The word "expiation" means to make up for a wrongdoing or mistake by doing something good or by showing remorse. It is like a way to seek forgiveness or to make amends for something wrong that was done. Full definition
In this case it is reserved to the public power to deprive the condemned person of the enjoyment of life in expiation of his crime when, by his crime, he has already dispossessed himself of his right to life. (firstthings.com)
O'Connor regarded both her life and her art as sacrifices offered not only in gratitude for her own salvation but also in expiation for the sins of a world that remains dead to the presence of God. (firstthings.com)
This interpretation of the scriptures and understanding of Christian anthropology gave Christian spirituality a view of God as a harsh judge who wanted the sacrifice of the life of Jesus as expiation and atonement for the sins of humanity. (religion-online.org)