“…Other well-characterised E ′ centres in quartz include the E ′ 4 and E ′ 11,16 centres (Table S2; Perlson and Weil, 2008; Mashkovtsev and Pan, 2012a, 2016, 2018; Mashkovtsev et al ., 2019). The former contains a proton near the oxygen vacancy, wheras the latter with diagnostic 27 Al superhyperfine structures provide experimental proof for the hypothesis that Al impurity plays an important role in the formation of E ′ centres (Jani et al , 1983; Mashkovtsev and Pan, 2018; Mashkovtsev et al , 2019). In addition, various E ′′ centres arising from interactions between two neighbouring E ′ centres have been discovered and characterised with the triplet-state model in recent years (Table S2; Mashkovtsev et al , 2007; Mashkovtsev and Pan, 2011, 2012a, 2012b, 2014).…”