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A new method that accounts for small but significant geometric distortions in quantitative convergent beam electron diffraction (QCBED) is briefly introduced. A summary of preliminary results obtained with this method shows an average three- to fourfold improvement in structure-factor measurement precision by QCBED. In the present work this method is applied to α-\rm Al_{2}O_{3}, a benchmark compound for charge density studies. Experimental uncertainty is reduced to a level three times smaller than differences between density functional theory and periodic Hartree–Fock calculated structure factors.

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