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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: TPSSh/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 TPSSh/6-31+G**
 hartrees
Energy at 0K-212.617212
Energy at 298.15K-212.628712
HF Energy-212.617212
Nuclear repulsion energy189.792668
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 TPSSh/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' 3518 3386 0.18      
2 A' 3126 3008 67.62      
3 A' 3091 2975 5.92      
4 A' 3074 2959 56.26      
5 A' 2931 2821 178.92      
6 A' 1545 1487 0.43      
7 A' 1520 1463 3.42      
8 A' 1395 1343 2.71      
9 A' 1321 1272 1.43      
10 A' 1248 1201 1.01      
11 A' 1225 1179 7.09      
12 A' 1066 1026 0.58      
13 A' 1001 963 3.52      
14 A' 941 906 5.77      
15 A' 901 867 2.59      
16 A' 873 841 66.88      
17 A' 765 736 30.87      
18 A' 570 548 50.29      
19 A' 295 284 4.43      
20 A" 3106 2989 2.79      
21 A" 3087 2971 83.15      
22 A" 3064 2949 21.65      
23 A" 2927 2817 55.04      
24 A" 1525 1468 1.41      
25 A" 1500 1444 0.53      
26 A" 1435 1381 7.31      
27 A" 1329 1280 5.38      
28 A" 1309 1260 16.85      
29 A" 1249 1202 6.67      
30 A" 1202 1157 0.35      
31 A" 1131 1088 11.43      
32 A" 1103 1062 3.52      
33 A" 933 898 0.28      
34 A" 870 838 3.21      
35 A" 626 603 0.87      
36 A" 87 84 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 28444.6 cm-1
Scaled (by 0.9625) Zero Point Vibrational Energy (zpe) 27377.9 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 TPSSh/6-31+G**
ABC
0.22819 0.22632 0.12969

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.526 -1.101 0.000
H2 0.426 -2.114 0.000
C3 -0.101 -0.469 1.164
C4 -0.101 -0.469 -1.164
C5 -0.101 1.025 0.779
C6 -0.101 1.025 -0.779
H7 -1.140 -0.813 1.330
H8 -1.140 -0.813 -1.330
H9 0.472 -0.675 2.074
H10 0.472 -0.675 -2.074
H11 0.798 1.516 1.161
H12 0.798 1.516 -1.161
H13 -0.967 1.547 1.197
H14 -0.967 1.547 -1.197

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01721.46581.46582.35012.35012.15102.15102.11832.11832.87622.87623.26763.2676
H21.01722.08262.08263.27693.27692.43132.43132.52462.52463.82883.82884.09584.0958
C31.46582.08262.32881.54362.45161.10652.72401.09473.29542.17943.18732.19483.2239
C41.46582.08262.32882.45161.54362.72401.10653.29541.09473.18732.17943.22392.1948
C52.35013.27691.54362.45161.55772.18252.98452.21323.37051.09372.19421.09392.2196
C62.35013.27692.45161.54361.55772.98452.18253.37052.21322.19421.09372.21961.0939
H72.15102.43131.10652.72402.18252.98452.66041.78033.76923.03473.92292.37073.4628
H82.15102.43132.72401.10652.98452.18252.66043.76921.78033.92293.03473.46282.3707
H92.11832.52461.09473.29542.21323.37051.78033.76924.14852.39583.92132.78894.2085
H102.11832.52463.29541.09473.37052.21323.76921.78034.14853.92132.39584.20852.7889
H112.87623.82882.17943.18731.09372.19423.03473.92292.39583.92132.32281.76582.9462
H122.87623.82883.18732.17942.19421.09373.92293.03473.92132.39582.32282.94621.7658
H133.26764.09582.19483.22391.09392.21962.37073.46282.78894.20851.76582.94622.3945
H143.26764.09583.22392.19482.21961.09393.46282.37074.20852.78892.94621.76582.3945

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.660 N1 C3 H7 112.733
N1 C3 H9 110.810 N1 C4 C6 102.660
N1 C4 H8 112.733 N1 C4 H10 110.810
H2 N1 C3 112.772 H2 N1 C4 112.772
C3 N1 C4 105.196 C3 C5 C6 104.465
C3 C5 H11 110.285 C3 C5 H13 111.500
C4 C6 C5 104.465 C4 C6 H12 110.285
C4 C6 H14 111.500 C5 C3 H7 109.781
C5 C3 H9 112.937 C5 C6 H12 110.475
C5 C6 H14 112.488 C6 C4 H8 109.781
C6 C4 H10 112.937 C6 C5 H11 110.475
C6 C5 H13 112.488 H7 C3 H9 107.950
H8 C4 H10 107.950 H11 C5 H13 107.647
H12 C6 H14 107.647
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.357      
2 H 0.292      
3 C -0.312      
4 C -0.312      
5 C -0.249      
6 C -0.249      
7 H 0.131      
8 H 0.131      
9 H 0.149      
10 H 0.149      
11 H 0.162      
12 H 0.162      
13 H 0.151      
14 H 0.151      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.028 -0.207 0.000 1.048
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 7.483 -0.129 0.000
y -0.129 8.044 0.000
z 0.000 0.000 8.509


<r2> (average value of r2) Å2
<r2> 109.716
(<r2>)1/2 10.475