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All results from a given calculation for C5H9NO2 (Proline)

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G*
 hartrees
Energy at 0K-400.736311
Energy at 298.15K-400.748783
HF Energy-400.736311
Nuclear repulsion energy398.652127
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 HSEh1PBE/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 3741 3558 62.69      
2 A 3573 3398 4.38      
3 A 3176 3020 18.47      
4 A 3151 2997 12.08      
5 A 3126 2972 24.99      
6 A 3121 2968 46.60      
7 A 3103 2951 16.65      
8 A 3062 2912 19.96      
9 A 2972 2826 74.66      
10 A 1875 1783 241.61      
11 A 1553 1477 0.94      
12 A 1535 1460 6.03      
13 A 1515 1440 0.82      
14 A 1473 1401 22.65      
15 A 1398 1330 28.74      
16 A 1388 1320 7.44      
17 A 1352 1286 10.62      
18 A 1344 1278 13.82      
19 A 1332 1267 2.16      
20 A 1274 1212 6.06      
21 A 1264 1202 2.41      
22 A 1235 1175 18.78      
23 A 1220 1160 13.08      
24 A 1194 1135 219.79      
25 A 1172 1114 25.87      
26 A 1123 1068 2.07      
27 A 1098 1045 5.08      
28 A 1020 970 5.14      
29 A 983 935 6.54      
30 A 950 903 4.59      
31 A 934 888 3.47      
32 A 907 863 64.25      
33 A 858 815 29.10      
34 A 796 757 2.53      
35 A 759 722 42.21      
36 A 690 656 111.63      
37 A 630 599 45.96      
38 A 598 568 15.98      
39 A 513 488 33.55      
40 A 500 475 15.87      
41 A 353 336 2.36      
42 A 261 248 3.09      
43 A 186 177 0.29      
44 A 59 56 0.29      
45 A 42 40 1.82      

Unscaled Zero Point Vibrational Energy (zpe) 32203.5 cm-1
Scaled (by 0.951) Zero Point Vibrational Energy (zpe) 30625.5 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 HSEh1PBE/6-31G*
ABC
0.12017 0.05763 0.04637

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.049 0.147 0.801
C2 0.908 1.253 0.324
C3 1.997 0.504 -0.478
C4 1.479 -0.934 -0.563
N5 0.731 -1.069 0.679
C6 -1.356 0.170 0.004
O7 -1.906 1.161 -0.410
O8 -1.851 -1.071 -0.166
H9 -0.352 0.298 1.847
H10 1.339 1.775 1.182
H11 0.366 1.989 -0.275
H12 2.949 0.526 0.060
H13 2.161 0.940 -1.468
H14 2.283 -1.677 -0.609
H15 0.851 -1.060 -1.465
H16 0.151 -1.900 0.704
H17 -2.687 -0.968 -0.647

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.53932.43992.31671.45021.53062.43802.38001.09942.17382.17343.11173.26543.27932.72092.05933.2094
C21.53931.54632.42892.35622.52992.91013.64102.19601.09271.09242.18262.20873.36832.92503.26574.3367
C32.43991.54631.53132.32743.40373.95904.16993.31212.19182.21521.09381.09362.20312.17573.25394.9134
C42.31672.42891.53131.45643.09473.98433.35663.26853.22603.14122.16382.18971.09501.10602.07454.1674
N51.45022.35622.32741.45642.51963.62182.71712.09932.95183.22422.80093.26932.10632.14771.01413.6684
C61.53062.52993.40373.09472.51961.20661.34732.10293.35062.51974.31973.88894.12612.92242.65491.8691
O72.43802.91013.95903.98433.62181.20662.24622.87333.66672.42224.91924.20835.06363.69453.85312.2806
O82.38003.64104.16993.35662.71711.34732.24622.85874.48293.78045.06384.67284.20152.99852.33510.9704
H91.09942.19603.31213.26852.09932.10292.87332.85872.34252.80703.76074.20924.10813.77672.52833.6439
H102.17381.09272.19183.22602.95183.35063.66674.48292.34251.76472.32592.89714.00173.90933.89255.2045
H112.17341.09242.21523.14123.22422.51972.42223.78042.80701.76472.98742.39704.14983.30874.01644.2670
H123.11172.18261.09382.16382.80094.31974.91925.06383.76072.32592.98741.76862.39643.04023.75905.8738
H133.26542.20871.09362.18973.26933.88894.20834.67284.20922.89712.39701.76862.75612.39044.10165.2745
H143.27933.36832.20311.09502.10634.12615.06364.20154.10814.00174.14982.39642.75611.77822.51405.0205
H152.72092.92502.17571.10602.14772.92243.69452.99853.77673.90933.30873.04022.39041.77822.42943.6329
H162.05933.26573.25392.07451.01412.65493.85312.33512.52833.89254.01643.75904.10162.51402.42943.2788
H173.20944.33674.91344.16743.66841.86912.28060.97043.64395.20454.26705.87385.27455.02053.63293.2788

picture of Proline state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 104.512 C1 C2 H10 110.210
C1 C2 H11 110.193 C1 N5 C4 105.697
C1 N5 H16 112.155 C1 C6 O7 125.498
C1 C6 O8 111.416 C2 C1 N5 103.991
C2 C1 C6 110.997 C2 C1 H9 111.570
C2 C3 C4 104.228 C2 C3 H12 110.351
C2 C3 H13 112.446 C3 C2 H10 111.150
C3 C2 H11 113.046 C3 C4 N5 102.309
C3 C4 H14 112.993 C3 C4 H15 110.131
C4 C3 H12 109.912 C4 C3 H13 111.992
C4 N5 H16 112.992 N5 C1 C6 115.371
N5 C1 H9 110.085 N5 C4 H14 110.486
N5 C4 H15 113.180 C6 C1 H9 104.992
C6 O8 H17 106.361 O7 C6 O8 123.072
H10 C2 H11 107.730 H12 C3 H13 107.902
H14 C4 H15 107.789
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.112      
2 C -0.348      
3 C -0.328      
4 C -0.193      
5 N -0.568      
6 C 0.574      
7 O -0.461      
8 O -0.589      
9 H 0.206      
10 H 0.180      
11 H 0.204      
12 H 0.180      
13 H 0.172      
14 H 0.174      
15 H 0.147      
16 H 0.335      
17 H 0.427      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.041 -1.320 -0.454 1.397
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.300 5.883 -1.129
y 5.883 -48.836 2.698
z -1.129 2.698 -46.848
Traceless
 xyz
x 2.542 5.883 -1.129
y 5.883 -2.762 2.698
z -1.129 2.698 0.220
Polar
3z2-r20.440
x2-y23.536
xy5.883
xz-1.129
yz2.698


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.767 -0.003 0.126
y -0.003 9.228 0.163
z 0.126 0.163 7.669


<r2> (average value of r2) Å2
<r2> 256.407
(<r2>)1/2 16.013