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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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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      Attention ! Factor 18 to L and to T, invers to f
BFerror L[%] ZN[1pm=1.0E-12m] Factor2[1MHz=1.0E6Hz]
218err=-1.72BeZ=4(0.39) N=2L=698.7773488 pm /3.0514295=229pm hcpf=429024292950.33142 MHz
218err=-1.72BeZ=4(0.39) N=3L=1397.5546976 pm /6.1028589=229pm hcpf=214512146475.16571 MHz
218err=-1.72BeZ=4(0.39) N=4L=2795.1093952 pm /12.2057179=229pm hcpf=107256073237.58286 MHz
218err=-1.82NaZ=11(-0.17) N=-4L=30.0255892 pm *14.2545079=428pm bccf=9984565363207.71289 MHz
218err=-1.82NaZ=11(-0.17) N=-3L=60.0511784 pm *7.1272540=428pm bccf=4992282681603.85645 MHz
218err=-0.786MgZ=12(-0.71) N=3L=4192.6640928 pm /13.1020753=320pm hexf=71504048825.05524 MHz
218err=-1.5SiZ=14(-0.17) N=-4L=38.2143863 pm *14.2093084=543pm diaf=7845015642520.34668 MHz
218err=-1.5SiZ=14(-0.17) N=-3L=76.4287725 pm *7.1046542=543pm diaf=3922507821260.17334 MHz
218err=-0.0909SiZ=14(-0.17) N=3L=4891.4414416 pm /9.0081795=543pm diaf=61289184707.19021 MHz
218err=-0.0909SiZ=14(-0.17) N=4L=9782.8828832 pm /18.0163589=543pm diaf=30644592353.59510 MHz
218err=-1.85CaZ=20(-0.65) N=-5L=27.2959902 pm *20.3692922=556pm hcpf=10983021899528.48438 MHz
218err=-1.85CaZ=20(-0.65) N=-4L=54.5919804 pm *10.1846461=556pm hcpf=5491510949764.24219 MHz
218err=-1.85CaZ=20(-0.65) N=-3L=109.1839608 pm *5.0923230=556pm hcpf=2745755474882.12109 MHz
218err=-0.216TiZ=22(-1.70) N=2L=3843.2754184 pm /13.0280523=295pm bccf=78004416900.06026 MHz
218err=-1.61VZ=23(-1.73) N=-6L=15.6951944 pm *19.3052722=303pm bccf=19100907651353.88281 MHz
218err=-0.212MnZ=25(-0.30) N=-4L=68.2399755 pm *13.0275545=889pm bccf=4393208759811.39355 MHz
218err=-0.748FeZ=26(-1.99) N=-2L=283.8782980 pm *1.0074740=286pm bccf=1056059798031.58508 MHz
218err=-0.748ZnZ=30(-1.40) N=-5L=40.9439853 pm *12.0896878=495pm c-hcpf=7322014599685.65527 MHz
218err=-0.748ZnZ=30(-1.40) N=-4L=81.8879706 pm *6.0448439=495pm c-hcpf=3661007299842.82764 MHz
218err=-0.748ZnZ=30(-1.40) N=-3L=163.7759411 pm *3.0224220=495pm c-hcpf=1830503649921.41382 MHz
218err=-1.18RbZ=37(-1.52) N=-5L=50.4975818 pm *11.1292458=562pm bccf=5936768594339.72168 MHz
218err=-1.68RuZ=44(-2.83) N=0L=1921.6377092 pm /7.1171767=270pm a-hcpf=156008833800.12051 MHz
218err=-1.68RuZ=44(-2.83) N=1L=3843.2754184 pm /14.2343534=270pm a-hcpf=78004416900.06026 MHz
218err=-1.59RuZ=44(-2.17) N=-6L=30.0255892 pm *14.2212030=427pm c-hcpf=9984565363207.71289 MHz
218err=-1.59RuZ=44(-2.17) N=-5L=60.0511784 pm *7.1106015=427pm c-hcpf=4992282681603.85645 MHz
218err=-0.00717RuZ=44(-2.17) N=1L=3843.2754184 pm /9.0006450=427pm c-hcpf=78004416900.06026 MHz
218err=-0.00717RuZ=44(-2.17) N=2L=7686.5508368 pm /18.0012900=427pm c-hcpf=39002208450.03013 MHz
218err=-0.621AgZ=47(-2.33) N=0L=2052.6584621 pm /5.0310256=408pm fccf=146050823132.02771 MHz
218err=-0.621AgZ=47(-2.33) N=1L=4105.3169242 pm /10.0620513=408pm fccf=73025411566.01385 MHz
218err=-0.621AgZ=47(-2.33) N=2L=8210.6338484 pm /20.1241026=408pm fccf=36512705783.00693 MHz
218err=-0.748CdZ=48(-2.82) N=-7L=16.3775941 pm *18.1345317=297pm a-hcpf=18305036499214.14062 MHz
218err=-0.748CdZ=48(-2.82) N=-6L=32.7551882 pm *9.0672659=297pm a-hcpf=9152518249607.07031 MHz
218err=-0.834CdZ=48(-2.82) N=0L=2096.3320464 pm /7.0583571=297pm a-hcpf=143008097650.11047 MHz
218err=-0.834CdZ=48(-2.82) N=1L=4192.6640928 pm /14.1167141=297pm a-hcpf=71504048825.05524 MHz
218err=-0.748CdZ=48(-1.90) N=-6L=32.7551882 pm *17.1270577=561pm c-hcpf=9152518249607.07031 MHz
218err=-1.93InZ=49(-2.12) N=2L=8560.0225228 pm /17.3279808=494pm c-tpf=35022391261.25154 MHz
218err=-0.338SnZ=50(-1.91) N=-6L=34.1199877 pm *17.0574504=582pm tpf=8786417519622.78711 MHz
218err=-0.0541SnZ=50(-1.91) N=2L=8734.7168600 pm /15.0081046=582pm tpf=34321943436.02651 MHz
218err=-1.63CsZ=55(-3.17) N=-7L=18.7659933 pm *14.2278640=267pm bccf=15975304581132.33984 MHz
218err=-1.63CsZ=55(-3.17) N=-6L=37.5319865 pm *7.1139320=267pm bccf=7987652290566.16992 MHz
218err=-1.05BaZ=56(-2.28) N=-6L=38.2143863 pm *13.1364140=502pm bccf=7845015642520.34668 MHz
218err=-1.76LaZ=57(-2.73) N=-7L=19.4483930 pm *19.3332169=376pm fccf=15414767578285.59180 MHz
218err=-1.86LaZ=57(-2.73) N=1L=4978.7886102 pm /13.2414591=376pm fccf=60213935852.67809 MHz
218err=-0.2HfZ=72(-3.30) N=-7L=24.5663912 pm *13.0259263=320pm bccf=12203357666142.75977 MHz
218err=-1.92TaZ=73(-3.27) N=-7L=24.9075910 pm *13.2489729=330pm bccf=12036188383044.91406 MHz
218err=-1.7TaZ=73(-3.27) N=1L=6376.3433078 pm /19.3222524=330pm bccf=47016360871.26920 MHz
218err=-1.32OsZ=76(-3.60) N=-2L=829.7981017 pm /3.0395535=273pm a-hcpf=361283615116.06854 MHz
218err=-1.32OsZ=76(-3.60) N=-1L=1659.5962034 pm /6.0791070=273pm a-hcpf=180641807558.03427 MHz
218err=-1.32OsZ=76(-3.60) N=0L=3319.1924068 pm /12.1582139=273pm a-hcpf=90320903779.01714 MHz
218err=-0.663AuZ=79(-3.08) N=-7L=26.9547903 pm *15.0993569=407pm fccf=11122047493193.40234 MHz
218err=-1.16HgZ=80(-4.48) N=-1L=1746.9433720 pm /11.1270278=157pm a-rf=171609717180.13257 MHz
218err=-1.97BiZ=83(-2.93) N=1L=7249.8149938 pm /15.2949683=474pm rf=41351739079.55002 MHz

24 Treffer,mit factor2: 1(1),0(2*),0(2/),1(3*),2(3/),1(5*),1(5/),4(7*),2(7/),bei Basis=2, Cx=2.4263102389E-12, Factor=18, c=299792458, genau=2%, mod=3, Suchwort=118L pm
 
 
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