Dr. Alexey Ignatchenko Research Group

Schwarzites. Names are composed of a letter for the TPMS type followed by the symmetry group, chemical element, and the number of atoms in the unit cell. Click on each name to explore 3D interactive model.
Entry # Name Crystal System Point symbol for net Density, g/cm3 Small chamber's neck
Large chamber's neck
Chirality Literature reference
1 P221-C168 cubic {4.7.8}4{6.7.8}2
{7.8^2}
0.905 (1111)^6 (2^8)^6 achiral
2 P207-C168g cubic {6^2.7} -- (2222)^6 (2^8)^6 chiral
3 P207-C168(P) cubic {6^2.7} 1.116 (2222)^6 (31313131)^6 chiral 2023JCC
4 P89-C168(M) tetragonal {6^2.7} 1.072 (2222)^2, (3131)^4 (2^6)^2, (32213221)^4 chiral
5 P130-C672 tetragonal {6^2.7} 1.186 (321321), (312312), (33121)^4 (31313131)^2, (4113221)^4 chiral 2023JCC
6 P197-C168(P) cubic {6^2.7} 1.552 (321321)^6 (321321)^6 chiral
7 P111-C168 tetragonal {6^2.7} 1.186 (411411)^4, (222222)^2 (312312)^2, (321321)^2, (32123212)^2 achiral
8 P75-C336 tetragonal {6^2.7} 1.184 (2222)^2, (3212)^4 (2^8)^2, (32222122)^4 chiral
9 P221-C216 cubic {6^2.7}7{6^3}2 1.017 -- (2^8)^6 achiral
10 P221-C312 cubic {6^2.7}7{6^3}6 0.939 -- (2^8)^6 achiral
11 P221-C456 cubic {6^2.7}7{6^3}12 0.758 -- (2^12)^6 achiral
12 P221-C408 cubic {6^2.7}7{6^3}10 0.85 -- (2^8)^6 achiral
13 P200-C276 cubic {6^2.7}14{6^3}9 0.958 (33113311)^6 -- achiral
14 P83-C200 tetragonal {6^2.7}21{6^3}4 1.069 (2222)^2, (322311)^4 (31313131)^2, (3131-1313)^4 achiral
15 P83-C216 tetragonal {6^2.7}7{6^3}2 1.012 (2222)^2, (322311)^4 -- achiral
16 P83-C184 tetragonal {6.7^2}{6^2.7}19
{6^3}3
1.145 -- (31313131)^2, (31131221)^4 achiral
17 P83-C224(P) tetragonal {6.7^2}{6^2.7}19
{6^3}8
1.019 -- -- achiral
18 P81-C240 tetragonal {6^2.7}7{6^3}3 0.943 -- -- meso
19 P195-C216(P) cubic {6^2.7}7{6^3}2 1.072 -- -- chiral
20 P195-C300(P) cubic {6^2.7}14{6^3}11 0.957 -- (312312)^6 chiral
21 P89-C1440 tetragonal {6^2.7}14{6^3} 1.155 (421421)^4 (22222222)^2, (31223122)^4, (22222222)^2 (421421)^4, (22222222)^2 4
dia
stereo
mers

22 P89-C192(P) tetragonal {6^2.7}7{6^3} 1.232 (31313131)^2, (42114211)^4 (42114211)^4, (22222222)^2 chiral
23 P207-C360(P) cubic {6^2.7}7{6^3}8 1.022 -- -- chiral
24 P221-C240 cubic {6^2.7}7{6^3}3 0.849 -- -- achiral (meso)
25 P221-C288 cubic {6^2.7}7{6^3}5 0.684 (2222)^6 (42114211)^6 achiral (meso)
26 P204-C216 cubic {6^2.7}7{6^3}2 1.084 (41124112)^6 (41124112)^6 achiral (meso)
27 P215-C192 cubic {6^2.7}7{6^3} 1.075 (411411)^6 (32123212)^6 achiral
28 P207-C288(M) cubic {6.7^2}{6^2.7}5
{6^3}6
0.954 (21212121)^6 -- chiral
29 P207-C216(M) cubic {6.7^2}{6^2.7}5
{6^3}3
1.097 (21212121)^6 -- chiral
30 P207-C144(M) cubic {6.7^2}{6^2.7}5 1.192 (21212121)^6 -- chiral
31 P207-C120(M) cubic {6.7^2}2{6^2.7}3 1.412 -- (2222)^6 chiral
32 P207-C56(1^8) cubic {6.8^2}3{6^2.8}3
{8^3}
-- (1111)^6 (11111111)^6 --
33 P221-C56 cubic {6.8^2}3{6^2.8}3
{8^3}
1.724 (1111)^6 (2222)^6 achiral
34 P207-C56(2222)(P) cubic {7^3} 1.788 -- (2222)^6 chiral
35 P207-C80(P) cubic {6.7^2}3{6^2.7}3
{7^3}4
1.268 (1111)^6 (21212121)^6 chiral
36 P211-C32 cubic {8^3}



2017SC
37 P221-C120 cubic {6^2.8}4{6^3} 1.397 (2222)^6 (11111111)^6 achiral
38 P221-C192(1111) cubic {6.8^2}{6^2.8}2
{6^3}5
1.033 (1111)^6 -- achiral
39 P221-C192(2^8) cubic {6^2.9}3{6^3}5 1.059 (11111111)^6 (22222222)^6 achiral
40 D203-C672(M) cubic {6^2.7} 1.258 -- -- chiral 1992PRL
41 D227-C768 cubic {6.7^2}2{6^2.7}3
{6^3}3
1.032 -- -- achiral
42 D227-C864(222) cubic {6^2.7}7{6^3}2 0.642 (222)^4 (332233223322)^4 achiral
43 D227-C864(222222) cubic {6^2.7}7{6^3}2 1.124 (222222)^4 (313131)^4 achiral
44 D227-C960 cubic {6^2.7}7{6^3}3 0.994 (313131)^4 (222222222)^4 achiral
45 D215-C960 cubic {6^2.7}7{6^3}3 1.084 (222222)^4
achiral
46 D227-C480 cubic {6.7^2}2{6^2.7}3 1.398 -- -- achiral
47 D227-C1248 cubic {6^2.7}7{6^3}6 0.873 (222222)^4 -- achiral
48 HT177-C252(313131)(P) hexagonal {6^2.7} 1.191 (313131)^2, (31313131)^3 (222222)^2, (2222)^6 chiral
49 HT177-C252(222)(P) hexagonal {6^2.7} 0.953 (222)^2, (2222)^3 (313131313131)^2, (31313131)^6 chiral
50 H149-C168(P) hexagonal {6^2.7} 1.277 (22222)^2, (321321)^3 -- chiral
51 H155-C558(P) hexagonal {6^2.7}28{6^3}3 1.226 (331331)^3 (321321)^3 chiral
52 GW182-C336(P) hexagonal {6^2.7} 1.275 (222222)^2, (321321)^3 -- chiral
53 GW156-C126 hexagonal {6.7.8}4{6^2.7}17 1.46 (32222)^2, open (313131)^2,
open
achiral
54 HT191-C288 hexagonal {6.7^2}{6^2.7}5{6^3}2 1.137 -- -- achiral
55 G199-C336(P) cubic {6^2.7} 1.292 -- -- chiral
56 IWP204-C576 cubic {6^2.7}7{6^3} 1.197 (313131)^8 (313131)^8 achiral
57 CLP93-C168 tetragonal {6^2.7} 1.141 (3131)^4, (31313131)^2 -- achiral
58 CLP131-C216 tetragonal {6^2.7}7{6^3}2 1.017 (2222)^4, (22222222)^2 -- achiral
59 CLP131-C312 tetragonal {6^2.7}7{6^3}6 0.948 (2222)^4, (22222222)^2 -- achiral
60 CLP66-C912 orthorhombic {6^2.7}7{6^3}12 0.824 (2222)^4, (22222222)^2
achiral
61 CLP115-C408 tetragonal {6^2.7}7{6^3}10 0.831 (222222)^4, (2^12)^2
achiral
62 CLP51-C816 orthorhombic {6^2.7}7{6^3}10 0.828 (2222)^4, (22222222)^2
achiral
63 CLP47-C264 triclinic {6^2.7}7{6^3}4 1.002 (2222)^4, (22222222)^2
achiral

Neck configuration shows the number of atoms in each heptagon (or a different polygon) composing a neck (the narrowest place where chambers connect). Each neck atom has one bond to connect to the opposite chamber. For example, configuration (222)^4 means that three polygons with 2 atoms in each polygon will be used to connect chamber's neck with another chamber and there are four necks in that chamber as illustrated below.

net example
                                with neck configuration (222)^4





TPMS