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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYP/CEP-121G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/CEP-121G
 hartrees
Energy at 0K-37.857998
Energy at 298.15K-37.869415
Nuclear repulsion energy105.418113
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 B3LYP/CEP-121G
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' 3504 3415 4.49      
2 A' 3088 3010 114.86      
3 A' 3052 2974 7.80      
4 A' 3027 2950 76.41      
5 A' 2880 2807 213.60      
6 A' 1545 1506 0.49      
7 A' 1525 1486 5.84      
8 A' 1388 1352 1.28      
9 A' 1312 1279 2.03      
10 A' 1231 1200 0.25      
11 A' 1215 1184 5.90      
12 A' 1073 1046 0.53      
13 A' 995 970 2.85      
14 A' 933 910 6.51      
15 A' 888 865 1.24      
16 A' 827 806 27.05      
17 A' 728 709 54.13      
18 A' 543 529 116.29      
19 A' 266 259 4.92      
20 A" 3063 2985 10.96      
21 A" 3043 2966 95.66      
22 A" 3013 2936 32.33      
23 A" 2872 2799 75.11      
24 A" 1529 1490 0.39      
25 A" 1511 1472 1.30      
26 A" 1438 1402 4.80      
27 A" 1330 1296 0.05      
28 A" 1305 1272 29.65      
29 A" 1246 1214 6.74      
30 A" 1193 1163 0.09      
31 A" 1136 1108 14.40      
32 A" 1116 1087 5.16      
33 A" 930 906 0.75      
34 A" 874 851 3.44      
35 A" 639 622 1.28      
36 A" 66 64 0.17      

Unscaled Zero Point Vibrational Energy (zpe) 28162.6 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 27444.4 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 B3LYP/CEP-121G
ABC
0.22202 0.22127 0.12540

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.501 -1.127 0.000
H2 0.473 -2.147 0.000
C3 -0.099 -0.470 1.192
C4 -0.099 -0.470 -1.192
C5 -0.099 1.037 0.788
C6 -0.099 1.037 -0.788
H7 -1.138 -0.808 1.390
H8 -1.138 -0.808 -1.390
H9 0.499 -0.670 2.089
H10 0.499 -0.670 -2.089
H11 0.803 1.532 1.168
H12 0.803 1.532 -1.168
H13 -0.968 1.563 1.204
H14 -0.968 1.563 -1.204

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01971.48701.48702.38042.38042.17262.17262.13892.13892.92042.92043.29273.2927
H21.01972.13462.13463.32953.32952.51372.51372.55862.55863.87403.87404.15724.1572
C31.48702.13462.38341.56112.48841.11072.80331.09693.34112.19643.22362.21103.2599
C41.48702.13462.38342.48841.56112.80331.11073.34111.09693.22362.19643.25992.2110
C52.38043.32951.56112.48841.57552.20193.03772.22883.39871.09632.20961.09722.2355
C62.38043.32952.48841.56111.57553.03772.20193.39872.22882.20961.09632.23551.0972
H72.17262.51371.11072.80332.20193.03772.77961.78593.84773.04843.97312.38393.5179
H82.17262.51372.80331.11073.03772.20192.77963.84771.78593.97313.04843.51792.3839
H92.13892.55861.09693.34112.22883.39871.78593.84774.17882.40663.94372.81434.2405
H102.13892.55863.34111.09693.39872.22883.84771.78594.17883.94372.40664.24052.8143
H112.92043.87402.19643.22361.09632.20963.04843.97312.40663.94372.33591.77092.9598
H122.92043.87403.22362.19642.20961.09633.97313.04843.94372.40662.33592.95981.7709
H133.29274.15722.21103.25991.09722.23552.38393.51792.81434.24051.77092.95982.4078
H143.29274.15723.25992.21102.23551.09723.51792.38394.24052.81432.95981.77092.4078

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.670 N1 C3 H7 112.712
N1 C3 H9 110.838 N1 C4 C6 102.670
N1 C4 H8 112.712 N1 C4 H10 110.838
H2 N1 C3 115.496 H2 N1 C4 115.496
C3 N1 C4 106.531 C3 C5 C6 104.997
C3 C5 H11 110.256 C3 C5 H13 111.360
C4 C6 C5 104.997 C4 C6 H12 110.256
C4 C6 H14 111.360 C5 C3 H7 109.853
C5 C3 H9 112.806 C5 C6 H12 110.290
C5 C6 H14 112.288 C6 C4 H8 109.853
C6 C4 H10 112.806 C6 C5 H11 110.290
C6 C5 H13 112.288 H7 C3 H9 107.987
H8 C4 H10 107.987 H11 C5 H13 107.671
H12 C6 H14 107.671
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.348      
2 H 0.252      
3 C -0.217      
4 C -0.217      
5 C -0.245      
6 C -0.245      
7 H 0.107      
8 H 0.107      
9 H 0.138      
10 H 0.138      
11 H 0.141      
12 H 0.141      
13 H 0.124      
14 H 0.124      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.977 -0.275 0.000 1.015
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.833 0.741 0.000
y 0.741 -30.376 0.000
z 0.000 0.000 -31.787
Traceless
 xyz
x -3.751 0.741 0.000
y 0.741 2.934 0.000
z 0.000 0.000 0.817
Polar
3z2-r21.634
x2-y2-4.456
xy0.741
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.078 0.117 0.000
y 0.117 7.820 0.000
z 0.000 0.000 8.420


<r2> (average value of r2) Å2
<r2> 95.754
(<r2>)1/2 9.785