Tutorials/Diamonds

This explains how to find Diamonds in Minecraft. You should have at least Iron Tools by this point.

By Cave
Caving is the easiest way to find a Diamond. However, you need to find a cave which goes down to the lava layer (layer 10), if you haven't already found one. Look in your general area for any caves, and explore any caves fully to see if they lead down to lava. Chances are, if the caves branch, it is a very big cave, and most likely will go down to lava. Explore around the lava layer until you find a Diamond Ore.

By Mining
Dig down to layer 14 or lower (if you see a lava source block, you're there.) If you find a cave whilst digging down to this layer, explore it, and use the above paragraph.

Once you hit the layer, dig in one direction. Dig "branches" of this hallway every two blocks, ensuring the biggest area covered. Again, if you find a cave while digging your cave, explore it for Diamonds. Repeat this until you find a Diamond Ore.

Mining a Diamond, and Getting It Back Safely
Once you find a Diamond Ore, dig around it to uncover any other ore blocks. Diamond veins can connect by corners, and you don't want to miss a single Diamond!

Now mine the diamond ores. Yay, diamonds!

When in a cave, a simple way of safely getting a diamond is to dig a hole next to the diamond, putting water in that hole, and then mining the diamond. This will mitigate the chance of losing your diamond to lava.

If you dug around to get your Diamond, the task of getting it back safely is easy. For a cave, it's much harder. If you don't know where the entrance to your cave is, you can always dig a stairway up until you hit the surface, and then find your house from there.

In A Cave
Explore more. Enough said.

In A Strip Mine
Diamonds will spawn below layer 16, so you can do a staggered Branch Mine, with tunnels at layer 14 (covering 14, 15, 16), 11 (covering 11, 12, 13), and 8 (covering 8, 9, 10).

It would look something like this: MMMMMMMMMMMMMMM M.MM.MM.MM.MM.M M.MM.MM.MM.MM.M  MMMMMMMMMMMMMMM M.MM.MM.MM.MM.M M.MM.MM.MM.MM.M MMMMMMMMMMMMMMM M - Covered Area . - Tunnel