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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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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 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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