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We study the production of spin 3/2 particles in homogeneous scalar and gravitational backgrounds from the mode-mixing Bogolyubov method. Considering only helicity ± 3/2 states we can reduce the problem to a standard Dirac fermion calculation and apply the standard techniques in a straightforward way. As an example we consider a supergravity inflationary model and calculate the spectrum of gravitinos created during preheating at the end of inflation.doi:10.1103/physrevlett.84.1655 pmid:11017593 fatcat:fgsxqwze2rgmfocir4s5ukeuvy