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In HRTEM, the Scherzer defocus makes the contrast transfer function as large and as flat as possible by allowing the phase to reach 120 before

In HRTEM, the Scherzer defocus makes the contrast transfer function as large and as flat as possible by allowing the phase to reach 120 before turning back, ie, to stay close to 90 (|sin|=1) as much as possible. Derive (1) the corresponding Scherzer defocus f; (2) the spot resolution where CTF first vanishes; (3) the resolution where CTF vanishes the second time (useful information may still be extracted till here

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