I have the following tests with tables in scott's schemas:
SQL> set autotrace trace
SQL> select * from emp order by ename;
14 rows selected.
Elapsed: 00:00:01.26
Execution Plan
----------------------------------------------------------
0 SELECT STATEMENT Optimizer=CHOOSE (Cost=5 Card=14 Bytes=448)
1 0 SORT (ORDER BY) (Cost=5 Card=14 Bytes=448)
2 1 TABLE ACCESS (FULL) OF 'EMP' (Cost=2 Card=14 Bytes=448)
Statistics
----------------------------------------------------------
188 recursive calls
0 db block gets
44 consistent gets
0 physical reads
0 redo size
1506 bytes sent via SQL*Net to client
656 bytes received via SQL*Net from client
2 SQL*Net roundtrips to/from client
7 sorts (memory)
0 sorts (disk)
14 rows processed
Then i create an ascending index on ename:
SQL> create index ind_emp_ename on emp(ename asc);
SQL> select * from emp order by ename;
14 rows selected.
Elapsed: 00:00:01.26
Execution Plan
----------------------------------------------------------
0 SELECT STATEMENT Optimizer=CHOOSE (Cost=5 Card=14 Bytes=448)
1 0 SORT (ORDER BY) (Cost=5 Card=14 Bytes=448)
2 1 TABLE ACCESS (FULL) OF 'EMP' (Cost=2 Card=14 Bytes=448)
Statistics
----------------------------------------------------------
0 recursive calls
0 db block gets
3 consistent gets
0 physical reads
0 redo size
1506 bytes sent via SQL*Net to client
656 bytes received via SQL*Net from client
2 SQL*Net roundtrips to/from client
1 sorts (memory)
0 sorts (disk)
14 rows processed
As you see there isn't any improvement in the execute plan. It seems that the ascending index on ename does not work.