Note the following example:
<CalculatedMember name="Store Sqft" dimension="Measures" visible="false">
According to the MDX specification for the Properties function, the syntax is the following:
Member_Expression.Properties(Property_Name [, TYPED])
If you attempt to use Dimension.Properties(Property_Name), you will receive the following error in your logs:
mondrian.olap.MondrianException: Mondrian Error:No function matches signature '<Dimension>.Properties(<String>)'
Also note that in the example, the CalculatedMember is not closed.