“…Since the heavy water quadrupole splitting, ∆ν q , can be related to changes in the bilayer structures [15,19,20], it is a useful probe of membrane surface geometry and membrane hydration. For a powder sample of multilamellar vesicles (MLVs), ∆ν q is the distance (Hz) between the highest peaks of the powder spectrum (see Figure 1A) and is given by the sum of the contribution of water bound to different sites along the phosphocholine headgroup of the membrane [15,19,20]:
where, ν q = 220 KHz is the water quadrupole coupling constant; p b,i and S b,i are, respectively, the fraction and the molecular order parameter of bound water at the i th binding site. The last parameter takes the fast anisotropic molecular reorientations of water molecules at the membrane interface into account.…”