Leroy C., Rancoita P.-G. Principles Of Radiation Interaction In Matter And Detection
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January 9, 2009 10:21 World Scientific Book - 9.75in x 6.5in ws-bo ok975x65˙n˙2nd˙Ed
790 Principles of Radiation Interaction in Matter and Detection
January 9, 2009 10:21 World Scientific Book - 9.75in x 6.5in ws-bo ok975x65˙n˙2nd˙Ed
Conversion Factors 791
January 9, 2009 10:21 World Scientific Book - 9.75in x 6.5in ws-bo ok975x65˙n˙2nd˙Ed
792 Principles of Radiation Interaction in Matter and Detection
January 9, 2009 10:21 World Scientific Book - 9.75in x 6.5in ws-bo ok975x65˙n˙2nd˙Ed
Conversion Factors 793
January 9, 2009 10:21 World Scientific Book - 9.75in x 6.5in ws-bo ok975x65˙n˙2nd˙Ed
794 Principles of Radiation Interaction in Matter and Detection
January 9, 2009 10:21 World Scientific Book - 9.75in x 6.5in ws-bo ok975x65˙n˙2nd˙Ed
Conversion Factors 795
January 9, 2009 10:21 World Scientific Book - 9.75in x 6.5in ws-bo ok975x65˙n˙2nd˙Ed
796 Principles of Radiation Interaction in Matter and Detection
January 9, 2009 10:21 World Scientific Book - 9.75in x 6.5in ws-bo ok975x65˙n˙2nd˙Ed
Conversion Factors 797
January 9, 2009 10:21 World Scientific Book - 9.75in x 6.5in ws-bo ok975x65˙n˙2nd˙Ed
798 Principles of Radiation Interaction in Matter and Detection
A.2 Physical Constants
Most values of physical constants and conversion factors are available on the web
(e.g., see [PDB (2008); Mohr and Taylor (2005)]).
Quantity Symbol Value
speed of light
in vacuum c 299 792 458 m s
−1
Planck constant h = 2π~ 6.6260693 × 10
−34
J s
conversion constant ~ c 197.326968 MeV fm
electron 1.60217653 × 10
−19
C
charge magnitude e 4.803204 × 10
−10
esu
electron mass m
e
0.510998918 MeV/c
2
9.1093826 × 10
−28
g
proton mass m
p
938.272029 MeV/c
2
1.67262171 × 10
−24
g
neutron mass m
n
939.565360 MeV/c
2
1.67492728 × 10
−24
g
deuteron mass m
d
1875.61282 MeV/c
2
3.34358335 × 10
−24
g
unified atomic 931.4940 MeV/c
2
unit mass u 1.66053886 × 10
−24
g
Bohr magneton µ
B
=
e~
2m
e
5.788381804×10
−11
MeV/T
nuclear magneton µ
N
=
e~
2m
p
3.152451259×10
−14
MeV/T
electron −1.0011596521859 µ
B
magnetic moment µ
e
−1.83828197107 × 10
3
µ
N
proton 1.521032206 × 10
−3
µ
B
magnetic moment µ
p
2.792847351 µ
N
neutron −1.04187563 × 10
−3
µ
B
magnetic moment µ
n
−1.91304273 µ
N
Avogadro constant N 6.0221415 × 10
23
mol
−1
continued on next page
January 9, 2009 10:21 World Scientific Book - 9.75in x 6.5in ws-bo ok975x65˙n˙2nd˙Ed
Physical Constants 799
continued from previous page
Quantity Symbol Value
Boltzmann constant
†
1.3806504 × 10
−23
J K
−1
k
B
8.617343 × 10
−5
eV K
−1
permittivity
of free space ε
0
8.854187817 × 10
−12
F m
−1
Si dielectric
constant
∗
ε
Si
11.9
Si electric 1.054 × 10
−10
F m
−1
permittivity
∗
ε = ε
Si
ε
0
1.054 pF cm
−1
permeability 4π × 10
−7
N A
−2
of free space µ
0
12.566370614 × 10
−7
N A
−2
fine-structure α = e
2
/(4π²
0
~c) 1/137.03599911
constant α
= e
2
/(~c), e in esu
classical r
e
= e
2
/(4π²
0
m
e
c
2
) 2.817940325 fm
electron radius r
e
=
e
2
(m
e
c
2
)
, e in esu
Compton
wavelength
of the electron λ
e
≡
h
m
e
c
2.426310238 × 10
−10
cm
Bohr radius a
0
of the = (4 π²
0
~
2
)/(m
e
c
2
) 0.5291772108 × 10
−8
cm
Hydrogen atom a
0
= r
e
/α
2
= ~
2
/(m
e
e
2
)
Bohr velocity v
0
= c α c/137.03599911
v
0
= e
2
/~, e in esu
continued on next page
†
The symbol used in this book is k
B
to avoid confusion with other symbols, while that universally
adopted is k.
∗
At room temperature.