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All results from a given calculation for C5H9NO2 (Proline)

using model chemistry: mPW1PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-401.091461
Energy at 298.15K-401.103893
HF Energy-401.091461
Nuclear repulsion energy397.986753
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 mPW1PW91/6-31+G**
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 3819 3635 79.13      
2 A 3614 3440 9.45      
3 A 3175 3022 15.81      
4 A 3150 2998 12.58      
5 A 3125 2974 27.17      
6 A 3120 2969 40.69      
7 A 3100 2951 20.97      
8 A 3065 2918 18.91      
9 A 2974 2831 81.90      
10 A 1847 1758 288.62      
11 A 1536 1462 0.35      
12 A 1518 1445 7.72      
13 A 1497 1425 0.98      
14 A 1462 1391 27.55      
15 A 1382 1315 27.75      
16 A 1375 1309 13.94      
17 A 1341 1276 7.96      
18 A 1330 1266 26.10      
19 A 1325 1261 2.18      
20 A 1267 1206 5.09      
21 A 1256 1195 2.06      
22 A 1229 1170 17.19      
23 A 1212 1153 4.29      
24 A 1179 1123 206.63      
25 A 1165 1108 46.24      
26 A 1116 1062 1.15      
27 A 1092 1039 5.81      
28 A 1011 963 5.44      
29 A 978 931 8.13      
30 A 945 899 3.63      
31 A 928 884 2.38      
32 A 891 848 51.68      
33 A 850 809 35.00      
34 A 791 752 1.99      
35 A 752 716 45.01      
36 A 675 643 101.86      
37 A 627 597 61.13      
38 A 593 565 19.90      
39 A 509 485 32.35      
40 A 498 474 18.64      
41 A 350 333 2.62      
42 A 258 246 2.86      
43 A 181 173 0.24      
44 A 54 52 0.32      
45 A 36 34 2.37      

Unscaled Zero Point Vibrational Energy (zpe) 32097.4 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 30550.3 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 mPW1PW91/6-31+G**
ABC
0.12055 0.05708 0.04593

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.051 0.142 0.794
C2 0.911 1.251 0.327
C3 2.009 0.507 -0.469
C4 1.499 -0.934 -0.562
N5 0.731 -1.074 0.669
C6 -1.360 0.170 -0.002
O7 -1.910 1.164 -0.409
O8 -1.877 -1.065 -0.163
H9 -0.357 0.289 1.837
H10 1.334 1.768 1.189
H11 0.377 1.990 -0.273
H12 2.956 0.531 0.076
H13 2.179 0.946 -1.455
H14 2.305 -1.672 -0.598
H15 0.883 -1.063 -1.469
H16 0.161 -1.911 0.696
H17 -2.717 -0.969 -0.632

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.54082.44392.32371.45151.53242.43842.38901.09752.17222.17553.11533.26703.28282.72852.06633.2214
C21.54081.54702.43152.35792.53752.91653.65772.19491.09101.09082.18192.20763.36762.92933.27104.3608
C32.44391.54701.53162.33063.41863.97404.20303.31202.19052.21401.09231.09212.20232.17533.25904.9543
C42.32372.43151.53161.45813.11604.00593.40183.27133.22463.14522.16212.18941.09301.10402.08054.2171
N51.45152.35792.33061.45812.52403.62582.73722.09972.95223.22512.80703.26962.10712.14361.01243.6868
C61.53242.53753.41863.11602.52401.20711.34792.09803.35182.53074.33173.90384.14512.95042.67021.8802
O72.43842.91653.97404.00593.62581.20712.24312.86693.66612.43474.93004.22565.08363.72603.86862.2923
O82.38903.65774.20303.40182.73721.34792.24312.85394.49073.79765.09464.70724.24793.05292.36790.9670
H91.09752.19493.31203.27132.09972.09802.86692.85392.33852.80753.76014.20744.10653.78132.53193.6398
H102.17221.09102.19053.22462.95223.35183.66614.49072.33851.76152.32382.89523.99613.90973.89295.2177
H112.17551.09082.21403.14523.22512.53072.43473.79762.80751.76152.98302.39454.15073.31744.02494.2963
H123.11532.18191.09232.16212.80704.33174.93005.09463.76012.32382.98301.76592.39333.03683.76275.9103
H133.26702.20761.09212.18943.26963.90384.22564.70724.20742.89522.39451.76592.75732.39044.10625.3212
H143.28283.36762.20231.09302.10714.14515.08364.24794.10653.99614.15072.39332.75731.77562.51585.0714
H152.72852.92932.17531.10402.14362.95043.72603.05293.78133.90973.31743.03682.39041.77562.43513.6975
H162.06633.27103.25902.08051.01242.67023.86862.36792.53193.89294.02493.76274.10622.51582.43513.3068
H173.22144.36084.95434.21713.68681.88022.29230.96703.63985.21774.29635.91035.32125.07143.69753.3068

picture of Proline state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 104.641 C1 C2 H10 110.075
C1 C2 H11 110.352 C1 N5 C4 105.998
C1 N5 H16 112.775 C1 C6 O7 125.345
C1 C6 O8 111.924 C2 C1 N5 103.952
C2 C1 C6 111.316 C2 C1 H9 111.488
C2 C3 C4 104.336 C2 C3 H12 110.330
C2 C3 H13 112.398 C3 C2 H10 111.094
C3 C2 H11 112.998 C3 C4 N5 102.410
C3 C4 H14 113.028 C3 C4 H15 110.198
C4 C3 H12 109.844 C4 C3 H13 112.041
C4 N5 H16 113.505 N5 C1 C6 115.501
N5 C1 H9 110.143 N5 C4 H14 110.553
N5 C4 H15 112.851 C6 C1 H9 104.613
C6 O8 H17 107.487 O7 C6 O8 122.689
H10 C2 H11 107.682 H12 C3 H13 107.881
H14 C4 H15 107.841
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.064      
2 C -0.306      
3 C -0.381      
4 C -0.198      
5 N -0.334      
6 C 0.236      
7 O -0.429      
8 O -0.448      
9 H 0.197      
10 H 0.172      
11 H 0.198      
12 H 0.178      
13 H 0.170      
14 H 0.162      
15 H 0.149      
16 H 0.315      
17 H 0.384      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.204 -1.342 -0.431 1.424
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.484 6.203 -1.449
y 6.203 -50.034 2.954
z -1.449 2.954 -47.950
Traceless
 xyz
x 2.509 6.203 -1.449
y 6.203 -2.817 2.954
z -1.449 2.954 0.309
Polar
3z2-r20.617
x2-y23.551
xy6.203
xz-1.449
yz2.954


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.082 -0.103 0.178
y -0.103 10.513 0.067
z 0.178 0.067 8.968


<r2> (average value of r2) Å2
<r2> 258.785
(<r2>)1/2 16.087