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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G*
 hartrees
Energy at 0K-286.328559
Energy at 298.15K-286.338002
Nuclear repulsion energy240.072925
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/6-31G*
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 3671 3491 31.72      
2 A 3169 3014 15.62      
3 A 3158 3003 16.18      
4 A 3117 2964 44.00      
5 A 3100 2948 13.21      
6 A 3089 2938 11.88      
7 A 3034 2886 66.02      
8 A 1872 1780 437.18      
9 A 1562 1485 3.34      
10 A 1523 1449 9.34      
11 A 1494 1421 3.51      
12 A 1474 1402 49.73      
13 A 1392 1324 11.58      
14 A 1361 1294 19.11      
15 A 1328 1263 38.29      
16 A 1288 1225 59.76      
17 A 1262 1200 5.96      
18 A 1230 1170 1.61      
19 A 1201 1142 4.58      
20 A 1111 1057 10.03      
21 A 1102 1048 6.15      
22 A 1026 976 11.54      
23 A 944 898 0.32      
24 A 922 876 1.67      
25 A 908 863 3.29      
26 A 829 788 6.23      
27 A 702 668 9.71      
28 A 643 612 25.47      
29 A 572 544 48.49      
30 A 496 472 66.86      
31 A 470 447 10.69      
32 A 196 186 4.90      
33 A 145 138 1.02      

Unscaled Zero Point Vibrational Energy (zpe) 24695.1 cm-1
Scaled (by 0.951) Zero Point Vibrational Energy (zpe) 23485.0 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/6-31G*
ABC
0.24111 0.11546 0.08273

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.082 -1.091 -0.078
C2 0.905 -0.000 -0.010
C3 -0.007 1.217 0.140
C4 -1.407 0.692 -0.190
C5 -1.323 -0.811 0.135
O6 2.117 -0.013 -0.039
H7 0.477 -2.018 -0.023
H8 0.069 1.565 1.178
H9 0.334 2.030 -0.505
H10 -2.205 1.187 0.369
H11 -1.612 0.821 -1.257
H12 -1.624 -1.015 1.173
H13 -1.955 -1.415 -0.525

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 O6 H7 H8 H9 H10 H11 H12 H13
N11.36782.31972.32501.44802.30351.00952.93743.16013.25862.81332.11662.1104
C21.36781.52782.41972.37491.21302.06272.13472.16653.35012.92652.97013.2319
C32.31971.52781.53172.41782.46083.27501.09721.09222.21052.16472.94373.3414
C42.32502.41971.53171.53953.59723.30442.19332.21871.09301.09482.19452.2022
C51.44802.37492.41781.53953.53582.17282.94453.35072.19702.16441.10021.0951
O62.30351.21302.46083.59723.53582.59062.85752.75184.50434.01084.05834.3342
H71.00952.06273.27503.30442.17282.59063.80064.07944.19773.73472.61722.5555
H82.93742.13471.09722.19332.94452.85753.80061.76572.44263.05083.08573.9842
H93.16012.16651.09222.21873.35072.75184.07941.76572.81432.41133.99024.1362
H103.25863.35012.21051.09302.19704.50434.19772.44262.81431.76962.41532.7629
H112.81332.92652.16471.09482.16444.01083.73473.05082.41131.76963.04592.3776
H122.11662.97012.94372.19451.10024.05832.61723.08573.99022.41533.04591.7756
H132.11043.23193.34142.20221.09514.33422.55553.98424.13622.76292.37761.7756

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 106.337 N1 C2 O6 126.279
N1 C5 C4 102.161 N1 C5 H12 111.601
N1 C5 H13 111.417 C2 N1 C5 114.977
C2 N1 H7 119.617 C2 C3 C4 104.538
C2 C3 H8 107.696 C2 C3 H9 110.463
C3 C2 O6 127.372 C3 C4 C5 103.861
C3 C4 H10 113.694 C3 C4 H11 109.891
C4 C3 H8 112.034 C4 C3 H9 114.424
C4 C5 H12 111.390 C4 C5 H13 112.315
C5 N1 H7 123.307 C5 C4 H10 112.022
C5 C4 H11 109.334 H8 C3 H9 107.508
H10 C4 H11 107.960 H12 C5 H13 107.961
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.620      
2 C 0.610      
3 C -0.438      
4 C -0.357      
5 C -0.163      
6 O -0.513      
7 H 0.351      
8 H 0.201      
9 H 0.205      
10 H 0.181      
11 H 0.189      
12 H 0.173      
13 H 0.182      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -3.854 -0.667 0.373 3.929
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.966 -0.271 0.198
y -0.271 -30.889 -0.213
z 0.198 -0.213 -35.073
Traceless
 xyz
x -9.985 -0.271 0.198
y -0.271 8.131 -0.213
z 0.198 -0.213 1.854
Polar
3z2-r23.709
x2-y2-12.077
xy-0.271
xz0.198
yz-0.213


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.402 0.438 -0.094
y 0.438 7.266 0.050
z -0.094 0.050 5.428


<r2> (average value of r2) Å2
<r2> 145.220
(<r2>)1/2 12.051