The understanding of the tert-butanol 13C multiplicity is critical to interpreting and taking conclusive information from the 2D’s spectra. The HSQC (Figure 3a) shows one bond proton-carbon correlations, so the carbon resonances corresponding to C2, C3 and C4 will have a correlation with their respective protons (H2, H3, and H4). From the HMBC spectrum (Figure 3b), we expect to see two (2JCH) and three bond (3JCH) correlations. So, the quaternary carbon (C1) correlates with nine hydrogens (2JCH), and the methyl carbon resonance for C2, C3 and C4 couples with their six vicinal protons (3JCH).
An important characteristic of the HMBC data is that it is acquired without decoupling, so any residual one-bond coupling (1JCH) (not removed by the low pass J filter) will appear as two correlations centered in the corresponding 1H signal, so it can be easy differentiated from 2JCH, and 3JCH, which are strong correlations aligned with the corresponding signal.
To illustrate how 1JCH looks like in the HMBC spectrum the HMBC acquisition parameter, average value for 1JCH, was set to 200 Hz, instead of the usual value of 145 Hz. The proper setting of this parameter leads to HMBC data without the residual 1JCH.