When we talk about an 1D-NMR spectrum (2-dimensional graph), what does the abcissa axis show?

Answer 1

The abscissa of an NMR spectrum shows the "chemical shift" of each proton or #""^13"C"# atom in the molecule.

The nuclei have a nuclear spin that gives rise to different energy levels and resonance frequencies in a magnetic field.

The magnetic field experienced by a nucleus consists of the external magnetic field and local magnetic fields caused by electrons in the molecular orbitals.

The electron distribution around each nucleus varies according to the local geometry, so the local magnetic field (and the resonance frequency) also varies.

This variation in resonance frequencies, is called the chemical shift #δ#.

The size of the chemical shift is measured against a reference substance such as tetramethylsilane (TMS), #("CH"_3)_4"Si"#.

The chemical shift is usually expressed in parts per million (ppm) by frequency.

#δ = (ν_0 - ν)/(ν_s) × 10^6#

where ν is the frequency of the peak, #ν_0# is the frequency of the reference, and #ν_s# is the spectrometer frequency.

Thus, an NMR signal observed at a frequency 660 Hz lower than the signal from TMS in a 300 MHz spectrometer has a chemical shift of:

#δ = (660 cancel("Hz"))/(300 × 10^6 cancel("Hz")) × 10^6 = "2.2 ppm"#

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Answer 2

The abscissa axis in a 1D-NMR spectrum represents the chemical shift of the nuclei being observed, typically measured in parts per million (ppm).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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