Summary

Portrait of Thomas Aquinas Thomas Aquinas Summa Theologiae — Question 82 - OF THE MINISTER OF THIS SACRAMENT…

And since the consecration of the Eucharist is an act which follows the power of order, such persons as are separated from the Church by heresy, schism, or excommunication, can indeed consecrate the Eucharist, which on being consecrated by them contains Christ's true body and blood; but they act wrongly, and sin by doing so; and in consequence they do not receive the fruit of the sacrifice, which is a spiritual sacrifice.
Source: Wikisource

Portrait of Thomas Aquinas Thomas Aquinas Summa Theologiae — Question 82 - OF THE MINISTER OF THIS SACRAMENT…

The sacramental power is in several things, and not merely in one: thus the power of Baptism lies both in the words and in the water. Accordingly the consecrating power is not merely in the words, but likewise in the power delivered to the priest in his consecration and ordination, when the bishop says to him: "Receive the power of offering up the Sacrifice in the Church for the living as well as for the dead." For instrumental power lies in several instruments through which the chief agent acts.
Source: Wikisource

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