Ammonia, (mathrm{NH}_{3}), is tetrahedral, with the three hydrogens in an equilateral triangle base plane and with the

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Ammonia, \(\mathrm{NH}_{3}\), is tetrahedral, with the three hydrogens in an equilateral triangle base plane and with the nitrogen at the top of the tetrahedron.

(a) What are its symmetry operations (including mirrors/inversions)?

(b) For each symmetry operation, which atoms stay at home?

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