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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/6-31+G**
 hartrees
Energy at 0K-212.528430
Energy at 298.15K-212.539960
Nuclear repulsion energy190.274836
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 B3PW91/6-31+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' 3571 3428 0.45      
2 A' 3139 3013 54.28      
3 A' 3098 2974 8.31      
4 A' 3084 2961 46.79      
5 A' 2941 2823 165.39      
6 A' 1533 1472 0.60      
7 A' 1506 1446 5.98      
8 A' 1394 1339 1.37      
9 A' 1320 1267 2.06      
10 A' 1251 1201 1.22      
11 A' 1226 1177 6.73      
12 A' 1076 1033 0.41      
13 A' 1008 968 2.32      
14 A' 955 917 9.62      
15 A' 913 876 2.10      
16 A' 875 841 64.50      
17 A' 769 738 30.24      
18 A' 579 556 57.00      
19 A' 298 287 4.51      
20 A" 3119 2995 0.43      
21 A" 3093 2970 79.27      
22 A" 3075 2952 15.52      
23 A" 2937 2820 56.32      
24 A" 1513 1453 0.43      
25 A" 1485 1426 0.82      
26 A" 1439 1382 10.99      
27 A" 1326 1274 8.02      
28 A" 1309 1256 17.50      
29 A" 1247 1197 5.04      
30 A" 1205 1156 0.45      
31 A" 1145 1099 12.39      
32 A" 1112 1068 0.36      
33 A" 943 905 0.49      
34 A" 876 841 2.85      
35 A" 637 611 0.78      
36 A" 86 83 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 28540.1 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 27401.4 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 B3PW91/6-31+G**
ABC
0.22961 0.22752 0.13020

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.525 -1.098 0.000
H2 0.422 -2.108 0.000
C3 -0.101 -0.468 1.158
C4 -0.101 -0.468 -1.158
C5 -0.101 1.022 0.776
C6 -0.101 1.022 -0.776
H7 -1.140 -0.812 1.319
H8 -1.140 -0.812 -1.319
H9 0.467 -0.677 2.071
H10 0.467 -0.677 -2.071
H11 0.799 1.513 1.159
H12 0.799 1.513 -1.159
H13 -0.965 1.545 1.196
H14 -0.965 1.545 -1.196

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01501.45991.45992.34312.34312.14402.14402.11432.11432.87022.87023.26183.2618
H21.01502.07512.07513.26713.26712.42132.42132.51772.51773.82083.82084.08674.0867
C31.45992.07512.31691.53832.44151.10692.70901.09503.28582.17543.17852.19103.2161
C41.45992.07512.31692.44151.53832.70901.10693.28581.09503.17852.17543.21612.1910
C52.34313.26711.53832.44151.55162.17702.97212.21103.36391.09392.18941.09412.2156
C62.34313.26712.44151.53831.55162.97212.17703.36392.21102.18941.09392.21561.0941
H72.14402.42131.10692.70902.17702.97212.63871.77953.75463.03153.91242.36673.4516
H82.14402.42132.70901.10692.97212.17702.63873.75461.77953.91243.03153.45162.3667
H92.11432.51771.09503.28582.21103.36391.77953.75464.14232.39583.91692.78484.2030
H102.11432.51773.28581.09503.36392.21103.75461.77954.14233.91692.39584.20302.7848
H112.87023.82082.17543.17851.09392.18943.03153.91242.39583.91692.31811.76402.9424
H122.87023.82083.17852.17542.18941.09393.91243.03153.91692.39582.31812.94241.7640
H133.26184.08672.19103.21611.09412.21562.36673.45162.78484.20301.76402.94242.3924
H143.26184.08673.21612.19102.21561.09413.45162.36674.20302.78482.94241.76402.3924

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.770 N1 C3 H7 112.562
N1 C3 H9 110.891 N1 C4 C6 102.770
N1 C4 H8 112.562 N1 C4 H10 110.891
H2 N1 C3 112.722 H2 N1 C4 112.722
C3 N1 C4 105.034 C3 C5 C6 104.405
C3 C5 H11 110.334 C3 C5 H13 111.561
C4 C6 C5 104.405 C4 C6 H12 110.334
C4 C6 H14 111.561 C5 C3 H7 109.698
C5 C3 H9 113.127 C5 C6 H12 110.512
C5 C6 H14 112.597 C6 C4 H8 109.698
C6 C4 H10 113.127 C6 C5 H11 110.512
C6 C5 H13 112.597 H7 C3 H9 107.831
H8 C4 H10 107.831 H11 C5 H13 107.462
H12 C6 H14 107.462
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.362      
2 H 0.294      
3 C -0.317      
4 C -0.317      
5 C -0.263      
6 C -0.263      
7 H 0.136      
8 H 0.136      
9 H 0.153      
10 H 0.153      
11 H 0.168      
12 H 0.168      
13 H 0.158      
14 H 0.158      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.012 -0.209 0.000 1.033
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.722 0.890 0.000
y 0.890 -30.371 0.000
z 0.000 0.000 -31.636
Traceless
 xyz
x -3.719 0.890 0.000
y 0.890 2.808 0.000
z 0.000 0.000 0.911
Polar
3z2-r21.821
x2-y2-4.351
xy0.890
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 0.000 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 0.000


<r2> (average value of r2) Å2
<r2> 109.247
(<r2>)1/2 10.452