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Table 5

Torsion-rotation parameters needed for the global fit of transitions involving vt = 0 torsional energy levels of HC18OOCH3 methyl formate.

nlma Operatorb Parameter HC18OOCH3c nlm Operator Parameter HC18OOCH3c

220 (1 − cos3γ) / 2 V3 391.56929 (646) 404  −P4 DJ 0.2097(211) × 10-7
F 5.49038d  −P2 DJK  −0.180042(857) × 10-5
211 Pγ Pa ρ 0.07977981(403) DK 0.532763(931) × 10-5
202 ARAM 0.56776348 (810) ) δJ  −0.2519(106) × 10-7
BRAM 0.30216119(677) ,( δK  −0.35754(981) × 10-7
CRAM 0.170313544(770) P2 (PaPb + PbPa) DabJ  −0.90979(301) × 10-6
(PaPb + PbPa) Dab  −0.16731097(526) DabK 0.144807(244) × 10-5
422 sin3γ(PbPc + PcPb) Dbc 0.0017299(105) 624 (1 − cos3γ)P2 k5J  −0.14491(670) × 10-6
k2 0.35429(548)   10-4 P 2 k2J  −0.28717(908) × 10-8
(1 − cos3γ) P2 F v  −0.00203120(379) 606 P 4 HJK 0.6870(113) × 10-11
(1 − cos3γ) k5 0.0140399(189) P 2 H KJ  −0.23719(718) × 10-10
(1 − cos3γ)(PaPb + PbPa) dab  −0.00613830(453) H K 0.68402(464) × 10-10
P 2 G V 0.118883(538)   10-4 2P4() h J 0.935(9) × 10-14
413 )} c 4 0.11880(160)   10-5 P2 () D abJK 0.5012(136) × 10-11
δ ab  −0.21412 (315)   10-5 P4 (PaPb + PbPa) D abJJ  −0.8718(390) × 10-12

Notes. 

(a)

Notation from Ilyushin et al. (2008); n = l + m, where n is the total order of the operator, l is the order of the torsional part and m is the order of the rotational part.

(b)

Notation from Ilyushin et al. (2008).  { A,B }  = AB + BA. The product of the parameter and operator from a given row yields the term actually used in the vibration-rotation-torsion Hamiltonian, except for F, ρ and ARAM, which occur in the Hamiltonian in the form .

(c)

Present work.

(c)

Value of the internal rotation constant F was kept fixed to the HCOOCH3 value from Carvajal et al. (2007).

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