Nuclear Energy is probably the most least understood source of energy, marred with all sorts of saefty and political connotation.
Nuclear power provide 11% of world's power without any carbon dioxide emissions. This is coming from 440 commercial power nuclear reactors operable in 31 countries. About 60 more reactors are under construction. For the last 15 years or so, total capacity has stagnated, otherwise we would have been at 20% mix by now. Some countries have done really well like France which gets 75% of its energy from nuclear. (SOURCE)
Some of the accidents reltaed to nuclear power has caught world's attention. The world has been host to three major nuclear power generation accidents: Three Mile Island in 1979, Chernobyl in 1986 and Fukushima in 2011. The fatalities in these accidents are statistically insignificant compared to, let's say, driving. In US along, there were 32,000 traffic accident deaths in 2013 and everyone still is driving.
Read this article to learn more about the case for nuclear. Simply fascinating how it compares Nuclear with all sorts of things and makes a solid case.