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

using model chemistry: PBEPBE/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 PBEPBE/6-31+G**
 hartrees
Energy at 0K-286.306064
Energy at 298.15K-286.315335
Nuclear repulsion energy237.952693
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/6-31+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 3560 3519 26.92      
2 A 3074 3039 12.86      
3 A 3063 3028 17.38      
4 A 3022 2987 41.14      
5 A 3005 2971 15.96      
6 A 2995 2961 12.43      
7 A 2937 2904 67.89      
8 A 1747 1727 480.93      
9 A 1486 1469 3.04      
10 A 1451 1435 9.19      
11 A 1422 1405 3.90      
12 A 1398 1382 34.31      
13 A 1321 1306 7.85      
14 A 1293 1278 12.35      
15 A 1257 1242 31.32      
16 A 1227 1213 63.85      
17 A 1205 1191 11.79      
18 A 1170 1157 1.87      
19 A 1147 1134 3.68      
20 A 1060 1048 8.80      
21 A 1049 1037 7.56      
22 A 984 973 12.24      
23 A 904 894 0.35      
24 A 883 873 0.95      
25 A 869 859 4.38      
26 A 792 783 4.70      
27 A 673 665 6.33      
28 A 613 606 16.58      
29 A 548 541 40.21      
30 A 475 470 64.20      
31 A 451 445 8.75      
32 A 191 189 4.07      
33 A 141 140 0.78      

Unscaled Zero Point Vibrational Energy (zpe) 23705.0 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 23434.8 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 PBEPBE/6-31+G**
ABC
0.23730 0.11332 0.08123

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.083 -1.100 -0.078
C2 0.907 0.003 -0.007
C3 -0.010 1.226 0.140
C4 -1.417 0.696 -0.192
C5 -1.333 -0.817 0.136
O6 2.138 -0.013 -0.040
H7 0.483 -2.035 -0.029
H8 0.070 1.578 1.185
H9 0.335 2.045 -0.508
H10 -2.224 1.194 0.368
H11 -1.623 0.824 -1.268
H12 -1.632 -1.021 1.184
H13 -1.970 -1.428 -0.525

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 O6 H7 H8 H9 H10 H11 H12 H13
N11.37902.33822.34231.45972.32561.01802.96073.18403.28322.83292.13052.1261
C21.37901.53562.43212.38981.23212.08172.14492.17853.37022.94292.98553.2547
C32.33821.53561.53992.43392.48713.30221.10531.09992.22522.17802.96133.3658
C42.34232.43211.53991.54983.62883.33032.21052.23391.10071.10292.21072.2198
C51.45972.38982.43391.54983.56782.19292.96713.37442.21122.17891.10891.1029
O62.32561.23212.48713.62883.56782.61282.88292.77634.54444.04394.09014.3721
H71.01802.08173.30223.33032.19292.61283.83314.11014.23163.76052.64012.5749
H82.96072.14491.10532.21052.96712.88293.83311.77652.46513.07403.10654.0153
H93.18402.17851.09992.23393.37442.77634.11011.77652.83492.42854.01654.1682
H103.28323.37022.22521.10072.21124.54444.23162.46512.83491.78122.43402.7816
H112.83292.94292.17801.10292.17894.04393.76053.07402.42851.78123.06902.3972
H122.13052.98552.96132.21071.10894.09012.64013.10654.01652.43403.06901.7895
H132.12613.25473.36582.21981.10294.37212.57494.01534.16822.78162.39721.7895

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 106.562 N1 C2 O6 125.821
N1 C5 C4 102.169 N1 C5 H12 111.347
N1 C5 H13 111.368 C2 N1 C5 114.646
C2 N1 H7 119.806 C2 C3 C4 104.514
C2 C3 H8 107.496 C2 C3 H9 110.403
C3 C2 O6 127.611 C3 C4 C5 103.949
C3 C4 H10 113.811 C3 C4 H11 109.893
C4 C3 H8 112.327 C4 C3 H9 114.576
C4 C5 H12 111.425 C4 C5 H13 112.517
C5 N1 H7 123.530 C5 C4 H10 111.963
C5 C4 H11 109.290 H8 C3 H9 107.329
H10 C4 H11 107.859 H12 C5 H13 108.010
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.292      
2 C 0.163      
3 C -0.160      
4 C -0.331      
5 C -0.286      
6 O -0.495      
7 H 0.309      
8 H 0.198      
9 H 0.196      
10 H 0.174      
11 H 0.188      
12 H 0.169      
13 H 0.168      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.234 -0.641 0.366 4.297
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -44.881 -0.206 0.205
y -0.206 -31.865 -0.217
z 0.205 -0.217 -36.221
Traceless
 xyz
x -10.838 -0.206 0.205
y -0.206 8.686 -0.217
z 0.205 -0.217 2.152
Polar
3z2-r24.304
x2-y2-13.016
xy-0.206
xz0.205
yz-0.217


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.242 0.463 -0.100
y 0.463 8.842 0.078
z -0.100 0.078 6.666


<r2> (average value of r2) Å2
<r2> 148.258
(<r2>)1/2 12.176