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Equilibrium Molecular Structure and Spectroscopic Parameters of Methyl Carbamate J. Demaison, A. G. Császár, V. Szalay, I. Kleiner, H. Møllendal
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GOALS OF THIS STUDY: -check predictive power of different ab initio methods for larger molecules of biological interest. -structure is planar or not? -Methyl carbamate (H 2 NC(O)OCH 3 ) : isomer of the simplest aminoacid, glycine (H 2 NCH 2 COOH). Biological effects and pharmaceutical applications. -possible detection in interstellar space : might be more abundant than glycine and rotational spectrum more intense (bigger dipole moment).
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-Previous works : Microwave 1) K-M. Marstokk and H. Møllendal, Acta Chem. Scand. 53 (1999) 79-84: a) Only one conformer found (syn conformation). b)Approximate values of the barrier to internal rotation of the methyl group, the 14 N quadrupole coupling constants and dipole moments. c) ab initio geometrical structure but no accurate centrifugal distortion constants.
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[2] Bakri, J. Demaison, I. Kleiner, L. Margulès, H. Møllendal, D. Petitprez, G. Wlodarczak, J. Mol. Spectrosc. 215 (2002) 312-316. -FT MW and millimeterwave: 415 A-type and 98 E type transitions in v t = 0 ground torsional state -Accurate values for 14 N quadrupole coupling constants and centrifugal distortion constants for v t =0. -Different ab initio methods (Gaussian 98) - syn conformation of methyl carbamate significantly more stable than the most stable isomer (Ip) of glycine HOWEVER! -Contrary to glycine, there is NO ACCURATE STRUCTURE available for methyl carbamate. -Need for a MORE COMPLETE EXPERIMENTAL WORK
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CAN WE CALCULATE SPECTROSCOPIC PARAMETERS AT REASONABLE COST FOR LARGER MOLECULES OF BIOLOGICAL INTEREST?
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Equilibrium B3LYP/VTZ values apparently closest to the Experimental ground states. Second best RHF/3-21G* (computation Less than 1 min!) BUT Equilibrium computed constants from ab initio ARE NOT ground state Values!!! Corrections from force field calculation using MP2/6-31G*: A e – A 0 = 82.1 MHz B e – B 0 = 39.6 C e – C 0 = 30.8 So the agreement with B3LYP values can be an accident… However: the force field correction MP2/6-31G* is also an approximation: -small amplitude vibrations (not true) -not the best method -ab initio structure are found to be non-planar…
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Observed and calculated vibrational frequencies for methyl carbamate. exp. HF/6-31G* B3LYP/VTZ Assignmentcm -1 e – c in %e – c in % a' species 1 NH 2 antisym stretch3551 0.1 2.6 2 NH 2 sym stretch3435 0.1 2.4 3 CH 3 antisym stretch2957 1.1 1.7 4 CH 3 sym stretch2874 1.1 2.3 5 C=O stretch1747 2.2 1.0 6 NH 2 bending1583 SCALING 0.9 SCALING 0.5 7 CH 3 antisym deform1460 FACTOR 1.0 FACTOR 0.6 8 CH 3 sym deform1369 6.8 5.4 9 C-N stretch1345 0.8929 a 1.1 0.975 b 1.7 10 OC-O stretch1195 0.7 0.8 11 NH 2 rock1108 1.3 1.4 12 CH 3 rock1075 0.1 1.5 13 H 3 C-O stretch880 0.8 3.7 14 C=O rock702 7.2 7.3 15 OCN deform52011.611.4 16 COC deform32011.9 8.2 a" species 17 CH 3 antisym stretch2998 0.6 1.3 18 CH 3 antisym deform1447 1.3 0.1 19 CH 3 rock1071 8.4 7.5 20 NH 2 wag793 1.1 3.4 21 C=O wag67324.124.7 22NH 2 inversion203 23? 24? a [Pople et al 1981]. b 0.965 for all CH stretchings and 0.975 for all others [Martin et al 1996].
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Observed and calculated quartic centrifugal distortion constants for methyl carbamate. Exp. (kHz) a Calc.B3LYP/ VTZ (I) b Torsion contr. c Calc. e c(II) (%) ∆j∆j 0.7794 (7)0.75740.00320.7606 2.4 ∆ jk 4.5326 (29)4.67000.56845.2385 15.6 ∆k∆k 8.9474 (22)3.90925.21179.1209 1.9 jj 0.2164 (3)0.20400.00160.2056 5.0 kk 2.4033 (33)2.17770.30572.4835 3.3 a For the A component of the internal rotation doublet. b "Unperturbed" constant. c Contribution of the internal rotation. Calculated with F = 167.26 GHz, s = 28, and a = 0.9137 [Hersbach].
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Computed and experimental dipole moment components of methyl carbamate.
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Observed and calculated 14 N nuclear quadrupole coupling constants for methyl carbamate Exp. (I) [Martskok Mollendal 1999] MHz Exp. (II). [Bakri et al 2002] MHzCalc. MHz e – c(II) (%) Calc. MHz e – c(II) (%) eQq aa 1.52 (27) 2.2833 (7)1.99 12.8 1.8518.9 eQq bb 3.51 (20) 2.0128 (8)1.82 9.5 1.6816.4 eQq cc -5.03 (33) -4.2961 (8)-3.81 11.3 -3.5417.7 HF/VTZB3LYP/AVTZ
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IS IT POSSIBLE TO CALCULATE ab initio AN ACCURATE TORSIONAL BARRIER AT A REASONABLE COST FOR METHYL CARBAMATE?
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Planarity of the C(O)NH 2 linkage: -The peptide linkage is generally assumed to have a planar structure due to the contribution of a resonance structure O - CX=N + HY, which induces a partial double bond character of the C–N bond. However, the contribution of each resonance structure can be changed with interactions with the environment. -non planarity of some peptide linkages attributed to a low potential methyl top barrier?
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Table 5. Structure of carbamic acid (distances in Å and angles in degree). CLEARLY NON PLANAR BUT the energy difference between planar and non planar is small: about 20-30 cm -1
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-ALL ab initio optimizations indicate that the amide group is non planar (difference between planar and non planar is 53 cm -1 CCSD(T)/V(T,D)Z in contradiction with experimental results ( c is zero) WHAT’s GOING ON? MC behaves like other molecules containing the amino group. small barrier between planar and non planar and the ground torsional state is above this barrier.
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Kydd and Rauk, J. Mol. Struct. 1981
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Brown, Godfrey, Kleibomer JMS 124, 34 1987 Acetamide JMS 440, 165 1998
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cyanamide vinylamine CH 2 CHNH 2 JMS 114, 257 1985 JMS 124, 21 1987
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CONCLUSIONS -ab initio methods can give us information. Different methods/basis set should be tried before conclusions. -near-planarity in methyl carbamate should be investigated further. Need for new experimental MW data (Kharkov) and FIR high resolution. This will also provide a line list for astrophysical purpose.
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propianamide
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Ground-state inertial defects ? For a molecule with a plane of symmetry and two out-of-plan H : = I 0 a +I 0 b -I 0 c = m HH d 2 HH – v d HH = 1.7737 Å - computed ground-state inertial defect (B3LYP/AVTZ) m HH d 2 HH = 3.1706 uÅ 2. exp = 3.247 uÅ 2 the vibrational contribution v = 0.076 uÅ 2. Such a small positive contribution is compatible with a planar structure but at the other hand the Computed G-S inertial defects for the planar and non planar forms are very close (3.171 and 3.245 uÅ 2 )
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