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

using model chemistry: HSEh1PBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at HSEh1PBE/6-31+G**
 hartrees
Energy at 0K-286.351153
Energy at 298.15K-286.360604
HF Energy-286.351153
Nuclear repulsion energy240.033228
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 HSEh1PBE/6-31+G**
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 3685 3518 39.59      
2 A 3164 3021 11.17      
3 A 3151 3008 17.52      
4 A 3113 2972 36.57      
5 A 3092 2952 17.57      
6 A 3084 2944 10.89      
7 A 3030 2893 64.52      
8 A 1832 1749 544.82      
9 A 1538 1469 3.75      
10 A 1501 1433 13.48      
11 A 1470 1404 7.53      
12 A 1461 1395 46.46      
13 A 1379 1317 10.11      
14 A 1347 1286 21.05      
15 A 1317 1257 45.68      
16 A 1280 1222 55.20      
17 A 1252 1195 4.52      
18 A 1220 1165 1.72      
19 A 1190 1136 4.38      
20 A 1102 1052 11.62      
21 A 1091 1042 5.11      
22 A 1020 973 12.24      
23 A 938 896 0.45      
24 A 915 873 1.46      
25 A 904 863 3.94      
26 A 825 788 4.84      
27 A 699 667 7.89      
28 A 641 612 20.43      
29 A 569 543 44.82      
30 A 492 469 66.99      
31 A 470 449 10.86      
32 A 197 188 4.34      
33 A 147 140 0.79      

Unscaled Zero Point Vibrational Energy (zpe) 24556.9 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 23446.9 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 HSEh1PBE/6-31+G**
ABC
0.24102 0.11548 0.08271

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.083 -1.093 -0.078
C2 0.902 -0.000 -0.008
C3 -0.006 1.217 0.139
C4 -1.408 0.692 -0.189
C5 -1.323 -0.811 0.134
O6 2.117 -0.012 -0.040
H7 0.479 -2.019 -0.025
H8 0.074 1.565 1.176
H9 0.336 2.028 -0.508
H10 -2.203 1.188 0.372
H11 -1.615 0.823 -1.255
H12 -1.621 -1.015 1.172
H13 -1.954 -1.414 -0.526

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 O6 H7 H8 H9 H10 H11 H12 H13
N11.36702.32182.32791.44952.30331.00912.93823.16023.26042.81732.11502.1106
C21.36701.52612.41772.37231.21542.06292.13022.16423.34642.92672.96503.2288
C32.32181.52611.53202.41842.45983.27691.09671.09172.20962.16492.94323.3410
C42.32792.41771.53201.53963.59713.30712.19472.21951.09251.09462.19392.2021
C51.44952.37232.41841.53963.53572.17532.94623.35022.19722.16431.09961.0944
O62.30331.21542.45983.59713.53572.59082.85292.74824.50254.01234.05584.3331
H71.00912.06293.27693.30712.17532.59083.80154.07854.19983.73822.61762.5568
H82.93822.13021.09672.19472.94622.85293.80151.76572.44353.05153.08703.9852
H93.16022.16421.09172.21953.35022.74824.07851.76572.81532.41173.98944.1345
H103.26043.34642.20961.09252.19724.50254.19982.44352.81531.76902.41532.7642
H112.81732.92672.16491.09462.16434.01233.73823.05152.41171.76903.04512.3773
H122.11502.96502.94322.19391.09964.05582.61763.08703.98942.41533.04511.7760
H132.11063.22883.34102.20211.09444.33312.55683.98524.13452.76422.37731.7760

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 106.621 N1 C2 O6 126.140
N1 C5 C4 102.257 N1 C5 H12 111.402
N1 C5 H13 111.368 C2 N1 C5 114.739
C2 N1 H7 119.748 C2 C3 C4 104.484
C2 C3 H8 107.493 C2 C3 H9 110.431
C3 C2 O6 127.232 C3 C4 C5 103.875
C3 C4 H10 113.624 C3 C4 H11 109.902
C4 C3 H8 112.153 C4 C3 H9 114.497
C4 C5 H12 111.371 C4 C5 H13 112.343
C5 N1 H7 123.455 C5 C4 H10 112.065
C5 C4 H11 109.334 H8 C3 H9 107.580
H10 C4 H11 107.964 H12 C5 H13 108.092
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.354      
2 C 0.224      
3 C -0.156      
4 C -0.329      
5 C -0.256      
6 O -0.535      
7 H 0.322      
8 H 0.198      
9 H 0.197      
10 H 0.173      
11 H 0.185      
12 H 0.165      
13 H 0.166      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.328 -0.599 0.385 4.386
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -44.700 -0.218 0.213
y -0.218 -31.462 -0.215
z 0.213 -0.215 -35.839
Traceless
 xyz
x -11.050 -0.218 0.213
y -0.218 8.808 -0.215
z 0.213 -0.215 2.242
Polar
3z2-r24.484
x2-y2-13.238
xy-0.218
xz0.213
yz-0.215


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.582 0.442 -0.088
y 0.442 8.208 0.064
z -0.088 0.064 6.355


<r2> (average value of r2) Å2
<r2> 145.870
(<r2>)1/2 12.078