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All results from a given calculation for C5H9NO2 (Proline)

using model chemistry: mPW1PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-401.170493
Energy at 298.15K-401.182996
HF Energy-401.170493
Nuclear repulsion energy398.995341
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 mPW1PW91/6-311G**
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 3818 3652 72.79      
2 A 3596 3441 7.54      
3 A 3157 3020 21.07      
4 A 3132 2996 13.03      
5 A 3109 2975 23.58      
6 A 3103 2969 51.21      
7 A 3085 2952 18.01      
8 A 3051 2919 20.27      
9 A 2959 2831 78.54      
10 A 1858 1777 266.71      
11 A 1531 1465 0.63      
12 A 1513 1448 7.91      
13 A 1492 1427 1.45      
14 A 1463 1399 23.69      
15 A 1381 1321 27.82      
16 A 1375 1315 5.89      
17 A 1339 1281 7.57      
18 A 1333 1275 12.26      
19 A 1321 1264 3.33      
20 A 1265 1210 4.78      
21 A 1252 1198 2.65      
22 A 1226 1173 15.08      
23 A 1210 1158 10.41      
24 A 1182 1131 219.66      
25 A 1164 1113 39.44      
26 A 1113 1065 1.90      
27 A 1090 1042 5.93      
28 A 1012 968 5.41      
29 A 976 934 7.56      
30 A 943 902 3.86      
31 A 928 888 2.79      
32 A 895 856 54.09      
33 A 851 815 32.05      
34 A 791 757 2.64      
35 A 754 721 44.85      
36 A 681 652 101.30      
37 A 630 602 53.15      
38 A 596 570 15.47      
39 A 516 493 35.39      
40 A 499 478 14.73      
41 A 353 337 2.29      
42 A 261 250 3.00      
43 A 184 176 0.25      
44 A 57 55 0.20      
45 A 42 40 2.01      

Unscaled Zero Point Vibrational Energy (zpe) 32042.3 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 30654.8 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 mPW1PW91/6-311G**
ABC
0.12097 0.05748 0.04623

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.050 0.149 0.799
C2 0.906 1.254 0.319
C3 1.996 0.504 -0.478
C4 1.483 -0.935 -0.559
N5 0.731 -1.067 0.682
C6 -1.358 0.170 0.006
O7 -1.907 1.154 -0.407
O8 -1.850 -1.069 -0.170
H9 -0.353 0.306 1.840
H10 1.334 1.777 1.173
H11 0.365 1.984 -0.282
H12 2.944 0.530 0.061
H13 2.160 0.936 -1.466
H14 2.288 -1.671 -0.601
H15 0.859 -1.064 -1.459
H16 0.155 -1.897 0.711
H17 -2.681 -0.970 -0.648

Atom - Atom Distances (Å)
  C1 C2 C3 C4 N5 C6 O7 O8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.53772.43842.31701.44991.52952.43112.37941.09592.16962.16923.10743.26103.27722.71942.05803.2042
C21.53771.54482.42722.35502.52942.90673.63712.19061.08951.08902.17842.20433.36302.92133.26214.3298
C32.43841.54481.52942.32683.40543.95784.16693.30702.18782.21101.09071.09052.19792.17113.25094.9072
C42.31702.42721.52941.45663.10003.98503.35823.26593.22103.13722.15922.18671.09161.10282.07424.1653
N51.44992.35502.32681.45662.51963.61592.71762.09802.94843.21962.79863.26602.10602.14411.01053.6630
C61.52952.52943.40543.10002.51961.20031.34462.09603.34562.51844.31753.88974.12902.92952.65661.8649
O72.43112.90673.95783.98503.61591.20032.23682.86033.65892.42224.91364.20855.06143.69873.84852.2742
O82.37943.63714.16693.35822.71761.34462.23682.85864.47703.77355.05884.66694.20332.99962.34130.9638
H91.09592.19063.30703.26592.09802.09602.86032.85862.33632.79903.75384.20074.10423.77222.52663.6383
H102.16961.08952.18783.22102.94843.34563.65894.47702.33631.75982.32082.89023.99353.90193.88595.1948
H112.16921.08902.21103.13723.21962.51842.42223.77352.79901.75982.98032.39184.14183.30434.01094.2593
H123.10742.17841.09072.15922.79864.31754.91365.05883.75382.32082.98031.76382.38993.03263.75345.8648
H133.26102.20431.09052.18673.26603.88974.20854.66694.20072.89022.39181.76382.75002.38644.09715.2670
H143.27723.36302.19791.09162.10604.12905.06144.20334.10423.99354.14182.38992.75001.77342.51445.0183
H152.71942.92132.17111.10282.14412.92953.69872.99963.77223.90193.30433.03262.38641.77342.42843.6330
H162.05803.26213.25092.07421.01052.65663.84852.34132.52663.88594.01093.75344.09712.51442.42843.2786
H173.20424.32984.90724.16533.66301.86492.27420.96383.63835.19484.25935.86485.26705.01833.63303.2786

picture of Proline state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 104.565 C1 C2 H10 110.177
C1 C2 H11 110.178 C1 N5 C4 105.724
C1 N5 H16 112.301 C1 C6 O7 125.466
C1 C6 O8 111.604 C2 C1 N5 104.008
C2 C1 C6 111.109 C2 C1 H9 111.467
C2 C3 C4 104.281 C2 C3 H12 110.301
C2 C3 H13 112.393 C3 C2 H10 111.127
C3 C2 H11 113.027 C3 C4 N5 102.349
C3 C4 H14 112.908 C3 C4 H15 110.082
C4 C3 H12 109.854 C4 C3 H13 112.067
C4 N5 H16 113.191 N5 C1 C6 115.467
N5 C1 H9 110.222 N5 C4 H14 110.653
N5 C4 H15 113.072 C6 C1 H9 104.736
C6 O8 H17 106.613 O7 C6 O8 122.924
H10 C2 H11 107.763 H12 C3 H13 107.931
H14 C4 H15 107.820
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.150      
2 C -0.239      
3 C -0.247      
4 C -0.109      
5 N -0.401      
6 C 0.393      
7 O -0.348      
8 O -0.342      
9 H 0.168      
10 H 0.140      
11 H 0.158      
12 H 0.137      
13 H 0.132      
14 H 0.128      
15 H 0.111      
16 H 0.210      
17 H 0.260      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.053 -1.346 -0.410 1.408
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.965 5.840 -1.143
y 5.840 -49.377 2.641
z -1.143 2.641 -47.165
Traceless
 xyz
x 2.305 5.840 -1.143
y 5.840 -2.811 2.641
z -1.143 2.641 0.506
Polar
3z2-r21.013
x2-y23.411
xy5.840
xz-1.143
yz2.641


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.366 0.040 0.057
y 0.040 9.816 0.178
z 0.057 0.178 8.171


<r2> (average value of r2) Å2
<r2> 256.935
(<r2>)1/2 16.029