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Neue Gravitation „Konstante” für ein und den gleichen Element |
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Dimension |
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G(z) = |
4 * re4 (Z + 1)2 * I0 * ( NA/Mm(z))2 |
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[N m2 / kg2] |
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G = |
6,6743E-11 |
Alte Gravitation Konstante |
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Für andere - Darstellung |
1/ (u A) =NA/Mm(z) |
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4 re4 = |
2,52224E-58 |
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NA = |
6,0220E+23 |
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I0 = |
4,5800E-06 |
[J/m3] |
Für die Entfernung von Erde zur Sonne. |
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Z + 1 |
"Z" Ordnungszahl aus der Tabelle der Elemente |
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Mm(z) |
Masse eines Molls in kg, gleich (A * u) (wo u = 1,66.. E-27 [kg] und A – durchschnittliche Atommasse für ein Element) |
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Element-Symbol |
Neue Gravitation Konstante für ein Element auf Erde |
Ordnungs-Zahl Z |
Atommasse A |
Mollmasse Mm(z) |
G(z)/G |
Element-Symbol |
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H |
1,6495E-09 |
1 |
1,00790 |
0,0010079 |
24,7146 |
H |
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He |
2,3534E-10 |
2 |
4,00260 |
0,0040026 |
3,5260 |
He |
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Li |
1,3921E-10 |
3 |
6,93900 |
0,0069390 |
2,0857 |
Li |
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Be |
1,2895E-10 |
4 |
9,01218 |
0,0090122 |
1,9320 |
Be |
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B |
1,2903E-10 |
5 |
10,81100 |
0,0108110 |
1,9333 |
B |
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C |
1,4229E-10 |
6 |
12,01100 |
0,0120110 |
2,1319 |
C |
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N |
1,3666E-10 |
7 |
14,00670 |
0,0140067 |
2,0476 |
N |
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O |
1,3256E-10 |
8 |
15,99940 |
0,0159994 |
1,9861 |
O |
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F |
1,1606E-10 |
9 |
18,99840 |
0,0189984 |
1,7390 |
F |
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Ne |
1,2449E-10 |
10 |
20,17900 |
0,0201790 |
1,8652 |
Ne |
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Na |
1,1414E-10 |
11 |
22,98980 |
0,0229898 |
1,7101 |
Na |
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Mg |
1,1985E-10 |
12 |
24,30500 |
0,0243050 |
1,7957 |
Mg |
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Al |
1,1279E-10 |
13 |
26,98150 |
0,0269815 |
1,6899 |
Al |
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Si |
1,1950E-10 |
14 |
28,08550 |
0,0280855 |
1,7904 |
Si |
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P |
1,1179E-10 |
15 |
30,97380 |
0,0309738 |
1,6749 |
P |
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S |
1,1774E-10 |
16 |
32,06600 |
0,0320660 |
1,7642 |
S |
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Cl |
1,0799E-10 |
17 |
35,45300 |
0,0354530 |
1,6180 |
Cl |
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Ar |
9,4766E-11 |
18 |
39,94800 |
0,0399480 |
1,4199 |
Ar |
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K |
1,0962E-10 |
19 |
39,09830 |
0,0390983 |
1,6424 |
K |
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Ca |
1,1502E-10 |
20 |
40,07800 |
0,0400780 |
1,7233 |
Ca |
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Sc |
1,0032E-10 |
21 |
44,95590 |
0,0449559 |
1,5031 |
Sc |
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Ti |
9,6587E-11 |
22 |
47,90000 |
0,0479000 |
1,4471 |
Ti |
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V |
9,2985E-11 |
23 |
50,94150 |
0,0509415 |
1,3932 |
V |
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Cr |
9,6844E-11 |
24 |
51,99610 |
0,0519961 |
1,4510 |
Cr |
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Mn |
9,3828E-11 |
25 |
54,93800 |
0,0549380 |
1,4058 |
Mn |
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Fe |
9,7918E-11 |
26 |
55,84700 |
0,0558470 |
1,4671 |
Fe |
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Co |
9,4565E-11 |
27 |
58,93320 |
0,0589332 |
1,4169 |
Co |
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Ni |
1,0221E-10 |
28 |
58,71000 |
0,0587100 |
1,5314 |
Ni |
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Cu |
9,3368E-11 |
29 |
63,54600 |
0,0635460 |
1,3989 |
Cu |
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Zn |
9,4153E-11 |
30 |
65,39000 |
0,0653900 |
1,4107 |
Zn |
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Ga |
8,8243E-11 |
31 |
69,72300 |
0,0697230 |
1,3221 |
Ga |
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Ge |
8,6578E-11 |
32 |
72,59000 |
0,0725900 |
1,2972 |
Ge |
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As |
8,6273E-11 |
33 |
74,92160 |
0,0749216 |
1,2926 |
As |
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Se |
8,2310E-11 |
34 |
78,96000 |
0,0789600 |
1,2332 |
Se |
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Br |
8,5036E-11 |
35 |
79,90400 |
0,0799040 |
1,2741 |
Br |
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Kr |
8,1667E-11 |
36 |
83,80000 |
0,0838000 |
1,2236 |
Kr |
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Rb |
8,2812E-11 |
37 |
85,46780 |
0,0854678 |
1,2408 |
Rb |
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Sr |
8,2996E-11 |
38 |
87,62000 |
0,0876200 |
1,2435 |
Sr |
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Y |
8,4799E-11 |
39 |
88,90580 |
0,0889058 |
1,2705 |
Y |
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Zr |
8,4622E-11 |
40 |
91,22400 |
0,0912240 |
1,2679 |
Zr |
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Nb |
8,9422E-11 |
41 |
90,90640 |
0,0909064 |
1,3398 |
Nb |
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Mo |
8,4153E-11 |
42 |
95,94000 |
0,0959400 |
1,2609 |
Mo |
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Tc |
8,2907E-11 |
43 |
98,90620 |
0,0989062 |
1,2422 |
Tc |
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Ru |
8,3045E-11 |
44 |
101,07000 |
0,1010700 |
1,2443 |
Ru |
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Rh |
8,3709E-11 |
45 |
102,90550 |
0,1029055 |
1,2542 |
Rh |
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Pd |
8,1742E-11 |
46 |
106,40000 |
0,1064000 |
1,2247 |
Pd |
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Ag |
8,2953E-11 |
47 |
107,86800 |
0,1078680 |
1,2429 |
Ag |
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Cd |
7,9600E-11 |
48 |
112,41000 |
0,1124100 |
1,1926 |
Cd |
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In |
7,9440E-11 |
49 |
114,82000 |
0,1148200 |
1,1902 |
In |
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Sn |
7,7321E-11 |
50 |
118,71000 |
0,1187100 |
1,1585 |
Sn |
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Sb |
7,6419E-11 |
51 |
121,75000 |
0,1217500 |
1,1450 |
Sb |
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Te |
7,2274E-11 |
52 |
127,60000 |
0,1276000 |
1,0829 |
Te |
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J |
7,5852E-11 |
53 |
126,90450 |
0,1269045 |
1,1365 |
J |
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Xe |
7,3507E-11 |
54 |
131,30000 |
0,1313000 |
1,1013 |
Xe |
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Cs |
7,4375E-11 |
55 |
132,90540 |
0,1329054 |
1,1143 |
Cs |
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Ba |
7,2169E-11 |
56 |
137,33000 |
0,1373300 |
1,0813 |
Ba |
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La |
7,3038E-11 |
57 |
138,90550 |
0,1389055 |
1,0943 |
La |
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Ce |
7,4274E-11 |
58 |
140,12000 |
0,1401200 |
1,1128 |
Ce |
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Pr |
7,5957E-11 |
59 |
140,90770 |
0,1409077 |
1,1381 |
Pr |
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Nd |
7,4966E-11 |
60 |
144,20000 |
0,1442000 |
1,1232 |
Nd |
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Pm |
7,6592E-11 |
61 |
145,00000 |
0,1450000 |
1,1476 |
Pm |
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Sm |
7,3505E-11 |
62 |
150,40000 |
0,1504000 |
1,1013 |
Sm |
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Eu |
7,4269E-11 |
63 |
152,00000 |
0,1520000 |
1,1128 |
Eu |
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Gd |
7,1532E-11 |
64 |
157,30000 |
0,1573000 |
1,0718 |
Gd |
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Tb |
7,2273E-11 |
65 |
158,90000 |
0,1589000 |
1,0829 |
Tb |
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Dy |
7,1216E-11 |
66 |
162,50000 |
0,1625000 |
1,0670 |
Dy |
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Ho |
7,1238E-11 |
67 |
164,90000 |
0,1649000 |
1,0673 |
Ho |
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Er |
7,1259E-11 |
68 |
167,30000 |
0,1673000 |
1,0677 |
Er |
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Tm |
7,1957E-11 |
69 |
168,90000 |
0,1689000 |
1,0781 |
Tm |
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Yb |
7,0560E-11 |
70 |
173,00000 |
0,1730000 |
1,0572 |
Yb |
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Lu |
7,0912E-11 |
71 |
175,00000 |
0,1750000 |
1,0625 |
Lu |
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Hf |
7,0073E-11 |
72 |
178,49000 |
0,1784900 |
1,0499 |
Hf |
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Ta |
7,0063E-11 |
73 |
180,94790 |
0,1809479 |
1,0497 |
Ta |
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W |
6,9715E-11 |
74 |
183,85000 |
0,1838500 |
1,0445 |
W |
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Re |
6,9786E-11 |
75 |
186,20700 |
0,1862070 |
1,0456 |
Re |
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Os |
6,8658E-11 |
76 |
190,20000 |
0,1902000 |
1,0287 |
Os |
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Ir |
6,8980E-11 |
77 |
192,22000 |
0,1922200 |
1,0335 |
Ir |
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Pt |
6,8694E-11 |
78 |
195,09000 |
0,1950900 |
1,0292 |
Pt |
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Au |
6,9108E-11 |
79 |
196,96650 |
0,1969665 |
1,0354 |
Au |
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Hg |
6,8310E-11 |
80 |
200,59000 |
0,2005900 |
1,0235 |
Hg |
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Tl |
6,7441E-11 |
81 |
204,37000 |
0,2043700 |
1,0105 |
Tl |
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Pb |
6,7222E-11 |
82 |
207,20000 |
0,2072000 |
1,0072 |
Pb |
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Bi |
6,7683E-11 |
83 |
208,98040 |
0,2089804 |
1,0141 |
Bi |
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Po |
6,9291E-11 |
84 |
209,00000 |
0,2090000 |
1,0382 |
Po |
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At |
7,0257E-11 |
85 |
210,00000 |
0,2100000 |
1,0527 |
At |
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Rn |
6,4338E-11 |
86 |
222,00000 |
0,2220000 |
0,9640 |
Rn |
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Fr |
6,5236E-11 |
87 |
223,00000 |
0,2230000 |
0,9774 |
Fr |
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Ra |
6,4953E-11 |
88 |
226,02540 |
0,2260254 |
0,9732 |
Ra |
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Ac |
6,5836E-11 |
89 |
227,02780 |
0,2270278 |
0,9864 |
Ac |
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Th |
6,4431E-11 |
90 |
232,03810 |
0,2320381 |
0,9654 |
Th |
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Pa |
6,6428E-11 |
91 |
231,03590 |
0,2310359 |
0,9953 |
Pa |
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U |
6,3950E-11 |
92 |
238,02900 |
0,2380290 |
0,9582 |
U |
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Np |
6,5874E-11 |
93 |
237,04800 |
0,2370480 |
0,9870 |
Np |
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Pu |
6,3504E-11 |
94 |
244,00000 |
0,2440000 |
0,9515 |
Pu |
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Am |
6,5350E-11 |
95 |
243,06100 |
0,2430610 |
0,9791 |
Am |
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Cm |
6,4607E-11 |
96 |
247,00000 |
0,2470000 |
0,9680 |
Cm |
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Bk |
6,5909E-11 |
97 |
247,07000 |
0,2470700 |
0,9875 |
Bk |
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Cf |
6,5171E-11 |
98 |
251,00000 |
0,2510000 |
0,9765 |
Cf |
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Es |
6,4888E-11 |
99 |
254,08800 |
0,2540880 |
0,9722 |
Es |
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Fm |
6,4701E-11 |
100 |
257,00000 |
0,2570000 |
0,9694 |
Fm |
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Md |
6,5478E-11 |
101 |
258,00000 |
0,2580000 |
0,9810 |
Md |
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No |
6,6253E-11 |
102 |
259,00000 |
0,2590000 |
0,9927 |
No |
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Lr |
6,7028E-11 |
103 |
260,00000 |
0,2600000 |
1,0043 |
Lr |
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Ku |
6,7800E-11 |
104 |
261,00000 |
0,2610000 |
1,0158 |
Ku |
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Ha |
6,8571E-11 |
105 |
262,00000 |
0,2620000 |
1,0274 |
Ha |
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Elementare Schwerkraft in [N] als eine Funktion von Massen für zwei Körper, |
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die aus dem gleichen Element bestehen. |
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F = |
(4 re4 (Z + 1)2 I0
((1/
(u A) )2 ) m1 m2 |
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R2 |
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m1 - |
Masse des ersten Körpers in [kg] |
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m2 - |
Masse des zweiten Körpers in [kg] |
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R - |
Entfernung von den beiden Körpern in [m] |
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A – durchschnittliche
Atommasse für ein Element
u -
Atomare Masseneinheit