Clinical MRI scanners typically operate at magnetic field strength of 3T. What is the Larmor frequency of 1H at 3T? (Gyromagnetic Ratio of 1H is 267.513×106rad⋅s−1⋅T−1)

802.54×106Hz
401.27×106Hz
127.74×106Hz
63.87×106Hz

To find the Larmor frequency of 1H at 3T, we can use the formula:

Larmor frequency = Gyromagnetic ratio * Magnetic field strength.

Given that the gyromagnetic ratio of 1H is 267.513×10^6 rad⋅s^−1⋅T^−1 and the magnetic field strength is 3T, we can plug these values into the formula:

Larmor frequency = 267.513×10^6 rad⋅s^−1⋅T^−1 * 3T.

Calculating this:

Larmor frequency = 802.539×10^6 rad/s.

However, the unit we are asked for is Hz, so we need to convert rad/s to Hz by dividing by 2π. Thus:

Larmor frequency in Hz = 802.539×10^6 rad/s / (2π).

Calculating this:

Larmor frequency in Hz ≈ 127.737×10^6 Hz.

Therefore, the Larmor frequency of 1H at 3T is approximately 127.74×10^6 Hz.