NMAC BETWEEN GA-SMA AND CORP-SMT ON FINAL AT UNCONTROLLED ARPT.

Narrative

CONTRIBUTING FACTOR WAS THE FACT THAT AS A CFII; I WAS FLYING AND EXPLAINING TO THE STUDENT MY ACTIONS; AS WELL AS COMMUNICATING AND SCANNING FOR TFC. MY NORMAL EXTENSIVE SCAN OF THE STRAIGHT IN APCH PATH WAS BRIEFER THAN USUAL BECAUSE OF THE WORKLOAD; AND I MISSED SEEING THE OTHER ACFT. I SUSPECT THAT AS WELL AS BEING ON THE INCORRECT FREQ; THE SMT ALSO FLEW EITHER A STRAIGHT IN APCH OR A LEFT HAND PATTERN; WHICH WAS NOT THE PROPER PATTERN FOR THIS PARTICULAR RWY. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING: WITH STUDENT ON FIRST PRIMARY FLT AND EXPLAINING PATTERN. HAD CALLED UNICOM ON PUBLISHED FREQ; 122.7 AT THIS ARPT; FOR INFO WHICH WAS RWY 16 WHICH IS RIGHT HAND PATTERN AND SO NOTED IN PUBLICATIONS. RPTED TURN TO BASE AND DUE TO EXPLAINING TO STUDENT DID NOT GET USUAL LONG LOOK AT FINAL. SMT WAS APPARENTLY ON A VERY LONG FINAL BECAUSE WHEN HE SAW SMT; WAS ALREADY IN A GO AROUND WITH GEAR COMING UP BELOW THE SMA WHICH WAS AT 400' AGL. ASKED IF SMT WAS ON FREQ SEVERAL TIMES; AND WHEN NO ANSWER WENT TO 122.8 AND FOUND SMT THERE ON WRONG FREQ. SMT SAID; 'DIDN'T YOU SEE ME ON LEFT BASE?'; AND SMA EXPLAINED PATTERN WAS RIGHT BASE. SMT SAID NOT FAMILIAR WITH AREA. WHEN ASKED IF LOOKED ON CHART OR SECTIONAL; SAID DIDN'T CARRY THEM; USED MEMORY. FAA INVESTIGATED INCIDENT AND SINCE SMT CLAIMED HAD PLENTY OF CLRNC AND WITNESS ON GND THAT SMT PRODUCED AT FBO 1 MI AWAY SAID NO NEAR MISS FAA HAS CLOSED INCIDENT. THEY DID GIVE SMT PLT STRONG ADMONITION FOR NOT BEING ON RIGHT FREQ AND NOT FLYING PROPER PATTERN.