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Can we take one slab of p-type semiconductor and physically join it to another n-type semiconductor to get p-n junction?

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1. No. 

Any slab, howsoever flat, will have roughness much larger than the inter-atomic crystal spacing (~2 to 3 Å).

2. Hence, continuous contact at the atomic level will not be possible. The junction will behave as a discontinuity for the flowing charge carriers.

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