Why was #C^13NMR# spectroscopy developed after #H^1NMR# spectroscopy?
The weak signals' propensity to be obscured by noise is another issue.
Digitizing the signal was still a challenge, and the computations required large, expensive computers.
Prior to the commercial availability of "small" computers, NMR spectroscopy was not widely used.
And with that, NMR in organic chemistry began to blossom.
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C-13 NMR spectroscopy was developed after H-1 NMR spectroscopy because carbon-13 nuclei have a lower natural abundance and a lower sensitivity to NMR detection compared to hydrogen-1 nuclei, making it more challenging to develop the technology for carbon-13 NMR spectroscopy.
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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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