Although we employ dihedral potential energy functions to demonstrate additive energy landscapes, any function describing the potential energetic contribution of an internal degree of freedom could be employed. Thus, X i could be a different space besides the circle S 1 ; for example, X i could also be the nonnegative real line R ≥0 if it describes displacement from an equilibrium bond length (as in the harmonic oscillator). Whenever an energy landscape V : X → R has the property that X = ∏ n i=1 X i is a product space and the energy function V (x 1 , . . . , x n ) = ∑ n i=1 g i (x i ) can be written additively as a sum of building block functions g i on each space X i , then we can use the persistence Künneth formula in order to determine the sublevelset persistence of V in terms of the persistence of the simpler building block functions g i . Indeed, for any energy value E ∈ R we have V (x 1 , . . . , x n ) ≤ E precisely when there exist real values E 1 , . . . , E n ∈ R with E 1 + . . . + E n = E and g i (x i ) ≤ E i for all 1 ≤ i ≤ n. Therefore, the sublevelset filtration of V is the "tensor product" of the sublevelset filtrations of g 1 , . . . , g n , and so we can use the Künneth formula to give the barcode for the sublevelset persistent homology of V .