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HCOOH |
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Deuterium |
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Nuclear
Quadrupole Coupling Constants |
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in
trans Formic Acid |
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Deuterium nqcc's were measured in
HC(=O)OD by Ruben and Kukolich [1], and in DC(=O)OH and DC(=O)OD by Cazzoli, et al
[2]. An equilibrium structure was determined by Davis, et al
[3], and a semi-experimental equilibrium structure by Demaison et al.
[4]. |
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Calculations of the deuterium nqcc's
in these
were made on the equilibrium structures. In Table
1, calculated
and experimental deuterium nqcc's in HC(=O)OD are compared. In
Table
2, calculated and experimental deuterium nqcc's in DC(=O)OH are compared. In Tables 3
and 4, calculated
and experimental deuterium nqcc's in DC(=O)OD are compared.
Structure parameters
are given
in Table 5. |
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In Tables 1 - 4, RMS is the root
mean square difference between calculated and experimental diagonal
nqcc's
(percentage of the average of the magnitudes of the experimental
nqcc's).
RSD is the calibration residual standard deviation for the model for
calculation of the nqcc's. |
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Subscripts a,b,c refer to the
principal axes of the inertia tensor, subscripts x,y,z to the principal
axes of the nqcc tensor. The nqcc y-axis is chosen coincident
with the inertia c-axis, these are perpendicular to the plane of the
molecule. Ø (degrees) is the angle between its subscripted
parameters. ETA = (Xxx - Xyy)/Xzz. |
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Table 1. Deuterium nqcc's
in HC(=O)OD (kHz). Calculation was made on the re
[3] and rese [4] structures. |
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Calc/re |
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Calc/rese |
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Expt. [1] |
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OD |
Xaa |
- |
119.2 |
- |
122.2 |
- |
119.3(20) |
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Xbb |
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267.6 |
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273.5 |
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267.5(30) |
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Xcc |
- |
148.4 |
- |
151.3 |
- |
148.2(20) |
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|Xab| |
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25.6 |
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24.0 |
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RMS |
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0.2 (0.1 %) |
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4.3 (2.4 %) |
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RSD |
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1.1 (0.9 %) |
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1.1 (0.9 %) |
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Xxx |
- |
120.8 |
- |
123.7 |
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Xyy |
- |
148.4 |
- |
151.3 |
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Xzz |
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269.3 |
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275.0 |
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ETA |
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0.102 |
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0.100 |
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Øz,a |
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86.23 |
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86.53 |
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Øa,OD |
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84.85 |
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85.23 |
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Øz,OD |
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1.38 |
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1.30 |
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Table 2. Deuterium nqcc's
in DC(=O)OH (kHz). Calculation was made on the re
[3] and rese [4] structures. |
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Calc/re |
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Calc/rese |
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Expt [2]
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CD |
Xaa |
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- 86.0 |
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- 84.6 |
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- 80.0(13) * |
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Xbb |
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175.2 |
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173.4 |
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171.2(22) * |
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Xcc |
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- 89.2 |
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- 88.8 |
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- 91.2(22) * |
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|Xab| |
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6.8 |
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13.4 |
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RMS
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4.3 (3.8 %)
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3.2 (2.8 %)
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RSD |
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1.1 (0.9 %) |
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1.1 (0.9 %) |
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Xxx |
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- 86.1 |
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- 85.2 |
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Xyy |
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- 89.2 |
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- 88.8 |
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Xzz |
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175.4 |
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174.0 |
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ETA |
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0.018 |
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0.020 |
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Øz,a |
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88.51 |
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87.04 |
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Øa,CD |
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88.59 |
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86.70 |
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Øz,CD |
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0.07 |
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0.34 |
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* Calculated here from experimental 1.5Xaa = -0.1200(13) and (Xbb - Xcc)/4 = 0.06562(26) MHz.
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Table 3. Deuterium nqcc's
in DC(=O)OD (kHz). Calculation was made on the re
[3] and rese [4] structures. |
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Calc/re |
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Calc/rese |
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Expt. [2] |
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OD |
Xaa |
- |
119.4 |
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122.4 |
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123.5(24) |
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Xbb |
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267.9 |
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273.8 |
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267.9(18) |
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Xcc |
- |
148.4 |
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151.3 |
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144.4(18) |
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|Xab| |
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23.2 |
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22.2 |
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RMS |
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3.3 (1.8 %) |
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5.3 (2.9 %) |
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RSD |
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1.1 (0.9 %) |
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1.1 (0.9 %) |
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Xxx |
- |
120.8 |
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123.7 |
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Xyy |
- |
148.4 |
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151.3 |
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Xzz |
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269.3 |
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275.0 |
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ETA |
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0.102 |
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0.100 |
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Øz,a |
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86.58 |
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86.80 |
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Øa,OD |
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85.21 |
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85.50 |
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Øz,OD |
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1.38 |
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1.30 |
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Table 4. Deuterium nqcc's
in DC(=O)OD (kHz). Calculation was made on the re
[3] and rese [4] structures. |
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Calc/re |
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Calc/rese |
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Expt. [2] |
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CD |
Xaa |
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- 86.1 |
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- 85.2 |
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- 80.3(33) |
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Xbb |
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175.4 |
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174.0 |
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170.8(21) |
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Xcc |
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- 89.2 |
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- 88.8 |
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- 90.5(21) |
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|Xab| |
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2.1 |
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4.5 |
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RMS |
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4.3 (3.8 %) |
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3.5 (3.1 %) |
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RSD |
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1.1 (0.9 %) |
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1.1 (0.9 %) |
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Xxx |
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- 86.1 |
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- 85.2 |
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Xyy |
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- 89.2 |
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- 88.8 |
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Xzz |
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175.4 |
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174.0 |
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ETA |
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0.018 |
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0.020 |
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Øz,a |
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89.54 |
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89.00 |
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Øa,CD |
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89.46 |
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88.66 |
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Øz,CD |
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0.07 |
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0.34 |
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Table 5. Molecular
structure parameters, re [3] and rese
[4] (Å and degrees). |
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re [3] |
rese [4] |
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OH |
0.969 |
0.9662(1) |
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CH |
1.091 |
1.0920(1) |
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C=O |
1.201 |
1.1980(1) |
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CO |
1.340 |
1.3406(1) |
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OCO |
124.80 |
124.83(1) |
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HC=O |
123.26 |
125.04(1) |
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HCO |
111.94 |
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COH |
106.61 |
106.97(1) |
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[1] D.J.Ruben and S.G.Kukolich,
J.Chem.Phys. 60,100(1974); S.G.Kukolich, J.Chem.Phys.
51,358(1969). |
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[2] G.Cazzoli, C.Puzzarini,
S.Stopkowicz, and J.Gauss, Chem.Phys.Lett. 502,42(2011); Astro.Phys.J. Supp.Series 196(1)(2011).
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[3] R.Wellington Davis,
A.G.Robiette, and M.C.L.Gerry, J.Mol. Spectrosc. 81,93(1980). |
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[4] J.Demaison, M.Herman, and
J.Liévin, J.Chem.Phys. 126,164305(2007). |
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Benzoic Acid |
H2CO |
HOCl |
CF3COOH |
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Table of Contents |
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Molecules/Deuterium |
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HCOOD.html |
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Last
Modified 11 Dec 2010 |
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