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All results from a given calculation for C5H9NO2 (Proline)

using model chemistry: PBE1PBE/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 PBE1PBE/aug-cc-pVDZ
 hartrees
Energy at 0K-400.769022
Energy at 298.15K-400.781483
HF Energy-400.769022
Nuclear repulsion energy397.864872
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-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 3794 3648 74.41      
2 A 3587 3449 8.05      
3 A 3166 3044 17.40      
4 A 3140 3020 11.87      
5 A 3115 2995 27.73      
6 A 3110 2990 38.48      
7 A 3090 2971 19.66      
8 A 3053 2936 19.52      
9 A 2963 2850 76.09      
10 A 1833 1762 273.26      
11 A 1510 1452 0.54      
12 A 1493 1436 6.96      
13 A 1473 1417 1.04      
14 A 1449 1393 27.14      
15 A 1373 1320 32.03      
16 A 1359 1307 3.86      
17 A 1325 1274 13.29      
18 A 1317 1267 7.89      
19 A 1305 1254 1.46      
20 A 1255 1207 7.67      
21 A 1243 1195 2.09      
22 A 1218 1172 17.87      
23 A 1198 1152 16.87      
24 A 1177 1131 210.52      
25 A 1161 1117 23.60      
26 A 1105 1062 1.03      
27 A 1090 1048 4.60      
28 A 1010 971 4.03      
29 A 979 942 9.10      
30 A 945 909 3.30      
31 A 927 891 1.36      
32 A 891 857 48.01      
33 A 845 813 27.22      
34 A 789 759 1.91      
35 A 750 721 37.07      
36 A 672 646 88.07      
37 A 626 602 53.15      
38 A 591 569 16.53      
39 A 507 488 30.81      
40 A 499 480 15.17      
41 A 350 337 2.25      
42 A 258 248 2.98      
43 A 183 176 0.18      
44 A 56 54 0.26      
45 A 35 33 2.35      

Unscaled Zero Point Vibrational Energy (zpe) 31906.8 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 30681.6 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-pVDZ
ABC
0.12084 0.05699 0.04583

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.051 0.142 0.793
C2 0.911 1.250 0.328
C3 2.007 0.507 -0.469
C4 1.497 -0.933 -0.563
N5 0.732 -1.075 0.670
C6 -1.360 0.170 -0.001
O7 -1.906 1.164 -0.410
O8 -1.875 -1.066 -0.163
H9 -0.360 0.289 1.840
H10 1.335 1.768 1.195
H11 0.373 1.990 -0.273
H12 2.958 0.530 0.077
H13 2.175 0.949 -1.459
H14 2.306 -1.674 -0.602
H15 0.876 -1.060 -1.472
H16 0.158 -1.910 0.691
H17 -2.715 -0.960 -0.630

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.53922.44182.32191.45191.53102.43612.38751.10192.17392.17563.11703.26733.28612.72662.06533.2151
C21.53921.54602.42982.35662.53592.91373.65612.19691.09561.09522.18442.20923.37052.92863.26894.3531
C32.44181.54601.53042.32933.41573.96874.20003.31472.19392.21601.09691.09672.20492.17703.25704.9473
C42.32192.42981.53041.45823.11314.00043.39853.27443.22703.14552.16452.19161.09781.10822.07884.2126
N51.45192.35662.32931.45822.52423.62452.73662.10322.95293.22692.80763.27242.11072.14701.01373.6854
C61.53102.53593.41573.11312.52421.20621.34842.09843.35372.52794.33313.90164.14692.94462.66601.8731
O72.43612.91373.96874.00043.62451.20622.24362.86693.66752.42824.92954.21915.08283.71643.86312.2831
O82.38753.65614.20003.39852.73661.34842.24362.85344.49223.79555.09544.70544.24823.04682.36120.9669
H91.10192.19693.31473.27442.10322.09842.86692.85342.34022.81053.76554.21264.11453.78432.53523.6340
H102.17391.09562.19393.22702.95293.35373.66754.49222.34021.77012.32722.90184.00213.91423.89455.2131
H112.17561.09522.21603.14553.22692.52792.42823.79552.81051.77012.98972.39514.15603.31544.02384.2856
H123.11702.18441.09692.16452.80764.33314.92955.09543.76552.32722.98971.77432.39623.04353.76455.9078
H133.26732.20921.09672.19163.27243.90164.21914.70544.21262.90182.39511.77432.76232.39194.10665.3141
H143.28613.37052.20491.09782.11074.14695.08284.24824.11454.00214.15602.39622.76231.78372.51855.0719
H152.72662.92862.17701.10822.14702.94463.71643.04683.78433.91423.31543.04352.39191.78372.43303.6896
H162.06533.26893.25702.07881.01372.66603.86312.36122.53523.89454.02383.76454.10662.51852.43303.3018
H173.21514.35314.94734.21263.68541.87312.28310.96693.63405.21314.28565.90785.31415.07193.68963.3018

picture of Proline state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 104.643 C1 C2 H10 110.055
C1 C2 H11 110.208 C1 N5 C4 105.859
C1 N5 H16 112.569 C1 C6 O7 125.329
C1 C6 O8 111.869 C2 C1 N5 103.934
C2 C1 C6 111.372 C2 C1 H9 111.498
C2 C3 C4 104.339 C2 C3 H12 110.332
C2 C3 H13 112.323 C3 C2 H10 111.163
C3 C2 H11 112.966 C3 C4 N5 102.381
C3 C4 H14 113.027 C3 C4 H15 110.157
C4 C3 H12 109.844 C4 C3 H13 112.015
C4 N5 H16 113.262 N5 C1 C6 115.577
N5 C1 H9 110.132 N5 C4 H14 110.547
N5 C4 H15 112.849 C6 C1 H9 104.504
C6 O8 H17 106.841 O7 C6 O8 122.767
H10 C2 H11 107.797 H12 C3 H13 107.973
H14 C4 H15 107.914
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.238      
2 C 0.716      
3 C 0.651      
4 C 0.953      
5 N -0.399      
6 C 1.028      
7 O -0.624      
8 O -0.581      
9 H -0.291      
10 H -0.230      
11 H -0.359      
12 H -0.292      
13 H -0.244      
14 H -0.345      
15 H -0.349      
16 H -0.053      
17 H 0.181      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.236 -1.353 -0.349 1.417
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.794 6.001 -1.337
y 6.001 -50.076 2.776
z -1.337 2.776 -47.997
Traceless
 xyz
x 2.242 6.001 -1.337
y 6.001 -2.680 2.776
z -1.337 2.776 0.438
Polar
3z2-r20.876
x2-y23.282
xy6.001
xz-1.337
yz2.776


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.887 -0.017 0.116
y -0.017 11.137 0.101
z 0.116 0.101 9.580


<r2> (average value of r2) Å2
<r2> 259.124
(<r2>)1/2 16.097