Is there an explanation in Catholicism as to why it was the Son and not the others of the Blessed Trinity to become man and be crucified for our sake?

According to Catholic faith and theology, once God decreed to save mankind, redemption would be by the work of God-made-man. > For us men and for our salvation, he came down from heaven: > [...] and became man. For our sake he was > crucified. - **The Nicene Creed** . And > But God decided that man should be shown mercy and be pardoned. His > mercy was to be above all His works; and He also decreed that this > mercy and pardon were to be granted because of the full satisfaction > of justice by adequate atonement. Hence **it became necessary that One > of the Trinity assume created nature and in that nature offer > reparation to God for man's great sin**. - Library: The theology of > the Precious Blood | Catholic Culture . Within Catholicism is there an explanation of why it was the Son and not the Father or the Holy Spirit *who for us men and our salvation became man and was crucified*?