“…Non-linear ground states have been found in many cases. For example both laboratory [6,7] and theoretical [8,9] studies have shown that SiC 2 has a cyclic ground state, whereas for SiC 3 the ground state is a rhomboidal isomer. Other theoretical works have studied the structure of aluminum, magnesium, and sodium carbides, such as AlC 2 [10][11][12][13][14][15], AlC 3 [16,17], MgC 2 [14,18,19], MgC 3 [20,21], and NaC 3 [22], concluding that several isomers are quite close in energy and might be accessible to experimental detection.…”