hyperfine.bnmr.lineshape.QuadrupoleSplitting8Li

class hyperfine.bnmr.lineshape.QuadrupoleSplitting8Li[source]

Class for calculating the quadrupole splitting of lithium-8.

Methods

`V`(eta, theta, phi)	Electric field gradient (EFG) tensor.
`V_pas`(eta, theta, phi)	Electric field gradient (EFG) tensor in its principle axis system (PAS).
`V_xx`(eta, theta, phi)
`V_xy`(eta, theta, phi)
`V_xz`(eta, theta, phi)
`V_yx`(eta, theta, phi)
`V_yy`(eta, theta, phi)
`V_yz`(eta, theta, phi)
`V_zx`(eta, theta, phi)
`V_zy`(eta, theta, phi)
`V_zz`(eta, theta, phi)
`__init__`()
`get_dq_lineshape`(frequency, efg, eta, nu_0, ...)	2-quantum lineshape.
`get_energy_levels`(nu_0, efg, eta, theta, phi)	Energy levels of the Zeeman + quadrupole Hamiltonians.
`get_lineshape`(frequency, efg, eta, nu_0, ...)	Typical quadrupole-split lithium-8 lineshape: (1-quantum + 2-quantum transitions & a 'background' at the Larmor frequency.
`get_n_quantum_transitions`(eigenvalues[, n])	Calculate the positions of the n-quantum transitions for a set of eigenvalues.
`get_qq_lineshape`(frequency, efg, eta, nu_0, ...)	4-quantum lineshape.
`get_sq_lineshape`(frequency, efg, eta, nu_0, ...)	1-quantum lineshape.
`get_tq_lineshape`(frequency, efg, eta, nu_0, ...)	3-quantum lineshape.
`lorentzian`(x, position, fwhm, amplitude)	Lorentzian lineshape.
`quadrupole_coupling`(efg)	Quadrupole coupling constant (in Hz).
`quadrupole_frequency`(efg)	Quadrupole frequency (in Hz).

Attributes

V(eta: float, theta: float, phi: float) → array: Electric field gradient (EFG) tensor.

V_pas(eta: float, theta: float, phi: float) → array: Electric field gradient (EFG) tensor in its principle axis system (PAS).

get_dq_lineshape(frequency: float, efg: float, eta: float, nu_0: float, theta: float, phi: float, dq_fwhm: float, dq_amplitude_1: float, dq_amplitude_2: float, dq_amplitude_3: float) → float[source]: 2-quantum lineshape.

get_energy_levels(nu_0: float, efg: float, eta: float, theta: float, phi: float) → array: Energy levels of the Zeeman + quadrupole Hamiltonians.

get_lineshape(frequency: float, efg: float, eta: float, nu_0: float, theta: float, phi: float, sq_fwhm: float, sq_amplitude_1: float, sq_amplitude_2: float, sq_amplitude_3: float, sq_amplitude_4: float, dq_fwhm: float, dq_amplitude_1: float, dq_amplitude_2: float, dq_amplitude_3: float, bg_fwhm: float, bg_amplitude: float, baseline: float, slope: float) → float[source]: Typical quadrupole-split lithium-8 lineshape: (1-quantum + 2-quantum transitions & a ‘background’ at the Larmor frequency.

get_n_quantum_transitions(eigenvalues: array, n: int = 1) → array: Calculate the positions of the n-quantum transitions for a set of eigenvalues.

get_qq_lineshape(frequency: float, efg: float, eta: float, nu_0: float, theta: float, phi: float, qq_fwhm: float, qq_amplitude_1: float) → float[source]: 4-quantum lineshape.

get_sq_lineshape(frequency: float, efg: float, eta: float, nu_0: float, theta: float, phi: float, sq_fwhm: float, sq_amplitude_1: float, sq_amplitude_2: float, sq_amplitude_3: float, sq_amplitude_4: float) → float[source]: 1-quantum lineshape.

get_tq_lineshape(frequency: float, efg: float, eta: float, nu_0: float, theta: float, phi: float, tq_fwhm: float, tq_amplitude_1: float, tq_amplitude_2: float) → float[source]: 3-quantum lineshape.

lorentzian(x: float, position: float, fwhm: float, amplitude: float) → float: Lorentzian lineshape.

quadrupole_coupling(efg: float) → float: Quadrupole coupling constant (in Hz).