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- W2019718895 abstract "The statistical error of the spin-lattice relaxation time in a fast inversion-recovery FT experiment is a function of the rms error of the experimental values σ. For small values of σ, i.e., σ ⪅ 0.01 (in units of the maximal signal intensity M), the rms error of T1 is proportional to σ. If σ is of the order of 0.1 the rms error of T1 is greater than the value which is expected from the linear relationship. Consequently, in this range of σ values nonlinear terms also have to be taken into account. The dependence of the rms error of T1 on the inhomogeneity parameter, I, the pulse-delay time T, the number of data points, n, and the st of t values, characterized by the smallest t value, ta, and the width of the distribution of t values, tb = tn − ta, was studied for σ = 0.1 using stochastic simulations of T1 experiments. In order to take the duration of the T1 experiment into account an optimization function is defined and evaluated in dependence on I, n, ta, tb, and T. The use of the optimization function is described and the uncertainty of T1 prior to the experiment is taken into account. If the uncertainty of T1 prior to the experiment is relatively small (0.9T10, 1.1T10), the optimal values of the waiting times are t′a = 0.25T10, t′b = 0.9T10, T′ = 2.8T10. If the estimated value of T1 prior to the experiment lies in the interval (5T10, 1.5T10) the waiting times t′a = 0.2T10, t′b = 1.3T10, and T′ = 3.0T10 are suggested. In order to simplify the analysis of T1 experiments the relationship between the statistical error of T1 and the signal-to-noise ratio, the dynamic range and the contributions of higher-order terms is discussed." @default.
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- W2019718895 title "Optimization of fast inversion-recovery fourier transform experiments" @default.
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