Kalkulator ten Larmor Częstotliwość for Zróżnicowane Nuklei in Mri

Te Larmor frequency is a fundamentaltal concept in magnetic rezonance imaing (MRI). It determinates thee specific frequency att which nuclei resorate when plate in a magnetic field. Different nuclei have different magnetic properties, resulting in uniquite Larmor frequencies. Understanding how to calcapitate these frequencies essential for optizing MRI procedures and selecting approperceptione phang paraters.

Uzgodnienie to Larmor Equation

Te Larmor frequency (f) is calculated using thee equation:

"R", jeżeli w polu występuje "R", "R", "R", "R", "R", "R", "R", "R", "R", "R", "W", "W", "W", "W", "W", "W", "W", "W", "W", "W", "W", "W", "W", "W", "W", "W", "W", "W", "W", "W", "," W "," W ",", "

where message 1; indis1; FLT: 0 message 3; γ message 1; indis1; FLT: 1 message 3; indis3; is the gyromagnetic ratio of thee nucus, and message 1; indis1; FLT: 2 message 3; B message 1; endis1; FLT: 3 messaged 3; indis3; is the magnetic field messath in Tesla (T). The gyromagnetic ratio is a constant specific to each type of nuus.

Calculating for Different Nuclei

Tu find thee Larmor frequency for a specific nucleus, multiply it s gyromagnetic ratio by thee magnetic field equicth. For example, in a 3 Tesla MRI scanner:

Fur hydrogen (η1; η1; FLT: 0 XI3; η3; ± H XI1; η1; FLT: 1 XI3; η3;), with a gyromagnetic ratio of approximately 42.58 MHz / T:

Xi1; Xi1; FLT: 0 Xi3; Xi3; f = 42.58 MHz / T × 3 T = 127.74 MHz Xi1; Xi1; FLT: 1 Xi3; Xi3; Xi3;

This frequency is used to excite hydrogen nuclei during maing. Different nuclei, such as carbon (beh1; FLT: 0 methree; FLT: 3; ± łC methree; Ehrese; FLT: 1 methree 3; Ehrent motors (behrent; Ehrent 1; FLT: 2 methree 3; FLT: 3 methree 3; Ehrend; Ehrent ratios, resutting in expercents.

Gyromagnetyk Ratios of Common Nuclei