The　structure　of　the　overlapping　interface　xi＇-Al-Ni-Rh　in　was　determined　by　calculating　the　total　energy　of　super　lattices　containing　defect　structures　using　the　modified　analytic　embedded-atom　method　(MAEAM).　The　structure　analyses　indicated　that　only　two　equivalent　types　of　interfaces　exist,　which　are　defined　as　the　PF　and　PI　types.　Calculation　of　the　PF-　and　PI-type　super　cells　indicated　that　the　interface　between　the　close-packed　P　layer　and　the　slightly　puckered　I　layer　has　a　lower　energy　and　may　be　a　static　interface.　Although　the　PI-type　overlapping　interface　may　seriously　corrupt　decagonal　cluster　columns　in　the　approximant　phase,　it　causes　relatively　less　corruption　of　the　metallic　bonds　than　the　PF　mode.　The　total　energies　of　the　three　types　of　super　lattices　caused　by　different　displacement　vectors　between　the　two　domains　found　in　xi＇-Al-Ni-Rh　were　also　calculated.　The　domain　boundary　translated　with　a　vector　of　r=1/2a　+　/2rc　is　the　most　static　state　among　the　three　type　super　lattices　from　energy　perspective.