Table 1 Infrared-active vibrational frequencies (ν, in cm−1) of aragonite, subdivided into irreducible representations (IRREP).
IRREP | Mode | Theoretical | Experimental | ||||||
|---|---|---|---|---|---|---|---|---|---|
B3LYP-D3a | B3LYP-D*a | B3LYPb | B3LYPc | d | c | e | |||
B1u | L | 1 | 197.0 | 180.4 | 174.6 | 174.1 | 183.1 | ||
L | 2 | 232.7 | 213.6 | 202.5 | 210.1 | 207.8 | |||
L | 3 | 276.7 | 267.2 | 270.1 | 269.1 | 259.2 | |||
L | 4 | 309.9 | 291.0 | 291.9 | 288.9 | 286.9 | |||
ν4 | 5 | 726.8 | 719.3 | 714.3 | 719.2 | 715 | 718.3 | 717 | |
ν2 | 6 | 860.2 | 862.1 | 850.6 | 861.9 | 866 | 852.2 | 874 | |
ν1 | 7 | 1100.9 | 1091.6 | 1096.4 | 1092.9 | 1082.8 | |||
ν3 | 8 | 1491.0 | 1485.7 | 1488.6 | 1469.9 | ||||
B2u | L | 1 | 90.0 | 27.8 | 75.1 | 65.4 | 105.4 | ||
L | 2 | 175.9 | 163.0 | 158.9 | 158.7 | 164.2 | |||
L | 3 | 229.6 | 202.0 | 197.2 | 198.0 | 219.9 | |||
ν4 | 4 | 703.5 | 697.7 | 692.2 | 697.4 | 699.8 | |||
ν3 | 5 | 1461.3 | 1443.4 | 1471.9 | 1445.1 | 1430 | 1444.5 | 1475 | |
B3u | L | 1 | 155.0 | 152.5 | 144.4 | 147.3 | 144.4 | ||
L | 2 | 221.3 | 199.0 | 200.2 | 200.7 | 208.6 | |||
L | 3 | 274.4 | 248.7 | 244.4 | 245.5 | 249.5 | |||
L | 4 | 316.5 | 304.8 | 296.2 | 293.1 | 298 | |||
ν4 | 5 | 719.1 | 711.7 | 708.2 | 712.2 | 703 | 712.4 | 702 | |
ν2 | 6 | 917.6 | 915.2 | 914.7 | 913.1 | 908.8 | |||
ν1 | 7 | 1101.8 | 1092.5 | 1094.9 | 1092.9 | 1087 | 1082.8 | 1083 | |
ν3 | 8 | 1493.4 | 1486.7 | 1494.5 | 1474.1 | 1550 | 1466.6 | 1550 | |
|Δ|max | 26.8 | 20.1 | 27.9 | 21.9 | |||||
MD | 13.4 | 2.8 | 1.5 | 0.2 | |||||
MAD | 15.0 | 6.6 | 9.3 | 6.1 | |||||