I just derived the 3-D Cristoffel symbol of the 2nd kind for spherical coordinates. I don't think I made any careless mistakes, but once again, I just want to verify that I am correct and I can't find any place on line that will give me the components of the symbol so I can check myself. Here are the components that I derived: (I won't post the 0 components, nor will I post repeat components. By repeat components I mean: If I post [itex]\Gamma[/itex]212 then I already know that [itex]\Gamma[/itex]221 will be the same thing because you can switch around the bottom two indicies.) [itex]\Gamma[/itex]122 = -r [itex]\Gamma[/itex]133 = -rsin2(θ) [itex]\Gamma[/itex]212= 1/r [itex]\Gamma[/itex]233= -sin(θ)cos(θ) [itex]\Gamma[/itex]313= 1/r [itex]\Gamma[/itex]323 = cot(θ) I used the metric tensor and derivatives of metric tensors formula to derive these components. Can someone please look at these components that I derived and verify for me if I am right or not. I can provide the metric tensor that I used upon request if you wish to see further work.