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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-212.288977
Energy at 298.15K-212.300361
HF Energy-212.288977
Nuclear repulsion energy189.293733
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 PBEPBEultrafine/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' 3416 3359 2.94      
2 A' 3070 3019 53.31      
3 A' 3026 2976 16.45      
4 A' 3013 2964 35.84      
5 A' 2855 2808 154.22      
6 A' 1506 1481 0.82      
7 A' 1483 1459 4.07      
8 A' 1367 1344 2.79      
9 A' 1289 1268 1.07      
10 A' 1217 1197 0.90      
11 A' 1200 1180 6.04      
12 A' 1055 1037 1.09      
13 A' 995 979 3.54      
14 A' 933 918 3.30      
15 A' 895 880 3.24      
16 A' 865 851 65.25      
17 A' 750 738 26.26      
18 A' 564 555 46.95      
19 A' 293 288 3.91      
20 A" 3050 3000 0.06      
21 A" 3018 2969 89.91      
22 A" 3008 2959 2.67      
23 A" 2848 2801 50.53      
24 A" 1487 1462 1.91      
25 A" 1464 1440 0.69      
26 A" 1403 1380 3.82      
27 A" 1295 1274 8.79      
28 A" 1272 1251 13.55      
29 A" 1217 1197 7.89      
30 A" 1170 1151 0.23      
31 A" 1111 1093 13.96      
32 A" 1086 1068 0.80      
33 A" 922 907 0.21      
34 A" 855 841 3.51      
35 A" 617 607 0.54      
36 A" 73 72 0.14      

Unscaled Zero Point Vibrational Energy (zpe) 27842.8 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 27383.4 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 PBEPBEultrafine/6-31G*
ABC
0.22756 0.22499 0.12940

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.530 -1.101 0.000
H2 0.419 -2.119 0.000
C3 -0.102 -0.471 1.163
C4 -0.102 -0.471 -1.163
C5 -0.102 1.027 0.780
C6 -0.102 1.027 -0.780
H7 -1.150 -0.812 1.337
H8 -1.150 -0.812 -1.337
H9 0.473 -0.679 2.082
H10 0.473 -0.679 -2.082
H11 0.804 1.522 1.166
H12 0.804 1.522 -1.166
H13 -0.973 1.552 1.204
H14 -0.973 1.552 -1.204

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.02361.46621.46622.35322.35322.16722.16722.12572.12572.88342.88343.27843.2784
H21.02362.08282.08283.28253.28252.44082.44082.53252.53253.84203.84204.10604.1060
C31.46622.08282.32661.54662.45381.11612.73281.10393.30282.18923.19632.20313.2336
C41.46622.08282.32662.45381.54662.73281.11613.30281.10393.19632.18923.23362.2031
C52.35323.28251.54662.45381.55992.18892.99392.22183.38131.10162.20231.10172.2294
C62.35323.28252.45381.54661.55992.99392.18893.38132.22182.20231.10162.22941.1017
H72.16722.44081.11612.73282.18892.99392.67451.79143.78793.04863.94062.37423.4752
H82.16722.44082.73281.11612.99392.18892.67453.78791.79143.94063.04863.47522.3742
H92.12572.53251.10393.30282.22183.38131.79143.78794.16492.40663.93712.79964.2270
H102.12572.53253.30281.10393.38132.22183.78791.79144.16493.93712.40664.22702.7996
H112.88343.84202.18923.19631.10162.20233.04863.94062.40663.93712.33121.77712.9617
H122.88343.84203.19632.18922.20231.10163.94063.04863.93712.40662.33122.96171.7771
H133.27844.10602.20313.23361.10172.22942.37423.47522.79964.22701.77712.96172.4081
H143.27844.10603.23362.20312.22941.10173.47522.37424.22702.79962.96171.77712.4081

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.683 N1 C3 H7 113.429
N1 C3 H9 110.813 N1 C4 C6 102.683
N1 C4 H8 113.429 N1 C4 H10 110.813
H2 N1 C3 112.334 H2 N1 C4 112.334
C3 N1 C4 105.012 C3 C5 C6 104.352
C3 C5 H11 110.391 C3 C5 H13 111.480
C4 C6 C5 104.352 C4 C6 H12 110.391
C4 C6 H14 111.480 C5 C3 H7 109.527
C5 C3 H9 112.851 C5 C6 H12 110.491
C5 C6 H14 112.639 C6 C4 H8 109.527
C6 C4 H10 112.851 C6 C5 H11 110.491
C6 C5 H13 112.639 H7 C3 H9 107.600
H8 C4 H10 107.600 H11 C5 H13 107.515
H12 C6 H14 107.515
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.523      
2 H 0.296      
3 C -0.171      
4 C -0.171      
5 C -0.299      
6 C -0.299      
7 H 0.122      
8 H 0.122      
9 H 0.151      
10 H 0.151      
11 H 0.161      
12 H 0.161      
13 H 0.149      
14 H 0.149      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.869 -0.272 0.000 0.911
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.973 0.732 0.002
y 0.732 -29.973 0.000
z 0.002 0.000 -31.403
Traceless
 xyz
x -3.285 0.732 0.002
y 0.732 2.715 0.000
z 0.002 0.000 0.571
Polar
3z2-r21.141
x2-y2-4.000
xy0.732
xz0.002
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.519 -0.108 0.000
y -0.108 7.284 -0.000
z 0.000 -0.000 7.795


<r2> (average value of r2) Å2
<r2> 109.727
(<r2>)1/2 10.475