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I am trying to make a material that is translucent at the surface and opaque in the middle. How can I control the gradient?

I would like the gradient to correspond with the mesh; i.e. not simply radiate from the origin or something like that. (If my model was a tree, the leaves and bark would be translucent while the branches and trunk, under a couple inches of bark, would be opaque.)

For reference, I am trying to replicate this glacial ice:

enter image description here

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The absorption node seems to be what you are looking for.

enter image description here

You can also add surface shaders on top of the volume shaders, for example:

enter image description here

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