Table 1.

Calculated values of the Bardeen–Hering correlation factor f [10] for four two-dimensional and four three-dimensional structures. Z is the coordination number of the graph.

structureZ−〈cos θ〉Avf
linear chain210
honeycomb layer31/21/3
square layer41 − 2/π0.466942
triangle layer65/6 −3/π0.566057
diamond41/31/2
simple cubic60.2098410.653120
body-centred cubic81 − Γ4(¼)8π3 − 8π/Γ4(¼)0.727194
face-centred cubic120.123…0.781…