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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYP/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-212.659914
Energy at 298.15K-212.671443
Nuclear repulsion energy190.193722
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/6-311+G(3df,2p)
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' 3533 3417 0.30      
2 A' 3101 2998 58.20      
3 A' 3066 2965 12.17      
4 A' 3053 2953 38.12      
5 A' 2918 2822 147.97      
6 A' 1534 1484 0.75      
7 A' 1510 1460 5.33      
8 A' 1394 1348 1.22      
9 A' 1315 1272 1.36      
10 A' 1245 1204 1.72      
11 A' 1223 1183 5.23      
12 A' 1063 1028 0.61      
13 A' 999 966 2.27      
14 A' 939 908 6.92      
15 A' 897 867 1.51      
16 A' 863 835 47.12      
17 A' 763 738 30.25      
18 A' 579 559 52.30      
19 A' 292 283 3.82      
20 A" 3079 2977 1.70      
21 A" 3059 2958 86.91      
22 A" 3046 2945 6.71      
23 A" 2915 2819 49.14      
24 A" 1517 1467 0.13      
25 A" 1493 1444 0.94      
26 A" 1439 1392 8.28      
27 A" 1331 1287 0.50      
28 A" 1310 1266 19.24      
29 A" 1248 1207 5.21      
30 A" 1204 1165 0.08      
31 A" 1133 1096 10.75      
32 A" 1103 1067 5.71      
33 A" 928 898 0.19      
34 A" 873 844 3.13      
35 A" 641 620 0.88      
36 A" 91 88 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 28348.6 cm-1
Scaled (by 0.967) Zero Point Vibrational Energy (zpe) 27413.1 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/6-311+G(3df,2p)
ABC
0.22907 0.22737 0.12969

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311+G(3df,2p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.518 -1.105 0.000
H2 0.405 -2.111 0.000
C3 -0.099 -0.466 1.163
C4 -0.099 -0.466 -1.163
C5 -0.099 1.024 0.777
C6 -0.099 1.024 -0.777
H7 -1.133 -0.808 1.331
H8 -1.133 -0.808 -1.331
H9 0.472 -0.673 2.069
H10 0.472 -0.673 -2.069
H11 0.796 1.514 1.158
H12 0.796 1.514 -1.158
H13 -0.960 1.545 1.193
H14 -0.960 1.545 -1.193

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01231.46321.46322.34862.34862.14092.14092.11362.11362.87732.87733.26043.2604
H21.01232.07652.07653.26863.26862.41502.41502.52012.52013.82573.82574.08074.0807
C31.46322.07652.32591.53912.44601.10182.72131.09043.28812.17323.17942.18773.2153
C41.46322.07652.32592.44601.53912.72131.10183.28811.09043.17942.17323.21532.1877
C52.34863.26861.53912.44601.55382.17542.97802.20763.36181.08922.18731.08942.2126
C62.34863.26862.44601.53911.55382.97802.17543.36182.20762.18731.08922.21261.0894
H72.14092.41501.10182.72132.17542.97802.66201.77133.76173.02383.91252.36343.4553
H82.14092.41502.72131.10182.97802.17542.66203.76171.77133.91253.02383.45532.3634
H92.11362.52011.09043.28812.20763.36181.77133.76174.13712.39143.91142.78144.1965
H102.11362.52013.28811.09043.36182.20763.76171.77134.13713.91142.39144.19652.7814
H112.87733.82572.17323.17941.08922.18733.02383.91252.39143.91142.31561.75672.9348
H122.87733.82573.17942.17322.18731.08923.91253.02383.91142.39142.31562.93481.7567
H133.26044.08072.18773.21531.08942.21262.36343.45532.78144.19651.75672.93482.3869
H143.26044.08073.21532.18772.21261.08943.45532.36344.19652.78142.93481.75672.3869

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.905 N1 C3 H7 112.393
N1 C3 H9 110.882 N1 C4 C6 102.905
N1 C4 H8 112.393 N1 C4 H10 110.882
H2 N1 C3 112.764 H2 N1 C4 112.764
C3 N1 C4 105.271 C3 C5 C6 104.528
C3 C5 H11 110.382 C3 C5 H13 111.529
C4 C6 C5 104.528 C4 C6 H12 110.382
C4 C6 H14 111.529 C5 C3 H7 109.816
C5 C3 H9 113.084 C5 C6 H12 110.471
C5 C6 H14 112.481 C6 C4 H8 109.816
C6 C4 H10 113.084 C6 C5 H11 110.471
C6 C5 H13 112.481 H7 C3 H9 107.802
H8 C4 H10 107.802 H11 C5 H13 107.482
H12 C6 H14 107.482
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.873      
2 H 0.203      
3 C 0.010      
4 C 0.010      
5 C -0.233      
6 C -0.233      
7 H 0.139      
8 H 0.139      
9 H 0.133      
10 H 0.133      
11 H 0.146      
12 H 0.146      
13 H 0.141      
14 H 0.141      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.935 -0.199 0.000 0.956
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 7.724 -0.167 0.000
y -0.167 8.519 0.000
z 0.000 0.000 8.939


<r2> (average value of r2) Å2
<r2> 109.632
(<r2>)1/2 10.471