A new algorithm for maximum entropy reconstruction of NMR data is proposed. We use the conventional entropy expression, -Σxjln xj, identifying xj as either the distribution of nuclear spin orientations (in a classical treatment) or the spin density operator (in a quantum mechanical treatment). Maximization of this entropy, subject to the usual x2 constraint imposed by the experimental data, is shown to be equivalent to maximizing a more complicated entropy expression with respect to Mx(ω) and...