Fine structure constant
In[3]:=
Needs@"PhysicalConstants`"D
In[4]:=
ElectronCharge
Out[4]=
In[6]:=
1.60218 ´ 10-19 Coulomb
Farad = Coulomb ^ 2  Joule
Coulomb2
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Joule
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Permittivity = 8.854187817 ´ 10 ^ H- 12L Farad  Meter
8.85419 ´ 10-12 Coulomb2
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Joule Meter
In[8]:=
Out[8]=
In[9]:=
PlanckConstantReduced
1.05457 ´ 10-34 Joule Second
SpeedOfLight
299 792 458 Meter
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Second
In[11]:=
Out[11]=
In[12]:=
Out[12]=
alpha = ElectronCharge^ 2  H4 Pi Permittivity PlanckConstantReduced SpeedOfLightL
0.00729735
1  alpha
137.036
... and in SI units
In[14]:=
Out[14]=
In[15]:=
SIElectronCharge = UnitConvert@Quantity@1, "ElectronCharge"DD
1.6021766 ´ 10-19 s A
SIPermittivity = UnitConvert@Quantity@1, "Permittivity"DD
625 000
Out[15]=
22 468 879 468 420 441 Π
In[18]:=
Out[18]=
In[17]:=
Out[17]=
In[19]:=
Out[19]=
s4 A2Hkg m3 L
SIPlanckConstantReduced =
UnitConvert@[email protected]`*^-34 , "Joule Second"DD
1.05457 ´ 10-34 kg m2s
SISpeedOfLight = UnitConvert@Quantity@1, "SpeedOfLight"DD
299 792 458 ms
SIalpha =
SIElectronCharge^ 2  H4 Pi SIPermittivity SIPlanckConstantReduced SISpeedOfLightL
0.00729735