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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
Berror L[%] ZN[1pm=1.0E-12m] Factor2[1MHz=1.0E6Hz]
2err=-0.0909NZ=7(5.00) N=5L=543.4934935 pm /1.0009088=543 pmf=551602662364.71191 MHz
2err=-0.0909SiZ=14(4.00) N=4L=543.4934935 pm /1.0009088=543 pmf=551602662364.71191 MHz
2err=-0.932PZ=15(3.90) N=8L=9317.0313174 pm /17.1584370=543 pmf=32176821971.27485 MHz
2err=-0.0909ScZ=21(3.41) N=5L=1630.4804805 pm /3.0027265=543 pmf=183867554121.57059 MHz
2err=-0.0909ScZ=21(3.41) N=6L=3260.9609611 pm /6.0054530=543 pmf=91933777060.78529 MHz
2err=-0.0909ScZ=21(3.41) N=7L=6521.9219222 pm /12.0109059=543 pmf=45966888530.39265 MHz
2err=-0.0909NiZ=28(3.00) N=3L=543.4934935 pm /1.0009088=543 pmf=551602662364.71191 MHz
2err=-0.932ZnZ=30(2.90) N=7L=9317.0313174 pm /17.1584370=543 pmf=32176821971.27485 MHz
2err=-0.0909BrZ=35(2.68) N=5L=2717.4674676 pm /5.0045441=543 pmf=110320532472.94237 MHz
2err=-0.0909BrZ=35(2.68) N=6L=5434.9349351 pm /10.0090883=543 pmf=55160266236.47118 MHz
2err=-0.0909BrZ=35(2.68) N=7L=10869.8698703 pm /20.0181766=543 pmf=27580133118.23559 MHz
2err=-0.81RbZ=37(2.60) N=-1L=44.8867394 pm *12.0971139=543 pmf=6678864668632.18555 MHz
2err=-0.81RbZ=37(2.60) N=0L=89.7734788 pm *6.0485570=543 pmf=3339432334316.09277 MHz
2err=-0.81RbZ=37(2.60) N=1L=179.5469577 pm *3.0242785=543 pmf=1669716167158.04639 MHz
2err=-0.0909MoZ=42(2.41) N=4L=1630.4804805 pm /3.0027265=543 pmf=183867554121.57059 MHz
2err=-0.0909MoZ=42(2.41) N=5L=3260.9609611 pm /6.0054530=543 pmf=91933777060.78529 MHz
2err=-0.0909MoZ=42(2.41) N=6L=6521.9219222 pm /12.0109059=543 pmf=45966888530.39265 MHz
2err=-0.245AgZ=47(2.25) N=-2L=28.5091453 pm *19.0465198=543 pmf=10515659265505.99609 MHz
2err=-0.0909InZ=49(2.19) N=5L=3804.4544546 pm /7.0063618=543 pmf=78800380337.81598 MHz
2err=-0.0909InZ=49(2.19) N=6L=7608.9089092 pm /14.0127236=543 pmf=39400190168.90799 MHz
2err=-0.0909BaZ=56(2.00) N=2L=543.4934935 pm /1.0009088=543 pmf=551602662364.71191 MHz
2err=-0.932NdZ=60(1.90) N=6L=9317.0313174 pm /17.1584370=543 pmf=32176821971.27485 MHz
2err=-0.0909EuZ=63(1.83) N=5L=4891.4414416 pm /9.0081795=543 pmf=61289184707.19021 MHz
2err=-0.0909EuZ=63(1.83) N=6L=9782.8828832 pm /18.0163589=543 pmf=30644592353.59510 MHz
2err=-0.844HoZ=67(1.74) N=6L=10404.0183044 pm /19.1602547=543 pmf=28815064451.88793 MHz
2err=-0.0909YbZ=70(1.68) N=4L=2717.4674676 pm /5.0045441=543 pmf=110320532472.94237 MHz
2err=-0.0909YbZ=70(1.68) N=5L=5434.9349351 pm /10.0090883=543 pmf=55160266236.47118 MHz
2err=-0.0909YbZ=70(1.68) N=6L=10869.8698703 pm /20.0181766=543 pmf=27580133118.23559 MHz
2err=-0.81WZ=74(1.60) N=-2L=44.8867394 pm *12.0971139=543 pmf=6678864668632.18555 MHz
2err=-0.81WZ=74(1.60) N=-1L=89.7734788 pm *6.0485570=543 pmf=3339432334316.09277 MHz
2err=-0.81WZ=74(1.60) N=0L=179.5469577 pm *3.0242785=543 pmf=1669716167158.04639 MHz
2err=-0.0909IrZ=77(1.54) N=5L=5978.4284286 pm /11.0099971=543 pmf=50145696578.61016 MHz
2err=-0.47TlZ=81(1.47) N=-2L=49.1327823 pm *11.0516843=543 pmf=6101678833071.37988 MHz
2err=-0.0909PoZ=84(1.41) N=3L=1630.4804805 pm /3.0027265=543 pmf=183867554121.57059 MHz
2err=-0.0909PoZ=84(1.41) N=4L=3260.9609611 pm /6.0054530=543 pmf=91933777060.78529 MHz
2err=-0.0909PoZ=84(1.41) N=5L=6521.9219222 pm /12.0109059=543 pmf=45966888530.39265 MHz
2err=-0.583AcZ=89(1.33) N=-3L=26.9927014 pm *20.1165490=543 pmf=11106426639972.62500 MHz
2err=-0.583AcZ=89(1.33) N=-2L=53.9854028 pm *10.0582745=543 pmf=5553213319986.31250 MHz
2err=-0.583AcZ=89(1.33) N=-1L=107.9708056 pm *5.0291372=543 pmf=2776606659993.15625 MHz
2err=-0.0909PaZ=91(1.30) N=5L=7065.4154157 pm /13.0118148=543 pmf=42430974028.05475 MHz
2err=-0.245PuZ=94(1.25) N=-3L=28.5091453 pm *19.0465198=543 pmf=10515659265505.99609 MHz
2err=-0.0909CfZ=98(1.19) N=4L=3804.4544546 pm /7.0063618=543 pmf=78800380337.81598 MHz
2err=-0.0909CfZ=98(1.19) N=5L=7608.9089092 pm /14.0127236=543 pmf=39400190168.90799 MHz
2err=-0.47EsZ=99(1.18) N=-3L=30.0255892 pm *18.0845743=543 pmf=9984565363207.71289 MHz
2err=-0.47EsZ=99(1.18) N=-2L=60.0511784 pm *9.0422872=543 pmf=4992282681603.85645 MHz
2err=-0.302DbZ=105(1.09) N=-3L=31.8453219 pm *17.0511701=543 pmf=9414018771024.41406 MHz
2err=-0.0909DbZ=105(1.09) N=5L=8152.4024027 pm /15.0136324=543 pmf=36773510824.31412 MHz
2err=-0.81RgZ=111(1.01) N=1L=538.6408730 pm *1.0080928=543 pmf=556572055719.34875 MHz
2err=-0.0909CnZ=112(1.00) N=1L=543.4934935 pm /1.0009088=543 pmf=551602662364.71191 MHz
2err=-0.985UutZ=113(0.99) N=1L=548.3461140 pm /1.0098455=543 pmf=546721222874.75867 MHz

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