Imaginary part of the Love number Imk₂ as a function of the excitation frequency for two different internal structures of TRAPPIST-1e, assuming α = 0.25. The iron-poor structure (ice-less structure) is in blue and the iron-rich structure (with an ice layer) is in orange. Full lines: the multi-layer model. Dashed lines: the corresponding best fits of a homogeneous model. Dotted lines: homogeneous model with averaged viscosity and shear modulus. The black vertical line represents the excitation frequency ofTRAPPIST-1e, which is the orbital frequency in the following hypotheses: the rotation is synchronized, the obliquity is zero, and the eccentricity is small.