E6  
4.Al2411 23.99993988 23.99280834  4+ radioakt. 2.053 K/β+=99.96; Kp=1.6E-3; Kα=0.04 13.877E6(K/β+); 2.185E6(Kp); 4.561E6(Kα) -0.056E6 183.597E6  
5.Al2310 23.00726682 23.00013528  5/2+ radioakt. 0.470 K/β+=99.53; Kp=0.47 12.242E6(K/β+); 4.662E6(Kp) 6.769E6 168.701E6  
6.Al229 22.01952025 22.01238872  3+ radioakt. 59E-3 K/β+=61.21; Kp=60; K2p=0.9; Kα=0.31 18.579E6(K/β+); 13.078E6(Kp); 10.647E6(2Kp); 10.441E6(Kα) 18.183E6 149.216E6  
7.Al218 21.0280399 21.02090836  5/2+ radioakt. 100E−12 p=100 1.26E6 26.119E6 133.208E6  
8.Al2815 27.98191035 27.97477881  3+ radioakt. 134.484 ß-=100 4.642E6 -16.8504E6 232.677E6  
9.Al2916 28.98044507 28.97331353  5/2+ radioakt. 394 ß-=100 3.680E6 -18.2153E6 242.113E6  
10.Al3017 29.98296028 29.97582874  3+ radioakt. 3.6 ß-=100 8.561E6 -15.8724E6 247.842E6  
11.Al3118 30.98394665 30.97681511   radioakt. 644E-3 ß-=100 7.995E6 -14.9536E6 254.994E6  
12.Al3219 31.98812553 31.98099399  1+ radioakt. 33E-3 ß-=99.3; β−n=0.7 13.019E6(ß-); 3.817E6(ß-n) -11.061E6 259.173E6  
13.Al3320 32.99084374 32.9837122  5/2+ radioakt. 41.7E-3 ß-=91.5; β−n=8.5 11.963E6(ß-); 7.48E6(β−n) -8.529E6 264.712E6  
14.Al3421 33.99685183 33.98972029   radioakt. 42E-3 ß-=73; β−n=27 17.024E6(β−); 9.488E6(β−n) -2.9325E6 267.187E6  
15.Al3522 34.99986022 34.99272869   radioakt. 38.6E-3 ß-=59; β−n=41 14.23E6(β−); 11.755E6(β−n) -0.1302E6 272.456E6  
16.Al3623 36.00620723 35.99907569   radioakt. 90E-3 ß-=70; β−n=30 18.264E6(ß-); 12.071E6(β−n) 5.782E6 274.615E6  
17.Al3724 37.01067779 37.00354625   radioakt. 10.7E-3 ß-=85; β−n=15 16.526E6(ß-); 14.357E6(β−n) 9.9463E6 278.522E6  
18.Al3825 38.01723038 38.01009885   radioakt. 7.6E-3 ß-<100; β−n>0 21.117E6ß-; 14.559E6(β−n) 16.05E6 280.49E6  
19.Al3926 39.02296955 39.01583801   radioakt. 7.6E-6 ß-<100; β−n>0 19.468E6(ß-); 17.392E6(β−n) 21.396E6 283.215E6  
20.Al4027 40.03144948 40.02431794   radioakt. <260E-9 ß-=<100; β−n=>0 23.828E6(ß-); 19.296E6(β−n) 29.295E6 283.387E6  
21.Al4128 41.03832982 41.03119828   radioakt. <260E-9 ß-=<100; β−n=>0 22.141E6(ß-); 22.166E6(β−n) 35.704E6 285.05E6  
22.Al4229 42.04689026 42.03975872   radioakt. <170E−9 ß-=<100; β−n=>0 25.244E6(ß-); 22.044E6(β−n) 43.678E6 285.147E6  
23.Al26+113 25.9868917 25.97976016  0+ radioakt. 6.3452  K/β+=100 4.232E6 -12.2103E6 211.894E6  
24.Al24+111 23.99993988 23.99280834  1+ radioakt. 131.3E-3 IT=82; K/β+=18; Kα=0.028 0.462E6(IT); 14.304E6(K/β+); 4.988E6(Kα) -0.056E6 183.597E6  


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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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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 factors (Factor, factor2, Z and Ce) with 543 pm)      with Ce      Attention ! Basis 2.7182818284590452353602874713527
Berror L[%] ZN[1pm=1.0E-12m] Factor2[1MHz=1.0E6Hz]
2.71err=-0.959HeZ=2(4.72) N=2L=35.8562849 pm *15.1437886=543 pmf=8360945885062.16797 MHz
2.71err=-0.959LiZ=3(4.31) N=2L=53.7844274 pm *10.0958591=543 pmf=5573963923374.77734 MHz
2.71err=-0.959BZ=5(3.80) N=2L=89.6407123 pm *6.0575155=543 pmf=3344378354024.86670 MHz
2.71err=-0.148BZ=5(3.80) N=6L=4894.2170616 pm /9.0132911=543 pmf=61254426239.61868 MHz
2.71err=-0.959CZ=6(3.62) N=2L=107.5688548 pm *5.0479295=543 pmf=2786981961687.38867 MHz
2.71err=-0.959NeZ=10(3.11) N=2L=179.2814247 pm *3.0287577=543 pmf=1672189177012.43335 MHz
2.71err=-0.148NeZ=10(3.11) N=6L=9788.4341232 pm /18.0265822=543 pmf=30627213119.80934 MHz
2.71err=-0.959PZ=15(2.70) N=2L=268.9221370 pm *2.0191718=543 pmf=1114792784674.95557 MHz
2.71err=-0.959ZnZ=30(2.01) N=2L=537.8442741 pm *1.0095859=543 pmf=557396392337.47778 MHz
2.71err=-0.0563GeZ=32(1.95) N=-1L=28.5628690 pm *19.0106954=543 pmf=10495880455449.38281 MHz
2.71err=-0.635AsZ=33(1.91) N=4L=4371.5776649 pm /8.0507876=543 pmf=68577635120.05333 MHz
2.71err=-0.81RbZ=37(1.80) N=0L=89.7734788 pm *6.0485570=543 pmf=3339432334316.09277 MHz
2.71err=-0.297RbZ=37(1.80) N=4L=4901.4658667 pm /9.0266406=543 pmf=61163836728.69621 MHz
2.71err=-0.0563SrZ=38(1.77) N=-1L=33.9184069 pm *16.0090066=543 pmf=8838636173010.00781 MHz
2.71err=-0.403NbZ=41(1.70) N=1L=270.4111963 pm *2.0080529=543 pmf=1108654013077.75195 MHz
2.71err=-0.025NbZ=41(1.70) N=4L=5431.3540685 pm /10.0024937=543 pmf=55196633145.40878 MHz
2.71err=-0.968RhZ=45(1.60) N=3L=2193.0184751 pm /4.0387081=543 pmf=136703115549.39291 MHz
2.71err=-0.553CsZ=55(1.40) N=-1L=49.0924310 pm *11.0607682=543 pmf=6106694083170.54980 MHz
2.71err=-0.519BaZ=56(1.39) N=3L=2729.0896579 pm /5.0259478=543 pmf=109850717852.19073 MHz
2.71err=-0.702PmZ=61(1.30) N=2L=1093.6166906 pm /2.0140271=543 pmf=274129373280.72678 MHz
2.71err=-0.839SmZ=62(1.28) N=4L=8213.2671279 pm /15.1257222=543 pmf=36500999338.09290 MHz
2.71err=-0.635DyZ=66(1.22) N=4L=8743.1553297 pm /16.1015752=543 pmf=34288817560.02666 MHz
2.71err=-0.886HoZ=67(1.21) N=-1L=59.8035069 pm *9.0797351=543 pmf=5012957829468.36230 MHz
2.71err=-0.22HoZ=67(1.21) N=3L=3265.1608407 pm /6.0131876=543 pmf=91815525368.99524 MHz
2.71err=-0.456YbZ=70(1.16) N=4L=9273.0435315 pm /17.0774282=543 pmf=32329456556.59657 MHz
2.71err=-0.81WZ=74(1.11) N=0L=179.5469577 pm *3.0242785=543 pmf=1669716167158.04639 MHz
2.71err=-0.297WZ=74(1.11) N=4L=9802.9317333 pm /18.0532813=543 pmf=30581918364.34810 MHz
2.71err=-0.0563OsZ=76(1.08) N=-1L=67.8368138 pm *8.0045033=543 pmf=4419318086505.00391 MHz
2.71err=-0.00611PtZ=78(1.05) N=3L=3801.2320235 pm /7.0004273=543 pmf=78867182047.72667 MHz
2.71err=-0.154PtZ=78(1.05) N=4L=10332.8199351 pm /19.0291343=543 pmf=29013614858.48410 MHz
2.71err=-0.833PbZ=82(1.00) N=-2L=26.9259614 pm *20.1664108=543 pmf=11133955557356.68555 MHz
2.71err=-0.403PbZ=82(1.00) N=1L=540.8223927 pm *1.0040265=543 pmf=554327006538.87598 MHz
2.71err=-0.025PbZ=82(1.00) N=4L=10862.7081369 pm /20.0049874=543 pmf=27598316572.70439 MHz
2.71err=-0.814BiZ=83(0.99) N=1L=547.4177877 pm /1.0081359=543 pmf=547648367905.87750 MHz
2.71err=-0.0391FrZ=87(0.94) N=-2L=28.5677884 pm *19.0074217=543 pmf=10494073054060.32227 MHz
2.71err=-0.968ThZ=90(0.91) N=3L=4386.0369501 pm /8.0774161=543 pmf=68351557774.69646 MHz
2.71err=-0.956PaZ=91(0.90) N=-2L=29.8812499 pm *18.1719306=543 pmf=10032795117618.11133 MHz
2.71err=-0.152PaZ=91(0.90) N=2L=1631.4609646 pm /3.0045322=543 pmf=183757052418.94873 MHz
2.71err=-0.282BkZ=97(0.84) N=-2L=31.8514422 pm *17.0478937=543 pmf=9412209852610.80469 MHz
2.71err=-0.387MdZ=101(0.80) N=-1L=90.1515551 pm *6.0231906=543 pmf=3325427471033.46729 MHz
2.71err=-0.719MdZ=101(0.80) N=3L=4922.1081329 pm /9.0646559=543 pmf=60907328710.12554 MHz
2.71err=-0.343LrZ=103(0.78) N=-2L=33.8216345 pm *16.0548125=543 pmf=8863925783526.68164 MHz
2.71err=-0.221DsZ=110(0.71) N=-2L=36.1201922 pm *15.0331426=543 pmf=8299857779120.43750 MHz
2.71err=-0.81RgZ=111(0.70) N=0L=269.3204365 pm *2.0161857=543 pmf=1113144111438.69751 MHz
2.71err=-0.519CnZ=112(0.69) N=3L=5458.1793157 pm /10.0518956=543 pmf=54925358926.09537 MHz
2.71err=-0.956UusZ=117(0.65) N=-2L=38.4187499 pm *14.1337238=543 pmf=7803285091480.75391 MHz
2.71err=-0.0997UuoZ=118(0.64) N=-2L=38.7471152 pm *14.0139465=543 pmf=7737155556807.18848 MHz

16 Treffer,mit factor2: 3(1),3(2*),1(2/),2(3*),1(3/),1(5*),1(5/),0(7*),1(7/),bei Basis=2.7182818284590452353602874713527, Cx=2.4263102389E-12, Factor=1, c=299792458, genau=1%, mod=3, Suchwort=543 pm
 
 
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