I have an old application that uses frames (not iframes) was was written back in the IE6 days so it runs in quirks mode.
Is it possible (Using IE 7 or 8) to have one
See my answer here for MSDN-documented solution for IE9: How to force Iframe to run quirks under a standard parent frame
In short, it is not possible to trigger quirks mode in a frame (or iframe) if the parent page is rendering in IE9 mode, but it is possible to trigger "quirks mode emulation" embedded in the IE9 rendering engine.
JSBin demo: http://jsbin.com/ozejuk/1/
Further reading: http://msdn.microsoft.com/en-us/library/gg558056(v=vs.85).aspx