High School

Given that UserA resonance is displaced 124 Hz from TMS at a magnetic field strength of 4.69 T, what will be the frequency difference at 7.05 T?

A. 186 Hz
B. 186 Hz downfield
C. 186 Hz upfield
D. 248 Hz

Answer :

Final answer:

To determine the frequency difference at 7.05 T magnetic field, we calculate the ratio based on the known frequency difference at 4.69 T. The calculated frequency difference at 7.05 T is 186 Hz.

Explanation:

the calculation of the frequency difference of a nuclear magnetic resonance (NMR) peak relative to tetramethylsilane (TMS) at two different magnetic field strengths. To find the new frequency difference at a higher magnetic field, we use the fact that the chemical shift in ppm is constant and frequency shifts are proportional to the strength of the magnetic field. Since UserA's resonance frequency is 124 Hz away from TMS at a 4.69 T field, we can calculate the frequency at a 7.05 T field by setting up a proportion:

(Frequency difference at 4.69 T) / (Frequency difference at 7.05 T) = (Field Strength at 4.69 T) / (Field Strength at 7.05 T)
124 Hz / x Hz = 4.69 T / 7.05 T

Solving for x gives us:

x = (124 Hz * 7.05 T) / 4.69 T = 186 Hz

Therefore, at a magnetic field strength of 7.05 T, the frequency difference from TMS would be 186 Hz.