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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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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      Attention ! Factor 6.2831853071795864769 to L and to T, invers to f
BFerror L[%] ZN[1pm=1.0E-12m] Factor2[1MHz=1.0E6Hz]
26.283err=-0.143BeZ=4(1.91) N=-2L=15.2449568 pm *15.0213610=229pm hcpf=19665025035710.58203 MHz
26.283err=-0.25BeZ=4(1.91) N=6L=3902.7089520 pm /17.0423972=229pm hcpf=76816504045.74446 MHz
26.283err=-1.49BZ=5(2.73) N=7L=9756.7723800 pm /19.2821589=506pm c-opf=30726601618.29778 MHz
26.283err=-1.64MgZ=12(0.81) N=4L=2927.0317140 pm /9.1469741=320pm hexf=102422005394.32594 MHz
26.283err=-1.64MgZ=12(0.81) N=5L=5854.0634280 pm /18.2939482=320pm hexf=51211002697.16297 MHz
26.283err=-1.93AlZ=13(1.03) N=1L=396.3688779 pm *1.0192526=404pm a-fccf=756347116758.09924 MHz
26.283err=-1.77SiZ=14(1.35) N=-3L=26.6786745 pm *20.3533350=543pm diaf=11237157163263.18945 MHz
26.283err=-1.77SiZ=14(1.35) N=-2L=53.3573490 pm *10.1766675=543pm diaf=5618578581631.59473 MHz
26.283err=-1.77SiZ=14(1.35) N=-1L=106.7146979 pm *5.0883338=543pm diaf=2809289290815.79736 MHz
26.283err=-0.523TiZ=22(-0.19) N=-4L=20.9618157 pm *14.0732084=295pm bccf=14301836389607.69922 MHz
26.283err=-0.523TiZ=22(-0.19) N=-3L=41.9236313 pm *7.0366042=295pm bccf=7150918194803.84961 MHz
26.283err=-1.06TiZ=22(-0.19) N=3L=2683.1124045 pm /9.0952963=295pm bccf=111733096793.81015 MHz
26.283err=-1.06TiZ=22(-0.19) N=4L=5366.2248090 pm /18.1905926=295pm bccf=55866548396.90508 MHz
26.283err=-1.29CrZ=24(-0.34) N=2L=1463.5158570 pm /5.0640687=289pm bccf=204844010788.65189 MHz
26.283err=-1.29CrZ=24(-0.34) N=3L=2927.0317140 pm /10.1281374=289pm bccf=102422005394.32594 MHz
26.283err=-1.29CrZ=24(-0.34) N=4L=5854.0634280 pm /20.2562748=289pm bccf=51211002697.16297 MHz
26.283err=-0.794FeZ=26(-0.47) N=3L=3170.9510235 pm /11.0872413=286pm bccf=94543389594.76241 MHz
26.283err=-0.917CoZ=27(-0.71) N=3L=3292.9106782 pm /13.1191660=251pm fccf=91041782572.73418 MHz
26.283err=-1.5NiZ=28(-0.28) N=-4L=26.6786745 pm *13.1940588=352pm fccf=11237157163263.18945 MHz
26.283err=-1.87ZnZ=30(0.11) N=-4L=28.5842941 pm *17.3172022=495pm c-hcpf=10488013352378.97852 MHz
26.283err=-1.29AsZ=33(-0.28) N=-4L=31.4427235 pm *13.1667984=414pm rf=9534557593071.79688 MHz
26.283err=-0.368RbZ=37(-0.01) N=0L=564.0634032 pm /1.0036715=562pm bccf=531487163127.31305 MHz
26.283err=-1.47SrZ=38(0.07) N=4L=9268.9337610 pm /15.2199241=609pm bccf=32343791177.15557 MHz
26.283err=-0.69ZrZ=40(-0.92) N=3L=4878.3861900 pm /15.1033628=323pm bccf=61453203236.59556 MHz
26.283err=-1.02NbZ=41(-0.92) N=3L=5000.3458447 pm /15.1525632=330pm bccf=59954344621.06885 MHz
26.283err=-1.64MoZ=42(-1.02) N=-1L=320.1440937 pm /1.0163305=315pm bccf=936429763605.26562 MHz
26.283err=-0.736TcZ=43(-1.26) N=3L=5244.2651542 pm /19.1396538=274pm hcpf=57165770452.64704 MHz
26.283err=-1.86RuZ=44(-0.65) N=-5L=20.9618157 pm *20.3703728=427pm c-hcpf=14301836389607.69922 MHz
26.283err=-1.86RuZ=44(-0.65) N=-4L=41.9236313 pm *10.1851864=427pm c-hcpf=7150918194803.84961 MHz
26.283err=-1.86RuZ=44(-0.65) N=-3L=83.8472626 pm *5.0925932=427pm c-hcpf=3575459097401.92480 MHz
26.283err=-1.24AgZ=47(-0.81) N=-5L=22.3910304 pm *18.2215822=408pm fccf=13388953215802.94922 MHz
26.283err=-1.24AgZ=47(-0.81) N=-4L=44.7820607 pm *9.1107911=408pm fccf=6694476607901.47461 MHz
26.283err=-0.352AgZ=47(-0.81) N=2L=2866.0518866 pm /7.0246370=408pm fccf=104601196998.46054 MHz
26.283err=-0.352AgZ=47(-0.81) N=3L=5732.1037732 pm /14.0492740=408pm fccf=52300598499.23027 MHz
26.283err=-0.152InZ=49(-0.70) N=3L=5976.0230827 pm /13.0196581=459pm a-tpf=50165880193.13924 MHz
26.283err=-0.811InZ=49(-0.60) N=1L=1494.0057707 pm /3.0243032=494pm c-tpf=200663520772.55695 MHz
26.283err=-0.811InZ=49(-0.60) N=2L=2988.0115414 pm /6.0486064=494pm c-tpf=100331760386.27847 MHz
26.283err=-0.811InZ=49(-0.60) N=3L=5976.0230827 pm /12.0972127=494pm c-tpf=50165880193.13924 MHz
26.283err=-1.81SnZ=50(-0.39) N=-4L=47.6404901 pm *12.2164990=582pm tpf=6292808011427.38574 MHz
26.283err=-1.81SnZ=50(-0.39) N=-3L=95.2809803 pm *6.1082495=582pm tpf=3146404005713.69287 MHz
26.283err=-1.81SnZ=50(-0.39) N=-2L=190.5619605 pm *3.0541247=582pm tpf=1573202002856.84644 MHz
26.283err=-0.927SnZ=50(-1.26) N=3L=6097.9827375 pm /19.1760463=318pm diaf=49162562589.27645 MHz
26.283err=-1.8TeZ=52(-0.83) N=2L=3170.9510235 pm /7.1257326=445pm a-rf=94543389594.76241 MHz
26.283err=-1.8TeZ=52(-0.83) N=3L=6341.9020470 pm /14.2514653=445pm a-rf=47271694797.38120 MHz
26.283err=-1.9CsZ=55(-1.65) N=-6L=13.1011348 pm *20.3799140=267pm bccf=22882938223372.31250 MHz
26.283err=-1.9CsZ=55(-1.65) N=-5L=26.2022696 pm *10.1899570=267pm bccf=11441469111686.15625 MHz
26.283err=-1.9CsZ=55(-1.65) N=-4L=52.4045392 pm *5.0949785=267pm bccf=5720734555843.07812 MHz
26.283err=-0.534OsZ=76(-2.09) N=-6L=18.1033863 pm *15.0800517=273pm a-hcpf=16560021082703.65039 MHz
26.283err=-1.12PtZ=78(-1.60) N=0L=1189.1066338 pm /3.0334353=392pm fccf=252115705586.03308 MHz
26.283err=-1.12PtZ=78(-1.60) N=1L=2378.2132676 pm /6.0668706=392pm fccf=126057852793.01654 MHz
26.283err=-1.12PtZ=78(-1.60) N=2L=4756.4265352 pm /12.1337412=392pm fccf=63028926396.50827 MHz
26.283err=-1.64HgZ=80(-2.02) N=-2L=304.8991369 pm /1.0163305=300pm c-rf=983251251785.52893 MHz
26.283err=-1.02PbZ=82(-1.34) N=1L=2500.1729224 pm /5.0508544=495pm fccf=119908689242.13770 MHz
26.283err=-1.02PbZ=82(-1.34) N=2L=5000.3458447 pm /10.1017088=495pm fccf=59954344621.06885 MHz
26.283err=-1.02PbZ=82(-1.34) N=3L=10000.6916895 pm /20.2034176=495pm fccf=29977172310.53442 MHz

22 Treffer,mit factor2: 4(1),0(2*),0(2/),1(3*),2(3/),3(5*),2(5/),1(7*),2(7/),bei Basis=2, Cx=2.4263102389E-12, Factor=6.2831853071795864769, c=299792458, genau=2%, mod=3, Suchwort=118L pm
 
 
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