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In this paper we revisit a singular bulk potential in the Landau-de Gennesfree energy that describes nematic liquid crystal configurations in theframework of the Q-tensor order parameter. This singular potential, calledBall-Majumdar potential, is introduced in [3], and is considered as a naturalenforcement of a physical constraint on the eigenvalues of symmetric, tracelessQ-tensors. Specifically, we establish blowup rates of both this singularpotential and its gradient as Q approaches its physical boundary.

Blowup rate estimates of the Ball-Majumdar potential and its gradient in the Landau-de Gennes theory