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All results from a given calculation for C5H9NO2 (Proline)

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-400.833827
Energy at 298.15K-400.846003
HF Energy-400.833827
Nuclear repulsion energy395.329565
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 PBEPBEultrafine/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 3614 3573 48.29      
2 A 3463 3424 5.28      
3 A 3060 3025 18.44      
4 A 3036 3002 9.81      
5 A 3015 2982 21.01      
6 A 3008 2974 46.07      
7 A 2993 2959 15.76      
8 A 2946 2913 18.88      
9 A 2859 2827 80.23      
10 A 1741 1722 248.98      
11 A 1469 1452 0.48      
12 A 1455 1439 7.12      
13 A 1437 1421 1.26      
14 A 1399 1383 17.40      
15 A 1315 1300 6.48      
16 A 1303 1289 9.45      
17 A 1283 1269 1.38      
18 A 1278 1263 17.04      
19 A 1270 1256 4.07      
20 A 1215 1201 0.91      
21 A 1193 1180 0.58      
22 A 1166 1153 11.52      
23 A 1161 1148 3.86      
24 A 1112 1100 37.59      
25 A 1095 1083 197.63      
26 A 1068 1056 13.47      
27 A 1047 1035 14.44      
28 A 970 960 5.01      
29 A 933 923 9.54      
30 A 905 895 3.98      
31 A 892 882 2.24      
32 A 852 842 41.35      
33 A 809 800 29.03      
34 A 754 745 0.80      
35 A 712 704 37.55      
36 A 652 644 86.75      
37 A 603 596 43.98      
38 A 571 564 14.72      
39 A 499 493 35.92      
40 A 465 459 11.31      
41 A 332 328 2.31      
42 A 246 243 2.46      
43 A 176 174 0.14      
44 A 52 51 0.17      
45 A 30 30 2.41      

Unscaled Zero Point Vibrational Energy (zpe) 30724.2 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 30380.1 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
0.11989 0.05605 0.04504

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.052 0.139 0.792
C2 0.912 1.256 0.328
C3 2.020 0.516 -0.469
C4 1.520 -0.934 -0.563
N5 0.743 -1.080 0.671
C6 -1.374 0.169 -0.004
O7 -1.926 1.171 -0.406
O8 -1.891 -1.076 -0.165
H9 -0.361 0.287 1.841
H10 1.333 1.776 1.196
H11 0.374 1.996 -0.273
H12 2.970 0.546 0.080
H13 2.190 0.958 -1.458
H14 2.335 -1.669 -0.597
H15 0.907 -1.067 -1.479
H16 0.176 -1.925 0.696
H17 -2.740 -0.974 -0.634

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.54682.45522.33681.46031.54292.45132.40341.10292.18182.18303.13123.28033.30092.74472.07853.2398
C21.54681.55322.44162.36672.55292.93263.68022.20141.09561.09512.19062.21653.38152.94323.28524.3860
C32.45521.55321.53672.34013.44354.00074.23433.32512.19872.22261.09691.09652.21062.18263.27304.9906
C42.33682.44161.53671.46553.14704.04053.43723.28713.23663.15952.16962.19741.09801.10982.09094.2602
N51.46032.36672.34011.46552.54853.65292.76362.11032.96283.23852.81963.28272.11852.15621.01763.7205
C61.54292.55293.44353.14702.54851.21201.35862.10763.36842.54294.36053.92904.18162.98462.69741.8897
O72.45132.93264.00074.04053.65291.21202.26022.87723.68122.44734.95894.25345.12373.76603.90032.3055
O82.40343.68024.23433.43722.76361.35862.26022.86804.51493.81915.13044.73984.28943.09162.39490.9748
H91.10292.20143.32513.28712.11032.10762.87722.86802.34522.81633.77584.22334.12673.80272.54713.6573
H102.18181.09562.19873.23662.96283.36843.68124.51492.34521.76842.33192.90684.01053.92673.90905.2439
H112.18301.09512.22263.15953.23852.54292.44733.81912.81631.76842.99392.40384.16903.33444.04364.3187
H123.13122.19061.09692.16962.81964.36054.95895.13043.77582.33192.99391.77282.40123.04733.77975.9513
H133.28032.21651.09652.19743.28273.92904.25344.73984.22332.90682.40381.77282.76792.39664.12335.3584
H143.30093.38152.21061.09802.11854.18165.12374.28944.12674.01054.16902.40122.76791.78352.52925.1222
H152.74472.94322.18261.10982.15622.98463.76603.09163.80273.92673.33443.04732.39661.78352.44993.7446
H162.07853.28523.27302.09091.01762.69743.90032.39492.54713.90904.04363.77974.12332.52922.44993.3429
H173.23984.38604.99064.26023.72051.88972.30550.97483.65735.24394.31875.95135.35845.12223.74463.3429

picture of Proline state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 104.749 C1 C2 H10 110.152
C1 C2 H11 110.272 C1 N5 C4 106.007
C1 N5 H16 112.812 C1 C6 O7 125.264
C1 C6 O8 111.695 C2 C1 N5 103.784
C2 C1 C6 111.432 C2 C1 H9 111.264
C2 C3 C4 104.404 C2 C3 H12 110.317
C2 C3 H13 112.404 C3 C2 H10 111.035
C3 C2 H11 112.986 C3 C4 N5 102.398
C3 C4 H14 113.021 C3 C4 H15 110.072
C4 C3 H12 109.811 C4 C3 H13 112.043
C4 N5 H16 113.490 N5 C1 C6 116.092
N5 C1 H9 110.050 N5 C4 H14 110.646
N5 C4 H15 112.983 C6 C1 H9 104.377
C6 O8 H17 107.015 O7 C6 O8 122.996
H10 C2 H11 107.653 H12 C3 H13 107.853
H14 C4 H15 107.769
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.300      
2 C -0.331      
3 C -0.348      
4 C -0.182      
5 N -0.350      
6 C 0.644      
7 O -0.704      
8 O -0.330      
9 H 0.188      
10 H 0.156      
11 H 0.151      
12 H 0.094      
13 H 0.229      
14 H 0.213      
15 H 0.178      
16 H -0.056      
17 H 0.146      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.356 -1.317 -0.415 1.426
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.825 6.038 -1.192
y 6.038 -49.995 2.329
z -1.192 2.329 -48.402
Traceless
 xyz
x 1.374 6.038 -1.192
y 6.038 -1.882 2.329
z -1.192 2.329 0.508
Polar
3z2-r21.016
x2-y22.170
xy6.038
xz-1.192
yz2.329


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.775 -0.005 0.175
y -0.005 11.855 0.183
z 0.175 0.183 10.141


<r2> (average value of r2) Å2
<r2> 262.777
(<r2>)1/2 16.210