Charles Darwin did not conduct the experiment shown in the photo by Benjamin Duchenne himself and also did not show it in his book, but he used an engraving based on that photo as Fig. 20 (page 299) in The Expression of the Emotions in Man and Animals (1872) to show the facial expression for “Terror”.
On the left side you see a detail from Henry Holiday’s illustration to the chapter The Banker’s Fate in Lewis Carroll’s The Hunting of the Snark (1876). I think that Holiday’s illustration (notice the Bellman’s arm) might have been inspired by the illustration in Darwin’s book. The only known letter exchange between C. L. Dodgson (aka Lewis Carroll) and Charles Darwin was about photos of facial expressions, which Dodgson offered to Darwin (who kindly rejected the offer).