Do MacBooks have a true "Hibernate" option?

I've recently switched from Windows to a MacBook pro. In Windows, there are the following shutdown options: - **Standby** - the machine goes into a "light sleep" from which it can awaken very quickly (like, in a few seconds), but plenty of energy is consumed. - **Hibernate** - the OS dumps the current system state (including the contents of the RAM) to a file, then turns the machine off. Wakeup takes longer than from standby, but there is no latent energy consumption. - **Shut down** - the OS shuts down, and the machine is turned off. In OS X, what I can see is - **Sleep** - seems equivalent to standby, or an even lighter form of sleep as Mail seems to even continue to poll for new email? - **Shutdown and restore** all apps on next start - turns off machine, seems to start the OS from scratch and restart alls apps - from what I can tell, it's *not* hibernation - **Shutdown** and don't restore apps - shut down is this correct, and does OS X not have a true "hibernate" mode that can write its state to disk? Because that's what I'm looking for really. There's talk of a "Safe Sleep" mode on the Internets, but I can't see it in my OS X menu. Is it hidden in 10.7?