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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      Attention ! Factor 0.6180339887498948482 to L and to T, invers to f
BFerror L[%] ZN[1pm=1.0E-12m] Factor2[1MHz=1.0E6Hz]
20.618err=-0.587LiZ=3(6.92) N=3L=35.9890127 pm *15.0879382=543 pmf=8330110655916.33691 MHz
20.618err=-0.587BZ=5(6.18) N=2L=29.9908439 pm *18.1055259=543 pmf=9996132787099.60547 MHz
20.618err=-0.587BZ=5(6.18) N=3L=59.9816878 pm *9.0527629=543 pmf=4998066393549.80273 MHz
20.618err=-0.996BZ=5(6.18) N=9L=3838.8280189 pm /7.0696649=543 pmf=78094787399.21567 MHz
20.618err=-0.996BZ=5(6.18) N=10L=7677.6560378 pm /14.1393297=543 pmf=39047393699.60783 MHz
20.618err=-0.587CZ=6(5.92) N=2L=35.9890127 pm *15.0879382=543 pmf=8330110655916.33691 MHz
20.618err=-0.587FZ=9(5.33) N=1L=26.9917595 pm *20.1172510=543 pmf=11106814207888.44922 MHz
20.618err=-0.587FZ=9(5.33) N=2L=53.9835190 pm *10.0586255=543 pmf=5553407103944.22461 MHz
20.618err=-0.587FZ=9(5.33) N=3L=107.9670380 pm *5.0293127=543 pmf=2776703551972.11230 MHz
20.618err=-0.587NeZ=10(5.18) N=1L=29.9908439 pm *18.1055259=543 pmf=9996132787099.60547 MHz
20.618err=-0.587NeZ=10(5.18) N=2L=59.9816878 pm *9.0527629=543 pmf=4998066393549.80273 MHz
20.618err=-0.996NeZ=10(5.18) N=8L=3838.8280189 pm /7.0696649=543 pmf=78094787399.21567 MHz
20.618err=-0.996NeZ=10(5.18) N=9L=7677.6560378 pm /14.1393297=543 pmf=39047393699.60783 MHz
20.618err=-0.587MgZ=12(4.92) N=1L=35.9890127 pm *15.0879382=543 pmf=8330110655916.33691 MHz
20.618err=-0.587PZ=15(4.59) N=1L=44.9862658 pm *12.0703506=543 pmf=6664088524733.06934 MHz
20.618err=-0.587PZ=15(4.59) N=2L=89.9725317 pm *6.0351753=543 pmf=3332044262366.53467 MHz
20.618err=-0.587PZ=15(4.59) N=3L=179.9450634 pm *3.0175876=543 pmf=1666022131183.26733 MHz
20.618err=-0.154ClZ=17(4.41) N=6L=1631.5019080 pm /3.0046076=543 pmf=183752440939.33093 MHz
20.618err=-0.154ClZ=17(4.41) N=7L=3263.0038161 pm /6.0092151=543 pmf=91876220469.66547 MHz
20.618err=-0.154ClZ=17(4.41) N=8L=6526.0076322 pm /12.0184303=543 pmf=45938110234.83273 MHz
20.618err=-0.587ArZ=18(4.33) N=0L=26.9917595 pm *20.1172510=543 pmf=11106814207888.44922 MHz
20.618err=-0.587ArZ=18(4.33) N=1L=53.9835190 pm *10.0586255=543 pmf=5553407103944.22461 MHz
20.618err=-0.587ArZ=18(4.33) N=2L=107.9670380 pm *5.0293127=543 pmf=2776703551972.11230 MHz
20.618err=-0.308KZ=19(4.25) N=0L=28.4913017 pm *19.0584483=543 pmf=10522245039052.21484 MHz
20.618err=-0.587CaZ=20(4.18) N=0L=29.9908439 pm *18.1055259=543 pmf=9996132787099.60547 MHz
20.618err=-0.587CaZ=20(4.18) N=1L=59.9816878 pm *9.0527629=543 pmf=4998066393549.80273 MHz
20.618err=-0.996CaZ=20(4.18) N=7L=3838.8280189 pm /7.0696649=543 pmf=78094787399.21567 MHz
20.618err=-0.996CaZ=20(4.18) N=8L=7677.6560378 pm /14.1393297=543 pmf=39047393699.60783 MHz
20.618err=-0.587CrZ=24(3.92) N=0L=35.9890127 pm *15.0879382=543 pmf=8330110655916.33691 MHz
20.618err=-0.464CoZ=27(3.75) N=8L=10364.8356511 pm /19.0880951=543 pmf=28923995333.04283 MHz
20.618err=-0.587ZnZ=30(3.59) N=0L=44.9862658 pm *12.0703506=543 pmf=6664088524733.06934 MHz
20.618err=-0.587ZnZ=30(3.59) N=1L=89.9725317 pm *6.0351753=543 pmf=3332044262366.53467 MHz
20.618err=-0.587ZnZ=30(3.59) N=2L=179.9450634 pm *3.0175876=543 pmf=1666022131183.26733 MHz
20.618err=-0.154SeZ=34(3.41) N=5L=1631.5019080 pm /3.0046076=543 pmf=183752440939.33093 MHz
20.618err=-0.154SeZ=34(3.41) N=6L=3263.0038161 pm /6.0092151=543 pmf=91876220469.66547 MHz
20.618err=-0.154SeZ=34(3.41) N=7L=6526.0076322 pm /12.0184303=543 pmf=45938110234.83273 MHz
20.618err=-0.587KrZ=36(3.33) N=-1L=26.9917595 pm *20.1172510=543 pmf=11106814207888.44922 MHz
20.618err=-0.587KrZ=36(3.33) N=0L=53.9835190 pm *10.0586255=543 pmf=5553407103944.22461 MHz
20.618err=-0.587KrZ=36(3.33) N=1L=107.9670380 pm *5.0293127=543 pmf=2776703551972.11230 MHz
20.618err=-0.607RbZ=37(3.29) N=7L=7101.8318350 pm /13.0788800=543 pmf=42213398594.17063 MHz
20.618err=-0.308SrZ=38(3.25) N=-1L=28.4913017 pm *19.0584483=543 pmf=10522245039052.21484 MHz
20.618err=-0.587ZrZ=40(3.18) N=-1L=29.9908439 pm *18.1055259=543 pmf=9996132787099.60547 MHz
20.618err=-0.587ZrZ=40(3.18) N=0L=59.9816878 pm *9.0527629=543 pmf=4998066393549.80273 MHz
20.618err=-0.996ZrZ=40(3.18) N=6L=3838.8280189 pm /7.0696649=543 pmf=78094787399.21567 MHz
20.618err=-0.996ZrZ=40(3.18) N=7L=7677.6560378 pm /14.1393297=543 pmf=39047393699.60783 MHz
20.618err=-0.587RhZ=45(3.01) N=3L=539.8351902 pm *1.0058625=543 pmf=555340710394.42249 MHz
20.618err=-0.587CdZ=48(2.92) N=-1L=35.9890127 pm *15.0879382=543 pmf=8330110655916.33691 MHz
20.618err=-0.154SbZ=51(2.83) N=6L=4894.5057241 pm /9.0138227=543 pmf=61250813646.44364 MHz
20.618err=-0.154SbZ=51(2.83) N=7L=9789.0114483 pm /18.0276454=543 pmf=30625406823.22182 MHz
20.618err=-0.464XeZ=54(2.75) N=7L=10364.8356511 pm /19.0880951=543 pmf=28923995333.04283 MHz
20.618err=-0.743LaZ=57(2.67) N=5L=2735.1649635 pm /5.0371362=543 pmf=109606719156.79390 MHz
20.618err=-0.743LaZ=57(2.67) N=6L=5470.3299270 pm /10.0742724=543 pmf=54803359578.39695 MHz
20.618err=-0.743LaZ=57(2.67) N=7L=10940.6598539 pm /20.1485449=543 pmf=27401679789.19847 MHz
20.618err=-0.587NdZ=60(2.59) N=-1L=44.9862658 pm *12.0703506=543 pmf=6664088524733.06934 MHz
20.618err=-0.587NdZ=60(2.59) N=0L=89.9725317 pm *6.0351753=543 pmf=3332044262366.53467 MHz
20.618err=-0.587NdZ=60(2.59) N=1L=179.9450634 pm *3.0175876=543 pmf=1666022131183.26733 MHz
20.618err=-0.154ErZ=68(2.41) N=4L=1631.5019080 pm /3.0046076=543 pmf=183752440939.33093 MHz
20.618err=-0.154ErZ=68(2.41) N=5L=3263.0038161 pm /6.0092151=543 pmf=91876220469.66547 MHz
20.618err=-0.154ErZ=68(2.41) N=6L=6526.0076322 pm /12.0184303=543 pmf=45938110234.83273 MHz
20.618err=-0.587HfZ=72(2.33) N=-2L=26.9917595 pm *20.1172510=543 pmf=11106814207888.44922 MHz
20.618err=-0.587HfZ=72(2.33) N=-1L=53.9835190 pm *10.0586255=543 pmf=5553407103944.22461 MHz
20.618err=-0.587HfZ=72(2.33) N=0L=107.9670380 pm *5.0293127=543 pmf=2776703551972.11230 MHz
20.618err=-0.607WZ=74(2.29) N=6L=7101.8318350 pm /13.0788800=543 pmf=42213398594.17063 MHz
20.618err=-0.308OsZ=76(2.25) N=-2L=28.4913017 pm *19.0584483=543 pmf=10522245039052.21484 MHz
20.618err=-0.587HgZ=80(2.18) N=-2L=29.9908439 pm *18.1055259=543 pmf=9996132787099.60547 MHz
20.618err=-0.587HgZ=80(2.18) N=-1L=59.9816878 pm *9.0527629=543 pmf=4998066393549.80273 MHz
20.618err=-0.996HgZ=80(2.18) N=5L=3838.8280189 pm /7.0696649=543 pmf=78094787399.21567 MHz
20.618err=-0.996HgZ=80(2.18) N=6L=7677.6560378 pm /14.1393297=543 pmf=39047393699.60783 MHz
20.618err=-0.239AtZ=85(2.09) N=-2L=31.8652716 pm *17.0404949=543 pmf=9408124976093.74609 MHz
20.618err=-0.154AtZ=85(2.09) N=6L=8157.5095402 pm /15.0230378=543 pmf=36750488187.86620 MHz
20.618err=-0.587ThZ=90(2.01) N=2L=539.8351902 pm *1.0058625=543 pmf=555340710394.42249 MHz
20.618err=-0.522PaZ=91(1.99) N=2L=545.8333589 pm /1.0052180=543 pmf=549238065225.25299 MHz
20.618err=-0.587CmZ=96(1.92) N=-2L=35.9890127 pm *15.0879382=543 pmf=8330110655916.33691 MHz
20.618err=-0.847BkZ=97(1.90) N=6L=9309.1579459 pm /17.1439373=543 pmf=32204036040.91368 MHz
20.618err=-0.154NoZ=102(1.83) N=5L=4894.5057241 pm /9.0138227=543 pmf=61250813646.44364 MHz
20.618err=-0.154NoZ=102(1.83) N=6L=9789.0114483 pm /18.0276454=543 pmf=30625406823.22182 MHz
20.618err=-0.447LrZ=103(1.81) N=-2L=38.6132115 pm *14.0625444=543 pmf=7763986630756.97461 MHz
20.618err=-0.447LrZ=103(1.81) N=-1L=77.2264230 pm *7.0312722=543 pmf=3881993315378.48730 MHz
20.618err=-0.464HsZ=108(1.75) N=6L=10364.8356511 pm /19.0880951=543 pmf=28923995333.04283 MHz
20.618err=-0.378RgZ=111(1.71) N=-2L=41.6122959 pm *13.0490277=543 pmf=7204420026738.45312 MHz
20.618err=-0.743FlZ=114(1.67) N=4L=2735.1649635 pm /5.0371362=543 pmf=109606719156.79390 MHz
20.618err=-0.743FlZ=114(1.67) N=5L=5470.3299270 pm /10.0742724=543 pmf=54803359578.39695 MHz
20.618err=-0.743FlZ=114(1.67) N=6L=10940.6598539 pm /20.1485449=543 pmf=27401679789.19847 MHz

26 Treffer,mit factor2: 3(1),0(2*),0(2/),3(3*),3(3/),4(5*),2(5/),1(7*),5(7/),bei Basis=2, Cx=2.4263102389E-12, Factor=0.6180339887498948482, c=299792458, genau=1%, mod=3, Suchwort=543 pm
 
 
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