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Table 3:

Rotational constants in the principal axis system (PAM), angles between the principal axis and the methyl top axis and internal rotation parameters upon isotopic substitution.
  HCOOCH3a HCOO13CH3b H13COOCH3c H13COOCH3d H13COOCH3d H13COOCH3d
  Global fit ( $v_{\rm t} = 0,1$) Global Fit ( $v_{\rm t} = 0$) Global Fit ( $v_{\rm t} = 0$) $v_{\rm t} = 0$ $v_{\rm t} = 1$ $v_{\rm t} = 2$
A(MHz) 19928.890(602) 19629.65(176) 19709.546(258) 19798.73249(43) 19917.3706(78) 20034.7(47)
B(MHz) 6952.169(585) 6804.42(171) 6909.555(225) 6864.74991(14) 6798.41624(91) 6748.99(76)
C(MHz) 5309.877(125) 5183.442(402) 5274.5475(189) 5262.53086(13) 5236.59430(30) 5213.360(21)
<(i,a)e 52.97 51.68 52.48      
$\theta_{\rm RAM}$f 24.83 23.68 24.54 21.8604(79) 22.201(11) 22.867(34)
$\rho$ 0.08427127(723) 0.0845207(106) 0.08407138(395) 0.084497(20) 0.086209(43) 0.08426(14)
F (cm-1) 5.49038(129) 5.69168218g 5.8039485g 5.954(1) 5.7704(3) 5.802(1)
$\sigma$h 1.43 1.08 0.67 0.86 0.99 1.07
N$^{\rm o}$ of transitions 4270 936 4954 4921 910 231
a Rotation-torsion parameters for the normal species HCOOCH3obtained in our work in the RAM-axis system, after transforming the RAM values for the A, B, C rotational parameters into PAM values following the procedure described in Carvajal et al. (2007). Note that Maeda et al. (2008a) also presents a fit for the normal species (but not including the same data set), using the ErHam procedure and fitting separately 5366 lines, 1228 lines and 213 lines belonging to $v_{\rm t} = 0$, 1 and 2 with unitless standard deviations of 1.11, 1.18 and 0.81 respectively. Accuracy of their line measurements is about 100 kHz. b Rotation-torsion parameters for 13C2-methyl formate from the present work transformed to the Principal Axis System. c Rotation-torsion parameters for 13C1-methyl formate from the present work transformed to the Principal Axis System. The parameters were obtained with RAM model from a fit of all $v_{\rm t} = 0$data presently available (4954 lines with 24 fitted parameters) in the literature and will be published soon. d Rotation-torsion parameters for 13C1-methyl formate from Maeda et al. (2008b) obtained separately for each torsional state studied, using the ErHam procedure. e Angle in degrees between the a-principal axis and the methyl top axis (i). f The angle $\theta_{\rm RAM}$ between the a-principal axis and the a-RAM axis is given in degrees and obtained from Eq. (1) from Carvajal et al. (2007), with the parameters $A^{\rm RAM}$, $B^{\rm RAM}$, $C^{\rm RAM}$, and $D_{\rm ab}$ of Table 2. g Fixed to the ab initio value. h Unitless standard deviation.

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