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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: mPW1PW91/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 mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-212.563983
Energy at 298.15K-212.575557
Nuclear repulsion energy190.490496
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 mPW1PW91/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' 3573 3424 0.29      
2 A' 3152 3020 56.42      
3 A' 3112 2982 7.89      
4 A' 3096 2967 45.07      
5 A' 2961 2838 146.72      
6 A' 1523 1459 0.68      
7 A' 1495 1433 6.40      
8 A' 1387 1329 1.02      
9 A' 1316 1261 1.62      
10 A' 1249 1196 1.34      
11 A' 1225 1174 5.94      
12 A' 1084 1039 0.31      
13 A' 1011 968 1.45      
14 A' 961 921 7.84      
15 A' 925 887 1.20      
16 A' 883 846 53.81      
17 A' 771 739 23.64      
18 A' 580 556 47.94      
19 A' 297 285 3.64      
20 A" 3131 3001 0.76      
21 A" 3107 2977 76.49      
22 A" 3086 2958 15.41      
23 A" 2958 2835 52.51      
24 A" 1503 1440 0.12      
25 A" 1477 1415 0.73      
26 A" 1438 1378 10.54      
27 A" 1322 1267 11.92      
28 A" 1298 1244 9.85      
29 A" 1245 1194 5.04      
30 A" 1203 1153 0.76      
31 A" 1152 1104 11.71      
32 A" 1109 1063 0.01      
33 A" 952 912 0.31      
34 A" 875 839 2.33      
35 A" 642 615 0.73      
36 A" 90 86 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 28593.5 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 27401.2 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 mPW1PW91/aug-cc-pVDZ
ABC
0.23024 0.22815 0.13063

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.525 -1.098 0.000
H2 0.408 -2.105 0.000
C3 -0.100 -0.466 1.156
C4 -0.100 -0.466 -1.156
C5 -0.100 1.020 0.774
C6 -0.100 1.020 -0.774
H7 -1.141 -0.812 1.316
H8 -1.141 -0.812 -1.316
H9 0.468 -0.676 2.071
H10 0.468 -0.676 -2.071
H11 0.800 1.512 1.159
H12 0.800 1.512 -1.159
H13 -0.967 1.544 1.194
H14 -0.967 1.544 -1.194

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01411.45851.45852.33972.33972.14202.14202.11472.11472.86862.86863.25993.2599
H21.01412.06932.06933.25923.25922.40892.40892.51732.51733.81823.81824.07774.0777
C31.45852.06932.31291.53452.43611.10802.70451.09703.28402.17333.17542.18883.2115
C41.45852.06932.31292.43611.53452.70451.10803.28401.09703.17542.17333.21152.1888
C52.33973.25921.53452.43611.54792.17532.96742.20933.36061.09572.18811.09602.2130
C62.33973.25922.43611.53451.54792.96742.17533.36062.20932.18811.09572.21301.0960
H72.14202.40891.10802.70452.17532.96742.63161.78213.75213.03183.91032.36513.4464
H82.14202.40892.70451.10802.96742.17532.63163.75211.78213.91033.03183.44642.3651
H92.11472.51731.09703.28402.20933.36061.78213.75214.14272.39363.91542.78424.2005
H102.11472.51733.28401.09703.36062.20933.75211.78214.14273.91542.39364.20052.7842
H112.86863.81822.17333.17541.09572.18813.03183.91032.39363.91542.31761.76712.9423
H122.86863.81823.17542.17332.18811.09573.91033.03183.91542.39362.31762.94231.7671
H133.25994.07772.18883.21151.09602.21302.36513.44642.78424.20051.76712.94232.3879
H143.25994.07773.21152.18882.21301.09603.44642.36514.20052.78422.94231.76712.3879

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.810 N1 C3 H7 112.426
N1 C3 H9 110.891 N1 C4 C6 102.810
N1 C4 H8 112.426 N1 C4 H10 110.891
H2 N1 C3 112.378 H2 N1 C4 112.378
C3 N1 C4 104.911 C3 C5 C6 104.435
C3 C5 H11 110.325 C3 C5 H13 111.542
C4 C6 C5 104.435 C4 C6 H12 110.325
C4 C6 H14 111.542 C5 C3 H7 109.764
C5 C3 H9 113.143 C5 C6 H12 110.563
C5 C6 H14 112.533 C6 C4 H8 109.764
C6 C4 H10 113.143 C6 C5 H11 110.563
C6 C5 H13 112.533 H7 C3 H9 107.843
H8 C4 H10 107.843 H11 C5 H13 107.473
H12 C6 H14 107.473
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.399      
2 H -0.074      
3 C 0.840      
4 C 0.840      
5 C 0.502      
6 C 0.502      
7 H -0.299      
8 H -0.299      
9 H -0.314      
10 H -0.314      
11 H -0.264      
12 H -0.264      
13 H -0.228      
14 H -0.228      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.932 -0.222 0.000 0.958
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.416 0.842 0.000
y 0.842 -30.605 0.000
z 0.000 0.000 -31.851
Traceless
 xyz
x -3.188 0.842 0.000
y 0.842 2.528 0.000
z 0.000 0.000 0.660
Polar
3z2-r21.320
x2-y2-3.811
xy0.842
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.777 -0.143 0.000
y -0.143 8.577 0.000
z 0.000 0.000 8.999


<r2> (average value of r2) Å2
<r2> 109.036
(<r2>)1/2 10.442