Difference between revisions of "Levelpop.m"
| Line 1: | Line 1: | ||
| − | Equilibrium populations of the energy levels of a user-specified spin at | + | {{DISPLAYTITLE:levelpop.m}} __NOTOC__ |
| − | the user-specified temperature. Energies are reported as fractions of kT | + | Equilibrium populations of the energy levels of a user-specified spin at the user-specified temperature. Energies are reported as fractions of kT at the temperature specified. |
| − | at the temperature | ||
| − | |||
| − | |||
| − | + | ==Syntax== | |
| − | + | [E,P,dP]=levelpop(isotope,field,temperature) | |
| + | |||
| + | ==Arguments== | ||
isotope - character string specifying the isotope. | isotope - character string specifying the isotope. | ||
e.g. '1H', '13C', 'E', etc. | e.g. '1H', '13C', 'E', etc. | ||
| + | |||
| + | field - primary magnet field in Tesla | ||
| + | |||
| + | temperature - spin temperature, Kelvin | ||
| − | + | ==Outputs== | |
| + | |||
| + | E - vector of level energies, frac- | ||
| + | tions of kT at the temperature | ||
| + | specified | ||
| + | |||
| + | P - vector of level populations | ||
| + | |||
| + | dP - vector of population differences | ||
| + | for adjacent levels | ||
| + | |||
| + | ==Examples== | ||
| + | Free electron energy level populations at 4.0 Kelvin: | ||
| − | + | >> [~,P]=levelpop('E',14.1,4.0) | |
| + | |||
| + | P = | ||
| + | |||
| + | (1,1) 0.0087 | ||
| + | (2,1) 0.9913 | ||
| − | + | ==Notes== | |
| + | The function is sensitive to the sign of the magnetogyric ratio - negative for electrons, positive for protons, ''etc.'' | ||
| − | + | ==See also== | |
| + | [[spin.m]], [[equilibrium.m]], [[pauli.m]], [[carrier.m]], [[hamiltonian.m]] | ||
| − | |||
| − | + | ''Version 2.4, authors: [[Ilya Kuprov]]'' | |
Revision as of 11:05, 9 July 2019
Equilibrium populations of the energy levels of a user-specified spin at the user-specified temperature. Energies are reported as fractions of kT at the temperature specified.
Syntax
[E,P,dP]=levelpop(isotope,field,temperature)
Arguments
isotope - character string specifying the isotope.
e.g. '1H', '13C', 'E', etc.
field - primary magnet field in Tesla
temperature - spin temperature, Kelvin
Outputs
E - vector of level energies, frac-
tions of kT at the temperature
specified
P - vector of level populations
dP - vector of population differences
for adjacent levels
Examples
Free electron energy level populations at 4.0 Kelvin:
>> [~,P]=levelpop('E',14.1,4.0)
P =
(1,1) 0.0087
(2,1) 0.9913
Notes
The function is sensitive to the sign of the magnetogyric ratio - negative for electrons, positive for protons, etc.
See also
spin.m, equilibrium.m, pauli.m, carrier.m, hamiltonian.m
Version 2.4, authors: Ilya Kuprov