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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: PBE1PBE/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBE1PBE/6-31G*
 hartrees
Energy at 0K-212.326037
Energy at 298.15K-212.337580
HF Energy-212.326037
Nuclear repulsion energy190.720246
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 PBE1PBE/6-31G*
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' 3559 3382 0.83      
2 A' 3163 3005 51.96      
3 A' 3120 2965 11.37      
4 A' 3106 2952 39.28      
5 A' 2962 2815 141.26      
6 A' 1560 1482 0.95      
7 A' 1532 1456 4.75      
8 A' 1420 1350 1.94      
9 A' 1340 1274 1.67      
10 A' 1268 1205 0.94      
11 A' 1246 1185 7.77      
12 A' 1094 1040 0.55      
13 A' 1027 976 2.26      
14 A' 972 923 8.27      
15 A' 930 883 4.16      
16 A' 900 855 68.21      
17 A' 778 740 24.01      
18 A' 584 555 48.99      
19 A' 303 288 4.32      
20 A" 3143 2987 0.24      
21 A" 3114 2959 80.33      
22 A" 3099 2945 8.55      
23 A" 2958 2811 45.35      
24 A" 1539 1463 1.54      
25 A" 1509 1434 0.80      
26 A" 1462 1389 7.26      
27 A" 1347 1280 11.38      
28 A" 1325 1259 15.61      
29 A" 1265 1202 6.87      
30 A" 1219 1159 0.48      
31 A" 1164 1106 11.55      
32 A" 1127 1071 0.05      
33 A" 958 910 0.32      
34 A" 886 842 2.82      
35 A" 639 608 0.59      
36 A" 76 73 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 28846.7 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 27413.0 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 PBE1PBE/6-31G*
ABC
0.23101 0.22838 0.13116

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.535 -1.090 0.000
H2 0.421 -2.099 0.000
C3 -0.102 -0.469 1.151
C4 -0.102 -0.469 -1.151
C5 -0.102 1.019 0.774
C6 -0.102 1.019 -0.774
H7 -1.144 -0.813 1.305
H8 -1.144 -0.813 -1.305
H9 0.457 -0.679 2.070
H10 0.457 -0.679 -2.070
H11 0.798 1.509 1.157
H12 0.798 1.509 -1.157
H13 -0.966 1.542 1.197
H14 -0.966 1.542 -1.197

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01581.45561.45562.33582.33582.14442.14442.11162.11162.85672.85673.25793.2579
H21.01582.06382.06383.25583.25582.40962.40962.51042.51043.80783.80784.07624.0762
C31.45562.06382.30281.53522.43331.10732.68991.09553.27602.17263.16992.18873.2096
C41.45562.06382.30282.43331.53522.68991.10733.27601.09553.16992.17263.20962.1887
C52.33583.25581.53522.43331.54782.17332.96012.20843.35921.09392.18581.09412.2139
C62.33583.25582.43331.53521.54782.96012.17333.35922.20842.18581.09392.21391.0941
H72.14442.40961.10732.68992.17332.96012.60971.77873.73723.03003.90112.36413.4402
H82.14442.40962.68991.10732.96012.17332.60973.73721.77873.90113.03003.44022.3641
H92.11162.51041.09553.27602.20843.35921.77873.73724.13952.39513.91332.77834.1984
H102.11162.51043.27601.09553.35922.20843.73721.77874.13953.91332.39514.19842.7783
H112.85673.80782.17263.16991.09392.18583.03003.90112.39513.91332.31361.76432.9411
H122.85673.80783.16992.17262.18581.09393.90113.03003.91332.39512.31362.94111.7643
H133.25794.07622.18873.20961.09412.21392.36413.44022.77834.19841.76432.94112.3933
H143.25794.07623.20962.18872.21391.09413.44022.36414.19842.77832.94111.76432.3933

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.674 N1 C3 H7 112.885
N1 C3 H9 110.944 N1 C4 C6 102.674
N1 C4 H8 112.885 N1 C4 H10 110.944
H2 N1 C3 112.021 H2 N1 C4 112.021
C3 N1 C4 104.562 C3 C5 C6 104.234
C3 C5 H11 110.332 C3 C5 H13 111.599
C4 C6 C5 104.234 C4 C6 H12 110.332
C4 C6 H14 111.599 C5 C3 H7 109.594
C5 C3 H9 113.106 C5 C6 H12 110.489
C5 C6 H14 112.730 C6 C4 H8 109.594
C6 C4 H10 113.106 C6 C5 H11 110.489
C6 C5 H13 112.730 H7 C3 H9 107.691
H8 C4 H10 107.691 H11 C5 H13 107.483
H12 C6 H14 107.483
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.579      
2 H 0.318      
3 C -0.188      
4 C -0.188      
5 C -0.338      
6 C -0.338      
7 H 0.139      
8 H 0.139      
9 H 0.170      
10 H 0.170      
11 H 0.180      
12 H 0.180      
13 H 0.168      
14 H 0.168      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.934 -0.266 0.000 0.972
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.838 0.790 0.000
y 0.790 -29.838 0.000
z 0.000 0.000 -31.179
Traceless
 xyz
x -3.329 0.790 0.000
y 0.790 2.671 0.000
z 0.000 0.000 0.659
Polar
3z2-r21.317
x2-y2-4.000
xy0.790
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.308 -0.082 0.000
y -0.082 7.005 0.000
z 0.000 0.000 7.482


<r2> (average value of r2) Å2
<r2> 108.348
(<r2>)1/2 10.409