Oracle database files don't need to be created in the ORACLE_HOME directory tree. In fact, I always prefer to have the data, log and control files for Oracle databases *OUTSIDE* of the ORACLE_HOME. That way, I can manage the space for and backups of the database separate from the ORACLE_HOME. I also re-direct log and trace files outside of the ORACLE_HOME so the size of that stays static unless I'm installing a patch.
I agree with sdstuber's suggestion: just edit your /etc/oratab file so it points to your binaries. That files doesn't have to point to your data files. It only needs to know where your Oracle binaries are.
I agree with sdstuber's suggestion: just edit your /etc/oratab file so it points to your binaries. That files doesn't have to point to your data files. It only needs to know where your Oracle binaries are.