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All results from a given calculation for C5H9NO2 (Proline)

using model chemistry: PBEPBEultrafine/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBEultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-400.741363
Energy at 298.15K-400.753547
HF Energy-400.741363
Nuclear repulsion energy394.178138
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 PBEPBEultrafine/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 3612 3590 47.19      
2 A 3458 3437 4.66      
3 A 3076 3058 19.61      
4 A 3052 3034 10.90      
5 A 3027 3008 23.98      
6 A 3022 3004 43.83      
7 A 3004 2986 19.85      
8 A 2959 2941 20.01      
9 A 2869 2851 84.62      
10 A 1739 1728 241.59      
11 A 1458 1449 0.89      
12 A 1445 1436 6.28      
13 A 1426 1417 1.24      
14 A 1389 1381 19.51      
15 A 1306 1298 12.93      
16 A 1301 1293 5.30      
17 A 1272 1265 8.27      
18 A 1267 1260 8.92      
19 A 1255 1247 1.65      
20 A 1206 1199 1.76      
21 A 1190 1183 1.48      
22 A 1162 1155 16.17      
23 A 1153 1146 2.76      
24 A 1114 1107 50.18      
25 A 1102 1096 186.76      
26 A 1064 1058 5.81      
27 A 1050 1043 10.85      
28 A 971 965 3.67      
29 A 938 932 10.50      
30 A 909 903 3.77      
31 A 893 888 1.94      
32 A 855 850 45.62      
33 A 809 804 25.54      
34 A 757 752 0.56      
35 A 713 709 34.85      
36 A 654 650 89.21      
37 A 604 600 39.85      
38 A 570 567 16.72      
39 A 493 490 32.48      
40 A 469 466 11.58      
41 A 334 332 2.28      
42 A 246 244 2.65      
43 A 177 176 0.15      
44 A 54 54 0.22      
45 A 30 30 2.33      

Unscaled Zero Point Vibrational Energy (zpe) 30725.5 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 30538.1 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 PBEPBEultrafine/aug-cc-pVDZ
ABC
0.11903 0.05583 0.04484

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.053 0.139 0.794
C2 0.916 1.258 0.332
C3 2.027 0.516 -0.468
C4 1.522 -0.936 -0.566
N5 0.743 -1.083 0.670
C6 -1.376 0.170 -0.005
O7 -1.930 1.176 -0.410
O8 -1.897 -1.079 -0.163
H9 -0.364 0.283 1.849
H10 1.337 1.779 1.207
H11 0.376 2.005 -0.273
H12 2.981 0.545 0.085
H13 2.198 0.963 -1.462
H14 2.341 -1.677 -0.600
H15 0.907 -1.068 -1.488
H16 0.172 -1.930 0.692
H17 -2.748 -0.974 -0.631

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.55092.46162.34261.46371.54552.45882.40801.10922.18952.19163.14213.29183.31232.75352.08413.2454
C21.55091.55712.44792.37242.55942.94173.69042.21121.10221.10172.19912.22483.39372.95313.29414.3972
C32.46161.55711.54092.34563.45174.01154.24663.33702.20792.23131.10351.10332.21992.19173.28185.0048
C42.34262.44791.54091.46883.15294.05013.44613.29813.24843.17042.17862.20621.10471.11612.09614.2713
N51.46372.37242.34561.46882.55233.66222.76802.11712.97243.24952.82903.29412.12572.16381.02143.7269
C61.54552.55943.45173.15292.55231.21771.36222.11473.37932.55124.37433.94074.19332.99032.70081.8931
O72.45882.94174.01154.05013.66221.21772.26832.88963.69492.45404.97604.26535.13973.77353.90922.3112
O82.40803.69044.24663.44612.76801.36222.26832.87284.52833.83235.14734.75694.30253.10092.39570.9768
H91.10922.21123.33703.29812.11712.11472.88962.87282.35432.83053.79034.24114.14173.81722.55473.6626
H102.18951.10222.20793.24842.97243.37933.69494.52832.35431.77912.34172.92074.02693.94343.92205.2583
H112.19161.10172.23133.17043.24952.55122.45403.83232.83051.77913.00782.41254.18643.34624.05694.3316
H123.14212.19911.10352.17862.82904.37434.97605.14733.79032.34173.00781.78392.41163.06243.79265.9704
H133.29182.22481.10332.20623.29413.94074.26534.75694.24112.92072.41251.78392.78142.40674.13725.3769
H143.31233.39372.21991.10472.12574.19335.13974.30254.14174.02694.18642.41162.78141.79422.53675.1378
H152.75352.95312.19171.11612.16382.99033.77353.10093.81723.94343.34623.06242.40671.79422.45673.7551
H162.08413.29413.28182.09611.02142.70083.90922.39572.55473.92204.05693.79264.13722.53672.45673.3458
H173.24544.39725.00484.27133.72691.89312.31120.97683.66265.25834.33165.97045.37695.13783.75513.3458

picture of Proline state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 104.751 C1 C2 H10 110.078
C1 C2 H11 110.271 C1 N5 C4 106.042
C1 N5 H16 112.777 C1 C6 O7 125.289
C1 C6 O8 111.664 C2 C1 N5 103.767
C2 C1 C6 111.494 C2 C1 H9 111.367
C2 C3 C4 104.395 C2 C3 H12 110.328
C2 C3 H13 112.375 C3 C2 H10 111.093
C3 C2 H11 112.994 C3 C4 N5 102.375
C3 C4 H14 113.056 C3 C4 H15 110.123
C4 C3 H12 109.838 C4 C3 H13 112.030
C4 N5 H16 113.432 N5 C1 C6 116.001
N5 C1 H9 109.973 N5 C4 H14 110.581
N5 C4 H15 112.966 C6 C1 H9 104.404
C6 O8 H17 106.915 O7 C6 O8 122.996
H10 C2 H11 107.655 H12 C3 H13 107.866
H14 C4 H15 107.786
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.418      
2 C 0.875      
3 C 0.893      
4 C 1.065      
5 N -0.319      
6 C 0.907      
7 O -0.574      
8 O -0.521      
9 H -0.411      
10 H -0.349      
11 H -0.451      
12 H -0.397      
13 H -0.353      
14 H -0.441      
15 H -0.443      
16 H -0.072      
17 H 0.172      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.318 -1.296 -0.381 1.387
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.755 5.988 -1.287
y 5.988 -50.360 2.524
z -1.287 2.524 -48.606
Traceless
 xyz
x 1.728 5.988 -1.287
y 5.988 -2.179 2.524
z -1.287 2.524 0.452
Polar
3z2-r20.904
x2-y22.605
xy5.988
xz-1.287
yz2.524


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.849 0.011 0.185
y 0.011 11.920 0.157
z 0.185 0.157 10.206


<r2> (average value of r2) Å2
<r2> 264.051
(<r2>)1/2 16.250