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All results from a given calculation for C5H9NO2 (Proline)

using model chemistry: PBE1PBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBE1PBE/6-31G**
 hartrees
Energy at 0K-400.703674
Energy at 298.15K-400.716177
HF Energy-400.703674
Nuclear repulsion energy398.705800
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 PBE1PBE/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 3748 3572 64.05      
2 A 3577 3410 4.70      
3 A 3177 3028 17.56      
4 A 3154 3006 11.25      
5 A 3127 2980 25.28      
6 A 3122 2976 43.87      
7 A 3105 2959 15.79      
8 A 3065 2921 19.03      
9 A 2976 2836 72.65      
10 A 1878 1790 241.85      
11 A 1553 1480 0.91      
12 A 1535 1463 6.20      
13 A 1514 1443 0.84      
14 A 1473 1404 23.22      
15 A 1399 1334 30.86      
16 A 1389 1324 7.04      
17 A 1352 1289 11.28      
18 A 1344 1281 13.48      
19 A 1332 1270 2.18      
20 A 1275 1215 6.44      
21 A 1265 1206 2.12      
22 A 1236 1178 18.88      
23 A 1220 1163 14.17      
24 A 1195 1139 216.34      
25 A 1174 1119 25.15      
26 A 1123 1070 1.83      
27 A 1100 1048 4.85      
28 A 1021 973 5.08      
29 A 985 938 6.52      
30 A 951 907 4.78      
31 A 935 891 3.30      
32 A 908 866 65.72      
33 A 858 818 28.21      
34 A 796 758 2.66      
35 A 760 724 42.15      
36 A 691 659 111.94      
37 A 630 600 45.94      
38 A 598 570 15.94      
39 A 514 490 33.84      
40 A 500 477 15.76      
41 A 354 337 2.25      
42 A 262 249 3.09      
43 A 186 177 0.30      
44 A 58 56 0.29      
45 A 42 40 1.81      

Unscaled Zero Point Vibrational Energy (zpe) 32227.1 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 30715.7 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 PBE1PBE/6-31G**
ABC
0.12012 0.05767 0.04641

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.049 0.146 0.801
C2 0.908 1.253 0.324
C3 1.997 0.504 -0.478
C4 1.479 -0.934 -0.564
N5 0.732 -1.069 0.679
C6 -1.356 0.170 0.003
O7 -1.907 1.161 -0.410
O8 -1.851 -1.071 -0.165
H9 -0.352 0.297 1.847
H10 1.339 1.775 1.182
H11 0.366 1.989 -0.275
H12 2.949 0.526 0.061
H13 2.161 0.940 -1.468
H14 2.283 -1.676 -0.610
H15 0.851 -1.060 -1.465
H16 0.152 -1.901 0.704
H17 -2.688 -0.967 -0.646

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.53912.43942.31611.45011.53082.43822.37991.09952.17362.17343.11143.26493.27872.72022.05933.2089
C21.53911.54602.42842.35582.53012.91053.64112.19571.09281.09252.18242.20843.36782.92473.26554.3364
C32.43941.54601.53112.32703.40353.95924.17023.31162.19162.21481.09401.09372.20282.17583.25364.9135
C42.31612.42841.53111.45623.09443.98443.35693.26793.22553.14092.16372.18971.09511.10602.07434.1678
N51.45012.35582.32701.45622.52003.62232.71802.09902.95103.22412.80033.26912.10592.14771.01423.6691
C61.53082.53013.40353.09442.52001.20671.34712.10313.35082.52004.31973.88854.12602.92182.65561.8682
O72.43822.91053.95923.98443.62231.20672.24612.87333.66722.42284.91964.20845.06393.69453.85392.2795
O82.37993.64114.17023.35692.71801.34712.24612.85844.48283.78085.06414.67314.20212.99872.33630.9703
H91.09952.19573.31163.26792.09902.10312.87332.85842.34202.80703.76034.20884.10753.77612.52803.6430
H102.17361.09282.19163.22552.95103.35083.66724.48282.34201.76512.32562.89714.00103.90913.89185.2039
H112.17341.09252.21483.14093.22412.52002.42283.78082.80701.76512.98722.39654.14953.30864.01674.2668
H123.11142.18241.09402.16372.80034.31974.91965.06413.76032.32562.98721.76892.39603.04043.75845.8739
H133.26492.20841.09372.18973.26913.88854.20844.67314.20882.89712.39651.76892.75612.39054.10155.2746
H143.27873.36782.20281.09512.10594.12605.06394.20214.10754.00104.14952.39602.75611.77862.51365.0213
H152.72022.92472.17581.10602.14772.92183.69452.99873.77613.90913.30863.04042.39051.77862.42953.6334
H162.05933.26553.25362.07431.01422.65563.85392.33632.52803.89184.01673.75844.10152.51362.42953.2801
H173.20894.33644.91354.16783.66911.86822.27950.97033.64305.20394.26685.87395.27465.02133.63343.2801

picture of Proline state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 104.508 C1 C2 H10 110.202
C1 C2 H11 110.206 C1 N5 C4 105.676
C1 N5 H16 112.159 C1 C6 O7 125.497
C1 C6 O8 111.414 C2 C1 N5 103.983
C2 C1 C6 111.007 C2 C1 H9 111.554
C2 C3 C4 104.223 C2 C3 H12 110.350
C2 C3 H13 112.438 C3 C2 H10 111.146
C3 C2 H11 113.036 C3 C4 N5 102.303
C3 C4 H14 112.975 C3 C4 H15 110.146
C4 C3 H12 109.909 C4 C3 H13 111.992
C4 N5 H16 112.987 N5 C1 C6 115.403
N5 C1 H9 110.065 N5 C4 H14 110.465
N5 C4 H15 113.194 C6 C1 H9 104.992
C6 O8 H17 106.310 O7 C6 O8 123.073
H10 C2 H11 107.741 H12 C3 H13 107.916
H14 C4 H15 107.805
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.120      
2 C -0.353      
3 C -0.335      
4 C -0.198      
5 N -0.571      
6 C 0.578      
7 O -0.462      
8 O -0.591      
9 H 0.210      
10 H 0.184      
11 H 0.207      
12 H 0.184      
13 H 0.175      
14 H 0.177      
15 H 0.150      
16 H 0.337      
17 H 0.428      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.041 -1.324 -0.457 1.401
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.310 5.885 -1.134
y 5.885 -48.806 2.688
z -1.134 2.688 -46.830
Traceless
 xyz
x 2.507 5.885 -1.134
y 5.885 -2.735 2.688
z -1.134 2.688 0.228
Polar
3z2-r20.456
x2-y23.495
xy5.885
xz-1.134
yz2.688


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.745 -0.008 0.124
y -0.008 9.215 0.162
z 0.124 0.162 7.659


<r2> (average value of r2) Å2
<r2> 256.274
(<r2>)1/2 16.009