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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYP/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 B3LYP/6-31G*
 hartrees
Energy at 0K-212.581750
Energy at 298.15K-212.593263
Nuclear repulsion energy189.756759
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/6-31G*
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' 3501 3362 2.12      
2 A' 3128 3004 66.63      
3 A' 3090 2968 14.75      
4 A' 3078 2956 42.15      
5 A' 2935 2818 151.79      
6 A' 1562 1500 0.75      
7 A' 1536 1475 2.61      
8 A' 1418 1362 4.25      
9 A' 1335 1282 0.92      
10 A' 1258 1208 1.16      
11 A' 1240 1191 6.83      
12 A' 1076 1033 0.98      
13 A' 1017 977 5.07      
14 A' 951 913 4.70      
15 A' 906 870 5.02      
16 A' 885 849 59.03      
17 A' 775 744 26.71      
18 A' 584 560 47.67      
19 A' 298 286 4.18      
20 A" 3108 2985 0.88      
21 A" 3083 2961 94.90      
22 A" 3071 2949 5.89      
23 A" 2929 2812 46.73      
24 A" 1543 1482 3.01      
25 A" 1516 1456 0.49      
26 A" 1456 1398 4.02      
27 A" 1344 1291 6.16      
28 A" 1322 1270 18.69      
29 A" 1261 1211 7.34      
30 A" 1212 1164 0.19      
31 A" 1146 1100 11.49      
32 A" 1117 1072 4.19      
33 A" 937 900 0.07      
34 A" 881 846 3.30      
35 A" 640 615 0.75      
36 A" 80 77 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 28609.9 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 27474.1 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/6-31G*
ABC
0.22830 0.22615 0.12945

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.531 -1.101 0.000
H2 0.404 -2.111 0.000
C3 -0.101 -0.470 1.161
C4 -0.101 -0.470 -1.161
C5 -0.101 1.026 0.779
C6 -0.101 1.026 -0.779
H7 -1.142 -0.812 1.325
H8 -1.142 -0.812 -1.325
H9 0.466 -0.680 2.075
H10 0.466 -0.680 -2.075
H11 0.798 1.518 1.161
H12 0.798 1.518 -1.161
H13 -0.966 1.548 1.200
H14 -0.966 1.548 -1.200

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01821.46521.46522.35142.35142.15312.15312.11832.11832.87722.87723.27063.2706
H21.01822.07352.07353.27163.27162.41532.41532.52142.52143.83073.83074.08754.0875
C31.46522.07352.32281.54372.44951.10752.71741.09573.29252.18133.18642.19553.2240
C41.46522.07352.32282.44951.54372.71741.10753.29251.09573.18642.18133.22402.1955
C52.35143.27161.54372.44951.55732.18162.98122.21663.37281.09412.19411.09442.2214
C62.35143.27162.44951.54371.55732.98122.18163.37282.21662.19411.09412.22141.0944
H72.15312.41531.10752.71742.18162.98122.65091.77833.76353.03603.92102.37013.4610
H82.15312.41532.71741.10752.98122.18162.65093.76351.77833.92103.03603.46102.3701
H92.11832.52141.09573.29252.21663.37281.77833.76354.15022.40353.92632.78954.2119
H102.11832.52143.29251.09573.37282.21663.76351.77834.15023.92632.40354.21192.7895
H112.87723.83072.18133.18641.09412.19413.03603.92102.40353.92632.32261.76472.9474
H122.87723.83073.18642.18132.19411.09413.92103.03603.92632.40352.32262.94741.7647
H133.27064.08752.19553.22401.09442.22142.37013.46102.78954.21191.76472.94742.3996
H143.27064.08753.22402.19552.22141.09443.46102.37014.21192.78952.94741.76472.3996

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.765 N1 C3 H7 112.901
N1 C3 H9 110.794 N1 C4 C6 102.765
N1 C4 H8 112.901 N1 C4 H10 110.794
H2 N1 C3 111.969 H2 N1 C4 111.969
C3 N1 C4 104.873 C3 C5 C6 104.357
C3 C5 H11 110.413 C3 C5 H13 111.519
C4 C6 C5 104.357 C4 C6 H12 110.413
C4 C6 H14 111.519 C5 C3 H7 109.657
C5 C3 H9 113.145 C5 C6 H12 110.473
C5 C6 H14 112.634 C6 C4 H8 109.657
C6 C4 H10 113.145 C6 C5 H11 110.473
C6 C5 H13 112.634 H7 C3 H9 107.639
H8 C4 H10 107.639 H11 C5 H13 107.475
H12 C6 H14 107.475
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.553 -0.029 -0.024 0.004
2 H 0.292 -0.012 0.010 0.015
3 C -0.127 0.230 0.326 0.140
4 C -0.127 -0.029 -0.024 0.004
5 C -0.271 -0.012 0.010 0.015
6 C -0.271 0.230 0.326 0.140
7 H 0.109 0.011 0.007 0.043
8 H 0.109 -0.016 0.002 0.019
9 H 0.137 0.010 0.011 -0.060
10 H 0.137 0.011 0.007 0.043
11 H 0.147 -0.016 0.002 0.019
12 H 0.147 0.010 0.011 -0.060
13 H 0.135 -0.719 -1.014 -0.639
14 H 0.135 0.331 0.340 0.314


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.918 -0.236 0.000 0.948
CHELPG 0.920 -0.261 0.000 0.956
AIM -0.369 -0.444 0.000 0.578
ESP 0.919 -0.237 0.000 0.949


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.989 0.834 0.000
y 0.834 -30.096 0.000
z 0.000 0.000 -31.424
Traceless
 xyz
x -3.229 0.834 0.000
y 0.834 2.610 0.000
z 0.000 0.000 0.619
Polar
3z2-r21.238
x2-y2-3.893
xy0.834
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.323 0.089 0.000
y 0.089 7.065 0.000
z 0.000 0.000 7.542


<r2> (average value of r2) Å2
<r2> 109.470
(<r2>)1/2 10.463