2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80826We determined the refractive-index structure-factor $S_n(\bf k)$ from shadowgraphs of fluctuations in a layer of a homeotropically aligned nematic liquid crystal with negative dielectric anisotropy in the presence of an ac voltage of amplitude $V_0$ applied orthogonal to the layer. $S_n(\bf k)$ had rotational symmetry. Its integral $P(V_0)$ and amplitude $B(V_0)$ increased smoothly through the Fréedericksz transition at $V_0 = V_F$. Its inverse width $ξ(V_0)$ and its relaxation rate $Γ_0(V_0)$ had cusps but remained finite at $V_F$. The results are inconsistent with the critical mode at a second-order phase transition.4 pages, 5 figuresPattern Formation and SolitonsFluctuations of a homeotropically aligned nematic liquid crystal in the presence of an applied voltagetext