return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C4H9N (Pyrrolidine)

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 CS 1A'
Energy calculated at PBEPBE/6-31+G**
 hartrees
Energy at 0K-212.312264
Energy at 298.15K-212.323687
Nuclear repulsion energy189.187125
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' 3460 3421 0.04      
2 A' 3065 3030 50.84      
3 A' 3023 2989 8.65      
4 A' 3010 2976 44.95      
5 A' 2852 2819 181.48      
6 A' 1482 1465 0.53      
7 A' 1458 1441 6.18      
8 A' 1344 1328 1.46      
9 A' 1274 1260 1.72      
10 A' 1206 1192 1.27      
11 A' 1183 1170 5.99      
12 A' 1044 1032 0.47      
13 A' 980 969 2.26      
14 A' 925 914 6.38      
15 A' 887 877 1.82      
16 A' 849 840 66.26      
17 A' 745 736 33.85      
18 A' 564 558 57.30      
19 A' 302 298 4.59      
20 A" 3045 3011 0.14      
21 A" 3019 2984 77.43      
22 A" 3002 2968 14.13      
23 A" 2848 2816 59.96      
24 A" 1462 1445 0.28      
25 A" 1438 1422 0.89      
26 A" 1387 1371 8.53      
27 A" 1279 1265 7.78      
28 A" 1260 1246 14.75      
29 A" 1204 1190 5.13      
30 A" 1160 1147 0.41      
31 A" 1103 1090 12.86      
32 A" 1076 1064 0.57      
33 A" 915 905 0.58      
34 A" 851 841 3.31      
35 A" 617 610 0.71      
36 A" 92 91 0.09      

Unscaled Zero Point Vibrational Energy (zpe) 27704.9 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 27389.1 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
0.22710 0.22490 0.12903

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.539 -1.099 0.000
H2 0.437 -2.118 0.000
C3 -0.103 -0.471 1.163
C4 -0.103 -0.471 -1.163
C5 -0.103 1.027 0.780
C6 -0.103 1.027 -0.780
H7 -1.153 -0.818 1.314
H8 -1.153 -0.818 -1.314
H9 0.461 -0.685 2.086
H10 0.461 -0.685 -2.086
H11 0.802 1.521 1.166
H12 0.802 1.521 -1.166
H13 -0.974 1.552 1.204
H14 -0.974 1.552 -1.204

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.02411.46951.46952.35432.35432.16092.16092.12792.12792.88052.88053.28183.2818
H21.02412.08762.08763.28553.28552.43852.43852.53102.53103.83943.83944.11274.1127
C31.46952.08762.32541.54602.45311.11632.71271.10293.30402.18833.19572.20313.2329
C41.46952.08762.32542.45311.54602.71271.11633.30401.10293.19572.18833.23292.2031
C52.35433.28551.54602.45311.56002.18932.98222.22583.38551.10172.20281.10192.2293
C62.35433.28552.45311.54601.56002.98222.18933.38552.22582.20281.10172.22931.1019
H72.16092.43851.11632.71272.18932.98222.62861.79453.76623.05293.93082.37993.4629
H82.16092.43852.71271.11632.98222.18932.62863.76621.79453.93083.05293.46292.3799
H92.12792.53101.10293.30402.22583.38551.79453.76624.17132.41423.94432.80074.2292
H102.12792.53103.30401.10293.38552.22583.76621.79454.17133.94432.41424.22922.8007
H112.88053.83942.18833.19571.10172.20283.05293.93082.41423.94432.33241.77752.9622
H122.88053.83943.19572.18832.20281.10173.93083.05293.94432.41422.33242.96221.7775
H133.28184.11272.20313.23291.10192.22932.37993.46292.80074.22921.77752.96222.4074
H143.28184.11273.23292.20312.22931.10193.46292.37994.22922.80072.96221.77752.4074

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.626 N1 C3 H7 112.662
N1 C3 H9 110.819 N1 C4 C6 102.626
N1 C4 H8 112.662 N1 C4 H10 110.819
H2 N1 C3 112.466 H2 N1 C4 112.466
C3 N1 C4 104.606 C3 C5 C6 104.332
C3 C5 H11 110.354 C3 C5 H13 111.509
C4 C6 C5 104.332 C4 C6 H12 110.354
C4 C6 H14 111.509 C5 C3 H7 109.581
C5 C3 H9 113.271 C5 C6 H12 110.519
C5 C6 H14 112.614 C6 C4 H8 109.581
C6 C4 H10 113.271 C6 C5 H11 110.519
C6 C5 H13 112.614 H7 C3 H9 107.915
H8 C4 H10 107.915 H11 C5 H13 107.539
H12 C6 H14 107.539
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 -0.330      
2 H 0.294      
3 C -0.364      
4 C -0.364      
5 C -0.267      
6 C -0.267      
7 H 0.148      
8 H 0.148      
9 H 0.159      
10 H 0.159      
11 H 0.176      
12 H 0.176      
13 H 0.166      
14 H 0.166      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.949 -0.233 0.000 0.977
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.903 -0.139 0.000
y -0.139 8.381 0.000
z 0.000 0.000 8.908


<r2> (average value of r2) Å2
<r2> 110.506
(<r2>)1/2 10.512