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All results from a given calculation for C5H9NO2 (Proline)

using model chemistry: PBE1PBE/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-400.858302
Energy at 298.15K-400.870758
HF Energy-400.858302
Nuclear repulsion energy399.020244
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/aug-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 3791 3645 75.48      
2 A 3590 3452 8.81      
3 A 3149 3027 16.06      
4 A 3123 3003 10.71      
5 A 3101 2982 21.10      
6 A 3095 2976 43.88      
7 A 3078 2959 16.10      
8 A 3039 2922 18.52      
9 A 2952 2838 72.39      
10 A 1836 1765 280.65      
11 A 1521 1462 0.36      
12 A 1504 1446 7.75      
13 A 1485 1428 0.96      
14 A 1457 1401 24.44      
15 A 1374 1321 28.63      
16 A 1367 1315 6.60      
17 A 1333 1282 5.70      
18 A 1328 1276 18.86      
19 A 1318 1268 3.12      
20 A 1260 1212 2.84      
21 A 1247 1199 2.56      
22 A 1222 1175 17.81      
23 A 1205 1158 5.40      
24 A 1172 1127 182.66      
25 A 1160 1116 67.41      
26 A 1110 1067 1.59      
27 A 1088 1046 6.05      
28 A 1010 971 5.16      
29 A 976 938 8.14      
30 A 942 906 3.14      
31 A 926 890 1.79      
32 A 887 853 41.45      
33 A 846 813 32.14      
34 A 787 757 2.25      
35 A 749 720 40.58      
36 A 671 645 84.41      
37 A 625 601 57.61      
38 A 591 568 15.02      
39 A 512 493 35.33      
40 A 494 475 14.02      
41 A 349 335 2.26      
42 A 258 248 2.75      
43 A 182 175 0.17      
44 A 57 55 0.24      
45 A 34 33 2.43      

Unscaled Zero Point Vibrational Energy (zpe) 31899.4 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 30671.2 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 PBE1PBE/aug-cc-pVTZ
ABC
0.12160 0.05727 0.04605

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.050 0.144 0.792
C2 0.907 1.248 0.324
C3 2.000 0.505 -0.471
C4 1.493 -0.931 -0.559
N5 0.731 -1.070 0.672
C6 -1.357 0.169 0.001
O7 -1.903 1.158 -0.406
O8 -1.867 -1.064 -0.166
H9 -0.357 0.295 1.833
H10 1.331 1.766 1.183
H11 0.371 1.982 -0.275
H12 2.946 0.531 0.070
H13 2.166 0.942 -1.456
H14 2.298 -1.666 -0.598
H15 0.874 -1.060 -1.462
H16 0.161 -1.903 0.698
H17 -2.704 -0.961 -0.636

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.53512.43542.31591.44821.52842.42852.38291.09552.16622.16723.10583.25603.27462.71732.05963.2097
C21.53511.54212.42342.35072.52932.90483.64462.18741.08881.08842.17572.20103.35822.91853.25984.3408
C32.43541.54211.52622.32353.40713.95774.18483.30302.18452.20731.09011.08982.19562.16813.24794.9300
C42.31592.42341.52621.45463.10623.99003.38593.26343.21503.13472.15542.18301.09101.10192.07344.1974
N51.44822.35072.32351.45462.51953.61442.73052.09652.94313.21572.79793.26092.10342.13871.00963.6772
C61.52842.52933.40713.10622.51951.20041.34452.09133.34292.52004.31883.88984.13412.93752.66221.8697
O72.42852.90483.95773.99003.61441.20042.23482.85423.65412.42224.91214.20735.06593.70763.85372.2773
O82.38293.64464.18483.38592.73051.34452.23482.85024.47843.78145.07594.68524.23133.03222.35980.9647
H91.09552.18743.30303.26342.09652.09132.85422.85022.33142.79653.75104.19514.09963.76932.52743.6305
H102.16621.08882.18453.21502.94313.34293.65414.47842.33141.75902.31712.88763.98553.89743.88115.1986
H112.16721.08842.20733.13473.21572.52002.42223.78142.79651.75902.97552.38654.13843.30384.01064.2718
H123.10582.17571.09012.15542.79794.31884.91215.07593.75102.31712.97551.76302.38593.02863.75105.8858
H133.25602.20101.08982.18303.26093.88984.20734.68524.19512.88762.38651.76302.74882.38264.09295.2920
H143.27463.35822.19561.09102.10344.13415.06594.23134.09963.98554.13842.38592.74881.77282.51065.0517
H152.71732.91852.16811.10192.13872.93753.70763.03223.76933.89743.30383.02862.38261.77282.42583.6731
H162.05963.25983.24792.07341.00962.66223.85372.35982.52743.88114.01063.75104.09292.51062.42583.2980
H173.20974.34084.93004.19743.67721.86972.27730.96473.63055.19864.27185.88585.29205.05173.67313.2980

picture of Proline state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 104.641 C1 C2 H10 110.127
C1 C2 H11 110.236 C1 N5 C4 105.841
C1 N5 H16 112.628 C1 C6 O7 125.305
C1 C6 O8 111.926 C2 C1 N5 103.950
C2 C1 C6 111.306 C2 C1 H9 111.412
C2 C3 C4 104.340 C2 C3 H12 110.314
C2 C3 H13 112.363 C3 C2 H10 111.094
C3 C2 H11 112.959 C3 C4 N5 102.403
C3 C4 H14 112.995 C3 C4 H15 110.127
C4 C3 H12 109.818 C4 C3 H13 112.047
C4 N5 H16 113.339 N5 C1 C6 115.627
N5 C1 H9 110.241 N5 C4 H14 110.626
N5 C4 H15 112.836 C6 C1 H9 104.478
C6 O8 H17 106.987 O7 C6 O8 122.744
H10 C2 H11 107.781 H12 C3 H13 107.944
H14 C4 H15 107.890
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.299      
2 C -0.389      
3 C -0.432      
4 C -0.211      
5 N -0.398      
6 C 0.652      
7 O -0.755      
8 O -0.344      
9 H 0.249      
10 H 0.194      
11 H 0.185      
12 H 0.138      
13 H 0.260      
14 H 0.256      
15 H 0.197      
16 H -0.051      
17 H 0.150      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.269 -1.383 -0.379 1.459
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.850 6.068 -1.249
y 6.068 -49.710 2.586
z -1.249 2.586 -47.776
Traceless
 xyz
x 1.893 6.068 -1.249
y 6.068 -2.398 2.586
z -1.249 2.586 0.504
Polar
3z2-r21.009
x2-y22.861
xy6.068
xz-1.249
yz2.586


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.814 -0.030 0.110
y -0.030 11.076 0.123
z 0.110 0.123 9.516


<r2> (average value of r2) Å2
<r2> 257.837
(<r2>)1/2 16.057