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Periodensystem der Elemente (Quelle: größtenteils www.lenntech.de)
Zirkon    Zr    Kernladungszahl Z=40 (p=40)
 Zr(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.Zr9050 89.90470438 89.88276118 51.45% 0+   stabil   -88.7673E6 78.3893E7 0.077#σ(n.γ) 
2.Zr9454 93.90631609  93.8843729 17.38% 0+   stabil   -87.266E6 814.677E6 0.0494#σ(n.γ) 
3.Zr9252 91.90504083 91.88309763  0+   stabil   -884.539E5 79.9722E7 0.26#σ(n.γ) 
4.Zr9151 90.9056462 90.883703 11.22% 5/2+   stabil   -8.789E7 0.791087E9 0.83#σ(n.γ) 
5.Zr9656 95.90827424 95.88633104  0+ radioakt. 72.58248E25 2ß-=100 3348E3 -0.85442E8 8.28995E8 0.0174#σ(n.γ) 
6.Zr9353 92.90647605 92.88453285  5/2+ radioakt. 48.283128E12 ß-=100 0.09096E6 -8.7117E7 806.456E6  
7.Zr8949 88.90889045 88.88694726  9/2+ radioakt. 28.224E4 K/β+=100 2833E3 -84.868E6 77.1922E7  
8.Zr8848 87.91022691 87.88828371  0+ radioakt. 7.2036E6 K=100 0.676E6 -83.6231E6 762.606E6  
9.Zr8747 86.9148162 86.892873  9/2+ radioakt. 6048 K/β+=100 3.67E6 -7.93482E7  75.0259E7  
10.Zr8646 85.91647354 85.89453034  0+ radioakt. 5.94E4 K/β+=100 0.1479E7 -7.78044E7 740.644E6  
11.Zr8545 84.92147121 84.89952801  7/2+ radioakt. 4.72E2 K/β+=100 4.693E6 -7.31491E7 7.27918E8  
12.Zr8444 83.92325018 83.90130698  0+ radioakt. 0.1554E4 K/β+=100 2.666E6 -7.1492E7 7.18189E8   
13.Zr8343 82.92865376  82.90671056  1/2− radioakt. 4.16E1 K/β+=100 5.868E6 -66.4586E6  7050.85E5  
14.Zr8242 81.93108705 81.90914386   0+ radioakt. 32 K/β+=100 400E4 -64.192E6 69.4747E7  
15.Zr8141 80.93721055  80.91526735  3/2− radioakt. 1.5E1 K/β+=99.988; Kp=0.012 75.29E5(K/β+); 45.31E5(Kp) -584.88E5 68.0971E7  
16.Zr9555 94.90804343 94.88610023  5/2+ radioakt. 5.53236E6 ß-=100 11.25E5 -85.657E6 8.21139E8 0.0229#σ(n.γ) 
17.Zr9757 96.91095316 96.88900996  1/2+ radioakt. 602.78E2 ß-=100 2.659E6 -82.9466E6 8345.71E5  
18.Zr9858 97.91273589 97.89079269   0+ radioakt. 30.7 ß-=100 224.2E4 -81.286E6 8.40982E8  
19.Zr9959 98.91651208 98.89456888   1/2+ radioakt. 2.1 ß-=100 45.58E5 -77.7685E6 845.536E6  
20.Zr10060 99.91776222 99.89581902  0+ radioakt. 7.1 ß-=100 33.35E5 -76.604E6 8524.42E5  
21.Zr10161 100.92114066 100.89919747  3/2+ radioakt. 2.3 ß-=100 54.85E5 -7.3457E7 857.367E6  
22.Zr10262 101.92298126 101.90103806  0+ radioakt. 2.9 ß-=100 4.604E6 -7.17425E7 863.724E6  
23.Zr10363 102.92659964 102.90465644  5/2− radioakt. 1.3 ß-=100 69.45E5 -68.372E6 868.424E6  
24.Zr10464 103.92878  103.90683681  0+ radioakt. 1.2 ß-=100 58.82E5 -66.341E6 874.465E6  
25.Zr10565 104.93304949 104.91110629  0+ radioakt. 0.6 ß-=100 848.8E4 -62.364E6 87.8559E7   
26.Zr90+150 89.90470438 89.88276118   5− radioakt. 80.92E-2  IT=100 2319E3 -8.87673E7  7.83893E8 0.077#σ(n.γ) 
27.Zr89+149 88.90889045  88.88694726  1/2− radioakt. 250.8 K/β+=6.23; IT=93.77 342E4(K/β+); 5.88E5(IT)  -0.84868E8 0.771922E9  
28.Zr87+147 86.9148162 86.892873  (1/2)– radioakt. 14 IT=100 0.336E6 -0.793482E8 0.750259E9  
29.Zr85+145 84.92147121 84.89952801  (1/2)– radioakt. 10.9 K/β+>8; IT<92 498.2E4(K/β+); 2920E2(IT) -0.0731491E9 0.727918E9  


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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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