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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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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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