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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: HSEh1PBE/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HSEh1PBE/cc-pVTZ
 hartrees
Energy at 0K-212.417920
Energy at 298.15K-212.429486
HF Energy-212.417920
Nuclear repulsion energy191.139974
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 HSEh1PBE/cc-pVTZ
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' 3568 3429 0.24      
2 A' 3133 3011 53.36      
3 A' 3093 2973 14.27      
4 A' 3080 2960 36.48      
5 A' 2940 2825 144.69      
6 A' 1529 1469 0.88      
7 A' 1501 1442 6.22      
8 A' 1398 1344 0.80      
9 A' 1319 1268 1.68      
10 A' 1251 1203 1.61      
11 A' 1229 1181 7.08      
12 A' 1080 1038 0.33      
13 A' 1012 973 1.29      
14 A' 959 921 7.91      
15 A' 921 885 1.71      
16 A' 882 848 56.21      
17 A' 768 738 25.95      
18 A' 580 558 48.36      
19 A' 299 288 3.64      
20 A" 3112 2991 0.22      
21 A" 3085 2965 87.72      
22 A" 3073 2954 4.27      
23 A" 2937 2823 46.73      
24 A" 1509 1450 0.18      
25 A" 1481 1424 0.89      
26 A" 1445 1389 8.93      
27 A" 1329 1277 4.09      
28 A" 1311 1260 18.53      
29 A" 1249 1201 5.83      
30 A" 1207 1160 0.63      
31 A" 1149 1105 13.17      
32 A" 1114 1071 0.14      
33 A" 949 912 0.28      
34 A" 877 843 2.64      
35 A" 640 615 0.68      
36 A" 85 82 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 28545.5 cm-1
Scaled (by 0.9611) Zero Point Vibrational Energy (zpe) 27435.1 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 HSEh1PBE/cc-pVTZ
ABC
0.23182 0.22954 0.13151

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.523 -1.094 0.000
H2 0.412 -2.098 0.000
C3 -0.100 -0.466 1.153
C4 -0.100 -0.466 -1.153
C5 -0.100 1.017 0.772
C6 -0.100 1.017 -0.772
H7 -1.136 -0.806 1.318
H8 -1.136 -0.806 -1.318
H9 0.467 -0.668 2.063
H10 0.467 -0.668 -2.063
H11 0.796 1.505 1.153
H12 0.796 1.505 -1.153
H13 -0.962 1.538 1.190
H14 -0.962 1.538 -1.190

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01021.45361.45362.33272.33272.13792.13792.10742.10742.85672.85673.24753.2475
H21.01022.06312.06313.25003.25002.40822.40822.51082.51083.80293.80294.06464.0646
C31.45362.06312.30631.53102.43021.10232.70071.09143.27232.16543.16362.18133.2008
C41.45362.06312.30632.43021.53102.70071.10233.27231.09143.16362.16543.20082.1813
C52.33273.25001.53102.43021.54442.16662.96052.19743.34691.08972.17941.08982.2051
C62.33273.25002.43021.53101.54442.96052.16663.34692.19742.17941.08972.20511.0898
H72.13792.40821.10232.70072.16662.96052.63561.77313.74423.01713.89642.35393.4368
H82.13792.40822.70071.10232.96052.16662.63563.74421.77313.89643.01713.43682.3539
H92.10742.51081.09143.27232.19743.34691.77313.74424.12632.37913.89592.76984.1820
H102.10742.51083.27231.09143.34692.19743.74421.77314.12633.89592.37914.18202.7698
H112.85673.80292.16543.16361.08972.17943.01713.89642.37913.89592.30661.75892.9294
H122.85673.80293.16362.16542.17941.08973.89643.01713.89592.37912.30662.92941.7589
H133.24754.06462.18133.20081.08982.20512.35393.43682.76984.18201.75892.92942.3793
H143.24754.06463.20082.18132.20511.08983.43682.35394.18202.76982.92941.75892.3793

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.779 N1 C3 H7 112.817
N1 C3 H9 110.998 N1 C4 C6 102.779
N1 C4 H8 112.817 N1 C4 H10 110.998
H2 N1 C3 112.474 H2 N1 C4 112.474
C3 N1 C4 104.993 C3 C5 C6 104.408
C3 C5 H11 110.299 C3 C5 H13 111.561
C4 C6 C5 104.408 C4 C6 H12 110.299
C4 C6 H14 111.561 C5 C3 H7 109.653
C5 C3 H9 112.775 C5 C6 H12 110.469
C5 C6 H14 112.520 C6 C4 H8 109.653
C6 C4 H10 112.775 C6 C5 H11 110.469
C6 C5 H13 112.520 H7 C3 H9 107.852
H8 C4 H10 107.852 H11 C5 H13 107.606
H12 C6 H14 107.606
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.215      
2 H 0.105      
3 C -0.083      
4 C -0.083      
5 C -0.173      
6 C -0.173      
7 H 0.054      
8 H 0.054      
9 H 0.079      
10 H 0.079      
11 H 0.090      
12 H 0.090      
13 H 0.088      
14 H 0.088      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.822 -0.266 0.000 0.864
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.068 0.696 0.000
y 0.696 -30.501 0.000
z 0.000 0.000 -31.745
Traceless
 xyz
x -2.945 0.696 0.000
y 0.696 2.406 0.000
z 0.000 0.000 0.540
Polar
3z2-r21.079
x2-y2-3.567
xy0.696
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.162 -0.080 0.000
y -0.080 8.114 0.000
z 0.000 0.000 8.541


<r2> (average value of r2) Å2
<r2> 108.315
(<r2>)1/2 10.407