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All results from a given calculation for C5H9NO2 (Proline)

using model chemistry: PBE1PBE/6-311G**

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/6-311G**
 hartrees
Energy at 0K-400.814033
Energy at 298.15K-400.826542
HF Energy-400.814033
Nuclear repulsion energy399.246123
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/6-311G**
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 3813 3658 73.37      
2 A 3591 3445 7.85      
3 A 3154 3025 20.19      
4 A 3129 3002 11.96      
5 A 3105 2979 23.25      
6 A 3100 2974 48.34      
7 A 3082 2957 17.30      
8 A 3048 2925 19.34      
9 A 2953 2833 77.42      
10 A 1860 1784 264.82      
11 A 1525 1463 0.68      
12 A 1507 1445 8.22      
13 A 1485 1424 1.49      
14 A 1459 1400 24.70      
15 A 1380 1324 32.01      
16 A 1372 1316 4.10      
17 A 1335 1281 9.09      
18 A 1328 1274 9.87      
19 A 1316 1263 3.36      
20 A 1262 1210 5.29      
21 A 1249 1198 2.58      
22 A 1224 1174 16.47      
23 A 1207 1158 15.16      
24 A 1182 1134 214.07      
25 A 1163 1116 33.92      
26 A 1110 1065 1.65      
27 A 1089 1045 4.99      
28 A 1013 972 5.34      
29 A 977 937 7.52      
30 A 944 905 4.17      
31 A 928 890 2.60      
32 A 897 860 57.24      
33 A 851 817 29.90      
34 A 790 758 3.00      
35 A 755 724 44.34      
36 A 682 654 102.43      
37 A 629 603 50.79      
38 A 595 571 14.62      
39 A 517 496 35.99      
40 A 500 479 14.67      
41 A 354 340 2.24      
42 A 262 251 2.97      
43 A 186 178 0.25      
44 A 58 56 0.18      
45 A 43 42 2.02      

Unscaled Zero Point Vibrational Energy (zpe) 32002.7 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 30703.4 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/6-311G**
ABC
0.12070 0.05772 0.04644

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.049 0.150 0.801
C2 0.906 1.253 0.319
C3 1.993 0.503 -0.481
C4 1.476 -0.935 -0.560
N5 0.731 -1.066 0.684
C6 -1.355 0.170 0.007
O7 -1.904 1.155 -0.407
O8 -1.844 -1.070 -0.171
H9 -0.353 0.308 1.843
H10 1.337 1.778 1.173
H11 0.363 1.984 -0.281
H12 2.943 0.526 0.056
H13 2.154 0.935 -1.470
H14 2.280 -1.673 -0.607
H15 0.846 -1.062 -1.458
H16 0.153 -1.895 0.715
H17 -2.675 -0.971 -0.650

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.53692.43652.31411.44921.52882.43092.37751.09732.17022.16913.10673.26013.27632.71512.05713.2024
C21.53691.54422.42582.35422.52702.90433.63312.19141.09091.09052.17912.20473.36342.91923.26174.3254
C32.43651.54421.52902.32573.39973.95194.15793.30782.18872.21161.09211.09182.19852.17173.25034.8973
C42.31412.42581.52901.45603.09193.97713.34573.26563.22123.13642.15982.18711.09301.10432.07354.1522
N51.44922.35422.32571.45602.51753.61442.71272.09872.94803.22022.79723.26652.10642.14471.01163.6587
C61.52882.52703.39973.09192.51751.20081.34442.09733.34602.51574.31383.88374.12242.91722.65351.8638
O72.43092.90433.95193.97713.61441.20082.23802.86173.65972.41784.91014.20105.05483.68563.84602.2740
O82.37753.63314.15793.34572.71271.34442.23802.85984.47593.76995.05144.65754.19102.98222.33470.9645
H91.09732.19143.30783.26562.09872.09732.86172.85982.33782.79943.75584.20224.10633.76982.52653.6395
H102.17021.09092.18873.22122.94803.34603.65974.47592.33781.76242.32212.89213.99563.90193.88625.1938
H112.16911.09052.21163.13643.22022.51572.41783.76992.79941.76242.98282.39234.14273.30144.01104.2543
H123.10672.17911.09212.15982.79724.31384.91015.05143.75582.32212.98281.76642.39103.03513.75315.8568
H133.26012.20471.09182.18713.26653.88374.20104.65754.20222.89212.39231.76642.75062.38724.09765.2555
H143.27633.36342.19851.09302.10644.12245.05484.19104.10633.99564.14272.39102.75061.77612.51465.0049
H152.71512.91922.17171.10432.14472.91723.68562.98223.76983.90193.30143.03512.38721.77612.42783.6135
H162.05713.26173.25032.07351.01162.65353.84602.33472.52653.88624.01103.75314.09762.51462.42783.2729
H173.20244.32544.89734.15223.65871.86382.27400.96453.63955.19384.25435.85685.25555.00493.61353.2729

picture of Proline state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 104.518 C1 C2 H10 110.199
C1 C2 H11 110.137 C1 N5 C4 105.598
C1 N5 H16 112.206 C1 C6 O7 125.460
C1 C6 O8 111.520 C2 C1 N5 104.031
C2 C1 C6 111.035 C2 C1 H9 111.498
C2 C3 C4 104.247 C2 C3 H12 110.319
C2 C3 H13 112.386 C3 C2 H10 111.155
C3 C2 H11 113.030 C3 C4 N5 102.334
C3 C4 H14 112.901 C3 C4 H15 110.068
C4 C3 H12 109.858 C4 C3 H13 112.054
C4 N5 H16 113.112 N5 C1 C6 115.401
N5 C1 H9 110.239 N5 C4 H14 110.646
N5 C4 H15 113.073 C6 C1 H9 104.805
C6 O8 H17 106.485 O7 C6 O8 123.016
H10 C2 H11 107.796 H12 C3 H13 107.962
H14 C4 H15 107.858
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.159      
2 C -0.242      
3 C -0.251      
4 C -0.117      
5 N -0.393      
6 C 0.388      
7 O -0.343      
8 O -0.336      
9 H 0.169      
10 H 0.142      
11 H 0.159      
12 H 0.139      
13 H 0.134      
14 H 0.130      
15 H 0.112      
16 H 0.208      
17 H 0.258      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.029 -1.354 -0.405 1.414
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.097 5.832 -1.132
y 5.832 -49.441 2.620
z -1.132 2.620 -47.260
Traceless
 xyz
x 2.253 5.832 -1.132
y 5.832 -2.762 2.620
z -1.132 2.620 0.509
Polar
3z2-r21.018
x2-y23.343
xy5.832
xz-1.132
yz2.620


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.385 0.043 0.063
y 0.043 9.845 0.185
z 0.063 0.185 8.215


<r2> (average value of r2) Å2
<r2> 256.298
(<r2>)1/2 16.009