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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYP/aug-cc-pVDZ

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/aug-cc-pVDZ
 hartrees
Energy at 0K-212.609914
Energy at 298.15K-212.621446
Nuclear repulsion energy189.543330
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/aug-cc-pVDZ
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' 3527 3423 0.08      
2 A' 3119 3027 62.42      
3 A' 3083 2992 7.64      
4 A' 3069 2978 46.12      
5 A' 2933 2846 154.10      
6 A' 1519 1474 0.56      
7 A' 1494 1449 5.24      
8 A' 1378 1337 1.46      
9 A' 1307 1269 1.25      
10 A' 1235 1198 1.44      
11 A' 1215 1179 5.39      
12 A' 1065 1034 0.43      
13 A' 998 968 1.99      
14 A' 940 912 6.25      
15 A' 903 876 1.37      
16 A' 867 841 48.65      
17 A' 765 743 27.58      
18 A' 577 560 49.83      
19 A' 292 283 3.86      
20 A" 3098 3006 1.83      
21 A" 3078 2987 79.52      
22 A" 3060 2969 14.84      
23 A" 2929 2842 52.44      
24 A" 1501 1456 0.21      
25 A" 1478 1434 0.80      
26 A" 1427 1385 8.31      
27 A" 1315 1276 7.24      
28 A" 1294 1255 12.50      
29 A" 1239 1203 5.01      
30 A" 1192 1157 0.36      
31 A" 1129 1096 13.06      
32 A" 1101 1068 2.06      
33 A" 932 904 0.18      
34 A" 870 844 2.72      
35 A" 640 621 0.90      
36 A" 91 89 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 28329.2 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 27490.7 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/aug-cc-pVDZ
ABC
0.22764 0.22593 0.12903

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.522 -1.107 0.000
H2 0.400 -2.116 0.000
C3 -0.100 -0.467 1.166
C4 -0.100 -0.467 -1.166
C5 -0.100 1.026 0.779
C6 -0.100 1.026 -0.779
H7 -1.140 -0.813 1.332
H8 -1.140 -0.813 -1.332
H9 0.476 -0.677 2.077
H10 0.476 -0.677 -2.077
H11 0.801 1.520 1.163
H12 0.801 1.520 -1.163
H13 -0.969 1.550 1.197
H14 -0.969 1.550 -1.197

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01651.46811.46812.35462.35462.15052.15052.12182.12182.88722.88723.27333.2733
H21.01652.08052.08053.27593.27592.41782.41782.52832.52833.83933.83934.09214.0921
C31.46812.08052.33171.54282.45181.10922.72771.09813.30042.18213.19172.19643.2257
C41.46812.08052.33172.45181.54282.72771.10923.30041.09813.19172.18213.22572.1964
C52.35463.27591.54282.45181.55722.18422.98642.21783.37461.09702.19701.09742.2207
C62.35463.27592.45181.54281.55722.98642.18423.37462.21782.19701.09702.22071.0974
H72.15052.41781.10922.72772.18422.98642.66351.78513.77523.03993.92922.37253.4647
H82.15052.41782.72771.10922.98642.18422.66353.77521.78513.92923.03993.46472.3725
H92.12182.52831.09813.30042.21783.37461.78513.77524.15452.40203.92902.79654.2148
H102.12182.52833.30041.09813.37462.21783.77521.78514.15453.92902.40204.21482.7965
H112.88723.83932.18213.19171.09702.19703.03993.92922.40203.92902.32691.77022.9502
H122.88723.83933.19172.18212.19701.09703.92923.03993.92902.40202.32692.95021.7702
H133.27334.09212.19643.22571.09742.22072.37253.46472.79654.21481.77022.95022.3936
H143.27334.09213.22572.19642.22071.09743.46472.37254.21482.79652.95021.77022.3936

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.868 N1 C3 H7 112.357
N1 C3 H9 110.723 N1 C4 C6 102.868
N1 C4 H8 112.357 N1 C4 H10 110.723
H2 N1 C3 112.451 H2 N1 C4 112.451
C3 N1 C4 105.141 C3 C5 C6 104.536
C3 C5 H11 110.368 C3 C5 H13 111.479
C4 C6 C5 104.536 C4 C6 H12 110.368
C4 C6 H14 111.479 C5 C3 H7 109.819
C5 C3 H9 113.160 C5 C6 H12 110.535
C5 C6 H14 112.401 C6 C4 H8 109.819
C6 C4 H10 113.160 C6 C5 H11 110.535
C6 C5 H13 112.401 H7 C3 H9 107.945
H8 C4 H10 107.945 H11 C5 H13 107.550
H12 C6 H14 107.550
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.303      
2 H -0.151      
3 C 1.177      
4 C 1.177      
5 C 0.891      
6 C 0.891      
7 H -0.489      
8 H -0.489      
9 H -0.484      
10 H -0.484      
11 H -0.455      
12 H -0.455      
13 H -0.413      
14 H -0.413      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.942 -0.198 0.000 0.962
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.902 0.892 0.000
y 0.892 -31.135 0.000
z 0.000 0.000 -32.333
Traceless
 xyz
x -3.168 0.892 0.000
y 0.892 2.483 0.000
z 0.000 0.000 0.685
Polar
3z2-r21.371
x2-y2-3.767
xy0.892
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.971 -0.155 0.000
y -0.155 8.773 0.000
z 0.000 0.000 9.214


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000