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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-400.754446
Energy at 298.15K-400.766926
HF Energy-400.754446
Nuclear repulsion energy398.806742
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 3810 3636 66.14      
2 A 3595 3431 5.61      
3 A 3173 3028 17.18      
4 A 3150 3006 11.19      
5 A 3120 2978 23.29      
6 A 3115 2973 46.76      
7 A 3098 2957 15.88      
8 A 3057 2918 19.60      
9 A 2966 2831 74.21      
10 A 1873 1787 239.86      
11 A 1537 1467 0.89      
12 A 1518 1449 6.14      
13 A 1497 1429 0.71      
14 A 1461 1394 23.74      
15 A 1393 1329 36.62      
16 A 1379 1316 7.16      
17 A 1342 1281 12.20      
18 A 1332 1271 13.27      
19 A 1322 1261 2.09      
20 A 1266 1208 6.14      
21 A 1256 1199 2.18      
22 A 1229 1173 19.41      
23 A 1212 1156 10.90      
24 A 1187 1133 214.49      
25 A 1166 1113 25.80      
26 A 1115 1064 1.45      
27 A 1092 1042 4.29      
28 A 1016 969 5.23      
29 A 979 935 5.81      
30 A 946 903 3.91      
31 A 930 887 3.00      
32 A 901 859 61.10      
33 A 854 815 29.62      
34 A 793 757 2.87      
35 A 756 722 43.99      
36 A 685 654 107.61      
37 A 628 600 48.43      
38 A 595 568 16.57      
39 A 513 489 32.16      
40 A 500 477 17.37      
41 A 354 338 2.41      
42 A 262 250 3.17      
43 A 186 177 0.28      
44 A 60 57 0.36      
45 A 43 41 1.76      

Unscaled Zero Point Vibrational Energy (zpe) 32129.4 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 30661.1 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 HSEh1PBE/6-31G**
ABC
0.12016 0.05770 0.04642

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 -0.050 0.145 0.802
C2 0.907 1.253 0.325
C3 1.996 0.505 -0.477
C4 1.479 -0.934 -0.564
N5 0.731 -1.070 0.678
C6 -1.355 0.170 0.004
O7 -1.903 1.162 -0.411
O8 -1.852 -1.070 -0.166
H9 -0.355 0.297 1.846
H10 1.337 1.775 1.182
H11 0.363 1.987 -0.273
H12 2.947 0.527 0.061
H13 2.160 0.941 -1.466
H14 2.284 -1.674 -0.612
H15 0.853 -1.058 -1.466
H16 0.152 -1.901 0.704
H17 -2.685 -0.967 -0.647

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.53892.43932.31651.44991.53022.43652.37951.09902.17312.17153.11063.26443.27932.72072.05823.2061
C21.53891.54602.42862.35612.52822.90563.63972.19531.09191.09192.18182.20783.36772.92373.26454.3325
C32.43931.54601.53102.32743.40223.95464.16963.31222.19122.21491.09311.09282.20212.17413.25324.9098
C42.31652.42861.53101.45643.09403.98173.35763.26933.22563.14002.16312.18901.09441.10542.07464.1649
N51.44992.35612.32741.45642.51893.62012.71752.10092.95203.22262.80063.26862.10732.14761.01303.6653
C61.53022.52823.40223.09402.51891.20661.34652.10053.34832.51584.31763.88704.12552.92232.65451.8664
O72.43652.90563.95463.98173.62011.20662.24612.86993.66152.41504.91424.20335.06083.69243.85242.2804
O82.37953.63974.16963.35762.71751.34652.24612.85674.48113.77645.06314.67214.20313.00052.33670.9671
H91.09902.19533.31223.26932.10092.10052.86992.85672.34232.80383.76104.20834.11023.77682.52853.6390
H102.17311.09192.19123.22562.95203.34833.66154.48112.34231.76382.32542.89564.00153.90763.89135.1996
H112.17151.09192.21493.14003.22262.51582.41503.77642.80381.76382.98702.39704.14823.30634.01374.2605
H123.11062.18181.09312.16312.80064.31764.91425.06313.76102.32542.98701.76722.39573.03823.75805.8697
H133.26442.20781.09282.18903.26863.88704.20334.67214.20832.89562.39701.76722.75402.38844.10065.2708
H143.27933.36772.20211.09442.10734.12555.06084.20314.11024.00154.14822.39572.75401.77672.51555.0185
H152.72072.92372.17411.10542.14762.92233.69243.00053.77683.90763.30633.03822.38841.77672.43073.6319
H162.05823.26453.25322.07461.01302.65453.85242.33672.52853.89134.01373.75804.10062.51552.43073.2772
H173.20614.33254.90984.16493.66531.86642.28040.96713.63905.19964.26055.86975.27085.01853.63193.2772

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 110.228
C1 C2 H11 110.109 C1 N5 C4 105.698
C1 N5 H16 112.155 C1 C6 O7 125.400
C1 C6 O8 111.459 C2 C1 N5 104.022
C2 C1 C6 110.929 C2 C1 H9 111.567
C2 C3 C4 104.234 C2 C3 H12 110.352
C2 C3 H13 112.445 C3 C2 H10 111.166
C3 C2 H11 113.085 C3 C4 N5 102.319
C3 C4 H14 112.968 C3 C4 H15 110.061
C4 C3 H12 109.915 C4 C3 H13 111.997
C4 N5 H16 113.081 N5 C1 C6 115.369
N5 C1 H9 110.261 N5 C4 H14 110.598
N5 C4 H15 113.212 C6 C1 H9 104.863
C6 O8 H17 106.392 O7 C6 O8 123.128
H10 C2 H11 107.739 H12 C3 H13 107.889
H14 C4 H15 107.735
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 -0.074      
2 C -0.257      
3 C -0.249      
4 C -0.108      
5 N -0.512      
6 C 0.578      
7 O -0.465      
8 O -0.504      
9 H 0.167      
10 H 0.139      
11 H 0.161      
12 H 0.142      
13 H 0.131      
14 H 0.133      
15 H 0.108      
16 H 0.271      
17 H 0.338      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.034 -1.339 -0.431 1.407
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.250 5.858 -1.141
y 5.858 -48.808 2.703
z -1.141 2.703 -46.805
Traceless
 xyz
x 2.557 5.858 -1.141
y 5.858 -2.781 2.703
z -1.141 2.703 0.224
Polar
3z2-r20.448
x2-y23.558
xy5.858
xz-1.141
yz2.703


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.860 0.008 0.113
y 0.008 9.310 0.163
z 0.113 0.163 7.755


<r2> (average value of r2) Å2
<r2> 256.173
(<r2>)1/2 16.005