Table 1.
oF_A | oF_B | oF_C | oF_D | oF_E | ||||||
---|---|---|---|---|---|---|---|---|---|---|
Method | δ | Δδ | δ | Δδ | δ | Δδ | δ | Δδ | δ | Δδ |
Cluster model [a] | ||||||||||
PBE | 218.7 | −14.3 | 245.0 | −79.3 | 215.1 | 4.6 | 261.5 | −38.6 | 370.5 | 7.7 |
BLYP | 226.5 | −14.6 | 253.4 | −81.8 | 222.5 | 4.1 | 270.9 | −40.2 | 381.5 | 7.9 |
B3LYP | 195.9 | 23.1 | 223.1 | −75.6 | 195.9 | 0.9 | 240.8 | −36.6 | 338.1 | 13.1 |
BHandHLYP | 165.8 | −21.3 | 190.7 | −68.3 | 162.6 | −1.2 | 209.9 | −35.8 | 288.5 | 18.3 |
BHandHLYP[b] | 145.8 | −20.5 | 175.0 | −61.8 | 143.2 | 0.9 | 189.4 | −31.6 | 262.0 | 14.4 |
BHandHLYP[c] | 174.9 | −11.6 | 192.3 | −71.2 | 171.3 | 6.7 | 216.7 | −31.6 | 292.0 | 31.1 |
Periodic model [d] | ||||||||||
PBE[e] | 195.1 | −28.1 | 272.1 | −66.4 | 238.7 | 7.0 | 288.8 | −26.2 | 362.1 | 23.1 |
PBE | 229.8 | −38.9 | 273.2 | −86.7 | 236.4 | −15.4 | 285.0 | −46.5 | 402.7 | 2.0 |
BLYP[f] | 237.3 | −39.1 | 281.5 | −89.3 | 243.6 | −15.9 | 294.3 | −48.1 | 413.6 | 2.1 |
B3LYP[f] | 206.3 | −48.0 | 250.8 | −82.9 | 216.7 | −19.3 | 263.8 | −44.5 | 369.5 | 7.5 |
BHandHLYP[f] | 175.6 | −46.3 | 217.7 | −75.4 | 182.6 | −21.5 | 232.3 | −43.6 | 318.8 | 12.7 |
BHandHLYP[g] | 236.2 | −82.4 | 243.7 | −46.8 | ||||||
BHandHLYP[h] | 237.8 | −85.4 | 250.5 | −42.6 | ||||||
Experimental | 256.0 | −47.5 |
[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 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].