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Periodensystem der Elemente (Quelle: größtenteils www.lenntech.de)
Germanium    Ge    Kernladungszahl Z=32 (p=32)
 Ge(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.Ge7442 73.92117781 73.90362325 36.73% 0+   stabil   -73.4224E6 645.665E6 0.36#σ(n.γ); 0.164#σ(n.it) 
2.Ge7240 71.92207583 71.90452127  27.31% 0+   stabil   -72.5859E6 628.686E6 0.89#σ(n.γ); 0.5#σ(n.it) 
3.Ge7038 69.92424739 69.90669284 20.37% 0+   stabil   -70.5631E6 610.521E6 2.77#σ(n.γ); 0.28#σ(n.it) 
4.Ge7341 72.92345898 72.90590443 7.76% 9/2+   stabil   -71.2975E6 635.469E6 14.7#σ(n.γ) 
5.Ge7644 75.92140261 75.90384805 8.83% 0+ radioakt. 1.6E21a   -73.213E6 661.598E6 55E-3#σ(n.γ); 0.1#σ(n.it) 
6.Ge73+141 72.92345898 72.90590443  1/2− radioakt. 0.499 IT=100 0.067E6 -71.2975E6 635.469E6  
7.Ge71+139 70.92495099 70.90739644  9/2+ radioakt. 20.40E-3 IT=100 0.198E6 -69.9077E6 617.937E6  
8.Ge7139 70.92495099 70.90739644  1/2− radioakt. 11.43d K=100 0.233E6 -69.9077E6 617.937E6  
9.Ge69+237 68.92796454 68.91040998  9/2+ radioakt. 2.81E-6 IT=100 0.398E6 -67.1006E6 598.987E6  
10.Ge69+137 68.92796454 68.91040998  1/2− radioakt. 5.1E-6 IT=100 0.087E6 -67.1006E6 598.987E6  
11.Ge6937 68.92796454 68.91040998  5/2− radioakt. 39.05h K/β+=100 2.226E6 -67.1006E6 598.987E6  
12.Ge6836 67.92809422 67.91053967  0+ radioakt. 270.8d K=100 0.106E6 -66.9798E6 590.795E6 1#σ(n.γ) 
13.Ge6735 66.93273494 66.91518038  1/2− radioakt. 18.9min K/β+=100 4.222E6 -62.657E6 578.401E6  
14.Ge6634 65.93384348 65.91628893  0+ radioakt. 2.26h K/β+=100 2.1E6 -61.6244E6 569.297E6  
15.Ge6533 64.93943643 64.92188188  3/2− radioakt. 30.9 K/β+=100 6.243E6 -56.4146E6 556.016E6  
16.Ge6432 63.94165395 63.92409939  0+ radioakt. 63.7  K/β+=100 4.485E6 -54.349E6 545.879E6  
17.Ge6331 62.94964004 62.93208549  3/2− radioakt. 142E-3 K/β+=100 9.637E6 -46.91E6 530.368E6  
18.Ge6230 61.95465027 61.93709572  0+ radioakt. 0.11 ß-=>0; β−n=>0 9.757E6(ß-); 6.468E6(ß-n) -42.243E6 517.63E6  
19.Ge6129 60.96379043 60.94623587  3/2− radioakt. 39E-3 K/β+=20; Kp=80 13.361E6(K/β+); 13.17E6(Kp) -33.729E6 501.045E6  
20.Ge6028 59.97018982 59.95263527  0+ radioakt. 30E-3 ε>0%; pε>0%; p >0%  12.23E6(ε); 12.204E6(pε); -0.936E6(p) -27.768E6 487.012E6  
21.Ge7543 74.92285898 74.90530442  1/2− radioakt. 82.78min ß-=100 1.176E6 -71.8564E6 652.171E6  
22.Ge75+143 74.92285898 74.90530442  7/2+ radioakt. 47.7 IT=99.970; β−=0.030 0.140E6(IT); 1.316E6(β−) -71.8564E6 652.171E6  
23.Ge7745 76.92354862 76.90599407  7/2+ radioakt. 11.30h ß-=100 2.703E6 -71.214E6 667.671E6  
24.Ge77+145 76.92354862 76.90599407  1/2− radioakt. 52.9  β−=81; IT=19 2.862E6(β−); 0.160E6(IT) -71.214E6 667.671E6  
25.Ge7846 77.92285275 77.9052982  0+ radioakt. 5280.120 ß-=100 0.955E6 -71.8622E6 676.39E6  
26.Ge7947 78.92540102 78.90784647  1/2− radioakt. 18.98 -β−=100 4.148E6 -69.4885E6 682.088E6  
27.Ge79+147 78.92540102 78.90784647  7/2+ radioakt. 39.0 β−=96; IT=4 4.336E6(β−); 0.186E6(IT) -69.4885E6 682.088E6  
28.Ge8048 79.92537236 79.9078178  0+ radioakt. 29.5 ß-=100 2.644E6 -69.5152E6 690.186E6  
29.Ge80+148 79.92537236 79.9078178  1/2+ radioakt. 7.6 ß-=100 6.909E6 -69.5152E6 690.186E6  
30.Ge8149 80.92882048 80.91126592  9/2+ radioakt. 7.6  ß-=100 6.23E6 -66.3033E6 695.045E6  
31.Ge81+149 80.92882048 80.91126592  1/2+ radioakt. 7.6 ß-=100 6.909E6 -66.3033E6 695.045E6  
32.Ge8250 81.92954974 81.91199518  0+ radioakt. 4.55 ß-=100 4.7E6 -65.624E6 702.437E6  
33.Ge8351 82.93462009 82.91706553  5/2+ radioakt. 1.85  ß-=100 8.98E6 -60.901E6 705.786E6  
34.Ge8452 83.93747035 83.91991579  0+ radioakt. 947E6 β−=100 7.836E6 -58.246E6 711.202E6  
35.Ge8553 84.94303023 84.92547567  5/2+ radioakt. 535E-3 β−=100 10.256E6 -53.067E6 714.094E6  
36.Ge8654 85.94649026 85.92893571  0+ radioakt. <150E-9 ß-=100 9.306E6 -49.844E6 718.943E6  
37.Ge8755 86.95250963 86.93495507  5/2+ radioakt. 140E-9 β−=<100. β−n>0 11.746E6(ß-); 6.842E6(ß-n) -44.237E6 721.407E6  
38.Ge8856 87.95691008 87.93935553   0+ radioakt. <300E-9 ß-=>0; β−n=<100 11.15E6(ß-); 7.774E6(ß-n) -40.138E6 725.379E6  


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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 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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