Table 2.
mF_A | mF_B | mF_C | mF_D | mF_E | mF_F | mF_G | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Method | δ | Δδ | δ | Δδ | δ | Δδ | δ | Δδ | δ | Δδ | δ | Δδ | δ | Δδ |
Cluster model [a] | ||||||||||||||
PBE | 259.6 | 219.9 | 272.1 | 188.5 | 216.5 | 198.5 | 256.3 | 146.6 | 256.7 | 187.1 | 297.6 | 187.9 | 316.1 | 220.4 |
BLYP | 264.8 | 222.0 | 278.7 | 189.5 | 224.1 | 201.3 | 262.7 | 147.5 | 262.0 | 189.1 | 305.4 | 189.3 | 323.3 | 222.1 |
B3LYP | 236.9 | 197.2 | 240.0 | 172.1 | 193.6 | 182.4 | 225.6 | 135.5 | 233.0 | 167.1 | 265.1 | 173.8 | 282.1 | 204.0 |
BHandHLYP | 204.6 | 174.7 | 202.4 | 166.9 | 167.5 | 159.2 | 189.8 | 127.8 | 198.4 | 141.9 | 227.2 | 161.4 | 240.9 | 188.1 |
BHandHLYP[b] | 182.3 | 165.8 | 189.8 | 159.5 | 152.2 | 147.7 | 176.7 | 122.6 | 177.1 | 135.1 | 210.6 | 153.5 | 223.9 | 179.9 |
BHandHLYP[c] | 211.2 | 176.3 | 197.4 | 162.1 | 170.1 | 156.2 | 186.4 | 124.6 | 204.7 | 139.0 | 224.0 | 157.0 | 237.2 | 182.1 |
Periodic model [d] | ||||||||||||||
PBE[e] | 239.7 | 213.1 | 428.8 | 226.8 | 198.7 | 162.1 | 343.8 | 166.0 | 193.2 | 156.9 | 436.1 | 194.5 | 467.0 | 225.7 |
PBE | 270.6 | 226.7 | 295.2 | 216.0 | 229.2 | 224.8 | 271.4 | 163.4 | 272.9 | 192.4 | 314.1 | 203.7 | 337.2 | 242.9 |
BLYP[f] | 275.5 | 228.9 | 301.6 | 217.0 | 236.7 | 227.6 | 277.7 | 164.3 | 277.9 | 194.4 | 321.7 | 205.1 | 344.2 | 244.5 |
B3LYP[f] | 247.3 | 203.4 | 262.3 | 199.3 | 205.7 | 208.3 | 240.0 | 152.0 | 248.6 | 171.8 | 280.7 | 189.4 | 302.3 | 226.1 |
BHandHLYP[f] | 214.2 | 180.2 | 223.8 | 194.1 | 179.1 | 184.5 | 203.3 | 144.2 | 213.1 | 145.9 | 241.9 | 176.7 | 260.1 | 209.9 |
BHandHLYP[g] | 229.3 | 187.3 | 229.7 | 200.4 | 227.4 | 152.3 | 250.2 | 191.2 | ||||||
BHandHLYP[h] | 235.9 | 188.9 | 224.7 | 195.6 | 233.8 | 149.4 | 247.0 | 186.7 | ||||||
Experimental | 228.5 | 183.3 |
[a] Scalar relativistic SR‐ZORA calculations of a cluster model of one clathrate cavity with ADF code73, 74 using Xe/other=jcpl/TZP basis sets.76 129Xe chemical shift (δ=σXe−atom−σ) with respect to free Xe atom shielding values (σXe−atom): PBE/BLYP/B3LYP/BHandHLYP=5752.2/5752.6/5752.1/5752.0 ppm. Δδ (CSA) defined in principal axis system (PAS) along the unique axis (perpendicular to the plane of O−H rings). Asymmetry parameter η=0 in all cavities due to the cylindrical symmetry. [b] As footnote [a], but at nonrelativistic (NR) level of theory with σXe−atom(BHandHLYP)=5643.4 ppm. [c] As footnote [a], but at relativistic spin‐orbit SO‐ZORA level of theory with σXe−atom(BHandHLYP)=6609.3 ppm. [d] Scalar relativistic GIPAW results obtained with CASTEP code.71, 72 All periodic 129Xe chemical shifts referenced to CASTEP/PBE value: σXe−atom=5926.3 ppm. [e] In the CSP optimized crystal geometry. [f] As footnote [d], but estimated by scaling GIPAW/PBE PAS components with factors obtained at SR‐ZORA level for cluster model resulting in data in footnote [a]. [g] Correction added to result of footnote [f] due to thermal averaging (AVE) over Xe motion at T=300 K by MC‐NVT simulation (see text for details). [h] Relativistic spin‐orbit (SO) corrections obtained as difference of SO‐ZORA and SR‐ZORA calculations with ADF code added to result of footnote [g].