physical constants
The base system for units is SI. (That's the standard, dear physicist.)
!--------------------------------------------------!
$physical-constants
required !
electron-charge
double
required ! [C] (elementary
charge)
electron-mass
double
required ! [kg]
electron-compton-wavelength
double
required ! [m]
planck-constant
double required ! [Js]
speed-of-light
double required ! [m/s]
boltzmann-constant
double required ! [J/K]
vacuum-permeability
double required ! [As/Vm]
fine-structure-constant
double required !
[-]
classical-electron-radius
double required ! [m]
avogadro-number
double required
! [1/mol]
bohr-magneton
double required ! [J/T]
(T=Tesla)
electron-spin-g-factor
double required !
[-]
proton-mass
double required ! [kg]
neutron-mass
double required ! [kg]
$end_physical-constants
required !
!--------------------------------------------------!
Syntax
electron-charge
= -1.60217653D-19 ! [C]
! -1.60217653(14)D-19
electron-mass
= 9.1093826D-31 ! [kg]
! 9.1093826(16)D-31
electron-compton-wavelength = 2.426310238D-12 !
[m] ! 2.426310238(16)D-12
planck-constant
= 6.6260693D-34 ! [Js]
! 6.6260693(11)D-34
speed-of-light
= 2.99792458D+08
! [m/s] !
(exact)
boltzmann-constant
= 1.3806505D-23 ! [J/K]
! 1.3806505(24)D-23
vacuum-permeability
= 8.854187817D-12
! [As/Vm]
fine-structure-constant =
7.297352568D-03 ! [-]
! 7.297352568(24)D-03
classical-electron-radius = 2.817940325D-15
! [m] !
2.817940325(28)D-15
avogadro-number
= 6.0221415D+23 !
[1/mol]
! 6.0221415(10)D+23
bohr-magneton
= -9.27400949D-24 !
[J/T] (T=Tesla)
! -9.27400949(80)D-24
electron-spin-g-factor =
2.0023193043718D+00 ! [-]
! 2.0023193043718(75)D+00
proton-mass
= 1.67262171D-27 ! [kg]
! 1.67262171(29)D-27
neutron-mass
= 1.67492728D-27 ! [kg]
! 1.67492728(29)D-27
Source:
http://physics.nist.gov/cuu
(2004-11-19)
Further constants
reduced_planck_constant is
calculated internally inside the program: planck-constant/(2pi)
reduced_planck_constant =
1.05457168D-34 ! [Js]
1.054571682D-34 ! (calculated by nextnano³ from other constants)
bohr_radius is
calculated internally inside the program:
4 * pi * vacuum_permeability * reduced_planck_constant^2 /
(electron_mass * electron_charge^2)
bohr_radius
= 5.291772108D-11 ! [m]
! 5.291772108(18)D-11
5.291772081D-11 ! (calculated by nextnano³ from other constants)hydrogen_ionization_energy_J is
calculated internally inside the program:
electron_mass * electron_charge^4 / (32 * pi^2 *
reduced_planck_constant^2 * vacuum_permeability^2)
hydrogen_ionization_energy_J
= 2.17987209D-18 ! [J]
! 2.17987209(37)D-18
2.179872088D-18 ! (calculated by nextnano³ from other constants)hydrogen_ionization_energy_eV is
calculated internally inside the program:
hydrogen_ionization_energy_J
/
electron-charge
NIST: 13.6056923(12) eV
nextnano³:
13.60569231 eV
hydrogen_ionization_energy_eV = 13.6056923(12)
! [eV] corresponds to hydrogen_ionization_energy_J
13.60569231 !
(calculated by nextnano³ from other constants)Hartree_eV is
calculated internally inside the program:
2 * hydrogen_ionization_energy_eV
NIST: 27.2113845(23) eV
nextnano³: 27.21138461 eV- From the Boltzmann constant kB, one obtains kBT at
room temperature (T = 300 K) in units of [eV]:
kBT = 0.02585202955132541 eV
Derived constants
[h_bar^2/(2*m0)]
h2b2m_Jm2 =
reduced_planck_constant^2 / (2*electron_mass) =
=
6.10426...d-39 [J m^2]h2b2m_evAA2 = h2b2m_Jm2 /
ABS(electron_charge) * (1d10)^2 =
= 3.80998...
[eV AA^2] ! AA = Angstrom
Physical constants are stored in MODULE
mod_physical_constants.
!*********************************************!
MODULE
mod_physical_constants !
!*********************************************!
!---------------------------------------------! SI-units (That's
the standard, dear physicist.)
REAL(8) :: electron_charge
! [C]
REAL(8) :: electron_mass
! [kg]
REAL(8) :: electron_compton_wavelength ! [m]
REAL(8) :: planck_constant ! [Js]
REAL(8) :: speed_of_light ! [m/s]
REAL(8) :: boltzmann_constant ! [J/K]
REAL(8) :: vacuum_permeability ! [As/Vm]
REAL(8) :: fine_structure_constant
! [-]
REAL(8) :: classical_electron_radius ! [m]
REAL(8) :: avogadro_number !
[-]
REAL(8) :: bohr_magneton ! [J/T]
(T=Tesla)
REAL(8) :: electron_spin_g_factor !
[-]
REAL(8) :: proton_mass ! [kg]
REAL(8) :: neutron_mass ! [kg]
REAL(8) :: reduced_planck_constant
! [Js]
REAL(8) :: bohr_radius ! [m]
REAL(8) :: hydrogen_ionization_energy_J ! [J]
REAL(8) :: hydrogen_ionization_energy_eV ! [eV]
REAL(8) :: Hartree_eV
! [eV]
!---------------------------------------------!
!*********************************************!
END MODULE
mod_physical_constants
!
!*********************************************!
Mathematical constants are stored in MODULE
math_constants.
Here, the variable pi is defined:
REAL(8),PARAMETER :: pi = 3.1415926535897932385d0
Conversion factors
µm <=> eV: h * c / e * 106 =
1.239841906
Example: 1.23984 / 8.4 µm
= 0.1476 eV
1.23984
/ 0.1476 eV = 8.4 µmµm <=> THz: c * 10-6 =
299.792458
Example: 299.79 /
8.4 µm
= 35.69 THz
299.79
/ 35.69 THz = 8.4 µm1018 cm-3 <=> M:
602.21415
Example: 30.11
/
602.2 = 0.050 M
0.050 M * 602.2 =
30.11
1018 cm-3 <=> mM:
0.60221415
Example: 30.11 /
0.6022 = 50 mM
50 mM * 0.6022 =
30.11 | 
