In a 1H NMR spectrum the peak from TMS is found to occur at 500.134 271 MHz.

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In a 1H NMR spectrum the peak from TMS is found to occur at 500.134 271 MHz. Two other peaks in the spectrum are found at 500.135 021 and 500.137 921 MHz; compute the chemical shifts of these two peaks in ppm.
Given that the receiver reference frequency is 500.135 271 MHz, recompute the chemical shifts of the two peaks using Eq. 2.3 on page 8; comment on your answers.
What would the frequency separation, in Hz and in rad s-1, be between these two peaks if the spectrum were recorded using a different spectrometer which operates at 400 MHz for protons? The receiver reference frequency for this spectrometer is 400.130 000 MHz.
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