Here is a look at the five men and the crimes they committed.

Lezmond Mitchell, 37, who killed a woman and her granddaughter

Mr. Mitchell was convicted in 2003 of killing a grandmother and her 9-year-old granddaughter within the Navajo Nation in northeastern Arizona.

Major crimes within the Navajo Nation fall under federal jurisdiction when either the perpetrators or victims — or, as in this case, both — are members of the nation. A jury decided that Mr. Mitchell should face the death penalty.

Mr. Mitchell and a friend were hitchhiking near the border with New Mexico when they were picked up by the 63-year-old grandmother, Alyce Slim, who was with her granddaughter, Tiffany Lee, according to The Santa Fe New Mexican.

The two men stabbed her to death and then killed her granddaughter after forcing the child to sit near her grandmother’s body while they drove 30 to 40 miles, according to the Justice Department. They later used the grandmother’s truck in a robbery, The New Mexican reported.

The Justice Department has scheduled Mr. Mitchell’s execution for Dec. 11.

Wesley Purkey, 67, who killed a 16-year-old girl and an 80-year-old woman

Mr. Purkey, of Lansing, Kan., kidnapped a 16-year-old girl, Jennifer Long, in Kansas City, Mo., and brought her to his house, where he raped her repeatedly and, after killing her, dismembered and burned her body.