Isotope¶

class mrsimulator.spin_system.isotope.Isotope(*, symbol: str)¶

Bases: BaseModel

The Isotope class.

symbol¶

The isotope symbol given as the atomic number followed by the atomic symbol.

Type:: str (required)

Example

>>> # 13C isotope information
>>> carbon = Isotope(symbol='13C')
>>> carbon.spin
0.5
>>> carbon.natural_abundance # in %
1.11
>>> carbon.gyromagnetic_ratio # in MHz/T
10.708398861439887
>>> carbon.atomic_number
6
>>> carbon.quadrupole_moment # in eB
0.0

property atomic_number¶: Atomic number of the isotope.

property gyromagnetic_ratio¶: Reduced gyromagnetic ratio of the nucleus given in units of MHz/T.

json(**kwargs) → dict¶

Generate a JSON representation of the model, include and exclude arguments as per dict().

encoder is an optional function to supply as default to json.dumps(), other arguments as per json.dumps().

larmor_freq(B0=9.4)¶

Return the Larmor frequency of the isotope at a magnetic field strength B0.

Parameters:: B0 (float) – magnetic field strength in T
Returns:: larmor frequency in MHz
Return type:: float

Example

>>> silicon = Isotope(symbol="29Si")
>>> freq = silicon.larmor_freq(B0 = 9.4)

property natural_abundance¶: Natural abundance of the isotope in units of %.

property quadrupole_moment¶: Quadrupole moment of the nucleus given in units of eB (electron-barn).

property spin¶: Spin quantum number, I, of the isotope.