An NMR spectrum is recorded from a sample containing two water locations. The frequency encoding gradient is 1 G/cm along the y-axis. The spectrum contains frequencies of +1000 Hz and -500 Hz relative to the isocenter frequency. What are the locations of the water?

Δν = γ y G
where:
Δν = frequency offset from isocenter
γ = gyromagnetic ratio, 42.58 MHz/T
G = frequency encoding gradient = 0.0001 T/cm
y = position relative to isocenter

y = Δν / (γ G)

y = 0.235 cm

y = - 0.117 cm