Purchases should carry over between devices as long as you are logged into the same account. Purchases can not be transferred between platforms, however; you can not buy potato from Google and expect same from iTunes.
If you have lost anything that you have purchased, we can help restore them (even if it was bought with filthy Capitalist money!) if you email us at email@example.com with the following:
1. Your purchase receipt(s) confirming the correct Gold amount or screenshot of your app/game store purchase history showing the transaction
2. Screenshot of your current Science total by tapping the Recycle option on the Experiments page
3. Your PlayFab ID found under Menu>Settings (Cog icon)>Bottom of screen