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

using model chemistry: HSEh1PBE/3-21G

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/3-21G
 hartrees
Energy at 0K-284.757917
Energy at 298.15K-284.767481
HF Energy-284.757917
Nuclear repulsion energy238.536319
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/3-21G
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 3628 3494 34.40      
2 A 3183 3066 9.32      
3 A 3171 3054 12.47      
4 A 3126 3012 33.22      
5 A 3108 2994 10.06      
6 A 3091 2978 7.80      
7 A 3047 2935 52.99      
8 A 1819 1752 320.80      
9 A 1577 1519 2.55      
10 A 1542 1486 9.03      
11 A 1515 1460 8.41      
12 A 1460 1407 22.37      
13 A 1391 1339 5.39      
14 A 1372 1322 5.50      
15 A 1338 1289 1.89      
16 A 1296 1248 36.08      
17 A 1258 1212 103.49      
18 A 1235 1190 8.80      
19 A 1215 1171 5.05      
20 A 1122 1081 2.19      
21 A 1085 1045 13.84      
22 A 1015 978 19.17      
23 A 938 903 1.25      
24 A 927 893 3.08      
25 A 904 871 3.78      
26 A 820 790 8.80      
27 A 698 672 21.04      
28 A 674 649 62.84      
29 A 599 577 55.07      
30 A 519 500 42.22      
31 A 464 447 8.28      
32 A 213 206 1.67      
33 A 157 152 0.42      

Unscaled Zero Point Vibrational Energy (zpe) 24752.2 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 23843.8 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/3-21G
ABC
0.23859 0.11348 0.08176

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.083 -1.097 -0.066
C2 0.913 -0.001 -0.013
C3 -0.010 1.219 0.148
C4 -1.416 0.698 -0.197
C5 -1.339 -0.815 0.132
O6 2.139 -0.011 -0.043
H7 0.471 -2.032 -0.030
H8 0.052 1.558 1.191
H9 0.330 2.033 -0.495
H10 -2.213 1.196 0.360
H11 -1.602 0.826 -1.268
H12 -1.656 -1.007 1.168
H13 -1.969 -1.409 -0.539

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 O6 H7 H8 H9 H10 H11 H12 H13
N11.37632.32842.34211.46342.32611.01242.93793.16963.27282.82522.13392.1284
C21.37631.53842.43842.39961.22662.07872.14962.17023.36812.92983.00103.2503
C32.32841.53841.53902.43062.48343.29141.09801.09172.21372.16692.95063.3493
C42.34212.43841.53901.55003.62833.32222.19552.21861.09241.09492.19652.2047
C51.46342.39962.43061.55003.57492.18692.94803.36082.20442.17271.10011.0947
O62.32611.22662.48343.62833.57492.62132.88782.76654.53444.02454.10654.3678
H71.01242.07873.29143.32222.18692.62133.81514.09404.21563.74072.64722.5685
H82.93792.14961.09802.19552.94802.88783.81511.77352.43973.05233.08193.9848
H93.16962.17021.09172.21863.36082.76654.09401.77352.81112.40593.99424.1396
H103.27283.36812.21371.09242.20444.53444.21562.43972.81111.77792.41132.7662
H112.82522.92982.16691.09492.17274.02453.74073.05232.40591.77793.04862.3790
H122.13393.00102.95062.19651.10014.10652.64723.08193.99422.41133.04861.7810
H132.12843.25033.34932.20471.09474.36782.56853.98484.13962.76622.37901.7810

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 105.909 N1 C2 O6 126.573
N1 C5 C4 101.977 N1 C5 H12 111.914
N1 C5 H13 111.812 C2 N1 C5 115.310
C2 N1 H7 120.204 C2 C3 C4 104.819
C2 C3 H8 108.086 C2 C3 H9 110.048
C3 C2 O6 127.476 C3 C4 C5 103.789
C3 C4 H10 113.459 C3 C4 H11 109.557
C4 C3 H8 111.636 C4 C3 H9 113.909
C4 C5 H12 110.816 C4 C5 H13 111.791
C5 N1 H7 123.049 C5 C4 H10 111.903
C5 C4 H11 109.258 H8 C3 H9 108.180
H10 C4 H11 108.743 H12 C5 H13 108.479
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.716      
2 C 0.678      
3 C -0.535      
4 C -0.458      
5 C -0.226      
6 O -0.517      
7 H 0.337      
8 H 0.253      
9 H 0.254      
10 H 0.229      
11 H 0.241      
12 H 0.226      
13 H 0.233      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -3.810 -0.754 0.282 3.894
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.896 -0.198 0.266
y -0.198 -31.067 0.160
z 0.266 0.160 -35.376
Traceless
 xyz
x -9.674 -0.198 0.266
y -0.198 8.069 0.160
z 0.266 0.160 1.605
Polar
3z2-r23.210
x2-y2-11.829
xy-0.198
xz0.266
yz0.160


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.870 0.457 -0.162
y 0.457 6.710 0.075
z -0.162 0.075 4.906


<r2> (average value of r2) Å2
<r2> 146.788
(<r2>)1/2 12.116