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All results from a given calculation for C4H7NO (2-Pyrrolidinone)

using model chemistry: PBEPBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBE/6-31G**
 hartrees
Energy at 0K-286.291292
Energy at 298.15K-286.300563
Nuclear repulsion energy238.092322
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBEPBE/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3566 3517 22.15      
2 A 3079 3037 15.73      
3 A 3068 3026 15.20      
4 A 3020 2979 46.98      
5 A 3009 2967 10.00      
6 A 2999 2958 13.30      
7 A 2933 2893 68.18      
8 A 1790 1765 365.50      
9 A 1496 1475 3.49      
10 A 1459 1439 6.57      
11 A 1430 1411 3.36      
12 A 1402 1383 36.27      
13 A 1325 1307 9.53      
14 A 1298 1281 14.09      
15 A 1259 1242 28.12      
16 A 1225 1208 54.85      
17 A 1207 1191 15.84      
18 A 1173 1157 2.20      
19 A 1149 1134 3.38      
20 A 1063 1048 9.50      
21 A 1052 1037 5.22      
22 A 987 973 10.67      
23 A 906 894 0.20      
24 A 885 873 1.15      
25 A 869 857 3.36      
26 A 792 781 6.14      
27 A 675 666 7.18      
28 A 614 606 20.26      
29 A 549 541 41.32      
30 A 477 471 60.77      
31 A 450 444 8.63      
32 A 191 189 4.20      
33 A 141 139 0.97      

Unscaled Zero Point Vibrational Energy (zpe) 23768.3 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 23442.7 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at PBEPBE/6-31G**
ABC
0.23757 0.11339 0.08132

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.081 -1.098 -0.078
C2 0.910 0.004 -0.008
C3 -0.013 1.226 0.144
C4 -1.416 0.694 -0.195
C5 -1.331 -0.817 0.136
O6 2.137 -0.014 -0.042
H7 0.481 -2.032 -0.024
H8 0.062 1.572 1.190
H9 0.332 2.050 -0.498
H10 -2.227 1.192 0.357
H11 -1.614 0.819 -1.272
H12 -1.636 -1.019 1.184
H13 -1.971 -1.428 -0.522

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 O6 H7 H8 H9 H10 H11 H12 H13
N11.38112.33652.33841.45612.32471.01702.95583.18603.28072.82432.13232.1260
C21.38111.53862.43362.39161.22752.08052.14772.18193.37472.93852.99153.2589
C32.33651.53861.53812.43152.48853.29901.10491.09952.22512.17562.95893.3649
C42.33842.43361.53811.54953.62613.32552.20712.23231.10031.10242.20982.2181
C51.45612.39162.43151.54953.56482.18792.95923.37452.21072.17731.10931.1032
O62.32471.22752.48853.62613.56482.61042.88792.77974.54554.03464.09264.3717
H71.01702.08053.29903.32552.18792.61043.82574.11174.22773.75162.63992.5746
H82.95582.14771.10492.20712.95922.88793.82571.77502.46543.07203.09714.0081
H93.18602.18191.09952.23233.37452.77974.11171.77502.83102.42904.01444.1714
H103.28073.37472.22511.10032.21074.54554.22772.46542.83101.78002.43322.7753
H112.82432.93852.17561.10242.17734.03463.75163.07202.42901.78003.06752.3957
H122.13232.99152.95892.20981.10934.09262.63993.09714.01442.43323.06751.7864
H132.12603.25893.36492.21811.10324.37172.57464.00814.17142.77532.39571.7864

picture of 2-Pyrrolidinone state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 C3 106.179 N1 C2 O6 125.944
N1 C5 C4 102.114 N1 C5 H12 111.726
N1 C5 H13 111.597 C2 N1 C5 114.880
C2 N1 H7 119.584 C2 C3 C4 104.549
C2 C3 H8 107.536 C2 C3 H9 110.490
C3 C2 O6 127.869 C3 C4 C5 103.904
C3 C4 H10 113.968 C3 C4 H11 109.864
C4 C3 H8 112.208 C4 C3 H9 114.609
C4 C5 H12 111.357 C4 C5 H13 112.386
C5 N1 H7 123.455 C5 C4 H10 111.974
C5 C4 H11 109.221 H8 C3 H9 107.261
H10 C4 H11 107.826 H12 C5 H13 107.690
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.489      
2 C 0.531      
3 C -0.312      
4 C -0.253      
5 C -0.076      
6 O -0.475      
7 H 0.262      
8 H 0.148      
9 H 0.148      
10 H 0.125      
11 H 0.139      
12 H 0.124      
13 H 0.128      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -3.684 -0.706 0.341 3.766
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.692 -0.271 0.203
y -0.271 -31.028 -0.186
z 0.203 -0.186 -35.211
Traceless
 xyz
x -9.573 -0.271 0.203
y -0.271 7.924 -0.186
z 0.203 -0.186 1.648
Polar
3z2-r23.297
x2-y2-11.665
xy-0.271
xz0.203
yz-0.186


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.874 0.454 -0.106
y 0.454 7.709 0.053
z -0.106 0.053 5.617


<r2> (average value of r2) Å2
<r2> 147.305
(<r2>)1/2 12.137