CREATE DATABASE using file in default path

I want to create an SQL script that creates a database. Right now, I have this:

CREATE DATABASE [Documents] ON  PRIMARY 
( NAME = N'Documents', FILENAME = N'Documents.mdf')
 LOG ON 
( NAME = N'Documents_log', FILENAME = N'Documents_log.ldf')
 COLLATE SQL_Latin1_General_CP1_CI_AS

However, this generates the following error:

Msg 5105, Level 16, State 2, Line 2
A file activation error occurred. The physical file name 'Documents.mdf' may be incorrect. Diagnose and correct additional errors, and retry the operation.
Msg 1802, Level 16, State 1, Line 2
CREATE DATABASE failed. Some file names listed could not be created. Check related errors.

I know the problem is that I did not specify fully qualified path for the filenames. But I want to be able to run this script regardless of the directory structure of the database server. Is there some way to use a default path?

Answer

You can create a database without specifying file details, like:

CREATE DATABASE Documents;