The adsorption of NH3 in acidic zeolites has been studied extensively experimentally. Therefore, it can be used very well to verify a model used in a quantum chemical calculation. Here, we present a calculation that, from a quantum chemical point of view, should give a reliable description of the adsorption process. We studied the adsorption of NH3 and NH4+ in chabazite with the embedded cluster method using a reasonable basis set, applying the counterpoise correction and including electron correlation. The geometry was partially optimized. With this calculation we verified the reliability of our model and obtained information that cannot be obtained experimentally. The adsorption energies of hydrogen-bonding NH3 and of NH4+ were -70 +/- 10 kJ/mol and -120 +/- 15 kJ/mol, respectively. The latter value compares very well with the experimental heat of adsorption. NH4+ has a high coordination with the zeolite wall; this is confirmed experimentally. A good geometry is obtained if the boundary of the embedded cluster is kept fixed to that of the zeolite crystal.