Does anyone know where I can get a large AT-cut quartz crystal (large enough to resonate around 60 Hz) for use in a 60Hz oscillator circuit that won't cost me an arm and a leg? I just purchased a large flawless laboratory-grown single quartz crystal (100mm) for less than 100 bucks but the original orientation of the crystalline structure before it's round-faceted cut is unknown to me and even if I did know it, I do not have the tools necessary to perform such a cut on my own. If anyone knows of a company that will custom cut laboratory-grown quartz, please let me know. Thanks.
Edit: On a side note, does anyone know the equation that relates the length, and/or area, of a crystal oscillator to its natural resonant frequency? I have searched the internet, probably 20 hours, trying to find an equation that relates the crystal dimensions to its natural resonant frequency and haven't found anything even remotely close. I would GREATLY APPRECIATE any feedback on this!!!!
Edit: On a side note, does anyone know the equation that relates the length, and/or area, of a crystal oscillator to its natural resonant frequency? I have searched the internet, probably 20 hours, trying to find an equation that relates the crystal dimensions to its natural resonant frequency and haven't found anything even remotely close. I would GREATLY APPRECIATE any feedback on this!!!!