The hydrocarbon interior of a lipid bilayer at has relative permittivity

PHYSICS · Multi-part · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Biophysics & Medical Physics · Macromolecules, membranes and cell architecture

Forces, Machines and Signals, Ch Charges in salt water and the assembly of amphiphiles

Problem

The hydrocarbon interior of a lipid bilayer at 298 K298\,\mathrm{K} has relative permittivity εr=2.0\varepsilon_r = 2.0. Two singly-charged residues (z1=z2=+1z_1=z_2=+1), buried on either side of a transmembrane helix, sit 1.4 nm1.4\,\mathrm{nm} apart. ((a)) Compute the Bjerrum length inside the membrane at 298 K298\,\mathrm{K}. ((b)) Find the electrostatic energy of the buried charge pair, in units of kBTk_BT.

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