Learning A ¹H NMR signal is observed at 199.0 Hz (downfield of TMS) on a 1.40 x 10²-MHz instrument. a) What is the observed chemical shift in parts per million (ppm)? b) What is the chemical shift, in parts per million (ppm), if the sample is analyzed with a 300.0-MHz instrument? c) Where will the proton signal appear, in hertz, if the sample is analyzed with a 300.0-MHz instrument? Chemical shift is Chemical shift is The downfield signal is ppm ppm Hz

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Chapter1: Chemical Foundations
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**NMR Signal Analysis**

A \( ^1 \text{H} \) NMR signal is observed at 199.0 Hz (downfield of TMS) on a 1.40 x \( 10^2 \)-MHz instrument.

a) **What is the observed chemical shift in parts per million (ppm)?**

   Chemical shift is: \(\_\_\_\_\_\_\) ppm

b) **What is the chemical shift, in parts per million (ppm), if the sample is analyzed with a 300.0-MHz instrument?**

   Chemical shift is: \(\_\_\_\_\_\_\) ppm

c) **Where will the proton signal appear, in hertz, if the sample is analyzed with a 300.0-MHz instrument?**

   The downfield signal is: \(\_\_\_\_\_\_\) Hz

**Explanation:**

- **Chemical Shift Calculation:** Chemical shift in ppm can be calculated using the formula:
  \[
  \text{Chemical Shift (ppm)} = \frac{\text{Observed Frequency (Hz)}}{\text{Spectrometer Frequency (MHz)}}
  \]
  
- **Instrument Calibration Differences:** 
  - Part b examines the chemical shift using a different instrument frequency (300.0 MHz).
  - Part c translates this chemical shift back into Hz for this new instrument frequency, showing how the position of the signal shifts on different instruments.
Transcribed Image Text:**NMR Signal Analysis** A \( ^1 \text{H} \) NMR signal is observed at 199.0 Hz (downfield of TMS) on a 1.40 x \( 10^2 \)-MHz instrument. a) **What is the observed chemical shift in parts per million (ppm)?** Chemical shift is: \(\_\_\_\_\_\_\) ppm b) **What is the chemical shift, in parts per million (ppm), if the sample is analyzed with a 300.0-MHz instrument?** Chemical shift is: \(\_\_\_\_\_\_\) ppm c) **Where will the proton signal appear, in hertz, if the sample is analyzed with a 300.0-MHz instrument?** The downfield signal is: \(\_\_\_\_\_\_\) Hz **Explanation:** - **Chemical Shift Calculation:** Chemical shift in ppm can be calculated using the formula: \[ \text{Chemical Shift (ppm)} = \frac{\text{Observed Frequency (Hz)}}{\text{Spectrometer Frequency (MHz)}} \] - **Instrument Calibration Differences:** - Part b examines the chemical shift using a different instrument frequency (300.0 MHz). - Part c translates this chemical shift back into Hz for this new instrument frequency, showing how the position of the signal shifts on different instruments.
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