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Theoretical analysis of chemically amplified resists indicates that a higher reaction order of acid-catalyzed reaction and lower diffusion length of acid enhance image quality. We identified the relation between diffusion length and the number of catalytic acids appropriate for inducing a given amount of acid-catalyzed reactions as a function of the difference between the activation energies of diffusion ( E ad ) and acid-catalyzed reaction ( E ar ), and the post-exposure baking (PEB) temperature. When E ad = E ar , the diffusion length required for a certain amount of acid-catalyzed reaction is inversely proportional to the square root of the amount of generated acids, regardless of PEB temperature. When E ad ≠ E ar , the required diffusion length depends on PEB temperature. When E ad < E ar , the diffusion length is smaller at higher PEB temperatures, and this will be preferable for enhancing the resist resolution.
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Nakamura et al. (1994) studied this question.
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