Elementarwellen
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LM
PSE-Tabelle einblenden
Please Select Elements
all
nothing
Z=1
Wasserstoff
H
Z=2
Helium
He
Z=3
Lithium
Li
Z=4
Beryllium
Be
Z=5
Bor
B
Z=6
Kohlenstoff
C
Z=7
Stickstoff
N
Z=8
Sauerstoff
O
Z=9
Fluor
F
Z=10
Neon
Ne
Z=11
Natrium
Na
Z=12
Magnesium
Mg
Z=13
Aluminium
Al
Z=14
Silizium
Si
Z=15
Phosphor
P
Z=16
Schwefel
S
Z=17
Chlor
Cl
Z=18
Argon
Ar
Z=19
Kalium
K
Z=20
Calcium
Ca
Z=21
Scandium
Sc
Z=22
Titan
Ti
Z=23
Vanadium
V
Z=24
Chrom
Cr
Z=25
Mangan
Mn
Z=26
Eisen
Fe
Z=27
Kobalt
Co
Z=28
Nickel
Ni
Z=29
Kupfer
Cu
Z=30
Zink
Zn
Z=31
Gallium
Ga
Z=32
Germanium
Ge
Z=33
Arsen
As
Z=34
Selen
Se
Z=35
Brom
Br
Z=36
Krypton
Kr
Z=37
Rubidium
Rb
Z=38
Strontium
Sr
Z=39
Yttrium
Y
Z=40
Zirkon
Zr
Z=41
Niob
Nb
Z=42
Molybdän
Mo
Z=43
Technetium
Tc
Z=44
Ruthenium
Ru
Z=45
Rohdium
Rh
Z=46
Palladium
Pd
Z=47
Silber
Ag
Z=48
Cadmium
Cd
Z=49
Indium
In
Z=50
Zinn
Sn
Z=51
Antimon
Sb
Z=52
Tellur
Te
Z=53
Jod
J
Z=54
Xenon
Xe
Z=55
Cäsium
Cs
Z=56
Barium
Ba
Z=57
Lanthan
La
Z=58
Cer
Ce
Z=59
Praseodym
Pr
Z=60
Neodym
Nd
Z=61
Promethium
Pm
Z=62
Samarium
Sm
Z=63
Europium
Eu
Z=64
Gadolinium
Gd
Z=65
Terbium
Tb
Z=66
Dysprosium
Dy
Z=67
Holmium
Ho
Z=68
Erbium
Er
Z=69
Thulium
Tm
Z=70
Ytterbium
Yb
Z=71
Lutetium
Lu
Z=72
Hafnium
Hf
Z=73
Tantal
Ta
Z=74
Wolfram
W
Z=75
Rhenium
Re
Z=76
Osmium
Os
Z=77
Iridium
Ir
Z=78
Platin
Pt
Z=79
Gold
Au
Z=80
Quecksilber
Hg
Z=81
Thallium
Tl
Z=82
Blei
Pb
Z=83
Wismut
Bi
Z=84
Polonium
Po
Z=85
Astatin
At
Z=86
Radon
Rn
Z=87
Francium
Fr
Z=88
Radium
Ra
Z=89
Actinium
Ac
Z=90
Thorium
Th
Z=91
Protactinium
Pa
Z=92
Uran
U
Z=93
Neptunium
Np
Z=94
Plutonium
Pu
Z=95
Americium
Am
Z=96
Curium
Cm
Z=97
Berkelium
Bk
Z=98
Californium
Cf
Z=99
Einsteinium
Es
Z=100
Fermium
Fm
Z=101
Mendelevium
Md
Z=102
Nobelium
No
Z=103
Lawrencium
Lr
Z=104
Rutherfordium
Rf
Z=105
Dubnium
Db
Z=106
Seaborgium
Sg
Z=107
Bohrium
Bh
Z=108
Hassium
Hs
Z=109
Meitnerium
Mt
Z=110
Darmstadtium
Ds
Z=111
Roentgenium
Rg
Z=112
Copernicium
Cn
Z=113
Ununtrium
Uut
Z=114
Flerovium
Fl
Z=115
Ununpentium
Uup
Z=116
Livermorium
Lv
Z=117
Ununseptium
Uus
Z=118
Ununoctium
Uuo
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Actual Settings
START***1x*x2024-05-21_12:52:20***2x*x33***3x*x33***4x*x0_6_0_0_0***5x*x150***6x*xF_100_0_0***7x*x299792458***8x*x1.32140985623E-15***9x*x2.7182818284590452353602874713527***10x*x1***11x*x1_2_3_4_5_6_7_8_9_10_11_12_13_14_15_16_17_18_19_20_21_22_23_24_25_26_27_28_29_30_31_32_33_34_35_36_37_38_39_40_41_42_43_44_45_46_47_48_49_50_51_52_53_54_55_56_57_58_59_60_61_62_63_64_65_66_67_68_69_70_71_72_73_74_75_76_77_78_79_80_81_82_83_84_85_86_87_88_89_90_91_92_93_94_95_96_97_98_99_100_101_102_103_104_105_106_107_108_109_110_111_112_113_114_115_116_117_118***12x*x2***13x*x5_3_100_0_0***14x*x0_0_0_1_1_1_2_2***END
(SAVE settings with Ctrg-C as txt (Notepad) or
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Search for potenz N in selected elements Z with given L or f or T
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 2 Searching-Modus (Example)
1 Listing - Modus
2 Searching - Modus
3 Factor-Search
4 Basis(+Factor)-Search
5 Basis(+Factor)-Harmonics-Search
Value for Searching:
MHz
Length
Frequency
Time
Volume
Mass
error L maximal
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2%
5%
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Results
(search for N with 150 MHz) with Cp
Attention ! Basis 2.7182818284590452353602874713527
B
error L[%]
Z
N
[1m=1m]
[1MHz=1.0E6Hz]
[1s=1s]
2.71
err=4.63
H
Z=1
(34.95) N=35
L=2.09577 m
f=143.046 MHz
T=6.9907489400562E-9 s
2.71
err=-29.62
He
Z=2
(34.26) N=34
L=1.54198 m
f=194.420 MHz
T=5.1435056268754E-9 s
2.71
err=13.59
Li
Z=3
(33.85) N=34
L=2.31298 m
f=129.613 MHz
T=7.7152584403131E-9 s
2.71
err=35.19
Be
Z=4
(33.57) N=34
L=3.08397 m
f=97.210 MHz
T=1.0287011253751E-8 s
2.71
err=-40.94
B
Z=5
(33.34) N=33
L=1.41816 m
f=211.395 MHz
T=4.7304749391928E-9 s
2.71
err=-17.45
C
Z=6
(33.16) N=33
L=1.70179 m
f=176.163 MHz
T=5.6765699270313E-9 s
2.71
err=-0.665
N
Z=7
(33.01) N=33
L=1.98542 m
f=150.997 MHz
T=6.6226649148699E-9 s
2.71
err=11.91
O
Z=8
(32.87) N=33
L=2.26906 m
f=132.122 MHz
T=7.5687599027084E-9 s
2.71
err=21.7
F
Z=9
(32.76) N=33
L=2.55269 m
f=117.442 MHz
T=8.514854890547E-9 s
2.71
err=29.53
Ne
Z=10
(32.65) N=33
L=2.83632 m
f=105.698 MHz
T=9.4609498783855E-9 s
2.71
err=35.94
Na
Z=11
(32.55) N=33
L=3.11995 m
f=96.089 MHz
T=1.0407044866224E-8 s
2.71
err=-59.62
Mg
Z=12
(32.47) N=32
L=1.25211 m
f=239.430 MHz
T=4.1765867450538E-9 s
2.71
err=-47.35
Al
Z=13
(32.39) N=32
L=1.35645 m
f=221.012 MHz
T=4.5246356404749E-9 s
2.71
err=-36.82
Si
Z=14
(32.31) N=32
L=1.46079 m
f=205.226 MHz
T=4.8726845358961E-9 s
2.71
err=-27.7
P
Z=15
(32.24) N=32
L=1.56514 m
f=191.544 MHz
T=5.2207334313172E-9 s
2.71
err=-19.72
S
Z=16
(32.18) N=32
L=1.66948 m
f=179.572 MHz
T=5.5687823267384E-9 s
2.71
err=-12.68
Cl
Z=17
(32.12) N=32
L=1.77382 m
f=169.009 MHz
T=5.9168312221595E-9 s
2.71
err=-6.42
Ar
Z=18
(32.06) N=32
L=1.87816 m
f=159.620 MHz
T=6.2648801175807E-9 s
2.71
err=-0.813
K
Z=19
(32.01) N=32
L=1.98251 m
f=151.219 MHz
T=6.6129290130018E-9 s
2.71
err=4.22
Ca
Z=20
(31.96) N=32
L=2.08685 m
f=143.658 MHz
T=6.960977908423E-9 s
2.71
err=8.78
Sc
Z=21
(31.91) N=32
L=2.19119 m
f=136.817 MHz
T=7.3090268038441E-9 s
2.71
err=12.93
Ti
Z=22
(31.86) N=32
L=2.29553 m
f=130.598 MHz
T=7.6570756992653E-9 s
2.71
err=16.72
V
Z=23
(31.82) N=32
L=2.39988 m
f=124.920 MHz
T=8.0051245946864E-9 s
2.71
err=20.19
Cr
Z=24
(31.77) N=32
L=2.50422 m
f=119.715 MHz
T=8.3531734901076E-9 s
2.71
err=23.38
Mn
Z=25
(31.73) N=32
L=2.60856 m
f=114.926 MHz
T=8.7012223855287E-9 s
2.71
err=26.32
Fe
Z=26
(31.69) N=32
L=2.71290 m
f=110.506 MHz
T=9.0492712809499E-9 s
2.71
err=29.05
Co
Z=27
(31.66) N=32
L=2.81725 m
f=106.413 MHz
T=9.397320176371E-9 s
2.71
err=31.59
Ni
Z=28
(31.62) N=32
L=2.92159 m
f=102.613 MHz
T=9.7453690717922E-9 s
2.71
err=33.95
Cu
Z=29
(31.59) N=32
L=3.02593 m
f=99.074 MHz
T=1.0093417967213E-8 s
2.71
err=36.15
Zn
Z=30
(31.55) N=32
L=3.13027 m
f=95.772 MHz
T=1.0441466862634E-8 s
2.71
err=38.21
Ga
Z=31
(31.52) N=32
L=3.23462 m
f=92.683 MHz
T=1.0789515758056E-8 s
2.71
err=-62.71
Ge
Z=32
(31.49) N=31
L=1.22833 m
f=244.064 MHz
T=4.0972810607318E-9 s
2.71
err=-57.78
As
Z=33
(31.46) N=31
L=1.26672 m
f=236.668 MHz
T=4.2253210938797E-9 s
2.71
err=-53.14
Se
Z=34
(31.43) N=31
L=1.30510 m
f=229.708 MHz
T=4.3533611270276E-9 s
2.71
err=-48.77
Br
Z=35
(31.40) N=31
L=1.34349 m
f=223.144 MHz
T=4.4814011601754E-9 s
2.71
err=-44.64
Kr
Z=36
(31.37) N=31
L=1.38188 m
f=216.946 MHz
T=4.6094411933233E-9 s
2.71
err=-40.73
Rb
Z=37
(31.34) N=31
L=1.42026 m
f=211.083 MHz
T=4.7374812264712E-9 s
2.71
err=-37.02
Sr
Z=38
(31.31) N=31
L=1.45865 m
f=205.528 MHz
T=4.8655212596191E-9 s
2.71
err=-33.51
Y
Z=39
(31.29) N=31
L=1.49703 m
f=200.258 MHz
T=4.9935612927669E-9 s
2.71
err=-30.17
Zr
Z=40
(31.26) N=31
L=1.53542 m
f=195.251 MHz
T=5.1216013259148E-9 s
2.71
err=-27
Nb
Z=41
(31.24) N=31
L=1.57380 m
f=190.489 MHz
T=5.2496413590627E-9 s
2.71
err=-23.97
Mo
Z=42
(31.21) N=31
L=1.61219 m
f=185.954 MHz
T=5.3776813922105E-9 s
2.71
err=-21.09
Tc
Z=43
(31.19) N=31
L=1.65057 m
f=181.629 MHz
T=5.5057214253584E-9 s
2.71
err=-18.34
Ru
Z=44
(31.17) N=31
L=1.68896 m
f=177.501 MHz
T=5.6337614585063E-9 s
2.71
err=-15.71
Rh
Z=45
(31.15) N=31
L=1.72734 m
f=173.557 MHz
T=5.7618014916541E-9 s
2.71
err=-13.19
Pd
Z=46
(31.12) N=31
L=1.76573 m
f=169.784 MHz
T=5.889841524802E-9 s
2.71
err=-10.79
Ag
Z=47
(31.10) N=31
L=1.80412 m
f=166.171 MHz
T=6.0178815579499E-9 s
2.71
err=-8.48
Cd
Z=48
(31.08) N=31
L=1.84250 m
f=162.710 MHz
T=6.1459215910978E-9 s
2.71
err=-6.26
In
Z=49
(31.06) N=31
L=1.88089 m
f=159.389 MHz
T=6.2739616242456E-9 s
2.71
err=-4.14
Sn
Z=50
(31.04) N=31
L=1.91927 m
f=156.201 MHz
T=6.4020016573935E-9 s
2.71
err=-2.1
Sb
Z=51
(31.02) N=31
L=1.95766 m
f=153.138 MHz
T=6.5300416905414E-9 s
2.71
err=-0.129
Te
Z=52
(31.00) N=31
L=1.99604 m
f=150.193 MHz
T=6.6580817236892E-9 s
2.71
err=1.76
J
Z=53
(30.98) N=31
L=2.03443 m
f=147.360 MHz
T=6.7861217568371E-9 s
2.71
err=3.57
Xe
Z=54
(30.96) N=31
L=2.07281 m
f=144.631 MHz
T=6.914161789985E-9 s
2.71
err=5.33
Cs
Z=55
(30.95) N=31
L=2.11120 m
f=142.001 MHz
T=7.0422018231328E-9 s
2.71
err=7.02
Ba
Z=56
(30.93) N=31
L=2.14958 m
f=139.465 MHz
T=7.1702418562807E-9 s
2.71
err=8.65
La
Z=57
(30.91) N=31
L=2.18797 m
f=137.019 MHz
T=7.2982818894286E-9 s
2.71
err=10.22
Ce
Z=58
(30.89) N=31
L=2.22636 m
f=134.656 MHz
T=7.4263219225765E-9 s
2.71
err=11.75
Pr
Z=59
(30.87) N=31
L=2.26474 m
f=132.374 MHz
T=7.5543619557243E-9 s
2.71
err=13.22
Nd
Z=60
(30.86) N=31
L=2.30313 m
f=130.168 MHz
T=7.6824019888722E-9 s
2.71
err=14.64
Pm
Z=61
(30.84) N=31
L=2.34151 m
f=128.034 MHz
T=7.8104420220201E-9 s
2.71
err=16.02
Sm
Z=62
(30.83) N=31
L=2.37990 m
f=125.969 MHz
T=7.9384820551679E-9 s
2.71
err=17.35
Eu
Z=63
(30.81) N=31
L=2.41828 m
f=123.969 MHz
T=8.0665220883158E-9 s
2.71
err=18.64
Gd
Z=64
(30.79) N=31
L=2.45667 m
f=122.032 MHz
T=8.1945621214637E-9 s
2.71
err=19.89
Tb
Z=65
(30.78) N=31
L=2.49505 m
f=120.155 MHz
T=8.3226021546115E-9 s
2.71
err=21.11
Dy
Z=66
(30.76) N=31
L=2.53344 m
f=118.334 MHz
T=8.4506421877594E-9 s
2.71
err=22.28
Ho
Z=67
(30.75) N=31
L=2.57182 m
f=116.568 MHz
T=8.5786822209073E-9 s
2.71
err=23.43
Er
Z=68
(30.73) N=31
L=2.61021 m
f=114.854 MHz
T=8.7067222540552E-9 s
2.71
err=24.54
Tm
Z=69
(30.72) N=31
L=2.64860 m
f=113.189 MHz
T=8.834762287203E-9 s
2.71
err=25.61
Yb
Z=70
(30.70) N=31
L=2.68698 m
f=111.572 MHz
T=8.9628023203509E-9 s
2.71
err=26.66
Lu
Z=71
(30.69) N=31
L=2.72537 m
f=110.001 MHz
T=9.0908423534988E-9 s
2.71
err=27.68
Hf
Z=72
(30.68) N=31
L=2.76375 m
f=108.473 MHz
T=9.2188823866466E-9 s
2.71
err=28.67
Ta
Z=73
(30.66) N=31
L=2.80214 m
f=106.987 MHz
T=9.3469224197945E-9 s
2.71
err=29.63
W
Z=74
(30.65) N=31
L=2.84052 m
f=105.541 MHz
T=9.4749624529424E-9 s
2.71
err=30.57
Re
Z=75
(30.64) N=31
L=2.87891 m
f=104.134 MHz
T=9.6030024860902E-9 s
2.71
err=31.49
Os
Z=76
(30.62) N=31
L=2.91729 m
f=102.764 MHz
T=9.7310425192381E-9 s
2.71
err=32.38
Ir
Z=77
(30.61) N=31
L=2.95568 m
f=101.429 MHz
T=9.859082552386E-9 s
2.71
err=33.24
Pt
Z=78
(30.60) N=31
L=2.99406 m
f=100.129 MHz
T=9.9871225855339E-9 s
2.71
err=34.09
Au
Z=79
(30.58) N=31
L=3.03245 m
f=98.861 MHz
T=1.0115162618682E-8 s
2.71
err=34.91
Hg
Z=80
(30.57) N=31
L=3.07083 m
f=97.626 MHz
T=1.024320265183E-8 s
2.71
err=35.71
Tl
Z=81
(30.56) N=31
L=3.10922 m
f=96.420 MHz
T=1.0371242684977E-8 s
2.71
err=36.5
Pb
Z=82
(30.55) N=31
L=3.14761 m
f=95.245 MHz
T=1.0499282718125E-8 s
2.71
err=37.26
Bi
Z=83
(30.53) N=31
L=3.18599 m
f=94.097 MHz
T=1.0627322751273E-8 s
2.71
err=38.01
Po
Z=84
(30.52) N=31
L=3.22438 m
f=92.977 MHz
T=1.0755362784421E-8 s
2.71
err=38.74
At
Z=85
(30.51) N=31
L=3.26276 m
f=91.883 MHz
T=1.0883402817569E-8 s
2.71
err=-64.58
Rn
Z=86
(30.50) N=30
L=1.21442 m
f=246.860 MHz
T=4.050883442413E-9 s
2.71
err=-62.69
Fr
Z=87
(30.49) N=30
L=1.22855 m
f=244.022 MHz
T=4.097986738255E-9 s
2.71
err=-60.84
Ra
Z=88
(30.48) N=30
L=1.24267 m
f=241.249 MHz
T=4.145090034097E-9 s
2.71
err=-59.03
Ac
Z=89
(30.46) N=30
L=1.25679 m
f=238.539 MHz
T=4.192193329939E-9 s
2.71
err=-57.26
Th
Z=90
(30.45) N=30
L=1.27091 m
f=235.888 MHz
T=4.239296625781E-9 s
2.71
err=-55.54
Pa
Z=91
(30.44) N=30
L=1.28503 m
f=233.296 MHz
T=4.286399921623E-9 s
2.71
err=-53.85
U
Z=92
(30.43) N=30
L=1.29915 m
f=230.760 MHz
T=4.333503217465E-9 s
2.71
err=-52.19
Np
Z=93
(30.42) N=30
L=1.31327 m
f=228.279 MHz
T=4.3806065133071E-9 s
2.71
err=-50.57
Pu
Z=94
(30.41) N=30
L=1.32739 m
f=225.850 MHz
T=4.4277098091491E-9 s
2.71
err=-48.99
Am
Z=95
(30.40) N=30
L=1.34152 m
f=223.473 MHz
T=4.4748131049911E-9 s
2.71
err=-47.44
Cm
Z=96
(30.39) N=30
L=1.35564 m
f=221.145 MHz
T=4.5219164008331E-9 s
2.71
err=-45.92
Bk
Z=97
(30.38) N=30
L=1.36976 m
f=218.865 MHz
T=4.5690196966751E-9 s
2.71
err=-44.43
Cf
Z=98
(30.37) N=30
L=1.38388 m
f=216.632 MHz
T=4.6161229925171E-9 s
2.71
err=-42.97
Es
Z=99
(30.36) N=30
L=1.39800 m
f=214.444 MHz
T=4.6632262883591E-9 s
2.71
err=-41.54
Fm
Z=100
(30.35) N=30
L=1.41212 m
f=212.299 MHz
T=4.7103295842011E-9 s
2.71
err=-40.14
Md
Z=101
(30.34) N=30
L=1.42624 m
f=210.197 MHz
T=4.7574328800431E-9 s
2.71
err=-38.76
No
Z=102
(30.33) N=30
L=1.44036 m
f=208.137 MHz
T=4.8045361758852E-9 s
2.71
err=-37.42
Lr
Z=103
(30.32) N=30
L=1.45448 m
f=206.116 MHz
T=4.8516394717272E-9 s
2.71
err=-36.09
Rf
Z=104
(30.31) N=30
L=1.46861 m
f=204.134 MHz
T=4.8987427675692E-9 s
2.71
err=-34.8
Db
Z=105
(30.30) N=30
L=1.48273 m
f=202.190 MHz
T=4.9458460634112E-9 s
2.71
err=-33.53
Sg
Z=106
(30.29) N=30
L=1.49685 m
f=200.282 MHz
T=4.9929493592532E-9 s
2.71
err=-32.28
Bh
Z=107
(30.28) N=30
L=1.51097 m
f=198.411 MHz
T=5.0400526550952E-9 s
2.71
err=-31.05
Hs
Z=108
(30.27) N=30
L=1.52509 m
f=196.573 MHz
T=5.0871559509372E-9 s
2.71
err=-29.85
Mt
Z=109
(30.26) N=30
L=1.53921 m
f=194.770 MHz
T=5.1342592467792E-9 s
2.71
err=-28.67
Ds
Z=110
(30.25) N=30
L=1.55333 m
f=192.999 MHz
T=5.1813625426213E-9 s
2.71
err=-27.51
Rg
Z=111
(30.24) N=30
L=1.56745 m
f=191.261 MHz
T=5.2284658384633E-9 s
2.71
err=-26.37
Cn
Z=112
(30.23) N=30
L=1.58158 m
f=189.553 MHz
T=5.2755691343053E-9 s
2.71
err=-25.26
Uut
Z=113
(30.23) N=30
L=1.59570 m
f=187.876 MHz
T=5.3226724301473E-9 s
2.71
err=-24.16
Fl
Z=114
(30.22) N=30
L=1.60982 m
f=186.228 MHz
T=5.3697757259893E-9 s
2.71
err=-23.08
Uup
Z=115
(30.21) N=30
L=1.62394 m
f=184.608 MHz
T=5.4168790218313E-9 s
2.71
err=-22.02
Lv
Z=116
(30.20) N=30
L=1.63806 m
f=183.017 MHz
T=5.4639823176733E-9 s
2.71
err=-20.97
Uus
Z=117
(30.19) N=30
L=1.65218 m
f=181.452 MHz
T=5.5110856135153E-9 s
2.71
err=-19.95
Uuo
Z=118
(30.18) N=30
L=1.66630 m
f=179.915 MHz
T=5.5581889093573E-9 s
118 Treffer (davon 0 gelbe) bei Basis=2.7182818284590452353602874713527 Cx=1.32140985623E-15, Factor=1, c=299792458, genau=100%, mod=2, Suchwort=150 MHz
0.5%= 1 __ 1%= 2 __ 2%= 1 __ 5%= 5
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