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Periodensystem der Elemente (Quelle: größtenteils www.lenntech.de)
Mangan    Mn    Kernladungszahl Z=25 (p=25)
 Mn(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.Mn5530 54.93804576 54.92433127 100% 5/2−   stabil   -57.71E6 482.074E6 13.36#σ(n.γ) 
2.Mn5429 53.94035882 53.92664433  3+ radioakt. 312.3d K/β+=<100; β−<2.9E−4 1.377E6(K/β+); 0.697E6(β−) -55.5554E6 471.848E6 38#σ(n.γ) 
3.Mn5328 52.94129109 52.92757659  7/2− radioakt. 3.74E6a K=100 0.597E6 -54.687E6 462.908E6 66#σ(n.γ) 
4.Mn52+127 51.94556594 51.93185144  2+ radioakt. 21.1min K/β+=98.25; IT=1.75 5.090E6(K/β+); 0.378E6(IT) -50.705E6 450.855E6 55^±TSP 
5.Mn5227 51.94556594 51.93185144  6+ radioakt. 5.591d K/β+=100 4.711E6 -50.705E6 450.855E6 7.2^±TSP 
6.Mn5126 50.94821083 50.93449633  5/2− radioakt. 46.2min K/β+=100 3.207E6 -48.2413E6 440.32E6 13^±TSP 
7.Mn50+125 49.95423825 49.94052375  5+ radioakt. 1.75min K/β+=100 7.862E6 -42.6268E6 426.634E6 26^±TSP 
8.Mn5025 49.95423825 49.94052375  0+ radioakt. 283.88E-3 K/β+=100 7.633E6 -42.6268E6 426.634E6 94^±TSP 
9.Mn4924 48.95961864 48.94590414  5/2− radioakt. 382E-3 K/β+=100 7.715E6 -37.615E6 413.551E6 89^±TSP 
10.Mn4823 47.96852003 47.95480554  4+ radioakt. 158.1E-3 K/β+=<=>99.72; Kp=<=>0.28; Kα<6E−4 13.496E6(K/β+); 5.39E6(Kp); 5.8E6(Kα) -29.3234E6 397.188E6 8.4^±TSP 
11.Mn4722 46.97609969 46.96238519  5/2− radioakt. 100E-3 K/β+=99.6; Kp>3.4 12.295E6(K/β+); 5.721E6(Kp) -22.263E6 382.057E6 9.6^±TSP 
12.Mn4621 45.98672026 45.97300576  4+ radioakt. 34E-3 K=78; Kp=22 17.104E6(K); 12.22E6(Kp) -12.37E6 364.092E6 92^±TSP 
13.Mn4520 44.9945099 44.9807954   radioakt.  ß-=>0; β−n=>0 13.851E6(ß-); 11.713E6(β−n) -5.114E6 348.765E6 0.23^±TSP 
14.Mn4419 44.00686961 43.99315511  2− radioakt. 10E-9 ß-=>0; β−n=>0 19.86E6(ß-); 17.134E6(β−n) 6.399E6 329.181E6 95^±TSP 
15.Mn5631 55.93890492 55.92519042  3+ radioakt. 2.5785h ß-=100 3.696E6 -56.9097E6 489.345E6 7.5^±TSP 
16.Mn5732 56.93828538 56.92457088   5/2− radioakt. 85.4 ß-=100 2.693E6 -57.4868E6 497.994E6 2.9^±TSP 
17.Mn5833 57.93998158 57.92626708  1+ radioakt. ß-=100 6.247E6 -55.9068E6 504.485E6 26^±TSP 
18.Mn58+133 57.93998158 57.92626708  4+ radioakt. 65.2 β−≈80; IT≈20  6.322E6(β−); 0.072E6(IT) -55.9068E6 504.485E6 19^±TSP 
19.Mn5934 58.9404402 58.9267257  5/2− radioakt. 4.59 ß-=100 5.184E6 -55.4796E6 512.129E6 24^±TSP 
20.Mn6035 59.94291128 59.92919678  0+ radioakt. 51 ß-=100 8.234E6 -53.1778E6 517.899E6 93^±TSP 
21.Mn60+135 59.94291128 59.92919678  3+ radioakt. 1.77 β−=88.5; IT=11.5 8.902E6(β−); 0.272E6(IT) -53.1778E6 517.899E6 0.64^±TSP 
22.Mn6136 60.94465268 60.93093818  5/2− radioakt. 670E-3 ß-=100 7.366E6 -51.5557E6 524.348E6 55^±TSP 
23.Mn6237 61.94842908 61.93471459  3+ radioakt. 880E-3 ß-=>0; β−n=>0 10.862E6(ß-); 2.812E6(β−n) -48.038E6 528.901E6 15^±TSP 
24.Mn6338 62.95023994 62.93652544  5/2− radioakt. 290E-3 ß-=100 9.195E6 -46.3512E6 535.286E6 96^±TSP 
25.Mn6439 63.95424984 63.94053534  1+ radioakt. 90E-3 β−=67; β−n=33 12.154E6(ß-); 4.858E6(β−n) -42.616E6 539.622E6 16^±TSP 
26.Mn6540 64.95443771 64.94072321  4+ radioakt. 500E-6 β−=93.08; β−n=6.92 8.437E6(ß-); 4.258E6(β−n) -42.441E6 547.518E6 13^±TSP 
27.Mn6641 65.96107973 65.94736523   radioakt. 64E-3 β−=89.12; β−n=10.88 13.319E6(ß-); 6.553E6(β−n) -36.254E6 549.403E6 99^±TSP 
28.Mn6742 66.9641404 66.95042591  5/2− radioakt. 47E-3 ß-=>0; β−n=>0 12.289E6(ß-); 8.099E6(β−n) -33.403E6 554.623E6 45^±TSP 
29.Mn6843 67.96912057 67.95540608   radioakt.  ß-=>0; β−n=>0 14.364E6(ß-); 8.857E6(β−n) -28.764E6 558.055E6 12^±TSP 
30.Mn6944 68.97284041 68.95912591  5/2− radioakt. 14E-3 ß-=>0; β−n=>0 13.097E6(ß-); 9.758E6(β−n) -25.299E6 562.662E6 0.11^±TSP 


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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
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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