The RAM Promotion Group (RAMPRG) has standardized the capacities as such (additional changes to the specification had no affect on capacity):
However, there are also specific versions of DVD-RAM (they obviously coincide with the specifications listed above, and are probably representative of revision numbers):
Also note that these discs are common in cartridge based media for camcorders and such. There are additional storage capacities related to these.
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To fix the "CD-DVD-ST DVDRAM GT51N is failed" error, first, check the physical connections to ensure the drive is properly connected to the motherboard and power supply. Next, try updating or reinstalling the device driver through Device Manager. If the issue persists, consider cleaning the drive with a lens cleaner or testing it in another computer to determine if it's a hardware failure. If the drive is faulty, you may need to replace it with a new one.
From wikipedia: DVD-RAM is considered a highly reliable format, as the discs have built-in error control and a defect management system. Therefore, DVD-RAM is perceived to be better than the other DVD technologies for traditional computer usage tasks such as general data storage, backup and archival.