In the account of David bringing the Ark to Jerusalem, Chronicles states on that day David appointed Asaph to sing praises:
Then on that day David first appointed that thanksgiving be sung to the LORD by Asaph and his brothers. (1 Chronicles 16:7) [ESV]
What follows in Chronicles is a song, which, according to the JPS translators was taken from portions of Psalms 96, 105, and 106:
1 Chronicles Psalms 16:8-22 105:1-15 16:23-33 96:1-13 16:35-36 106:47-48
About this composition David Rothstein comments:
The exact relation between Chronicles and these psalms has been debated, though it is most likely that Chronicles had the book of Psalms more or less in the form we have it, and here copied out sections of psalms that were relevant to this occasion, and were popular among the Jews of his time.
Psalm 105, which begins the passage in Chronicles, is seen as having a post-exilic audience:
Ps. 105: Like 78, 106, 135, and 136, this psalm invokes selected authoritative Torah traditions along with exegetical comments on them in praise of God. The main theme is God's covenant with Abraham to give him the promised land. This covenant, a popular them in postexilic times (eg. Isa. 41.8, 51.2, 63.16; Neh. 9.7), was eternal and unconditional, and therefore still in effect despite the exile and the fact that Jews both in and outside the land of Israel lived under Persian rule. It provides encouragement and assurance to the postexilic audience (most likely those who had returned to the land of Israel) that they are entitled to the land of Israel by divine right. Vv. 1-15 are quoted in 1 Chron 16:8-22.
The covenant with Abraham is included in Chronicles:
8 He remembers his covenant forever, the word that he commanded, for a thousand generations, 9 the covenant that he made with Abraham, his sworn promise to Isaac, 10 which he confirmed to Jacob as a statute, to Israel as an everlasting covenant, 11 saying, “To you I will give the land of Canaan as your portion for an inheritance.” (Psalm 105)
15 Remember his covenant forever, the word that he commanded, for a thousand generations 16 the covenant that he made with Abraham, his sworn promise to Isaac, 17 which he confirmed to Jacob as a statute, to Israel as an everlasting covenant, 18 saying, “To you I will give the land of Canaan, as your portion for an inheritance.” (1 Chronicles 16)
But before restating the covenant nearly verbatim, the Chronicler makes a change:
O offspring of Israel his servant, children of Jacob, his chosen ones! (1 Chronicles 16:13)
O offspring of Abraham, his servant, children of Jacob, his chosen ones! (Psalm 105:6)
What does the Chronicler accomplish by saying "offspring of Israel" instead of "offspring of Abraham" which is found in the Psalm and implied in a message to a post-exilic audience assuring them of the covenant with Abraham?
1. Tanakh - The Holy Scriptures, The Jewish Publication Society, 1985, notes on pp.1553-1555
2. David Rothstein, The Jewish Study Bible, Oxford University Press, 2004, p. 1745
3. Adele Berlin and Marc Zvi Brettler, The Jewish Study Bible, Oxford University Press, 2004, p. 1399