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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. 3 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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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 ! Basis 2.7182818284590452353602874713527
Berror L[%] ZN[1pm=1.0E-12m] Factor2[1MHz=1.0E6Hz]
2.71err=-0.959HeZ=2(4.72) N=2L=35.8562849 pm *15.1437886=543 pmf=8360945885062.16797 MHz
2.71err=-0.959LiZ=3(4.31) N=2L=53.7844274 pm *10.0958591=543 pmf=5573963923374.77734 MHz
2.71err=-0.959BZ=5(3.80) N=2L=89.6407123 pm *6.0575155=543 pmf=3344378354024.86670 MHz
2.71err=-0.148BZ=5(3.80) N=6L=4894.2170616 pm /9.0132911=543 pmf=61254426239.61868 MHz
2.71err=-0.959CZ=6(3.62) N=2L=107.5688548 pm *5.0479295=543 pmf=2786981961687.38867 MHz
2.71err=-0.959NeZ=10(3.11) N=2L=179.2814247 pm *3.0287577=543 pmf=1672189177012.43335 MHz
2.71err=-0.148NeZ=10(3.11) N=6L=9788.4341232 pm /18.0265822=543 pmf=30627213119.80934 MHz
2.71err=-0.959PZ=15(2.70) N=2L=268.9221370 pm *2.0191718=543 pmf=1114792784674.95557 MHz
2.71err=-0.959ZnZ=30(2.01) N=2L=537.8442741 pm *1.0095859=543 pmf=557396392337.47778 MHz
2.71err=-0.0563GeZ=32(1.95) N=-1L=28.5628690 pm *19.0106954=543 pmf=10495880455449.38281 MHz
2.71err=-0.635AsZ=33(1.91) N=4L=4371.5776649 pm /8.0507876=543 pmf=68577635120.05333 MHz
2.71err=-0.81RbZ=37(1.80) N=0L=89.7734788 pm *6.0485570=543 pmf=3339432334316.09277 MHz
2.71err=-0.297RbZ=37(1.80) N=4L=4901.4658667 pm /9.0266406=543 pmf=61163836728.69621 MHz
2.71err=-0.0563SrZ=38(1.77) N=-1L=33.9184069 pm *16.0090066=543 pmf=8838636173010.00781 MHz
2.71err=-0.403NbZ=41(1.70) N=1L=270.4111963 pm *2.0080529=543 pmf=1108654013077.75195 MHz
2.71err=-0.025NbZ=41(1.70) N=4L=5431.3540685 pm /10.0024937=543 pmf=55196633145.40878 MHz
2.71err=-0.968RhZ=45(1.60) N=3L=2193.0184751 pm /4.0387081=543 pmf=136703115549.39291 MHz
2.71err=-0.553CsZ=55(1.40) N=-1L=49.0924310 pm *11.0607682=543 pmf=6106694083170.54980 MHz
2.71err=-0.519BaZ=56(1.39) N=3L=2729.0896579 pm /5.0259478=543 pmf=109850717852.19073 MHz
2.71err=-0.702PmZ=61(1.30) N=2L=1093.6166906 pm /2.0140271=543 pmf=274129373280.72678 MHz
2.71err=-0.839SmZ=62(1.28) N=4L=8213.2671279 pm /15.1257222=543 pmf=36500999338.09290 MHz
2.71err=-0.635DyZ=66(1.22) N=4L=8743.1553297 pm /16.1015752=543 pmf=34288817560.02666 MHz
2.71err=-0.886HoZ=67(1.21) N=-1L=59.8035069 pm *9.0797351=543 pmf=5012957829468.36230 MHz
2.71err=-0.22HoZ=67(1.21) N=3L=3265.1608407 pm /6.0131876=543 pmf=91815525368.99524 MHz
2.71err=-0.456YbZ=70(1.16) N=4L=9273.0435315 pm /17.0774282=543 pmf=32329456556.59657 MHz
2.71err=-0.81WZ=74(1.11) N=0L=179.5469577 pm *3.0242785=543 pmf=1669716167158.04639 MHz
2.71err=-0.297WZ=74(1.11) N=4L=9802.9317333 pm /18.0532813=543 pmf=30581918364.34810 MHz
2.71err=-0.0563OsZ=76(1.08) N=-1L=67.8368138 pm *8.0045033=543 pmf=4419318086505.00391 MHz
2.71err=-0.00611PtZ=78(1.05) N=3L=3801.2320235 pm /7.0004273=543 pmf=78867182047.72667 MHz
2.71err=-0.154PtZ=78(1.05) N=4L=10332.8199351 pm /19.0291343=543 pmf=29013614858.48410 MHz
2.71err=-0.833PbZ=82(1.00) N=-2L=26.9259614 pm *20.1664108=543 pmf=11133955557356.68555 MHz
2.71err=-0.403PbZ=82(1.00) N=1L=540.8223927 pm *1.0040265=543 pmf=554327006538.87598 MHz
2.71err=-0.025PbZ=82(1.00) N=4L=10862.7081369 pm /20.0049874=543 pmf=27598316572.70439 MHz
2.71err=-0.814BiZ=83(0.99) N=1L=547.4177877 pm /1.0081359=543 pmf=547648367905.87750 MHz
2.71err=-0.0391FrZ=87(0.94) N=-2L=28.5677884 pm *19.0074217=543 pmf=10494073054060.32227 MHz
2.71err=-0.968ThZ=90(0.91) N=3L=4386.0369501 pm /8.0774161=543 pmf=68351557774.69646 MHz
2.71err=-0.956PaZ=91(0.90) N=-2L=29.8812499 pm *18.1719306=543 pmf=10032795117618.11133 MHz
2.71err=-0.152PaZ=91(0.90) N=2L=1631.4609646 pm /3.0045322=543 pmf=183757052418.94873 MHz
2.71err=-0.282BkZ=97(0.84) N=-2L=31.8514422 pm *17.0478937=543 pmf=9412209852610.80469 MHz
2.71err=-0.387MdZ=101(0.80) N=-1L=90.1515551 pm *6.0231906=543 pmf=3325427471033.46729 MHz
2.71err=-0.719MdZ=101(0.80) N=3L=4922.1081329 pm /9.0646559=543 pmf=60907328710.12554 MHz
2.71err=-0.343LrZ=103(0.78) N=-2L=33.8216345 pm *16.0548125=543 pmf=8863925783526.68164 MHz
2.71err=-0.221DsZ=110(0.71) N=-2L=36.1201922 pm *15.0331426=543 pmf=8299857779120.43750 MHz
2.71err=-0.81RgZ=111(0.70) N=0L=269.3204365 pm *2.0161857=543 pmf=1113144111438.69751 MHz
2.71err=-0.519CnZ=112(0.69) N=3L=5458.1793157 pm /10.0518956=543 pmf=54925358926.09537 MHz
2.71err=-0.956UusZ=117(0.65) N=-2L=38.4187499 pm *14.1337238=543 pmf=7803285091480.75391 MHz
2.71err=-0.0997UuoZ=118(0.64) N=-2L=38.7471152 pm *14.0139465=543 pmf=7737155556807.18848 MHz

16 Treffer,mit factor2: 3(1),3(2*),1(2/),2(3*),1(3/),1(5*),1(5/),0(7*),1(7/),bei Basis=2.7182818284590452353602874713527, Cx=2.4263102389E-12, Factor=1, c=299792458, genau=1%, mod=3, Suchwort=543 pm
 
 
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